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Merge branch 'swizzle' of ssh://ogl-math.git.sourceforge.net/gitroot/ogl-math/ogl-math into swizzle

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This commit is contained in:
Christophe Riccio 2011-10-15 01:57:47 +01:00
commit 12f0a2a20b
79 changed files with 7994 additions and 11369 deletions
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81
glm/core/_vectorize.hpp
View file

@ -26,7 +26,7 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#define VECTORIZE_1PARAM(func) \
#define VECTORIZE2_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec2<T> func( \
detail::tvec2<T> const & v) \
@ -34,8 +34,9 @@
return detail::tvec2<T>( \
func(v.x), \
func(v.y)); \
} \
\
}
#define VECTORIZE3_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec3<T> func( \
detail::tvec3<T> const & v) \
@ -44,8 +45,9 @@
func(v.x), \
func(v.y), \
func(v.z)); \
} \
\
}
#define VECTORIZE4_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec4<T> func( \
detail::tvec4<T> const & v) \
@ -57,7 +59,59 @@
func(v.w)); \
}
#define VECTORIZE_2PARAMS(func) \
#define VECTORIZE_VEC(func) \
VECTORIZE2_VEC(func) \
VECTORIZE3_VEC(func) \
VECTORIZE4_VEC(func)
#define VECTORIZE2_VEC_SCA(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec2<T> func \
( \
detail::tvec2<T> const & x, \
typename detail::tvec2<T>::value_type const & y \
) \
{ \
return detail::tvec2<T>( \
func(x.x, y), \
func(x.y, y)); \
}
#define VECTORIZE3_VEC_SCA(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec3<T> func \
( \
detail::tvec3<T> const & x, \
typename detail::tvec3<T>::value_type const & y \
) \
{ \
return detail::tvec3<T>( \
func(x.x, y), \
func(x.y, y), \
func(x.z, y)); \
}
#define VECTORIZE4_VEC_SCA(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec4<T> func \
( \
detail::tvec4<T> const & x, \
typename detail::tvec4<T>::value_type const & y \
) \
{ \
return detail::tvec4<T>( \
func(x.x, y), \
func(x.y, y), \
func(x.z, y), \
func(x.w, y)); \
}
#define VECTORIZE_VEC_SCA(func) \
VECTORIZE2_VEC_SCA(func) \
VECTORIZE3_VEC_SCA(func) \
VECTORIZE4_VEC_SCA(func)
#define VECTORIZE2_VEC_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec2<T> func \
( \
@ -68,8 +122,9 @@
return detail::tvec2<T>( \
func(x.x, y.x), \
func(x.y, y.y)); \
} \
\
}
#define VECTORIZE3_VEC_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec3<T> func \
( \
@ -81,8 +136,9 @@
func(x.x, y.x), \
func(x.y, y.y), \
func(x.z, y.z)); \
} \
\
}
#define VECTORIZE4_VEC_VEC(func) \
template <typename T> \
GLM_FUNC_QUALIFIER detail::tvec4<T> func \
( \
@ -96,3 +152,8 @@
func(x.z, y.z), \
func(x.w, y.w)); \
}
#define VECTORIZE_VEC_VEC(func) \
VECTORIZE2_VEC_VEC(func) \
VECTORIZE3_VEC_VEC(func) \
VECTORIZE4_VEC_VEC(func)

256
glm/core/func_common.hpp
View file

@ -44,72 +44,90 @@ namespace glm
/// @{
/// Returns x if x >= 0; otherwise, it returns -x.
///
/// @tparam genType floating-point or signed integer; scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/abs.xml">GLSL abs man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genFIType>
genFIType abs(genFIType const & x);
template <typename genType>
genType abs(genType const & x);
/// Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0.
///
///
/// @tparam genType Floating-point or signed integer; scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sign.xml">GLSL sign man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genFIType>
genFIType sign(genFIType const & x);
template <typename genType>
genType sign(genType const & x);
//! Returns a value equal to the nearest integer that is less then or equal to x.
//!
/// Returns a value equal to the nearest integer that is less then or equal to x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floor.xml">GLSL floor man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType floor(genType const & x);
//! Returns a value equal to the nearest integer to x
//! whose absolute value is not larger than the absolute value of x.
//!
/// Returns a value equal to the nearest integer to x
/// whose absolute value is not larger than the absolute value of x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/trunc.xml">GLSL trunc man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType trunc(genType const & x);
//! Returns a value equal to the nearest integer to x.
//! The fraction 0.5 will round in a direction chosen by the
//! implementation, presumably the direction that is fastest.
//! This includes the possibility that round(x) returns the
//! same value as roundEven(x) for all values of x.
//!
/// Returns a value equal to the nearest integer to x.
/// The fraction 0.5 will round in a direction chosen by the
/// implementation, presumably the direction that is fastest.
/// This includes the possibility that round(x) returns the
/// same value as roundEven(x) for all values of x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType round(genType const & x);
//! Returns a value equal to the nearest integer to x.
//! A fractional part of 0.5 will round toward the nearest even
//! integer. (Both 3.5 and 4.5 for x will return 4.0.)
//!
/// Returns a value equal to the nearest integer to x.
/// A fractional part of 0.5 will round toward the nearest even
/// integer. (Both 3.5 and 4.5 for x will return 4.0.)
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/roundEven.xml">GLSL roundEven man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType roundEven(genType const & x);
//! Returns a value equal to the nearest integer
//! that is greater than or equal to x.
//!
/// Returns a value equal to the nearest integer
/// that is greater than or equal to x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ceil.xml">GLSL ceil man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType ceil(genType const & x);
//! Return x - floor(x).
//!
/// Return x - floor(x).
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fract.xml">GLSL fract man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType fract(genType const & x);
//! Modulus. Returns x - y * floor(x / y)
//! for each component in x using the floating point value y.
//!
/// Modulus. Returns x - y * floor(x / y)
/// for each component in x using the floating point value y.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
@ -117,9 +135,11 @@ namespace glm
genType const & x,
genType const & y);
//! Modulus. Returns x - y * floor(x / y)
//! for each component in x using the floating point value y.
//!
/// Modulus. Returns x - y * floor(x / y)
/// for each component in x using the floating point value y.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
@ -127,11 +147,13 @@ namespace glm
genType const & x,
typename genType::value_type const & y);
//! Returns the fractional part of x and sets i to the integer
//! part (as a whole number floating point value). Both the
//! return value and the output parameter will have the same
//! sign as x.
//!
/// Returns the fractional part of x and sets i to the integer
/// part (as a whole number floating point value). Both the
/// return value and the output parameter will have the same
/// sign as x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/modf.xml">GLSL modf man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
@ -140,6 +162,8 @@ namespace glm
genType & i);
/// Returns y if y < x; otherwise, it returns x.
///
/// @tparam genType Floating-point or integer; scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/min.xml">GLSL min man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
@ -154,6 +178,8 @@ namespace glm
typename genType::value_type const & y);
/// Returns y if x < y; otherwise, it returns x.
///
/// @tparam genType Floating-point or integer; scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/max.xml">GLSL max man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
@ -167,9 +193,11 @@ namespace glm
genType const & x,
typename genType::value_type const & y);
//! Returns min(max(x, minVal), maxVal) for each component in x
//! using the floating-point values minVal and maxVal.
//!
/// Returns min(max(x, minVal), maxVal) for each component in x
/// using the floating-point values minVal and maxVal.
///
/// @tparam genType Floating-point or integer; scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/clamp.xml">GLSL clamp man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
@ -243,16 +271,18 @@ namespace glm
typename genType::value_type const & edge,
genType const & x);
//! Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
//! performs smooth Hermite interpolation between 0 and 1
//! when edge0 < x < edge1. This is useful in cases where
//! you would want a threshold function with a smooth
//! transition. This is equivalent to:
//! genType t;
//! t = clamp ((x – edge0) / (edge1 – edge0), 0, 1);
//! return t * t * (3 – 2 * t);
//! Results are undefined if edge0 >= edge1.
//!
/// Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
/// performs smooth Hermite interpolation between 0 and 1
/// when edge0 < x < edge1. This is useful in cases where
/// you would want a threshold function with a smooth
/// transition. This is equivalent to:
/// genType t;
/// t = clamp ((x – edge0) / (edge1 – edge0), 0, 1);
/// return t * t * (3 – 2 * t);
/// Results are undefined if edge0 >= edge1.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/smoothstep.xml">GLSL smoothstep man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
@ -267,97 +297,123 @@ namespace glm
typename genType::value_type const & edge1,
genType const & x);
//! Returns true if x holds a NaN (not a number)
//! representation in the underlying implementation's set of
//! floating point representations. Returns false otherwise,
//! including for implementations with no NaN
//! representations.
//!
/// Returns true if x holds a NaN (not a number)
/// representation in the underlying implementation's set of
/// floating point representations. Returns false otherwise,
/// including for implementations with no NaN
/// representations.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
typename genType::bool_type isnan(genType const & x);
//! Returns true if x holds a positive infinity or negative
//! infinity representation in the underlying implementation's
//! set of floating point representations. Returns false
//! otherwise, including for implementations with no infinity
//! representations.
//!
/// Returns true if x holds a positive infinity or negative
/// infinity representation in the underlying implementation's
/// set of floating point representations. Returns false
/// otherwise, including for implementations with no infinity
/// representations.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isinf.xml">GLSL isinf man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
typename genType::bool_type isinf(genType const & x);
//! Returns a signed integer value representing
//! the encoding of a floating-point value. The floatingpoint
//! value's bit-level representation is preserved.
//!
/// Returns a signed integer value representing
/// the encoding of a floating-point value. The floatingpoint
/// value's bit-level representation is preserved.
///
/// @tparam genType Single-precision floating-point scalar or vector types.
/// @tparam genIType Signed integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType, typename genIType>
genIType floatBitsToInt(genType const & value);
//! Returns a unsigned integer value representing
//! the encoding of a floating-point value. The floatingpoint
//! value's bit-level representation is preserved.
//!
/// Returns a unsigned integer value representing
/// the encoding of a floating-point value. The floatingpoint
/// value's bit-level representation is preserved.
///
/// @tparam genType Single-precision floating-point scalar or vector types.
/// @tparam genUType Unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType, typename genUType>
genUType floatBitsToUint(genType const & value);
//! Returns a floating-point value corresponding to a signed
//! integer encoding of a floating-point value.
//! If an inf or NaN is passed in, it will not signal, and the
//! resulting floating point value is unspecified. Otherwise,
//! the bit-level representation is preserved.
//!
/// Returns a floating-point value corresponding to a signed
/// integer encoding of a floating-point value.
/// If an inf or NaN is passed in, it will not signal, and the
/// resulting floating point value is unspecified. Otherwise,
/// the bit-level representation is preserved.
///
/// @tparam genType Single-precision floating-point scalar or vector types.
/// @tparam genIType Signed integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
///
/// @todo - Clarify this declaration, we don't need to actually specify the return type
template <typename genType, typename genIType>
genType intBitsToFloat(genIType const & value);
//! Returns a floating-point value corresponding to a
//! unsigned integer encoding of a floating-point value.
//! If an inf or NaN is passed in, it will not signal, and the
//! resulting floating point value is unspecified. Otherwise,
//! the bit-level representation is preserved.
//!
/// Returns a floating-point value corresponding to a
/// unsigned integer encoding of a floating-point value.
/// If an inf or NaN is passed in, it will not signal, and the
/// resulting floating point value is unspecified. Otherwise,
/// the bit-level representation is preserved.
///
/// @tparam genType Single-precision floating-point scalar or vector types.
/// @tparam genUType Unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
///
/// @todo - Clarify this declaration, we don't need to actually specify the return type
template <typename genType, typename genUType>
genType uintBitsToFloat(genUType const & value);
//! Computes and returns a * b + c.
//!
/// Computes and returns a * b + c.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fma.xml">GLSL fma man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType>
genType fma(genType const & a, genType const & b, genType const & c);
//! Splits x into a floating-point significand in the range
//! [0.5, 1.0) and an integral exponent of two, such that:
//! x = significand * exp(2, exponent)
//!
//! The significand is returned by the function and the
//! exponent is returned in the parameter exp. For a
//! floating-point value of zero, the significant and exponent
//! are both zero. For a floating-point value that is an
//! infinity or is not a number, the results are undefined.
//!
/// Splits x into a floating-point significand in the range
/// [0.5, 1.0) and an integral exponent of two, such that:
/// x = significand * exp(2, exponent)
///
/// The significand is returned by the function and the
/// exponent is returned in the parameter exp. For a
/// floating-point value of zero, the significant and exponent
/// are both zero. For a floating-point value that is an
/// infinity or is not a number, the results are undefined.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/frexp.xml">GLSL frexp man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType, typename genIType>
genType frexp(genType const & x, genIType & exp);
//! Builds a floating-point number from x and the
//! corresponding integral exponent of two in exp, returning:
//! significand * exp(2, exponent)
//!
//! If this product is too large to be represented in the
//! floating-point type, the result is undefined.
//!
/// Builds a floating-point number from x and the
/// corresponding integral exponent of two in exp, returning:
/// significand * exp(2, exponent)
///
/// If this product is too large to be represented in the
/// floating-point type, the result is undefined.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ldexp.xml">GLSL ldexp man page</a>;
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3</a>
template <typename genType, typename genIType>

276
glm/core/func_common.inl
View file

@ -70,7 +70,7 @@ namespace detail
return detail::Abs_<genFIType, std::numeric_limits<genFIType>::is_signed>::get(x);
}
VECTORIZE_1PARAM(abs)
VECTORIZE_VEC(abs)
// sign
//Try something like based on x >> 31 to get the sign bit
@ -94,7 +94,7 @@ namespace detail
return result;
}
VECTORIZE_1PARAM(sign)
VECTORIZE_VEC(sign)
// floor
template <>
@ -111,7 +111,7 @@ namespace detail
return ::std::floor(x);
}
VECTORIZE_1PARAM(floor)
VECTORIZE_VEC(floor)
// trunc
template <typename genType>
@ -121,7 +121,7 @@ namespace detail
return x < 0 ? -floor(-x) : floor(x);
}
VECTORIZE_1PARAM(trunc)
VECTORIZE_VEC(trunc)
// round
template <typename genType>
@ -134,7 +134,7 @@ namespace detail
return genType(int(x + genType(0.5)));
}
VECTORIZE_1PARAM(round)
VECTORIZE_VEC(round)
/*
// roundEven
@ -161,7 +161,7 @@ namespace detail
return genType(int(x + RoundValue));
}
VECTORIZE_1PARAM(roundEven)
VECTORIZE_VEC(roundEven)
// ceil
template <typename genType>
@ -172,7 +172,7 @@ namespace detail
return ::std::ceil(x);
}
VECTORIZE_1PARAM(ceil)
VECTORIZE_VEC(ceil)
// fract
template <typename genType>
@ -186,7 +186,7 @@ namespace detail
return x - ::std::floor(x);
}
VECTORIZE_1PARAM(fract)
VECTORIZE_VEC(fract)
// mod
template <typename genType>
@ -201,83 +201,8 @@ namespace detail
return x - y * floor(x / y);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mod
(
detail::tvec2<T> const & x,
typename detail::tvec2<T>::value_type const & y
)
{
return detail::tvec2<T>(
mod(x.x, y),
mod(x.y, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mod
(
detail::tvec3<T> const & x,
typename detail::tvec3<T>::value_type const & y
)
{
return detail::tvec3<T>(
mod(x.x, y),
mod(x.y, y),
mod(x.z, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mod
(
detail::tvec4<T> const & x,
typename detail::tvec4<T>::value_type const & y
)
{
return detail::tvec4<T>(
mod(x.x, y),
mod(x.y, y),
mod(x.z, y),
mod(x.w, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mod
(
detail::tvec2<T> const & x,
detail::tvec2<T> const & y
)
{
return detail::tvec2<T>(
mod(x.x, y.x),
mod(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mod
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
return detail::tvec3<T>(
mod(x.x, y.x),
mod(x.y, y.y),
mod(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mod
(
detail::tvec4<T> const & x,
detail::tvec4<T> const & y
)
{
return detail::tvec4<T>(
mod(x.x, y.x),
mod(x.y, y.y),
mod(x.z, y.z),
mod(x.w, y.w));
}
VECTORIZE_VEC_SCA(mod)
VECTORIZE_VEC_VEC(mod)
// modf
template <typename genType>
@ -298,39 +223,39 @@ namespace detail
GLM_FUNC_QUALIFIER detail::tvec2<valType> modf
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
detail::tvec2<valType> & i
)
{
return detail::tvec2<valType>(
modf(x.x, y.x),
modf(x.y, y.y));
modf(x.x, i.x),
modf(x.y, i.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> modf
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
detail::tvec3<valType> & i
)
{
return detail::tvec3<valType>(
modf(x.x, y.x),
modf(x.y, y.y),
modf(x.z, y.z));
modf(x.x, i.x),
modf(x.y, i.y),
modf(x.z, i.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> modf
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
detail::tvec4<valType> & i
)
{
return detail::tvec4<valType>(
modf(x.x, y.x),
modf(x.y, y.y),
modf(x.z, y.z),
modf(x.w, y.w));
modf(x.x, i.x),
modf(x.y, i.y),
modf(x.z, i.z),
modf(x.w, i.w));
}
//// Only valid if (INT_MIN <= x-y <= INT_MAX)
@ -357,83 +282,8 @@ namespace detail
return x < y ? x : y;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> min
(
detail::tvec2<T> const & x,
typename detail::tvec2<T>::value_type const & y
)
{
return detail::tvec2<T>(
min(x.x, y),
min(x.y, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> min
(
detail::tvec3<T> const & x,
typename detail::tvec3<T>::value_type const & y
)
{
return detail::tvec3<T>(
min(x.x, y),
min(x.y, y),
min(x.z, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> min
(
detail::tvec4<T> const & x,
typename detail::tvec4<T>::value_type const & y
)
{
return detail::tvec4<T>(
min(x.x, y),
min(x.y, y),
min(x.z, y),
min(x.w, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> min
(
detail::tvec2<T> const & x,
detail::tvec2<T> const & y
)
{
return detail::tvec2<T>(
min(x.x, y.x),
min(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> min
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
return detail::tvec3<T>(
min(x.x, y.x),
min(x.y, y.y),
min(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> min
(
detail::tvec4<T> const & x,
detail::tvec4<T> const & y
)
{
return detail::tvec4<T>(
min(x.x, y.x),
min(x.y, y.y),
min(x.z, y.z),
min(x.w, y.w));
}
VECTORIZE_VEC_SCA(min)
VECTORIZE_VEC_VEC(min)
// max
template <typename genType>
@ -451,82 +301,8 @@ namespace detail
return x > y ? x : y;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> max
(
detail::tvec2<T> const & x,
typename detail::tvec2<T>::value_type y
)
{
return detail::tvec2<T>(
max(x.x, y),
max(x.y, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> max
(
detail::tvec3<T> const & x,
typename detail::tvec3<T>::value_type y
)
{
return detail::tvec3<T>(
max(x.x, y),
max(x.y, y),
max(x.z, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> max
(
detail::tvec4<T> const & x,
typename detail::tvec4<T>::value_type y
)
{
return detail::tvec4<T>(
max(x.x, y),
max(x.y, y),
max(x.z, y),
max(x.w, y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> max
(
detail::tvec2<T> const & x,
detail::tvec2<T> const & y
)
{
return detail::tvec2<T>(
max(x.x, y.x),
max(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> max
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
return detail::tvec3<T>(
max(x.x, y.x),
max(x.y, y.y),
max(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> max
(
detail::tvec4<T> const & x,
detail::tvec4<T> const & y)
{
return detail::tvec4<T>(
max(x.x, y.x),
max(x.y, y.y),
max(x.z, y.z),
max(x.w, y.w));
}
VECTORIZE_VEC_SCA(max)
VECTORIZE_VEC_VEC(max)
// clamp
template <typename valType>

21
glm/core/func_exponential.hpp
View file

@ -42,6 +42,9 @@ namespace glm
/// @{
/// Returns x raised to the y power.
///
/// @param x pow function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/pow.xml">GLSL pow man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
@ -49,6 +52,9 @@ namespace glm
genType pow(genType const & x, genType const & y);
/// Returns the natural exponentiation of x, i.e., e^x.
///
/// @param x exp function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp.xml">GLSL exp man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
@ -58,6 +64,9 @@ namespace glm
/// Returns the natural logarithm of x, i.e.,
/// returns the value y which satisfies the equation x = e^y.
/// Results are undefined if x <= 0.
///
/// @param x log function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/log.xml">GLSL log man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
@ -65,6 +74,9 @@ namespace glm
genType log(genType const & x);
/// Returns 2 raised to the x power.
///
/// @param x exp2 function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp2.xml">GLSL exp2 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
@ -74,6 +86,9 @@ namespace glm
/// Returns the base 2 log of x, i.e., returns the value y,
/// which satisfies the equation x = 2 ^ y.
///
/// @param x log2 function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/log2.xml">GLSL log2 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
template <typename genType>
@ -81,6 +96,9 @@ namespace glm
/// Returns the positive square root of x.
///
/// @param x sqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sqrt.xml">GLSL sqrt man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
template <typename genType>
@ -88,6 +106,9 @@ namespace glm
/// Returns the reciprocal of the positive square root of x.
///
/// @param x inversesqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision.
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inversesqrt.xml">GLSL inversesqrt man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2</a>
template <typename genType>

258
glm/core/func_exponential.inl
View file

@ -26,6 +26,8 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "_vectorize.hpp"
namespace glm
{
// pow
@ -41,44 +43,7 @@ namespace glm
return ::std::pow(x, y);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> pow
(
detail::tvec2<T> const & x,
detail::tvec2<T> const & y
)
{
return detail::tvec2<T>(
pow(x.x, y.x),
pow(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> pow
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y
)
{
return detail::tvec3<T>(
pow(x.x, y.x),
pow(x.y, y.y),
pow(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> pow
(
detail::tvec4<T> const & x,
detail::tvec4<T> const & y
)
{
return detail::tvec4<T>(
pow(x.x, y.x),
pow(x.y, y.y),
pow(x.z, y.z),
pow(x.w, y.w));
}
VECTORIZE_VEC_VEC(pow)
// exp
template <typename genType>
@ -92,41 +57,7 @@ namespace glm
return ::std::exp(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> exp
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
exp(x.x),
exp(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> exp
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
exp(x.x),
exp(x.y),
exp(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> exp
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
exp(x.x),
exp(x.y),
exp(x.z),
exp(x.w));
}
VECTORIZE_VEC(exp)
// log
template <typename genType>
@ -140,41 +71,7 @@ namespace glm
return ::std::log(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> log
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
log(x.x),
log(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> log
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
log(x.x),
log(x.y),
log(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> log
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
log(x.x),
log(x.y),
log(x.z),
log(x.w));
}
VECTORIZE_VEC(log)
//exp2, ln2 = 0.69314718055994530941723212145818f
template <typename genType>
@ -188,41 +85,7 @@ namespace glm
return ::std::exp(genType(0.69314718055994530941723212145818) * x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> exp2
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
exp2(x.x),
exp2(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> exp2
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
exp2(x.x),
exp2(x.y),
exp2(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> exp2
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
exp2(x.x),
exp2(x.y),
exp2(x.z),
exp2(x.w));
}
VECTORIZE_VEC(exp2)
namespace detail
{
@ -255,44 +118,11 @@ namespace detail
genType const & x
)
{
assert(x > genType(0)); // log2 is only defined on the range (0, inf]
return detail::compute_log2<detail::float_or_int_trait<genType>::ID>()(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> log2
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
log2(x.x),
log2(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> log2
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
log2(x.x),
log2(x.y),
log2(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> log2
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
log2(x.x),
log2(x.y),
log2(x.z),
log2(x.w));
}
VECTORIZE_VEC(log2)
// sqrt
template <typename genType>
@ -306,41 +136,7 @@ namespace detail
return genType(::std::sqrt(x));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> sqrt
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
glm::sqrt(x.x),
glm::sqrt(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> sqrt
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
glm::sqrt(x.x),
glm::sqrt(x.y),
glm::sqrt(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> sqrt
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
glm::sqrt(x.x),
glm::sqrt(x.y),
glm::sqrt(x.z),
glm::sqrt(x.w));
}
VECTORIZE_VEC(sqrt)
template <typename genType>
GLM_FUNC_QUALIFIER genType inversesqrt
@ -353,40 +149,6 @@ namespace detail
return genType(1) / ::std::sqrt(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> inversesqrt
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
inversesqrt(x.x),
inversesqrt(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> inversesqrt
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
inversesqrt(x.x),
inversesqrt(x.y),
inversesqrt(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> inversesqrt
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
inversesqrt(x.x),
inversesqrt(x.y),
inversesqrt(x.z),
inversesqrt(x.w));
}
VECTORIZE_VEC(inversesqrt)
}//namespace glm

22
glm/core/func_geometric.hpp
View file

@ -43,6 +43,8 @@ namespace glm
/// Returns the length of x, i.e., sqrt(x * x).
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml">GLSL length man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
template <typename genType>
@ -50,6 +52,8 @@ namespace glm
genType const & x);
/// Returns the distance betwwen p0 and p1, i.e., length(p0 - p1).
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/distance.xml">GLSL distance man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
@ -59,6 +63,8 @@ namespace glm
genType const & p1);
/// Returns the dot product of x and y, i.e., result = x * y.
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/dot.xml">GLSL dot man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
@ -68,13 +74,15 @@ namespace glm
genType const & y);
/// Returns the cross product of x and y.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cross.xml">GLSL cross man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
template <typename T>
detail::tvec3<T> cross(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y);
template <typename valType>
detail::tvec3<valType> cross(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y);
/// Returns a vector in the same direction as x but with length of 1.
///
@ -85,6 +93,8 @@ namespace glm
genType const & x);
/// If dot(Nref, I) < 0.0, return N, otherwise, return -N.
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/faceforward.xml">GLSL faceforward man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
@ -96,6 +106,8 @@ namespace glm
/// For the incident vector I and surface orientation N,
/// returns the reflection direction : result = I - 2.0 * dot(N, I) * N.
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/reflect.xml">GLSL reflect man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>
@ -107,6 +119,8 @@ namespace glm
/// For the incident vector I and surface normal N,
/// and the ratio of indices of refraction eta,
/// return the refraction vector.
///
/// @tparam genType Floating-point vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/refract.xml">GLSL refract man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.5</a>

2
glm/core/func_geometric.inl
View file

@ -26,6 +26,8 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "_vectorize.hpp"
namespace glm
{
// length

142
glm/core/func_integer.hpp
View file

@ -43,10 +43,12 @@ namespace glm
/// @addtogroup core_func_integer
/// @{
//! Adds 32-bit unsigned integer x and y, returning the sum
//! modulo pow(2, 32). The value carry is set to 0 if the sum was
//! less than pow(2, 32), or to 1 otherwise.
//!
/// Adds 32-bit unsigned integer x and y, returning the sum
/// modulo pow(2, 32). The value carry is set to 0 if the sum was
/// less than pow(2, 32), or to 1 otherwise.
///
/// @tparam genUType Unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uaddCarry.xml">GLSL uaddCarry man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genUType>
@ -55,10 +57,12 @@ namespace glm
genUType const & y,
genUType & carry);
//! Subtracts the 32-bit unsigned integer y from x, returning
//! the difference if non-negative, or pow(2, 32) plus the difference
//! otherwise. The value borrow is set to 0 if x >= y, or to 1 otherwise.
//!
/// Subtracts the 32-bit unsigned integer y from x, returning
/// the difference if non-negative, or pow(2, 32) plus the difference
/// otherwise. The value borrow is set to 0 if x >= y, or to 1 otherwise.
///
/// @tparam genUType Unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/usubBorrow.xml">GLSL usubBorrow man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genUType>
@ -67,10 +71,12 @@ namespace glm
genUType const & y,
genUType & borrow);
//! Multiplies 32-bit integers x and y, producing a 64-bit
//! result. The 32 least-significant bits are returned in lsb.
//! The 32 most-significant bits are returned in msb.
//!
/// Multiplies 32-bit integers x and y, producing a 64-bit
/// result. The 32 least-significant bits are returned in lsb.
/// The 32 most-significant bits are returned in msb.
///
/// @tparam genUType Unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/umulExtended.xml">GLSL umulExtended man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genUType>
@ -80,10 +86,12 @@ namespace glm
genUType & msb,
genUType & lsb);
//! Multiplies 32-bit integers x and y, producing a 64-bit
//! result. The 32 least-significant bits are returned in lsb.
//! The 32 most-significant bits are returned in msb.
//!
/// Multiplies 32-bit integers x and y, producing a 64-bit
/// result. The 32 least-significant bits are returned in lsb.
/// The 32 most-significant bits are returned in msb.
///
/// @tparam genIType Signed integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/imulExtended.xml">GLSL imulExtended man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genIType>
@ -93,17 +101,19 @@ namespace glm
genIType & msb,
genIType & lsb);
//! Extracts bits [offset, offset + bits - 1] from value,
//! returning them in the least significant bits of the result.
//! For unsigned data types, the most significant bits of the
//! result will be set to zero. For signed data types, the
//! most significant bits will be set to the value of bit offset + base – 1.
//!
//! If bits is zero, the result will be zero. The result will be
//! undefined if offset or bits is negative, or if the sum of
//! offset and bits is greater than the number of bits used
//! to store the operand.
//!
/// Extracts bits [offset, offset + bits - 1] from value,
/// returning them in the least significant bits of the result.
/// For unsigned data types, the most significant bits of the
/// result will be set to zero. For signed data types, the
/// most significant bits will be set to the value of bit offset + base – 1.
///
/// If bits is zero, the result will be zero. The result will be
/// undefined if offset or bits is negative, or if the sum of
/// offset and bits is greater than the number of bits used
/// to store the operand.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldExtract.xml">GLSL bitfieldExtract man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genIUType>
@ -112,16 +122,18 @@ namespace glm
int const & Offset,
int const & Bits);
//! Returns the insertion the bits least-significant bits of insert into base.
//!
//! The result will have bits [offset, offset + bits - 1] taken
//! from bits [0, bits – 1] of insert, and all other bits taken
//! directly from the corresponding bits of base. If bits is
//! zero, the result will simply be base. The result will be
//! undefined if offset or bits is negative, or if the sum of
//! offset and bits is greater than the number of bits used to
//! store the operand.
//!
/// Returns the insertion the bits least-significant bits of insert into base.
///
/// The result will have bits [offset, offset + bits - 1] taken
/// from bits [0, bits – 1] of insert, and all other bits taken
/// directly from the corresponding bits of base. If bits is
/// zero, the result will simply be base. The result will be
/// undefined if offset or bits is negative, or if the sum of
/// offset and bits is greater than the number of bits used to
/// store the operand.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldInsert.xml">GLSL bitfieldInsert man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genIUType>
@ -131,40 +143,54 @@ namespace glm
int const & Offset,
int const & Bits);
//! Returns the reversal of the bits of value.
//! The bit numbered n of the result will be taken from bit (bits - 1) - n of value,
//! where bits is the total number of bits used to represent value.
//!
/// Returns the reversal of the bits of value.
/// The bit numbered n of the result will be taken from bit (bits - 1) - n of value,
/// where bits is the total number of bits used to represent value.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitfieldReverse.xml">GLSL bitfieldReverse man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename genIUType>
genIUType bitfieldReverse(genIUType const & value);
//! Returns the number of bits set to 1 in the binary representation of value.
//!
/// Returns the number of bits set to 1 in the binary representation of value.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/bitCount.xml">GLSL bitCount man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename T, template <typename> class C>
typename C<T>::signed_type bitCount(C<T> const & Value);
///
/// @todo Clarify the declaration to specify that scalars are suported.
template <typename T, template <typename> class genIUType>
typename genIUType<T>::signed_type bitCount(genIUType<T> const & Value);
//! Returns the bit number of the least significant bit set to
//! 1 in the binary representation of value.
//! If value is zero, -1 will be returned.
//!
/// Returns the bit number of the least significant bit set to
/// 1 in the binary representation of value.
/// If value is zero, -1 will be returned.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/findLSB.xml">GLSL findLSB man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename T, template <typename> class C>
typename C<T>::signed_type findLSB(C<T> const & Value);
///
/// @todo Clarify the declaration to specify that scalars are suported.
template <typename T, template <typename> class genIUType>
typename genIUType<T>::signed_type findLSB(genIUType<T> const & Value);
//! Returns the bit number of the most significant bit in the binary representation of value.
//! For positive integers, the result will be the bit number of the most significant bit set to 1.
//! For negative integers, the result will be the bit number of the most significant
//! bit set to 0. For a value of zero or negative one, -1 will be returned.
//!
/// Returns the bit number of the most significant bit in the binary representation of value.
/// For positive integers, the result will be the bit number of the most significant bit set to 1.
/// For negative integers, the result will be the bit number of the most significant
/// bit set to 0. For a value of zero or negative one, -1 will be returned.
///
/// @tparam genIUType Signed or unsigned integer scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/findMSB.xml">GLSL findMSB man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.8</a>
template <typename T, template <typename> class C>
typename C<T>::signed_type findMSB(C<T> const & Value);
///
/// @todo Clarify the declaration to specify that scalars are suported.
template <typename T, template <typename> class genIUType>
typename genIUType<T>::signed_type findMSB(genIUType<T> const & Value);
/// @}
}//namespace glm

37
glm/core/func_integer.inl
View file

@ -26,6 +26,7 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "_vectorize.hpp"
#if(GLM_COMPILER & GLM_COMPILER_VC)
#include <intrin.h>
#pragma intrinsic(_BitScanReverse)
@ -415,41 +416,7 @@ namespace glm
return Out;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> bitfieldReverse
(
detail::tvec2<T> const & value
)
{
return detail::tvec2<T>(
bitfieldReverse(value[0]),
bitfieldReverse(value[1]));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> bitfieldReverse
(
detail::tvec3<T> const & value
)
{
return detail::tvec3<T>(
bitfieldReverse(value[0]),
bitfieldReverse(value[1]),
bitfieldReverse(value[2]));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> bitfieldReverse
(
detail::tvec4<T> const & value
)
{
return detail::tvec4<T>(
bitfieldReverse(value[0]),
bitfieldReverse(value[1]),
bitfieldReverse(value[2]),
bitfieldReverse(value[3]));
}
VECTORIZE_VEC(bitfieldReverse)
// bitCount
template <typename genIUType>

56
glm/core/func_matrix.hpp
View file

@ -47,6 +47,8 @@ namespace glm
/// Multiply matrix x by matrix y component-wise, i.e.,
/// result[i][j] is the scalar product of x[i][j] and y[i][j].
///
/// @tparam matType Floating-point matrix types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/matrixCompMult.xml">GLSL matrixCompMult man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
@ -58,15 +60,21 @@ namespace glm
/// Treats the first parameter c as a column vector
/// and the second parameter r as a row vector
/// and does a linear algebraic matrix multiply c * r.
///
/// @tparam matType Floating-point matrix types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/outerProduct.xml">GLSL outerProduct man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
///
/// @todo Clarify the declaration to specify that matType doesn't have to be provided when used.
template <typename vecType, typename matType>
matType outerProduct(
vecType const & c,
vecType const & r);
/// Returns the transposed matrix of x
///
/// @tparam matType Floating-point matrix types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/transpose.xml">GLSL transpose man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
@ -75,52 +83,64 @@ namespace glm
matType const & x);
/// Return the determinant of a mat2 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
typename detail::tmat2x2<T>::value_type determinant(
detail::tmat2x2<T> const & m);
template <typename valType>
typename detail::tmat2x2<valType>::value_type determinant(
detail::tmat2x2<valType> const & m);
/// Return the determinant of a mat3 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
typename detail::tmat3x3<T>::value_type determinant(
detail::tmat3x3<T> const & m);
template <typename valType>
typename detail::tmat3x3<valType>::value_type determinant(
detail::tmat3x3<valType> const & m);
/// Return the determinant of a mat4 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/determinant.xml">GLSL determinant man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
typename detail::tmat4x4<T>::value_type determinant(
detail::tmat4x4<T> const & m);
template <typename valType>
typename detail::tmat4x4<valType>::value_type determinant(
detail::tmat4x4<valType> const & m);
/// Return the inverse of a mat2 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
detail::tmat2x2<T> inverse(
detail::tmat2x2<T> const & m);
template <typename valType>
detail::tmat2x2<valType> inverse(
detail::tmat2x2<valType> const & m);
/// Return the inverse of a mat3 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
detail::tmat3x3<T> inverse(
detail::tmat3x3<T> const & m);
template <typename valType>
detail::tmat3x3<valType> inverse(
detail::tmat3x3<valType> const & m);
/// Return the inverse of a mat4 matrix.
///
/// @tparam valType Floating-point scalar types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inverse.xml">GLSL inverse man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.6</a>
template <typename T>
detail::tmat4x4<T> inverse(
detail::tmat4x4<T> const & m);
template <typename valType>
detail::tmat4x4<valType> inverse(
detail::tmat4x4<valType> const & m);
/// @}
}//namespace glm

2
glm/core/func_matrix.inl
View file

@ -26,6 +26,8 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "_vectorize.hpp"
namespace glm
{
// matrixCompMult

8
glm/core/func_noise.hpp
View file

@ -44,6 +44,8 @@ namespace glm
/// @{
/// Returns a 1D noise value based on the input value x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/noise1.xml">GLSL noise1 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.13</a>
@ -51,6 +53,8 @@ namespace glm
typename genType::value_type noise1(genType const & x);
/// Returns a 2D noise value based on the input value x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/noise2.xml">GLSL noise2 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.13</a>
@ -58,6 +62,8 @@ namespace glm
detail::tvec2<typename genType::value_type> noise2(genType const & x);
/// Returns a 3D noise value based on the input value x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/noise3.xml">GLSL noise3 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.13</a>
@ -65,6 +71,8 @@ namespace glm
detail::tvec3<typename genType::value_type> noise3(genType const & x);
/// Returns a 4D noise value based on the input value x.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/noise4.xml">GLSL noise4 man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.13</a>

225
glm/core/func_packing.inl
View file

@ -26,134 +26,133 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
GLM_FUNC_QUALIFIER detail::uint32 packUnorm2x16(detail::tvec2<detail::float32> const & v)
namespace glm
{
detail::uint16 A(detail::uint16(round(clamp(v.x, 0.0f, 1.0f) * 65535.0f)));
detail::uint16 B(detail::uint16(round(clamp(v.y, 0.0f, 1.0f) * 65535.0f)));
return detail::uint32((B << 16) | A);
}
GLM_FUNC_QUALIFIER detail::tvec2<detail::float32> unpackUnorm2x16(detail::uint32 const & p)
{
detail::uint32 Mask16((1 << 16) - 1);
detail::uint32 A((p >> 0) & Mask16);
detail::uint32 B((p >> 16) & Mask16);
return detail::tvec2<detail::float32>(
A * 1.0f / 65535.0f,
B * 1.0f / 65535.0f);
}
GLM_FUNC_QUALIFIER detail::uint32 packSnorm2x16(detail::tvec2<detail::float32> const & v)
{
union iu
GLM_FUNC_QUALIFIER detail::uint32 packUnorm2x16(detail::tvec2<detail::float32> const & v)
{
detail::int16 i;
detail::uint16 u;
} A, B;
detail::uint16 A(detail::uint16(round(clamp(v.x, 0.0f, 1.0f) * 65535.0f)));
detail::uint16 B(detail::uint16(round(clamp(v.y, 0.0f, 1.0f) * 65535.0f)));
return detail::uint32((B << 16) | A);
}
GLM_FUNC_QUALIFIER detail::tvec2<detail::float32> unpackUnorm2x16(detail::uint32 const & p)
{
detail::uint32 Mask16((1 << 16) - 1);
detail::uint32 A((p >> 0) & Mask16);
detail::uint32 B((p >> 16) & Mask16);
return detail::tvec2<detail::float32>(
A * 1.0f / 65535.0f,
B * 1.0f / 65535.0f);
}
GLM_FUNC_QUALIFIER detail::uint32 packSnorm2x16(detail::tvec2<detail::float32> const & v)
{
union iu
{
detail::int16 i;
detail::uint16 u;
} A, B;
detail::tvec2<detail::float32> Unpack = clamp(v ,-1.0f, 1.0f) * 32767.0f;
A.i = detail::int16(round(Unpack.x));
B.i = detail::int16(round(Unpack.y));
detail::uint32 Pack = (detail::uint32(B.u) << 16) | (detail::uint32(A.u) << 0);
return Pack;
}
detail::tvec2<detail::float32> Unpack = clamp(v ,-1.0f, 1.0f) * 32767.0f;
A.i = detail::int16(round(Unpack.x));
B.i = detail::int16(round(Unpack.y));
detail::uint32 Pack = (detail::uint32(B.u) << 16) | (detail::uint32(A.u) << 0);
return Pack;
}
GLM_FUNC_QUALIFIER detail::tvec2<detail::float32> unpackSnorm2x16(detail::uint32 const & p)
{
union iu
GLM_FUNC_QUALIFIER detail::tvec2<detail::float32> unpackSnorm2x16(detail::uint32 const & p)
{
detail::int16 i;
detail::uint16 u;
} A, B;
union iu
{
detail::int16 i;
detail::uint16 u;
} A, B;
detail::uint32 Mask16((1 << 16) - 1);
A.u = detail::uint16((p >> 0) & Mask16);
B.u = detail::uint16((p >> 16) & Mask16);
detail::tvec2<detail::float32> Pack(A.i, B.i);
detail::uint32 Mask16((1 << 16) - 1);
A.u = detail::uint16((p >> 0) & Mask16);
B.u = detail::uint16((p >> 16) & Mask16);
detail::tvec2<detail::float32> Pack(A.i, B.i);
return clamp(Pack * 1.0f / 32767.0f, -1.0f, 1.0f);
}
return clamp(Pack * 1.0f / 32767.0f, -1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER detail::uint32 packUnorm4x8(detail::tvec4<detail::float32> const & v)
{
detail::uint8 A((detail::uint8)round(clamp(v.x, 0.0f, 1.0f) * 255.0f));
detail::uint8 B((detail::uint8)round(clamp(v.y, 0.0f, 1.0f) * 255.0f));
detail::uint8 C((detail::uint8)round(clamp(v.z, 0.0f, 1.0f) * 255.0f));
detail::uint8 D((detail::uint8)round(clamp(v.w, 0.0f, 1.0f) * 255.0f));
return detail::uint32((D << 24) | (C << 16) | (B << 8) | A);
}
GLM_FUNC_QUALIFIER detail::tvec4<detail::float32> unpackUnorm4x8(detail::uint32 const & p)
{
detail::uint32 Mask8((1 << 8) - 1);
detail::uint32 A((p >> 0) & Mask8);
detail::uint32 B((p >> 8) & Mask8);
detail::uint32 C((p >> 16) & Mask8);
detail::uint32 D((p >> 24) & Mask8);
return detail::tvec4<detail::float32>(
A * 1.0f / 255.0f,
B * 1.0f / 255.0f,
C * 1.0f / 255.0f,
D * 1.0f / 255.0f);
}
GLM_FUNC_QUALIFIER detail::uint32 packSnorm4x8(detail::tvec4<detail::float32> const & v)
{
union iu
GLM_FUNC_QUALIFIER detail::uint32 packUnorm4x8(detail::tvec4<detail::float32> const & v)
{
detail::int8 i;
detail::uint8 u;
} A, B, C, D;
detail::uint8 A((detail::uint8)round(clamp(v.x, 0.0f, 1.0f) * 255.0f));
detail::uint8 B((detail::uint8)round(clamp(v.y, 0.0f, 1.0f) * 255.0f));
detail::uint8 C((detail::uint8)round(clamp(v.z, 0.0f, 1.0f) * 255.0f));
detail::uint8 D((detail::uint8)round(clamp(v.w, 0.0f, 1.0f) * 255.0f));
return detail::uint32((D << 24) | (C << 16) | (B << 8) | A);
}
GLM_FUNC_QUALIFIER detail::tvec4<detail::float32> unpackUnorm4x8(detail::uint32 const & p)
{
detail::uint32 Mask8((1 << 8) - 1);
detail::uint32 A((p >> 0) & Mask8);
detail::uint32 B((p >> 8) & Mask8);
detail::uint32 C((p >> 16) & Mask8);
detail::uint32 D((p >> 24) & Mask8);
return detail::tvec4<detail::float32>(
A * 1.0f / 255.0f,
B * 1.0f / 255.0f,
C * 1.0f / 255.0f,
D * 1.0f / 255.0f);
}
detail::tvec4<detail::float32> Unpack = clamp(v ,-1.0f, 1.0f) * 127.0f;
A.i = detail::int8(round(Unpack.x));
B.i = detail::int8(round(Unpack.y));
C.i = detail::int8(round(Unpack.z));
D.i = detail::int8(round(Unpack.w));
detail::uint32 Pack = (detail::uint32(D.u) << 24) | (detail::uint32(C.u) << 16) | (detail::uint32(B.u) << 8) | (detail::uint32(A.u) << 0);
return Pack;
}
GLM_FUNC_QUALIFIER detail::tvec4<detail::float32> unpackSnorm4x8(detail::uint32 const & p)
{
union iu
GLM_FUNC_QUALIFIER detail::uint32 packSnorm4x8(detail::tvec4<detail::float32> const & v)
{
detail::int8 i;
detail::uint8 u;
} A, B, C, D;
union iu
{
detail::int8 i;
detail::uint8 u;
} A, B, C, D;
detail::uint32 Mask8((1 << 8) - 1);
A.u = detail::uint8((p >> 0) & Mask8);
B.u = detail::uint8((p >> 8) & Mask8);
C.u = detail::uint8((p >> 16) & Mask8);
D.u = detail::uint8((p >> 24) & Mask8);
detail::tvec4<detail::float32> Pack(A.i, B.i, C.i, D.i);
detail::tvec4<detail::float32> Unpack = clamp(v ,-1.0f, 1.0f) * 127.0f;
A.i = detail::int8(round(Unpack.x));
B.i = detail::int8(round(Unpack.y));
C.i = detail::int8(round(Unpack.z));
D.i = detail::int8(round(Unpack.w));
detail::uint32 Pack = (detail::uint32(D.u) << 24) | (detail::uint32(C.u) << 16) | (detail::uint32(B.u) << 8) | (detail::uint32(A.u) << 0);
return Pack;
}
return clamp(Pack * 1.0f / 127.0f, -1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER detail::tvec4<detail::float32> unpackSnorm4x8(detail::uint32 const & p)
{
union iu
{
detail::int8 i;
detail::uint8 u;
} A, B, C, D;
detail::uint32 Mask8((1 << 8) - 1);
A.u = detail::uint8((p >> 0) & Mask8);
B.u = detail::uint8((p >> 8) & Mask8);
C.u = detail::uint8((p >> 16) & Mask8);
D.u = detail::uint8((p >> 24) & Mask8);
detail::tvec4<detail::float32> Pack(A.i, B.i, C.i, D.i);
return clamp(Pack * 1.0f / 127.0f, -1.0f, 1.0f);
}
GLM_FUNC_QUALIFIER double packDouble2x32(detail::tvec2<detail::uint32> const & v)
{
return *(double*)&v;
}
GLM_FUNC_QUALIFIER double packDouble2x32(detail::tvec2<detail::uint32> const & v)
{
return *(double*)&v;
}
GLM_FUNC_QUALIFIER detail::tvec2<uint> unpackDouble2x32(double const & v)
{
return *(detail::tvec2<uint>*)&v;
}
GLM_FUNC_QUALIFIER detail::tvec2<uint> unpackDouble2x32(double const & v)
{
return *(detail::tvec2<uint>*)&v;
}
GLM_FUNC_QUALIFIER uint packHalf2x16(detail::tvec2<float> const & v)
{
detail::tvec2<detail::hdata> Pack(detail::toFloat16(v.x), detail::toFloat16(v.y));
return *(uint*)&Pack;
}
GLM_FUNC_QUALIFIER vec2 unpackHalf2x16(uint const & v)
{
detail::tvec2<detail::hdata> Unpack = *(detail::tvec2<detail::hdata>*)&v;
return vec2(detail::toFloat32(Unpack.x), detail::toFloat32(Unpack.y));
}
GLM_FUNC_QUALIFIER uint packHalf2x16(detail::tvec2<float> const & v)
{
detail::tvec2<detail::hdata> Pack(detail::toFloat16(v.x), detail::toFloat16(v.y));
return *(uint*)&Pack;
}
GLM_FUNC_QUALIFIER vec2 unpackHalf2x16(uint const & v)
{
detail::tvec2<detail::hdata> Unpack = *(detail::tvec2<detail::hdata>*)&v;
return vec2(detail::toFloat32(Unpack.x), detail::toFloat32(Unpack.y));
}
}//namespace glm

116
glm/core/func_trigonometric.hpp
View file

@ -45,119 +45,149 @@ namespace glm
/// @addtogroup core_func_trigonometric
/// @{
//! Converts degrees to radians and returns the result.
//!
/// Converts degrees to radians and returns the result.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType radians(genType const & degrees);
//! Converts radians to degrees and returns the result.
//!
/// Converts radians to degrees and returns the result.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType degrees(genType const & radians);
//! The standard trigonometric sine function.
//! The values returned by this function will range from [-1, 1].
//!
/// The standard trigonometric sine function.
/// The values returned by this function will range from [-1, 1].
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType sin(genType const & angle);
//! The standard trigonometric cosine function.
//! The values returned by this function will range from [-1, 1].
//!
/// The standard trigonometric cosine function.
/// The values returned by this function will range from [-1, 1].
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType cos(genType const & angle);
//! The standard trigonometric tangent function.
//!
/// The standard trigonometric tangent function.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType tan(genType const & angle);
//! Arc sine. Returns an angle whose sine is x.
//! The range of values returned by this function is [-PI/2, PI/2].
//! Results are undefined if |x| > 1.
//!
/// Arc sine. Returns an angle whose sine is x.
/// The range of values returned by this function is [-PI/2, PI/2].
/// Results are undefined if |x| > 1.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType asin(genType const & x);
//! Arc cosine. Returns an angle whose sine is x.
//! The range of values returned by this function is [0, PI].
//! Results are undefined if |x| > 1.
//!
/// Arc cosine. Returns an angle whose sine is x.
/// The range of values returned by this function is [0, PI].
/// Results are undefined if |x| > 1.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType acos(genType const & x);
//! Arc tangent. Returns an angle whose tangent is y/x.
//! The signs of x and y are used to determine what
//! quadrant the angle is in. The range of values returned
//! by this function is [-PI, PI]. Results are undefined
//! if x and y are both 0.
//!
/// Arc tangent. Returns an angle whose tangent is y/x.
/// The signs of x and y are used to determine what
/// quadrant the angle is in. The range of values returned
/// by this function is [-PI, PI]. Results are undefined
/// if x and y are both 0.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType atan(genType const & y, genType const & x);
//! Arc tangent. Returns an angle whose tangent is y_over_x.
//! The range of values returned by this function is [-PI/2, PI/2].
//!
/// Arc tangent. Returns an angle whose tangent is y_over_x.
/// The range of values returned by this function is [-PI/2, PI/2].
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType atan(genType const & y_over_x);
//! Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2
//!
/// Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType sinh(genType const & angle);
//! Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2
//!
/// Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType cosh(genType const & angle);
//! Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)
//!
/// Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType tanh(genType const & angle);
//! Arc hyperbolic sine; returns the inverse of sinh.
//!
/// Arc hyperbolic sine; returns the inverse of sinh.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType asinh(genType const & x);
//! Arc hyperbolic cosine; returns the non-negative inverse
//! of cosh. Results are undefined if x < 1.
//!
/// Arc hyperbolic cosine; returns the non-negative inverse
/// of cosh. Results are undefined if x < 1.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>
genType acosh(genType const & x);
//! Arc hyperbolic tangent; returns the inverse of tanh.
//! Results are undefined if abs(x) >= 1.
//!
/// Arc hyperbolic tangent; returns the inverse of tanh.
/// Results are undefined if abs(x) >= 1.
///
/// @tparam genType Floating-point scalar or vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1</a>
template <typename genType>

853
glm/core/func_trigonometric.inl
View file

@ -26,732 +26,221 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "_vectorize.hpp"
// radians
template <typename genType>
GLM_FUNC_QUALIFIER genType radians
(
genType const & degrees
)
namespace glm
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'radians' only accept floating-point input");
// radians
template <typename genType>
GLM_FUNC_QUALIFIER genType radians
(
genType const & degrees
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'radians' only accept floating-point input");
const genType pi = genType(3.1415926535897932384626433832795);
return degrees * (pi / genType(180));
}
genType const pi = genType(3.1415926535897932384626433832795);
return degrees * (pi / genType(180));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> radians
(
detail::tvec2<T> const & degrees
)
{
return detail::tvec2<T>(
radians(degrees.x),
radians(degrees.y));
}
VECTORIZE_VEC(radians)
// degrees
template <typename genType>
GLM_FUNC_QUALIFIER genType degrees
(
genType const & radians
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'degrees' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> radians
(
detail::tvec3<T> const & degrees
)
{
return detail::tvec3<T>(
radians(degrees.x),
radians(degrees.y),
radians(degrees.z));
}
const genType pi = genType(3.1415926535897932384626433832795);
return radians * (genType(180) / pi);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> radians
(
detail::tvec4<T> const & degrees
)
{
return detail::tvec4<T>(
radians(degrees.x),
radians(degrees.y),
radians(degrees.z),
radians(degrees.w));
}
VECTORIZE_VEC(degrees)
// degrees
template <typename genType>
GLM_FUNC_QUALIFIER genType degrees
(
genType const & radians
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'degrees' only accept floating-point input");
// sin
template <typename genType>
GLM_FUNC_QUALIFIER genType sin
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sin' only accept floating-point input");
const genType pi = genType(3.1415926535897932384626433832795);
return radians * (genType(180) / pi);
}
return ::std::sin(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> degrees
(
detail::tvec2<T> const & radians
)
{
return detail::tvec2<T>(
degrees(radians.x),
degrees(radians.y));
}
VECTORIZE_VEC(sin)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> degrees
(
detail::tvec3<T> const & radians
)
{
return detail::tvec3<T>(
degrees(radians.x),
degrees(radians.y),
degrees(radians.z));
}
// cos
template <typename genType>
GLM_FUNC_QUALIFIER genType cos(genType const & angle)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cos' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> degrees
(
detail::tvec4<T> const & radians
)
{
return detail::tvec4<T>(
degrees(radians.x),
degrees(radians.y),
degrees(radians.z),
degrees(radians.w));
}
return ::std::cos(angle);
}
// sin
template <typename genType>
GLM_FUNC_QUALIFIER genType sin
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sin' only accept floating-point input");
VECTORIZE_VEC(cos)
return ::std::sin(angle);
}
// tan
template <typename genType>
GLM_FUNC_QUALIFIER genType tan
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tan' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> sin
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
sin(angle.x),
sin(angle.y));
}
return ::std::tan(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> sin
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
sin(angle.x),
sin(angle.y),
sin(angle.z));
}
VECTORIZE_VEC(tan)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> sin
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
sin(angle.x),
sin(angle.y),
sin(angle.z),
sin(angle.w));
}
// asin
template <typename genType>
GLM_FUNC_QUALIFIER genType asin
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asin' only accept floating-point input");
// cos
template <typename genType>
GLM_FUNC_QUALIFIER genType cos(genType const & angle)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cos' only accept floating-point input");
return ::std::asin(x);
}
return ::std::cos(angle);
}
VECTORIZE_VEC(asin)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> cos
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
cos(angle.x),
cos(angle.y));
}
// acos
template <typename genType>
GLM_FUNC_QUALIFIER genType acos
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acos' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> cos
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
cos(angle.x),
cos(angle.y),
cos(angle.z));
}
return ::std::acos(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> cos
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
cos(angle.x),
cos(angle.y),
cos(angle.z),
cos(angle.w));
}
VECTORIZE_VEC(acos)
// tan
template <typename genType>
GLM_FUNC_QUALIFIER genType tan
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tan' only accept floating-point input");
// atan
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & y,
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
return ::std::tan(angle);
}
return ::std::atan2(y, x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> tan
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
tan(angle.x),
tan(angle.y));
}
VECTORIZE_VEC_VEC(atan)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> tan
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
tan(angle.x),
tan(angle.y),
tan(angle.z));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> tan
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
tan(angle.x),
tan(angle.y),
tan(angle.z),
tan(angle.w));
}
return ::std::atan(x);
}
// asin
template <typename genType>
GLM_FUNC_QUALIFIER genType asin
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asin' only accept floating-point input");
VECTORIZE_VEC(atan)
return ::std::asin(x);
}
// sinh
template <typename genType>
GLM_FUNC_QUALIFIER genType sinh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sinh' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> asin
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
asin(x.x),
asin(x.y));
}
return std::sinh(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> asin
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
asin(x.x),
asin(x.y),
asin(x.z));
}
VECTORIZE_VEC(sinh)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> asin
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
asin(x.x),
asin(x.y),
asin(x.z),
asin(x.w));
}
// cosh
template <typename genType>
GLM_FUNC_QUALIFIER genType cosh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cosh' only accept floating-point input");
// acos
template <typename genType>
GLM_FUNC_QUALIFIER genType acos
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acos' only accept floating-point input");
return std::cosh(angle);
}
return ::std::acos(x);
}
VECTORIZE_VEC(cosh)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> acos
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
acos(x.x),
acos(x.y));
}
// tanh
template <typename genType>
GLM_FUNC_QUALIFIER genType tanh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tanh' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> acos
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
acos(x.x),
acos(x.y),
acos(x.z));
}
return std::tanh(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> acos
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
acos(x.x),
acos(x.y),
acos(x.z),
acos(x.w));
}
VECTORIZE_VEC(tanh)
// atan
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & y,
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
return ::std::atan2(y, x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> atan
(
detail::tvec2<T> const & y,
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
atan(y.x, x.x),
atan(y.y, x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> atan
(
detail::tvec3<T> const & y,
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
atan(y.x, x.x),
atan(y.y, x.y),
atan(y.z, x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> atan
(
detail::tvec4<T> const & y,
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
atan(y.x, x.x),
atan(y.y, x.y),
atan(y.z, x.z),
atan(y.w, x.w));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType atan
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atan' only accept floating-point input");
return ::std::atan(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> atan
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
atan(x.x),
atan(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> atan
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
atan(x.x),
atan(x.y),
atan(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> atan
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
atan(x.x),
atan(x.y),
atan(x.z),
atan(x.w));
}
// sinh
template <typename genType>
GLM_FUNC_QUALIFIER genType sinh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sinh' only accept floating-point input");
return std::sinh(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> sinh
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
sinh(angle.x),
sinh(angle.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> sinh
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
sinh(angle.x),
sinh(angle.y),
sinh(angle.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> sinh
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
sinh(angle.x),
sinh(angle.y),
sinh(angle.z),
sinh(angle.w));
}
// cosh
template <typename genType>
GLM_FUNC_QUALIFIER genType cosh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cosh' only accept floating-point input");
return std::cosh(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> cosh
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
cosh(angle.x),
cosh(angle.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> cosh
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
cosh(angle.x),
cosh(angle.y),
cosh(angle.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> cosh
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
cosh(angle.x),
cosh(angle.y),
cosh(angle.z),
cosh(angle.w));
}
// tanh
template <typename genType>
GLM_FUNC_QUALIFIER genType tanh
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'tanh' only accept floating-point input");
return std::tanh(angle);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> tanh
(
detail::tvec2<T> const & angle
)
{
return detail::tvec2<T>(
tanh(angle.x),
tanh(angle.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> tanh
(
detail::tvec3<T> const & angle
)
{
return detail::tvec3<T>(
tanh(angle.x),
tanh(angle.y),
tanh(angle.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> tanh
(
detail::tvec4<T> const & angle
)
{
return detail::tvec4<T>(
tanh(angle.x),
tanh(angle.y),
tanh(angle.z),
tanh(angle.w));
}
// asinh
template <typename genType>
GLM_FUNC_QUALIFIER genType asinh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asinh' only accept floating-point input");
// asinh
template <typename genType>
GLM_FUNC_QUALIFIER genType asinh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asinh' only accept floating-point input");
return (x < genType(0) ? genType(-1) : (x > genType(0) ? genType(1) : genType(0))) * log(abs(x) + sqrt(genType(1) + x * x));
}
return (x < genType(0) ? genType(-1) : (x > genType(0) ? genType(1) : genType(0))) * log(abs(x) + sqrt(genType(1) + x * x));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> asinh
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
asinh(x.x),
asinh(x.y));
}
VECTORIZE_VEC(asinh)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> asinh
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
asinh(x.x),
asinh(x.y),
asinh(x.z));
}
// acosh
template <typename genType>
GLM_FUNC_QUALIFIER genType acosh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acosh' only accept floating-point input");
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> asinh
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
asinh(x.x),
asinh(x.y),
asinh(x.z),
asinh(x.w));
}
if(x < genType(1))
return genType(0);
return log(x + sqrt(x * x - genType(1)));
}
// acosh
template <typename genType>
GLM_FUNC_QUALIFIER genType acosh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acosh' only accept floating-point input");
VECTORIZE_VEC(acosh)
if(x < genType(1))
return genType(0);
return log(x + sqrt(x * x - genType(1)));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> acosh
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
acosh(x.x),
acosh(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> acosh
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
acosh(x.x),
acosh(x.y),
acosh(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> acosh
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
acosh(x.x),
acosh(x.y),
acosh(x.z),
acosh(x.w));
}
// atanh
template <typename genType>
GLM_FUNC_QUALIFIER genType atanh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atanh' only accept floating-point input");
// atanh
template <typename genType>
GLM_FUNC_QUALIFIER genType atanh
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'atanh' only accept floating-point input");
if(abs(x) >= genType(1))
return 0;
return genType(0.5) * log((genType(1) + x) / (genType(1) - x));
}
if(abs(x) >= genType(1))
return 0;
return genType(0.5) * log((genType(1) + x) / (genType(1) - x));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> atanh
(
detail::tvec2<T> const & x
)
{
return detail::tvec2<T>(
atanh(x.x),
atanh(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> atanh
(
detail::tvec3<T> const & x
)
{
return detail::tvec3<T>(
atanh(x.x),
atanh(x.y),
atanh(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> atanh
(
detail::tvec4<T> const & x
)
{
return detail::tvec4<T>(
atanh(x.x),
atanh(x.y),
atanh(x.z),
atanh(x.w));
}
VECTORIZE_VEC(atanh)
}//namespace glm

64
glm/core/func_vector_relational.hpp
View file

@ -48,65 +48,83 @@ namespace glm
/// @addtogroup core_func_vector_relational
/// @{
//! Returns the component-wise comparison result of x < y.
//!
/// Returns the component-wise comparison result of x < y.
///
/// @tparam vecType Floating-point or integer vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/lessThan.xml">GLSL lessThan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
//template <typename T, template <typename> class vecType>
//GLM_FUNC_QUALIFIER typename vecType<T>::bool_type lessThan(vecType<T> const & x, vecType<T> const & y);
template <typename vecType>
GLM_FUNC_QUALIFIER typename vecType::bool_type lessThan(vecType const & x, vecType const & y);
//! Returns the component-wise comparison of result x <= y.
//!
/// Returns the component-wise comparison of result x <= y.
///
/// @tparam vecType Floating-point or integer vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/lessThanEqual.xml">GLSL lessThanEqual man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER typename vecType<T>::bool_type lessThanEqual(vecType<T> const & x, vecType<T> const & y);
//! Returns the component-wise comparison of result x > y.
//!
/// Returns the component-wise comparison of result x > y.
///
/// @tparam vecType Floating-point or integer vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/greaterThan.xml">GLSL greaterThan man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER typename vecType<T>::bool_type greaterThan(vecType<T> const & x, vecType<T> const & y);
//! Returns the component-wise comparison of result x >= y.
//!
/// Returns the component-wise comparison of result x >= y.
///
/// @tparam vecType Floating-point or integer vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/greaterThanEqual.xml">GLSL greaterThanEqual man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <typename T, template <typename> class vecType>
typename vecType<T>::bool_type greaterThanEqual(vecType<T> const & x, vecType<T> const & y);
//! Returns the component-wise comparison of result x == y.
//!
/// Returns the component-wise comparison of result x == y.
///
/// @tparam vecType Floating-point, integer or boolean vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/equal.xml">GLSL equal man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
//template <typename T, template <typename> class vecType>
//GLM_FUNC_QUALIFIER typename vecType<T>::bool_type equal(vecType<T> const & x, vecType<T> const & y);
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER typename vecType<T>::bool_type equal(vecType<T> const & x, vecType<T> const & y);
//! Returns the component-wise comparison of result x != y.
//!
/// Returns the component-wise comparison of result x != y.
///
/// @tparam vecType Floating-point, integer or boolean vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/notEqual.xml">GLSL notEqual man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <typename T, template <typename> class vecType>
typename vecType<T>::bool_type notEqual(vecType<T> const & x, vecType<T> const & y);
//! Returns true if any component of x is true.
//!
/// Returns true if any component of x is true.
///
/// @tparam vecType Boolean vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/any.xml">GLSL any man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <template <typename> class vecType>
bool any(vecType<bool> const & v);
//! Returns true if all components of x are true.
//!
/// Returns true if all components of x are true.
///
/// @tparam vecType Boolean vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/all.xml">GLSL all man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <template <typename> class vecType>
bool all(vecType<bool> const & v);
//! Returns the component-wise logical complement of x.
//! /!\ Because of language incompatibilities between C++ and GLSL, GLM defines the function not but not_ instead.
//!
/// Returns the component-wise logical complement of x.
/// /!\ Because of language incompatibilities between C++ and GLSL, GLM defines the function not but not_ instead.
///
/// @tparam vecType Boolean vector types.
///
/// @see - <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/not.xml">GLSL not man page</a>
/// @see - <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.7</a>
template <template <typename> class vecType>

1460
glm/gtc/half_float.inl
View file

File diff suppressed because it is too large Load diff

88
glm/gtc/matrix_access.inl
View file

@ -26,49 +26,55 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER genType row(
genType const & m,
int index,
typename genType::row_type const & x)
namespace glm
{
genType Result = m;
for(typename genType::size_type i = 0; i < genType::row_size(); ++i)
Result[i][index] = x[i];
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType row
(
genType const & m,
int index,
typename genType::row_type const & x
)
{
genType Result = m;
for(typename genType::size_type i = 0; i < genType::row_size(); ++i)
Result[i][index] = x[i];
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::row_type row(
genType const & m,
int index)
{
typename genType::row_type Result;
for(typename genType::size_type i = 0; i < genType::row_size(); ++i)
Result[i] = m[i][index];
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::row_type row
(
genType const & m,
int index
)
{
typename genType::row_type Result;
for(typename genType::size_type i = 0; i < genType::row_size(); ++i)
Result[i] = m[i][index];
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType column(
genType const & m,
int index,
typename genType::col_type const & x)
{
genType Result = m;
Result[index] = x;
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::col_type column(
genType const & m,
int index)
{
return m[index];
}
template <typename genType>
GLM_FUNC_QUALIFIER genType column
(
genType const & m,
int index,
typename genType::col_type const & x
)
{
genType Result = m;
Result[index] = x;
return Result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::col_type column
(
genType const & m,
int index
)
{
return m[index];
}
}//namespace glm

223
glm/gtc/matrix_inverse.inl
View file

@ -26,129 +26,134 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> affineInverse
(
detail::tmat3x3<T> const & m
)
namespace glm
{
detail::tmat3x3<T> Result(m);
Result[2] = detail::tvec3<T>(0, 0, 1);
Result = transpose(Result);
detail::tvec3<T> Translation = Result * detail::tvec3<T>(-detail::tvec2<T>(m[2]), m[2][2]);
Result[2] = Translation;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> affineInverse
(
detail::tmat3x3<T> const & m
)
{
detail::tmat3x3<T> Result(m);
Result[2] = detail::tvec3<T>(0, 0, 1);
Result = transpose(Result);
detail::tvec3<T> Translation = Result * detail::tvec3<T>(-detail::tvec2<T>(m[2]), m[2][2]);
Result[2] = Translation;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> affineInverse
(
detail::tmat4x4<T> const & m
)
{
detail::tmat4x4<T> Result(m);
Result[3] = detail::tvec4<T>(0, 0, 0, 1);
Result = transpose(Result);
detail::tvec4<T> Translation = Result * detail::tvec4<T>(-detail::tvec3<T>(m[3]), m[3][3]);
Result[3] = Translation;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> affineInverse
(
detail::tmat4x4<T> const & m
)
{
detail::tmat4x4<T> Result(m);
Result[3] = detail::tvec4<T>(0, 0, 0, 1);
Result = transpose(Result);
detail::tvec4<T> Translation = Result * detail::tvec4<T>(-detail::tvec3<T>(m[3]), m[3][3]);
Result[3] = Translation;
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> inverseTranspose(
detail::tmat2x2<valType> const & m)
{
valType Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1];
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> inverseTranspose
(
detail::tmat2x2<valType> const & m
)
{
valType Determinant = m[0][0] * m[1][1] - m[1][0] * m[0][1];
detail::tmat2x2<valType> Inverse(
+ m[1][1] / Determinant,
- m[0][1] / Determinant,
- m[1][0] / Determinant,
+ m[0][0] / Determinant);
detail::tmat2x2<valType> Inverse(
+ m[1][1] / Determinant,
- m[0][1] / Determinant,
- m[1][0] / Determinant,
+ m[0][0] / Determinant);
return Inverse;
}
return Inverse;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> inverseTranspose(
detail::tmat3x3<valType> const & m)
{
valType Determinant =
+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1])
- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0])
+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> inverseTranspose
(
detail::tmat3x3<valType> const & m
)
{
valType Determinant =
+ m[0][0] * (m[1][1] * m[2][2] - m[1][2] * m[2][1])
- m[0][1] * (m[1][0] * m[2][2] - m[1][2] * m[2][0])
+ m[0][2] * (m[1][0] * m[2][1] - m[1][1] * m[2][0]);
detail::tmat3x3<valType> Inverse;
Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]);
Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]);
Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]);
Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]);
Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]);
Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]);
Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]);
Inverse /= Determinant;
detail::tmat3x3<valType> Inverse;
Inverse[0][0] = + (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
Inverse[0][1] = - (m[1][0] * m[2][2] - m[2][0] * m[1][2]);
Inverse[0][2] = + (m[1][0] * m[2][1] - m[2][0] * m[1][1]);
Inverse[1][0] = - (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
Inverse[1][1] = + (m[0][0] * m[2][2] - m[2][0] * m[0][2]);
Inverse[1][2] = - (m[0][0] * m[2][1] - m[2][0] * m[0][1]);
Inverse[2][0] = + (m[0][1] * m[1][2] - m[1][1] * m[0][2]);
Inverse[2][1] = - (m[0][0] * m[1][2] - m[1][0] * m[0][2]);
Inverse[2][2] = + (m[0][0] * m[1][1] - m[1][0] * m[0][1]);
Inverse /= Determinant;
return Inverse;
}
return Inverse;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> inverseTranspose(
detail::tmat4x4<valType> const & m)
{
valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
valType SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> inverseTranspose
(
detail::tmat4x4<valType> const & m
)
{
valType SubFactor00 = m[2][2] * m[3][3] - m[3][2] * m[2][3];
valType SubFactor01 = m[2][1] * m[3][3] - m[3][1] * m[2][3];
valType SubFactor02 = m[2][1] * m[3][2] - m[3][1] * m[2][2];
valType SubFactor03 = m[2][0] * m[3][3] - m[3][0] * m[2][3];
valType SubFactor04 = m[2][0] * m[3][2] - m[3][0] * m[2][2];
valType SubFactor05 = m[2][0] * m[3][1] - m[3][0] * m[2][1];
valType SubFactor06 = m[1][2] * m[3][3] - m[3][2] * m[1][3];
valType SubFactor07 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
valType SubFactor08 = m[1][1] * m[3][2] - m[3][1] * m[1][2];
valType SubFactor09 = m[1][0] * m[3][3] - m[3][0] * m[1][3];
valType SubFactor10 = m[1][0] * m[3][2] - m[3][0] * m[1][2];
valType SubFactor11 = m[1][1] * m[3][3] - m[3][1] * m[1][3];
valType SubFactor12 = m[1][0] * m[3][1] - m[3][0] * m[1][1];
valType SubFactor13 = m[1][2] * m[2][3] - m[2][2] * m[1][3];
valType SubFactor14 = m[1][1] * m[2][3] - m[2][1] * m[1][3];
valType SubFactor15 = m[1][1] * m[2][2] - m[2][1] * m[1][2];
valType SubFactor16 = m[1][0] * m[2][3] - m[2][0] * m[1][3];
valType SubFactor17 = m[1][0] * m[2][2] - m[2][0] * m[1][2];
valType SubFactor18 = m[1][0] * m[2][1] - m[2][0] * m[1][1];
detail::tmat4x4<valType> Inverse;
Inverse[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02);
Inverse[0][1] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04);
Inverse[0][2] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05);
Inverse[0][3] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05);
detail::tmat4x4<valType> Inverse;
Inverse[0][0] = + (m[1][1] * SubFactor00 - m[1][2] * SubFactor01 + m[1][3] * SubFactor02);
Inverse[0][1] = - (m[1][0] * SubFactor00 - m[1][2] * SubFactor03 + m[1][3] * SubFactor04);
Inverse[0][2] = + (m[1][0] * SubFactor01 - m[1][1] * SubFactor03 + m[1][3] * SubFactor05);
Inverse[0][3] = - (m[1][0] * SubFactor02 - m[1][1] * SubFactor04 + m[1][2] * SubFactor05);
Inverse[1][0] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02);
Inverse[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04);
Inverse[1][2] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05);
Inverse[1][3] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05);
Inverse[1][0] = - (m[0][1] * SubFactor00 - m[0][2] * SubFactor01 + m[0][3] * SubFactor02);
Inverse[1][1] = + (m[0][0] * SubFactor00 - m[0][2] * SubFactor03 + m[0][3] * SubFactor04);
Inverse[1][2] = - (m[0][0] * SubFactor01 - m[0][1] * SubFactor03 + m[0][3] * SubFactor05);
Inverse[1][3] = + (m[0][0] * SubFactor02 - m[0][1] * SubFactor04 + m[0][2] * SubFactor05);
Inverse[2][0] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08);
Inverse[2][1] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10);
Inverse[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12);
Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12);
Inverse[2][0] = + (m[0][1] * SubFactor06 - m[0][2] * SubFactor07 + m[0][3] * SubFactor08);
Inverse[2][1] = - (m[0][0] * SubFactor06 - m[0][2] * SubFactor09 + m[0][3] * SubFactor10);
Inverse[2][2] = + (m[0][0] * SubFactor11 - m[0][1] * SubFactor09 + m[0][3] * SubFactor12);
Inverse[2][3] = - (m[0][0] * SubFactor08 - m[0][1] * SubFactor10 + m[0][2] * SubFactor12);
Inverse[3][0] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15);
Inverse[3][1] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17);
Inverse[3][2] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18);
Inverse[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18);
Inverse[3][0] = - (m[0][1] * SubFactor13 - m[0][2] * SubFactor14 + m[0][3] * SubFactor15);
Inverse[3][1] = + (m[0][0] * SubFactor13 - m[0][2] * SubFactor16 + m[0][3] * SubFactor17);
Inverse[3][2] = - (m[0][0] * SubFactor14 - m[0][1] * SubFactor16 + m[0][3] * SubFactor18);
Inverse[3][3] = + (m[0][0] * SubFactor15 - m[0][1] * SubFactor17 + m[0][2] * SubFactor18);
valType Determinant =
+ m[0][0] * Inverse[0][0]
+ m[0][1] * Inverse[0][1]
+ m[0][2] * Inverse[0][2]
+ m[0][3] * Inverse[0][3];
valType Determinant =
+ m[0][0] * Inverse[0][0]
+ m[0][1] * Inverse[0][1]
+ m[0][2] * Inverse[0][2]
+ m[0][3] * Inverse[0][3];
Inverse /= Determinant;
Inverse /= Determinant;
return Inverse;
}
return Inverse;
}
}//namespace glm

683
glm/gtc/matrix_transform.inl
View file

@ -26,388 +26,387 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> translate
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
namespace glm
{
detail::tmat4x4<T> Result(m);
Result[3] = m[0] * v[0] + m[1] * v[1] + m[2] * v[2] + m[3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> translate
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(m);
Result[3] = m[0] * v[0] + m[1] * v[1] + m[2] * v[2] + m[3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rotate
(
detail::tmat4x4<T> const & m,
T const & angle,
detail::tvec3<T> const & v
)
{
T a = radians(angle);
T c = cos(a);
T s = sin(a);
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rotate
(
detail::tmat4x4<T> const & m,
T const & angle,
detail::tvec3<T> const & v
)
{
T a = radians(angle);
T c = cos(a);
T s = sin(a);
detail::tvec3<T> axis = normalize(v);
detail::tvec3<T> axis = normalize(v);
detail::tvec3<T> temp = (T(1) - c) * axis;
detail::tvec3<T> temp = (T(1) - c) * axis;
detail::tmat4x4<T> Rotate(detail::tmat4x4<T>::null);
Rotate[0][0] = c + temp[0] * axis[0];
Rotate[0][1] = 0 + temp[0] * axis[1] + s * axis[2];
Rotate[0][2] = 0 + temp[0] * axis[2] - s * axis[1];
detail::tmat4x4<T> Rotate(detail::tmat4x4<T>::null);
Rotate[0][0] = c + temp[0] * axis[0];
Rotate[0][1] = 0 + temp[0] * axis[1] + s * axis[2];
Rotate[0][2] = 0 + temp[0] * axis[2] - s * axis[1];
Rotate[1][0] = 0 + temp[1] * axis[0] - s * axis[2];
Rotate[1][1] = c + temp[1] * axis[1];
Rotate[1][2] = 0 + temp[1] * axis[2] + s * axis[0];
Rotate[1][0] = 0 + temp[1] * axis[0] - s * axis[2];
Rotate[1][1] = c + temp[1] * axis[1];
Rotate[1][2] = 0 + temp[1] * axis[2] + s * axis[0];
Rotate[2][0] = 0 + temp[2] * axis[0] + s * axis[1];
Rotate[2][1] = 0 + temp[2] * axis[1] - s * axis[0];
Rotate[2][2] = c + temp[2] * axis[2];
Rotate[2][0] = 0 + temp[2] * axis[0] + s * axis[1];
Rotate[2][1] = 0 + temp[2] * axis[1] - s * axis[0];
Rotate[2][2] = c + temp[2] * axis[2];
detail::tmat4x4<T> Result(detail::tmat4x4<T>::null);
Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2];
Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2];
Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2];
Result[3] = m[3];
return Result;
}
detail::tmat4x4<T> Result(detail::tmat4x4<T>::null);
Result[0] = m[0] * Rotate[0][0] + m[1] * Rotate[0][1] + m[2] * Rotate[0][2];
Result[1] = m[0] * Rotate[1][0] + m[1] * Rotate[1][1] + m[2] * Rotate[1][2];
Result[2] = m[0] * Rotate[2][0] + m[1] * Rotate[2][1] + m[2] * Rotate[2][2];
Result[3] = m[3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scale
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(detail::tmat4x4<T>::null);
Result[0] = m[0] * v[0];
Result[1] = m[1] * v[1];
Result[2] = m[2] * v[2];
Result[3] = m[3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scale
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(detail::tmat4x4<T>::null);
Result[0] = m[0] * v[0];
Result[1] = m[1] * v[1];
Result[2] = m[2] * v[2];
Result[3] = m[3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> translate_slow
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(T(1));
Result[3] = detail::tvec4<T>(v, T(1));
return m * Result;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> translate_slow
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(T(1));
Result[3] = detail::tvec4<T>(v, T(1));
return m * Result;
//detail::tmat4x4<valType> Result(m);
Result[3] = m[0] * v[0] + m[1] * v[1] + m[2] * v[2] + m[3];
//Result[3][0] = m[0][0] * v[0] + m[1][0] * v[1] + m[2][0] * v[2] + m[3][0];
//Result[3][1] = m[0][1] * v[0] + m[1][1] * v[1] + m[2][1] * v[2] + m[3][1];
//Result[3][2] = m[0][2] * v[0] + m[1][2] * v[1] + m[2][2] * v[2] + m[3][2];
//Result[3][3] = m[0][3] * v[0] + m[1][3] * v[1] + m[2][3] * v[2] + m[3][3];
//return Result;
}
//detail::tmat4x4<valType> Result(m);
Result[3] = m[0] * v[0] + m[1] * v[1] + m[2] * v[2] + m[3];
//Result[3][0] = m[0][0] * v[0] + m[1][0] * v[1] + m[2][0] * v[2] + m[3][0];
//Result[3][1] = m[0][1] * v[0] + m[1][1] * v[1] + m[2][1] * v[2] + m[3][1];
//Result[3][2] = m[0][2] * v[0] + m[1][2] * v[1] + m[2][2] * v[2] + m[3][2];
//Result[3][3] = m[0][3] * v[0] + m[1][3] * v[1] + m[2][3] * v[2] + m[3][3];
//return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rotate_slow
(
detail::tmat4x4<T> const & m,
T const & angle,
detail::tvec3<T> const & v
)
{
T a = radians(angle);
T c = cos(a);
T s = sin(a);
detail::tmat4x4<T> Result;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rotate_slow
(
detail::tmat4x4<T> const & m,
T const & angle,
detail::tvec3<T> const & v
)
{
T a = radians(angle);
T c = cos(a);
T s = sin(a);
detail::tmat4x4<T> Result;
detail::tvec3<T> axis = normalize(v);
detail::tvec3<T> axis = normalize(v);
Result[0][0] = c + (1 - c) * axis.x * axis.x;
Result[0][1] = (1 - c) * axis.x * axis.y + s * axis.z;
Result[0][2] = (1 - c) * axis.x * axis.z - s * axis.y;
Result[0][3] = 0;
Result[0][0] = c + (1 - c) * axis.x * axis.x;
Result[0][1] = (1 - c) * axis.x * axis.y + s * axis.z;
Result[0][2] = (1 - c) * axis.x * axis.z - s * axis.y;
Result[0][3] = 0;
Result[1][0] = (1 - c) * axis.y * axis.x - s * axis.z;
Result[1][1] = c + (1 - c) * axis.y * axis.y;
Result[1][2] = (1 - c) * axis.y * axis.z + s * axis.x;
Result[1][3] = 0;
Result[1][0] = (1 - c) * axis.y * axis.x - s * axis.z;
Result[1][1] = c + (1 - c) * axis.y * axis.y;
Result[1][2] = (1 - c) * axis.y * axis.z + s * axis.x;
Result[1][3] = 0;
Result[2][0] = (1 - c) * axis.z * axis.x + s * axis.y;
Result[2][1] = (1 - c) * axis.z * axis.y - s * axis.x;
Result[2][2] = c + (1 - c) * axis.z * axis.z;
Result[2][3] = 0;
Result[2][0] = (1 - c) * axis.z * axis.x + s * axis.y;
Result[2][1] = (1 - c) * axis.z * axis.y - s * axis.x;
Result[2][2] = c + (1 - c) * axis.z * axis.z;
Result[2][3] = 0;
Result[3] = detail::tvec4<T>(0, 0, 0, 1);
return m * Result;
}
Result[3] = detail::tvec4<T>(0, 0, 0, 1);
return m * Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scale_slow
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(T(1));
Result[0][0] = v.x;
Result[1][1] = v.y;
Result[2][2] = v.z;
return m * Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scale_slow
(
detail::tmat4x4<T> const & m,
detail::tvec3<T> const & v
)
{
detail::tmat4x4<T> Result(T(1));
Result[0][0] = v.x;
Result[1][1] = v.y;
Result[2][2] = v.z;
return m * Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> ortho
(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top,
valType const & zNear,
valType const & zFar
)
{
detail::tmat4x4<valType> Result(1);
Result[0][0] = valType(2) / (right - left);
Result[1][1] = valType(2) / (top - bottom);
Result[2][2] = - valType(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> ortho
(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top,
valType const & zNear,
valType const & zFar
)
{
detail::tmat4x4<valType> Result(1);
Result[0][0] = valType(2) / (right - left);
Result[1][1] = valType(2) / (top - bottom);
Result[2][2] = - valType(2) / (zFar - zNear);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
Result[3][2] = - (zFar + zNear) / (zFar - zNear);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> ortho(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top)
{
detail::tmat4x4<valType> Result(1);
Result[0][0] = valType(2) / (right - left);
Result[1][1] = valType(2) / (top - bottom);
Result[2][2] = - valType(1);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> ortho(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top)
{
detail::tmat4x4<valType> Result(1);
Result[0][0] = valType(2) / (right - left);
Result[1][1] = valType(2) / (top - bottom);
Result[2][2] = - valType(1);
Result[3][0] = - (right + left) / (right - left);
Result[3][1] = - (top + bottom) / (top - bottom);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> frustum
(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top,
valType const & nearVal,
valType const & farVal
)
{
detail::tmat4x4<valType> Result(0);
Result[0][0] = (valType(2) * nearVal) / (right - left);
Result[1][1] = (valType(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = -(farVal + nearVal) / (farVal - nearVal);
Result[2][3] = valType(-1);
Result[3][2] = -(valType(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> frustum
(
valType const & left,
valType const & right,
valType const & bottom,
valType const & top,
valType const & nearVal,
valType const & farVal
)
{
detail::tmat4x4<valType> Result(0);
Result[0][0] = (valType(2) * nearVal) / (right - left);
Result[1][1] = (valType(2) * nearVal) / (top - bottom);
Result[2][0] = (right + left) / (right - left);
Result[2][1] = (top + bottom) / (top - bottom);
Result[2][2] = -(farVal + nearVal) / (farVal - nearVal);
Result[2][3] = valType(-1);
Result[3][2] = -(valType(2) * farVal * nearVal) / (farVal - nearVal);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> perspective
(
valType const & fovy,
valType const & aspect,
valType const & zNear,
valType const & zFar
)
{
valType range = tan(radians(fovy / valType(2))) * zNear;
valType left = -range * aspect;
valType right = range * aspect;
valType bottom = -range;
valType top = range;
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> perspective
(
valType const & fovy,
valType const & aspect,
valType const & zNear,
valType const & zFar
)
{
valType range = tan(radians(fovy / valType(2))) * zNear;
valType left = -range * aspect;
valType right = range * aspect;
valType bottom = -range;
valType top = range;
detail::tmat4x4<valType> Result(valType(0));
Result[0][0] = (valType(2) * zNear) / (right - left);
Result[1][1] = (valType(2) * zNear) / (top - bottom);
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - valType(1);
Result[3][2] = - (valType(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
detail::tmat4x4<valType> Result(valType(0));
Result[0][0] = (valType(2) * zNear) / (right - left);
Result[1][1] = (valType(2) * zNear) / (top - bottom);
Result[2][2] = - (zFar + zNear) / (zFar - zNear);
Result[2][3] = - valType(1);
Result[3][2] = - (valType(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> perspectiveFov
(
valType const & fov,
valType const & width,
valType const & height,
valType const & zNear,
valType const & zFar
)
{
valType rad = glm::radians(fov);
valType h = glm::cos(valType(0.5) * rad) / glm::sin(valType(0.5) * rad);
valType w = h * height / width;
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> perspectiveFov
(
valType const & fov,
valType const & width,
valType const & height,
valType const & zNear,
valType const & zFar
)
{
valType rad = glm::radians(fov);
valType h = glm::cos(valType(0.5) * rad) / glm::sin(valType(0.5) * rad);
valType w = h * height / width;
detail::tmat4x4<valType> Result(valType(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = valType(1);
Result[3][2] = -(valType(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
detail::tmat4x4<valType> Result(valType(0));
Result[0][0] = w;
Result[1][1] = h;
Result[2][2] = (zFar + zNear) / (zFar - zNear);
Result[2][3] = valType(1);
Result[3][2] = -(valType(2) * zFar * zNear) / (zFar - zNear);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> infinitePerspective
(
T fovy,
T aspect,
T zNear
)
{
T range = tan(radians(fovy / T(2))) * zNear;
T left = -range * aspect;
T right = range * aspect;
T bottom = -range;
T top = range;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> infinitePerspective
(
T fovy,
T aspect,
T zNear
)
{
T range = tan(radians(fovy / T(2))) * zNear;
T left = -range * aspect;
T right = range * aspect;
T bottom = -range;
T top = range;
detail::tmat4x4<T> Result(T(0));
Result[0][0] = (T(2) * zNear) / (right - left);
Result[1][1] = (T(2) * zNear) / (top - bottom);
Result[2][2] = - T(1);
Result[2][3] = - T(1);
Result[3][2] = - T(2) * zNear;
return Result;
}
detail::tmat4x4<T> Result(T(0));
Result[0][0] = (T(2) * zNear) / (right - left);
Result[1][1] = (T(2) * zNear) / (top - bottom);
Result[2][2] = - T(1);
Result[2][3] = - T(1);
Result[3][2] = - T(2) * zNear;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> tweakedInfinitePerspective
(
T fovy,
T aspect,
T zNear
)
{
T range = tan(radians(fovy / T(2))) * zNear;
T left = -range * aspect;
T right = range * aspect;
T bottom = -range;
T top = range;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> tweakedInfinitePerspective
(
T fovy,
T aspect,
T zNear
)
{
T range = tan(radians(fovy / T(2))) * zNear;
T left = -range * aspect;
T right = range * aspect;
T bottom = -range;
T top = range;
detail::tmat4x4<T> Result(T(0));
Result[0][0] = (T(2) * zNear) / (right - left);
Result[1][1] = (T(2) * zNear) / (top - bottom);
Result[2][2] = T(0.0001) - T(1);
Result[2][3] = T(-1);
Result[3][2] = - (T(0.0001) - T(2)) * zNear;
return Result;
}
detail::tmat4x4<T> Result(T(0));
Result[0][0] = (T(2) * zNear) / (right - left);
Result[1][1] = (T(2) * zNear) / (top - bottom);
Result[2][2] = T(0.0001) - T(1);
Result[2][3] = T(-1);
Result[3][2] = - (T(0.0001) - T(2)) * zNear;
return Result;
}
template <typename T, typename U>
GLM_FUNC_QUALIFIER detail::tvec3<T> project
(
detail::tvec3<T> const & obj,
detail::tmat4x4<T> const & model,
detail::tmat4x4<T> const & proj,
detail::tvec4<U> const & viewport
)
{
detail::tvec4<T> tmp = detail::tvec4<T>(obj, T(1));
tmp = model * tmp;
tmp = proj * tmp;
template <typename T, typename U>
GLM_FUNC_QUALIFIER detail::tvec3<T> project
(
detail::tvec3<T> const & obj,
detail::tmat4x4<T> const & model,
detail::tmat4x4<T> const & proj,
detail::tvec4<U> const & viewport
)
{
detail::tvec4<T> tmp = detail::tvec4<T>(obj, T(1));
tmp = model * tmp;
tmp = proj * tmp;
tmp /= tmp.w;
tmp = tmp * T(0.5) + T(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
tmp /= tmp.w;
tmp = tmp * T(0.5) + T(0.5);
tmp[0] = tmp[0] * T(viewport[2]) + T(viewport[0]);
tmp[1] = tmp[1] * T(viewport[3]) + T(viewport[1]);
return detail::tvec3<T>(tmp);
}
return detail::tvec3<T>(tmp);
}
template <typename T, typename U>
GLM_FUNC_QUALIFIER detail::tvec3<T> unProject
(
detail::tvec3<T> const & win,
detail::tmat4x4<T> const & model,
detail::tmat4x4<T> const & proj,
detail::tvec4<U> const & viewport
)
{
detail::tmat4x4<T> inverse = glm::inverse(proj * model);
template <typename T, typename U>
GLM_FUNC_QUALIFIER detail::tvec3<T> unProject
(
detail::tvec3<T> const & win,
detail::tmat4x4<T> const & model,
detail::tmat4x4<T> const & proj,
detail::tvec4<U> const & viewport
)
{
detail::tmat4x4<T> inverse = glm::inverse(proj * model);
detail::tvec4<T> tmp = detail::tvec4<T>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp = tmp * T(2) - T(1);
detail::tvec4<T> tmp = detail::tvec4<T>(win, T(1));
tmp.x = (tmp.x - T(viewport[0])) / T(viewport[2]);
tmp.y = (tmp.y - T(viewport[1])) / T(viewport[3]);
tmp = tmp * T(2) - T(1);
detail::tvec4<T> obj = inverse * tmp;
obj /= obj.w;
detail::tvec4<T> obj = inverse * tmp;
obj /= obj.w;
return detail::tvec3<T>(obj);
}
return detail::tvec3<T>(obj);
}
template <typename T, typename U>
detail::tmat4x4<T> pickMatrix
(
detail::tvec2<T> const & center,
detail::tvec2<T> const & delta,
detail::tvec4<U> const & viewport
)
{
assert(delta.x > T(0) && delta.y > T(0));
detail::tmat4x4<T> Result(1.0f);
template <typename T, typename U>
detail::tmat4x4<T> pickMatrix
(
detail::tvec2<T> const & center,
detail::tvec2<T> const & delta,
detail::tvec4<U> const & viewport
)
{
assert(delta.x > T(0) && delta.y > T(0));
detail::tmat4x4<T> Result(1.0f);
if(!(delta.x > T(0) && delta.y > T(0)))
return Result; // Error
if(!(delta.x > T(0) && delta.y > T(0)))
return Result; // Error
detail::tvec3<T> Temp(
(T(viewport[2]) - T(2) * (center.x - T(viewport[0]))) / delta.x,
(T(viewport[3]) - T(2) * (center.y - T(viewport[1]))) / delta.y,
T(0));
detail::tvec3<T> Temp(
(T(viewport[2]) - T(2) * (center.x - T(viewport[0]))) / delta.x,
(T(viewport[3]) - T(2) * (center.y - T(viewport[1]))) / delta.y,
T(0));
// Translate and scale the picked region to the entire window
Result = translate(Result, Temp);
return scale(Result, detail::tvec3<T>(T(viewport[2]) / delta.x, T(viewport[3]) / delta.y, T(1)));
}
// Translate and scale the picked region to the entire window
Result = translate(Result, Temp);
return scale(Result, detail::tvec3<T>(T(viewport[2]) / delta.x, T(viewport[3]) / delta.y, T(1)));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> lookAt
(
detail::tvec3<T> const & eye,
detail::tvec3<T> const & center,
detail::tvec3<T> const & up
)
{
detail::tvec3<T> f = normalize(center - eye);
detail::tvec3<T> u = normalize(up);
detail::tvec3<T> s = normalize(cross(f, u));
u = cross(s, f);
detail::tmat4x4<T> Result(1);
Result[0][0] = s.x;
Result[1][0] = s.y;
Result[2][0] = s.z;
Result[0][1] = u.x;
Result[1][1] = u.y;
Result[2][1] = u.z;
Result[0][2] =-f.x;
Result[1][2] =-f.y;
Result[2][2] =-f.z;
/* Test this instead of translate3D
Result[3][0] =-dot(s, eye);
Result[3][1] =-dot(y, eye);
Result[3][2] = dot(f, eye);
*/
return translate(Result, -eye);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> lookAt
(
detail::tvec3<T> const & eye,
detail::tvec3<T> const & center,
detail::tvec3<T> const & up
)
{
detail::tvec3<T> f = normalize(center - eye);
detail::tvec3<T> u = normalize(up);
detail::tvec3<T> s = normalize(cross(f, u));
u = cross(s, f);
detail::tmat4x4<T> Result(1);
Result[0][0] = s.x;
Result[1][0] = s.y;
Result[2][0] = s.z;
Result[0][1] = u.x;
Result[1][1] = u.y;
Result[2][1] = u.z;
Result[0][2] =-f.x;
Result[1][2] =-f.y;
Result[2][2] =-f.z;
/* Test this instead of translate3D
Result[3][0] =-dot(s, eye);
Result[3][1] =-dot(y, eye);
Result[3][2] = dot(f, eye);
*/
return translate(Result, -eye);
}
}//namespace glm

1659
glm/gtc/noise.inl
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File diff suppressed because it is too large Load diff

4
glm/gtc/quaternion.inl
View file

@ -29,8 +29,8 @@
#include <limits>
namespace glm{
namespace detail{
namespace detail
{
template <typename T>
GLM_FUNC_QUALIFIER tquat<T>::tquat() :
x(0),

318
glm/gtc/random.inl
View file

@ -9,200 +9,136 @@
#include <ctime>
#include <cassert>
#include "../core/_vectorize.hpp"
namespace glm{
template <>
GLM_FUNC_QUALIFIER glm::half linearRand
(
glm::half const & Min,
glm::half const & Max
)
namespace detail
{
return glm::half(float(std::rand()) / float(RAND_MAX) * (float(Max) - float(Min)) + float(Min));
}
template <>
GLM_FUNC_QUALIFIER float linearRand
(
float const & Min,
float const & Max
)
{
return float(std::rand()) / float(RAND_MAX) * (Max - Min) + Min;
}
template <>
GLM_FUNC_QUALIFIER double linearRand
(
double const & Min,
double const & Max
)
{
return double(std::rand()) / double(RAND_MAX) * (Max - Min) + Min;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> linearRand
(
detail::tvec2<T> const & Min,
detail::tvec2<T> const & Max
)
{
return detail::tvec2<T>(
linearRand(Min.x, Max.x),
linearRand(Min.y, Max.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> linearRand
(
detail::tvec3<T> const & Min,
detail::tvec3<T> const & Max
)
{
return detail::tvec3<T>(
linearRand(Min.x, Max.x),
linearRand(Min.y, Max.y),
linearRand(Min.z, Max.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> linearRand
(
detail::tvec4<T> const & Min,
detail::tvec4<T> const & Max
)
{
return detail::tvec4<T>(
linearRand(Min.x, Max.x),
linearRand(Min.y, Max.y),
linearRand(Min.z, Max.z),
linearRand(Min.w, Max.w));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType gaussRand
(
genType const & Mean,
genType const & Deviation
)
{
genType w, x1, x2;
do
{
x1 = linearRand(genType(-1), genType(1));
x2 = linearRand(genType(-1), genType(1));
w = x1 * x1 + x2 * x2;
} while(w > genType(1));
return x2 * Deviation * Deviation * sqrt((genType(-2) * log(w)) / w) + Mean;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> gaussRand
(
detail::tvec2<T> const & Mean,
detail::tvec2<T> const & Deviation
)
{
return detail::tvec2<T>(
gaussRand(Mean.x, Deviation.x),
gaussRand(Mean.y, Deviation.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> gaussRand
(
detail::tvec3<T> const & Mean,
detail::tvec3<T> const & Deviation
)
{
return detail::tvec3<T>(
gaussRand(Mean.x, Deviation.x),
gaussRand(Mean.y, Deviation.y),
gaussRand(Mean.z, Deviation.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> gaussRand
(
detail::tvec4<T> const & Mean,
detail::tvec4<T> const & Deviation
)
{
return detail::tvec4<T>(
gaussRand(Mean.x, Deviation.x),
gaussRand(Mean.y, Deviation.y),
gaussRand(Mean.z, Deviation.z),
gaussRand(Mean.w, Deviation.w));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> diskRand
(
T const & Radius
)
{
detail::tvec2<T> Result(T(0));
T LenRadius(T(0));
do
struct compute_linearRand
{
Result = linearRand(detail::tvec2<T>(-Radius), detail::tvec2<T>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> ballRand
(
T const & Radius
)
{
detail::tvec3<T> Result(T(0));
T LenRadius(T(0));
do
{
Result = linearRand(detail::tvec3<T>(-Radius), detail::tvec3<T>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> circularRand
(
T const & Radius
)
{
T a = linearRand(T(0), T(6.283185307179586476925286766559f));
return detail::tvec2<T>(cos(a), sin(a)) * Radius;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> sphericalRand
(
T const & Radius
)
{
T z = linearRand(T(-1), T(1));
T a = linearRand(T(0), T(6.283185307179586476925286766559f));
T r = sqrt(T(1) - z * z);
T x = r * cos(a);
T y = r * sin(a);
return detail::tvec3<T>(x, y, z) * Radius;
}
template <typename T>
GLM_FUNC_QUALIFIER T operator() (T const & Min, T const & Max) const
{
GLM_STATIC_ASSERT(0, "'linearRand' invalid template parameter type. GLM_GTC_random only supports floating-point template types.");
return Min;
}
};
template <>
GLM_FUNC_QUALIFIER half compute_linearRand::operator()<half> (half const & Min, half const & Max) const
{
return half(float(std::rand()) / float(RAND_MAX) * (float(Max) - float(Min)) + float(Min));
}
template <>
GLM_FUNC_QUALIFIER float compute_linearRand::operator()<float> (float const & Min, float const & Max) const
{
return float(std::rand()) / float(RAND_MAX) * (Max - Min) + Min;
}
template <>
GLM_FUNC_QUALIFIER double compute_linearRand::operator()<double> (double const & Min, double const & Max) const
{
return double(std::rand()) / double(RAND_MAX) * (Max - Min) + Min;
}
}//namespace detail
template <typename genType>
GLM_FUNC_QUALIFIER genType linearRand
(
genType const & Min,
genType const & Max
)
{
return detail::compute_linearRand()(Min, Max);
}
VECTORIZE_VEC_VEC(linearRand)
template <typename genType>
GLM_FUNC_QUALIFIER genType gaussRand
(
genType const & Mean,
genType const & Deviation
)
{
genType w, x1, x2;
do
{
x1 = linearRand(genType(-1), genType(1));
x2 = linearRand(genType(-1), genType(1));
w = x1 * x1 + x2 * x2;
} while(w > genType(1));
return x2 * Deviation * Deviation * sqrt((genType(-2) * log(w)) / w) + Mean;
}
VECTORIZE_VEC_VEC(gaussRand)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> diskRand
(
T const & Radius
)
{
detail::tvec2<T> Result(T(0));
T LenRadius(T(0));
do
{
Result = linearRand(detail::tvec2<T>(-Radius), detail::tvec2<T>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> ballRand
(
T const & Radius
)
{
detail::tvec3<T> Result(T(0));
T LenRadius(T(0));
do
{
Result = linearRand(detail::tvec3<T>(-Radius), detail::tvec3<T>(Radius));
LenRadius = length(Result);
}
while(LenRadius > Radius);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> circularRand
(
T const & Radius
)
{
T a = linearRand(T(0), T(6.283185307179586476925286766559f));
return detail::tvec2<T>(cos(a), sin(a)) * Radius;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> sphericalRand
(
T const & Radius
)
{
T z = linearRand(T(-1), T(1));
T a = linearRand(T(0), T(6.283185307179586476925286766559f));
T r = sqrt(T(1) - z * z);
T x = r * cos(a);
T y = r * sin(a);
return detail::tvec3<T>(x, y, z) * Radius;
}
}//namespace glm

234
glm/gtc/swizzle.inl
View file

@ -26,165 +26,91 @@
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace glm
{
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER T swizzle
(
vecType<T> const & v,
comp x
)
{
assert(int(x) < int(vecType<T>::value_size));
return v[x];
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER T swizzle
(
vecType<T> const & v,
comp x
)
{
assert(int(x) < int(vecType<T>::value_size));
return v[x];
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec2<T> swizzle
(
vecType<T> const & v,
comp x, comp y
)
{
return detail::tvec2<T>(
v[x],
v[y]);
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec2<T> swizzle
(
vecType<T> const & v,
comp x, comp y
)
{
return detail::tvec2<T>(
v[x],
v[y]);
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec3<T> swizzle
(
vecType<T> const & v,
comp x, comp y, comp z
)
{
return detail::tvec3<T>(
v[x],
v[y],
v[z]);
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec3<T> swizzle
(
vecType<T> const & v,
comp x, comp y, comp z
)
{
return detail::tvec3<T>(
v[x],
v[y],
v[z]);
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec4<T> swizzle
(
vecType<T> const & v,
comp x, comp y, comp z, comp w
)
{
return detail::tvec4<T>(v[x], v[y], v[z], v[w]);
}
template <typename T, template <typename> class vecType>
GLM_FUNC_QUALIFIER detail::tvec4<T> swizzle
(
vecType<T> const & v,
comp x, comp y, comp z, comp w
)
{
return detail::tvec4<T>(v[x], v[y], v[z], v[w]);
}
template <typename T>
GLM_FUNC_QUALIFIER T& swizzle
(
detail::tvec4<T> & v,
comp x
)
{
return v[x];
}
template <typename T>
GLM_FUNC_QUALIFIER T& swizzle
(
detail::tvec4<T> & v,
comp x
)
{
return v[x];
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tref2<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y
)
{
return detail::tref2<T>(v[x], v[y]);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tref2<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y
)
{
return detail::tref2<T>(v[x], v[y]);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tref3<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y, comp z
)
{
return detail::tref3<T>(v[x], v[y], v[z]);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tref4<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y, comp z, comp w
)
{
return detail::tref4<T>(v[x], v[y], v[z], v[w]);
}
/*
template <comp x>
GLM_FUNC_QUALIFIER float& swizzle
(
detail::tvec4<float> & v
)
{
return v[x];
}
template <comp x>
GLM_FUNC_QUALIFIER int& swizzle
(
detail::tvec4<int> & v
)
{
return v[x];
}
template <comp x, comp y>
GLM_FUNC_QUALIFIER detail::tref2<float> swizzle
(
detail::tvec4<float> & v
)
{
return detail::tref2<float>(v[x], v[y]);
}
template <comp x, comp y>
GLM_FUNC_QUALIFIER detail::tref2<int> swizzle
(
detail::tvec4<int> & v
)
{
return detail::tref2<int>(v[x], v[y]);
}
template <comp x, comp y, comp z>
GLM_FUNC_QUALIFIER detail::tref3<float> swizzle
(
detail::tvec4<float> & v
)
{
return detail::tref3<float>(v[x], v[y], v[z]);
}
template <comp x, comp y, comp z>
GLM_FUNC_QUALIFIER detail::tref3<int> swizzle
(
detail::tvec4<int> & v
)
{
return detail::tref3<int>(v[x], v[y], v[z]);
}
template <comp x, comp y, comp z, comp w>
GLM_FUNC_QUALIFIER detail::tref4<float> swizzle
(
detail::tvec4<float> & v
)
{
return detail::tref4<float>(v[x], v[y], v[z], v[w]);
}
template <comp x, comp y, comp z, comp w>
GLM_FUNC_QUALIFIER detail::tref4<int> swizzle
(
detail::tvec4<int> & v
)
{
return detail::tref4<int>(v[x], v[y], v[z], v[w]);
}
*/
template <typename T>
GLM_FUNC_QUALIFIER detail::tref3<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y, comp z
)
{
return detail::tref3<T>(v[x], v[y], v[z]);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tref4<T> swizzle
(
detail::tvec4<T> & v,
comp x, comp y, comp z, comp w
)
{
return detail::tref4<T>(v[x], v[y], v[z], v[w]);
}
}//namespace glm

1264
glm/gtx/bit.inl
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37
glm/gtx/closest_point.inl
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@ -10,28 +10,27 @@
#ifndef glm_gtx_closest_point
#define glm_gtx_closest_point
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> closestPointOnLine
(
detail::tvec3<valType> const & point,
detail::tvec3<valType> const & a,
detail::tvec3<valType> const & b
)
namespace glm
{
valType LineLength = distance(a, b);
detail::tvec3<valType> Vector = point - a;
detail::tvec3<valType> LineDirection = (b - a) / LineLength;
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> closestPointOnLine
(
detail::tvec3<valType> const & point,
detail::tvec3<valType> const & a,
detail::tvec3<valType> const & b
)
{
valType LineLength = distance(a, b);
detail::tvec3<valType> Vector = point - a;
detail::tvec3<valType> LineDirection = (b - a) / LineLength;
// Project Vector to LineDirection to get the distance of point from a
valType Distance = dot(Vector, LineDirection);
if(Distance <= valType(0)) return a;
if(Distance >= LineLength) return b;
return a + LineDirection * Distance;
}
// Project Vector to LineDirection to get the distance of point from a
valType Distance = dot(Vector, LineDirection);
if(Distance <= valType(0)) return a;
if(Distance >= LineLength) return b;
return a + LineDirection * Distance;
}
}//namespace glm
#endif//glm_gtx_closest_point

1447
glm/gtx/color_cast.inl
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247
glm/gtx/color_space.inl
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@ -7,144 +7,143 @@
// File : glm/gtx/color_space.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rgbColor(const detail::tvec3<T>& hsvColor)
namespace glm
{
detail::tvec3<T> hsv = hsvColor;
detail::tvec3<T> rgbColor;
if(hsv.y == T(0))
// achromatic (grey)
rgbColor = detail::tvec3<T>(hsv.z);
else
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rgbColor(const detail::tvec3<T>& hsvColor)
{
T sector = floor(hsv.x / T(60));
T frac = (hsv.x / T(60)) - sector;
// factorial part of h
T o = hsv.z * (T(1) - hsv.y);
T p = hsv.z * (T(1) - hsv.y * frac);
T q = hsv.z * (T(1) - hsv.y * (T(1) - frac));
detail::tvec3<T> hsv = hsvColor;
detail::tvec3<T> rgbColor;
switch(int(sector))
{
default:
case 0:
rgbColor.r = hsv.z;
rgbColor.g = q;
rgbColor.b = o;
break;
case 1:
rgbColor.r = p;
rgbColor.g = hsv.z;
rgbColor.b = o;
break;
case 2:
rgbColor.r = o;
rgbColor.g = hsv.z;
rgbColor.b = q;
break;
case 3:
rgbColor.r = o;
rgbColor.g = p;
rgbColor.b = hsv.z;
break;
case 4:
rgbColor.r = q;
rgbColor.g = o;
rgbColor.b = hsv.z;
break;
case 5:
rgbColor.r = hsv.z;
rgbColor.g = o;
rgbColor.b = p;
break;
}
if(hsv.y == T(0))
// achromatic (grey)
rgbColor = detail::tvec3<T>(hsv.z);
else
{
T sector = floor(hsv.x / T(60));
T frac = (hsv.x / T(60)) - sector;
// factorial part of h
T o = hsv.z * (T(1) - hsv.y);
T p = hsv.z * (T(1) - hsv.y * frac);
T q = hsv.z * (T(1) - hsv.y * (T(1) - frac));
switch(int(sector))
{
default:
case 0:
rgbColor.r = hsv.z;
rgbColor.g = q;
rgbColor.b = o;
break;
case 1:
rgbColor.r = p;
rgbColor.g = hsv.z;
rgbColor.b = o;
break;
case 2:
rgbColor.r = o;
rgbColor.g = hsv.z;
rgbColor.b = q;
break;
case 3:
rgbColor.r = o;
rgbColor.g = p;
rgbColor.b = hsv.z;
break;
case 4:
rgbColor.r = q;
rgbColor.g = o;
rgbColor.b = hsv.z;
break;
case 5:
rgbColor.r = hsv.z;
rgbColor.g = o;
rgbColor.b = p;
break;
}
}
return rgbColor;
}
return rgbColor;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> hsvColor(const detail::tvec3<T>& rgbColor)
{
detail::tvec3<T> hsv = rgbColor;
float Min = min(min(rgbColor.r, rgbColor.g), rgbColor.b);
float Max = max(max(rgbColor.r, rgbColor.g), rgbColor.b);
float Delta = Max - Min;
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> hsvColor(const detail::tvec3<T>& rgbColor)
{
detail::tvec3<T> hsv = rgbColor;
float Min = min(min(rgbColor.r, rgbColor.g), rgbColor.b);
float Max = max(max(rgbColor.r, rgbColor.g), rgbColor.b);
float Delta = Max - Min;
hsv.z = Max;
hsv.z = Max;
if(Max != T(0))
{
hsv.y = Delta / hsv.z;
T h = T(0);
if(Max != T(0))
{
hsv.y = Delta / hsv.z;
T h = T(0);
if(rgbColor.r == Max)
// between yellow & magenta
h = T(0) + T(60) * (rgbColor.g - rgbColor.b) / Delta;
else if(rgbColor.g == Max)
// between cyan & yellow
h = T(120) + T(60) * (rgbColor.b - rgbColor.r) / Delta;
else
// between magenta & cyan
h = T(240) + T(60) * (rgbColor.r - rgbColor.g) / Delta;
if(rgbColor.r == Max)
// between yellow & magenta
h = T(0) + T(60) * (rgbColor.g - rgbColor.b) / Delta;
else if(rgbColor.g == Max)
// between cyan & yellow
h = T(120) + T(60) * (rgbColor.b - rgbColor.r) / Delta;
else
// between magenta & cyan
h = T(240) + T(60) * (rgbColor.r - rgbColor.g) / Delta;
if(h < T(0))
hsv.x = h + T(360);
if(h < T(0))
hsv.x = h + T(360);
else
hsv.x = h;
}
else
hsv.x = h;
{
// If r = g = b = 0 then s = 0, h is undefined
hsv.y = T(0);
hsv.x = T(0);
}
return hsv;
}
else
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> saturation(const T s)
{
// If r = g = b = 0 then s = 0, h is undefined
hsv.y = T(0);
hsv.x = T(0);
detail::tvec3<T> rgbw = detail::tvec3<T>(T(0.2126), T(0.7152), T(0.0722));
T col0 = (T(1) - s) * rgbw.r;
T col1 = (T(1) - s) * rgbw.g;
T col2 = (T(1) - s) * rgbw.b;
detail::tmat4x4<T> result(T(1));
result[0][0] = col0 + s;
result[0][1] = col0;
result[0][2] = col0;
result[1][0] = col1;
result[1][1] = col1 + s;
result[1][2] = col1;
result[2][0] = col2;
result[2][1] = col2;
result[2][2] = col2 + s;
return result;
}
return hsv;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> saturation(const T s, const detail::tvec3<T>& color)
{
return detail::tvec3<T>(saturation(s) * detail::tvec4<T>(color, T(0)));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> saturation(const T s)
{
detail::tvec3<T> rgbw = detail::tvec3<T>(T(0.2126), T(0.7152), T(0.0722));
T col0 = (T(1) - s) * rgbw.r;
T col1 = (T(1) - s) * rgbw.g;
T col2 = (T(1) - s) * rgbw.b;
detail::tmat4x4<T> result(T(1));
result[0][0] = col0 + s;
result[0][1] = col0;
result[0][2] = col0;
result[1][0] = col1;
result[1][1] = col1 + s;
result[1][2] = col1;
result[2][0] = col2;
result[2][1] = col2;
result[2][2] = col2 + s;
return result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> saturation(const T s, const detail::tvec3<T>& color)
{
return detail::tvec3<T>(saturation(s) * detail::tvec4<T>(color, T(0)));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> saturation(const T s, const detail::tvec4<T>& color)
{
return saturation(s) * color;
}
template <typename T>
GLM_FUNC_QUALIFIER T luminosity(const detail::tvec3<T>& color)
{
const detail::tvec3<T> tmp = detail::tvec3<T>(0.33, 0.59, 0.11);
return dot(color, tmp);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> saturation(const T s, const detail::tvec4<T>& color)
{
return saturation(s) * color;
}
template <typename T>
GLM_FUNC_QUALIFIER T luminosity(const detail::tvec3<T>& color)
{
const detail::tvec3<T> tmp = detail::tvec3<T>(0.33, 0.59, 0.11);
return dot(color, tmp);
}
}//namespace glm

101
glm/gtx/color_space_YCoCg.inl
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@ -7,59 +7,58 @@
// File : glm/gtx/color_space_YCoCg.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> rgb2YCoCg
(
detail::tvec3<valType> const & rgbColor
)
namespace glm
{
detail::tvec3<valType> result;
result.x/*Y */ = rgbColor.r / valType(4) + rgbColor.g / valType(2) + rgbColor.b / valType(4);
result.y/*Co*/ = rgbColor.r / valType(2) + rgbColor.g * valType(0) - rgbColor.b / valType(2);
result.z/*Cg*/ = - rgbColor.r / valType(4) + rgbColor.g / valType(2) - rgbColor.b / valType(4);
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> rgb2YCoCg
(
detail::tvec3<valType> const & rgbColor
)
{
detail::tvec3<valType> result;
result.x/*Y */ = rgbColor.r / valType(4) + rgbColor.g / valType(2) + rgbColor.b / valType(4);
result.y/*Co*/ = rgbColor.r / valType(2) + rgbColor.g * valType(0) - rgbColor.b / valType(2);
result.z/*Cg*/ = - rgbColor.r / valType(4) + rgbColor.g / valType(2) - rgbColor.b / valType(4);
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> rgb2YCoCgR
(
detail::tvec3<valType> const & rgbColor
)
{
detail::tvec3<valType> result;
result.x/*Y */ = rgbColor.g / valType(2) + (rgbColor.r + rgbColor.b) / valType(4);
result.y/*Co*/ = rgbColor.r - rgbColor.b;
result.z/*Cg*/ = rgbColor.g - (rgbColor.r + rgbColor.b) / valType(2);
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> rgb2YCoCgR
(
detail::tvec3<valType> const & rgbColor
)
{
detail::tvec3<valType> result;
result.x/*Y */ = rgbColor.g / valType(2) + (rgbColor.r + rgbColor.b) / valType(4);
result.y/*Co*/ = rgbColor.r - rgbColor.b;
result.z/*Cg*/ = rgbColor.g - (rgbColor.r + rgbColor.b) / valType(2);
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> YCoCg2rgb
(
detail::tvec3<valType> const & YCoCgColor
)
{
detail::tvec3<valType> result;
result.r = YCoCgColor.x + YCoCgColor.y - YCoCgColor.z;
result.g = YCoCgColor.x + YCoCgColor.z;
result.b = YCoCgColor.x - YCoCgColor.y - YCoCgColor.z;
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> YCoCgR2rgb
(
detail::tvec3<valType> const & YCoCgRColor
)
{
detail::tvec3<valType> result;
valType tmp = YCoCgRColor.x - (YCoCgRColor.z / valType(2));
result.g = YCoCgRColor.z + tmp;
result.b = tmp - (YCoCgRColor.y / valType(2));
result.r = result.b + YCoCgRColor.y;
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> YCoCg2rgb
(
detail::tvec3<valType> const & YCoCgColor
)
{
detail::tvec3<valType> result;
result.r = YCoCgColor.x + YCoCgColor.y - YCoCgColor.z;
result.g = YCoCgColor.x + YCoCgColor.z;
result.b = YCoCgColor.x - YCoCgColor.y - YCoCgColor.z;
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> YCoCgR2rgb
(
detail::tvec3<valType> const & YCoCgRColor
)
{
detail::tvec3<valType> result;
valType tmp = YCoCgRColor.x - (YCoCgRColor.z / valType(2));
result.g = YCoCgRColor.z + tmp;
result.b = tmp - (YCoCgRColor.y / valType(2));
result.r = result.b + YCoCgRColor.y;
return result;
}
}//namespace glm

229
glm/gtx/compatibility.inl
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@ -7,131 +7,130 @@
// File : glm/gtx/compatibility.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
// isfinite
template <typename genType>
GLM_FUNC_QUALIFIER bool isfinite(
genType const & x)
namespace glm
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _finite(x);
#else//(GLM_COMPILER & GLM_COMPILER_GCC)
return std::isfinite(x) != 0;
#endif
}
// isfinite
template <typename genType>
GLM_FUNC_QUALIFIER bool isfinite(
genType const & x)
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _finite(x);
#else//(GLM_COMPILER & GLM_COMPILER_GCC)
return std::isfinite(x) != 0;
#endif
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isfinite(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isfinite(x.x),
isfinite(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isfinite(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isfinite(x.x),
isfinite(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isfinite(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isfinite(x.x),
isfinite(x.y),
isfinite(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isfinite(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isfinite(x.x),
isfinite(x.y),
isfinite(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isfinite(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isfinite(x.x),
isfinite(x.y),
isfinite(x.z),
isfinite(x.w));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isfinite(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isfinite(x.x),
isfinite(x.y),
isfinite(x.z),
isfinite(x.w));
}
// isinf
template <typename genType>
GLM_FUNC_QUALIFIER bool isinf(
genType const & x)
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF;
#else
return std::isinf(x) != 0;
#endif
}
// isinf
template <typename genType>
GLM_FUNC_QUALIFIER bool isinf(
genType const & x)
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF;
#else
return std::isinf(x) != 0;
#endif
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isinf(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isinf(x.x),
isinf(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isinf(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isinf(x.x),
isinf(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isinf(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isinf(x.x),
isinf(x.y),
isinf(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isinf(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isinf(x.x),
isinf(x.y),
isinf(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isinf(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isinf(x.x),
isinf(x.y),
isinf(x.z),
isinf(x.w));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isinf(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isinf(x.x),
isinf(x.y),
isinf(x.z),
isinf(x.w));
}
// isnan
template <typename genType>
GLM_FUNC_QUALIFIER bool isnan(genType const & x)
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _isnan(x);
#else
return std::isnan(x) != 0;
#endif
}
// isnan
template <typename genType>
GLM_FUNC_QUALIFIER bool isnan(genType const & x)
{
#if(GLM_COMPILER & GLM_COMPILER_VC)
return _isnan(x);
#else
return std::isnan(x) != 0;
#endif
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isnan(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isnan(x.x),
isnan(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isnan(
detail::tvec2<valType> const & x)
{
return detail::tvec2<bool>(
isnan(x.x),
isnan(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isnan(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isnan(x.x),
isnan(x.y),
isnan(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isnan(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isnan(x.x),
isnan(x.y),
isnan(x.z),
isnan(x.w));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isnan(
detail::tvec3<valType> const & x)
{
return detail::tvec3<bool>(
isnan(x.x),
isnan(x.y),
isnan(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isnan(
detail::tvec4<valType> const & x)
{
return detail::tvec4<bool>(
isnan(x.x),
isnan(x.y),
isnan(x.z),
isnan(x.w));
}
}//namespace glm

67
glm/gtx/component_wise.inl
View file

@ -7,42 +7,41 @@
// File : gtx_component_wise.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compAdd(genType const & v)
namespace glm
{
typename genType::size_type result = typename genType::value_type(0);
for(typename genType::size_type i = 0; i < genType::value_size(); ++i)
result += v[i];
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compAdd(genType const & v)
{
typename genType::size_type result = typename genType::value_type(0);
for(typename genType::size_type i = 0; i < genType::value_size(); ++i)
result += v[i];
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMul(genType const & v)
{
typename genType::value_type result = typename genType::value_type(1);
for(typename genType::size_type i = 0; i < genType::value_size(); ++i)
result *= v[i];
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMul(genType const & v)
{
typename genType::value_type result = typename genType::value_type(1);
for(typename genType::size_type i = 0; i < genType::value_size(); ++i)
result *= v[i];
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMin(genType const & v)
{
typename genType::value_type result = typename genType::value_type(v[0]);
for(typename genType::size_type i = 1; i < genType::value_size(); ++i)
result = min(result, v[i]);
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMax(genType const & v)
{
typename genType::value_type result = typename genType::value_type(v[0]);
for(typename genType::size_type i = 1; i < genType::value_size(); ++i)
result = max(result, v[i]);
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMin(genType const & v)
{
typename genType::value_type result = typename genType::value_type(v[0]);
for(typename genType::size_type i = 1; i < genType::value_size(); ++i)
result = min(result, v[i]);
return result;
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type compMax(genType const & v)
{
typename genType::value_type result = typename genType::value_type(v[0]);
for(typename genType::size_type i = 1; i < genType::value_size(); ++i)
result = max(result, v[i]);
return result;
}
}//namespace glm

771
glm/gtx/constants.inl
View file

@ -20,773 +20,8 @@
/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
/// THE SOFTWARE.
///
/// @ref gtc_half_float
/// @file glm/gtc/half_float.inl
/// @date 2009-04-29 / 2011-06-05
/// @ref gtx_constants
/// @file glm/gtx/constants.inl
/// @date 2011-10-14 / 2011-10-14
/// @author Christophe Riccio
///////////////////////////////////////////////////////////////////////////////////
#include "../core/_detail.hpp"
namespace glm{
template <typename genIType>
GLM_FUNC_QUALIFIER genIType mask
(
genIType const & count
)
{
return ((genIType(1) << (count)) - genIType(1));
}
template <typename valIType>
GLM_FUNC_QUALIFIER detail::tvec2<valIType> mask
(
detail::tvec2<valIType> const & count
)
{
return detail::tvec2<valIType>(
mask(count[0]),
mask(count[1]));
}
template <typename valIType>
GLM_FUNC_QUALIFIER detail::tvec3<valIType> mask
(
detail::tvec3<valIType> const & count
)
{
return detail::tvec3<valIType>(
mask(count[0]),
mask(count[1]),
mask(count[2]));
}
template <typename valIType>
GLM_FUNC_QUALIFIER detail::tvec4<valIType> mask
(
detail::tvec4<valIType> const & count
)
{
return detail::tvec4<valIType>(
mask(count[0]),
mask(count[1]),
mask(count[2]),
mask(count[3]));
}
// extractField
template <typename genIType>
GLM_FUNC_QUALIFIER genIType extractField
(
half const & value,
genIType const & first,
genIType const & count
)
{
assert(first + count < sizeof(half));
return (value._data() << first) >> ((sizeof(half) << 3) - count);
}
template <typename genIType>
GLM_FUNC_QUALIFIER genIType extractField
(
float const & value,
genIType const & first,
genIType const & count
)
{
assert(first + count < sizeof(float));
return (detail::uif32(value).i << first) >> ((sizeof(float) << 3) - count);
}
template <typename genIType>
GLM_FUNC_QUALIFIER genIType extractField
(
double const & value,
genIType const & first,
genIType const & count
)
{
assert(first + count < sizeof(double));
return (detail::uif64(value).i << first) >> ((sizeof(double) << genIType(3)) - count);
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER genIUType extractField
(
genIUType const & Value,
sizeType const & First,
sizeType const & Count
)
{
sizeType GenSize = sizeof(genIUType) << 3;
assert(First + Count <= GenSize);
genIUType ShiftLeft = Count ? Value << (GenSize - (Count + First)) : 0;
genIUType ShiftBack = ShiftLeft >> genIUType(GenSize - Count);
return ShiftBack;
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField
(
detail::tvec2<genIUType> const & value,
sizeType const & first,
sizeType const & count
)
{
return detail::tvec2<genIUType>(
extractField(value[0], first, count),
extractField(value[1], first, count));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField
(
detail::tvec3<genIUType> const & value,
sizeType const & first,
sizeType const & count
)
{
return detail::tvec3<genIUType>(
extractField(value[0], first, count),
extractField(value[1], first, count),
extractField(value[2], first, count));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField
(
detail::tvec4<genIUType> const & value,
sizeType const & first,
sizeType const & count
)
{
return detail::tvec4<genIUType>(
extractField(value[0], first, count),
extractField(value[1], first, count),
extractField(value[2], first, count),
extractField(value[3], first, count));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField
(
detail::tvec2<genIUType> const & value,
detail::tvec2<sizeType> const & first,
detail::tvec2<sizeType> const & count
)
{
return detail::tvec2<genIUType>(
extractField(value[0], first[0], count[0]),
extractField(value[1], first[1], count[1]));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField
(
detail::tvec3<genIUType> const & value,
detail::tvec3<sizeType> const & first,
detail::tvec3<sizeType> const & count
)
{
return detail::tvec3<genIUType>(
extractField(value[0], first[0], count[0]),
extractField(value[1], first[1], count[1]),
extractField(value[2], first[2], count[2]));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField
(
detail::tvec4<genIUType> const & value,
detail::tvec4<sizeType> const & first,
detail::tvec4<sizeType> const & count
)
{
return detail::tvec4<genIUType>(
extractField(value[0], first[0], count[0]),
extractField(value[1], first[1], count[1]),
extractField(value[2], first[2], count[2]),
extractField(value[3], first[3], count[3]));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField
(
genIUType const & value,
detail::tvec2<sizeType> const & first,
detail::tvec2<sizeType> const & count
)
{
return detail::tvec2<genIUType>(
extractField(value, first[0], count[0]),
extractField(value, first[1], count[1]));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField
(
genIUType const & value,
detail::tvec3<sizeType> const & first,
detail::tvec3<sizeType> const & count
)
{
return detail::tvec3<genIUType>(
extractField(value, first[0], count[0]),
extractField(value, first[1], count[1]),
extractField(value, first[2], count[2]));
}
template <typename genIUType, typename sizeType>
GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField
(
genIUType const & value,
detail::tvec4<sizeType> const & first,
detail::tvec4<sizeType> const & count
)
{
return detail::tvec4<genIUType>(
extractField(value, first[0], count[0]),
extractField(value, first[1], count[1]),
extractField(value, first[2], count[2]),
extractField(value, first[3], count[3]));
}
// lowestBit
template <typename genType>
GLM_FUNC_QUALIFIER int lowestBit
(
genType const & Value
)
{
assert(Value != genType(0)); // not valid call
genType Bit;
for(Bit = genType(0); !(Value & (1 << Bit)); ++Bit){}
return Bit;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<int> lowestBit
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<int>(
lowestBit(value[0]),
lowestBit(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<int> lowestBit
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<int>(
lowestBit(value[0]),
lowestBit(value[1]),
lowestBit(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<int> lowestBit
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<int>(
lowestBit(value[0]),
lowestBit(value[1]),
lowestBit(value[2]),
lowestBit(value[3]));
}
// highestBit
template <typename genType>
GLM_FUNC_QUALIFIER int highestBit
(
genType const & value
)
{
assert(value != genType(0)); // not valid call
genType bit = genType(-1);
for(genType tmp = value; tmp; tmp >>= 1, ++bit){}
return bit;
}
//template <>
//GLM_FUNC_QUALIFIER int highestBit<int>
//(
// int value
//)
//{
// int bit = -1;
// for(int tmp = value; tmp; tmp >>= 1, ++bit);
// return bit;
//}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<int> highestBit
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<int>(
highestBit(value[0]),
highestBit(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<int> highestBit
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<int>(
highestBit(value[0]),
highestBit(value[1]),
highestBit(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<int> highestBit
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<int>(
highestBit(value[0]),
highestBit(value[1]),
highestBit(value[2]),
highestBit(value[3]));
}
// highestBitValue
template <typename genType>
GLM_FUNC_QUALIFIER genType highestBitValue
(
genType const & value
)
{
genType tmp = value;
genType result = genType(0);
while(tmp)
{
result = (tmp & (~tmp + 1)); // grab lowest bit
tmp &= ~result; // clear lowest bit
}
return result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<int> highestBitValue
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<int>(
highestBitValue(value[0]),
highestBitValue(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<int> highestBitValue
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<int>(
highestBitValue(value[0]),
highestBitValue(value[1]),
highestBitValue(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<int> highestBitValue
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<int>(
highestBitValue(value[0]),
highestBitValue(value[1]),
highestBitValue(value[2]),
highestBitValue(value[3]));
}
// isPowerOfTwo
template <typename genType>
GLM_FUNC_QUALIFIER bool isPowerOfTwo(genType const & Value)
{
//detail::If<std::numeric_limits<genType>::is_signed>::apply(abs, Value);
//return !(Value & (Value - 1));
// For old complier?
genType Result = Value;
if(std::numeric_limits<genType>::is_signed)
Result = abs(Result);
return !(Result & (Result - 1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isPowerOfTwo
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<bool>(
isPowerOfTwo(value[0]),
isPowerOfTwo(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isPowerOfTwo
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<bool>(
isPowerOfTwo(value[0]),
isPowerOfTwo(value[1]),
isPowerOfTwo(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isPowerOfTwo
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<bool>(
isPowerOfTwo(value[0]),
isPowerOfTwo(value[1]),
isPowerOfTwo(value[2]),
isPowerOfTwo(value[3]));
}
// powerOfTwoAbove
template <typename genType>
GLM_FUNC_QUALIFIER genType powerOfTwoAbove(genType const & value)
{
return isPowerOfTwo(value) ? value : highestBitValue(value) << 1;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> powerOfTwoAbove
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<valType>(
powerOfTwoAbove(value[0]),
powerOfTwoAbove(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> powerOfTwoAbove
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<valType>(
powerOfTwoAbove(value[0]),
powerOfTwoAbove(value[1]),
powerOfTwoAbove(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> powerOfTwoAbove
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<valType>(
powerOfTwoAbove(value[0]),
powerOfTwoAbove(value[1]),
powerOfTwoAbove(value[2]),
powerOfTwoAbove(value[3]));
}
// powerOfTwoBelow
template <typename genType>
GLM_FUNC_QUALIFIER genType powerOfTwoBelow
(
genType const & value
)
{
return isPowerOfTwo(value) ? value : highestBitValue(value);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> powerOfTwoBelow
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<valType>(
powerOfTwoBelow(value[0]),
powerOfTwoBelow(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> powerOfTwoBelow
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<valType>(
powerOfTwoBelow(value[0]),
powerOfTwoBelow(value[1]),
powerOfTwoBelow(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> powerOfTwoBelow
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<valType>(
powerOfTwoBelow(value[0]),
powerOfTwoBelow(value[1]),
powerOfTwoBelow(value[2]),
powerOfTwoBelow(value[3]));
}
// powerOfTwoNearest
template <typename genType>
GLM_FUNC_QUALIFIER genType powerOfTwoNearest
(
genType const & value
)
{
if(isPowerOfTwo(value))
return value;
genType prev = highestBitValue(value);
genType next = prev << 1;
return (next - value) < (value - prev) ? next : prev;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> powerOfTwoNearest
(
detail::tvec2<valType> const & value
)
{
return detail::tvec2<valType>(
powerOfTwoNearest(value[0]),
powerOfTwoNearest(value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> powerOfTwoNearest
(
detail::tvec3<valType> const & value
)
{
return detail::tvec3<valType>(
powerOfTwoNearest(value[0]),
powerOfTwoNearest(value[1]),
powerOfTwoNearest(value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> powerOfTwoNearest
(
detail::tvec4<valType> const & value
)
{
return detail::tvec4<valType>(
powerOfTwoNearest(value[0]),
powerOfTwoNearest(value[1]),
powerOfTwoNearest(value[2]),
powerOfTwoNearest(value[3]));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType bitRevert(genType const & In)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRevert' only accept integer values");
genType Out = 0;
std::size_t BitSize = sizeof(genType) * 8;
for(std::size_t i = 0; i < BitSize; ++i)
if(In & (genType(1) << i))
Out |= genType(1) << (BitSize - 1 - i);
return Out;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> bitRevert
(
detail::tvec2<valType> const & Value
)
{
return detail::tvec2<valType>(
bitRevert(Value[0]),
bitRevert(Value[1]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> bitRevert
(
detail::tvec3<valType> const & Value
)
{
return detail::tvec3<valType>(
bitRevert(Value[0]),
bitRevert(Value[1]),
bitRevert(Value[2]));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> bitRevert
(
detail::tvec4<valType> const & Value
)
{
return detail::tvec4<valType>(
bitRevert(Value[0]),
bitRevert(Value[1]),
bitRevert(Value[2]),
bitRevert(Value[3]));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType bitRotateRight(genType const & In, std::size_t Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRotateRight' only accept integer values");
std::size_t BitSize = sizeof(genType) * 8;
return (In << Shift) | (In >> (BitSize - Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> bitRotateRight
(
detail::tvec2<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec2<valType>(
bitRotateRight(Value[0], Shift),
bitRotateRight(Value[1], Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> bitRotateRight
(
detail::tvec3<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec3<valType>(
bitRotateRight(Value[0], Shift),
bitRotateRight(Value[1], Shift),
bitRotateRight(Value[2], Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> bitRotateRight
(
detail::tvec4<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec4<valType>(
bitRotateRight(Value[0], Shift),
bitRotateRight(Value[1], Shift),
bitRotateRight(Value[2], Shift),
bitRotateRight(Value[3], Shift));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType bitRotateLeft(genType const & In, std::size_t Shift)
{
GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRotateLeft' only accept integer values");
std::size_t BitSize = sizeof(genType) * 8;
return (In >> Shift) | (In << (BitSize - Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> bitRotateLeft
(
detail::tvec2<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec2<valType>(
bitRotateLeft(Value[0], Shift),
bitRotateLeft(Value[1], Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> bitRotateLeft
(
detail::tvec3<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec3<valType>(
bitRotateLeft(Value[0], Shift),
bitRotateLeft(Value[1], Shift),
bitRotateLeft(Value[2], Shift));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> bitRotateLeft
(
detail::tvec4<valType> const & Value,
std::size_t Shift
)
{
return detail::tvec4<valType>(
bitRotateLeft(Value[0], Shift),
bitRotateLeft(Value[1], Shift),
bitRotateLeft(Value[2], Shift),
bitRotateLeft(Value[3], Shift));
}
template <typename genIUType>
GLM_FUNC_QUALIFIER genIUType fillBitfieldWithOne
(
genIUType const & Value,
int const & FromBit,
int const & ToBit
)
{
assert(FromBit <= ToBit);
assert(ToBit <= sizeof(genIUType) * std::size_t(8));
genIUType Result = Value;
for(std::size_t i = 0; i <= ToBit; ++i)
Result |= (1 << i);
return Result;
}
template <typename genIUType>
GLM_FUNC_QUALIFIER genIUType fillBitfieldWithZero
(
genIUType const & Value,
int const & FromBit,
int const & ToBit
)
{
assert(FromBit <= ToBit);
assert(ToBit <= sizeof(genIUType) * std::size_t(8));
genIUType Result = Value;
for(std::size_t i = 0; i <= ToBit; ++i)
Result &= ~(1 << i);
return Result;
}
}//namespace glm

407
glm/gtx/epsilon.inl
View file

@ -7,224 +7,223 @@
// File : glm/gtx/epsilon.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER bool equalEpsilon
(
genType const & x,
genType const & y,
genType const & epsilon
)
namespace glm
{
return abs(x - y) < epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool equalEpsilon
(
genType const & x,
genType const & y,
genType const & epsilon
)
{
return abs(x - y) < epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool notEqualEpsilon
(
genType const & x,
genType const & y,
genType const & epsilon
)
{
return abs(x - y) >= epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool notEqualEpsilon
(
genType const & x,
genType const & y,
genType const & epsilon
)
{
return abs(x - y) >= epsilon;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> equalEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
valType const & epsilon)
{
return detail::tvec2<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> equalEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
valType const & epsilon)
{
return detail::tvec2<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> equalEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
valType const & epsilon)
{
return detail::tvec3<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon,
abs(x.z - y.z) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> equalEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
valType const & epsilon)
{
return detail::tvec3<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon,
abs(x.z - y.z) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
valType const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon,
abs(x.z - y.z) < epsilon,
abs(x.w - y.w) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
valType const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon,
abs(x.y - y.y) < epsilon,
abs(x.z - y.z) < epsilon,
abs(x.w - y.w) < epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> notEqualEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
valType const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> notEqualEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
valType const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> notEqualEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
valType const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon,
abs(x.z - y.z) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> notEqualEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
valType const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon,
abs(x.z - y.z) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
valType const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon,
abs(x.z - y.z) >= epsilon,
abs(x.w - y.w) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
valType const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon,
abs(x.y - y.y) >= epsilon,
abs(x.z - y.z) >= epsilon,
abs(x.w - y.w) >= epsilon);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> equalEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
detail::tvec2<valType> const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> equalEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
detail::tvec2<valType> const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> equalEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> equalEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
detail::tvec4<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z,
abs(x.w - y.w) < epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
detail::tvec4<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z,
abs(x.w - y.w) < epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tquat<valType> const & x,
detail::tquat<valType> const & y,
detail::tquat<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z,
abs(x.w - y.w) < epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> equalEpsilon
(
detail::tquat<valType> const & x,
detail::tquat<valType> const & y,
detail::tquat<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) < epsilon.x,
abs(x.y - y.y) < epsilon.y,
abs(x.z - y.z) < epsilon.z,
abs(x.w - y.w) < epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> notEqualEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
detail::tvec2<valType> const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<bool> notEqualEpsilon
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y,
detail::tvec2<valType> const & epsilon
)
{
return detail::tvec2<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> notEqualEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<bool> notEqualEpsilon
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & epsilon
)
{
return detail::tvec3<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
detail::tvec4<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z,
abs(x.w - y.w) >= epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tquat<valType> const & x,
detail::tquat<valType> const & y,
detail::tquat<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z,
abs(x.w - y.w) >= epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y,
detail::tvec4<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z,
abs(x.w - y.w) >= epsilon.w);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<bool> notEqualEpsilon
(
detail::tquat<valType> const & x,
detail::tquat<valType> const & y,
detail::tquat<valType> const & epsilon
)
{
return detail::tvec4<bool>(
abs(x.x - y.x) >= epsilon.x,
abs(x.y - y.y) >= epsilon.y,
abs(x.z - y.z) >= epsilon.z,
abs(x.w - y.w) >= epsilon.w);
}
}//namespace glm

425
glm/gtx/euler_angles.inl
View file

@ -7,239 +7,238 @@
// File : glm/gtx/euler_angles.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleX
(
valType const & angleX
)
namespace glm
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleX
(
valType const & angleX
)
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
return detail::tmat4x4<valType>(
valType(1), valType(0), valType(0), valType(0),
valType(0), cosX, sinX, valType(0),
valType(0),-sinX, cosX, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
return detail::tmat4x4<valType>(
valType(1), valType(0), valType(0), valType(0),
valType(0), cosX, sinX, valType(0),
valType(0),-sinX, cosX, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleY
(
valType const & angleY
)
{
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleY
(
valType const & angleY
)
{
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
return detail::tmat4x4<valType>(
cosY, valType(0), sinY, valType(0),
valType(0), valType(1), valType(0), valType(0),
-sinY, valType(0), cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
return detail::tmat4x4<valType>(
cosY, valType(0), sinY, valType(0),
valType(0), valType(1), valType(0), valType(0),
-sinY, valType(0), cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleZ
(
valType const & angleZ
)
{
valType cosZ = glm::cos(angleZ);
valType sinZ = glm::sin(angleZ);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleZ
(
valType const & angleZ
)
{
valType cosZ = glm::cos(angleZ);
valType sinZ = glm::sin(angleZ);
return detail::tmat4x4<valType>(
cosZ, sinZ, valType(0), valType(0),
-sinZ, cosZ, valType(0), valType(0),
valType(0), valType(0), valType(1), valType(0),
valType(0), valType(0), valType(0), valType(1));
}
return detail::tmat4x4<valType>(
cosZ, sinZ, valType(0), valType(0),
-sinZ, cosZ, valType(0), valType(0),
valType(0), valType(0), valType(1), valType(0),
valType(0), valType(0), valType(0), valType(1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleXY
(
valType const & angleX,
valType const & angleY
)
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleXY
(
valType const & angleX,
valType const & angleY
)
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
return detail::tmat4x4<valType>(
cosY, -sinX * sinY, cosX * sinY, valType(0),
valType(0), cosX, sinX, valType(0),
-sinY , -sinX * cosY, cosX * cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
return detail::tmat4x4<valType>(
cosY, -sinX * sinY, cosX * sinY, valType(0),
valType(0), cosX, sinX, valType(0),
-sinY , -sinX * cosY, cosX * cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleYX
(
valType const & angleY,
valType const & angleX
)
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleYX
(
valType const & angleY,
valType const & angleX
)
{
valType cosX = glm::cos(angleX);
valType sinX = glm::sin(angleX);
valType cosY = glm::cos(angleY);
valType sinY = glm::sin(angleY);
return detail::tmat4x4<valType>(
cosY, valType(0), sinY, valType(0),
-sinX * sinY, cosX, sinX * cosY, valType(0),
-cosX * sinY, -sinX, cosX * cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
return detail::tmat4x4<valType>(
cosY, valType(0), sinY, valType(0),
-sinX * sinY, cosX, sinX * cosY, valType(0),
-cosX * sinY, -sinX, cosX * cosY, valType(0),
valType(0), valType(0), valType(0), valType(1));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleXZ
(
valType const & angleX,
valType const & angleZ
)
{
return eulerAngleX(angleX) * eulerAngleZ(angleZ);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleXZ
(
valType const & angleX,
valType const & angleZ
)
{
return eulerAngleX(angleX) * eulerAngleZ(angleZ);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleZX
(
valType const & angleZ,
valType const & angleX
)
{
return eulerAngleZ(angleZ) * eulerAngleX(angleX);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleZX
(
valType const & angleZ,
valType const & angleX
)
{
return eulerAngleZ(angleZ) * eulerAngleX(angleX);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleYXZ
(
valType const & yaw,
valType const & pitch,
valType const & roll
)
{
valType tmp_ch = glm::cos(yaw);
valType tmp_sh = glm::sin(yaw);
valType tmp_cp = glm::cos(pitch);
valType tmp_sp = glm::sin(pitch);
valType tmp_cb = glm::cos(roll);
valType tmp_sb = glm::sin(roll);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> eulerAngleYXZ
(
valType const & yaw,
valType const & pitch,
valType const & roll
)
{
valType tmp_ch = glm::cos(yaw);
valType tmp_sh = glm::sin(yaw);
valType tmp_cp = glm::cos(pitch);
valType tmp_sp = glm::sin(pitch);
valType tmp_cb = glm::cos(roll);
valType tmp_sb = glm::sin(roll);
detail::tmat4x4<valType> Result;
Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
Result[0][1] = tmp_sb * tmp_cp;
Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
Result[0][3] = valType(0);
Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
Result[1][1] = tmp_cb * tmp_cp;
Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
Result[1][3] = valType(0);
Result[2][0] = tmp_sh * tmp_cp;
Result[2][1] = -tmp_sp;
Result[2][2] = tmp_ch * tmp_cp;
Result[2][3] = valType(0);
Result[3][0] = valType(0);
Result[3][1] = valType(0);
Result[3][2] = valType(0);
Result[3][3] = valType(1);
return Result;
}
detail::tmat4x4<valType> Result;
Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
Result[0][1] = tmp_sb * tmp_cp;
Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
Result[0][3] = valType(0);
Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
Result[1][1] = tmp_cb * tmp_cp;
Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
Result[1][3] = valType(0);
Result[2][0] = tmp_sh * tmp_cp;
Result[2][1] = -tmp_sp;
Result[2][2] = tmp_ch * tmp_cp;
Result[2][3] = valType(0);
Result[3][0] = valType(0);
Result[3][1] = valType(0);
Result[3][2] = valType(0);
Result[3][3] = valType(1);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> yawPitchRoll
(
valType const & yaw,
valType const & pitch,
valType const & roll
)
{
valType tmp_ch = glm::cos(yaw);
valType tmp_sh = glm::sin(yaw);
valType tmp_cp = glm::cos(pitch);
valType tmp_sp = glm::sin(pitch);
valType tmp_cb = glm::cos(roll);
valType tmp_sb = glm::sin(roll);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> yawPitchRoll
(
valType const & yaw,
valType const & pitch,
valType const & roll
)
{
valType tmp_ch = glm::cos(yaw);
valType tmp_sh = glm::sin(yaw);
valType tmp_cp = glm::cos(pitch);
valType tmp_sp = glm::sin(pitch);
valType tmp_cb = glm::cos(roll);
valType tmp_sb = glm::sin(roll);
detail::tmat4x4<valType> Result;
Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
Result[0][1] = tmp_sb * tmp_cp;
Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
Result[0][3] = valType(0);
Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
Result[1][1] = tmp_cb * tmp_cp;
Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
Result[1][3] = valType(0);
Result[2][0] = tmp_sh * tmp_cp;
Result[2][1] = -tmp_sp;
Result[2][2] = tmp_ch * tmp_cp;
Result[2][3] = valType(0);
Result[3][0] = valType(0);
Result[3][1] = valType(0);
Result[3][2] = valType(0);
Result[3][3] = valType(1);
return Result;
}
detail::tmat4x4<valType> Result;
Result[0][0] = tmp_ch * tmp_cb + tmp_sh * tmp_sp * tmp_sb;
Result[0][1] = tmp_sb * tmp_cp;
Result[0][2] = -tmp_sh * tmp_cb + tmp_ch * tmp_sp * tmp_sb;
Result[0][3] = valType(0);
Result[1][0] = -tmp_ch * tmp_sb + tmp_sh * tmp_sp * tmp_cb;
Result[1][1] = tmp_cb * tmp_cp;
Result[1][2] = tmp_sb * tmp_sh + tmp_ch * tmp_sp * tmp_cb;
Result[1][3] = valType(0);
Result[2][0] = tmp_sh * tmp_cp;
Result[2][1] = -tmp_sp;
Result[2][2] = tmp_ch * tmp_cp;
Result[2][3] = valType(0);
Result[3][0] = valType(0);
Result[3][1] = valType(0);
Result[3][2] = valType(0);
Result[3][3] = valType(1);
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> orientate2
(
valType const & angle
)
{
valType c = glm::cos(angle);
valType s = glm::sin(angle);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> orientate2
(
valType const & angle
)
{
valType c = glm::cos(angle);
valType s = glm::sin(angle);
detail::tmat2x2<valType> Result;
Result[0][0] = c;
Result[0][1] = s;
Result[1][0] = -s;
Result[1][1] = c;
return Result;
}
detail::tmat2x2<valType> Result;
Result[0][0] = c;
Result[0][1] = s;
Result[1][0] = -s;
Result[1][1] = c;
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> orientate3
(
valType const & angle
)
{
valType c = glm::cos(angle);
valType s = glm::sin(angle);
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> orientate3
(
valType const & angle
)
{
valType c = glm::cos(angle);
valType s = glm::sin(angle);
detail::tmat3x3<valType> Result;
Result[0][0] = c;
Result[0][1] = s;
Result[0][2] = 0.0f;
Result[1][0] = -s;
Result[1][1] = c;
Result[1][2] = 0.0f;
Result[2][0] = 0.0f;
Result[2][1] = 0.0f;
Result[2][2] = 1.0f;
return Result;
}
detail::tmat3x3<valType> Result;
Result[0][0] = c;
Result[0][1] = s;
Result[0][2] = 0.0f;
Result[1][0] = -s;
Result[1][1] = c;
Result[1][2] = 0.0f;
Result[2][0] = 0.0f;
Result[2][1] = 0.0f;
Result[2][2] = 1.0f;
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> orientate3
(
detail::tvec3<valType> const & angles
)
{
return detail::tmat3x3<valType>(yawPitchRoll(angles.x, angles.y, angles.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> orientate4
(
detail::tvec3<valType> const & angles
)
{
return yawPitchRoll(angles.z, angles.x, angles.y);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> orientate3
(
detail::tvec3<valType> const & angles
)
{
return detail::tmat3x3<valType>(yawPitchRoll(angles.x, angles.y, angles.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> orientate4
(
detail::tvec3<valType> const & angles
)
{
return yawPitchRoll(angles.z, angles.x, angles.y);
}
}//namespace glm

83
glm/gtx/extend.inl
View file

@ -7,50 +7,49 @@
// File : glm/gtx/extend.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
genType extend
(
genType const & Origin,
genType const & Source,
genType const & Distance
)
namespace glm
{
return Origin + (Source - Origin) * Distance;
}
template <typename genType>
genType extend
(
genType const & Origin,
genType const & Source,
genType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec2<valType> extend
(
detail::tvec2<valType> const & Origin,
detail::tvec2<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec2<valType> extend
(
detail::tvec2<valType> const & Origin,
detail::tvec2<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec3<valType> extend
(
detail::tvec3<valType> const & Origin,
detail::tvec3<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec4<valType> extend
(
detail::tvec4<valType> const & Origin,
detail::tvec4<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec3<valType> extend
(
detail::tvec3<valType> const & Origin,
detail::tvec3<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
template <typename valType>
detail::tvec4<valType> extend
(
detail::tvec4<valType> const & Origin,
detail::tvec4<valType> const & Source,
valType const & Distance
)
{
return Origin + (Source - Origin) * Distance;
}
}//namespace glm

16
glm/gtx/fast_exponential.hpp
View file

@ -54,17 +54,17 @@ namespace glm
//! Faster than the common pow function but less accurate.
//! From GLM_GTX_fast_exponential extension.
template <typename valType>
valType fastPow(
valType const & x,
valType const & y);
template <typename genType>
genType fastPow(
genType const & x,
genType const & y);
//! Faster than the common pow function but less accurate.
//! From GLM_GTX_fast_exponential extension.
template <typename T, typename U>
T fastPow(
const T& x,
const U& y);
template <typename genTypeT, typename genTypeU>
genTypeT fastPow(
genTypeT const & x,
genTypeU const & y);
//! Faster than the common exp function but less accurate.
//! From GLM_GTX_fast_exponential extension.

380
glm/gtx/fast_exponential.inl
View file

@ -7,284 +7,144 @@
// File : glm/gtx/fast_exponential.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
// fastPow:
template <typename T>
GLM_FUNC_QUALIFIER T fastPow(const T x, const T y)
namespace glm
{
return exp(y * log(x));
}
// fastPow:
template <typename genType>
GLM_FUNC_QUALIFIER genType fastPow(genType const & x, genType const & y)
{
return exp(y * log(x));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastPow(
const detail::tvec2<T>& x,
const detail::tvec2<T>& y)
{
return detail::tvec2<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y));
}
VECTORIZE_VEC_VEC(fastPow)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastPow(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y)
{
return detail::tvec3<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER T fastPow(const T x, int y)
{
T f = T(1);
for(int i = 0; i < y; ++i)
f *= x;
return f;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastPow(
const detail::tvec4<T>& x,
const detail::tvec4<T>& y)
{
return detail::tvec4<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z),
fastPow(x.w, y.w));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastPow(
const detail::tvec2<T>& x,
const detail::tvec2<int>& y)
{
return detail::tvec2<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER T fastPow(const T x, int y)
{
T f = T(1);
for(int i = 0; i < y; ++i)
f *= x;
return f;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastPow(
const detail::tvec3<T>& x,
const detail::tvec3<int>& y)
{
return detail::tvec3<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastPow(
const detail::tvec2<T>& x,
const detail::tvec2<int>& y)
{
return detail::tvec2<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastPow(
const detail::tvec4<T>& x,
const detail::tvec4<int>& y)
{
return detail::tvec4<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z),
fastPow(x.w, y.w));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastPow(
const detail::tvec3<T>& x,
const detail::tvec3<int>& y)
{
return detail::tvec3<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z));
}
// fastExp
// Note: This function provides accurate results only for value between -1 and 1, else avoid it.
template <typename T>
GLM_FUNC_QUALIFIER T fastExp(const T x)
{
// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
T x2 = x * x;
T x3 = x2 * x;
T x4 = x3 * x;
T x5 = x4 * x;
return T(1) + x + (x2 * T(0.5)) + (x3 * T(0.1666666667)) + (x4 * T(0.041666667)) + (x5 * T(0.008333333333));
}
/* // Try to handle all values of float... but often shower than std::exp, glm::floor and the loop kill the performance
GLM_FUNC_QUALIFIER float fastExp(float x)
{
const float e = 2.718281828f;
const float IntegerPart = floor(x);
const float FloatPart = x - IntegerPart;
float z = 1.f;
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastPow(
const detail::tvec4<T>& x,
const detail::tvec4<int>& y)
{
return detail::tvec4<T>(
fastPow(x.x, y.x),
fastPow(x.y, y.y),
fastPow(x.z, y.z),
fastPow(x.w, y.w));
}
for(int i = 0; i < int(IntegerPart); ++i)
z *= e;
// fastExp
// Note: This function provides accurate results only for value between -1 and 1, else avoid it.
template <typename T>
GLM_FUNC_QUALIFIER T fastExp(const T x)
{
// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
T x2 = x * x;
T x3 = x2 * x;
T x4 = x3 * x;
T x5 = x4 * x;
return T(1) + x + (x2 * T(0.5)) + (x3 * T(0.1666666667)) + (x4 * T(0.041666667)) + (x5 * T(0.008333333333));
}
/* // Try to handle all values of float... but often shower than std::exp, glm::floor and the loop kill the performance
GLM_FUNC_QUALIFIER float fastExp(float x)
{
const float e = 2.718281828f;
const float IntegerPart = floor(x);
const float FloatPart = x - IntegerPart;
float z = 1.f;
const float x2 = FloatPart * FloatPart;
const float x3 = x2 * FloatPart;
const float x4 = x3 * FloatPart;
const float x5 = x4 * FloatPart;
return z * (1.0f + FloatPart + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f));
}
for(int i = 0; i < int(IntegerPart); ++i)
z *= e;
// Increase accuracy on number bigger that 1 and smaller than -1 but it's not enough for high and negative numbers
GLM_FUNC_QUALIFIER float fastExp(float x)
{
// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
float x2 = x * x;
float x3 = x2 * x;
float x4 = x3 * x;
float x5 = x4 * x;
float x6 = x5 * x;
float x7 = x6 * x;
float x8 = x7 * x;
return 1.0f + x + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f)+ (x6 * 0.00138888888888f) + (x7 * 0.000198412698f) + (x8 * 0.0000248015873f);;
}
*/
const float x2 = FloatPart * FloatPart;
const float x3 = x2 * FloatPart;
const float x4 = x3 * FloatPart;
const float x5 = x4 * FloatPart;
return z * (1.0f + FloatPart + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f));
}
VECTORIZE_VEC(fastExp)
// Increase accuracy on number bigger that 1 and smaller than -1 but it's not enough for high and negative numbers
GLM_FUNC_QUALIFIER float fastExp(float x)
{
// This has a better looking and same performance in release mode than the following code. However, in debug mode it's slower.
// return 1.0f + x * (1.0f + x * 0.5f * (1.0f + x * 0.3333333333f * (1.0f + x * 0.25 * (1.0f + x * 0.2f))));
float x2 = x * x;
float x3 = x2 * x;
float x4 = x3 * x;
float x5 = x4 * x;
float x6 = x5 * x;
float x7 = x6 * x;
float x8 = x7 * x;
return 1.0f + x + (x2 * 0.5f) + (x3 * 0.1666666667f) + (x4 * 0.041666667f) + (x5 * 0.008333333333f)+ (x6 * 0.00138888888888f) + (x7 * 0.000198412698f) + (x8 * 0.0000248015873f);;
}
*/
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastExp(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastExp(x.x),
fastExp(x.y));
}
// fastLog
template <typename genType>
GLM_FUNC_QUALIFIER genType fastLog(genType const & x)
{
return std::log(x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastExp(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastExp(x.x),
fastExp(x.y),
fastExp(x.z));
}
/* Slower than the VC7.1 function...
GLM_FUNC_QUALIFIER float fastLog(float x)
{
float y1 = (x - 1.0f) / (x + 1.0f);
float y2 = y1 * y1;
return 2.0f * y1 * (1.0f + y2 * (0.3333333333f + y2 * (0.2f + y2 * 0.1428571429f)));
}
*/
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastExp(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastExp(x.x),
fastExp(x.y),
fastExp(x.z),
fastExp(x.w));
}
VECTORIZE_VEC(fastLog)
// fastLog
template <typename T>
GLM_FUNC_QUALIFIER T fastLog(const T x)
{
return std::log(x);
}
//fastExp2, ln2 = 0.69314718055994530941723212145818f
template <typename genType>
GLM_FUNC_QUALIFIER genType fastExp2(genType const & x)
{
return fastExp(0.69314718055994530941723212145818f * x);
}
/* Slower than the VC7.1 function...
GLM_FUNC_QUALIFIER float fastLog(float x)
{
float y1 = (x - 1.0f) / (x + 1.0f);
float y2 = y1 * y1;
return 2.0f * y1 * (1.0f + y2 * (0.3333333333f + y2 * (0.2f + y2 * 0.1428571429f)));
}
*/
VECTORIZE_VEC(fastExp2)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastLog(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastLog(x.x),
fastLog(x.y));
}
// fastLog2, ln2 = 0.69314718055994530941723212145818f
template <typename genType>
GLM_FUNC_QUALIFIER genType fastLog2(genType const & x)
{
return fastLog(x) / 0.69314718055994530941723212145818f;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastLog(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastLog(x.x),
fastLog(x.y),
fastLog(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastLog(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastLog(x.x),
fastLog(x.y),
fastLog(x.z),
fastLog(x.w));
}
//fastExp2, ln2 = 0.69314718055994530941723212145818f
template <typename T>
GLM_FUNC_QUALIFIER T fastExp2(const T x)
{
return fastExp(0.69314718055994530941723212145818f * x);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastExp2(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastExp2(x.x),
fastExp2(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastExp2(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastExp2(x.x),
fastExp2(x.y),
fastExp2(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastExp2(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastExp2(x.x),
fastExp2(x.y),
fastExp2(x.z),
fastExp2(x.w));
}
// fastLog2, ln2 = 0.69314718055994530941723212145818f
template <typename T>
GLM_FUNC_QUALIFIER T fastLog2(const T x)
{
return fastLog(x) / 0.69314718055994530941723212145818f;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastLog2(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastLog2(x.x),
fastLog2(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastLog2(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastLog2(x.x),
fastLog2(x.y),
fastLog2(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastLog2(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastLog2(x.x),
fastLog2(x.y),
fastLog2(x.z),
fastLog2(x.w));
}
VECTORIZE_VEC(fastLog2)
}//namespace glm

323
glm/gtx/fast_square_root.inl
View file

@ -2,232 +2,137 @@
// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2006-01-04
// Updated : 2008-10-07
// Updated : 2011-10-14
// Licence : This source is under MIT License
// File : glm/gtx/fast_square_root.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
// fastSqrt
template <typename genType>
GLM_FUNC_QUALIFIER genType fastSqrt
(
genType const & x
)
namespace glm
{
return genType(1) / fastInverseSqrt(x);
}
// fastSqrt
template <typename genType>
GLM_FUNC_QUALIFIER genType fastSqrt
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'fastSqrt' only accept floating-point input");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> fastSqrt
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
fastSqrt(x.x),
fastSqrt(x.y));
}
return genType(1) / fastInverseSqrt(x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> fastSqrt
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
fastSqrt(x.x),
fastSqrt(x.y),
fastSqrt(x.z));
}
VECTORIZE_VEC(fastSqrt)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> fastSqrt
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
fastSqrt(x.x),
fastSqrt(x.y),
fastSqrt(x.z),
fastSqrt(x.w));
}
// fastInversesqrt
template <typename genType>
GLM_FUNC_QUALIFIER genType fastInverseSqrt
(
genType const & x
)
{
genType tmp = x;
float xhalf = 0.5f * float(tmp);
uint i = *(uint*)&x;
i = 0x5f375a86 - (i >> 1);
//x = *(float*)&i;
//x = *((float*)(char*)&i);
tmp = detail::uif(i).f;
tmp = tmp * (1.5f - xhalf * tmp * tmp);
return genType(tmp);
}
// fastInversesqrt
template <typename genType>
GLM_FUNC_QUALIFIER genType fastInverseSqrt
(
genType const & x
)
{
genType tmp = x;
float xhalf = 0.5f * float(tmp);
uint i = *(uint*)&x;
i = 0x5f375a86 - (i >> 1);
//x = *(float*)&i;
//x = *((float*)(char*)&i);
tmp = detail::uif(i).f;
tmp = tmp * (1.5f - xhalf * tmp * tmp);
return genType(tmp);
}
VECTORIZE_VEC(fastInverseSqrt)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> fastInverseSqrt
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
fastInverseSqrt(x.x),
fastInverseSqrt(x.y));
}
// fastLength
template <typename genType>
GLM_FUNC_QUALIFIER genType fastLength
(
genType const & x
)
{
return abs(x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> fastInverseSqrt
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
fastInverseSqrt(x.x),
fastInverseSqrt(x.y),
fastInverseSqrt(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec2<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y;
return fastSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> fastInverseSqrt
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
fastInverseSqrt(x.x),
fastInverseSqrt(x.y),
fastInverseSqrt(x.z),
fastInverseSqrt(x.w));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec3<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
return fastSqrt(sqr);
}
// fastLength
template <typename genType>
GLM_FUNC_QUALIFIER genType fastLength
(
genType const & x
)
{
return abs(x);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec4<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
return fastSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec2<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y;
return fastSqrt(sqr);
}
// fastDistance
template <typename genType>
GLM_FUNC_QUALIFIER genType fastDistance
(
genType const & x,
genType const & y
)
{
return fastLength(y - x);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec3<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
return fastSqrt(sqr);
}
// fastNormalize
template <typename genType>
GLM_FUNC_QUALIFIER genType fastNormalize
(
genType const & x
)
{
return x > genType(0) ? genType(1) : -genType(1);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastLength
(
detail::tvec4<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
return fastSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> fastNormalize
(
detail::tvec2<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y;
return x * fastInverseSqrt(sqr);
}
// fastDistance
template <typename genType>
GLM_FUNC_QUALIFIER genType fastDistance
(
genType const & x,
genType const & y
)
{
return fastLength(y - x);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastDistance
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
return fastLength(y - x);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastDistance
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
)
{
return fastLength(y - x);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastDistance
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
)
{
return fastLength(y - x);
}
// fastNormalize
template <typename genType>
GLM_FUNC_QUALIFIER genType fastNormalize
(
genType const & x
)
{
return x > genType(0) ? genType(1) : -genType(1);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> fastNormalize
(
detail::tvec2<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y;
return x * fastInverseSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> fastNormalize
(
detail::tvec3<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
return x * fastInverseSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> fastNormalize
(
detail::tvec4<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
return x * fastInverseSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> fastNormalize
(
detail::tvec3<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z;
return x * fastInverseSqrt(sqr);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> fastNormalize
(
detail::tvec4<valType> const & x
)
{
valType sqr = x.x * x.x + x.y * x.y + x.z * x.z + x.w * x.w;
return x * fastInverseSqrt(sqr);
}
}//namespace glm

295
glm/gtx/fast_trigonometry.inl
View file

@ -2,267 +2,76 @@
// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2006-01-08
// Updated : 2006-01-08
// Updated : 2011-10-14
// Licence : This source is under MIT License
// File : glm/gtx/fast_trigonometry.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
// sin
template <typename T>
GLM_FUNC_QUALIFIER T fastSin(const T x)
namespace glm
{
return x - ((x * x * x) / T(6)) + ((x * x * x * x * x) / T(120)) - ((x * x * x * x * x * x * x) / T(5040));
}
// sin
template <typename T>
GLM_FUNC_QUALIFIER T fastSin(T const & x)
{
return x - ((x * x * x) / T(6)) + ((x * x * x * x * x) / T(120)) - ((x * x * x * x * x * x * x) / T(5040));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastSin(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastSin(x.x),
fastSin(x.y));
}
VECTORIZE_VEC(fastSin)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastSin(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastSin(x.x),
fastSin(x.y),
fastSin(x.z));
}
// cos
template <typename T>
GLM_FUNC_QUALIFIER T fastCos(T const & x)
{
return T(1) - (x * x * T(0.5)) + (x * x * x * x * T(0.041666666666)) - (x * x * x * x * x * x * T(0.00138888888888));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastSin(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastSin(x.x),
fastSin(x.y),
fastSin(x.z),
fastSin(x.w));
}
VECTORIZE_VEC(fastCos)
// cos
template <typename T>
GLM_FUNC_QUALIFIER T fastCos(const T x)
{
return T(1) - (x * x * T(0.5)) + (x * x * x * x * T(0.041666666666)) - (x * x * x * x * x * x * T(0.00138888888888));
}
// tan
template <typename T>
GLM_FUNC_QUALIFIER T fastTan(T const & x)
{
return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastCos(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastCos(x.x),
fastCos(x.y));
}
VECTORIZE_VEC(fastTan)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastCos(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastCos(x.x),
fastCos(x.y),
fastCos(x.z));
}
// asin
template <typename T>
GLM_FUNC_QUALIFIER T fastAsin(T const & x)
{
return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastCos(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastCos(x.x),
fastCos(x.y),
fastCos(x.z),
fastCos(x.w));
}
VECTORIZE_VEC(fastAsin)
// tan
template <typename T>
GLM_FUNC_QUALIFIER T fastTan(const T x)
{
return x + (x * x * x * T(0.3333333333)) + (x * x * x * x * x * T(0.1333333333333)) + (x * x * x * x * x * x * x * T(0.0539682539));
}
// acos
template <typename T>
GLM_FUNC_QUALIFIER T fastAcos(T const & x)
{
return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2)
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastTan(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastTan(x.x),
fastTan(x.y));
}
VECTORIZE_VEC(fastAcos)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastTan(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastTan(x.x),
fastTan(x.y),
fastTan(x.z));
}
// atan
template <typename T>
GLM_FUNC_QUALIFIER T fastAtan(T const & y, T const & x)
{
T sgn = sign(y) * sign(x);
return abs(fastAtan(y / x)) * sgn;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastTan(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastTan(x.x),
fastTan(x.y),
fastTan(x.z),
fastTan(x.w));
}
VECTORIZE_VEC_VEC(fastAtan)
// asin
template <typename T>
GLM_FUNC_QUALIFIER T fastAsin(const T x)
{
return x + (x * x * x * T(0.166666667)) + (x * x * x * x * x * T(0.075)) + (x * x * x * x * x * x * x * T(0.0446428571)) + (x * x * x * x * x * x * x * x * x * T(0.0303819444));// + (x * x * x * x * x * x * x * x * x * x * x * T(0.022372159));
}
template <typename T>
GLM_FUNC_QUALIFIER T fastAtan(T const & x)
{
return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909));
}
template <typename T> detail::tvec2<T> fastAsin(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastAsin(x.x),
fastAsin(x.y));
}
template <typename T> detail::tvec3<T> fastAsin(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastAsin(x.x),
fastAsin(x.y),
fastAsin(x.z));
}
template <typename T> detail::tvec4<T> fastAsin(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastAsin(x.x),
fastAsin(x.y),
fastAsin(x.z),
fastAsin(x.w));
}
// acos
template <typename T>
GLM_FUNC_QUALIFIER T fastAcos(const T x)
{
return T(1.5707963267948966192313216916398) - fastAsin(x); //(PI / 2)
}
template <typename T> detail::tvec2<T> fastAcos(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastAcos(x.x),
fastAcos(x.y));
}
template <typename T> detail::tvec3<T> fastAcos(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastAcos(x.x),
fastAcos(x.y),
fastAcos(x.z));
}
template <typename T> detail::tvec4<T> fastAcos(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastAcos(x.x),
fastAcos(x.y),
fastAcos(x.z),
fastAcos(x.w));
}
// atan
template <typename T>
GLM_FUNC_QUALIFIER T fastAtan(const T y, const T x)
{
T sgn = sign(y) * sign(x);
return abs(fastAtan(y / x)) * sgn;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastAtan(
const detail::tvec2<T>& y,
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastAtan(y.x, x.x),
fastAtan(y.y, x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastAtan(
const detail::tvec3<T>& y,
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastAtan(y.x, x.x),
fastAtan(y.y, x.y),
fastAtan(y.z, x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastAtan(
const detail::tvec4<T>& y,
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastAtan(y.x, x.x),
fastAtan(y.y, x.y),
fastAtan(y.z, x.z),
fastAtan(y.w, x.w));
}
template <typename T>
GLM_FUNC_QUALIFIER T fastAtan(const T x)
{
return x - (x * x * x * T(0.333333333333)) + (x * x * x * x * x * T(0.2)) - (x * x * x * x * x * x * x * T(0.1428571429)) + (x * x * x * x * x * x * x * x * x * T(0.111111111111)) - (x * x * x * x * x * x * x * x * x * x * x * T(0.0909090909));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> fastAtan(
const detail::tvec2<T>& x)
{
return detail::tvec2<T>(
fastAtan(x.x),
fastAtan(x.y));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> fastAtan(
const detail::tvec3<T>& x)
{
return detail::tvec3<T>(
fastAtan(x.x),
fastAtan(x.y),
fastAtan(x.z));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> fastAtan(
const detail::tvec4<T>& x)
{
return detail::tvec4<T>(
fastAtan(x.x),
fastAtan(x.y),
fastAtan(x.z),
fastAtan(x.w));
}
VECTORIZE_VEC(fastAtan)
}//namespace glm

61
glm/gtx/gradient_paint.inl
View file

@ -7,38 +7,37 @@
// File : glm/gtx/gradient_paint.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
valType radialGradient
(
detail::tvec2<valType> const & Center,
valType const & Radius,
detail::tvec2<valType> const & Focal,
detail::tvec2<valType> const & Position
)
namespace glm
{
detail::tvec2<valType> F = Focal - Center;
detail::tvec2<valType> D = Position - Focal;
valType Radius2 = pow2(Radius);
valType Fx2 = pow2(F.x);
valType Fy2 = pow2(F.y);
template <typename valType>
valType radialGradient
(
detail::tvec2<valType> const & Center,
valType const & Radius,
detail::tvec2<valType> const & Focal,
detail::tvec2<valType> const & Position
)
{
detail::tvec2<valType> F = Focal - Center;
detail::tvec2<valType> D = Position - Focal;
valType Radius2 = pow2(Radius);
valType Fx2 = pow2(F.x);
valType Fy2 = pow2(F.y);
valType Numerator = (D.x * F.x + D.y * F.y) + sqrt(Radius2 * (pow2(D.x) + pow2(D.y)) - pow2(D.x * F.y - D.y * F.x));
valType Denominator = Radius2 - (Fx2 + Fy2);
return Numerator / Denominator;
}
template <typename valType>
valType linearGradient
(
detail::tvec2<valType> const & Point0,
detail::tvec2<valType> const & Point1,
detail::tvec2<valType> const & Position
)
{
detail::tvec2<valType> Dist = Point1 - Point0;
return (Dist.x * (Position.x - Point0.x) + Dist.y * (Position.y - Point0.y)) / glm::dot(Dist, Dist);
}
valType Numerator = (D.x * F.x + D.y * F.y) + sqrt(Radius2 * (pow2(D.x) + pow2(D.y)) - pow2(D.x * F.y - D.y * F.x));
valType Denominator = Radius2 - (Fx2 + Fy2);
return Numerator / Denominator;
}
template <typename valType>
valType linearGradient
(
detail::tvec2<valType> const & Point0,
detail::tvec2<valType> const & Point1,
detail::tvec2<valType> const & Position
)
{
detail::tvec2<valType> Dist = Point1 - Point0;
return (Dist.x * (Position.x - Point0.x) + Dist.y * (Position.y - Point0.y)) / glm::dot(Dist, Dist);
}
}//namespace glm

39
glm/gtx/handed_coordinate_space.inl
View file

@ -7,24 +7,27 @@
// File : glm/gtx/handed_coordinate_space.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER bool rightHanded(
detail::tvec3<T> const & tangent,
detail::tvec3<T> const & binormal,
detail::tvec3<T> const & normal)
namespace glm
{
return dot(cross(normal, tangent), binormal) > T(0);
}
template <typename T>
GLM_FUNC_QUALIFIER bool leftHanded(
detail::tvec3<T> const & tangent,
detail::tvec3<T> const & binormal,
detail::tvec3<T> const & normal)
{
return dot(cross(normal, tangent), binormal) < T(0);
}
template <typename T>
GLM_FUNC_QUALIFIER bool rightHanded
(
detail::tvec3<T> const & tangent,
detail::tvec3<T> const & binormal,
detail::tvec3<T> const & normal
)
{
return dot(cross(normal, tangent), binormal) > T(0);
}
template <typename T>
GLM_FUNC_QUALIFIER bool leftHanded
(
detail::tvec3<T> const & tangent,
detail::tvec3<T> const & binormal,
detail::tvec3<T> const & normal
)
{
return dot(cross(normal, tangent), binormal) < T(0);
}
}//namespace glm

32
glm/gtx/inertia.hpp
View file

@ -55,57 +55,57 @@ namespace glm
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat3x3<T> boxInertia3(
const T Mass,
const detail::tvec3<T>& Scale);
T const & Mass,
detail::tvec3<T> const & Scale);
//! Build an inertia matrix for a box.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat4x4<T> boxInertia4(
const T Mass,
const detail::tvec3<T>& Scale);
T const & Mass,
detail::tvec3<T> const & Scale);
//! Build an inertia matrix for a disk.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat3x3<T> diskInertia3(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
//! Build an inertia matrix for a disk.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat4x4<T> diskInertia4(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
//! Build an inertia matrix for a ball.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat3x3<T> ballInertia3(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
//! Build an inertia matrix for a ball.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat4x4<T> ballInertia4(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
//! Build an inertia matrix for a sphere.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat3x3<T> sphereInertia3(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
//! Build an inertia matrix for a sphere.
//! From GLM_GTX_inertia extension.
template <typename T>
detail::tmat4x4<T> sphereInertia4(
const T Mass,
const T Radius);
T const & Mass,
T const & Radius);
/// @}
}// namespace glm

177
glm/gtx/inertia.inl
View file

@ -7,93 +7,108 @@
// File : glm/gtx/inertia.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> boxInertia3(
const T Mass,
const detail::tvec3<T>& Scale)
namespace glm
{
detail::tmat3x3<T> Result(T(1));
Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12);
Result[1][1] = (Scale.x * Scale.x + Scale.z * Scale.z) * Mass / T(12);
Result[2][2] = (Scale.x * Scale.x + Scale.y * Scale.y) * Mass / T(12);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> boxInertia3
(
T const & Mass,
detail::tvec3<T> const & Scale
)
{
detail::tmat3x3<T> Result(T(1));
Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12);
Result[1][1] = (Scale.x * Scale.x + Scale.z * Scale.z) * Mass / T(12);
Result[2][2] = (Scale.x * Scale.x + Scale.y * Scale.y) * Mass / T(12);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> boxInertia4(
const T Mass,
const detail::tvec3<T>& Scale)
{
detail::tmat4x4<T> Result(T(1));
Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12);
Result[1][1] = (Scale.x * Scale.x + Scale.z * Scale.z) * Mass / T(12);
Result[2][2] = (Scale.x * Scale.x + Scale.y * Scale.y) * Mass / T(12);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> boxInertia4
(
T const & Mass,
detail::tvec3<T> const & Scale
)
{
detail::tmat4x4<T> Result(T(1));
Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12);
Result[1][1] = (Scale.x * Scale.x + Scale.z * Scale.z) * Mass / T(12);
Result[2][2] = (Scale.x * Scale.x + Scale.y * Scale.y) * Mass / T(12);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> diskInertia3(
const T Mass,
const T Radius)
{
T a = Mass * Radius * Radius / T(2);
detail::tmat3x3<T> Result(a);
Result[2][2] *= T(2);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> diskInertia3
(
T const & Mass,
T const & Radius
)
{
T a = Mass * Radius * Radius / T(2);
detail::tmat3x3<T> Result(a);
Result[2][2] *= T(2);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> diskInertia4(
const T Mass,
const T Radius)
{
T a = Mass * Radius * Radius / T(2);
detail::tmat4x4<T> Result(a);
Result[2][2] *= T(2);
Result[3][3] = T(1);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> diskInertia4
(
T const & Mass,
T const & Radius
)
{
T a = Mass * Radius * Radius / T(2);
detail::tmat4x4<T> Result(a);
Result[2][2] *= T(2);
Result[3][3] = T(1);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> ballInertia3(
const T Mass,
const T Radius)
{
T a = T(2) * Mass * Radius * Radius / T(5);
return detail::tmat3x3<T>(a);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> ballInertia3
(
T const & Mass,
T const & Radius
)
{
T a = T(2) * Mass * Radius * Radius / T(5);
return detail::tmat3x3<T>(a);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> ballInertia4(
const T Mass,
const T Radius)
{
T a = T(2) * Mass * Radius * Radius / T(5);
detail::tmat4x4<T> Result(a);
Result[3][3] = T(1);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> ballInertia4
(
T const & Mass,
T const & Radius
)
{
T a = T(2) * Mass * Radius * Radius / T(5);
detail::tmat4x4<T> Result(a);
Result[3][3] = T(1);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> sphereInertia3(
const T Mass,
const T Radius)
{
T a = T(2) * Mass * Radius * Radius / T(3);
return detail::tmat3x3<T>(a);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> sphereInertia4(
const T Mass,
const T Radius)
{
T a = T(2) * Mass * Radius * Radius / T(3);
detail::tmat4x4<T> Result(a);
Result[3][3] = T(1);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> sphereInertia3
(
T const & Mass,
T const & Radius
)
{
T a = T(2) * Mass * Radius * Radius / T(3);
return detail::tmat3x3<T>(a);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> sphereInertia4
(
T const & Mass,
T const & Radius
)
{
T a = T(2) * Mass * Radius * Radius / T(3);
detail::tmat4x4<T> Result(a);
Result[3][3] = T(1);
return Result;
}
}//namespace glm

14
glm/gtx/int_10_10_10_2.inl
View file

@ -7,11 +7,13 @@
// File : glm/gtx/int_10_10_10_2.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
GLM_FUNC_QUALIFIER dword uint10_10_10_2_cast(glm::vec4 const & v)
namespace glm
{
return dword(uint(v.x * 2047.f) << 0 | uint(v.y * 2047.f) << 10 | uint(v.z * 2047.f) << 20 | uint(v.w * 3.f) << 30);
}
GLM_FUNC_QUALIFIER dword uint10_10_10_2_cast
(
glm::vec4 const & v
)
{
return dword(uint(v.x * 2047.f) << 0 | uint(v.y * 2047.f) << 10 | uint(v.z * 2047.f) << 20 | uint(v.w * 3.f) << 30);
}
}//namespace glm

256
glm/gtx/integer.inl
View file

@ -7,35 +7,35 @@
// File : glm/gtx/integer.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
// pow
GLM_FUNC_QUALIFIER int pow(int x, int y)
namespace glm
{
if(y == 0)
return 1;
int result = x;
for(int i = 1; i < y; ++i)
result *= x;
return result;
}
// pow
GLM_FUNC_QUALIFIER int pow(int x, int y)
{
if(y == 0)
return 1;
int result = x;
for(int i = 1; i < y; ++i)
result *= x;
return result;
}
// sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
GLM_FUNC_QUALIFIER int sqrt(int x)
{
if(x <= 1) return x;
// sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
GLM_FUNC_QUALIFIER int sqrt(int x)
{
if(x <= 1) return x;
int NextTrial = x >> 1;
int CurrentAnswer;
int NextTrial = x >> 1;
int CurrentAnswer;
do
{
CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer);
do
{
CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer);
return CurrentAnswer;
}
return CurrentAnswer;
}
// Henry Gordon Dietz: http://aggregate.org/MAGIC/
namespace detail
@ -69,132 +69,132 @@ namespace detail
};
}//namespace detail
// Henry Gordon Dietz: http://aggregate.org/MAGIC/
unsigned int floor_log2(unsigned int x)
{
x |= (x >> 1);
x |= (x >> 2);
x |= (x >> 4);
x |= (x >> 8);
x |= (x >> 16);
// Henry Gordon Dietz: http://aggregate.org/MAGIC/
unsigned int floor_log2(unsigned int x)
{
x |= (x >> 1);
x |= (x >> 2);
x |= (x >> 4);
x |= (x >> 8);
x |= (x >> 16);
return(detail::ones32(x) - 1);
}
return(detail::ones32(x) - 1);
}
// mod
GLM_FUNC_QUALIFIER int mod(int x, int y)
{
return x - y * (x / y);
}
// mod
GLM_FUNC_QUALIFIER int mod(int x, int y)
{
return x - y * (x / y);
}
// factorial (!12 max, integer only)
template <typename genType>
GLM_FUNC_QUALIFIER genType factorial(genType const & x)
{
genType Temp = x;
genType Result;
for(Result = 1; Temp > 1; --Temp)
Result *= Temp;
return Result;
}
// factorial (!12 max, integer only)
template <typename genType>
GLM_FUNC_QUALIFIER genType factorial(genType const & x)
{
genType Temp = x;
genType Result;
for(Result = 1; Temp > 1; --Temp)
Result *= Temp;
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> factorial(
detail::tvec2<valType> const & x)
{
return detail::tvec2<valType>(
factorial(x.x),
factorial(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> factorial(
detail::tvec2<valType> const & x)
{
return detail::tvec2<valType>(
factorial(x.x),
factorial(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> factorial(
detail::tvec3<valType> const & x)
{
return detail::tvec3<valType>(
factorial(x.x),
factorial(x.y),
factorial(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> factorial(
detail::tvec3<valType> const & x)
{
return detail::tvec3<valType>(
factorial(x.x),
factorial(x.y),
factorial(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> factorial(
detail::tvec4<valType> const & x)
{
return detail::tvec4<valType>(
factorial(x.x),
factorial(x.y),
factorial(x.z),
factorial(x.w));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> factorial(
detail::tvec4<valType> const & x)
{
return detail::tvec4<valType>(
factorial(x.x),
factorial(x.y),
factorial(x.z),
factorial(x.w));
}
GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
{
uint result = x;
for(uint i = 1; i < y; ++i)
result *= x;
return result;
}
GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
{
uint result = x;
for(uint i = 1; i < y; ++i)
result *= x;
return result;
}
GLM_FUNC_QUALIFIER uint sqrt(uint x)
{
if(x <= 1) return x;
GLM_FUNC_QUALIFIER uint sqrt(uint x)
{
if(x <= 1) return x;
uint NextTrial = x >> 1;
uint CurrentAnswer;
uint NextTrial = x >> 1;
uint CurrentAnswer;
do
{
CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer);
do
{
CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer);
return CurrentAnswer;
}
return CurrentAnswer;
}
GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
{
return x - y * (x / y);
}
GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
{
return x - y * (x / y);
}
#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{
return 31u - findMSB(x);
}
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{
return 31u - findMSB(x);
}
#else
// Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{
int y, m, n;
// Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{
int y, m, n;
y = -int(x >> 16); // If left half of x is 0,
m = (y >> 16) & 16; // set n = 16. If left half
n = 16 - m; // is nonzero, set n = 0 and
x = x >> m; // shift x right 16.
// Now x is of the form 0000xxxx.
y = x - 0x100; // If positions 8-15 are 0,
m = (y >> 16) & 8; // add 8 to n and shift x left 8.
n = n + m;
x = x << m;
y = -int(x >> 16); // If left half of x is 0,
m = (y >> 16) & 16; // set n = 16. If left half
n = 16 - m; // is nonzero, set n = 0 and
x = x >> m; // shift x right 16.
// Now x is of the form 0000xxxx.
y = x - 0x100; // If positions 8-15 are 0,
m = (y >> 16) & 8; // add 8 to n and shift x left 8.
n = n + m;
x = x << m;
y = x - 0x1000; // If positions 12-15 are 0,
m = (y >> 16) & 4; // add 4 to n and shift x left 4.
n = n + m;
x = x << m;
y = x - 0x1000; // If positions 12-15 are 0,
m = (y >> 16) & 4; // add 4 to n and shift x left 4.
n = n + m;
x = x << m;
y = x - 0x4000; // If positions 14-15 are 0,
m = (y >> 16) & 2; // add 2 to n and shift x left 2.
n = n + m;
x = x << m;
y = x - 0x4000; // If positions 14-15 are 0,
m = (y >> 16) & 2; // add 2 to n and shift x left 2.
n = n + m;
x = x << m;
y = x >> 14; // Set y = 0, 1, 2, or 3.
m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
return unsigned(n + 2 - m);
}
y = x >> 14; // Set y = 0, 1, 2, or 3.
m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
return unsigned(n + 2 - m);
}
#endif//(GLM_COMPILER)

349
glm/gtx/intersect.inl
View file

@ -10,188 +10,187 @@
#include <cfloat>
#include <limits>
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectRayTriangle
(
genType const & orig, genType const & dir,
genType const & v0, genType const & v1, genType const & v2,
genType & baryPosition
)
namespace glm
{
genType e1 = v1 - v0;
genType e2 = v2 - v0;
genType p = glm::cross(dir, e2);
typename genType::value_type a = glm::dot(e1, p);
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
if(a < Epsilon)
return false;
typename genType::value_type f = typename genType::value_type(1.0f) / a;
genType s = orig - v0;
baryPosition.x = f * glm::dot(s, p);
if(baryPosition.x < typename genType::value_type(0.0f))
return false;
if(baryPosition.x > typename genType::value_type(1.0f))
return false;
genType q = glm::cross(s, e1);
baryPosition.y = f * glm::dot(dir, q);
if(baryPosition.y < typename genType::value_type(0.0f))
return false;
if(baryPosition.y + baryPosition.x > typename genType::value_type(1.0f))
return false;
baryPosition.z = f * glm::dot(e2, q);
return baryPosition.z >= typename genType::value_type(0.0f);
}
//template <typename genType>
//GLM_FUNC_QUALIFIER bool intersectRayTriangle
//(
// genType const & orig, genType const & dir,
// genType const & vert0, genType const & vert1, genType const & vert2,
// genType & position
//)
//{
// typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
//
// genType edge1 = vert1 - vert0;
// genType edge2 = vert2 - vert0;
//
// genType pvec = cross(dir, edge2);
//
// float det = dot(edge1, pvec);
// if(det < Epsilon)
// return false;
//
// genType tvec = orig - vert0;
//
// position.y = dot(tvec, pvec);
// if (position.y < typename genType::value_type(0) || position.y > det)
// return typename genType::value_type(0);
//
// genType qvec = cross(tvec, edge1);
//
// position.z = dot(dir, qvec);
// if (position.z < typename genType::value_type(0) || position.y + position.z > det)
// return typename genType::value_type(0);
//
// position.x = dot(edge2, qvec);
// position *= typename genType::value_type(1) / det;
//
// return typename genType::value_type(1);
//}
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectLineTriangle
(
genType const & orig, genType const & dir,
genType const & vert0, genType const & vert1, genType const & vert2,
genType & position
)
{
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
genType edge1 = vert1 - vert0;
genType edge2 = vert2 - vert0;
genType pvec = cross(dir, edge2);
float det = dot(edge1, pvec);
if (det > -Epsilon && det < Epsilon)
return false;
float inv_det = typename genType::value_type(1) / det;
genType tvec = orig - vert0;
position.y = dot(tvec, pvec) * inv_det;
if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
return false;
genType qvec = cross(tvec, edge1);
position.z = dot(dir, qvec) * inv_det;
if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
return false;
position.x = dot(edge2, qvec) * inv_det;
return true;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectRaySphere
(
genType const & rayStarting, genType const & rayDirection,
genType const & sphereCenter, typename genType::value_type sphereRadius,
genType & position, genType & normal
)
{
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
typename genType::value_type a = dot(rayDirection, rayDirection);
typename genType::value_type b = typename genType::value_type(2) * dot(rayStarting, rayDirection);
typename genType::value_type c = dot(rayStarting, rayStarting) - sphereRadius * sphereRadius;
typename genType::value_type d = b * b - typename genType::value_type(4) * a * c;
typename genType::value_type e = sqrt(d);
typename genType::value_type x1 = (-b - e) / (typename genType::value_type(2) * a);
typename genType::value_type x2 = (-b + e) / (typename genType::value_type(2) * a);
if(x1 > Epsilon)
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectRayTriangle
(
genType const & orig, genType const & dir,
genType const & v0, genType const & v1, genType const & v2,
genType & baryPosition
)
{
position = rayStarting + rayDirection * sphereRadius;
normal = (position - sphereCenter) / sphereRadius;
genType e1 = v1 - v0;
genType e2 = v2 - v0;
genType p = glm::cross(dir, e2);
typename genType::value_type a = glm::dot(e1, p);
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
if(a < Epsilon)
return false;
typename genType::value_type f = typename genType::value_type(1.0f) / a;
genType s = orig - v0;
baryPosition.x = f * glm::dot(s, p);
if(baryPosition.x < typename genType::value_type(0.0f))
return false;
if(baryPosition.x > typename genType::value_type(1.0f))
return false;
genType q = glm::cross(s, e1);
baryPosition.y = f * glm::dot(dir, q);
if(baryPosition.y < typename genType::value_type(0.0f))
return false;
if(baryPosition.y + baryPosition.x > typename genType::value_type(1.0f))
return false;
baryPosition.z = f * glm::dot(e2, q);
return baryPosition.z >= typename genType::value_type(0.0f);
}
//template <typename genType>
//GLM_FUNC_QUALIFIER bool intersectRayTriangle
//(
// genType const & orig, genType const & dir,
// genType const & vert0, genType const & vert1, genType const & vert2,
// genType & position
//)
//{
// typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
//
// genType edge1 = vert1 - vert0;
// genType edge2 = vert2 - vert0;
//
// genType pvec = cross(dir, edge2);
//
// float det = dot(edge1, pvec);
// if(det < Epsilon)
// return false;
//
// genType tvec = orig - vert0;
//
// position.y = dot(tvec, pvec);
// if (position.y < typename genType::value_type(0) || position.y > det)
// return typename genType::value_type(0);
//
// genType qvec = cross(tvec, edge1);
//
// position.z = dot(dir, qvec);
// if (position.z < typename genType::value_type(0) || position.y + position.z > det)
// return typename genType::value_type(0);
//
// position.x = dot(edge2, qvec);
// position *= typename genType::value_type(1) / det;
//
// return typename genType::value_type(1);
//}
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectLineTriangle
(
genType const & orig, genType const & dir,
genType const & vert0, genType const & vert1, genType const & vert2,
genType & position
)
{
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
genType edge1 = vert1 - vert0;
genType edge2 = vert2 - vert0;
genType pvec = cross(dir, edge2);
float det = dot(edge1, pvec);
if (det > -Epsilon && det < Epsilon)
return false;
float inv_det = typename genType::value_type(1) / det;
genType tvec = orig - vert0;
position.y = dot(tvec, pvec) * inv_det;
if (position.y < typename genType::value_type(0) || position.y > typename genType::value_type(1))
return false;
genType qvec = cross(tvec, edge1);
position.z = dot(dir, qvec) * inv_det;
if (position.z < typename genType::value_type(0) || position.y + position.z > typename genType::value_type(1))
return false;
position.x = dot(edge2, qvec) * inv_det;
return true;
}
else if(x2 > Epsilon)
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectRaySphere
(
genType const & rayStarting, genType const & rayDirection,
genType const & sphereCenter, typename genType::value_type sphereRadius,
genType & position, genType & normal
)
{
position = rayStarting + rayDirection * sphereRadius;
normal = (position - sphereCenter) / sphereRadius;
return true;
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
typename genType::value_type a = dot(rayDirection, rayDirection);
typename genType::value_type b = typename genType::value_type(2) * dot(rayStarting, rayDirection);
typename genType::value_type c = dot(rayStarting, rayStarting) - sphereRadius * sphereRadius;
typename genType::value_type d = b * b - typename genType::value_type(4) * a * c;
typename genType::value_type e = sqrt(d);
typename genType::value_type x1 = (-b - e) / (typename genType::value_type(2) * a);
typename genType::value_type x2 = (-b + e) / (typename genType::value_type(2) * a);
if(x1 > Epsilon)
{
position = rayStarting + rayDirection * sphereRadius;
normal = (position - sphereCenter) / sphereRadius;
return true;
}
else if(x2 > Epsilon)
{
position = rayStarting + rayDirection * sphereRadius;
normal = (position - sphereCenter) / sphereRadius;
return true;
}
return false;
}
return false;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectLineSphere
(
genType const & point0, genType const & point1,
genType const & center, typename genType::value_type radius,
genType & position, genType & normal
)
{
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
genType dir = point1 - point0;
typename genType::value_type a = dot(dir, dir);
typename genType::value_type b = typename genType::value_type(2) * dot(center, dir);
typename genType::value_type c = dot(center, center) - radius * radius;
typename genType::value_type d = b * b - typename genType::value_type(4) * a * c;
typename genType::value_type e = sqrt(d);
typename genType::value_type x1 = (-b - e) / (typename genType::value_type(2) * a);
typename genType::value_type x2 = (-b + e) / (typename genType::value_type(2) * a);
if(x1 > Epsilon)
template <typename genType>
GLM_FUNC_QUALIFIER bool intersectLineSphere
(
genType const & point0, genType const & point1,
genType const & center, typename genType::value_type radius,
genType & position, genType & normal
)
{
position = center + dir * radius;
normal = (position - center) / radius;
return true;
}
else if(x2 > Epsilon)
{
position = center + dir * radius;
normal = (position - center) / radius;
return true;
}
return false;
}
typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
genType dir = point1 - point0;
typename genType::value_type a = dot(dir, dir);
typename genType::value_type b = typename genType::value_type(2) * dot(center, dir);
typename genType::value_type c = dot(center, center) - radius * radius;
typename genType::value_type d = b * b - typename genType::value_type(4) * a * c;
typename genType::value_type e = sqrt(d);
typename genType::value_type x1 = (-b - e) / (typename genType::value_type(2) * a);
typename genType::value_type x2 = (-b + e) / (typename genType::value_type(2) * a);
if(x1 > Epsilon)
{
position = center + dir * radius;
normal = (position - center) / radius;
return true;
}
else if(x2 > Epsilon)
{
position = center + dir * radius;
normal = (position - center) / radius;
return true;
}
return false;
}
}//namespace glm

86
glm/gtx/log_base.inl
View file

@ -7,82 +7,20 @@
// File : glm/gtx/log_base.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
template <typename genType>
GLM_FUNC_QUALIFIER genType log(
genType const & x,
genType const & base)
namespace glm
{
assert(x != genType(0));
template <typename genType>
GLM_FUNC_QUALIFIER genType log(
genType const & x,
genType const & base)
{
assert(x != genType(0));
return glm::log(x) / glm::log(base);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> log(
detail::tvec2<valType> const & v,
valType const & base)
{
return detail::tvec2<valType>(
log(v.x, base),
log(v.y, base));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> log(
detail::tvec3<valType> const & v,
valType const & base)
{
return detail::tvec3<valType>(
log(v.x, base),
log(v.y, base),
log(v.z, base));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> log(
detail::tvec4<valType> const & v,
valType const & base)
{
return detail::tvec4<valType>(
log(v.x, base),
log(v.y, base),
log(v.z, base),
log(v.w, base));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> log(
detail::tvec2<valType> const & v,
detail::tvec2<valType> const & base)
{
return detail::tvec2<valType>(
log(v.x, base.x),
log(v.y, base.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> log(
detail::tvec3<valType> const & v,
detail::tvec3<valType> const & base)
{
return detail::tvec3<valType>(
log(v.x, base.x),
log(v.y, base.y),
log(v.z, base.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> log(
detail::tvec4<valType> const & v,
detail::tvec4<valType> const & base)
{
return detail::tvec4<valType>(
log(v.x, base.x),
log(v.y, base.y),
log(v.z, base.z),
log(v.w, base.w));
}
return glm::log(x) / glm::log(base);
}
VECTORIZE_VEC_SCA(log)
VECTORIZE_VEC_VEC(log)
}//namespace glm

58
glm/gtx/matrix_cross_product.inl
View file

@ -7,34 +7,38 @@
// File : glm/gtx/matrix_cross_product.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> matrixCross3(
detail::tvec3<T> const & x)
namespace glm
{
detail::tmat3x3<T> Result(T(0));
Result[0][1] = x.z;
Result[1][0] = -x.z;
Result[0][2] = -x.y;
Result[2][0] = x.y;
Result[1][2] = x.x;
Result[2][1] = -x.x;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> matrixCross3
(
detail::tvec3<T> const & x
)
{
detail::tmat3x3<T> Result(T(0));
Result[0][1] = x.z;
Result[1][0] = -x.z;
Result[0][2] = -x.y;
Result[2][0] = x.y;
Result[1][2] = x.x;
Result[2][1] = -x.x;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> matrixCross4(
detail::tvec3<T> const & x)
{
detail::tmat4x4<T> Result(T(0));
Result[0][1] = x.z;
Result[1][0] = -x.z;
Result[0][2] = -x.y;
Result[2][0] = x.y;
Result[1][2] = x.x;
Result[2][1] = -x.x;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> matrixCross4
(
detail::tvec3<T> const & x
)
{
detail::tmat4x4<T> Result(T(0));
Result[0][1] = x.z;
Result[1][0] = -x.z;
Result[0][2] = -x.y;
Result[2][0] = x.y;
Result[1][2] = x.x;
Result[2][1] = -x.x;
return Result;
}
}//namespace glm

201
glm/gtx/matrix_interpolation.inl
View file

@ -7,107 +7,112 @@
// File : glm/gtx/matrix_interpolation.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER void axisAngle(
detail::tmat4x4<T> const & mat,
detail::tvec3<T> & axis,
T & angle)
namespace glm
{
T epsilon = (T)0.01;
T epsilon2 = (T)0.1;
template <typename T>
GLM_FUNC_QUALIFIER void axisAngle
(
detail::tmat4x4<T> const & mat,
detail::tvec3<T> & axis,
T & angle
)
{
T epsilon = (T)0.01;
T epsilon2 = (T)0.1;
if ((fabs(mat[1][0] - mat[0][1]) < epsilon) && (fabs(mat[2][0] - mat[0][2]) < epsilon) && (fabs(mat[2][1] - mat[1][2]) < epsilon)) {
if ((fabs(mat[1][0] + mat[0][1]) < epsilon2) && (fabs(mat[2][0] + mat[0][2]) < epsilon2) && (fabs(mat[2][1] + mat[1][2]) < epsilon2) && (fabs(mat[0][0] + mat[1][1] + mat[2][2] - (T)3.0) < epsilon2)) {
angle = (T)0.0;
axis.x = (T)1.0;
axis.y = (T)0.0;
axis.z = (T)0.0;
return;
}
angle = T(3.1415926535897932384626433832795);
T xx = (mat[0][0] + (T)1.0) / (T)2.0;
T yy = (mat[1][1] + (T)1.0) / (T)2.0;
T zz = (mat[2][2] + (T)1.0) / (T)2.0;
T xy = (mat[1][0] + mat[0][1]) / (T)4.0;
T xz = (mat[2][0] + mat[0][2]) / (T)4.0;
T yz = (mat[2][1] + mat[1][2]) / (T)4.0;
if ((xx > yy) && (xx > zz)) {
if (xx < epsilon) {
axis.x = (T)0.0;
axis.y = (T)0.7071;
axis.z = (T)0.7071;
} else {
axis.x = sqrt(xx);
axis.y = xy / axis.x;
axis.z = xz / axis.x;
}
} else if (yy > zz) {
if (yy < epsilon) {
axis.x = (T)0.7071;
axis.y = (T)0.0;
axis.z = (T)0.7071;
} else {
axis.y = sqrt(yy);
axis.x = xy / axis.y;
axis.z = yz / axis.y;
}
} else {
if (zz < epsilon) {
axis.x = (T)0.7071;
axis.y = (T)0.7071;
axis.z = (T)0.0;
} else {
axis.z = sqrt(zz);
axis.x = xz / axis.z;
axis.y = yz / axis.z;
}
}
return;
}
T s = sqrt((mat[2][1] - mat[1][2]) * (mat[2][1] - mat[1][2]) + (mat[2][0] - mat[0][2]) * (mat[2][0] - mat[0][2]) + (mat[1][0] - mat[0][1]) * (mat[1][0] - mat[0][1]));
if (glm::abs(s) < T(0.001))
s = (T)1.0;
angle = acos((mat[0][0] + mat[1][1] + mat[2][2] - (T)1.0) / (T)2.0);
axis.x = (mat[1][2] - mat[2][1]) / s;
axis.y = (mat[2][0] - mat[0][2]) / s;
axis.z = (mat[0][1] - mat[1][0]) / s;
}
if ((fabs(mat[1][0] - mat[0][1]) < epsilon) && (fabs(mat[2][0] - mat[0][2]) < epsilon) && (fabs(mat[2][1] - mat[1][2]) < epsilon)) {
if ((fabs(mat[1][0] + mat[0][1]) < epsilon2) && (fabs(mat[2][0] + mat[0][2]) < epsilon2) && (fabs(mat[2][1] + mat[1][2]) < epsilon2) && (fabs(mat[0][0] + mat[1][1] + mat[2][2] - (T)3.0) < epsilon2)) {
angle = (T)0.0;
axis.x = (T)1.0;
axis.y = (T)0.0;
axis.z = (T)0.0;
return;
}
angle = T(3.1415926535897932384626433832795);
T xx = (mat[0][0] + (T)1.0) / (T)2.0;
T yy = (mat[1][1] + (T)1.0) / (T)2.0;
T zz = (mat[2][2] + (T)1.0) / (T)2.0;
T xy = (mat[1][0] + mat[0][1]) / (T)4.0;
T xz = (mat[2][0] + mat[0][2]) / (T)4.0;
T yz = (mat[2][1] + mat[1][2]) / (T)4.0;
if ((xx > yy) && (xx > zz)) {
if (xx < epsilon) {
axis.x = (T)0.0;
axis.y = (T)0.7071;
axis.z = (T)0.7071;
} else {
axis.x = sqrt(xx);
axis.y = xy / axis.x;
axis.z = xz / axis.x;
}
} else if (yy > zz) {
if (yy < epsilon) {
axis.x = (T)0.7071;
axis.y = (T)0.0;
axis.z = (T)0.7071;
} else {
axis.y = sqrt(yy);
axis.x = xy / axis.y;
axis.z = yz / axis.y;
}
} else {
if (zz < epsilon) {
axis.x = (T)0.7071;
axis.y = (T)0.7071;
axis.z = (T)0.0;
} else {
axis.z = sqrt(zz);
axis.x = xz / axis.z;
axis.y = yz / axis.z;
}
}
return;
}
T s = sqrt((mat[2][1] - mat[1][2]) * (mat[2][1] - mat[1][2]) + (mat[2][0] - mat[0][2]) * (mat[2][0] - mat[0][2]) + (mat[1][0] - mat[0][1]) * (mat[1][0] - mat[0][1]));
if (glm::abs(s) < T(0.001))
s = (T)1.0;
angle = acos((mat[0][0] + mat[1][1] + mat[2][2] - (T)1.0) / (T)2.0);
axis.x = (mat[1][2] - mat[2][1]) / s;
axis.y = (mat[2][0] - mat[0][2]) / s;
axis.z = (mat[0][1] - mat[1][0]) / s;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> axisAngleMatrix(
detail::tvec3<T> const & axis,
T const angle)
{
T c = cos(angle);
T s = sin(angle);
T t = T(1) - c;
detail::tvec3<T> n = normalize(axis);
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> axisAngleMatrix
(
detail::tvec3<T> const & axis,
T const angle
)
{
T c = cos(angle);
T s = sin(angle);
T t = T(1) - c;
detail::tvec3<T> n = normalize(axis);
return detail::tmat4x4<T>(
t * n.x * n.x + c, t * n.x * n.y + n.z * s, t * n.x * n.z - n.y * s, T(0),
t * n.x * n.y - n.z * s, t * n.y * n.y + c, t * n.y * n.z + n.x * s, T(0),
t * n.x * n.z + n.y * s, t * n.y * n.z - n.x * s, t * n.z * n.z + c, T(0),
T(0), T(0), T(0), T(1)
);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> interpolate(
detail::tmat4x4<T> const & m1,
detail::tmat4x4<T> const & m2,
T const delta)
{
detail::tmat4x4<T> dltRotation = m2 * transpose(m1);
detail::tvec3<T> dltAxis;
T dltAngle;
axisAngle(dltRotation, dltAxis, dltAngle);
detail::tmat4x4<T> out = axisAngleMatrix(dltAxis, dltAngle * delta) * rotationMatrix(m1);
out[3][0] = m1[3][0] + delta * (m2[3][0] - m1[3][0]);
out[3][1] = m1[3][1] + delta * (m2[3][1] - m1[3][1]);
out[3][2] = m1[3][2] + delta * (m2[3][2] - m1[3][2]);
return out;
}
return detail::tmat4x4<T>(
t * n.x * n.x + c, t * n.x * n.y + n.z * s, t * n.x * n.z - n.y * s, T(0),
t * n.x * n.y - n.z * s, t * n.y * n.y + c, t * n.y * n.z + n.x * s, T(0),
t * n.x * n.z + n.y * s, t * n.y * n.z - n.x * s, t * n.z * n.z + c, T(0),
T(0), T(0), T(0), T(1)
);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> interpolate
(
detail::tmat4x4<T> const & m1,
detail::tmat4x4<T> const & m2,
T const delta
)
{
detail::tmat4x4<T> dltRotation = m2 * transpose(m1);
detail::tvec3<T> dltAxis;
T dltAngle;
axisAngle(dltRotation, dltAxis, dltAngle);
detail::tmat4x4<T> out = axisAngleMatrix(dltAxis, dltAngle * delta) * rotationMatrix(m1);
out[3][0] = m1[3][0] + delta * (m2[3][0] - m1[3][0]);
out[3][1] = m1[3][1] + delta * (m2[3][1] - m1[3][1]);
out[3][2] = m1[3][2] + delta * (m2[3][2] - m1[3][2]);
return out;
}
}//namespace glm

48
glm/gtx/matrix_major_storage.hpp
View file

@ -55,85 +55,85 @@ namespace glm
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat2x2<T> rowMajor2(
const detail::tvec2<T>& v1,
const detail::tvec2<T>& v2);
detail::tvec2<T> const & v1,
detail::tvec2<T> const & v2);
//! Build a row major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat2x2<T> rowMajor2(
const detail::tmat2x2<T>& m);
detail::tmat2x2<T> const & m);
//! Build a row major matrix from row vectors.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat3x3<T> rowMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3);
detail::tvec3<T> const & v1,
detail::tvec3<T> const & v2,
detail::tvec3<T> const & v3);
//! Build a row major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat3x3<T> rowMajor3(
const detail::tmat3x3<T>& m);
detail::tmat3x3<T> const & m);
//! Build a row major matrix from row vectors.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat4x4<T> rowMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4);
detail::tvec4<T> const & v1,
detail::tvec4<T> const & v2,
detail::tvec4<T> const & v3,
detail::tvec4<T> const & v4);
//! Build a row major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat4x4<T> rowMajor4(
const detail::tmat4x4<T>& m);
detail::tmat4x4<T> const & m);
//! Build a column major matrix from column vectors.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat2x2<T> colMajor2(
const detail::tvec2<T>& v1,
const detail::tvec2<T>& v2);
detail::tvec2<T> const & v1,
detail::tvec2<T> const & v2);
//! Build a column major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat2x2<T> colMajor2(
const detail::tmat2x2<T>& m);
detail::tmat2x2<T> const & m);
//! Build a column major matrix from column vectors.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat3x3<T> colMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3);
detail::tvec3<T> const & v1,
detail::tvec3<T> const & v2,
detail::tvec3<T> const & v3);
//! Build a column major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat3x3<T> colMajor3(
const detail::tmat3x3<T>& m);
detail::tmat3x3<T> const & m);
//! Build a column major matrix from column vectors.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat4x4<T> colMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4);
detail::tvec4<T> const & v1,
detail::tvec4<T> const & v2,
detail::tvec4<T> const & v3,
detail::tvec4<T> const & v4);
//! Build a column major matrix from other matrix.
//! From GLM_GTX_matrix_major_storage extension.
template <typename T>
detail::tmat4x4<T> colMajor4(
const detail::tmat4x4<T>& m);
detail::tmat4x4<T> const & m);
/// @}
}//namespace glm

301
glm/gtx/matrix_major_storage.inl
View file

@ -7,166 +7,167 @@
// File : glm/gtx/matrix_major_storage.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> rowMajor2(
const detail::tvec2<T>& v1,
const detail::tvec2<T>& v2)
namespace glm
{
detail::tmat2x2<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> rowMajor2
(
detail::tvec2<T> const & v1,
detail::tvec2<T> const & v2
)
{
detail::tmat2x2<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> rowMajor2(
const detail::tmat2x2<T>& m)
{
detail::tmat2x2<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> rowMajor2(
const detail::tmat2x2<T>& m)
{
detail::tmat2x2<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> rowMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3)
{
detail::tmat3x3<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[2][0] = v1.z;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
Result[2][1] = v2.z;
Result[0][2] = v3.x;
Result[1][2] = v3.y;
Result[2][2] = v3.z;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> rowMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3)
{
detail::tmat3x3<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[2][0] = v1.z;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
Result[2][1] = v2.z;
Result[0][2] = v3.x;
Result[1][2] = v3.y;
Result[2][2] = v3.z;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> rowMajor3(
const detail::tmat3x3<T>& m)
{
detail::tmat3x3<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[0][2] = m[2][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
Result[1][2] = m[2][1];
Result[2][0] = m[0][2];
Result[2][1] = m[1][2];
Result[2][2] = m[2][2];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> rowMajor3(
const detail::tmat3x3<T>& m)
{
detail::tmat3x3<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[0][2] = m[2][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
Result[1][2] = m[2][1];
Result[2][0] = m[0][2];
Result[2][1] = m[1][2];
Result[2][2] = m[2][2];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rowMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4)
{
detail::tmat4x4<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[2][0] = v1.z;
Result[3][0] = v1.w;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
Result[2][1] = v2.z;
Result[3][1] = v2.w;
Result[0][2] = v3.x;
Result[1][2] = v3.y;
Result[2][2] = v3.z;
Result[3][2] = v3.w;
Result[0][3] = v4.x;
Result[1][3] = v4.y;
Result[2][3] = v4.z;
Result[3][3] = v4.w;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rowMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4)
{
detail::tmat4x4<T> Result;
Result[0][0] = v1.x;
Result[1][0] = v1.y;
Result[2][0] = v1.z;
Result[3][0] = v1.w;
Result[0][1] = v2.x;
Result[1][1] = v2.y;
Result[2][1] = v2.z;
Result[3][1] = v2.w;
Result[0][2] = v3.x;
Result[1][2] = v3.y;
Result[2][2] = v3.z;
Result[3][2] = v3.w;
Result[0][3] = v4.x;
Result[1][3] = v4.y;
Result[2][3] = v4.z;
Result[3][3] = v4.w;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rowMajor4(
const detail::tmat4x4<T>& m)
{
detail::tmat4x4<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[0][2] = m[2][0];
Result[0][3] = m[3][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
Result[1][2] = m[2][1];
Result[1][3] = m[3][1];
Result[2][0] = m[0][2];
Result[2][1] = m[1][2];
Result[2][2] = m[2][2];
Result[2][3] = m[3][2];
Result[3][0] = m[0][3];
Result[3][1] = m[1][3];
Result[3][2] = m[2][3];
Result[3][3] = m[3][3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> rowMajor4(
const detail::tmat4x4<T>& m)
{
detail::tmat4x4<T> Result;
Result[0][0] = m[0][0];
Result[0][1] = m[1][0];
Result[0][2] = m[2][0];
Result[0][3] = m[3][0];
Result[1][0] = m[0][1];
Result[1][1] = m[1][1];
Result[1][2] = m[2][1];
Result[1][3] = m[3][1];
Result[2][0] = m[0][2];
Result[2][1] = m[1][2];
Result[2][2] = m[2][2];
Result[2][3] = m[3][2];
Result[3][0] = m[0][3];
Result[3][1] = m[1][3];
Result[3][2] = m[2][3];
Result[3][3] = m[3][3];
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> colMajor2(
const detail::tvec2<T>& v1,
const detail::tvec2<T>& v2)
{
return detail::tmat2x2<T>(v1, v2);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> colMajor2(
const detail::tvec2<T>& v1,
const detail::tvec2<T>& v2)
{
return detail::tmat2x2<T>(v1, v2);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> colMajor2(
const detail::tmat2x2<T>& m)
{
return detail::tmat2x2<T>(m);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> colMajor2(
const detail::tmat2x2<T>& m)
{
return detail::tmat2x2<T>(m);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> colMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3)
{
return detail::tmat3x3<T>(v1, v2, v3);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> colMajor3(
const detail::tvec3<T>& v1,
const detail::tvec3<T>& v2,
const detail::tvec3<T>& v3)
{
return detail::tmat3x3<T>(v1, v2, v3);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> colMajor3(
const detail::tmat3x3<T>& m)
{
return detail::tmat3x3<T>(m);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> colMajor3(
const detail::tmat3x3<T>& m)
{
return detail::tmat3x3<T>(m);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> colMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4)
{
return detail::tmat4x4<T>(v1, v2, v3, v4);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> colMajor4(
const detail::tmat4x4<T>& m)
{
return detail::tmat4x4<T>(m);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> colMajor4(
const detail::tvec4<T>& v1,
const detail::tvec4<T>& v2,
const detail::tvec4<T>& v3,
const detail::tvec4<T>& v4)
{
return detail::tmat4x4<T>(v1, v2, v3, v4);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> colMajor4(
const detail::tmat4x4<T>& m)
{
return detail::tmat4x4<T>(m);
}
}//namespace glm

211
glm/gtx/matrix_operation.inl
View file

@ -7,119 +7,118 @@
// File : glm/gtx/matrix_operation.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> diagonal2x2
(
detail::tvec2<valType> const & v
)
namespace glm
{
detail::tmat2x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x2<valType> diagonal2x2
(
detail::tvec2<valType> const & v
)
{
detail::tmat2x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x3<valType> diagonal2x3
(
detail::tvec2<valType> const & v
)
{
detail::tmat2x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x3<valType> diagonal2x3
(
detail::tvec2<valType> const & v
)
{
detail::tmat2x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x4<valType> diagonal2x4
(
detail::tvec2<valType> const & v
)
{
detail::tmat2x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat2x4<valType> diagonal2x4
(
detail::tvec2<valType> const & v
)
{
detail::tmat2x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x2<valType> diagonal3x2
(
detail::tvec2<valType> const & v
)
{
detail::tmat3x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x2<valType> diagonal3x2
(
detail::tvec2<valType> const & v
)
{
detail::tmat3x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> diagonal3x3
(
detail::tvec3<valType> const & v
)
{
detail::tmat3x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x3<valType> diagonal3x3
(
detail::tvec3<valType> const & v
)
{
detail::tmat3x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x4<valType> diagonal3x4
(
detail::tvec3<valType> const & v
)
{
detail::tmat3x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat3x4<valType> diagonal3x4
(
detail::tvec3<valType> const & v
)
{
detail::tmat3x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> diagonal4x4
(
detail::tvec4<valType> const & v
)
{
detail::tmat4x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
Result[3][3] = v[3];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x4<valType> diagonal4x4
(
detail::tvec4<valType> const & v
)
{
detail::tmat4x4<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
Result[3][3] = v[3];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x3<valType> diagonal4x3
(
detail::tvec3<valType> const & v
)
{
detail::tmat4x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x2<valType> diagonal4x2
(
detail::tvec2<valType> const & v
)
{
detail::tmat4x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x3<valType> diagonal4x3
(
detail::tvec3<valType> const & v
)
{
detail::tmat4x3<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
Result[2][2] = v[2];
return Result;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tmat4x2<valType> diagonal4x2
(
detail::tvec2<valType> const & v
)
{
detail::tmat4x2<valType> Result(valType(1));
Result[0][0] = v[0];
Result[1][1] = v[1];
return Result;
}
}//namespace glm

32
glm/gtx/matrix_query.hpp
View file

@ -56,57 +56,57 @@ namespace glm
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNull(
const detail::tmat2x2<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat2x2<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix a null matrix.
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNull(
const detail::tmat3x3<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat3x3<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix a null matrix.
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNull(
const detail::tmat4x4<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat4x4<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix an identity matrix.
//! From GLM_GTX_matrix_query extension.
template<typename genType>
bool isIdentity(
const genType& m,
const typename genType::value_type epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
genType const & m,
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
//! Return if a matrix a normalized matrix.
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNormalized(
const detail::tmat2x2<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat2x2<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix a normalized matrix.
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNormalized(
const detail::tmat3x3<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat3x3<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix a normalized matrix.
//! From GLM_GTX_matrix_query extension.
template<typename T>
bool isNormalized(
const detail::tmat4x4<T>& m,
const T epsilon = std::numeric_limits<T>::epsilon());
detail::tmat4x4<T> const & m,
T const & epsilon = std::numeric_limits<T>::epsilon());
//! Return if a matrix an orthonormalized matrix.
//! From GLM_GTX_matrix_query extension.
template<typename genType>
bool isOrthogonal(
const genType& m,
const typename genType::value_type epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
genType const & m,
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
/// @}
}//namespace glm

260
glm/gtx/matrix_query.inl
View file

@ -10,131 +10,145 @@
// - GLM core
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat2x2<T>& m,
const T epsilon)
namespace glm
{
bool result = true;
for(int i = 0; result && i < 2 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat3x3<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 3 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat4x4<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 4 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isIdentity(
const genType& m,
const typename genType::value_type epsilon)
{
bool result = true;
for(typename genType::value_type i = typename genType::value_type(0); result && i < genType::col_size(); ++i)
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat2x2<T> const & m,
T const & epsilon)
{
for(typename genType::value_type j = typename genType::value_type(0); result && j < i ; ++j)
result = abs(m[i][j]) <= epsilon;
bool result = true;
for(int i = 0; result && i < 2 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat3x3<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 3 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNull
(
detail::tmat4x4<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 4 ; ++i)
result = isNull(m[i], epsilon);
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isIdentity
(
genType const & m,
typename genType::value_type const & epsilon
)
{
bool result = true;
for(typename genType::value_type i = typename genType::value_type(0); result && i < genType::col_size(); ++i)
{
for(typename genType::value_type j = typename genType::value_type(0); result && j < i ; ++j)
result = abs(m[i][j]) <= epsilon;
if(result)
result = abs(m[i][i] - typename genType::value_type(1)) <= epsilon;
for(typename genType::value_type j = i + typename genType::value_type(1); result && j < genType::row_size(); ++j)
result = abs(m[i][j]) <= epsilon;
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat2x2<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 2; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 2; ++i)
{
detail::tvec2<T> v;
for(int j = 0; j < 2; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat3x3<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 3; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 3; ++i)
{
detail::tvec3<T> v;
for(int j = 0; j < 3; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized
(
detail::tmat4x4<T> const & m,
T const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < 4; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 4; ++i)
{
detail::tvec4<T> v;
for(int j = 0; j < 4; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isOrthogonal
(
genType const & m,
typename genType::value_type const & epsilon
)
{
bool result = true;
for(int i = 0; result && i < genType::col_size() - 1; ++i)
for(int j= i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(m[i], m[j], epsilon);
if(result)
result = abs(m[i][i] - typename genType::value_type(1)) <= epsilon;
for(typename genType::value_type j = i + typename genType::value_type(1); result && j < genType::row_size(); ++j)
result = abs(m[i][j]) <= epsilon;
{
genType tmp = transpose(m);
for(int i = 0; result && i < genType::col_size() - 1 ; ++i)
for(int j = i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(tmp[i], tmp[j], epsilon);
}
return result;
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat2x2<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 2; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 2; ++i)
{
detail::tvec2<T> v;
for(int j = 0; j < 2; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat3x3<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 3; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 3; ++i)
{
detail::tvec3<T> v;
for(int j = 0; j < 3; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename T>
GLM_FUNC_QUALIFIER bool isNormalized(
const detail::tmat4x4<T>& m,
const T epsilon)
{
bool result = true;
for(int i = 0; result && i < 4; ++i)
result = isNormalized(m[i], epsilon);
for(int i = 0; result && i < 4; ++i)
{
detail::tvec4<T> v;
for(int j = 0; j < 4; ++j)
v[j] = m[j][i];
result = isNormalized(v, epsilon);
}
return result;
}
template<typename genType>
GLM_FUNC_QUALIFIER bool isOrthogonal(
const genType& m,
const typename genType::value_type epsilon)
{
bool result = true;
for(int i = 0; result && i < genType::col_size() - 1; ++i)
for(int j= i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(m[i], m[j], epsilon);
if(result)
{
genType tmp = transpose(m);
for(int i = 0; result && i < genType::col_size() - 1 ; ++i)
for(int j = i + 1; result && j < genType::col_size(); ++j)
result = areOrthogonal(tmp[i], tmp[j], epsilon);
}
return result;
}
}//namespace glm

21
glm/gtx/mixed_product.inl
View file

@ -7,15 +7,16 @@
// File : glm/gtx/mixed_product.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER valType mixedProduct(
detail::tvec3<valType> const & v1,
detail::tvec3<valType> const & v2,
detail::tvec3<valType> const & v3)
namespace glm
{
return dot(cross(v1, v2), v3);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType mixedProduct
(
detail::tvec3<valType> const & v1,
detail::tvec3<valType> const & v2,
detail::tvec3<valType> const & v3
)
{
return dot(cross(v1, v2), v3);
}
}//namespace glm

257
glm/gtx/multiple.inl
View file

@ -10,184 +10,111 @@
// - GLM core
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
//////////////////////
// higherMultiple
template <typename genType>
GLM_FUNC_QUALIFIER genType higherMultiple
(
genType const & Source,
genType const & Multiple
)
namespace glm
{
genType Tmp = Source % Multiple;
return Tmp ? Source + Multiple - Tmp : Source;
}
//////////////////////
// higherMultiple
template <>
GLM_FUNC_QUALIFIER detail::thalf higherMultiple
(
detail::thalf const & SourceH,
detail::thalf const & MultipleH
)
{
float Source = SourceH.toFloat();
float Multiple = MultipleH.toFloat();
template <typename genType>
GLM_FUNC_QUALIFIER genType higherMultiple
(
genType const & Source,
genType const & Multiple
)
{
genType Tmp = Source % Multiple;
return Tmp ? Source + Multiple - Tmp : Source;
}
int Tmp = int(float(Source)) % int(Multiple);
return detail::thalf(Tmp ? Source + Multiple - float(Tmp) : Source);
}
template <>
GLM_FUNC_QUALIFIER detail::thalf higherMultiple
(
detail::thalf const & SourceH,
detail::thalf const & MultipleH
)
{
float Source = SourceH.toFloat();
float Multiple = MultipleH.toFloat();
template <>
GLM_FUNC_QUALIFIER float higherMultiple
(
float const & Source,
float const & Multiple
)
{
int Tmp = int(Source) % int(Multiple);
return Tmp ? Source + Multiple - float(Tmp) : Source;
}
int Tmp = int(float(Source)) % int(Multiple);
return detail::thalf(Tmp ? Source + Multiple - float(Tmp) : Source);
}
template <>
GLM_FUNC_QUALIFIER double higherMultiple
(
double const & Source,
double const & Multiple
)
{
long Tmp = long(Source) % long(Multiple);
return Tmp ? Source + Multiple - double(Tmp) : Source;
}
template <>
GLM_FUNC_QUALIFIER float higherMultiple
(
float const & Source,
float const & Multiple
)
{
int Tmp = int(Source) % int(Multiple);
return Tmp ? Source + Multiple - float(Tmp) : Source;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> higherMultiple
(
detail::tvec2<T> const & Source,
detail::tvec2<T> const & Multiple
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = higherMultiple(Source[i], Multiple[i]);
return Result;
}
template <>
GLM_FUNC_QUALIFIER double higherMultiple
(
double const & Source,
double const & Multiple
)
{
long Tmp = long(Source) % long(Multiple);
return Tmp ? Source + Multiple - double(Tmp) : Source;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> higherMultiple
(
detail::tvec3<T> const & Source,
detail::tvec3<T> const & Multiple
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = higherMultiple(Source[i], Multiple[i]);
return Result;
}
VECTORIZE_VEC_VEC(higherMultiple)
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> higherMultiple
(
detail::tvec4<T> const & Source,
detail::tvec4<T> const & Multiple
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = higherMultiple(Source[i], Multiple[i]);
return Result;
}
//////////////////////
// lowerMultiple
//////////////////////
// lowerMultiple
template <typename genType>
GLM_FUNC_QUALIFIER genType lowerMultiple
(
genType const & Source,
genType const & Multiple
)
{
genType Tmp = Source % Multiple;
return Tmp ? Source - Tmp : Source;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType lowerMultiple
(
genType const & Source,
genType const & Multiple
)
{
genType Tmp = Source % Multiple;
return Tmp ? Source - Tmp : Source;
}
template <>
GLM_FUNC_QUALIFIER detail::thalf lowerMultiple
(
detail::thalf const & SourceH,
detail::thalf const & MultipleH
)
{
float Source = SourceH.toFloat();
float Multiple = MultipleH.toFloat();
template <>
GLM_FUNC_QUALIFIER detail::thalf lowerMultiple
(
detail::thalf const & SourceH,
detail::thalf const & MultipleH
)
{
float Source = SourceH.toFloat();
float Multiple = MultipleH.toFloat();
int Tmp = int(float(Source)) % int(float(Multiple));
return detail::thalf(Tmp ? Source - float(Tmp) : Source);
}
int Tmp = int(float(Source)) % int(float(Multiple));
return detail::thalf(Tmp ? Source - float(Tmp) : Source);
}
template <>
GLM_FUNC_QUALIFIER float lowerMultiple
(
float const & Source,
float const & Multiple
)
{
int Tmp = int(Source) % int(Multiple);
return Tmp ? Source - float(Tmp) : Source;
}
template <>
GLM_FUNC_QUALIFIER float lowerMultiple
(
float const & Source,
float const & Multiple
)
{
int Tmp = int(Source) % int(Multiple);
return Tmp ? Source - float(Tmp) : Source;
}
template <>
GLM_FUNC_QUALIFIER double lowerMultiple
(
double const & Source,
double const & Multiple
)
{
long Tmp = long(Source) % long(Multiple);
return Tmp ? Source - double(Tmp) : Source;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> lowerMultiple
(
detail::tvec2<T> const & Source,
detail::tvec2<T> const & Multiple
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = lowerMultiple(Source[i], Multiple[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> lowerMultiple
(
detail::tvec3<T> const & Source,
detail::tvec3<T> const & Multiple
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = lowerMultiple(Source[i], Multiple[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> lowerMultiple
(
detail::tvec4<T> const & Source,
detail::tvec4<T> const & Multiple
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = lowerMultiple(Source[i], Multiple[i]);
return Result;
}
template <>
GLM_FUNC_QUALIFIER double lowerMultiple
(
double const & Source,
double const & Multiple
)
{
long Tmp = long(Source) % long(Multiple);
return Tmp ? Source - double(Tmp) : Source;
}
VECTORIZE_VEC_VEC(lowerMultiple)
}//namespace glm

66
glm/gtx/norm.hpp
View file

@ -56,99 +56,73 @@ namespace glm
//! From GLM_GTX_norm extension.
template <typename T>
T length2(
const T x);
T const & x);
//! Returns the squared length of x.
//! From GLM_GTX_norm extension.
template <typename T>
T length2(
const detail::tvec2<T> & x);
//! Returns the squared length of x.
//! From GLM_GTX_norm extension.
template <typename T>
T length2(
const detail::tvec3<T>& x);
//! Returns the squared length of x.
//! From GLM_GTX_norm extension.
template <typename T>
T length2(
const detail::tvec4<T>& x);
template <typename genType>
typename genType::value_type length2(
genType const & x);
//! Returns the squared length of x.
//! From GLM_GTX_norm extension.
template <typename T>
T length2(
const detail::tquat<T>& q);
detail::tquat<T> const & q);
//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
//! From GLM_GTX_norm extension.
template <typename T>
T distance2(
const T p0,
const T p1);
T const & p0,
T const & p1);
//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
//! From GLM_GTX_norm extension.
template <typename T>
T distance2(
const detail::tvec2<T>& p0,
const detail::tvec2<T>& p1);
//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
//! From GLM_GTX_norm extension.
template <typename T>
T distance2(
const detail::tvec3<T>& p0,
const detail::tvec3<T>& p1);
//! Returns the squared distance between p0 and p1, i.e., length(p0 - p1).
//! From GLM_GTX_norm extension.
template <typename T>
T distance2(
const detail::tvec4<T>& p0,
const detail::tvec4<T>& p1);
template <typename genType>
typename genType::value_type distance2(
genType const & p0,
genType const & p1);
//! Returns the L1 norm between x and y.
//! From GLM_GTX_norm extension.
template <typename T>
T l1Norm(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y);
detail::tvec3<T> const & x,
detail::tvec3<T> const & y);
//! Returns the L1 norm of v.
//! From GLM_GTX_norm extension.
template <typename T>
T l1Norm(
const detail::tvec3<T>& v);
detail::tvec3<T> const & v);
//! Returns the L2 norm between x and y.
//! From GLM_GTX_norm extension.
template <typename T>
T l2Norm(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y);
detail::tvec3<T> const & x,
detail::tvec3<T> const & y);
//! Returns the L2 norm of v.
//! From GLM_GTX_norm extension.
template <typename T>
T l2Norm(
const detail::tvec3<T>& x);
detail::tvec3<T> const & x);
//! Returns the L norm between x and y.
//! From GLM_GTX_norm extension.
template <typename T>
T lxNorm(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y,
detail::tvec3<T> const & x,
detail::tvec3<T> const & y,
unsigned int Depth);
//! Returns the L norm of v.
//! From GLM_GTX_norm extension.
template <typename T>
T lxNorm(
const detail::tvec3<T>& x,
detail::tvec3<T> const & x,
unsigned int Depth);
/// @}

230
glm/gtx/norm.inl
View file

@ -7,120 +7,150 @@
// File : glm/gtx/norm.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER T length2(
const T x)
namespace glm
{
return x * x;
}
template <typename T>
GLM_FUNC_QUALIFIER T length2
(
T const & x
)
{
return x * x;
}
template <typename T>
GLM_FUNC_QUALIFIER T length2(
const detail::tvec2<T>& x)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2
(
detail::tvec2<T> const & x
)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2(
const detail::tvec3<T>& x)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2
(
detail::tvec3<T> const & x
)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2(
const detail::tvec4<T>& x)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2
(
detail::tvec4<T> const & x
)
{
return dot(x, x);
}
template <typename T>
GLM_FUNC_QUALIFIER T length2(
const detail::tquat<T>& q)
{
return q.x * q.x + q.y * q.y + q.z * q.z + q.w * q.w;
}
template <typename T>
GLM_FUNC_QUALIFIER T length2
(
detail::tquat<T> const & q
)
{
return q.x * q.x + q.y * q.y + q.z * q.z + q.w * q.w;
}
template <typename T>
T distance2(
const T p0,
const T p1)
{
return length2(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER T distance2
(
T const & p0,
T const & p1
)
{
return length2(p1 - p0);
}
template <typename T>
T distance2(
const detail::tvec2<T>& p0,
const detail::tvec2<T>& p1)
{
return length2(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER T distance2
(
detail::tvec2<T> const & p0,
detail::tvec2<T> const & p1
)
{
return length2(p1 - p0);
}
template <typename T>
T distance2(
const detail::tvec3<T>& p0,
const detail::tvec3<T>& p1)
{
return length2(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER T distance2
(
detail::tvec3<T> const & p0,
detail::tvec3<T> const & p1
)
{
return length2(p1 - p0);
}
template <typename T>
T distance2(
const detail::tvec4<T>& p0,
const detail::tvec4<T>& p1)
{
return length2(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER T distance2
(
detail::tvec4<T> const & p0,
detail::tvec4<T> const & p1
)
{
return length2(p1 - p0);
}
template <typename T>
GLM_FUNC_QUALIFIER T l1Norm(
const detail::tvec3<T>& a,
const detail::tvec3<T>& b)
{
return abs(b.x - a.x) + abs(b.y - a.y) + abs(b.z - a.z);
}
template <typename T>
GLM_FUNC_QUALIFIER T l1Norm
(
detail::tvec3<T> const & a,
detail::tvec3<T> const & b
)
{
return abs(b.x - a.x) + abs(b.y - a.y) + abs(b.z - a.z);
}
template <typename T>
GLM_FUNC_QUALIFIER T l1Norm(
const detail::tvec3<T>& v)
{
return abs(v.x) + abs(v.y) + abs(v.z);
}
template <typename T>
GLM_FUNC_QUALIFIER T l1Norm
(
detail::tvec3<T> const & v
)
{
return abs(v.x) + abs(v.y) + abs(v.z);
}
template <typename T>
GLM_FUNC_QUALIFIER T l2Norm(
const detail::tvec3<T>& a,
const detail::tvec3<T>& b)
{
return length(b - a);
}
template <typename T>
GLM_FUNC_QUALIFIER T l2Norm
(
detail::tvec3<T> const & a,
detail::tvec3<T> const & b
)
{
return length(b - a);
}
template <typename T>
GLM_FUNC_QUALIFIER T l2Norm(
const detail::tvec3<T>& v)
{
return length(v);
}
template <typename T>
GLM_FUNC_QUALIFIER T l2Norm
(
detail::tvec3<T> const & v
)
{
return length(v);
}
template <typename T>
GLM_FUNC_QUALIFIER T lxNorm(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y,
unsigned int Depth)
{
return pow(pow(y.x - x.x, T(Depth)) + pow(y.y - x.y, T(Depth)) + pow(y.z - x.z, T(Depth)), T(1) / T(Depth));
}
template <typename T>
GLM_FUNC_QUALIFIER T lxNorm
(
detail::tvec3<T> const & x,
detail::tvec3<T> const & y,
unsigned int Depth
)
{
return pow(pow(y.x - x.x, T(Depth)) + pow(y.y - x.y, T(Depth)) + pow(y.z - x.z, T(Depth)), T(1) / T(Depth));
}
template <typename T>
GLM_FUNC_QUALIFIER T lxNorm(
const detail::tvec3<T>& v,
unsigned int Depth)
{
return pow(pow(v.x, T(Depth)) + pow(v.y, T(Depth)) + pow(v.z, T(Depth)), T(1) / T(Depth));
}
template <typename T>
GLM_FUNC_QUALIFIER T lxNorm
(
detail::tvec3<T> const & v,
unsigned int Depth
)
{
return pow(pow(v.x, T(Depth)) + pow(v.y, T(Depth)) + pow(v.z, T(Depth)), T(1) / T(Depth));
}
}//namespace glm

23
glm/gtx/normal.inl
View file

@ -7,17 +7,16 @@
// File : glm/gtx/normal.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> triangleNormal
(
detail::tvec3<T> const & p1,
detail::tvec3<T> const & p2,
detail::tvec3<T> const & p3
)
namespace glm
{
return normalize(cross(p1 - p2, p1 - p3));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> triangleNormal
(
detail::tvec3<T> const & p1,
detail::tvec3<T> const & p2,
detail::tvec3<T> const & p3
)
{
return normalize(cross(p1 - p2, p1 - p3));
}
}//namespace glm

195
glm/gtx/normalize_dot.inl
View file

@ -7,110 +7,109 @@
// File : glm/gtx/normalize_dot.inl
//////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER genType normalizeDot
(
genType const & x,
genType const & y
)
namespace glm
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType normalizeDot
(
genType const & x,
genType const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType normalizeDot
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
)
{
return
glm::dot(x, y) *
glm::inversesqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType fastNormalizeDot
(
genType const & x,
genType const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType fastNormalizeDot
(
genType const & x,
genType const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType fastNormalizeDot
(
detail::tvec4<valType> const & x,
detail::tvec4<valType> const & y
)
{
return
glm::dot(x, y) *
fastInverseSqrt(glm::dot(x, x) *
glm::dot(y, y));
}
}//namespace glm

83
glm/gtx/optimum_pow.inl
View file

@ -7,53 +7,52 @@
// File : glm/gtx/optimum_pow.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER genType pow2(const genType& x)
namespace glm
{
return x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow2(const genType& x)
{
return x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow3(const genType& x)
{
return x * x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow3(const genType& x)
{
return x * x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow4(const genType& x)
{
return x * x * x * x;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType pow4(const genType& x)
{
return x * x * x * x;
}
GLM_FUNC_QUALIFIER bool powOfTwo(int x)
{
return !(x & (x - 1));
}
GLM_FUNC_QUALIFIER bool powOfTwo(int x)
{
return !(x & (x - 1));
}
GLM_FUNC_QUALIFIER detail::tvec2<bool> powOfTwo(const detail::tvec2<int>& x)
{
return detail::tvec2<bool>(
powOfTwo(x.x),
powOfTwo(x.y));
}
GLM_FUNC_QUALIFIER detail::tvec2<bool> powOfTwo(const detail::tvec2<int>& x)
{
return detail::tvec2<bool>(
powOfTwo(x.x),
powOfTwo(x.y));
}
GLM_FUNC_QUALIFIER detail::tvec3<bool> powOfTwo(const detail::tvec3<int>& x)
{
return detail::tvec3<bool>(
powOfTwo(x.x),
powOfTwo(x.y),
powOfTwo(x.z));
}
GLM_FUNC_QUALIFIER detail::tvec4<bool> powOfTwo(const detail::tvec4<int>& x)
{
return detail::tvec4<bool>(
powOfTwo(x.x),
powOfTwo(x.y),
powOfTwo(x.z),
powOfTwo(x.w));
}
GLM_FUNC_QUALIFIER detail::tvec3<bool> powOfTwo(const detail::tvec3<int>& x)
{
return detail::tvec3<bool>(
powOfTwo(x.x),
powOfTwo(x.y),
powOfTwo(x.z));
}
GLM_FUNC_QUALIFIER detail::tvec4<bool> powOfTwo(const detail::tvec4<int>& x)
{
return detail::tvec4<bool>(
powOfTwo(x.x),
powOfTwo(x.y),
powOfTwo(x.z),
powOfTwo(x.w));
}
}//namespace glm

55
glm/gtx/orthonormalize.inl
View file

@ -7,38 +7,37 @@
// File : glm/gtx/orthonormalize.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> orthonormalize
(
const detail::tmat3x3<T>& m
)
namespace glm
{
detail::tmat3x3<T> r = m;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> orthonormalize
(
const detail::tmat3x3<T>& m
)
{
detail::tmat3x3<T> r = m;
r[0] = normalize(r[0]);
r[0] = normalize(r[0]);
float d0 = dot(r[0], r[1]);
r[1] -= r[0] * d0;
r[1] = normalize(r[1]);
float d0 = dot(r[0], r[1]);
r[1] -= r[0] * d0;
r[1] = normalize(r[1]);
float d1 = dot(r[1], r[2]);
d0 = dot(r[0], r[2]);
r[2] -= r[0] * d0 + r[1] * d1;
r[2] = normalize(r[2]);
float d1 = dot(r[1], r[2]);
d0 = dot(r[0], r[2]);
r[2] -= r[0] * d0 + r[1] * d1;
r[2] = normalize(r[2]);
return r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> orthonormalize
(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y
)
{
return normalize(x - y * dot(y, x));
}
return r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> orthonormalize
(
const detail::tvec3<T>& x,
const detail::tvec3<T>& y
)
{
return normalize(x - y * dot(y, x));
}
}//namespace glm

22
glm/gtx/perpendicular.hpp
View file

@ -54,24 +54,10 @@ namespace glm
//! Projects x a perpendicular axis of Normal.
//! From GLM_GTX_perpendicular extension.
template <typename T>
detail::tvec2<T> perp(
detail::tvec2<T> const & x,
detail::tvec2<T> const & Normal);
//! Projects x a perpendicular axis of Normal.
//! From GLM_GTX_perpendicular extension.
template <typename T>
detail::tvec3<T> perp(
detail::tvec3<T> const & x,
detail::tvec3<T> const & Normal);
//! Projects x a perpendicular axis of Normal.
//! From GLM_GTX_perpendicular extension.
template <typename T>
detail::tvec4<T> perp(
detail::tvec4<T> const & x,
detail::tvec4<T> const & Normal);
template <typename vecType>
vecType perp(
vecType const & x,
vecType const & Normal);
/// @}
}//namespace glm

35
glm/gtx/perpendicular.inl
View file

@ -7,30 +7,15 @@
// File : glm/gtx/perpendicular.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> perp(
detail::tvec2<T> const & x,
detail::tvec2<T> const & Normal)
namespace glm
{
return x - proj(x, Normal);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> perp(
detail::tvec3<T> const & x,
detail::tvec3<T> const & Normal)
{
return x - proj(x, Normal);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> perp(
detail::tvec4<T> const & x,
detail::tvec4<T> const & Normal)
{
return x - proj(x, Normal);
}
template <typename vecType>
GLM_FUNC_QUALIFIER vecType perp
(
vecType const & x,
vecType const & Normal
)
{
return x - proj(x, Normal);
}
}//namespace glm

6
glm/gtx/polar_coordinates.hpp
View file

@ -53,12 +53,14 @@ namespace glm
//! Convert Euclidean to Polar coordinates, x is the xz distance, y, the latitude and z the longitude.
//! From GLM_GTX_polar_coordinates extension.
template <typename T>
detail::tvec3<T> polar(const detail::tvec3<T>& euclidean);
detail::tvec3<T> polar(
detail::tvec3<T> const & euclidean);
//! Convert Polar to Euclidean coordinates.
//! From GLM_GTX_polar_coordinates extension.
template <typename T>
detail::tvec3<T> euclidean(const detail::tvec3<T>& polar);
detail::tvec3<T> euclidean(
detail::tvec3<T> const & polar);
/// @}
}//namespace glm

12
glm/gtx/polar_coordinates.inl
View file

@ -10,8 +10,10 @@
namespace glm
{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> polar(
const detail::tvec3<T>& euclidean)
GLM_FUNC_QUALIFIER detail::tvec3<T> polar
(
detail::tvec3<T> const & euclidean
)
{
T length = length(euclidean);
detail::tvec3<T> tmp = euclidean / length;
@ -24,8 +26,10 @@ namespace glm
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> euclidean(
const detail::tvec3<T>& polar)
GLM_FUNC_QUALIFIER detail::tvec3<T> euclidean
(
detail::tvec3<T> const & polar
)
{
T latitude = radians(polar.x);
T longitude = radians(polar.y);

22
glm/gtx/projection.hpp
View file

@ -52,24 +52,10 @@ namespace glm
//! Projects x on Normal.
//! From GLM_GTX_projection extension.
template <typename T>
detail::tvec2<T> proj(
detail::tvec2<T> const & x,
detail::tvec2<T> const & Normal);
//! Projects x on Normal.
//! From GLM_GTX_projection extension.
template <typename T>
detail::tvec3<T> proj(
detail::tvec3<T> const & x,
detail::tvec3<T> const & Normal);
//! Projects x on Normal.
//! From GLM_GTX_projection extension.
template <typename T>
detail::tvec4<T> proj(
detail::tvec4<T> const & x,
detail::tvec4<T> const & Normal);
template <typename vecType>
vecType proj(
vecType const & x,
vecType const & Normal);
/// @}
}//namespace glm

35
glm/gtx/projection.inl
View file

@ -7,30 +7,15 @@
// File : glm/gtx/projection.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> proj(
detail::tvec2<T> const & x,
detail::tvec2<T> const & Normal)
namespace glm
{
return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> proj(
detail::tvec3<T> const & x,
detail::tvec3<T> const & Normal)
{
return dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> proj(
detail::tvec4<T> const & x,
detail::tvec4<T> const & Normal)
{
return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
}
template <typename vecType>
GLM_FUNC_QUALIFIER vecType proj
(
vecType const & x,
vecType const & Normal
)
{
return glm::dot(x, Normal) / glm::dot(Normal, Normal) * Normal;
}
}//namespace glm

521
glm/gtx/quaternion.inl
View file

@ -9,291 +9,290 @@
#include <limits>
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
(
detail::tvec3<valType> const & v,
detail::tquat<valType> const & q
)
namespace glm
{
return inverse(q) * v;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
(
detail::tvec3<valType> const & v,
detail::tquat<valType> const & q
)
{
return inverse(q) * v;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
(
detail::tquat<valType> const & q,
detail::tvec3<valType> const & v
)
{
return q * v;
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
(
detail::tquat<valType> const & q,
detail::tvec3<valType> const & v
)
{
return q * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> squad
(
detail::tquat<T> const & q1,
detail::tquat<T> const & q2,
detail::tquat<T> const & s1,
detail::tquat<T> const & s2,
T const & h)
{
return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> squad
(
detail::tquat<T> const & q1,
detail::tquat<T> const & q2,
detail::tquat<T> const & s1,
detail::tquat<T> const & s2,
T const & h)
{
return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> intermediate
(
detail::tquat<T> const & prev,
detail::tquat<T> const & curr,
detail::tquat<T> const & next
)
{
detail::tquat<T> invQuat = inverse(curr);
return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> intermediate
(
detail::tquat<T> const & prev,
detail::tquat<T> const & curr,
detail::tquat<T> const & next
)
{
detail::tquat<T> invQuat = inverse(curr);
return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> exp
(
detail::tquat<T> const & q,
T const & exponent
)
{
detail::tvec3<T> u(q.x, q.y, q.z);
float a = glm::length(u);
detail::tvec3<T> v(u / a);
return detail::tquat<T>(cos(a), sin(a) * v);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> exp
(
detail::tquat<T> const & q,
T const & exponent
)
{
detail::tvec3<T> u(q.x, q.y, q.z);
float a = glm::length(u);
detail::tvec3<T> v(u / a);
return detail::tquat<T>(cos(a), sin(a) * v);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> log
(
detail::tquat<T> const & q
)
{
if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0)))
{
if(q.w > T(0))
return detail::tquat<T>(log(q.w), T(0), T(0), T(0));
else if(q.w < T(0))
return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0));
else
return detail::tquat<T>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
}
else
{
T Vec3Len = sqrt(q.x * q.x + q.y * q.y + q.z * q.z);
T QuatLen = sqrt(Vec3Len * Vec3Len + q.w * q.w);
T t = atan(Vec3Len, T(q.w)) / Vec3Len;
return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen));
}
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> log
(
detail::tquat<T> const & q
)
{
if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0)))
{
if(q.w > T(0))
return detail::tquat<T>(log(q.w), T(0), T(0), T(0));
else if(q.w < T(0))
return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0));
else
return detail::tquat<T>(std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity(), std::numeric_limits<T>::infinity());
}
else
{
T Vec3Len = sqrt(q.x * q.x + q.y * q.y + q.z * q.z);
T QuatLen = sqrt(Vec3Len * Vec3Len + q.w * q.w);
T t = atan(Vec3Len, T(q.w)) / Vec3Len;
return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen));
}
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> pow
(
detail::tquat<T> const & x,
T const & y
)
{
if(abs(x.w) > T(0.9999))
return x;
float Angle = acos(y);
float NewAngle = Angle * y;
float Div = sin(NewAngle) / sin(Angle);
return detail::tquat<T>(
cos(NewAngle),
x.x * Div,
x.y * Div,
x.z * Div);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> pow
(
detail::tquat<T> const & x,
T const & y
)
{
if(abs(x.w) > T(0.9999))
return x;
float Angle = acos(y);
float NewAngle = Angle * y;
float Div = sin(NewAngle) / sin(Angle);
return detail::tquat<T>(
cos(NewAngle),
x.x * Div,
x.y * Div,
x.z * Div);
}
//template <typename T>
//GLM_FUNC_QUALIFIER detail::tquat<T> sqrt
//(
// detail::tquat<T> const & q
//)
//{
// T q0 = T(1) - dot(q, q);
// return T(2) * (T(1) + q0) * q;
//}
//template <typename T>
//GLM_FUNC_QUALIFIER detail::tquat<T> sqrt
//(
// detail::tquat<T> const & q
//)
//{
// T q0 = T(1) - dot(q, q);
// return T(2) * (T(1) + q0) * q;
//}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
(
detail::tquat<T> const & q,
detail::tvec3<T> const & v
)
{
return q * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
(
detail::tquat<T> const & q,
detail::tvec3<T> const & v
)
{
return q * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
(
detail::tquat<T> const & q,
detail::tvec4<T> const & v
)
{
return q * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
(
detail::tquat<T> const & q,
detail::tvec4<T> const & v
)
{
return q * v;
}
template <typename T>
GLM_FUNC_QUALIFIER T angle
(
detail::tquat<T> const & x
)
{
return glm::degrees(acos(x.w) * T(2));
}
template <typename T>
GLM_FUNC_QUALIFIER T angle
(
detail::tquat<T> const & x
)
{
return glm::degrees(acos(x.w) * T(2));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> axis
(
detail::tquat<T> const & x
)
{
T tmp1 = T(1) - x.w * x.w;
if(tmp1 <= T(0))
return detail::tvec3<T>(0, 0, 1);
T tmp2 = T(1) / sqrt(tmp1);
return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> axis
(
detail::tquat<T> const & x
)
{
T tmp1 = T(1) - x.w * x.w;
if(tmp1 <= T(0))
return detail::tvec3<T>(0, 0, 1);
T tmp2 = T(1) / sqrt(tmp1);
return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
(
valType const & angle,
valType const & x,
valType const & y,
valType const & z
)
{
return angleAxis(angle, detail::tvec3<valType>(x, y, z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
(
valType const & angle,
valType const & x,
valType const & y,
valType const & z
)
{
return angleAxis(angle, detail::tvec3<valType>(x, y, z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
(
valType const & angle,
detail::tvec3<valType> const & v
)
{
detail::tquat<valType> result;
template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
(
valType const & angle,
detail::tvec3<valType> const & v
)
{
detail::tquat<valType> result;
valType a = glm::radians(angle);
valType s = glm::sin(a * valType(0.5));
valType a = glm::radians(angle);
valType s = glm::sin(a * valType(0.5));
result.w = glm::cos(a * valType(0.5));
result.x = v.x * s;
result.y = v.y * s;
result.z = v.z * s;
return result;
}
result.w = glm::cos(a * valType(0.5));
result.x = v.x * s;
result.y = v.y * s;
result.z = v.z * s;
return result;
}
template <typename T>
GLM_FUNC_QUALIFIER T extractRealComponent
(
detail::tquat<T> const & q
)
{
T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z;
if(w < T(0))
return T(0);
else
return -sqrt(w);
}
template <typename T>
GLM_FUNC_QUALIFIER T extractRealComponent
(
detail::tquat<T> const & q
)
{
T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z;
if(w < T(0))
return T(0);
else
return -sqrt(w);
}
template <typename valType>
GLM_FUNC_QUALIFIER valType roll
(
detail::tquat<valType> const & q
)
{
return glm::degrees(atan2(valType(2) * (q.x * q.y + q.w * q.z), q.w * q.w + q.x * q.x - q.y * q.y - q.z * q.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType roll
(
detail::tquat<valType> const & q
)
{
return glm::degrees(atan2(valType(2) * (q.x * q.y + q.w * q.z), q.w * q.w + q.x * q.x - q.y * q.y - q.z * q.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType pitch
(
detail::tquat<valType> const & q
)
{
return glm::degrees(atan2(valType(2) * (q.y * q.z + q.w * q.x), q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType pitch
(
detail::tquat<valType> const & q
)
{
return glm::degrees(atan2(valType(2) * (q.y * q.z + q.w * q.x), q.w * q.w - q.x * q.x - q.y * q.y + q.z * q.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType yaw
(
detail::tquat<valType> const & q
)
{
return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y)));
}
template <typename valType>
GLM_FUNC_QUALIFIER valType yaw
(
detail::tquat<valType> const & q
)
{
return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y)));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles
(
detail::tquat<valType> const & x
)
{
return detail::tvec3<valType>(pitch(x), yaw(x), roll(x));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles
(
detail::tquat<valType> const & x
)
{
return detail::tvec3<valType>(pitch(x), yaw(x), roll(x));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> shortMix
(
detail::tquat<T> const & x,
detail::tquat<T> const & y,
T const & a
)
{
if(a <= typename detail::tquat<T>::value_type(0)) return x;
if(a >= typename detail::tquat<T>::value_type(1)) return y;
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> shortMix
(
detail::tquat<T> const & x,
detail::tquat<T> const & y,
T const & a
)
{
if(a <= typename detail::tquat<T>::value_type(0)) return x;
if(a >= typename detail::tquat<T>::value_type(1)) return y;
T fCos = dot(x, y);
detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
if(fCos < T(0))
{
y2 = -y;
fCos = -fCos;
}
T fCos = dot(x, y);
detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
if(fCos < T(0))
{
y2 = -y;
fCos = -fCos;
}
//if(fCos > 1.0f) // problem
T k0, k1;
if(fCos > T(0.9999))
{
k0 = T(1) - a;
k1 = T(0) + a; //BUG!!! 1.0f + a;
}
else
{
T fSin = sqrt(T(1) - fCos * fCos);
T fAngle = atan(fSin, fCos);
T fOneOverSin = T(1) / fSin;
k0 = sin((T(1) - a) * fAngle) * fOneOverSin;
k1 = sin((T(0) + a) * fAngle) * fOneOverSin;
}
//if(fCos > 1.0f) // problem
T k0, k1;
if(fCos > T(0.9999))
{
k0 = T(1) - a;
k1 = T(0) + a; //BUG!!! 1.0f + a;
}
else
{
T fSin = sqrt(T(1) - fCos * fCos);
T fAngle = atan(fSin, fCos);
T fOneOverSin = T(1) / fSin;
k0 = sin((T(1) - a) * fAngle) * fOneOverSin;
k1 = sin((T(0) + a) * fAngle) * fOneOverSin;
}
return detail::tquat<T>(
k0 * x.w + k1 * y2.w,
k0 * x.x + k1 * y2.x,
k0 * x.y + k1 * y2.y,
k0 * x.z + k1 * y2.z);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> fastMix
(
detail::tquat<T> const & x,
detail::tquat<T> const & y,
T const & a
)
{
return glm::normalize(x * (T(1) - a) + (y * a));
}
return detail::tquat<T>(
k0 * x.w + k1 * y2.w,
k0 * x.x + k1 * y2.x,
k0 * x.y + k1 * y2.y,
k0 * x.z + k1 * y2.z);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> fastMix
(
detail::tquat<T> const & x,
detail::tquat<T> const & y,
T const & a
)
{
return glm::normalize(x * (T(1) - a) + (y * a));
}
}//namespace glm

679
glm/gtx/reciprocal.inl
View file

@ -2,588 +2,181 @@
// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2008-10-09
// Updated : 2008-10-09
// Updated : 2011-10-14
// Licence : This source is under MIT License
// File : glm/gtx/reciprocal.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
#include "../core/_vectorize.hpp"
// sec
template <typename genType>
GLM_FUNC_QUALIFIER genType sec
(
genType const & angle
)
namespace glm
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sec' only accept floating-point values");
// sec
template <typename genType>
GLM_FUNC_QUALIFIER genType sec
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sec' only accept floating-point values");
return genType(1) / glm::cos(angle);
}
return genType(1) / glm::cos(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> sec
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
sec(angle.x),
sec(angle.y));
}
VECTORIZE_VEC(sec)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> sec
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
sec(angle.x),
sec(angle.y),
sec(angle.z));
}
// csc
template <typename genType>
GLM_FUNC_QUALIFIER genType csc
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csc' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> sec
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
sec(angle.x),
sec(angle.y),
sec(angle.z),
sec(angle.w));
}
return genType(1) / glm::sin(angle);
}
// csc
template <typename genType>
GLM_FUNC_QUALIFIER genType csc
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csc' only accept floating-point values");
VECTORIZE_VEC(csc)
return genType(1) / glm::sin(angle);
}
// cot
template <typename genType>
GLM_FUNC_QUALIFIER genType cot
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cot' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> csc
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
csc(angle.x),
csc(angle.y));
}
return genType(1) / glm::tan(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> csc
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
csc(angle.x),
csc(angle.y),
csc(angle.z));
}
VECTORIZE_VEC(cot)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> csc
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
csc(angle.x),
csc(angle.y),
csc(angle.z),
csc(angle.w));
}
// cot
template <typename genType>
GLM_FUNC_QUALIFIER genType cot
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'cot' only accept floating-point values");
return genType(1) / glm::tan(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> cot
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
cot(angle.x),
cot(angle.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cot
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
cot(angle.x),
cot(angle.y),
cot(angle.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> cot
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
cot(angle.x),
cot(angle.y),
cot(angle.z),
cot(angle.w));
}
// asec
template <typename genType>
GLM_FUNC_QUALIFIER genType asec
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values");
// asec
template <typename genType>
GLM_FUNC_QUALIFIER genType asec
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values");
return acos(genType(1) / x);
}
return acos(genType(1) / x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> asec
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
asec(x.x),
asec(x.y));
}
VECTORIZE_VEC(asec)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> asec
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
asec(x.x),
asec(x.y),
asec(x.z));
}
// acsc
template <typename genType>
GLM_FUNC_QUALIFIER genType acsc
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsc' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> asec
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
asec(x.x),
asec(x.y),
asec(x.z),
asec(x.w));
}
return asin(genType(1) / x);
}
// acsc
template <typename genType>
GLM_FUNC_QUALIFIER genType acsc
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsc' only accept floating-point values");
VECTORIZE_VEC(acsc)
return asin(genType(1) / x);
}
// acot
template <typename genType>
GLM_FUNC_QUALIFIER genType acot
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acot' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> acsc
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
acsc(x.x),
acsc(x.y));
}
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
return pi_over_2 - atan(x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> acsc
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
acsc(x.x),
acsc(x.y),
acsc(x.z));
}
VECTORIZE_VEC(acot)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> acsc
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
acsc(x.x),
acsc(x.y),
acsc(x.z),
acsc(x.w));
}
// sech
template <typename genType>
GLM_FUNC_QUALIFIER genType sech
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values");
// acot
template <typename genType>
GLM_FUNC_QUALIFIER genType acot
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acot' only accept floating-point values");
return genType(1) / glm::cosh(angle);
}
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
return pi_over_2 - atan(x);
}
VECTORIZE_VEC(sech)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> acot
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
acot(x.x),
acot(x.y));
}
// csch
template <typename genType>
GLM_FUNC_QUALIFIER genType csch
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csch' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> acot
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
acot(x.x),
acot(x.y),
acot(x.z));
}
return genType(1) / glm::sinh(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> acot
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
acot(x.x),
acot(x.y),
acot(x.z),
acot(x.w));
}
VECTORIZE_VEC(csch)
// sech
template <typename genType>
GLM_FUNC_QUALIFIER genType sech
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values");
// coth
template <typename genType>
GLM_FUNC_QUALIFIER genType coth
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'coth' only accept floating-point values");
return genType(1) / glm::cosh(angle);
}
return glm::cosh(angle) / glm::sinh(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> sech
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
sech(angle.x),
sech(angle.y));
}
VECTORIZE_VEC(coth)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> sech
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
sech(angle.x),
sech(angle.y),
sech(angle.z));
}
// asech
template <typename genType>
GLM_FUNC_QUALIFIER genType asech
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asech' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> sech
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
sech(angle.x),
sech(angle.y),
sech(angle.z),
sech(angle.w));
}
return acosh(genType(1) / x);
}
// csch
template <typename genType>
GLM_FUNC_QUALIFIER genType csch
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csch' only accept floating-point values");
VECTORIZE_VEC(asech)
return genType(1) / glm::sinh(angle);
}
// acsch
template <typename genType>
GLM_FUNC_QUALIFIER genType acsch
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsch' only accept floating-point values");
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> csch
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
csch(angle.x),
csch(angle.y));
}
return asinh(genType(1) / x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> csch
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
csch(angle.x),
csch(angle.y),
csch(angle.z));
}
VECTORIZE_VEC(acsch)
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> csch
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
csch(angle.x),
csch(angle.y),
csch(angle.z),
csch(angle.w));
}
// acoth
template <typename genType>
GLM_FUNC_QUALIFIER genType acoth
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acoth' only accept floating-point values");
// coth
template <typename genType>
GLM_FUNC_QUALIFIER genType coth
(
genType const & angle
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'coth' only accept floating-point values");
return glm::cosh(angle) / glm::sinh(angle);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> coth
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
coth(angle.x),
coth(angle.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> coth
(
detail::tvec3<valType> const & angle
)
{
return detail::tvec3<valType>(
coth(angle.x),
coth(angle.y),
coth(angle.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> coth
(
detail::tvec4<valType> const & angle
)
{
return detail::tvec4<valType>(
coth(angle.x),
coth(angle.y),
coth(angle.z),
coth(angle.w));
}
// asech
template <typename genType>
GLM_FUNC_QUALIFIER genType asech
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asech' only accept floating-point values");
return acosh(genType(1) / x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> asech
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
asech(x.x),
asech(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> asech
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
asech(x.x),
asech(x.y),
asech(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> asech
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
asech(x.x),
asech(x.y),
asech(x.z),
asech(x.w));
}
// acsch
template <typename genType>
GLM_FUNC_QUALIFIER genType acsch
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsch' only accept floating-point values");
return asinh(genType(1) / x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> acsch
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
acsch(x.x),
acsch(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> acsch
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
acsch(x.x),
acsch(x.y),
acsch(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> acsch
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
acsch(x.x),
acsch(x.y),
acsch(x.z),
acsch(x.w));
}
// acoth
template <typename genType>
GLM_FUNC_QUALIFIER genType acoth
(
genType const & x
)
{
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acoth' only accept floating-point values");
return atanh(genType(1) / x);
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> acoth
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
acoth(x.x),
acoth(x.y));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> acoth
(
detail::tvec3<valType> const & x
)
{
return detail::tvec3<valType>(
acoth(x.x),
acoth(x.y),
acoth(x.z));
}
template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> acoth
(
detail::tvec4<valType> const & x
)
{
return detail::tvec4<valType>(
acoth(x.x),
acoth(x.y),
acoth(x.z),
acoth(x.w));
}
return atanh(genType(1) / x);
}
VECTORIZE_VEC(acoth)
}//namespace glm

269
glm/gtx/rotate_vector.inl
View file

@ -7,139 +7,158 @@
// File : glm/gtx/rotate_vector.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> rotate(
detail::tvec2<T> const & v,
T const & angle)
namespace glm
{
detail::tvec2<T> Result;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> rotate
(
detail::tvec2<T> const & v,
T const & angle
)
{
detail::tvec2<T> Result;
T const Cos = cos(radians(angle));
T const Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotate(
const detail::tvec3<T> & v,
T const & angle,
const detail::tvec3<T> & normal)
{
return detail::tmat3x3<T>(glm::rotate(angle, normal)) * v;
}
/*
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateGTX(
const detail::tvec3<T>& x,
T angle,
const detail::tvec3<T>& normal)
{
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
}
*/
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotate(
detail::tvec4<T> const & v,
T const & angle,
detail::tvec3<T> const & normal)
{
return rotate(angle, normal) * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
(
detail::tvec3<T> const & v,
T const & angle,
detail::tvec3<T> const & normal
)
{
return detail::tmat3x3<T>(glm::rotate(angle, normal)) * v;
}
/*
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateGTX(
const detail::tvec3<T>& x,
T angle,
const detail::tvec3<T>& normal)
{
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
return x * Cos + ((x * normal) * (T(1) - Cos)) * normal + cross(x, normal) * Sin;
}
*/
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
(
detail::tvec4<T> const & v,
T const & angle,
detail::tvec3<T> const & normal
)
{
return rotate(angle, normal) * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateX(
detail::tvec3<T> const & v,
T const & angle)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.y = v.y * Cos - v.z * Sin;
Result.z = v.y * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateX
(
detail::tvec3<T> const & v,
T const & angle
)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.y = v.y * Cos - v.z * Sin;
Result.z = v.y * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateY(
detail::tvec3<T> const & v,
T const & angle)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos + v.z * Sin;
Result.z = -v.x * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateY
(
detail::tvec3<T> const & v,
T const & angle
)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos + v.z * Sin;
Result.z = -v.x * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateZ(
detail::tvec3<T> const & v,
T const & angle)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotateZ
(
detail::tvec3<T> const & v,
T const & angle
)
{
detail::tvec3<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateX(
detail::tvec4<T> const & v,
T const & angle)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.y = v.y * Cos - v.z * Sin;
Result.z = v.y * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateX
(
detail::tvec4<T> const & v,
T const & angle
)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.y = v.y * Cos - v.z * Sin;
Result.z = v.y * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateY(
detail::tvec4<T> const & v,
T const & angle)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos + v.z * Sin;
Result.z = -v.x * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateY
(
detail::tvec4<T> const & v,
T const & angle
)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos + v.z * Sin;
Result.z = -v.x * Sin + v.z * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateZ(
detail::tvec4<T> const & v,
T const & angle)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotateZ
(
detail::tvec4<T> const & v,
T const & angle
)
{
detail::tvec4<T> Result = v;
const T Cos = cos(radians(angle));
const T Sin = sin(radians(angle));
Result.x = v.x * Cos - v.y * Sin;
Result.y = v.x * Sin + v.y * Cos;
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> orientation(
detail::tvec3<T> const & Normal,
detail::tvec3<T> const & Up)
{
if(all(equal(Normal, Up)))
return detail::tmat4x4<T>(T(1));
detail::tvec3<T> RotationAxis = cross(Up, Normal);
T Angle = degrees(acos(dot(Normal, Up)));
return rotate(Angle, RotationAxis);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> orientation
(
detail::tvec3<T> const & Normal,
detail::tvec3<T> const & Up
)
{
if(all(equal(Normal, Up)))
return detail::tmat4x4<T>(T(1));
detail::tvec3<T> RotationAxis = cross(Up, Normal);
T Angle = degrees(acos(dot(Normal, Up)));
return rotate(Angle, RotationAxis);
}
}//namespace glm

261
glm/gtx/transform2.inl
View file

@ -7,149 +7,148 @@
// File : glm/gtx/transform2.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> shearX2D(
const detail::tmat3x3<T>& m,
T s)
namespace glm
{
detail::tmat3x3<T> r(1);
r[0][1] = s;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> shearX2D(
const detail::tmat3x3<T>& m,
T s)
{
detail::tmat3x3<T> r(1);
r[0][1] = s;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> shearY2D(
const detail::tmat3x3<T>& m,
T s)
{
detail::tmat3x3<T> r(1);
r[1][0] = s;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> shearY2D(
const detail::tmat3x3<T>& m,
T s)
{
detail::tmat3x3<T> r(1);
r[1][0] = s;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearX3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[1][0] = s;
r[2][0] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearX3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[1][0] = s;
r[2][0] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearY3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[0][1] = s;
r[2][1] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearY3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[0][1] = s;
r[2][1] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearZ3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[0][2] = s;
r[1][2] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> shearZ3D(
const detail::tmat4x4<T>& m,
T s,
T t)
{
detail::tmat4x4<T> r(1);
r[0][2] = s;
r[1][2] = t;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> reflect2D(
const detail::tmat3x3<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat3x3<T> r(1);
r[0][0] = 1 - 2 * normal.x * normal.x;
r[0][1] = -2 * normal.x * normal.y;
r[1][0] = -2 * normal.x * normal.y;
r[1][1] = 1 - 2 * normal.y * normal.y;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> reflect2D(
const detail::tmat3x3<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat3x3<T> r(1);
r[0][0] = 1 - 2 * normal.x * normal.x;
r[0][1] = -2 * normal.x * normal.y;
r[1][0] = -2 * normal.x * normal.y;
r[1][1] = 1 - 2 * normal.y * normal.y;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> reflect3D(
const detail::tmat4x4<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat4x4<T> r(1);
r[0][0] = 1 - 2 * normal.x * normal.x;
r[0][1] = -2 * normal.x * normal.y;
r[0][2] = -2 * normal.x * normal.z;
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> reflect3D(
const detail::tmat4x4<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat4x4<T> r(1);
r[0][0] = 1 - 2 * normal.x * normal.x;
r[0][1] = -2 * normal.x * normal.y;
r[0][2] = -2 * normal.x * normal.z;
r[1][0] = -2 * normal.x * normal.y;
r[1][1] = 1 - 2 * normal.y * normal.y;
r[1][2] = -2 * normal.y * normal.z;
r[1][0] = -2 * normal.x * normal.y;
r[1][1] = 1 - 2 * normal.y * normal.y;
r[1][2] = -2 * normal.y * normal.z;
r[2][0] = -2 * normal.x * normal.z;
r[2][1] = -2 * normal.y * normal.z;
r[2][2] = 1 - 2 * normal.z * normal.z;
return m * r;
}
r[2][0] = -2 * normal.x * normal.z;
r[2][1] = -2 * normal.y * normal.z;
r[2][2] = 1 - 2 * normal.z * normal.z;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> proj2D(
const detail::tmat3x3<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat3x3<T> r(1);
r[0][0] = 1 - normal.x * normal.x;
r[0][1] = - normal.x * normal.y;
r[1][0] = - normal.x * normal.y;
r[1][1] = 1 - normal.y * normal.y;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> proj2D(
const detail::tmat3x3<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat3x3<T> r(1);
r[0][0] = 1 - normal.x * normal.x;
r[0][1] = - normal.x * normal.y;
r[1][0] = - normal.x * normal.y;
r[1][1] = 1 - normal.y * normal.y;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> proj3D(
const detail::tmat4x4<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat4x4<T> r(1);
r[0][0] = 1 - normal.x * normal.x;
r[0][1] = - normal.x * normal.y;
r[0][2] = - normal.x * normal.z;
r[1][0] = - normal.x * normal.y;
r[1][1] = 1 - normal.y * normal.y;
r[1][2] = - normal.y * normal.z;
r[2][0] = - normal.x * normal.z;
r[2][1] = - normal.y * normal.z;
r[2][2] = 1 - normal.z * normal.z;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> proj3D(
const detail::tmat4x4<T>& m,
const detail::tvec3<T>& normal)
{
detail::tmat4x4<T> r(1);
r[0][0] = 1 - normal.x * normal.x;
r[0][1] = - normal.x * normal.y;
r[0][2] = - normal.x * normal.z;
r[1][0] = - normal.x * normal.y;
r[1][1] = 1 - normal.y * normal.y;
r[1][2] = - normal.y * normal.z;
r[2][0] = - normal.x * normal.z;
r[2][1] = - normal.y * normal.z;
r[2][2] = 1 - normal.z * normal.z;
return m * r;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scaleBias(
T scale,
T bias)
{
detail::tmat4x4<T> result;
result[3] = detail::tvec4<T>(detail::tvec3<T>(bias), T(1));
result[0][0] = scale;
result[1][1] = scale;
result[2][2] = scale;
return result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scaleBias(
const detail::tmat4x4<T>& m,
T scale,
T bias)
{
return m * scaleBias(scale, bias);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scaleBias(
T scale,
T bias)
{
detail::tmat4x4<T> result;
result[3] = detail::tvec4<T>(detail::tvec3<T>(bias), T(1));
result[0][0] = scale;
result[1][1] = scale;
result[2][2] = scale;
return result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> scaleBias(
const detail::tmat4x4<T>& m,
T scale,
T bias)
{
return m * scaleBias(scale, bias);
}
}//namespace glm

343
glm/gtx/ulp.inl
View file

@ -42,34 +42,34 @@ typedef union
} ieee_double_shape_type;
#define GLM_EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
#define GLM_GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
#define GLM_SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
#define GLM_INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
namespace glm{
namespace detail
@ -181,218 +181,119 @@ namespace detail
# define GLM_NEXT_AFTER_DBL(x, toward) nextafter((x), (toward))
#endif
namespace glm{
GLM_FUNC_QUALIFIER float next_float(float const & x)
namespace glm
{
return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::max());
}
GLM_FUNC_QUALIFIER float next_float(float const & x)
{
return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::max());
}
GLM_FUNC_QUALIFIER double next_float(double const & x)
{
return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::max());
}
GLM_FUNC_QUALIFIER double next_float(double const & x)
{
return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::max());
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = next_float(x[i]);
return Result;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = next_float(x[i]);
return Result;
}
GLM_FUNC_QUALIFIER float prev_float(float const & x)
{
return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::min());
}
GLM_FUNC_QUALIFIER float prev_float(float const & x)
{
return GLM_NEXT_AFTER_FLT(x, std::numeric_limits<float>::min());
}
GLM_FUNC_QUALIFIER double prev_float(double const & x)
{
return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::min());
}
GLM_FUNC_QUALIFIER double prev_float(double const & x)
{
return GLM_NEXT_AFTER_DBL(x, std::numeric_limits<double>::min());
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = prev_float(x[i]);
return Result;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = prev_float(x[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER T next_float(T const & x, uint const & ulps)
{
T temp = x;
for(std::size_t i = 0; i < ulps; ++i)
temp = next_float(temp);
return temp;
}
template <typename T>
GLM_FUNC_QUALIFIER T next_float(T const & x, uint const & ulps)
{
T temp = x;
for(std::size_t i = 0; i < ulps; ++i)
temp = next_float(temp);
return temp;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x, vecType<uint> const & ulps)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = next_float(x[i], ulps[i]);
return Result;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> next_float(vecType<T> const & x, vecType<uint> const & ulps)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = next_float(x[i], ulps[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER T prev_float(T const & x, uint const & ulps)
{
T temp = x;
for(std::size_t i = 0; i < ulps; ++i)
temp = prev_float(temp);
return temp;
}
template <typename T>
GLM_FUNC_QUALIFIER T prev_float(T const & x, uint const & ulps)
{
T temp = x;
for(std::size_t i = 0; i < ulps; ++i)
temp = prev_float(temp);
return temp;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x, vecType<uint> const & ulps)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = prev_float(x[i], ulps[i]);
return Result;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<T> prev_float(vecType<T> const & x, vecType<uint> const & ulps)
{
vecType<T> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = prev_float(x[i], ulps[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER uint float_distance(T const & x, T const & y)
{
uint ulp = 0;
template <typename T>
GLM_FUNC_QUALIFIER uint float_distance(T const & x, T const & y)
{
uint ulp = 0;
if(x < y)
{
T temp = x;
while(temp != y && ulp < std::numeric_limits<std::size_t>::max())
{
++ulp;
temp = next_float(temp);
}
}
else if(y < x)
{
T temp = y;
while(temp != x && ulp < std::numeric_limits<std::size_t>::max())
{
++ulp;
temp = next_float(temp);
}
}
else // ==
{
if(x < y)
{
T temp = x;
while(temp != y && ulp < std::numeric_limits<std::size_t>::max())
{
++ulp;
temp = next_float(temp);
}
}
else if(y < x)
{
T temp = y;
while(temp != x && ulp < std::numeric_limits<std::size_t>::max())
{
++ulp;
temp = next_float(temp);
}
}
else // ==
{
}
}
return ulp;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<uint> float_distance(vecType<T> const & x, vecType<T> const & y)
{
vecType<uint> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = float_distance(x[i], y[i]);
return Result;
}
/*
inline std::size_t ulp
(
detail::thalf const & a,
detail::thalf const & b
)
{
std::size_t Count = 0;
float TempA(a);
float TempB(b);
//while((TempA = _nextafterf(TempA, TempB)) != TempB)
++Count;
return Count;
}
inline std::size_t ulp
(
float const & a,
float const & b
)
{
std::size_t Count = 0;
float Temp = a;
//while((Temp = _nextafterf(Temp, b)) != b)
{
std::cout << Temp << " " << b << std::endl;
++Count;
}
return Count;
}
inline std::size_t ulp
(
double const & a,
double const & b
)
{
std::size_t Count = 0;
double Temp = a;
//while((Temp = _nextafter(Temp, b)) != b)
{
std::cout << Temp << " " << b << std::endl;
++Count;
}
return Count;
}
template <typename T>
inline std::size_t ulp
(
detail::tvec2<T> const & a,
detail::tvec2<T> const & b
)
{
std::size_t ulps[] =
{
ulp(a[0], b[0]),
ulp(a[1], b[1])
};
return glm::max(ulps[0], ulps[1]);
}
template <typename T>
inline std::size_t ulp
(
detail::tvec3<T> const & a,
detail::tvec3<T> const & b
)
{
std::size_t ulps[] =
{
ulp(a[0], b[0]),
ulp(a[1], b[1]),
ulp(a[2], b[2])
};
return glm::max(glm::max(ulps[0], ulps[1]), ulps[2]);
}
template <typename T>
inline std::size_t ulp
(
detail::tvec4<T> const & a,
detail::tvec4<T> const & b
)
{
std::size_t ulps[] =
{
ulp(a[0], b[0]),
ulp(a[1], b[1]),
ulp(a[2], b[2]),
ulp(a[3], b[3])
};
return glm::max(glm::max(ulps[0], ulps[1]), glm::max(ulps[2], ulps[3]));
}
*/
return ulp;
}
template<typename T, template<typename> class vecType>
GLM_FUNC_QUALIFIER vecType<uint> float_distance(vecType<T> const & x, vecType<T> const & y)
{
vecType<uint> Result;
for(std::size_t i = 0; i < Result.length(); ++i)
Result[i] = float_distance(x[i], y[i]);
return Result;
}
}//namespace glm

4
glm/gtx/unsigned_int.inl
View file

@ -7,7 +7,7 @@
// File : glm/gtx/unsigned_int.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
namespace glm
{
}//namespace glm

81
glm/gtx/vector_access.inl
View file

@ -7,48 +7,47 @@
// File : glm/gtx/vector_access.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec2<valType>& v,
valType const & x,
valType const & y
)
namespace glm
{
v.x = x;
v.y = y;
}
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec2<valType>& v,
valType const & x,
valType const & y
)
{
v.x = x;
v.y = y;
}
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec3<valType>& v,
valType const & x,
valType const & y,
valType const & z
)
{
v.x = x;
v.y = y;
v.z = z;
}
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec4<valType>& v,
valType const & x,
valType const & y,
valType const & z,
valType const & w
)
{
v.x = x;
v.y = y;
v.z = z;
v.w = w;
}
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec3<valType>& v,
valType const & x,
valType const & y,
valType const & z
)
{
v.x = x;
v.y = y;
v.z = z;
}
template <typename valType>
GLM_FUNC_QUALIFIER void set
(
detail::tvec4<valType>& v,
valType const & x,
valType const & y,
valType const & z,
valType const & w
)
{
v.x = x;
v.y = y;
v.z = z;
v.w = w;
}
}//namespace glm

79
glm/gtx/vector_angle.inl
View file

@ -7,48 +7,47 @@
// File : glm/gtx/vector_angle.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type angle
(
genType const & x,
genType const & y
)
namespace glm
{
return degrees(acos(dot(x, y)));
}
template <typename genType>
GLM_FUNC_QUALIFIER typename genType::value_type angle
(
genType const & x,
genType const & y
)
{
return degrees(acos(dot(x, y)));
}
//! \todo epsilon is hard coded to 0.01
template <typename valType>
GLM_FUNC_QUALIFIER valType orientedAngle
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
valType Angle = glm::degrees(acos(dot(x, y)));
detail::tvec2<valType> TransformedVector = glm::rotate(x, Angle);
if(all(equalEpsilon(y, TransformedVector, valType(0.01))))
return Angle;
else
return -Angle;
}
//! \todo epsilon is hard coded to 0.01
template <typename valType>
GLM_FUNC_QUALIFIER valType orientedAngle
(
detail::tvec2<valType> const & x,
detail::tvec2<valType> const & y
)
{
valType Angle = glm::degrees(acos(dot(x, y)));
detail::tvec2<valType> TransformedVector = glm::rotate(x, Angle);
if(all(equalEpsilon(y, TransformedVector, valType(0.01))))
return Angle;
else
return -Angle;
}
template <typename valType>
GLM_FUNC_QUALIFIER valType orientedAngle
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & ref
)
{
valType Angle = glm::degrees(glm::acos(glm::dot(x, y)));
if(glm::dot(ref, glm::cross(x, y)) < valType(0))
return -Angle;
else
return Angle;
}
template <typename valType>
GLM_FUNC_QUALIFIER valType orientedAngle
(
detail::tvec3<valType> const & x,
detail::tvec3<valType> const & y,
detail::tvec3<valType> const & ref
)
{
valType Angle = glm::degrees(glm::acos(glm::dot(x, y)));
if(glm::dot(ref, glm::cross(x, y)) < valType(0))
return -Angle;
else
return Angle;
}
}//namespace glm

281
glm/gtx/vector_query.inl
View file

@ -12,159 +12,158 @@
#include <cassert>
namespace glm{
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec2<T> const & v0,
detail::tvec2<T> const & v1,
T const & epsilon
)
namespace glm
{
return length(cross(detail::tvec3<T>(v0, T(0)), detail::tvec3<T>(v1, T(0)))) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec2<T> const & v0,
detail::tvec2<T> const & v1,
T const & epsilon
)
{
return length(cross(detail::tvec3<T>(v0, T(0)), detail::tvec3<T>(v1, T(0)))) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec3<T> const & v0,
detail::tvec3<T> const & v1,
T const & epsilon
)
{
return length(cross(v0, v1)) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec3<T> const & v0,
detail::tvec3<T> const & v1,
T const & epsilon
)
{
return length(cross(v0, v1)) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec4<T> const & v0,
detail::tvec4<T> const & v1,
T const & epsilon
)
{
return length(cross(detail::tvec3<T>(v0), detail::tvec3<T>(v1))) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool areCollinear
(
detail::tvec4<T> const & v0,
detail::tvec4<T> const & v1,
T const & epsilon
)
{
return length(cross(detail::tvec3<T>(v0), detail::tvec3<T>(v1))) < epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areOpposite
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
assert(isNormalized(v0) && isNormalized(v1));
return((typename genType::value_type(1) + dot(v0, v1)) <= epsilon);
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areOpposite
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
assert(isNormalized(v0) && isNormalized(v1));
return((typename genType::value_type(1) + dot(v0, v1)) <= epsilon);
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areOrthogonal
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
return abs(dot(v0, v1)) <= max(
typename genType::value_type(1),
length(v0)) * max(
template <typename genType>
GLM_FUNC_QUALIFIER bool areOrthogonal
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
return abs(dot(v0, v1)) <= max(
typename genType::value_type(1),
length(v1)) * epsilon;
}
length(v0)) * max(
typename genType::value_type(1),
length(v1)) * epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool isNormalized
(
genType const & v,
typename genType::value_type const & epsilon
)
{
return abs(length(v) - typename genType::value_type(1)) <= typename genType::value_type(2) * epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool isNormalized
(
genType const & v,
typename genType::value_type const & epsilon
)
{
return abs(length(v) - typename genType::value_type(1)) <= typename genType::value_type(2) * epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool isNull
(
genType const & v,
typename genType::value_type const & epsilon
)
{
return length(v) <= epsilon;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool isNull
(
genType const & v,
typename genType::value_type const & epsilon
)
{
return length(v) <= epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool isCompNull
(
T const & s,
T const & epsilon
)
{
return abs(s) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER bool isCompNull
(
T const & s,
T const & epsilon
)
{
return abs(s) < epsilon;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isCompNull
(
detail::tvec2<T> const & v,
T const & epsilon)
{
return detail::tvec2<bool>(
(abs(v.x) < epsilon),
(abs(v.y) < epsilon));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<bool> isCompNull
(
detail::tvec2<T> const & v,
T const & epsilon)
{
return detail::tvec2<bool>(
(abs(v.x) < epsilon),
(abs(v.y) < epsilon));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isCompNull
(
detail::tvec3<T> const & v,
T const & epsilon
)
{
return detail::tvec3<bool>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<bool> isCompNull
(
detail::tvec3<T> const & v,
T const & epsilon
)
{
return detail::tvec3<bool>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isCompNull
(
detail::tvec4<T> const & v,
T const & epsilon
)
{
return detail::tvec4<bool>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon,
abs(v.w) < epsilon);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<bool> isCompNull
(
detail::tvec4<T> const & v,
T const & epsilon
)
{
return detail::tvec4<bool>(
abs(v.x) < epsilon,
abs(v.y) < epsilon,
abs(v.z) < epsilon,
abs(v.w) < epsilon);
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areOrthonormal
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areSimilar
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
bool similar = true;
for(typename genType::size_type i = 0; similar && i < genType::value_size(); i++)
similar = (abs(v0[i] - v1[i]) <= epsilon);
return similar;
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areOrthonormal
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
return isNormalized(v0, epsilon) && isNormalized(v1, epsilon) && (abs(dot(v0, v1)) <= epsilon);
}
template <typename genType>
GLM_FUNC_QUALIFIER bool areSimilar
(
genType const & v0,
genType const & v1,
typename genType::value_type const & epsilon
)
{
bool similar = true;
for(typename genType::size_type i = 0; similar && i < genType::value_size(); i++)
similar = (abs(v0[i] - v1[i]) <= epsilon);
return similar;
}
}//namespace glm

203
glm/gtx/verbose_operator.inl
View file

@ -7,119 +7,118 @@
// File : glm/gtx/verbose_operator.inl
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER genType add(genType const & a, genType const & b)
namespace glm
{
return a + b;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType add(genType const & a, genType const & b)
{
return a + b;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType sub(genType const & a, genType const & b)
{
return a - b;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType sub(genType const & a, genType const & b)
{
return a - b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> mul
(
detail::tmat2x2<T> const & a,
detail::tmat2x2<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat2x2<T> mul
(
detail::tmat2x2<T> const & a,
detail::tmat2x2<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> mul
(
detail::tmat3x3<T> const & a,
detail::tmat3x3<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> mul
(
detail::tmat3x3<T> const & a,
detail::tmat3x3<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> mul
(
detail::tmat4x4<T> const & a,
detail::tmat4x4<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> mul
(
detail::tmat4x4<T> const & a,
detail::tmat4x4<T> const & b
)
{
return a * b;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mul
(
detail::tmat2x2<T> const & m,
detail::tvec2<T> const & v
)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mul
(
detail::tmat2x2<T> const & m,
detail::tvec2<T> const & v
)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mul
(
detail::tmat3x3<T> const & m,
detail::tvec3<T> const & v)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mul
(
detail::tmat3x3<T> const & m,
detail::tvec3<T> const & v)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mul
(
detail::tmat4x4<T> const & m,
detail::tvec4<T> const & v
)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mul
(
detail::tmat4x4<T> const & m,
detail::tvec4<T> const & v
)
{
return m * v;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mul
(
detail::tvec2<T> const & v,
detail::tmat2x2<T> const & m
)
{
return v * m;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mul
(
detail::tvec2<T> const & v,
detail::tmat2x2<T> const & m
)
{
return v * m;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mul
(
detail::tvec3<T> const & v,
detail::tmat3x3<T> const & m
)
{
return v * m;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mul
(
detail::tvec3<T> const & v,
detail::tmat3x3<T> const & m
)
{
return v * m;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mul
(
detail::tvec4<T> const & v,
detail::tmat4x4<T> const & m
)
{
return v * m;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mul
(
detail::tvec4<T> const & v,
detail::tmat4x4<T> const & m
)
{
return v * m;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType div(genType const & a, genType const & b)
{
return a / b;
}
template <typename genTypeT, typename genTypeU, typename genTypeV>
GLM_FUNC_QUALIFIER genTypeT mad(genTypeT const & a, genTypeU const & b, genTypeV const & c)
{
return a * b + c;
}
template <typename genType>
GLM_FUNC_QUALIFIER genType div(genType const & a, genType const & b)
{
return a / b;
}
template <typename genTypeT, typename genTypeU, typename genTypeV>
GLM_FUNC_QUALIFIER genTypeT mad(genTypeT const & a, genTypeU const & b, genTypeV const & c)
{
return a * b + c;
}
}//namespace glm

275
glm/gtx/wrap.inl
View file

@ -10,157 +10,156 @@
// - GLM core
///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{
template <typename genType>
GLM_FUNC_QUALIFIER genType clamp
(
genType const & Texcoord
)
namespace glm
{
return glm::clamp(Texcoord, genType(0), genType(1));
}
template <typename genType>
GLM_FUNC_QUALIFIER genType clamp
(
genType const & Texcoord
)
{
return glm::clamp(Texcoord, genType(0), genType(1));
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> clamp
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> clamp
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> clamp
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> clamp
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> clamp
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> clamp
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = clamp(Texcoord[i]);
return Result;
}
////////////////////////
// repeat
////////////////////////
// repeat
template <typename genType>
GLM_FUNC_QUALIFIER genType repeat
(
genType const & Texcoord
)
{
return glm::fract(Texcoord);
}
template <typename genType>
GLM_FUNC_QUALIFIER genType repeat
(
genType const & Texcoord
)
{
return glm::fract(Texcoord);
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> repeat
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> repeat
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> repeat
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> repeat
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> repeat
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> repeat
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = repeat(Texcoord[i]);
return Result;
}
////////////////////////
// mirrorRepeat
////////////////////////
// mirrorRepeat
template <typename genType>
GLM_FUNC_QUALIFIER genType mirrorRepeat
(
genType const & Texcoord
)
{
genType const Clamp = genType(int(glm::floor(Texcoord)) % 2);
genType const Floor = glm::floor(Texcoord);
genType const Rest = Texcoord - Floor;
genType const Mirror = Clamp + Rest;
template <typename genType>
GLM_FUNC_QUALIFIER genType mirrorRepeat
(
genType const & Texcoord
)
{
genType const Clamp = genType(int(glm::floor(Texcoord)) % 2);
genType const Floor = glm::floor(Texcoord);
genType const Rest = Texcoord - Floor;
genType const Mirror = Clamp + Rest;
genType Out;
if(Mirror >= genType(1))
Out = genType(1) - Rest;
else
Out = Rest;
return Out;
}
genType Out;
if(Mirror >= genType(1))
Out = genType(1) - Rest;
else
Out = Rest;
return Out;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mirrorRepeat
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> mirrorRepeat
(
detail::tvec2<T> const & Texcoord
)
{
detail::tvec2<T> Result;
for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mirrorRepeat
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mirrorRepeat
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> mirrorRepeat
(
detail::tvec3<T> const & Texcoord
)
{
detail::tvec3<T> Result;
for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> mirrorRepeat
(
detail::tvec4<T> const & Texcoord
)
{
detail::tvec4<T> Result;
for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
Result[i] = mirrorRepeat(Texcoord[i]);
return Result;
}
}//namespace glm