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Updated noise implementation
This commit is contained in:
Christophe Riccio
parent
b2ae0a3ce9
commit
a338b2771a
@ -2,7 +2,7 @@
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// OpenGL Mathematics Copyright (c) 2005 - 2011 G-Truc Creation (www.g-truc.net)
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///////////////////////////////////////////////////////////////////////////////////////////////////
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// Created : 2008-08-01
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// Updated : 2008-09-23
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// Updated : 2011-04-14
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// Licence : This source is under MIT License
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// File : glm/core/func_noise.inl
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///////////////////////////////////////////////////////////////////////////////////////////////////
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@ -14,325 +14,86 @@ namespace glm
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namespace noise{
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namespace detail
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{
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template <typenane valType, typenane vecType>
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template <typenane valType, typenane genType>
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inline vecType permute
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(
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vecType const & x0,
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genType const & x0,
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detail::tvec3<valType> const & p
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)
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{
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vecType x1 = mod(x0 * p.y, p.x);
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return floor( mod( (x1 + p.z) *x0, p.x ));
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genType x1 = mod(x0 * p.y, p.x);
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return floor(mod((x1 + p.z) * x0, p.x));
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}
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inline detail::tvec2<T> permute
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(
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detail::tvec2<T> const & x0,
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detail::tvec3<valType> const & p
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)
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template <typenane T>
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inline T taylorInvSqrt(T const & r)
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{
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vec2 x1 = mod(x0 * p.y, p.x);
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return floor( mod( (x1 + p.z) *x0, p.x ));
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}
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inline vec3 permute(vec3 x0,vec3 p)
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{
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vec3 x1 = mod(x0 * p.y, p.x);
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return floor( mod( (x1 + p.z) *x0, p.x ));
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}
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inline vec4 permute(vec4 x0,vec3 p)
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{
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vec4 x1 = mod(x0 * p.y, p.x);
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return floor( mod( (x1 + p.z) *x0, p.x ));
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return T(0.83666002653408) + T(0.7) * T(0.85373472095314) - T(0.85373472095314) * r);
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}
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}//namespace detail
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// noise1
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template <typename genType>
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inline genType noise1
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'noise1' only accept floating-point values");
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template <typename T>
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T simplexNoise2(detail::tvec2<T> const & v)
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{
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static const detail::tvec4<T> pParam(17. * 17., 34., 1., 7.);
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int iNbr = int(x + genType(3) / genType(2)) * 1103515245 + 12345;
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return genType(int(iNbr / genType(65536)) % 32768) / genType(32767);
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}
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detail::tvec2<T> const C = detail::tvec2<T>(
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0.211324865405187134, // (3.0-sqrt(3.0))/6.;
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0.366025403784438597); // 0.5*(sqrt(3.0)-1.);
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detail::tvec3<T> const D = detail::tvec3<T>(0., 0.5, 2.0) * T(3.14159265358979312);
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template <typename T>
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inline typename detail::tvec2<T>::value_type noise1
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(
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detail::tvec2<T> const & x
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)
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{
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T tmp(0);
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for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
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tmp += x[i];
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return noise1(tmp);
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}
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// First corner
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detail::tvec2<T> i = floor(v + dot(v, detail::tvec2<T>(C.y)));
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detail::tvec2<T> x0 = v - i + dot(i, detail::tvec2<T>(C.x));
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template <typename T>
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inline typename detail::tvec3<T>::value_type noise1
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(
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detail::tvec3<T> const & x
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)
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{
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T tmp(0);
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for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
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tmp += x[i];
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return noise1(tmp);
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}
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// Other corners
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detail::tvec2<T> i1 = (x0.x > x0.y) ? detail::tvec2<T>(1, 0) : detail::tvec2<T>(0, 1) ;
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template <typename T>
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inline typename detail::tvec4<T>::value_type noise1
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(
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detail::tvec4<T> const & x
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)
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{
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T tmp(0);
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for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
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tmp += x[i];
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return noise1(tmp);
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}
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// x0 = x0 - 0. + 0. * C
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detail::tvec2<T> x1 = x0 - i1 + T(1) * detail::tvec2<T>(C.x);
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detail::tvec2<T> x2 = x0 - T(1) + T(2) * detail::tvec2<T>(C.x);
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// noise2
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template <typename genType>
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inline detail::tvec2<genType> noise2
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'noise2' only accept floating-point values");
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// Permutations
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i = mod(i, pParam.x);
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detail::tvec3<T> p = permute(
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permute(i.y + detail::tvec3<T>(T(0), i1.y, T(1)), detail::tvec3<T>(pParam))
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+ i.x + detail::tvec3<T>(T(0), i1.x, T(1)), detail::tvec3<T>(pParam));
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genType f1 = x * genType(1103515245) + genType(12345);
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genType f2 = f1 * genType(1103515245) + genType(12345);
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return detail::tvec2<genType>(
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noise1(f1),
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noise1(f2));
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}
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#ifndef USE_CIRCLE
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// ( N points uniformly over a line, mapped onto a diamond.)
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detail::tvec3<T> x = fract(p / pParam.w) ;
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detail::tvec3<T> h = T(0.5) - abs(x) ;
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template <typename T>
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inline detail::tvec2<T> noise2
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(
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detail::tvec2<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise2' only accept floating-point values");
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detail::tvec3<T> sx = detail::tvec3<T>(lessThan(x, detail::tvec3<T>(D.x))) * T(2) - T(1);
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detail::tvec3<T> sh = detail::tvec3<T>(lessThan(h, detail::tvec3<T>(D.x)));
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T f0(0);
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for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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return detail::tvec2<T>(
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noise1(f1),
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noise1(f2));
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}
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detail::tvec3<T> a0 = x + sx * sh;
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detail::tvec2<T> p0(a0.x, h.x);
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detail::tvec2<T> p1(a0.y, h.y);
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detail::tvec2<T> p2(a0.z, h.z);
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template <typename T>
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inline detail::tvec2<T> noise2
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(
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detail::tvec3<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise2' only accept floating-point values");
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# ifdef NORMALISE_GRADIENTS
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p0 *= taylorInvSqrt(dot(p0, p0));
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p1 *= taylorInvSqrt(dot(p1, p1));
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p2 *= taylorInvSqrt(dot(p2, p2));
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# endif
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T f0(0);
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for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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return detail::tvec2<T>(
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noise1(f1),
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noise1(f2));
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}
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template <typename T>
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inline detail::tvec2<T> noise2
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(
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detail::tvec4<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise2' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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return detail::tvec2<T>(
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noise1(f1),
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noise1(f2));
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}
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// noise3
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template <typename genType>
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inline detail::tvec3<genType> noise3
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'noise3' only accept floating-point values");
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genType f1 = x * genType(1103515245) + genType(12345);
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genType f2 = f1 * genType(1103515245) + genType(12345);
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genType f3 = f2 * genType(1103515245) + genType(12345);
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return detail::tvec3<genType>(
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noise1(f1),
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noise1(f2),
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noise1(f3));
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}
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template <typename T>
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inline detail::tvec3<T> noise3
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(
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detail::tvec2<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise3' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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return detail::tvec3<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3));
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}
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template <typename T>
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inline detail::tvec3<T> noise3
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(
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detail::tvec3<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise3' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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return detail::tvec3<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3));
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}
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template <typename T>
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inline detail::tvec3<T> noise3
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(
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detail::tvec4<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise3' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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return detail::tvec3<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3));
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}
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// noise4
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template <typename genType>
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inline detail::tvec4<genType> noise4
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(
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genType const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<genType>::is_float, "'noise4' only accept floating-point values");
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genType f1 = x * genType(1103515245) + genType(12345);
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genType f2 = f1 * genType(1103515245) + genType(12345);
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genType f3 = f2 * genType(1103515245) + genType(12345);
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genType f4 = f3 * genType(1103515245) + genType(12345);
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return detail::tvec4<genType>(
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noise1(f1),
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noise1(f2),
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noise1(f3),
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noise1(f4));
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}
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template <typename T>
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inline detail::tvec4<T> noise4
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(
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detail::tvec2<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise4' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec2<T>::size_type i = 0; i < detail::tvec2<T>::value_size(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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T f4 = f3 * T(1103515245) + T(12345);
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return detail::tvec4<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3),
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noise1(f4));
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}
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template <typename T>
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inline detail::tvec4<T> noise4
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(
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detail::tvec3<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise4' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec3<T>::size_type i = 0; i < detail::tvec3<T>::value_size()(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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T f4 = f3 * T(1103515245) + T(12345);
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return detail::tvec4<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3),
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noise1(f4));
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}
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template <typename T>
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inline detail::tvec4<T> noise4
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(
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detail::tvec4<T> const & x
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)
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{
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GLM_STATIC_ASSERT(detail::type<T>::is_float, "'noise4' only accept floating-point values");
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T f0(0);
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for(typename detail::tvec4<T>::size_type i = 0; i < detail::tvec4<T>::value_size()(); ++i)
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f0 += x[i];
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T f1 = f0 * T(1103515245) + T(12345);
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T f2 = f1 * T(1103515245) + T(12345);
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T f3 = f2 * T(1103515245) + T(12345);
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T f4 = f3 * T(1103515245) + T(12345);
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return detail::tvec4<T>(
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noise1(f1),
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noise1(f2),
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noise1(f3),
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noise1(f4));
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}
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detail::tvec3<T> g = T(2) * detail::tvec3<T>(dot(p0, x0), dot(p1, x1), dot(p2, x2));
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#else
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// N points around a unit circle.
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detail::tvec3<T> phi = D.z * mod(p, pParam.w) / pParam.w;
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detail::tvec4<T> a0 = sin(phi.xxyy + D.xyxy);
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detail::tvec2<T> a1 = sin(detail::tvec2<T>(phi.z) + D.xy);
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detail::tvec3<T> g = detail::tvec3<T>(
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dot(a0.xy, x0),
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dot(detail::tvec2<T>(a0.z, a0.w), x1),
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dot(detail::tvec2<T>(a1.x, a1.y), x2));
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#endif
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// mix
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detail::tvec3<T> m = max(T(0.5) - detail::tvec3<T>(dot(x0,x0), dot(x1, x1), dot(x2, x2)), T(0));
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m = m * m ;
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return T(1.66666) * T(70) * dot(m * m, g);
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}
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}//namespace noise
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}//namespace function
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