mirror of
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Merge branch '0.9.1' of ssh://ogl-math.git.sourceforge.net/gitroot/ogl-math/ogl-math into 0.9.1
This commit is contained in:
commit
d08c508f01
@ -9,16 +9,16 @@
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|||||||
|
|
||||||
This library works perfectly with OpenGL but it also ensures interoperability with other third party libraries and SDK. It is a good candidate for software rendering (Raytracing / Rasterisation), image processing, physic simulations and any context that requires a simple and convenient mathematics library.
|
This library works perfectly with OpenGL but it also ensures interoperability with other third party libraries and SDK. It is a good candidate for software rendering (Raytracing / Rasterisation), image processing, physic simulations and any context that requires a simple and convenient mathematics library.
|
||||||
|
|
||||||
\note The Doxygen-generated documentation will often state that a type or function
|
|
||||||
is defined in a namespace that is a child of the \link glm glm \endlink namespace.
|
|
||||||
Please ignore this; you can access all publicly available types as direct children
|
|
||||||
of the glm namespace.
|
|
||||||
|
|
||||||
GLM is written as a platform independent library with no dependence and officially supports the following compilers:
|
GLM is written as a platform independent library with no dependence and officially supports the following compilers:
|
||||||
1. GCC 3.4 and higher
|
1. GCC 3.4 and higher
|
||||||
2. LLVM 2.3 through GCC 4.2 front-end and higher
|
2. LLVM 2.3 through GCC 4.2 front-end and higher
|
||||||
3. Visual Studio 2005 and higher
|
3. Visual Studio 2005 and higher
|
||||||
|
|
||||||
|
\note The Doxygen-generated documentation will often state that a type or function
|
||||||
|
is defined in a namespace that is a child of the \link glm glm \endlink namespace.
|
||||||
|
Please ignore this; All publicly available types and functions can be accessed as a direct children
|
||||||
|
of the glm namespace.
|
||||||
|
|
||||||
The source code is licenced under the <a href="http://www.opensource.org/licenses/mit-license.php">MIT licence</a>.
|
The source code is licenced under the <a href="http://www.opensource.org/licenses/mit-license.php">MIT licence</a>.
|
||||||
|
|
||||||
Thanks for contributing to the project by <a href="https://sourceforge.net/apps/trac/ogl-math/newticket">submitting tickets for bug reports and feature requests</a>.
|
Thanks for contributing to the project by <a href="https://sourceforge.net/apps/trac/ogl-math/newticket">submitting tickets for bug reports and feature requests</a>.
|
||||||
@ -67,7 +67,7 @@ int foo()
|
|||||||
|
|
||||||
The \ref core "GLM" represents only what GLSL's core provides in terms of types and functions
|
The \ref core "GLM" represents only what GLSL's core provides in terms of types and functions
|
||||||
(to the best of GLM's ability to replicate them). All that is needed to use the core
|
(to the best of GLM's ability to replicate them). All that is needed to use the core
|
||||||
is to <tt>#include <glm/glm.hpp></tt>.
|
is to include <tt><glm/glm.hpp></tt>.
|
||||||
|
|
||||||
\ref gtc "GTC extensions" are functions and types that add onto the core.
|
\ref gtc "GTC extensions" are functions and types that add onto the core.
|
||||||
These are considered reasonably stable, with their APIs not changing much between
|
These are considered reasonably stable, with their APIs not changing much between
|
||||||
@ -79,7 +79,7 @@ int foo()
|
|||||||
is why they are marked "experimental". Like GTC extensions, each experimental extension is included
|
is why they are marked "experimental". Like GTC extensions, each experimental extension is included
|
||||||
with a separate header file.
|
with a separate header file.
|
||||||
|
|
||||||
All the extensions can be included at once by default with <tt>#include <glm/ext.hpp></tt>
|
All the extensions can be included at once by default by including <tt><glm/ext.hpp></tt>
|
||||||
but this is not recommanded as it will reduce compilation speed for many unused features.
|
but this is not recommanded as it will reduce compilation speed for many unused features.
|
||||||
|
|
||||||
All of GLM is defined as direct children of the glm namespace, including extensions.
|
All of GLM is defined as direct children of the glm namespace, including extensions.
|
||||||
@ -255,8 +255,8 @@ void foo()
|
|||||||
|
|
||||||
GLM's functions are defined in headers, so they are defined with C++'s "inline" delcaration.
|
GLM's functions are defined in headers, so they are defined with C++'s "inline" delcaration.
|
||||||
This does not require the compiler to inline them, however.
|
This does not require the compiler to inline them, however.
|
||||||
If you want to force the compiler to inline the function, using whatever capabilities that the compiler provides to do so,
|
To force the compiler to inline the function, using whatever capabilities that the compiler provides to do so,
|
||||||
you can define GLM_FORCE_INLINE before any inclusion of <glm/glm.hpp>.
|
GLM_FORCE_INLINE can be defined before any inclusion of <glm/glm.hpp>.
|
||||||
|
|
||||||
\code
|
\code
|
||||||
#define GLM_FORCE_INLINE
|
#define GLM_FORCE_INLINE
|
||||||
@ -281,7 +281,7 @@ void foo()
|
|||||||
|
|
||||||
\section advanced_compatibility Compatibility
|
\section advanced_compatibility Compatibility
|
||||||
Compilers have some language extensions that GLM will automatically take advantage of them when they are enabled.
|
Compilers have some language extensions that GLM will automatically take advantage of them when they are enabled.
|
||||||
The #define GLM_FORCE_CXX98 can switch off these extensions, forcing GLM to operate on pure C++98.
|
GLM_FORCE_CXX98 can switch off these extensions, forcing GLM to operate on pure C++98.
|
||||||
|
|
||||||
\code
|
\code
|
||||||
#define GLM_FORCE_CXX98
|
#define GLM_FORCE_CXX98
|
||||||
@ -394,9 +394,10 @@ void foo()
|
|||||||
|
|
||||||
\section faq7 Should I use 'using namespace glm;'?
|
\section faq7 Should I use 'using namespace glm;'?
|
||||||
|
|
||||||
This is unwise. There is every chance that are that if 'using namespace glm;' is called, name collisions will happen. GLSL names for functions are fairly generic, so it is entirely likely that there is another function called, for example, \link glm::sqrt sqrt \endlink.
|
This is unwise. Chances are that if 'using namespace glm;' is called, name collisions will happen.
|
||||||
|
GLSL names for functions are fairly generic, so it is entirely likely that there is another function called, for example, \link glm::sqrt sqrt \endlink.
|
||||||
|
|
||||||
If you need frequent use of particular types, you can bring them into the global
|
For frequent use of particular types, they can be brough into the global
|
||||||
namespace with a 'using' declaration like this:
|
namespace with a 'using' declaration like this:
|
||||||
|
|
||||||
/code
|
/code
|
||||||
@ -409,9 +410,11 @@ void foo()
|
|||||||
|
|
||||||
GLM is mainly designed to be convenient; that's why it is written against GLSL specification.
|
GLM is mainly designed to be convenient; that's why it is written against GLSL specification.
|
||||||
|
|
||||||
The <a href="http://en.wikipedia.org/wiki/Pareto_principle">80-20</a> rule suggests that 80% of a program's performance comes from 20% of its code. Therefore, one must first identify which 20% of the code is impacting the performance.
|
The <a href="http://en.wikipedia.org/wiki/Pareto_principle">80-20 rule</a> suggests that 80% of a program's performance comes from 20% of its code.
|
||||||
|
Therefore, one should first identify which 20% of the code is impacting the performance.
|
||||||
|
|
||||||
In general, if one identifies certain math code to be a performance bottleneck, the only way to solve this is to write specialized code for those particular math needs. So no canned library solution would be suitable.
|
In general, if one identifies certain math code to be a performance bottleneck, the only way to solve this is to write specialized code for those particular math needs.
|
||||||
|
So no canned library solution would be suitable.
|
||||||
|
|
||||||
That being said, GLM can provides some descent performances alternatives based on approximations or SIMD instructions.
|
That being said, GLM can provides some descent performances alternatives based on approximations or SIMD instructions.
|
||||||
**/
|
**/
|
||||||
@ -603,27 +606,30 @@ glm::vec3 lighting(
|
|||||||
\page pg_reference References
|
\page pg_reference References
|
||||||
|
|
||||||
OpenGL 4.1 core specification:
|
OpenGL 4.1 core specification:
|
||||||
http://www.opengl.org/registry/doc/glspec41.core.20100725.pdf
|
http://www.opengl.org/registry/doc/glspec41.core.20100725.pdf
|
||||||
|
|
||||||
GLSL 4.10 specification:
|
GLSL 4.10 specification:
|
||||||
http://www.opengl.org/registry/doc/GLSLangSpec.4.10.6.clean.pdf
|
http://www.opengl.org/registry/doc/GLSLangSpec.4.10.6.clean.pdf
|
||||||
|
|
||||||
GLU 1.3 specification:
|
GLU 1.3 specification:
|
||||||
http://www.opengl.org/documentation/specs/glu/glu1_3.pdf
|
http://www.opengl.org/documentation/specs/glu/glu1_3.pdf
|
||||||
|
|
||||||
GLM HEAD snapshot:
|
GLM HEAD snapshot:
|
||||||
http://ogl-math.git.sourceforge.net/git/gitweb.cgi?p=ogl-math/ogl-math;a=snapshot;h=HEAD;sf=tgz
|
http://ogl-math.git.sourceforge.net/git/gitweb.cgi?p=ogl-math/ogl-math;a=snapshot;h=HEAD;sf=tgz
|
||||||
|
|
||||||
GLM Trac, for bug report and feature request:
|
GLM bug tracker:
|
||||||
https://sourceforge.net/apps/trac/ogl-math
|
https://sourceforge.net/apps/trac/ogl-math
|
||||||
|
|
||||||
GLM website:
|
GLM website:
|
||||||
http://glm.g-truc.net
|
http://glm.g-truc.net
|
||||||
|
|
||||||
|
GLM OpenGL SDK page:
|
||||||
|
http://www.opengl.org/sdk/libs/GLM/
|
||||||
|
|
||||||
G-Truc Creation page:
|
G-Truc Creation page:
|
||||||
http://www.g-truc.net/project-0016.html
|
http://www.g-truc.net/project-0016.html
|
||||||
|
|
||||||
The OpenGL Toolkits forum to ask questions about GLM:
|
The OpenGL Toolkits forum to ask questions about GLM:
|
||||||
http://www.opengl.org/discussion_boards/ubbthreads.php?ubb=postlist&Board=10&page=1
|
http://www.opengl.org/discussion_boards/ubbthreads.php?ubb=postlist&Board=10&page=1
|
||||||
**/
|
**/
|
||||||
|
|
||||||
|
@ -15,7 +15,6 @@
|
|||||||
#include "type_int.hpp"
|
#include "type_int.hpp"
|
||||||
#include "type_size.hpp"
|
#include "type_size.hpp"
|
||||||
#include "_swizzle.hpp"
|
#include "_swizzle.hpp"
|
||||||
#include "_detail.hpp"
|
|
||||||
|
|
||||||
namespace glm
|
namespace glm
|
||||||
{
|
{
|
||||||
|
@ -12,9 +12,6 @@
|
|||||||
#ifndef glm_glm
|
#ifndef glm_glm
|
||||||
#define glm_glm
|
#define glm_glm
|
||||||
|
|
||||||
//! TODO: to delete
|
|
||||||
#define GLMvalType typename genType::value_type
|
|
||||||
|
|
||||||
#include <cmath>
|
#include <cmath>
|
||||||
#include <climits>
|
#include <climits>
|
||||||
#include <cfloat>
|
#include <cfloat>
|
||||||
|
@ -36,31 +36,31 @@ namespace glm
|
|||||||
//! From GLM_GTX_spline extension.
|
//! From GLM_GTX_spline extension.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
genType catmullRom(
|
genType catmullRom(
|
||||||
const genType& v1,
|
genType const & v1,
|
||||||
const genType& v2,
|
genType const & v2,
|
||||||
const genType& v3,
|
genType const & v3,
|
||||||
const genType& v4,
|
genType const & v4,
|
||||||
const GLMvalType& s);
|
typename genType::value_type const & s);
|
||||||
|
|
||||||
//! Return a point from a hermite curve.
|
//! Return a point from a hermite curve.
|
||||||
//! From GLM_GTX_spline extension.
|
//! From GLM_GTX_spline extension.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
genType hermite(
|
genType hermite(
|
||||||
const genType& v1,
|
genType const & v1,
|
||||||
const genType& t1,
|
genType const & t1,
|
||||||
const genType& v2,
|
genType const & v2,
|
||||||
const genType& t2,
|
genType const & t2,
|
||||||
const GLMvalType& s);
|
typename genType::value_type const & s);
|
||||||
|
|
||||||
//! Return a point from a cubic curve.
|
//! Return a point from a cubic curve.
|
||||||
//! From GLM_GTX_spline extension.
|
//! From GLM_GTX_spline extension.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
genType cubic(
|
genType cubic(
|
||||||
const genType& v1,
|
genType const & v1,
|
||||||
const genType& v2,
|
genType const & v2,
|
||||||
const genType& v3,
|
genType const & v3,
|
||||||
const genType& v4,
|
genType const & v4,
|
||||||
const GLMvalType& s);
|
typename genType::value_type const & s);
|
||||||
|
|
||||||
///@}
|
///@}
|
||||||
|
|
||||||
|
@ -12,53 +12,59 @@ namespace gtx{
|
|||||||
namespace spline
|
namespace spline
|
||||||
{
|
{
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline genType catmullRom(
|
inline genType catmullRom
|
||||||
const genType& v1,
|
(
|
||||||
const genType& v2,
|
genType const & v1,
|
||||||
const genType& v3,
|
genType const & v2,
|
||||||
const genType& v4,
|
genType const & v3,
|
||||||
const GLMvalType& s)
|
genType const & v4,
|
||||||
|
typename genType::value_type const & s
|
||||||
|
)
|
||||||
{
|
{
|
||||||
GLMvalType s1 = s;
|
typename genType::value_type s1 = s;
|
||||||
GLMvalType s2 = optimum_pow::pow2(s);
|
typename genType::value_type s2 = optimum_pow::pow2(s);
|
||||||
GLMvalType s3 = optimum_pow::pow3(s);
|
typename genType::value_type s3 = optimum_pow::pow3(s);
|
||||||
|
|
||||||
GLMvalType f1 = -s3 + GLMvalType(2) * s2 - s;
|
typename genType::value_type f1 = -s3 + typename genType::value_type(2) * s2 - s;
|
||||||
GLMvalType f2 = GLMvalType(3) * s3 - GLMvalType(5) * s2 + GLMvalType(2);
|
typename genType::value_type f2 = typename genType::value_type(3) * s3 - typename genType::value_type(5) * s2 + typename genType::value_type(2);
|
||||||
GLMvalType f3 = GLMvalType(-3) * s3 + GLMvalType(4) * s2 + s;
|
typename genType::value_type f3 = typename genType::value_type(-3) * s3 + typename genType::value_type(4) * s2 + s;
|
||||||
GLMvalType f4 = s3 - s2;
|
typename genType::value_type f4 = s3 - s2;
|
||||||
|
|
||||||
return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / GLMvalType(2);
|
return (f1 * v1 + f2 * v2 + f3 * v3 + f4 * v4) / typename genType::value_type(2);
|
||||||
|
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline genType hermite(
|
inline genType hermite
|
||||||
const genType& v1,
|
(
|
||||||
const genType& t1,
|
genType const & v1,
|
||||||
const genType& v2,
|
genType const & t1,
|
||||||
const genType& t2,
|
genType const & v2,
|
||||||
const GLMvalType& s)
|
genType const & t2,
|
||||||
|
typename genType::value_type const & s
|
||||||
|
)
|
||||||
{
|
{
|
||||||
GLMvalType s1 = s;
|
typename genType::value_type s1 = s;
|
||||||
GLMvalType s2 = optimum_pow::pow2(s);
|
typename genType::value_type s2 = optimum_pow::pow2(s);
|
||||||
GLMvalType s3 = optimum_pow::pow3(s);
|
typename genType::value_type s3 = optimum_pow::pow3(s);
|
||||||
|
|
||||||
GLMvalType f1 = GLMvalType(2) * s3 - GLMvalType(3) * s2 + GLMvalType(1);
|
typename genType::value_type f1 = typename genType::value_type(2) * s3 - typename genType::value_type(3) * s2 + typename genType::value_type(1);
|
||||||
GLMvalType f2 = GLMvalType(-2) * s3 + GLMvalType(3) * s2;
|
typename genType::value_type f2 = typename genType::value_type(-2) * s3 + typename genType::value_type(3) * s2;
|
||||||
GLMvalType f3 = s3 - GLMvalType(2) * s2 + s;
|
typename genType::value_type f3 = s3 - typename genType::value_type(2) * s2 + s;
|
||||||
GLMvalType f4 = s3 - s2;
|
typename genType::value_type f4 = s3 - s2;
|
||||||
|
|
||||||
return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
|
return f1 * v1 + f2 * v2 + f3 * t1 + f4 * t2;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline genType cubic(
|
inline genType cubic
|
||||||
const genType& v1,
|
(
|
||||||
const genType& v2,
|
genType const & v1,
|
||||||
const genType& v3,
|
genType const & v2,
|
||||||
const genType& v4,
|
genType const & v3,
|
||||||
const GLMvalType& s)
|
genType const & v4,
|
||||||
|
typename genType::value_type const & s
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return ((v1 * s + v2) * s + v3) * s + v4;
|
return ((v1 * s + v2) * s + v3) * s + v4;
|
||||||
}
|
}
|
||||||
|
@ -39,55 +39,55 @@ namespace glm
|
|||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool areCollinear(
|
bool areCollinear(
|
||||||
const genType & v0,
|
genType const & v0,
|
||||||
const genType & v1,
|
genType const & v1,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if two vectors are opposites.
|
//! Check if two vectors are opposites.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool areOpposite(
|
bool areOpposite(
|
||||||
const genType & v0,
|
genType const & v0,
|
||||||
const genType & v1,
|
genType const & v1,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if two vectors are orthogonals.
|
//! Check if two vectors are orthogonals.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool areOrthogonal(
|
bool areOrthogonal(
|
||||||
const genType & v0,
|
genType const & v0,
|
||||||
const genType & v1,
|
genType const & v1,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if a vector is normalized.
|
//! Check if a vector is normalized.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool isNormalized(
|
bool isNormalized(
|
||||||
const genType & v,
|
genType const & v,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if a vector is null.
|
//! Check if a vector is null.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool isNull(
|
bool isNull(
|
||||||
const genType& v,
|
genType const & v,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if two vectors are orthonormal.
|
//! Check if two vectors are orthonormal.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool areOrthonormal(
|
bool areOrthonormal(
|
||||||
const genType & v0,
|
genType const & v0,
|
||||||
const genType & v1,
|
genType const & v1,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
//! Check if two vectors are similar.
|
//! Check if two vectors are similar.
|
||||||
//! From GLM_GTX_vector_query extensions.
|
//! From GLM_GTX_vector_query extensions.
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
bool areSimilar(
|
bool areSimilar(
|
||||||
const genType& v0,
|
genType const & v0,
|
||||||
const genType& v1,
|
genType const & v1,
|
||||||
const GLMvalType epsilon = std::numeric_limits<GLMvalType>::epsilon());
|
typename genType::value_type const & epsilon = std::numeric_limits<typename genType::value_type>::epsilon());
|
||||||
|
|
||||||
///@}
|
///@}
|
||||||
|
|
||||||
|
@ -17,77 +17,100 @@ namespace gtx{
|
|||||||
namespace vector_query
|
namespace vector_query
|
||||||
{
|
{
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline bool areCollinear(
|
inline bool areCollinear
|
||||||
const detail::tvec2<T>& v0,
|
(
|
||||||
const detail::tvec2<T>& v1,
|
detail::tvec2<T> const & v0,
|
||||||
const T epsilon)
|
detail::tvec2<T> const & v1,
|
||||||
|
T const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return length(cross(detail::tvec3<T>(v0, T(0)), detail::tvec3<T>(v1, T(0)))) < epsilon;
|
return length(cross(detail::tvec3<T>(v0, T(0)), detail::tvec3<T>(v1, T(0)))) < epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline bool areCollinear(
|
inline bool areCollinear
|
||||||
const detail::tvec3<T>& v0,
|
(
|
||||||
const detail::tvec3<T>& v1,
|
detail::tvec3<T> const & v0,
|
||||||
const T epsilon)
|
detail::tvec3<T> const & v1,
|
||||||
|
T const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return length(cross(v0, v1)) < epsilon;
|
return length(cross(v0, v1)) < epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline bool areCollinear(
|
inline bool areCollinear
|
||||||
const detail::tvec4<T>& v0,
|
(
|
||||||
const detail::tvec4<T>& v1,
|
detail::tvec4<T> const & v0,
|
||||||
const T epsilon)
|
detail::tvec4<T> const & v1,
|
||||||
|
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>
|
||||||
inline bool areOpposite(
|
inline bool areOpposite
|
||||||
const genType& v0,
|
(
|
||||||
const genType& v1,
|
genType const & v0,
|
||||||
const GLMvalType epsilon)
|
genType const & v1,
|
||||||
|
typename genType::value_type const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
assert(isNormalized(v0) && isNormalized(v1));
|
assert(isNormalized(v0) && isNormalized(v1));
|
||||||
return((genType::value_type(1) + dot(v0, v1)) <= epsilon);
|
return((typename genType::value_type(1) + dot(v0, v1)) <= epsilon);
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline bool areOrthogonal(
|
inline bool areOrthogonal
|
||||||
const genType& v0,
|
(
|
||||||
const genType& v1,
|
genType const & v0,
|
||||||
const GLMvalType epsilon)
|
genType const & v1,
|
||||||
|
typename genType::value_type const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return abs(dot(v0, v1)) <= max(GLMvalType(1), length(v0)) * max(GLMvalType(1), length(v1)) * epsilon;
|
return abs(dot(v0, v1)) <= max(
|
||||||
|
typename genType::value_type(1),
|
||||||
|
length(v0)) * max(
|
||||||
|
typename genType::value_type(1),
|
||||||
|
length(v1)) * epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline bool isNormalized(
|
inline bool isNormalized
|
||||||
const genType& v,
|
(
|
||||||
const GLMvalType epsilon)
|
genType const & v,
|
||||||
|
typename genType::value_type const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return abs(length(v) - GLMvalType(1)) <= GLMvalType(2) * epsilon;
|
return abs(length(v) - GLMvalType(1)) <= GLMvalType(2) * epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline bool isNull(const genType& v, const GLMvalType epsilon)
|
inline bool isNull
|
||||||
|
(
|
||||||
|
genType const & v,
|
||||||
|
typename genType::value_type const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return length(v) <= epsilon;
|
return length(v) <= epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline bool isCompNull(
|
inline bool isCompNull
|
||||||
const T s,
|
(
|
||||||
const T epsilon)
|
T const & s,
|
||||||
|
T const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return abs(s) < epsilon;
|
return abs(s) < epsilon;
|
||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline detail::tvec2<bool> isCompNull(
|
inline detail::tvec2<bool> isCompNull
|
||||||
const detail::tvec2<T>& v,
|
(
|
||||||
const T epsilon)
|
detail::tvec2<T> const & v,
|
||||||
|
T const & epsilon)
|
||||||
{
|
{
|
||||||
return detail::tvec2<bool>(
|
return detail::tvec2<bool>(
|
||||||
(abs(v.x) < epsilon),
|
(abs(v.x) < epsilon),
|
||||||
@ -95,9 +118,11 @@ namespace vector_query
|
|||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline detail::tvec3<bool> isCompNull(
|
inline detail::tvec3<bool> isCompNull
|
||||||
const detail::tvec3<T>& v,
|
(
|
||||||
const T epsilon)
|
detail::tvec3<T> const & v,
|
||||||
|
T const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return detail::tvec3<bool>(
|
return detail::tvec3<bool>(
|
||||||
abs(v.x) < epsilon,
|
abs(v.x) < epsilon,
|
||||||
@ -106,9 +131,11 @@ namespace vector_query
|
|||||||
}
|
}
|
||||||
|
|
||||||
template <typename T>
|
template <typename T>
|
||||||
inline detail::tvec4<bool> isCompNull(
|
inline detail::tvec4<bool> isCompNull
|
||||||
const detail::tvec4<T>& v,
|
(
|
||||||
const T epsilon)
|
detail::tvec4<T> const & v,
|
||||||
|
T const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
return detail::tvec4<bool>(
|
return detail::tvec4<bool>(
|
||||||
abs(v.x) < epsilon,
|
abs(v.x) < epsilon,
|
||||||
@ -118,19 +145,23 @@ namespace vector_query
|
|||||||
}
|
}
|
||||||
|
|
||||||
template <typename genType>
|
template <typename genType>
|
||||||
inline bool areOrthonormal(
|
inline bool areOrthonormal
|
||||||
const genType& v0,
|
(
|
||||||
const genType& v1,
|
genType const & v0,
|
||||||
const GLMvalType epsilon)
|
genType const & v1,
|
||||||
|
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>
|
template <typename genType>
|
||||||
inline bool areSimilar(
|
inline bool areSimilar
|
||||||
const genType& v0,
|
(
|
||||||
const genType& v1,
|
genType const & v0,
|
||||||
const GLMvalType epsilon)
|
genType const & v1,
|
||||||
|
typename genType::value_type const & epsilon
|
||||||
|
)
|
||||||
{
|
{
|
||||||
bool similar = true;
|
bool similar = true;
|
||||||
for(typename genType::size_type i = 0; similar && i < genType::value_size(); i++)
|
for(typename genType::size_type i = 0; similar && i < genType::value_size(); i++)
|
||||||
|
Loading…
Reference in New Issue
Block a user