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< div class = "title" > Angle and Trigonometry Functions< div class = "ingroups" > < a class = "el" href = "a00167.html" > GLM Core< / a > < / div > < / div > < / div >
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< / table >
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< a name = "details" id = "details" > < / a > < h2 class = "groupheader" > Detailed Description< / h2 >
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< p > Function parameters specified as angle are assumed to be in units of radians. < / p >
< p > In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.< / p >
< p > These all operate component-wise. The description is per component. < / p >
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< h2 class = "groupheader" > Function Documentation< / h2 >
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< a class = "anchor" id = "gac85497ed2e39d4cac4ac32bed4dfc506" > < / a >
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< td class = "memname" > GLM_FUNC_DECL genType glm::acos < / td >
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< td > (< / td >
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< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
< td > < / td >
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< / tr >
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< / div > < div class = "memdoc" >
< p > Arc cosine. < / p >
< p > Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| > 1.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector 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/acos.xml" > GLSL acos man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::acosh < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
< td > < / td >
< / tr >
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< p > Arc hyperbolic cosine; returns the non-negative inverse of cosh. < / p >
< p > Results are undefined if x < 1.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
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< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml" > GLSL acosh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::asin < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
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< td > < / td >
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< / div > < div class = "memdoc" >
< p > Arc sine. < / p >
< p > Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| > 1.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
< / table >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml" > GLSL asin man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::asinh < / td >
< td > (< / td >
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< p > Arc hyperbolic sine; returns the inverse of sinh. < / p >
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< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml" > GLSL asinh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::atan < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > y< / em > , < / td >
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< tr >
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< td class = "paramname" > < em > x< / em >   < / td >
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< / tr >
< tr >
< td > < / td >
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< td > )< / td >
< td > < / td > < td > < / td >
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< p > Arc tangent. < / p >
< p > Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml" > GLSL atan man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
< p > Referenced by < a class = "el" href = "a00017_source.html#l00080" > glm::atan2()< / a > .< / p >
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< td class = "memname" > GLM_FUNC_DECL genType glm::atan < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > y_over_x< / em > < / td > < td > )< / td >
< td > < / td >
< / tr >
< / table >
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< p > Arc tangent. < / p >
< p > Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< / dd >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml" > GLSL atan man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::atanh < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > x< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Arc hyperbolic tangent; returns the inverse of tanh. < / p >
< p > Results are undefined if abs(x) > = 1.< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml" > GLSL atanh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::cos < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
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< p > The standard trigonometric cosine function. < / p >
< p > The values returned by this function will range from [-1, 1].< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml" > GLSL cos man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::cosh < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
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< / div > < div class = "memdoc" >
< p > Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml" > GLSL cosh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::degrees < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > radians< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Converts radians to degrees and returns the result. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml" > GLSL degrees man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::radians < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > degrees< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Converts degrees to radians and returns the result. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
< / table >
< / dd >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml" > GLSL radians man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::sin < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
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< p > The standard trigonometric sine function. < / p >
< p > The values returned by this function will range from [-1, 1].< / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
< / table >
< / dd >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml" > GLSL sin man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::sinh < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
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< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml" > GLSL sinh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::tan < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
< / tr >
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< / div > < div class = "memdoc" >
< p > The standard trigonometric tangent function. < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
< table class = "tparams" >
< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
< / table >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml" > GLSL tan man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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< td class = "memname" > GLM_FUNC_DECL genType glm::tanh < / td >
< td > (< / td >
< td class = "paramtype" > genType const &   < / td >
< td class = "paramname" > < em > angle< / em > < / td > < td > )< / td >
< td > < / td >
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< p > Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) < / p >
< dl class = "tparams" > < dt > Template Parameters< / dt > < dd >
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< tr > < td class = "paramname" > genType< / td > < td > Floating-point scalar or vector types.< / td > < / tr >
< / table >
< / dd >
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< dl class = "section see" > < dt > See Also< / dt > < dd > < a href = "http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml" > GLSL tanh man page< / a > < / dd >
< dd >
< a href = "http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf" > GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions< / a > < / dd > < / dl >
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