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Diffstat (limited to 'include/cglm/noise.h')
| -rw-r--r-- | include/cglm/noise.h | 734 |
1 files changed, 734 insertions, 0 deletions
diff --git a/include/cglm/noise.h b/include/cglm/noise.h new file mode 100644 index 0000000..bec12e9 --- /dev/null +++ b/include/cglm/noise.h @@ -0,0 +1,734 @@ +/* + * Copyright (c), Recep Aslantas. + * + * MIT License (MIT), http://opensource.org/licenses/MIT + * Full license can be found in the LICENSE file + * + * Based on the work of Stefan Gustavson and Ashima Arts on "webgl-noise": + * https://github.com/stegu/webgl-noise + * Following Stefan Gustavson's paper "Simplex noise demystified": + * http://www.itn.liu.se/~stegu/simplexnoise/simplexnoise.pdf + * + * Implementation based on glm::perlin function: + * https://github.com/g-truc/glm/blob/master/glm/gtc/noise.inl + */ + +#ifndef cglm_noise_h +#define cglm_noise_h + +#include "vec4.h" +#include "vec4-ext.h" + +#include "vec3.h" +#include "vec3-ext.h" + +#include "vec2.h" +#include "vec2-ext.h" + +#define glm__noiseDetail_mod289(x) (x - floorf(x * (1.0f / 289.0f)) * 289.0f) + +/* glm__noiseDetail_permute(vec4 x, vec4 dest) */ +#define glm__noiseDetail_permute(x, dest) { \ + dest[0] = glm__noiseDetail_mod289((x[0] * 34.0f + 1.0f) * x[0]); \ + dest[1] = glm__noiseDetail_mod289((x[1] * 34.0f + 1.0f) * x[1]); \ + dest[2] = glm__noiseDetail_mod289((x[2] * 34.0f + 1.0f) * x[2]); \ + dest[3] = glm__noiseDetail_mod289((x[3] * 34.0f + 1.0f) * x[3]); \ +} + +/* glm__noiseDetail_fade_vec4(vec4 t, vec4 dest) */ +#define glm__noiseDetail_fade_vec4(t, dest) { \ + /* dest = (t * t * t) * (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + vec4 temp; \ + glm_vec4_mul(t, t, temp); \ + glm_vec4_mul(temp, t, temp); \ + /* dest = (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + glm_vec4_scale(t, 6.0f, dest); \ + glm_vec4_subs(dest, 15.0f, dest); \ + glm_vec4_mul(t, dest, dest); \ + glm_vec4_adds(dest, 10.0f, dest); \ + /* dest = temp * dest */ \ + glm_vec4_mul(temp, dest, dest); \ +} + +/* glm__noiseDetail_fade_vec3(vec3 t, vec3 dest) */ +#define glm__noiseDetail_fade_vec3(t, dest) { \ + /* dest = (t * t * t) * (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + /* temp = t * t * t */ \ + vec3 temp; \ + glm_vec3_mul(t, t, temp); \ + glm_vec3_mul(temp, t, temp); \ + /* dest = (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + glm_vec3_scale(t, 6.0f, dest); \ + glm_vec3_subs(dest, 15.0f, dest); \ + glm_vec3_mul(t, dest, dest); \ + glm_vec3_adds(dest, 10.0f, dest); \ + /* dest = temp * dest */ \ + glm_vec3_mul(temp, dest, dest); \ +} + +/* glm__noiseDetail_fade_vec2(vec2 t, vec2 dest) */ +#define glm__noiseDetail_fade_vec2(t, dest) { \ + /* dest = (t * t * t) * (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + /* temp = t * t * t */ \ + vec2 temp; \ + glm_vec2_mul(t, t, temp); \ + glm_vec2_mul(temp, t, temp); \ + /* dest = (t * (t * 6.0f - 15.0f) + 10.0f) */ \ + glm_vec2_scale(t, 6.0f, dest); \ + glm_vec2_subs(dest, 15.0f, dest); \ + glm_vec2_mul(t, dest, dest); \ + glm_vec2_adds(dest, 10.0f, dest); \ + /* dest = temp * dest */ \ + glm_vec2_mul(temp, dest, dest); \ +} + +/* glm__noiseDetail_taylorInvSqrt(vec4 x, vec4 dest) */ +#define glm__noiseDetail_taylorInvSqrt(x, dest) { \ + /* dest = 1.79284291400159f - 0.85373472095314f * x */ \ + vec4 temp; \ + glm_vec4_scale(x, 0.85373472095314f, temp); /* temp = 0.853...f * x */ \ + glm_vec4_fill(dest, 1.79284291400159f); /* dest = 1.792...f */ \ + glm_vec4_sub(dest, temp, dest); /* dest = 1.79284291400159f - temp */ \ +} + +/* norm = taylorInvSqrt(vec4( + * dot(g00__, g00__), + * dot(g01__, g01__), + * dot(g10__, g10__), + * dot(g11__, g11__) + * )); +*/ + +/* glm__noiseDetail_gradNorm_vec4(vec4 g00__, vec4 g01__, vec4 g10__, vec4 g11__) */ +#define glm__noiseDetail_gradNorm_vec4(g00__, g01__, g10__, g11__) { \ + vec4 norm; \ + norm[0] = glm_vec4_dot(g00__, g00__); /* norm.x = dot(g00__, g00__) */ \ + norm[1] = glm_vec4_dot(g01__, g01__); /* norm.y = dot(g01__, g01__) */ \ + norm[2] = glm_vec4_dot(g10__, g10__); /* norm.z = dot(g10__, g10__) */ \ + norm[3] = glm_vec4_dot(g11__, g11__); /* norm.w = dot(g11__, g11__) */ \ + glm__noiseDetail_taylorInvSqrt(norm, norm); /* norm = taylorInvSqrt(norm) */ \ + \ + glm_vec4_scale(g00__, norm[0], g00__); /* g00__ *= norm.x */ \ + glm_vec4_scale(g01__, norm[1], g01__); /* g01__ *= norm.y */ \ + glm_vec4_scale(g10__, norm[2], g10__); /* g10__ *= norm.z */ \ + glm_vec4_scale(g11__, norm[3], g11__); /* g11__ *= norm.w */ \ +} + +/* glm__noiseDetail_gradNorm_vec3(vec3 g00_, vec3 g01_, vec3 g10_, vec3 g11_) */ +#define glm__noiseDetail_gradNorm_vec3(g00_, g01_, g10_, g11_) { \ + vec4 norm; \ + norm[0] = glm_vec3_dot(g00_, g00_); /* norm.x = dot(g00_, g00_) */ \ + norm[1] = glm_vec3_dot(g01_, g01_); /* norm.y = dot(g01_, g01_) */ \ + norm[2] = glm_vec3_dot(g10_, g10_); /* norm.z = dot(g10_, g10_) */ \ + norm[3] = glm_vec3_dot(g11_, g11_); /* norm.w = dot(g11_, g11_) */ \ + glm__noiseDetail_taylorInvSqrt(norm, norm); /* norm = taylorInvSqrt(norm) */ \ + \ + glm_vec3_scale(g00_, norm[0], g00_); /* g00_ *= norm.x */ \ + glm_vec3_scale(g01_, norm[1], g01_); /* g01_ *= norm.y */ \ + glm_vec3_scale(g10_, norm[2], g10_); /* g10_ *= norm.z */ \ + glm_vec3_scale(g11_, norm[3], g11_); /* g11_ *= norm.w */ \ +} + +/* glm__noiseDetail_gradNorm_vec2(vec2 g00, vec2 g01, vec2 g10, vec2 g11) */ +#define glm__noiseDetail_gradNorm_vec2(g00, g01, g10, g11) { \ + vec4 norm; \ + norm[0] = glm_vec2_dot(g00, g00); /* norm.x = dot(g00, g00) */ \ + norm[1] = glm_vec2_dot(g01, g01); /* norm.y = dot(g01, g01) */ \ + norm[2] = glm_vec2_dot(g10, g10); /* norm.z = dot(g10, g10) */ \ + norm[3] = glm_vec2_dot(g11, g11); /* norm.w = dot(g11, g11) */ \ + glm__noiseDetail_taylorInvSqrt(norm, norm); /* norm = taylorInvSqrt(norm) */ \ + \ + glm_vec2_scale(g00, norm[0], g00); /* g00 *= norm.x */ \ + glm_vec2_scale(g01, norm[1], g01); /* g01 *= norm.y */ \ + glm_vec2_scale(g10, norm[2], g10); /* g10 *= norm.z */ \ + glm_vec2_scale(g11, norm[3], g11); /* g11 *= norm.w */ \ +} + +/* glm__noiseDetail_i2gxyzw(vec4 ixy, vec4 gx, vec4 gy, vec4 gz, vec4 gw) */ +#define glm__noiseDetail_i2gxyzw(ixy, gx, gy, gz, gw) { \ + /* gx = ixy / 7.0 */ \ + glm_vec4_divs(ixy, 7.0f, gx); /* gx = ixy / 7.0 */ \ + \ + /* gy = fract(gx) / 7.0 */ \ + glm_vec4_floor(gx, gy); /* gy = floor(gx) */ \ + glm_vec4_divs(gy, 7.0f, gy); /* gy /= 7.0 */ \ + \ + /* gz = floor(gy) / 6.0 */ \ + glm_vec4_floor(gy, gz); /* gz = floor(gy) */ \ + glm_vec4_divs(gz, 6.0f, gz); /* gz /= 6.0 */ \ + \ + /* gx = fract(gx) - 0.5f */ \ + glm_vec4_fract(gx, gx); /* gx = fract(gx) */ \ + glm_vec4_subs(gx, 0.5f, gx); /* gx -= 0.5f */ \ + \ + /* gy = fract(gy) - 0.5f */ \ + glm_vec4_fract(gy, gy); /* gy = fract(gy) */ \ + glm_vec4_subs(gy, 0.5f, gy); /* gy -= 0.5f */ \ + \ + /* gz = fract(gz) - 0.5f */ \ + glm_vec4_fract(gz, gz); /* gz = fract(gz) */ \ + glm_vec4_subs(gz, 0.5f, gz); /* gz -= 0.5f */ \ + \ + /* abs(gx), abs(gy), abs(gz) */ \ + vec4 gxa, gya, gza; \ + glm_vec4_abs(gx, gxa); /* gxa = abs(gx) */ \ + glm_vec4_abs(gy, gya); /* gya = abs(gy) */ \ + glm_vec4_abs(gz, gza); /* gza = abs(gz) */ \ + \ + /* gw = 0.75 - abs(gx) - abs(gy) - abs(gz) */ \ + glm_vec4_fill(gw, 0.75f); /* gw = 0.75 */ \ + glm_vec4_sub(gw, gxa, gw); /* gw -= gxa */ \ + glm_vec4_sub(gw, gza, gw); /* gw -= gza */ \ + glm_vec4_sub(gw, gya, gw); /* gw -= gya */ \ + \ + /* sw = step(gw, 0.0); */ \ + vec4 sw; \ + glm_vec4_stepr(gw, 0.0f, sw); /* sw = step(gw, 0.0) */ \ + \ + /* gx -= sw * (step(vec4(0), gx) - T(0.5)); */ \ + vec4 temp = {0.0f}; /* temp = 0.0 */ \ + glm_vec4_step(temp, gx, temp); /* temp = step(temp, gx) */ \ + glm_vec4_subs(temp, 0.5f, temp); /* temp -= 0.5 */ \ + glm_vec4_mul(sw, temp, temp); /* temp *= sw */ \ + glm_vec4_sub(gx, temp, gx); /* gx -= temp */ \ + \ + /* gy -= sw * (step(vec4(0), gy) - T(0.5)); */ \ + glm_vec4_zero(temp); /* reset temp */ \ + glm_vec4_step(temp, gy, temp); /* temp = step(temp, gy) */ \ + glm_vec4_subs(temp, 0.5f, temp); /* temp -= 0.5 */ \ + glm_vec4_mul(sw, temp, temp); /* temp *= sw */ \ + glm_vec4_sub(gy, temp, gy); /* gy -= temp */ \ +} + +/* NOTE: This function is not *quite* analogous to glm__noiseDetail_i2gxyzw + * to try to match the output of glm::perlin. I think it might be a bug in + * in the original implementation, but for now I'm keeping it consistent. -MK + * + * Follow up: The original implementation (glm v 1.0.1) does: + * + * vec<4, T, Q> gx0 = ixy0 * T(1.0 / 7.0); + * + * as opposed to: + * + * vec<4, T, Q> gx0 = ixy0 / T(7); + * + * This ends up mapping to different simd instructions, at least on AMD. + * The delta is tiny but it gets amplified by the rest of the noise function. + * Hence we too need to do `glm_vec4_scale` as opposed to `glm_vec4_divs`, to + * match it. -MK + */ + +/* glm__noiseDetail_i2gxyz(vec4 i, vec4 gx, vec4 gy, vec4 gz) */ +#define glm__noiseDetail_i2gxyz(ixy, gx, gy, gz) { \ + /* gx = ixy / 7.0 */ \ + glm_vec4_scale(ixy, 1.0f / 7.0f, gx); /* gx = ixy * (1/7.0) */\ + \ + /* gy = fract(floor(gx0) / 7.0)) - 0.5; */ \ + glm_vec4_floor(gx, gy); /* gy = floor(gx) */ \ + glm_vec4_scale(gy, 1.0f / 7.0f, gy); /* gy *= 1 / 7.0 */ \ + glm_vec4_fract(gy, gy); /* gy = fract(gy) */ \ + glm_vec4_subs(gy, 0.5f, gy); /* gy -= 0.5f */ \ + \ + /* gx = fract(gx); */ \ + glm_vec4_fract(gx, gx); /* gx = fract(gx) */ \ + \ + /* abs(gx), abs(gy) */ \ + vec4 gxa, gya; \ + glm_vec4_abs(gx, gxa); /* gxa = abs(gx) */ \ + glm_vec4_abs(gy, gya); /* gya = abs(gy) */ \ + \ + /* gz = vec4(0.5) - abs(gx0) - abs(gy0); */ \ + glm_vec4_fill(gz, 0.5f); /* gz = 0.5 */ \ + glm_vec4_sub(gz, gxa, gz); /* gz -= gxa */ \ + glm_vec4_sub(gz, gya, gz); /* gz -= gya */ \ + \ + /* sz = step(gw, 0.0); */ \ + vec4 sz; \ + glm_vec4_stepr(gz, 0.0f, sz); /* sz = step(gz, 0.0) */ \ + \ + /* gx0 -= sz0 * (step(0.0, gx0) - T(0.5)); */ \ + vec4 temp = {0.0f}; /* temp = 0.0 */ \ + glm_vec4_step(temp, gx, temp); /* temp = step(temp, gx) */ \ + glm_vec4_subs(temp, 0.5f, temp); /* temp -= 0.5 */ \ + glm_vec4_mul(sz, temp, temp); /* temp *= sz */ \ + glm_vec4_sub(gx, temp, gx); /* gx -= temp */ \ + \ + /* gy0 -= sz0 * (step(0.0, gy0) - T(0.5)); */ \ + glm_vec4_zero(temp); /* reset temp */ \ + glm_vec4_step(temp, gy, temp); /* temp = step(temp, gy) */ \ + glm_vec4_subs(temp, 0.5f, temp); /* temp -= 0.5 */ \ + glm_vec4_mul(sz, temp, temp); /* temp *= sz */ \ + glm_vec4_sub(gy, temp, gy); /* gy -= temp */ \ +} + +/* glm__noiseDetail_i2gxy(vec4 i, vec4 gx, vec4 gy) */ +#define glm__noiseDetail_i2gxy(i, gx, gy) { \ + /* gx = 2.0 * fract(i / 41.0) - 1.0; */ \ + glm_vec4_divs(i, 41.0f, gx); /* gx = i / 41.0 */ \ + glm_vec4_fract(gx, gx); /* gx = fract(gx) */ \ + glm_vec4_scale(gx, 2.0f, gx); /* gx *= 2.0 */ \ + glm_vec4_subs(gx, 1.0f, gx); /* gx -= 1.0 */ \ + \ + /* gy = abs(gx) - 0.5; */ \ + glm_vec4_abs(gx, gy); /* gy = abs(gx) */ \ + glm_vec4_subs(gy, 0.5f, gy); /* gy -= 0.5 */ \ + \ + /* tx = floor(gx + 0.5); */ \ + vec4 tx; \ + glm_vec4_adds(gx, 0.5f, tx); /* tx = gx + 0.5 */ \ + glm_vec4_floor(tx, tx); /* tx = floor(tx) */ \ + \ + /* gx = gx - tx; */ \ + glm_vec4_sub(gx, tx, gx); /* gx -= tx */ \ +} + +/* ============================================================================ + * Classic perlin noise + * ============================================================================ + */ + +/*! + * @brief Classic perlin noise + * + * @param[in] point 4D vector + * @returns perlin noise value + */ +CGLM_INLINE +float +glm_perlin_vec4(vec4 point) { + /* Integer part of p for indexing */ + vec4 Pi0; + glm_vec4_floor(point, Pi0); /* Pi0 = floor(point); */ + + /* Integer part + 1 */ + vec4 Pi1; + glm_vec4_adds(Pi0, 1.0f, Pi1); /* Pi1 = Pi0 + 1.0f; */ + + glm_vec4_mods(Pi0, 289.0f, Pi0); /* Pi0 = mod(Pi0, 289.0f); */ + glm_vec4_mods(Pi1, 289.0f, Pi1); /* Pi1 = mod(Pi1, 289.0f); */ + + /* Fractional part of p for interpolation */ + vec4 Pf0; + glm_vec4_fract(point, Pf0); + + /* Fractional part - 1.0 */ + vec4 Pf1; + glm_vec4_subs(Pf0, 1.0f, Pf1); + + vec4 ix = {Pi0[0], Pi1[0], Pi0[0], Pi1[0]}; + vec4 iy = {Pi0[1], Pi0[1], Pi1[1], Pi1[1]}; + vec4 iz0 = {Pi0[2], Pi0[2], Pi0[2], Pi0[2]}; /* iz0 = vec4(Pi0.z); */ + vec4 iz1 = {Pi1[2], Pi1[2], Pi1[2], Pi1[2]}; /* iz1 = vec4(Pi1.z); */ + vec4 iw0 = {Pi0[3], Pi0[3], Pi0[3], Pi0[3]}; /* iw0 = vec4(Pi0.w); */ + vec4 iw1 = {Pi1[3], Pi1[3], Pi1[3], Pi1[3]}; /* iw1 = vec4(Pi1.w); */ + + /* ------------ */ + + /* ixy = permute(permute(ix) + iy) */ + vec4 ixy; + glm__noiseDetail_permute(ix, ixy); /* ixy = permute(ix) */ + glm_vec4_add(ixy, iy, ixy); /* ixy += iy; */ + glm__noiseDetail_permute(ixy, ixy); /* ixy = permute(ixy) */ + + /* ixy0 = permute(ixy + iz0) */ + vec4 ixy0; + glm_vec4_add(ixy, iz0, ixy0); /* ixy0 = ixy + iz0 */ + glm__noiseDetail_permute(ixy0, ixy0); /* ixy0 = permute(ixy0) */ + + /* ixy1 = permute(ixy + iz1) */ + vec4 ixy1; + glm_vec4_add(ixy, iz1, ixy1); /* ixy1 = ixy, iz1 */ + glm__noiseDetail_permute(ixy1, ixy1); /* ixy1 = permute(ixy1) */ + + /* ixy00 = permute(ixy0 + iw0) */ + vec4 ixy00; + glm_vec4_add(ixy0, iw0, ixy00); /* ixy00 = ixy0 + iw0 */ + glm__noiseDetail_permute(ixy00, ixy00); /* ixy00 = permute(ixy00) */ + + /* ixy01 = permute(ixy0 + iw1) */ + vec4 ixy01; + glm_vec4_add(ixy0, iw1, ixy01); /* ixy01 = ixy0 + iw1 */ + glm__noiseDetail_permute(ixy01, ixy01); /* ixy01 = permute(ixy01) */ + + /* ixy10 = permute(ixy1 + iw0) */ + vec4 ixy10; + glm_vec4_add(ixy1, iw0, ixy10); /* ixy10 = ixy1 + iw0 */ + glm__noiseDetail_permute(ixy10, ixy10); /* ixy10 = permute(ixy10) */ + + /* ixy11 = permute(ixy1 + iw1) */ + vec4 ixy11; + glm_vec4_add(ixy1, iw1, ixy11); /* ixy11 = ixy1 + iw1 */ + glm__noiseDetail_permute(ixy11, ixy11); /* ixy11 = permute(ixy11) */ + + /* ------------ */ + + vec4 gx00, gy00, gz00, gw00; + glm__noiseDetail_i2gxyzw(ixy00, gx00, gy00, gz00, gw00); + + vec4 gx01, gy01, gz01, gw01; + glm__noiseDetail_i2gxyzw(ixy01, gx01, gy01, gz01, gw01); + + vec4 gx10, gy10, gz10, gw10; + glm__noiseDetail_i2gxyzw(ixy10, gx10, gy10, gz10, gw10); + + vec4 gx11, gy11, gz11, gw11; + glm__noiseDetail_i2gxyzw(ixy11, gx11, gy11, gz11, gw11); + + /* ------------ */ + + vec4 g0000 = {gx00[0], gy00[0], gz00[0], gw00[0]}; /* g0000 = vec4(gx00.x, gy00.x, gz00.x, gw00.x); */ + vec4 g0100 = {gx00[2], gy00[2], gz00[2], gw00[2]}; /* g0100 = vec4(gx00.z, gy00.z, gz00.z, gw00.z); */ + vec4 g1000 = {gx00[1], gy00[1], gz00[1], gw00[1]}; /* g1000 = vec4(gx00.y, gy00.y, gz00.y, gw00.y); */ + vec4 g1100 = {gx00[3], gy00[3], gz00[3], gw00[3]}; /* g1100 = vec4(gx00.w, gy00.w, gz00.w, gw00.w); */ + + vec4 g0001 = {gx01[0], gy01[0], gz01[0], gw01[0]}; /* g0001 = vec4(gx01.x, gy01.x, gz01.x, gw01.x); */ + vec4 g0101 = {gx01[2], gy01[2], gz01[2], gw01[2]}; /* g0101 = vec4(gx01.z, gy01.z, gz01.z, gw01.z); */ + vec4 g1001 = {gx01[1], gy01[1], gz01[1], gw01[1]}; /* g1001 = vec4(gx01.y, gy01.y, gz01.y, gw01.y); */ + vec4 g1101 = {gx01[3], gy01[3], gz01[3], gw01[3]}; /* g1101 = vec4(gx01.w, gy01.w, gz01.w, gw01.w); */ + + vec4 g0010 = {gx10[0], gy10[0], gz10[0], gw10[0]}; /* g0010 = vec4(gx10.x, gy10.x, gz10.x, gw10.x); */ + vec4 g0110 = {gx10[2], gy10[2], gz10[2], gw10[2]}; /* g0110 = vec4(gx10.z, gy10.z, gz10.z, gw10.z); */ + vec4 g1010 = {gx10[1], gy10[1], gz10[1], gw10[1]}; /* g1010 = vec4(gx10.y, gy10.y, gz10.y, gw10.y); */ + vec4 g1110 = {gx10[3], gy10[3], gz10[3], gw10[3]}; /* g1110 = vec4(gx10.w, gy10.w, gz10.w, gw10.w); */ + + vec4 g0011 = {gx11[0], gy11[0], gz11[0], gw11[0]}; /* g0011 = vec4(gx11.x, gy11.x, gz11.x, gw11.x); */ + vec4 g0111 = {gx11[2], gy11[2], gz11[2], gw11[2]}; /* g0111 = vec4(gx11.z, gy11.z, gz11.z, gw11.z); */ + vec4 g1011 = {gx11[1], gy11[1], gz11[1], gw11[1]}; /* g1011 = vec4(gx11.y, gy11.y, gz11.y, gw11.y); */ + vec4 g1111 = {gx11[3], gy11[3], gz11[3], gw11[3]}; /* g1111 = vec4(gx11.w, gy11.w, gz11.w, gw11.w); */ + + glm__noiseDetail_gradNorm_vec4(g0000, g0100, g1000, g1100); + glm__noiseDetail_gradNorm_vec4(g0001, g0101, g1001, g1101); + glm__noiseDetail_gradNorm_vec4(g0010, g0110, g1010, g1110); + glm__noiseDetail_gradNorm_vec4(g0011, g0111, g1011, g1111); + + /* ------------ */ + + float n0000 = glm_vec4_dot(g0000, Pf0); /* n0000 = dot(g0000, Pf0) */ + + /* n1000 = dot(g1000, vec4(Pf1.x, Pf0.y, Pf0.z, Pf0.w)) */ + vec4 n1000d = {Pf1[0], Pf0[1], Pf0[2], Pf0[3]}; + float n1000 = glm_vec4_dot(g1000, n1000d); + + /* n0100 = dot(g0100, vec4(Pf0.x, Pf1.y, Pf0.z, Pf0.w)) */ + vec4 n0100d = {Pf0[0], Pf1[1], Pf0[2], Pf0[3]}; + float n0100 = glm_vec4_dot(g0100, n0100d); + + /* n1100 = dot(g1100, vec4(Pf1.x, Pf1.y, Pf0.z, Pf0.w)) */ + vec4 n1100d = {Pf1[0], Pf1[1], Pf0[2], Pf0[3]}; + float n1100 = glm_vec4_dot(g1100, n1100d); + + /* n0010 = dot(g0010, vec4(Pf0.x, Pf0.y, Pf1.z, Pf0.w)) */ + vec4 n0010d = {Pf0[0], Pf0[1], Pf1[2], Pf0[3]}; + float n0010 = glm_vec4_dot(g0010, n0010d); + + /* n1010 = dot(g1010, vec4(Pf1.x, Pf0.y, Pf1.z, Pf0.w)) */ + vec4 n1010d = {Pf1[0], Pf0[1], Pf1[2], Pf0[3]}; + float n1010 = glm_vec4_dot(g1010, n1010d); + + /* n0110 = dot(g0110, vec4(Pf0.x, Pf1.y, Pf1.z, Pf0.w)) */ + vec4 n0110d = {Pf0[0], Pf1[1], Pf1[2], Pf0[3]}; + float n0110 = glm_vec4_dot(g0110, n0110d); + + /* n1110 = dot(g1110, vec4(Pf1.x, Pf1.y, Pf1.z, Pf0.w)) */ + vec4 n1110d = {Pf1[0], Pf1[1], Pf1[2], Pf0[3]}; + float n1110 = glm_vec4_dot(g1110, n1110d); + + /* n0001 = dot(g0001, vec4(Pf0.x, Pf0.y, Pf0.z, Pf1.w)) */ + vec4 n0001d = {Pf0[0], Pf0[1], Pf0[2], Pf1[3]}; + float n0001 = glm_vec4_dot(g0001, n0001d); + + /* n1001 = dot(g1001, vec4(Pf1.x, Pf0.y, Pf0.z, Pf1.w)) */ + vec4 n1001d = {Pf1[0], Pf0[1], Pf0[2], Pf1[3]}; + float n1001 = glm_vec4_dot(g1001, n1001d); + + /* n0101 = dot(g0101, vec4(Pf0.x, Pf1.y, Pf0.z, Pf1.w)) */ + vec4 n0101d = {Pf0[0], Pf1[1], Pf0[2], Pf1[3]}; + float n0101 = glm_vec4_dot(g0101, n0101d); + + /* n1101 = dot(g1101, vec4(Pf1.x, Pf1.y, Pf0.z, Pf1.w)) */ + vec4 n1101d = {Pf1[0], Pf1[1], Pf0[2], Pf1[3]}; + float n1101 = glm_vec4_dot(g1101, n1101d); + + /* n0011 = dot(g0011, vec4(Pf0.x, Pf0.y, Pf1.z, Pf1.w)) */ + vec4 n0011d = {Pf0[0], Pf0[1], Pf1[2], Pf1[3]}; + float n0011 = glm_vec4_dot(g0011, n0011d); + + /* n1011 = dot(g1011, vec4(Pf1.x, Pf0.y, Pf1.z, Pf1.w)) */ + vec4 n1011d = {Pf1[0], Pf0[1], Pf1[2], Pf1[3]}; + float n1011 = glm_vec4_dot(g1011, n1011d); + + /* n0111 = dot(g0111, vec4(Pf0.x, Pf1.y, Pf1.z, Pf1.w)) */ + vec4 n0111d = {Pf0[0], Pf1[1], Pf1[2], Pf1[3]}; + float n0111 = glm_vec4_dot(g0111, n0111d); + + float n1111 = glm_vec4_dot(g1111, Pf1); /* n1111 = dot(g1111, Pf1) */ + + /* ------------ */ + + vec4 fade_xyzw; + glm__noiseDetail_fade_vec4(Pf0, fade_xyzw); /* fade_xyzw = fade(Pf0) */ + + /* n_0w = lerp(vec4(n0000, n1000, n0100, n1100), vec4(n0001, n1001, n0101, n1101), fade_xyzw.w) */ + vec4 n_0w1 = {n0000, n1000, n0100, n1100}; + vec4 n_0w2 = {n0001, n1001, n0101, n1101}; + vec4 n_0w; + glm_vec4_lerp(n_0w1, n_0w2, fade_xyzw[3], n_0w); + + /* n_1w = lerp(vec4(n0010, n1010, n0110, n1110), vec4(n0011, n1011, n0111, n1111), fade_xyzw.w) */ + vec4 n_1w1 = {n0010, n1010, n0110, n1110}; + vec4 n_1w2 = {n0011, n1011, n0111, n1111}; + vec4 n_1w; + glm_vec4_lerp(n_1w1, n_1w2, fade_xyzw[3], n_1w); + + /* n_zw = lerp(n_0w, n_1w, fade_xyzw.z) */ + vec4 n_zw; + glm_vec4_lerp(n_0w, n_1w, fade_xyzw[2], n_zw); + + /* n_yzw = lerp(vec2(n_zw.x, n_zw.y), vec2(n_zw.z, n_zw.w), fade_xyzw.y) */ + vec2 n_yzw; + vec2 n_yzw1 = {n_zw[0], n_zw[1]}; + vec2 n_yzw2 = {n_zw[2], n_zw[3]}; + glm_vec2_lerp(n_yzw1, n_yzw2, fade_xyzw[1], n_yzw); + + /* n_xyzw = lerp(n_yzw.x, n_yzw.y, fade_xyzw.x) */ + float n_xyzw = glm_lerp(n_yzw[0], n_yzw[1], fade_xyzw[0]); + + return n_xyzw * 2.2f; +} + + +/*! + * @brief Classic perlin noise + * + * @param[in] point 3D vector + * @returns perlin noise value + */ +CGLM_INLINE +float +glm_perlin_vec3(vec3 point) { + /* Integer part of p for indexing */ + vec3 Pi0; + glm_vec3_floor(point, Pi0); /* Pi0 = floor(point); */ + + /* Integer part + 1 */ + vec3 Pi1; + glm_vec3_adds(Pi0, 1.0f, Pi1); /* Pi1 = Pi0 + 1.0f; */ + + glm_vec3_mods(Pi0, 289.0f, Pi0); /* Pi0 = mod(Pi0, 289.0f); */ + glm_vec3_mods(Pi1, 289.0f, Pi1); /* Pi1 = mod(Pi1, 289.0f); */ + + /* Fractional part of p for interpolation */ + vec3 Pf0; + glm_vec3_fract(point, Pf0); + + /* Fractional part - 1.0 */ + vec3 Pf1; + glm_vec3_subs(Pf0, 1.0f, Pf1); + + vec4 ix = {Pi0[0], Pi1[0], Pi0[0], Pi1[0]}; + vec4 iy = {Pi0[1], Pi0[1], Pi1[1], Pi1[1]}; + vec4 iz0 = {Pi0[2], Pi0[2], Pi0[2], Pi0[2]}; /* iz0 = vec4(Pi0.z); */ + vec4 iz1 = {Pi1[2], Pi1[2], Pi1[2], Pi1[2]}; /* iz1 = vec4(Pi1.z); */ + + /* ------------ */ + + /* ixy = permute(permute(ix) + iy) */ + vec4 ixy; + glm__noiseDetail_permute(ix, ixy); /* ixy = permute(ix) */ + glm_vec4_add(ixy, iy, ixy); /* ixy += iy; */ + glm__noiseDetail_permute(ixy, ixy); /* ixy = permute(ixy) */ + + /* ixy0 = permute(ixy + iz0) */ + vec4 ixy0; + glm_vec4_add(ixy, iz0, ixy0); /* ixy0 = ixy + iz0 */ + glm__noiseDetail_permute(ixy0, ixy0); /* ixy0 = permute(ixy0) */ + + /* ixy1 = permute(ixy + iz1) */ + vec4 ixy1; + glm_vec4_add(ixy, iz1, ixy1); /* ixy1 = ixy, iz1 */ + glm__noiseDetail_permute(ixy1, ixy1); /* ixy1 = permute(ixy1) */ + + /* ------------ */ + + vec4 gx0, gy0, gz0; + glm__noiseDetail_i2gxyz(ixy0, gx0, gy0, gz0); + + vec4 gx1, gy1, gz1; + glm__noiseDetail_i2gxyz(ixy1, gx1, gy1, gz1); + + /* ------------ */ + + vec3 g000 = {gx0[0], gy0[0], gz0[0]}; /* g000 = vec3(gx0.x, gy0.x, gz0.x); */ + vec3 g100 = {gx0[1], gy0[1], gz0[1]}; /* g100 = vec3(gx0.y, gy0.y, gz0.y); */ + vec3 g010 = {gx0[2], gy0[2], gz0[2]}; /* g010 = vec3(gx0.z, gy0.z, gz0.z); */ + vec3 g110 = {gx0[3], gy0[3], gz0[3]}; /* g110 = vec3(gx0.w, gy0.w, gz0.w); */ + + vec3 g001 = {gx1[0], gy1[0], gz1[0]}; /* g001 = vec3(gx1.x, gy1.x, gz1.x); */ + vec3 g101 = {gx1[1], gy1[1], gz1[1]}; /* g101 = vec3(gx1.y, gy1.y, gz1.y); */ + vec3 g011 = {gx1[2], gy1[2], gz1[2]}; /* g011 = vec3(gx1.z, gy1.z, gz1.z); */ + vec3 g111 = {gx1[3], gy1[3], gz1[3]}; /* g111 = vec3(gx1.w, gy1.w, gz1.w); */ + + glm__noiseDetail_gradNorm_vec3(g000, g010, g100, g110); + glm__noiseDetail_gradNorm_vec3(g001, g011, g101, g111); + + /* ------------ */ + + float n000 = glm_vec3_dot(g000, Pf0); /* n000 = dot(g000, Pf0) */ + + /* n100 = dot(g100, vec3(Pf1.x, Pf0.y, Pf0.z)) */ + vec3 n100d = {Pf1[0], Pf0[1], Pf0[2]}; + float n100 = glm_vec3_dot(g100, n100d); + + /* n010 = dot(g010, vec3(Pf0.x, Pf1.y, Pf0.z)) */ + vec3 n010d = {Pf0[0], Pf1[1], Pf0[2]}; + float n010 = glm_vec3_dot(g010, n010d); + + /* n110 = dot(g110, vec3(Pf1.x, Pf1.y, Pf0.z)) */ + vec3 n110d = {Pf1[0], Pf1[1], Pf0[2]}; + float n110 = glm_vec3_dot(g110, n110d); + + /* n001 = dot(g001, vec3(Pf0.x, Pf0.y, Pf1.z)) */ + vec3 n001d = {Pf0[0], Pf0[1], Pf1[2]}; + float n001 = glm_vec3_dot(g001, n001d); + + /* n101 = dot(g101, vec3(Pf1.x, Pf0.y, Pf1.z)) */ + vec3 n101d = {Pf1[0], Pf0[1], Pf1[2]}; + float n101 = glm_vec3_dot(g101, n101d); + + /* n011 = dot(g011, vec3(Pf0.x, Pf1.y, Pf1.z)) */ + vec3 n011d = {Pf0[0], Pf1[1], Pf1[2]}; + float n011 = glm_vec3_dot(g011, n011d); + + float n111 = glm_vec3_dot(g111, Pf1); /* n111 = dot(g111, Pf1) */ + + /* ------------ */ + + vec3 fade_xyz; + glm__noiseDetail_fade_vec3(Pf0, fade_xyz); /* fade_xyz = fade(Pf0) */ + + /* n_z = lerp(vec4(n000, n100, n010, n110), vec4(n001, n101, n011, n111), fade_xyz.z); */ + vec4 n_z; + vec4 n_z1 = {n000, n100, n010, n110}; + vec4 n_z2 = {n001, n101, n011, n111}; + glm_vec4_lerp(n_z1, n_z2, fade_xyz[2], n_z); + + /* vec2 n_yz = lerp(vec2(n_z.x, n_z.y), vec2(n_z.z, n_z.w), fade_xyz.y); */ + vec2 n_yz; + vec2 n_yz1 = {n_z[0], n_z[1]}; + vec2 n_yz2 = {n_z[2], n_z[3]}; + glm_vec2_lerp(n_yz1, n_yz2, fade_xyz[1], n_yz); + + /* n_xyz = lerp(n_yz.x, n_yz.y, fade_xyz.x); */ + float n_xyz = glm_lerp(n_yz[0], n_yz[1], fade_xyz[0]); + + return n_xyz * 2.2f; +} + +/*! + * @brief Classic perlin noise + * + * @param[in] point 2D vector + * @returns perlin noise value + */ +CGLM_INLINE +float +glm_perlin_vec2(vec2 point) { + + /* Integer part of p for indexing */ + /* Pi = floor(vec4(point.x, point.y, point.x, point.y)) + vec4(0.0, 0.0, 1.0, 1.0); */ + vec4 Pi = {point[0], point[1], point[0], point[1]}; /* Pi = vec4(point.x, point.y, point.x, point.y) */ + glm_vec4_floor(Pi, Pi); /* Pi = floor(Pi) */ + Pi[2] += 1.0f; /* Pi.z += 1.0 */ + Pi[3] += 1.0f; /* Pi.w += 1.0 */ + + /* Fractional part of p for interpolation */ + /* vec<4, T, Q> Pf = glm::fract(vec<4, T, Q>(Position.x, Position.y, Position.x, Position.y)) - vec<4, T, Q>(0.0, 0.0, 1.0, 1.0); */ + vec4 Pf = {point[0], point[1], point[0], point[1]}; /* Pf = vec4(point.x, point.y, point.x, point.y) */ + glm_vec4_fract(Pf, Pf); /* Pf = fract(Pf) */ + Pf[2] -= 1.0f; /* Pf.z -= 1.0 */ + Pf[3] -= 1.0f; /* Pf.w -= 1.0 */ + + /* Mod to avoid truncation effects in permutation */ + glm_vec4_mods(Pi, 289.0f, Pi); /* Pi = mod(Pi, 289.0f); */ + + vec4 ix = {Pi[0], Pi[2], Pi[0], Pi[2]}; /* ix = vec4(Pi.x, Pi.z, Pi.x, Pi.z) */ + vec4 iy = {Pi[1], Pi[1], Pi[3], Pi[3]}; /* iy = vec4(Pi.y, Pi.y, Pi.w, Pi.w) */ + vec4 fx = {Pf[0], Pf[2], Pf[0], Pf[2]}; /* fx = vec4(Pf.x, Pf.z, Pf.x, Pf.z) */ + vec4 fy = {Pf[1], Pf[1], Pf[3], Pf[3]}; /* fy = vec4(Pf.y, Pf.y, Pf.w, Pf.w) */ + + /* ------------ */ + + /* i = permute(permute(ix) + iy); */ + vec4 i; + glm__noiseDetail_permute(ix, i); /* i = permute(ix) */ + glm_vec4_add(i, iy, i); /* i += iy; */ + glm__noiseDetail_permute(i, i); /* i = permute(i) */ + + /* ------------ */ + + vec4 gx, gy; + glm__noiseDetail_i2gxy(i, gx, gy); + + /* ------------ */ + + vec2 g00 = {gx[0], gy[0]}; /* g00 = vec2(gx.x, gy.x) */ + vec2 g10 = {gx[1], gy[1]}; /* g10 = vec2(gx.y, gy.y) */ + vec2 g01 = {gx[2], gy[2]}; /* g01 = vec2(gx.z, gy.z) */ + vec2 g11 = {gx[3], gy[3]}; /* g11 = vec2(gx.w, gy.w) */ + + glm__noiseDetail_gradNorm_vec2(g00, g01, g10, g11); + + /* ------------ */ + + /* n00 = dot(g00, vec2(fx.x, fy.x)) */ + vec2 n00d = {fx[0], fy[0]}; /* n00d = vec2(fx.x, fy.x) */ + float n00 = glm_vec2_dot(g00, n00d); /* n00 = dot(g00, n00d) */ + + /* n10 = dot(g10, vec2(fx.y, fy.y)) */ + vec2 n10d = {fx[1], fy[1]}; /* n10d = vec2(fx.y, fy.y) */ + float n10 = glm_vec2_dot(g10, n10d); /* n10 = dot(g10, n10d) */ + + /* n01 = dot(g01, vec2(fx.z, fy.z)) */ + vec2 n01d = {fx[2], fy[2]}; /* n01d = vec2(fx.z, fy.z) */ + float n01 = glm_vec2_dot(g01, n01d); /* n01 = dot(g01, n01d) */ + + /* n11 = dot(g11, vec2(fx.w, fy.w)) */ + vec2 n11d = {fx[3], fy[3]}; /* n11d = vec2(fx.w, fy.w) */ + float n11 = glm_vec2_dot(g11, n11d); /* n11 = dot(g11, n11d) */ + + /* ------------ */ + + /* fade_xyz = fade(vec2(Pf.x, Pf.y)) */ + vec2 fade_xy; + vec2 temp2 = {Pf[0], Pf[1]}; /* temp = vec2(Pf.x, Pf.y) */ + glm__noiseDetail_fade_vec2(temp2, fade_xy); /* fade_xy = fade(temp) */ + + /* n_x = lerp(vec2(n00, n01), vec2(n10, n11), fade_xy.x); */ + vec2 n_x; + vec2 n_x1 = {n00, n01}; /* n_x1 = vec2(n00, n01) */ + vec2 n_x2 = {n10, n11}; /* n_x2 = vec2(n10, n11) */ + glm_vec2_lerp(n_x1, n_x2, fade_xy[0], n_x); /* n_x = lerp(n_x1, n_x2, fade_xy.x) */ + + /* T n_xy = mix(n_x.x, n_x.y, fade_xy.y); */ + /* n_xy = lerp(n_x.x, n_x.y, fade_xy.y); */ + float n_xy = glm_lerp(n_x[0], n_x[1], fade_xy[1]); + + return n_xy * 2.3f; +} + +/* Undefine all helper macros */ + +#undef glm__noiseDetail_mod289 +#undef glm__noiseDetail_permute +#undef glm__noiseDetail_fade_vec4 +#undef glm__noiseDetail_fade_vec3 +#undef glm__noiseDetail_fade_vec2 +#undef glm__noiseDetail_taylorInvSqrt +#undef glm__noiseDetail_gradNorm_vec4 +#undef glm__noiseDetail_gradNorm_vec3 +#undef glm__noiseDetail_gradNorm_vec2 +#undef glm__noiseDetail_i2gxyzw +#undef glm__noiseDetail_i2gxyz +#undef glm__noiseDetail_i2gxy + +#endif /* cglm_noise_h */ |