From 9cdf63331ef58e5834c7b69026a129bd3e491358 Mon Sep 17 00:00:00 2001 From: Christophe Riccio Date: Wed, 28 Sep 2011 10:27:43 +0100 Subject: [PATCH] Added noise2, noise3 and noise4 draft implementation --- glm/core/func_noise.inl | 336 +++++++++++++++++++++++++++++++++++++++- 1 file changed, 334 insertions(+), 2 deletions(-) diff --git a/glm/core/func_noise.inl b/glm/core/func_noise.inl index d53fb299..91e0eb3d 100644 --- a/glm/core/func_noise.inl +++ b/glm/core/func_noise.inl @@ -22,11 +22,343 @@ /// /// @ref core /// @file glm/core/func_noise.inl -/// @date 2008-08-01 / 2011-06-15 +/// @date 2008-08-01 / 2011-09-27 /// @author Christophe Riccio /////////////////////////////////////////////////////////////////////////////////// namespace glm -{ +{ + template + GLM_FUNC_QUALIFIER T noise1(T const & x) + { + return noise1(glm::detail::tvec2(x, T(0))); + } + template + GLM_FUNC_QUALIFIER glm::detail::tvec2 noise2(T const & x) + { + return glm::detail::tvec2( + noise1(x + T(0.0)), + noise1(x + T(1.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec3 noise3(T const & x) + { + return glm::detail::tvec3( + noise1(x - T(1.0)), + noise1(x + T(0.0)), + noise1(x + T(1.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec4 noise4(T const & x) + { + return glm::detail::tvec4( + noise1(x - T(1.0)), + noise1(x + T(0.0)), + noise1(x + T(1.0)), + noise1(x + T(2.0))); + } + + template + GLM_FUNC_QUALIFIER T noise1(glm::detail::tvec2 const & v) + { + detail::tvec4 const C = detail::tvec4( + T( 0.211324865405187), // (3.0 - sqrt(3.0)) / 6.0 + T( 0.366025403784439), // 0.5 * (sqrt(3.0) - 1.0) + T(-0.577350269189626), // -1.0 + 2.0 * C.x + T( 0.024390243902439)); // 1.0 / 41.0 + + // First corner + detail::tvec2 i = floor(v + dot(v, detail::tvec2(C[1]))); + detail::tvec2 x0 = v - i + dot(i, detail::tvec2(C[0])); + + // Other corners + //i1.x = step( x0.y, x0.x ); // x0.x > x0.y ? 1.0 : 0.0 + //i1.y = 1.0 - i1.x; + detail::tvec2 i1 = (x0.x > x0.y) ? detail::tvec2(1, 0) : detail::tvec2(0, 1); + // x0 = x0 - 0.0 + 0.0 * C.xx ; + // x1 = x0 - i1 + 1.0 * C.xx ; + // x2 = x0 - 1.0 + 2.0 * C.xx ; + detail::tvec4 x12 = detail::tvec4(x0.x, x0.y, x0.x, x0.y) + detail::tvec4(C.x, C.x, C.z, C.z); + x12 = detail::tvec4(detail::tvec2(x12) - i1, x12.z, x12.w); + + // Permutations + i = mod(i, T(289)); // Avoid truncation effects in permutation + detail::tvec3 p = permute( + permute(i.y + detail::tvec3(T(0), i1.y, T(1))) + + i.x + detail::tvec3(T(0), i1.x, T(1))); + + detail::tvec3 m = max(T(0.5) - detail::tvec3( + dot(x0, x0), + dot(detail::tvec2(x12.x, x12.y), detail::tvec2(x12.x, x12.y)), + dot(detail::tvec2(x12.z, x12.w), detail::tvec2(x12.z, x12.w))), T(0)); + m = m * m ; + m = m * m ; + + // Gradients: 41 points uniformly over a line, mapped onto a diamond. + // The ring size 17*17 = 289 is close to a multiple of 41 (41*7 = 287) + + detail::tvec3 x = T(2) * fract(p * C.w) - T(1); + detail::tvec3 h = abs(x) - T(0.5); + detail::tvec3 ox = floor(x + T(0.5)); + detail::tvec3 a0 = x - ox; + + // Normalise gradients implicitly by scaling m + // Inlined for speed: m *= taylorInvSqrt( a0*a0 + h*h ); + m *= T(1.79284291400159) - T(0.85373472095314) * (a0 * a0 + h * h); + + // Compute final noise value at P + detail::tvec3 g; + g.x = a0.x * x0.x + h.x * x0.y; + //g.yz = a0.yz * x12.xz + h.yz * x12.yw; + g.y = a0.y * x12.x + h.y * x12.y; + g.z = a0.z * x12.z + h.z * x12.w; + return T(130) * dot(m, g); + } + + template + GLM_FUNC_QUALIFIER T noise1(detail::tvec3 const & v) + { + detail::tvec2 const C(1.0 / 6.0, 1.0 / 3.0); + detail::tvec4 const D(0.0, 0.5, 1.0, 2.0); + + // First corner + detail::tvec3 i(floor(v + dot(v, detail::tvec3(C.y)))); + detail::tvec3 x0(v - i + dot(i, detail::tvec3(C.x))); + + // Other corners + detail::tvec3 g(step(detail::tvec3(x0.y, x0.z, x0.x), x0)); + detail::tvec3 l(T(1) - g); + detail::tvec3 i1(min(g, detail::tvec3(l.z, l.x, l.y))); + detail::tvec3 i2(max(g, detail::tvec3(l.z, l.x, l.y))); + + // x0 = x0 - 0.0 + 0.0 * C.xxx; + // x1 = x0 - i1 + 1.0 * C.xxx; + // x2 = x0 - i2 + 2.0 * C.xxx; + // x3 = x0 - 1.0 + 3.0 * C.xxx; + detail::tvec3 x1(x0 - i1 + C.x); + detail::tvec3 x2(x0 - i2 + C.y); // 2.0*C.x = 1/3 = C.y + detail::tvec3 x3(x0 - D.y); // -1.0+3.0*C.x = -0.5 = -D.y + + // Permutations + i = mod289(i); + detail::tvec4 p(permute(permute(permute( + i.z + detail::tvec4(T(0), i1.z, i2.z, T(1))) + + i.y + detail::tvec4(T(0), i1.y, i2.y, T(1))) + + i.x + detail::tvec4(T(0), i1.x, i2.x, T(1)))); + + // Gradients: 7x7 points over a square, mapped onto an octahedron. + // The ring size 17*17 = 289 is close to a multiple of 49 (49*6 = 294) + T n_ = T(0.142857142857); // 1.0/7.0 + detail::tvec3 ns(n_ * detail::tvec3(D.w, D.y, D.z) - detail::tvec3(D.x, D.z, D.x)); + + detail::tvec4 j(p - T(49) * floor(p * ns.z * ns.z)); // mod(p,7*7) + + detail::tvec4 x_(floor(j * ns.z)); + detail::tvec4 y_(floor(j - T(7) * x_)); // mod(j,N) + + detail::tvec4 x(x_ * ns.x + ns.y); + detail::tvec4 y(y_ * ns.x + ns.y); + detail::tvec4 h(T(1) - abs(x) - abs(y)); + + detail::tvec4 b0(x.x, x.y, y.x, y.y); + detail::tvec4 b1(x.z, x.w, y.z, y.w); + + // vec4 s0 = vec4(lessThan(b0,0.0))*2.0 - 1.0; + // vec4 s1 = vec4(lessThan(b1,0.0))*2.0 - 1.0; + detail::tvec4 s0(floor(b0) * T(2) + T(1)); + detail::tvec4 s1(floor(b1) * T(2) + T(1)); + detail::tvec4 sh(-step(h, detail::tvec4(0.0))); + + detail::tvec4 a0 = detail::tvec4(b0.x, b0.z, b0.y, b0.w) + detail::tvec4(s0.x, s0.z, s0.y, s0.w) * detail::tvec4(sh.x, sh.x, sh.y, sh.y); + detail::tvec4 a1 = detail::tvec4(b1.x, b1.z, b1.y, b1.w) + detail::tvec4(s1.x, s1.z, s1.y, s1.w) * detail::tvec4(sh.z, sh.z, sh.w, sh.w); + + detail::tvec3 p0(a0.x, a0.y, h.x); + detail::tvec3 p1(a0.z, a0.w, h.y); + detail::tvec3 p2(a1.x, a1.y, h.z); + detail::tvec3 p3(a1.z, a1.w, h.w); + + // Normalise gradients + detail::tvec4 norm = taylorInvSqrt(detail::tvec4(dot(p0, p0), dot(p1, p1), dot(p2, p2), dot(p3, p3))); + p0 *= norm.x; + p1 *= norm.y; + p2 *= norm.z; + p3 *= norm.w; + + // Mix final noise value + detail::tvec4 m = max(T(0.6) - detail::tvec4(dot(x0, x0), dot(x1, x1), dot(x2, x2), dot(x3, x3)), T(0)); + m = m * m; + return T(42) * dot(m * m, detail::tvec4(dot(p0, x0), dot(p1, x1), dot(p2, x2), dot(p3, x3))); + } + + template + GLM_FUNC_QUALIFIER T noise1(detail::tvec4 const & v) + { + detail::tvec4 const C( + 0.138196601125011, // (5 - sqrt(5))/20 G4 + 0.276393202250021, // 2 * G4 + 0.414589803375032, // 3 * G4 + -0.447213595499958); // -1 + 4 * G4 + + // (sqrt(5) - 1)/4 = F4, used once below + T const F4 = T(0.309016994374947451); + + // First corner + detail::tvec4 i = floor(v + dot(v, vec4(F4))); + detail::tvec4 x0 = v - i + dot(i, vec4(C.x)); + + // Other corners + + // Rank sorting originally contributed by Bill Licea-Kane, AMD (formerly ATI) + detail::tvec4 i0; + detail::tvec3 isX = step(detail::tvec3(x0.y, x0.z, x0.w), detail::tvec3(x0.x)); + detail::tvec3 isYZ = step(detail::tvec3(x0.z, x0.w, x0.w), detail::tvec3(x0.y, x0.y, x0.z)); + // i0.x = dot(isX, vec3(1.0)); + //i0.x = isX.x + isX.y + isX.z; + //i0.yzw = T(1) - isX; + i0 = detail::tvec4(isX.x + isX.y + isX.z, T(1) - isX); + // i0.y += dot(isYZ.xy, vec2(1.0)); + i0.y += isYZ.x + isYZ.y; + //i0.zw += 1.0 - detail::tvec2(isYZ.x, isYZ.y); + i0.z += T(1) - isYZ.x; + i0.w += T(1) - isYZ.y; + i0.z += isYZ.z; + i0.w += T(1) - isYZ.z; + + // i0 now contains the unique values 0,1,2,3 in each channel + detail::tvec4 i3 = clamp(i0, 0.0, 1.0); + detail::tvec4 i2 = clamp(i0 - 1.0, 0.0, 1.0); + detail::tvec4 i1 = clamp(i0 - 2.0, 0.0, 1.0); + + // x0 = x0 - 0.0 + 0.0 * C.xxxx + // x1 = x0 - i1 + 0.0 * C.xxxx + // x2 = x0 - i2 + 0.0 * C.xxxx + // x3 = x0 - i3 + 0.0 * C.xxxx + // x4 = x0 - 1.0 + 4.0 * C.xxxx + detail::tvec4 x1 = x0 - i1 + C.x; + detail::tvec4 x2 = x0 - i2 + C.y; + detail::tvec4 x3 = x0 - i3 + C.z; + detail::tvec4 x4 = x0 + C.w; + + // Permutations + i = mod(i, T(289)); + T j0 = permute(permute(permute(permute(i.w) + i.z) + i.y) + i.x); + detail::tvec4 j1 = permute(permute(permute(permute( + i.w + detail::tvec4(i1.w, i2.w, i3.w, T(1))) + + i.z + detail::tvec4(i1.z, i2.z, i3.z, T(1))) + + i.y + detail::tvec4(i1.y, i2.y, i3.y, T(1))) + + i.x + detail::tvec4(i1.x, i2.x, i3.x, T(1))); + + // Gradients: 7x7x6 points over a cube, mapped onto a 4-cross polytope + // 7*7*6 = 294, which is close to the ring size 17*17 = 289. + detail::tvec4 ip = detail::tvec4(T(1) / T(294), T(1) / T(49), T(1) / T(7), T(0)); + + detail::tvec4 p0 = grad4(j0, ip); + detail::tvec4 p1 = grad4(j1.x, ip); + detail::tvec4 p2 = grad4(j1.y, ip); + detail::tvec4 p3 = grad4(j1.z, ip); + detail::tvec4 p4 = grad4(j1.w, ip); + + // Normalise gradients + detail::tvec4 norm = taylorInvSqrt(detail::tvec4(dot(p0, p0), dot(p1, p1), dot(p2, p2), dot(p3, p3))); + p0 *= norm.x; + p1 *= norm.y; + p2 *= norm.z; + p3 *= norm.w; + p4 *= taylorInvSqrt(dot(p4, p4)); + + // Mix contributions from the five corners + detail::tvec3 m0 = max(T(0.6) - detail::tvec3(dot(x0, x0), dot(x1, x1), dot(x2, x2)), T(0)); + detail::tvec2 m1 = max(T(0.6) - detail::tvec2(dot(x3, x3), dot(x4, x4) ), T(0)); + m0 = m0 * m0; + m1 = m1 * m1; + return T(49) * + (dot(m0 * m0, detail::tvec3(dot(p0, x0), dot(p1, x1), dot(p2, x2))) + + dot(m1 * m1, detail::tvec2(dot(p3, x3), dot(p4, x4)))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec2 noise2(glm::detail::tvec2 const & x) + { + return glm::detail::tvec2( + noise1(x + glm::detail::tvec2(0.0)), + noise1(glm::detail::tvec2(0.0) - x)); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec2 noise2(glm::detail::tvec3 const & x) + { + return glm::detail::tvec2( + noise1(x + glm::detail::tvec3(0.0)), + noise1(glm::detail::tvec3(0.0) - x)); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec2 noise2(glm::detail::tvec4 const & x) + { + return glm::detail::tvec2( + noise1(x + glm::detail::tvec4(0.0)), + noise1(glm::detail::tvec4(0.0) - x)); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec3 noise3(glm::detail::tvec2 const & x) + { + return glm::detail::tvec3( + noise1(x - glm::detail::tvec2(1.0)), + noise1(x + glm::detail::tvec2(0.0)), + noise1(x + glm::detail::tvec2(1.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec3 noise3(glm::detail::tvec3 const & x) + { + return glm::detail::tvec3( + noise1(x - glm::detail::tvec3(1.0)), + noise1(x + glm::detail::tvec3(0.0)), + noise1(x + glm::detail::tvec3(1.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec3 noise3(glm::detail::tvec4 const & x) + { + return glm::detail::tvec3( + noise1(x - glm::detail::tvec4(1.0)), + noise1(x + glm::detail::tvec4(0.0)), + noise1(x + glm::detail::tvec4(1.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec4 noise4(glm::detail::tvec2 const & x) + { + return glm::detail::tvec4( + noise1(x - glm::detail::tvec2(1.0)), + noise1(x + glm::detail::tvec2(0.0)), + noise1(x + glm::detail::tvec2(1.0)), + noise1(x + glm::detail::tvec2(2.0))); + } + + + template + GLM_FUNC_QUALIFIER glm::detail::tvec4 noise4(glm::detail::tvec3 const & x) + { + return glm::detail::tvec4( + noise1(x - glm::detail::tvec3(1.0)), + noise1(x + glm::detail::tvec3(0.0)), + noise1(x + glm::detail::tvec3(1.0)), + noise1(x + glm::detail::tvec3(2.0))); + } + + template + GLM_FUNC_QUALIFIER glm::detail::tvec4 noise4(glm::detail::tvec4 const & x) + { + return glm::detail::tvec4( + noise1(x - glm::detail::tvec4(1.0)), + noise1(x + glm::detail::tvec4(0.0)), + noise1(x + glm::detail::tvec4(1.0)), + noise1(x + glm::detail::tvec4(2.0))); + } + }//namespace glm