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1 #include <stdlib.h>
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2 #include "pnoise.h"
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3 #include "vmath/vmath.h"
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4
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5 #define B 0x100
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6 #define BM 0xff
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7 #define N 0x1000
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8 #define NP 12
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9 #define NM 0xfff
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10
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11 #define s_curve(t) ((t) * (t) * (3.0f - 2.0f * (t)))
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12 #define setup(elem, b0, b1, r0, r1) \
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13 do { \
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14 scalar_t t = elem + N; \
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15 b0 = ((int)t) & BM; \
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16 b1 = (b0 + 1) & BM; \
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17 r0 = t - (int)t; \
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18 r1 = r0 - 1.0f; \
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19 } while(0)
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20
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21 #define setup_p(elem, b0, b1, r0, r1, p) \
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22 do { \
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23 scalar_t t = elem + N; \
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24 b0 = (((int)t) & BM) % p; \
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25 b1 = ((b0 + 1) & BM) % p; \
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26 r0 = t - (int)t; \
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27 r1 = r0 - 1.0f; \
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28 } while(0)
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29
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30 static int perm[B + B + 2];
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31 static vec2_t grad2[B + B + 2];
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32 static bool tables_valid;
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33
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34 static void init_noise()
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35 {
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36 for(int i=0; i<B; i++) {
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37 perm[i] = i;
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38
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39 grad2[i].x = (float)((rand() % (B + B)) - B) / B;
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40 grad2[i].y = (float)((rand() % (B + B)) - B) / B;
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41 grad2[i] = v2_normalize(grad2[i]);
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42 }
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43
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44 for(int i=0; i<B; i++) {
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45 int rand_idx = rand() % B;
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46
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47 int tmp = perm[i];
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48 perm[i] = perm[rand_idx];
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49 perm[rand_idx] = tmp;
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50 }
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51
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52 for(int i=0; i<B+2; i++) {
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53 perm[B + i] = perm[i];
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54 grad2[B + i] = grad2[i];
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55 }
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56 }
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57
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58 #define lerp(a, b, t) ((a) + ((b) - (a)) * t)
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59
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60 float dbg_noise2(float x, float y)
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61 {
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62 if(!tables_valid) {
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63 init_noise();
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64 tables_valid = true;
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65 }
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66
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67 int bx0, bx1, by0, by1;
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68 float rx0, rx1, ry0, ry1;
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69 setup(x, bx0, bx1, rx0, rx1);
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70 setup(y, by0, by1, ry0, ry1);
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71
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72 int i = perm[bx0];
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73 int j = perm[bx1];
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74
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75 int b00 = perm[i + by0];
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76 int b10 = perm[j + by0];
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77 int b01 = perm[i + by1];
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78 int b11 = perm[j + by1];
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79
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80 float sx = s_curve(rx0);
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81 float sy = s_curve(ry0);
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82
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83 vec2_t g00 = grad2[b00];
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84 vec2_t g10 = grad2[b10];
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85 vec2_t g01 = grad2[b01];
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86 vec2_t g11 = grad2[b11];
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87
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88 float u = g00.x * rx0 + g00.y * ry0;
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89 float v = g10.x * rx1 + g10.y * ry0;
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90 float a = lerp(u, v, sx);
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91
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92 u = g01.x * rx0 + g01.y * ry1;
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93 v = g11.x * rx1 + g11.y * ry1;
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94 float b = lerp(u, v, sx);
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95
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96 return lerp(a, b, sy);
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97 }
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98
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99 float pnoise2(float x, float y, int period)
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100 {
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101 if(!tables_valid) {
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102 init_noise();
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103 tables_valid = true;
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104 }
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105
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106 int bx0, bx1, by0, by1;
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107 float rx0, rx1, ry0, ry1;
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108 setup_p(x, bx0, bx1, rx0, rx1, period);
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109 setup_p(y, by0, by1, ry0, ry1, period);
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110
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111 int i = perm[bx0];
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112 int j = perm[bx1];
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113
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114 int b00 = perm[i + by0];
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115 int b10 = perm[j + by0];
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116 int b01 = perm[i + by1];
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117 int b11 = perm[j + by1];
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118
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119 float sx = s_curve(rx0);
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120 float sy = s_curve(ry0);
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121
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122 vec2_t g00 = grad2[b00];
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123 vec2_t g10 = grad2[b10];
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124 vec2_t g01 = grad2[b01];
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125 vec2_t g11 = grad2[b11];
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126
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127 float u = g00.x * rx0 + g00.y * ry0;
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128 float v = g10.x * rx1 + g10.y * ry0;
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129 float a = lerp(u, v, sx);
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130
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131 u = g01.x * rx0 + g01.y * ry1;
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132 v = g11.x * rx1 + g11.y * ry1;
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133 float b = lerp(u, v, sx);
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134
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135 return lerp(a, b, sy);
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136 }
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137
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138 float pfbm2(float x, float y, int octaves, int period)
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139 {
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140 float res = 0.0;
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141 float s = 1.0;
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142
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143 for(int i=0; i<octaves; i++) {
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144 float v = pnoise2(x * s, y * s, period);
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145 res += v / s;
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146 s *= 2.0;
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147 period *= 2;
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148 }
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149
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150 return res;
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151 }
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152
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153 float pturbulence2(float x, float y, int octaves, int period)
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154 {
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155 float res = 0.0;
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156 float s = 1.0;
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157
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158 for(int i=0; i<octaves; i++) {
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159 float v = fabs(pnoise2(x * s, y * s, period));
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160 res += v / s;
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161 s *= 2.0;
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162 period *= 2;
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163 }
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164
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165 return res;
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166 }
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