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Vectorize and reformatting

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This commit is contained in:
Christophe Riccio 2011-10-14 14:07:53 +01:00
parent 7e9ca13cde
commit 8d843a448a
40 changed files with 2772 additions and 3411 deletions
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61
glm/gtx/gradient_paint.inl
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@ -7,38 +7,37 @@
// File : glm/gtx/gradient_paint.inl // File : glm/gtx/gradient_paint.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ 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
)
{ {
detail::tvec2<valType> F = Focal - Center; template <typename valType>
detail::tvec2<valType> D = Position - Focal; valType radialGradient
valType Radius2 = pow2(Radius); (
valType Fx2 = pow2(F.x); detail::tvec2<valType> const & Center,
valType Fy2 = pow2(F.y); 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 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); valType Denominator = Radius2 - (Fx2 + Fy2);
return Numerator / Denominator; 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);
}
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 }//namespace glm

39
glm/gtx/handed_coordinate_space.inl
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@ -7,24 +7,27 @@
// File : glm/gtx/handed_coordinate_space.inl // File : glm/gtx/handed_coordinate_space.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ 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)
{ {
return dot(cross(normal, tangent), binormal) > T(0); template <typename T>
} GLM_FUNC_QUALIFIER bool rightHanded
(
template <typename T> detail::tvec3<T> const & tangent,
GLM_FUNC_QUALIFIER bool leftHanded( detail::tvec3<T> const & binormal,
detail::tvec3<T> const & tangent, detail::tvec3<T> const & normal
detail::tvec3<T> const & binormal, )
detail::tvec3<T> const & normal) {
{ return dot(cross(normal, tangent), binormal) > T(0);
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 }//namespace glm

32
glm/gtx/inertia.hpp
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@ -55,57 +55,57 @@ namespace glm
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat3x3<T> boxInertia3( detail::tmat3x3<T> boxInertia3(
const T Mass, T const & Mass,
const detail::tvec3<T>& Scale); detail::tvec3<T> const & Scale);
//! Build an inertia matrix for a box. //! Build an inertia matrix for a box.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat4x4<T> boxInertia4( detail::tmat4x4<T> boxInertia4(
const T Mass, T const & Mass,
const detail::tvec3<T>& Scale); detail::tvec3<T> const & Scale);
//! Build an inertia matrix for a disk. //! Build an inertia matrix for a disk.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat3x3<T> diskInertia3( detail::tmat3x3<T> diskInertia3(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
//! Build an inertia matrix for a disk. //! Build an inertia matrix for a disk.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat4x4<T> diskInertia4( detail::tmat4x4<T> diskInertia4(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
//! Build an inertia matrix for a ball. //! Build an inertia matrix for a ball.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat3x3<T> ballInertia3( detail::tmat3x3<T> ballInertia3(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
//! Build an inertia matrix for a ball. //! Build an inertia matrix for a ball.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat4x4<T> ballInertia4( detail::tmat4x4<T> ballInertia4(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
//! Build an inertia matrix for a sphere. //! Build an inertia matrix for a sphere.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat3x3<T> sphereInertia3( detail::tmat3x3<T> sphereInertia3(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
//! Build an inertia matrix for a sphere. //! Build an inertia matrix for a sphere.
//! From GLM_GTX_inertia extension. //! From GLM_GTX_inertia extension.
template <typename T> template <typename T>
detail::tmat4x4<T> sphereInertia4( detail::tmat4x4<T> sphereInertia4(
const T Mass, T const & Mass,
const T Radius); T const & Radius);
/// @} /// @}
}// namespace glm }// namespace glm

177
glm/gtx/inertia.inl
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@ -7,93 +7,108 @@
// File : glm/gtx/inertia.inl // File : glm/gtx/inertia.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ namespace glm
template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> boxInertia3(
const T Mass,
const detail::tvec3<T>& Scale)
{ {
detail::tmat3x3<T> Result(T(1)); template <typename T>
Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12); GLM_FUNC_QUALIFIER detail::tmat3x3<T> boxInertia3
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); T const & Mass,
return Result; 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> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> boxInertia4( GLM_FUNC_QUALIFIER detail::tmat4x4<T> boxInertia4
const T Mass, (
const detail::tvec3<T>& Scale) 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); detail::tmat4x4<T> Result(T(1));
Result[2][2] = (Scale.x * Scale.x + Scale.y * Scale.y) * Mass / T(12); Result[0][0] = (Scale.y * Scale.y + Scale.z * Scale.z) * Mass / T(12);
return Result; 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> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> diskInertia3( GLM_FUNC_QUALIFIER detail::tmat3x3<T> diskInertia3
const T Mass, (
const T Radius) T const & Mass,
{ T const & Radius
T a = Mass * Radius * Radius / T(2); )
detail::tmat3x3<T> Result(a); {
Result[2][2] *= T(2); T a = Mass * Radius * Radius / T(2);
return Result; detail::tmat3x3<T> Result(a);
} Result[2][2] *= T(2);
return Result;
}
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> diskInertia4( GLM_FUNC_QUALIFIER detail::tmat4x4<T> diskInertia4
const T Mass, (
const T Radius) T const & Mass,
{ T const & Radius
T a = Mass * Radius * Radius / T(2); )
detail::tmat4x4<T> Result(a); {
Result[2][2] *= T(2); T a = Mass * Radius * Radius / T(2);
Result[3][3] = T(1); detail::tmat4x4<T> Result(a);
return Result; Result[2][2] *= T(2);
} Result[3][3] = T(1);
return Result;
}
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> ballInertia3( GLM_FUNC_QUALIFIER detail::tmat3x3<T> ballInertia3
const T Mass, (
const T Radius) T const & Mass,
{ T const & Radius
T a = T(2) * Mass * Radius * Radius / T(5); )
return detail::tmat3x3<T>(a); {
} T a = T(2) * Mass * Radius * Radius / T(5);
return detail::tmat3x3<T>(a);
}
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat4x4<T> ballInertia4( GLM_FUNC_QUALIFIER detail::tmat4x4<T> ballInertia4
const T Mass, (
const T Radius) 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); T a = T(2) * Mass * Radius * Radius / T(5);
return Result; detail::tmat4x4<T> Result(a);
} Result[3][3] = T(1);
return Result;
}
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tmat3x3<T> sphereInertia3( GLM_FUNC_QUALIFIER detail::tmat3x3<T> sphereInertia3
const T Mass, (
const T Radius) T const & Mass,
{ T const & Radius
T a = T(2) * Mass * Radius * Radius / T(3); )
return detail::tmat3x3<T>(a); {
} 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::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 }//namespace glm

14
glm/gtx/int_10_10_10_2.inl
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@ -7,11 +7,13 @@
// File : glm/gtx/int_10_10_10_2.inl // File : glm/gtx/int_10_10_10_2.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ namespace glm
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); 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 }//namespace glm

256
glm/gtx/integer.inl
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@ -7,35 +7,35 @@
// File : glm/gtx/integer.inl // File : glm/gtx/integer.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ namespace glm
// pow
GLM_FUNC_QUALIFIER int pow(int x, int y)
{ {
if(y == 0) // pow
return 1; GLM_FUNC_QUALIFIER int pow(int x, int y)
int result = x; {
for(int i = 1; i < y; ++i) if(y == 0)
result *= x; return 1;
return result; 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 // sqrt: From Christopher J. Musial, An integer square root, Graphics Gems, 1990, page 387
GLM_FUNC_QUALIFIER int sqrt(int x) GLM_FUNC_QUALIFIER int sqrt(int x)
{ {
if(x <= 1) return x; if(x <= 1) return x;
int NextTrial = x >> 1; int NextTrial = x >> 1;
int CurrentAnswer; int CurrentAnswer;
do do
{ {
CurrentAnswer = NextTrial; CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1; NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer); } while(NextTrial < CurrentAnswer);
return CurrentAnswer; return CurrentAnswer;
} }
// Henry Gordon Dietz: http://aggregate.org/MAGIC/ // Henry Gordon Dietz: http://aggregate.org/MAGIC/
namespace detail namespace detail
@ -69,132 +69,132 @@ namespace detail
}; };
}//namespace detail }//namespace detail
// Henry Gordon Dietz: http://aggregate.org/MAGIC/ // Henry Gordon Dietz: http://aggregate.org/MAGIC/
unsigned int floor_log2(unsigned int x) unsigned int floor_log2(unsigned int x)
{ {
x |= (x >> 1); x |= (x >> 1);
x |= (x >> 2); x |= (x >> 2);
x |= (x >> 4); x |= (x >> 4);
x |= (x >> 8); x |= (x >> 8);
x |= (x >> 16); x |= (x >> 16);
return(detail::ones32(x) - 1); return(detail::ones32(x) - 1);
} }
// mod // mod
GLM_FUNC_QUALIFIER int mod(int x, int y) GLM_FUNC_QUALIFIER int mod(int x, int y)
{ {
return x - y * (x / y); return x - y * (x / y);
} }
// factorial (!12 max, integer only) // factorial (!12 max, integer only)
template <typename genType> template <typename genType>
GLM_FUNC_QUALIFIER genType factorial(genType const & x) GLM_FUNC_QUALIFIER genType factorial(genType const & x)
{ {
genType Temp = x; genType Temp = x;
genType Result; genType Result;
for(Result = 1; Temp > 1; --Temp) for(Result = 1; Temp > 1; --Temp)
Result *= Temp; Result *= Temp;
return Result; return Result;
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec2<valType> factorial( GLM_FUNC_QUALIFIER detail::tvec2<valType> factorial(
detail::tvec2<valType> const & x) detail::tvec2<valType> const & x)
{ {
return detail::tvec2<valType>( return detail::tvec2<valType>(
factorial(x.x), factorial(x.x),
factorial(x.y)); factorial(x.y));
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> factorial( GLM_FUNC_QUALIFIER detail::tvec3<valType> factorial(
detail::tvec3<valType> const & x) detail::tvec3<valType> const & x)
{ {
return detail::tvec3<valType>( return detail::tvec3<valType>(
factorial(x.x), factorial(x.x),
factorial(x.y), factorial(x.y),
factorial(x.z)); factorial(x.z));
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec4<valType> factorial( GLM_FUNC_QUALIFIER detail::tvec4<valType> factorial(
detail::tvec4<valType> const & x) detail::tvec4<valType> const & x)
{ {
return detail::tvec4<valType>( return detail::tvec4<valType>(
factorial(x.x), factorial(x.x),
factorial(x.y), factorial(x.y),
factorial(x.z), factorial(x.z),
factorial(x.w)); factorial(x.w));
} }
GLM_FUNC_QUALIFIER uint pow(uint x, uint y) GLM_FUNC_QUALIFIER uint pow(uint x, uint y)
{ {
uint result = x; uint result = x;
for(uint i = 1; i < y; ++i) for(uint i = 1; i < y; ++i)
result *= x; result *= x;
return result; return result;
} }
GLM_FUNC_QUALIFIER uint sqrt(uint x) GLM_FUNC_QUALIFIER uint sqrt(uint x)
{ {
if(x <= 1) return x; if(x <= 1) return x;
uint NextTrial = x >> 1; uint NextTrial = x >> 1;
uint CurrentAnswer; uint CurrentAnswer;
do do
{ {
CurrentAnswer = NextTrial; CurrentAnswer = NextTrial;
NextTrial = (NextTrial + x / NextTrial) >> 1; NextTrial = (NextTrial + x / NextTrial) >> 1;
} while(NextTrial < CurrentAnswer); } while(NextTrial < CurrentAnswer);
return CurrentAnswer; return CurrentAnswer;
} }
GLM_FUNC_QUALIFIER uint mod(uint x, uint y) GLM_FUNC_QUALIFIER uint mod(uint x, uint y)
{ {
return x - y * (x / y); return x - y * (x / y);
} }
#if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC)) #if(GLM_COMPILER & (GLM_COMPILER_VC | GLM_COMPILER_GCC))
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x) GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{ {
return 31u - findMSB(x); return 31u - findMSB(x);
} }
#else #else
// Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt // Hackers Delight: http://www.hackersdelight.org/HDcode/nlz.c.txt
GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x) GLM_FUNC_QUALIFIER unsigned int nlz(unsigned int x)
{ {
int y, m, n; int y, m, n;
y = -int(x >> 16); // If left half of x is 0, y = -int(x >> 16); // If left half of x is 0,
m = (y >> 16) & 16; // set n = 16. If left half m = (y >> 16) & 16; // set n = 16. If left half
n = 16 - m; // is nonzero, set n = 0 and n = 16 - m; // is nonzero, set n = 0 and
x = x >> m; // shift x right 16. x = x >> m; // shift x right 16.
// Now x is of the form 0000xxxx. // Now x is of the form 0000xxxx.
y = x - 0x100; // If positions 8-15 are 0, y = x - 0x100; // If positions 8-15 are 0,
m = (y >> 16) & 8; // add 8 to n and shift x left 8. m = (y >> 16) & 8; // add 8 to n and shift x left 8.
n = n + m; n = n + m;
x = x << m; x = x << m;
y = x - 0x1000; // If positions 12-15 are 0, y = x - 0x1000; // If positions 12-15 are 0,
m = (y >> 16) & 4; // add 4 to n and shift x left 4. m = (y >> 16) & 4; // add 4 to n and shift x left 4.
n = n + m; n = n + m;
x = x << m; x = x << m;
y = x - 0x4000; // If positions 14-15 are 0, y = x - 0x4000; // If positions 14-15 are 0,
m = (y >> 16) & 2; // add 2 to n and shift x left 2. m = (y >> 16) & 2; // add 2 to n and shift x left 2.
n = n + m; n = n + m;
x = x << m; x = x << m;
y = x >> 14; // Set y = 0, 1, 2, or 3. y = x >> 14; // Set y = 0, 1, 2, or 3.
m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp. m = y & ~(y >> 1); // Set m = 0, 1, 2, or 2 resp.
return unsigned(n + 2 - m); return unsigned(n + 2 - m);
} }
#endif//(GLM_COMPILER) #endif//(GLM_COMPILER)

349
glm/gtx/intersect.inl
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@ -10,188 +10,187 @@
#include <cfloat> #include <cfloat>
#include <limits> #include <limits>
namespace glm{ 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
)
{ {
genType e1 = v1 - v0; template <typename genType>
genType e2 = v2 - v0; GLM_FUNC_QUALIFIER bool intersectRayTriangle
(
genType p = glm::cross(dir, e2); genType const & orig, genType const & dir,
genType const & v0, genType const & v1, genType const & v2,
typename genType::value_type a = glm::dot(e1, p); genType & baryPosition
)
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)
{ {
position = rayStarting + rayDirection * sphereRadius; genType e1 = v1 - v0;
normal = (position - sphereCenter) / sphereRadius; 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; 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; typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
normal = (position - sphereCenter) / sphereRadius;
return true; 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> template <typename genType>
GLM_FUNC_QUALIFIER bool intersectLineSphere GLM_FUNC_QUALIFIER bool intersectLineSphere
( (
genType const & point0, genType const & point1, genType const & point0, genType const & point1,
genType const & center, typename genType::value_type radius, genType const & center, typename genType::value_type radius,
genType & position, genType & normal 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)
{ {
position = center + dir * radius; typename genType::value_type Epsilon = std::numeric_limits<typename genType::value_type>::epsilon();
normal = (position - center) / radius;
return true;
}
else if(x2 > Epsilon)
{
position = center + dir * radius;
normal = (position - center) / radius;
return true;
}
return false;
}
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 }//namespace glm

86
glm/gtx/log_base.inl
View File

@ -7,82 +7,20 @@
// File : glm/gtx/log_base.inl // File : glm/gtx/log_base.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ #include "../core/_vectorize.hpp"
template <typename genType> namespace glm
GLM_FUNC_QUALIFIER genType log(
genType const & x,
genType const & base)
{ {
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); 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));
}
VECTORIZE_VEC_SCA(log)
VECTORIZE_VEC_VEC(log)
}//namespace glm }//namespace glm

58
glm/gtx/matrix_cross_product.inl
View File

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

201
glm/gtx/matrix_interpolation.inl
View File

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

48
glm/gtx/matrix_major_storage.hpp
View File

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

301
glm/gtx/matrix_major_storage.inl
View File

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

211
glm/gtx/matrix_operation.inl
View File

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

32
glm/gtx/matrix_query.hpp
View File

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

260
glm/gtx/matrix_query.inl
View File

@ -10,131 +10,145 @@
// - GLM core // - GLM core
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ namespace glm
template<typename T>
GLM_FUNC_QUALIFIER bool isNull(
const detail::tmat2x2<T>& m,
const T epsilon)
{ {
bool result = true; template<typename T>
for(int i = 0; result && i < 2 ; ++i) GLM_FUNC_QUALIFIER bool isNull
result = isNull(m[i], epsilon); (
return result; detail::tmat2x2<T> const & m,
} T const & epsilon)
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)
{ {
for(typename genType::value_type j = typename genType::value_type(0); result && j < i ; ++j) bool result = true;
result = abs(m[i][j]) <= epsilon; 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) 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) genType tmp = transpose(m);
result = abs(m[i][j]) <= epsilon; 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 }//namespace glm

21
glm/gtx/mixed_product.inl
View File

@ -7,15 +7,16 @@
// File : glm/gtx/mixed_product.inl // File : glm/gtx/mixed_product.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ 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)
{ {
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 }//namespace glm

257
glm/gtx/multiple.inl
View File

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

72
glm/gtx/norm.hpp
View File

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

230
glm/gtx/norm.inl
View File

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

23
glm/gtx/normal.inl
View File

@ -7,17 +7,16 @@
// File : glm/gtx/normal.inl // File : glm/gtx/normal.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ 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
)
{ {
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 }//namespace glm

195
glm/gtx/normalize_dot.inl
View File

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

83
glm/gtx/optimum_pow.inl
View File

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

55
glm/gtx/orthonormalize.inl
View File

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

22
glm/gtx/perpendicular.hpp
View File

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

35
glm/gtx/perpendicular.inl
View File

@ -7,30 +7,15 @@
// File : glm/gtx/perpendicular.inl // File : glm/gtx/perpendicular.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ namespace glm
template <typename T>
GLM_FUNC_QUALIFIER detail::tvec2<T> perp(
detail::tvec2<T> const & x,
detail::tvec2<T> const & Normal)
{ {
return x - proj(x, Normal); template <typename vecType>
} GLM_FUNC_QUALIFIER vecType perp
(
template <typename T> vecType const & x,
GLM_FUNC_QUALIFIER detail::tvec3<T> perp( vecType const & Normal
detail::tvec3<T> const & x, )
detail::tvec3<T> const & Normal) {
{ return x - proj(x, 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);
}
}//namespace glm }//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. //! Convert Euclidean to Polar coordinates, x is the xz distance, y, the latitude and z the longitude.
//! From GLM_GTX_polar_coordinates extension. //! From GLM_GTX_polar_coordinates extension.
template <typename T> 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. //! Convert Polar to Euclidean coordinates.
//! From GLM_GTX_polar_coordinates extension. //! From GLM_GTX_polar_coordinates extension.
template <typename T> template <typename T>
detail::tvec3<T> euclidean(const detail::tvec3<T>& polar); detail::tvec3<T> euclidean(
detail::tvec3<T> const & polar);
/// @} /// @}
}//namespace glm }//namespace glm

12
glm/gtx/polar_coordinates.inl
View File

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

22
glm/gtx/projection.hpp
View File

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

35
glm/gtx/projection.inl
View File

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

521
glm/gtx/quaternion.inl
View File

@ -9,291 +9,290 @@
#include <limits> #include <limits>
namespace glm{ namespace glm
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::tvec3<valType> const & v,
detail::tquat<valType> const & q
)
{
return inverse(q) * v;
}
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> cross GLM_FUNC_QUALIFIER detail::tvec3<valType> cross
( (
detail::tquat<valType> const & q, detail::tquat<valType> const & q,
detail::tvec3<valType> const & v detail::tvec3<valType> const & v
) )
{ {
return q * v; return q * v;
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> squad GLM_FUNC_QUALIFIER detail::tquat<T> squad
( (
detail::tquat<T> const & q1, detail::tquat<T> const & q1,
detail::tquat<T> const & q2, detail::tquat<T> const & q2,
detail::tquat<T> const & s1, detail::tquat<T> const & s1,
detail::tquat<T> const & s2, detail::tquat<T> const & s2,
T const & h) T const & h)
{ {
return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h)); return mix(mix(q1, q2, h), mix(s1, s2, h), T(2) * h (T(1) - h));
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> intermediate GLM_FUNC_QUALIFIER detail::tquat<T> intermediate
( (
detail::tquat<T> const & prev, detail::tquat<T> const & prev,
detail::tquat<T> const & curr, detail::tquat<T> const & curr,
detail::tquat<T> const & next detail::tquat<T> const & next
) )
{ {
detail::tquat<T> invQuat = inverse(curr); detail::tquat<T> invQuat = inverse(curr);
return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr; return ext((log(next + invQuat) + log(prev + invQuat)) / T(-4)) * curr;
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> exp GLM_FUNC_QUALIFIER detail::tquat<T> exp
( (
detail::tquat<T> const & q, detail::tquat<T> const & q,
T const & exponent T const & exponent
) )
{ {
detail::tvec3<T> u(q.x, q.y, q.z); detail::tvec3<T> u(q.x, q.y, q.z);
float a = glm::length(u); float a = glm::length(u);
detail::tvec3<T> v(u / a); detail::tvec3<T> v(u / a);
return detail::tquat<T>(cos(a), sin(a) * v); return detail::tquat<T>(cos(a), sin(a) * v);
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> log GLM_FUNC_QUALIFIER detail::tquat<T> log
( (
detail::tquat<T> const & q detail::tquat<T> const & q
) )
{ {
if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0))) if((q.x == T(0)) && (q.y == T(0)) && (q.z == T(0)))
{ {
if(q.w > T(0)) if(q.w > T(0))
return detail::tquat<T>(log(q.w), T(0), T(0), T(0)); return detail::tquat<T>(log(q.w), T(0), T(0), T(0));
else if(q.w < T(0)) else if(q.w < T(0))
return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0)); return detail::tquat<T>(log(-q.w), T(3.1415926535897932384626433832795), T(0),T(0));
else 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()); 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 else
{ {
T Vec3Len = sqrt(q.x * q.x + q.y * q.y + q.z * q.z); 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 QuatLen = sqrt(Vec3Len * Vec3Len + q.w * q.w);
T t = atan(Vec3Len, T(q.w)) / Vec3Len; T t = atan(Vec3Len, T(q.w)) / Vec3Len;
return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen)); return detail::tquat<T>(t * q.x, t * q.y, t * q.z, log(QuatLen));
} }
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> pow GLM_FUNC_QUALIFIER detail::tquat<T> pow
( (
detail::tquat<T> const & x, detail::tquat<T> const & x,
T const & y T const & y
) )
{ {
if(abs(x.w) > T(0.9999)) if(abs(x.w) > T(0.9999))
return x; return x;
float Angle = acos(y); float Angle = acos(y);
float NewAngle = Angle * y; float NewAngle = Angle * y;
float Div = sin(NewAngle) / sin(Angle); float Div = sin(NewAngle) / sin(Angle);
return detail::tquat<T>( return detail::tquat<T>(
cos(NewAngle), cos(NewAngle),
x.x * Div, x.x * Div,
x.y * Div, x.y * Div,
x.z * Div); x.z * Div);
} }
//template <typename T> //template <typename T>
//GLM_FUNC_QUALIFIER detail::tquat<T> sqrt //GLM_FUNC_QUALIFIER detail::tquat<T> sqrt
//( //(
// detail::tquat<T> const & q // detail::tquat<T> const & q
//) //)
//{ //{
// T q0 = T(1) - dot(q, q); // T q0 = T(1) - dot(q, q);
// return T(2) * (T(1) + q0) * q; // return T(2) * (T(1) + q0) * q;
//} //}
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> rotate GLM_FUNC_QUALIFIER detail::tvec3<T> rotate
( (
detail::tquat<T> const & q, detail::tquat<T> const & q,
detail::tvec3<T> const & v detail::tvec3<T> const & v
) )
{ {
return q * v; return q * v;
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tvec4<T> rotate GLM_FUNC_QUALIFIER detail::tvec4<T> rotate
( (
detail::tquat<T> const & q, detail::tquat<T> const & q,
detail::tvec4<T> const & v detail::tvec4<T> const & v
) )
{ {
return q * v; return q * v;
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER T angle GLM_FUNC_QUALIFIER T angle
( (
detail::tquat<T> const & x detail::tquat<T> const & x
) )
{ {
return glm::degrees(acos(x.w) * T(2)); return glm::degrees(acos(x.w) * T(2));
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tvec3<T> axis GLM_FUNC_QUALIFIER detail::tvec3<T> axis
( (
detail::tquat<T> const & x detail::tquat<T> const & x
) )
{ {
T tmp1 = T(1) - x.w * x.w; T tmp1 = T(1) - x.w * x.w;
if(tmp1 <= T(0)) if(tmp1 <= T(0))
return detail::tvec3<T>(0, 0, 1); return detail::tvec3<T>(0, 0, 1);
T tmp2 = T(1) / sqrt(tmp1); T tmp2 = T(1) / sqrt(tmp1);
return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2); return detail::tvec3<T>(x.x * tmp2, x.y * tmp2, x.z * tmp2);
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
( (
valType const & angle, valType const & angle,
valType const & x, valType const & x,
valType const & y, valType const & y,
valType const & z valType const & z
) )
{ {
return angleAxis(angle, detail::tvec3<valType>(x, y, z)); return angleAxis(angle, detail::tvec3<valType>(x, y, z));
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis GLM_FUNC_QUALIFIER detail::tquat<valType> angleAxis
( (
valType const & angle, valType const & angle,
detail::tvec3<valType> const & v detail::tvec3<valType> const & v
) )
{ {
detail::tquat<valType> result; detail::tquat<valType> result;
valType a = glm::radians(angle); valType a = glm::radians(angle);
valType s = glm::sin(a * valType(0.5)); valType s = glm::sin(a * valType(0.5));
result.w = glm::cos(a * valType(0.5)); result.w = glm::cos(a * valType(0.5));
result.x = v.x * s; result.x = v.x * s;
result.y = v.y * s; result.y = v.y * s;
result.z = v.z * s; result.z = v.z * s;
return result; return result;
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER T extractRealComponent GLM_FUNC_QUALIFIER T extractRealComponent
( (
detail::tquat<T> const & q detail::tquat<T> const & q
) )
{ {
T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z; T w = T(1.0) - q.x * q.x - q.y * q.y - q.z * q.z;
if(w < T(0)) if(w < T(0))
return T(0); return T(0);
else else
return -sqrt(w); return -sqrt(w);
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER valType roll GLM_FUNC_QUALIFIER valType roll
( (
detail::tquat<valType> const & q 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)); 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> template <typename valType>
GLM_FUNC_QUALIFIER valType pitch GLM_FUNC_QUALIFIER valType pitch
( (
detail::tquat<valType> const & q 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)); 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> template <typename valType>
GLM_FUNC_QUALIFIER valType yaw GLM_FUNC_QUALIFIER valType yaw
( (
detail::tquat<valType> const & q detail::tquat<valType> const & q
) )
{ {
return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y))); return glm::degrees(asin(valType(-2) * (q.x * q.z - q.w * q.y)));
} }
template <typename valType> template <typename valType>
GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles GLM_FUNC_QUALIFIER detail::tvec3<valType> eularAngles
( (
detail::tquat<valType> const & x detail::tquat<valType> const & x
) )
{ {
return detail::tvec3<valType>(pitch(x), yaw(x), roll(x)); return detail::tvec3<valType>(pitch(x), yaw(x), roll(x));
} }
template <typename T> template <typename T>
GLM_FUNC_QUALIFIER detail::tquat<T> shortMix GLM_FUNC_QUALIFIER detail::tquat<T> shortMix
( (
detail::tquat<T> const & x, detail::tquat<T> const & x,
detail::tquat<T> const & y, detail::tquat<T> const & y,
T const & a T const & a
) )
{ {
if(a <= typename detail::tquat<T>::value_type(0)) return x; if(a <= typename detail::tquat<T>::value_type(0)) return x;
if(a >= typename detail::tquat<T>::value_type(1)) return y; if(a >= typename detail::tquat<T>::value_type(1)) return y;
T fCos = dot(x, y); T fCos = dot(x, y);
detail::tquat<T> y2(y); //BUG!!! tquat<T> y2; detail::tquat<T> y2(y); //BUG!!! tquat<T> y2;
if(fCos < T(0)) if(fCos < T(0))
{ {
y2 = -y; y2 = -y;
fCos = -fCos; fCos = -fCos;
} }
//if(fCos > 1.0f) // problem //if(fCos > 1.0f) // problem
T k0, k1; T k0, k1;
if(fCos > T(0.9999)) if(fCos > T(0.9999))
{ {
k0 = T(1) - a; k0 = T(1) - a;
k1 = T(0) + a; //BUG!!! 1.0f + a; k1 = T(0) + a; //BUG!!! 1.0f + a;
} }
else else
{ {
T fSin = sqrt(T(1) - fCos * fCos); T fSin = sqrt(T(1) - fCos * fCos);
T fAngle = atan(fSin, fCos); T fAngle = atan(fSin, fCos);
T fOneOverSin = T(1) / fSin; T fOneOverSin = T(1) / fSin;
k0 = sin((T(1) - a) * fAngle) * fOneOverSin; k0 = sin((T(1) - a) * fAngle) * fOneOverSin;
k1 = sin((T(0) + a) * fAngle) * fOneOverSin; k1 = sin((T(0) + a) * fAngle) * fOneOverSin;
} }
return detail::tquat<T>( return detail::tquat<T>(
k0 * x.w + k1 * y2.w, k0 * x.w + k1 * y2.w,
k0 * x.x + k1 * y2.x, k0 * x.x + k1 * y2.x,
k0 * x.y + k1 * y2.y, k0 * x.y + k1 * y2.y,
k0 * x.z + k1 * y2.z); 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));
}
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 }//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) // OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
// Created : 2008-10-09 // Created : 2008-10-09
// Updated : 2008-10-09 // Updated : 2011-10-14
// Licence : This source is under MIT License // Licence : This source is under MIT License
// File : glm/gtx/reciprocal.inl // File : glm/gtx/reciprocal.inl
/////////////////////////////////////////////////////////////////////////////////////////////////// ///////////////////////////////////////////////////////////////////////////////////////////////////
namespace glm{ #include "../core/_vectorize.hpp"
// sec namespace glm
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"); // 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> VECTORIZE_VEC(sec)
GLM_FUNC_QUALIFIER detail::tvec2<valType> sec
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
sec(angle.x),
sec(angle.y));
}
template <typename valType> // csc
GLM_FUNC_QUALIFIER detail::tvec3<valType> sec template <typename genType>
( GLM_FUNC_QUALIFIER genType csc
detail::tvec3<valType> const & angle (
) genType const & angle
{ )
return detail::tvec3<valType>( {
sec(angle.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'csc' only accept floating-point values");
sec(angle.y),
sec(angle.z));
}
template <typename valType> return genType(1) / glm::sin(angle);
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));
}
// csc VECTORIZE_VEC(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");
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> return genType(1) / glm::tan(angle);
GLM_FUNC_QUALIFIER detail::tvec2<valType> csc }
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
csc(angle.x),
csc(angle.y));
}
template <typename valType> VECTORIZE_VEC(cot)
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));
}
template <typename valType> // asec
GLM_FUNC_QUALIFIER detail::tvec4<valType> csc template <typename genType>
( GLM_FUNC_QUALIFIER genType asec
detail::tvec4<valType> const & angle (
) genType const & x
{ )
return detail::tvec4<valType>( {
csc(angle.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values");
csc(angle.y),
csc(angle.z),
csc(angle.w));
}
// cot return acos(genType(1) / x);
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); VECTORIZE_VEC(asec)
}
template <typename valType> // acsc
GLM_FUNC_QUALIFIER detail::tvec2<valType> cot template <typename genType>
( GLM_FUNC_QUALIFIER genType acsc
detail::tvec2<valType> const & angle (
) genType const & x
{ )
return detail::tvec2<valType>( {
cot(angle.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsc' only accept floating-point values");
cot(angle.y));
}
template <typename valType> return asin(genType(1) / x);
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> VECTORIZE_VEC(acsc)
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 // acot
template <typename genType> template <typename genType>
GLM_FUNC_QUALIFIER genType asec GLM_FUNC_QUALIFIER genType acot
( (
genType const & x genType const & x
) )
{ {
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asec' only accept floating-point values"); GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acot' only accept floating-point values");
return acos(genType(1) / x); genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0);
} return pi_over_2 - atan(x);
}
template <typename valType> VECTORIZE_VEC(acot)
GLM_FUNC_QUALIFIER detail::tvec2<valType> asec
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
asec(x.x),
asec(x.y));
}
template <typename valType> // sech
GLM_FUNC_QUALIFIER detail::tvec3<valType> asec template <typename genType>
( GLM_FUNC_QUALIFIER genType sech
detail::tvec3<valType> const & x (
) genType const & angle
{ )
return detail::tvec3<valType>( {
asec(x.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values");
asec(x.y),
asec(x.z));
}
template <typename valType> return genType(1) / glm::cosh(angle);
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));
}
// acsc VECTORIZE_VEC(sech)
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");
return asin(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");
template <typename valType> return genType(1) / glm::sinh(angle);
GLM_FUNC_QUALIFIER detail::tvec2<valType> acsc }
(
detail::tvec2<valType> const & x
)
{
return detail::tvec2<valType>(
acsc(x.x),
acsc(x.y));
}
template <typename valType> VECTORIZE_VEC(csch)
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));
}
template <typename valType> // coth
GLM_FUNC_QUALIFIER detail::tvec4<valType> acsc template <typename genType>
( GLM_FUNC_QUALIFIER genType coth
detail::tvec4<valType> const & x (
) genType const & angle
{ )
return detail::tvec4<valType>( {
acsc(x.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'coth' only accept floating-point values");
acsc(x.y),
acsc(x.z),
acsc(x.w));
}
// acot return glm::cosh(angle) / glm::sinh(angle);
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");
genType const pi_over_2 = genType(3.1415926535897932384626433832795 / 2.0); VECTORIZE_VEC(coth)
return pi_over_2 - atan(x);
}
template <typename valType> // asech
GLM_FUNC_QUALIFIER detail::tvec2<valType> acot template <typename genType>
( GLM_FUNC_QUALIFIER genType asech
detail::tvec2<valType> const & x (
) genType const & x
{ )
return detail::tvec2<valType>( {
acot(x.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'asech' only accept floating-point values");
acot(x.y));
}
template <typename valType> return acosh(genType(1) / x);
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));
}
template <typename valType> VECTORIZE_VEC(asech)
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));
}
// sech // acsch
template <typename genType> template <typename genType>
GLM_FUNC_QUALIFIER genType sech GLM_FUNC_QUALIFIER genType acsch
( (
genType const & angle genType const & x
) )
{ {
GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'sech' only accept floating-point values"); GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acsch' only accept floating-point values");
return genType(1) / glm::cosh(angle); return asinh(genType(1) / x);
} }
template <typename valType> VECTORIZE_VEC(acsch)
GLM_FUNC_QUALIFIER detail::tvec2<valType> sech
(
detail::tvec2<valType> const & angle
)
{
return detail::tvec2<valType>(
sech(angle.x),
sech(angle.y));
}
template <typename valType> // acoth
GLM_FUNC_QUALIFIER detail::tvec3<valType> sech template <typename genType>
( GLM_FUNC_QUALIFIER genType acoth
detail::tvec3<valType> const & angle (
) genType const & x
{ )
return detail::tvec3<valType>( {
sech(angle.x), GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'acoth' only accept floating-point values");
sech(angle.y),
sech(angle.z));
}
template <typename valType> return atanh(genType(1) / x);
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));
}
// 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");
return genType(1) / glm::sinh(angle);
}
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));
}
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));
}
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));
}
// 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));
}
VECTORIZE_VEC(acoth)
}//namespace glm }//namespace glm

269
glm/gtx/rotate_vector.inl
View File

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

261
glm/gtx/transform2.inl
View File

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

343
glm/gtx/ulp.inl
View File

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

4
glm/gtx/unsigned_int.inl
View File

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

81
glm/gtx/vector_access.inl
View File

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

79
glm/gtx/vector_angle.inl
View File

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

281
glm/gtx/vector_query.inl
View File

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

203
glm/gtx/verbose_operator.inl
View File

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

275
glm/gtx/wrap.inl
View File

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