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< div class = "summary" >
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< a href = "#func-members" > Functions< / a > < / div >
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< div class = "headertitle" >
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< div class = "title" > Geometric functions< div class = "ingroups" > < a class = "el" href = "a00280.html" > Core features< / a > < / div > < / div > < / div >
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< div class = "contents" >
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< p > These operate on vectors as vectors, not component-wise.
< a href = "#details" > More...< / a > < / p >
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< table class = "memberdecls" >
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< tr class = "heading" > < td colspan = "2" > < h2 class = "groupheader" > < a name = "func-members" > < / a >
Functions< / h2 > < / td > < / tr >
< tr class = "memitem:gaeeec0794212fe84fc9d261de067c9587" > < td class = "memTemplParams" colspan = "2" > template< typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:gaeeec0794212fe84fc9d261de067c9587" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL vec< 3, T, Q >   < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#gaeeec0794212fe84fc9d261de067c9587" > cross< / a > (vec< 3, T, Q > const & x, vec< 3, T, Q > const & y)< / td > < / tr >
< tr class = "memdesc:gaeeec0794212fe84fc9d261de067c9587" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Returns the cross product of x and y. < a href = "a00279.html#gaeeec0794212fe84fc9d261de067c9587" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:gaeeec0794212fe84fc9d261de067c9587" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:gaa68de6c53e20dfb2dac2d20197562e3f" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:gaa68de6c53e20dfb2dac2d20197562e3f" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL T  < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#gaa68de6c53e20dfb2dac2d20197562e3f" > distance< / a > (vec< L, T, Q > const & p0, vec< L, T, Q > const & p1)< / td > < / tr >
< tr class = "memdesc:gaa68de6c53e20dfb2dac2d20197562e3f" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). < a href = "a00279.html#gaa68de6c53e20dfb2dac2d20197562e3f" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:gaa68de6c53e20dfb2dac2d20197562e3f" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:gaad6c5d9d39bdc0bf43baf1b22e147a0a" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL T  < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a" > dot< / a > (vec< L, T, Q > const & x, vec< L, T, Q > const & y)< / td > < / tr >
< tr class = "memdesc:gaad6c5d9d39bdc0bf43baf1b22e147a0a" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Returns the dot product of x and y, i.e., result = x * y. < a href = "a00279.html#gaad6c5d9d39bdc0bf43baf1b22e147a0a" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:gaad6c5d9d39bdc0bf43baf1b22e147a0a" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ga7aed0a36c738169402404a3a5d54e43b" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:ga7aed0a36c738169402404a3a5d54e43b" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL vec< L, T, Q >   < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#ga7aed0a36c738169402404a3a5d54e43b" > faceforward< / a > (vec< L, T, Q > const & N, vec< L, T, Q > const & I, vec< L, T, Q > const & Nref)< / td > < / tr >
< tr class = "memdesc:ga7aed0a36c738169402404a3a5d54e43b" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > If dot(Nref, I) < 0.0, return N, otherwise, return -N. < a href = "a00279.html#ga7aed0a36c738169402404a3a5d54e43b" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:ga7aed0a36c738169402404a3a5d54e43b" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ga0cdabbb000834d994a1d6dc56f8f5263" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:ga0cdabbb000834d994a1d6dc56f8f5263" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL T  < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#ga0cdabbb000834d994a1d6dc56f8f5263" > length< / a > (vec< L, T, Q > const & x)< / td > < / tr >
< tr class = "memdesc:ga0cdabbb000834d994a1d6dc56f8f5263" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Returns the length of x, i.e., sqrt(x * x). < a href = "a00279.html#ga0cdabbb000834d994a1d6dc56f8f5263" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:ga0cdabbb000834d994a1d6dc56f8f5263" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ga3b8d3dcae77870781392ed2902cce597" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:ga3b8d3dcae77870781392ed2902cce597" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL vec< L, T, Q >   < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#ga3b8d3dcae77870781392ed2902cce597" > normalize< / a > (vec< L, T, Q > const & x)< / td > < / tr >
< tr class = "memdesc:ga3b8d3dcae77870781392ed2902cce597" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Returns a vector in the same direction as x but with length of 1. < a href = "a00279.html#ga3b8d3dcae77870781392ed2902cce597" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:ga3b8d3dcae77870781392ed2902cce597" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ga5631dd1d5618de5450b1ea3cf3e94905" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:ga5631dd1d5618de5450b1ea3cf3e94905" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL vec< L, T, Q >   < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#ga5631dd1d5618de5450b1ea3cf3e94905" > reflect< / a > (vec< L, T, Q > const & I, vec< L, T, Q > const & N)< / td > < / tr >
< tr class = "memdesc:ga5631dd1d5618de5450b1ea3cf3e94905" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. < a href = "a00279.html#ga5631dd1d5618de5450b1ea3cf3e94905" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:ga5631dd1d5618de5450b1ea3cf3e94905" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ga01da3dff9e2ef6b9d4915c3047e22b74" > < td class = "memTemplParams" colspan = "2" > template< length_t L, typename T , qualifier Q> < / td > < / tr >
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< tr class = "memitem:ga01da3dff9e2ef6b9d4915c3047e22b74" > < td class = "memTemplItemLeft" align = "right" valign = "top" > GLM_FUNC_DECL vec< L, T, Q >   < / td > < td class = "memTemplItemRight" valign = "bottom" > < a class = "el" href = "a00279.html#ga01da3dff9e2ef6b9d4915c3047e22b74" > refract< / a > (vec< L, T, Q > const & I, vec< L, T, Q > const & N, T eta)< / td > < / tr >
< tr class = "memdesc:ga01da3dff9e2ef6b9d4915c3047e22b74" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. < a href = "a00279.html#ga01da3dff9e2ef6b9d4915c3047e22b74" > More...< / a > < br / > < / td > < / tr >
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< tr class = "separator:ga01da3dff9e2ef6b9d4915c3047e22b74" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
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< / table >
< a name = "details" id = "details" > < / a > < h2 class = "groupheader" > Detailed Description< / h2 >
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< p > These operate on vectors as vectors, not component-wise. < / p >
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< p > Include < < a class = "el" href = "a00036.html" title = "Core features " > glm/geometric.hpp< / a > > to use these core features. < / p >
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< h2 class = "groupheader" > Function Documentation< / h2 >
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< a class = "anchor" id = "gaeeec0794212fe84fc9d261de067c9587" > < / a >
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< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > GLM_FUNC_DECL vec< 3, T, Q> glm::cross < / td >
< td > (< / td >
< td class = "paramtype" > vec< 3, T, Q > const &   < / td >
< td class = "paramname" > < em > x< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< 3, T, Q > const &   < / td >
< td class = "paramname" > < em > y< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > Returns the cross product of x and y. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/cross.xml" > GLSL cross man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
< / div >
< / div >
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< a class = "anchor" id = "gaa68de6c53e20dfb2dac2d20197562e3f" > < / a >
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< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > GLM_FUNC_DECL T glm::distance < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > p0< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > p1< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > Returns the distance betwwen p0 and p1, i.e., length(p0 - p1). < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/distance.xml" > GLSL distance man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
< / div >
< / div >
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< a class = "anchor" id = "gaad6c5d9d39bdc0bf43baf1b22e147a0a" > < / a >
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< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > GLM_FUNC_DECL T glm::dot < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > x< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > y< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > Returns the dot product of x and y, i.e., result = x * y. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/dot.xml" > GLSL dot man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
< / div >
< / div >
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< a class = "anchor" id = "ga7aed0a36c738169402404a3a5d54e43b" > < / a >
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< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
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< td class = "memname" > GLM_FUNC_DECL vec< L, T, Q> glm::faceforward < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > N< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > I< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > Nref< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > If dot(Nref, I) < 0.0, return N, otherwise, return -N. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/faceforward.xml" > GLSL faceforward man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL T glm::length < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Returns the length of x, i.e., sqrt(x * x). < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/length.xml" > GLSL length man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL vec< L, T, Q> glm::normalize < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > Returns a vector in the same direction as x but with length of 1. < / p >
< p > According to issue 10 GLSL 1.10 specification, if length(x) == 0 then result is undefined and generate an error.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/normalize.xml" > GLSL normalize man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL vec< L, T, Q> glm::reflect < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > I< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > N< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
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< / div > < div class = "memdoc" >
< p > For the incident vector I and surface orientation N, returns the reflection direction : result = I - 2.0 * dot(N, I) * N. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/reflect.xml" > GLSL reflect man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL vec< L, T, Q> glm::refract < / td >
< td > (< / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > I< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > vec< L, T, Q > const &   < / td >
< td class = "paramname" > < em > N< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > T  < / td >
< td class = "paramname" > < em > eta< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > For the incident vector I and surface normal N, and the ratio of indices of refraction eta, return the refraction vector. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > L< / td > < td > An integer between 1 and 4 included that qualify the dimension of the vector. < / td > < / tr >
< tr > < td class = "paramname" > T< / td > < td > Floating-point scalar types.< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section see" > < dt > See also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/refract.xml" > GLSL refract man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.5 Geometric Functions< / a > < / dd > < / dl >
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