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21 | */ |
21 | */ |
22 | |
22 | |
23 | #ifndef NOISE_H_ |
23 | #ifndef NOISE_H_ |
24 | #define NOISE_H_ |
24 | #define NOISE_H_ |
25 | |
25 | |
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26 | #include <blitz/tinyvec.h> |
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27 | #include <blitz/tinyvec-et.h> |
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28 | |
26 | #include "global.h" |
29 | #include "global.h" |
27 | |
30 | |
28 | template<int N, typename T = float> |
31 | typedef blitz::TinyVector<float,2> vec2d; |
29 | struct gen_vec_base |
32 | typedef blitz::TinyVector<float,3> vec3d; |
30 | { |
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31 | enum { D = N }; |
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32 | T v[N]; |
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33 | |
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34 | T &operator [](int n) |
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35 | { |
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36 | return v[n]; |
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37 | } |
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38 | |
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39 | template<typename U> |
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40 | const gen_vec_base<N,T> &operator =(gen_vec_base<N,U> v) |
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41 | { |
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42 | for (int i = 0; i < N; ++i) |
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43 | this->v[i] = v.v[i]; |
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44 | |
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45 | return *this; |
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46 | } |
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47 | }; |
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48 | |
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49 | template<int N, typename T> |
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50 | gen_vec_base<N,T> floor (gen_vec_base<N,T> v) |
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51 | { |
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52 | for (int i = 0; i < N; ++i) |
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53 | v[i] = floor (v[i]); |
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54 | |
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55 | return v; |
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56 | } |
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57 | |
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58 | template<int N, typename T, typename U> |
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59 | gen_vec_base<N,T> operator +(gen_vec_base<N,T> a, gen_vec_base<N,U> b) |
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60 | { |
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61 | gen_vec_base<N,T> c; |
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62 | |
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63 | for (int i = 0; i < N; ++i) |
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64 | c[i] = a[i] + b[i]; |
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65 | |
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66 | return c; |
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67 | } |
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68 | |
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69 | template<int N, typename T, typename U> |
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70 | gen_vec_base<N,T> operator -(gen_vec_base<N,T> a, gen_vec_base<N,U> b) |
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71 | { |
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72 | gen_vec_base<N,T> c; |
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73 | |
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74 | for (int i = 0; i < N; ++i) |
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75 | c[i] = a[i] - b[i]; |
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76 | |
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77 | return c; |
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78 | } |
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79 | |
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80 | template<int N, typename T, typename U> |
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81 | T operator *(gen_vec_base<N,T> a, gen_vec_base<N,U> b) |
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82 | { |
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83 | T v = 0; |
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84 | |
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85 | for (int i = 0; i < N; ++i) |
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86 | v += a[i] * b[i]; |
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87 | |
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88 | return v; |
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89 | } |
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90 | |
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91 | template<int N, typename T = float> |
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92 | struct gen_vec; |
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93 | |
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94 | template<typename T> |
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95 | struct gen_vec<2,T> : gen_vec_base<2,T> |
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96 | { |
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97 | using gen_vec_base<2,T>::operator =; |
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98 | |
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99 | gen_vec () |
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100 | { |
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101 | } |
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102 | |
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103 | gen_vec (T x, T y) |
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104 | { |
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105 | this->v[0] = x; |
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106 | this->v[1] = y; |
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107 | } |
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108 | |
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109 | template<typename U> |
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110 | gen_vec (gen_vec_base<2,U> v) |
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111 | { |
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112 | *this = v; |
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113 | } |
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114 | }; |
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115 | |
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116 | template<typename T> |
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117 | struct gen_vec<3,T> : gen_vec_base<3,T> |
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118 | { |
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119 | gen_vec () |
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120 | { |
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121 | } |
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122 | |
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123 | gen_vec (T x, T y, T z) |
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124 | { |
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125 | this->v[0] = x; |
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126 | this->v[1] = y; |
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127 | this->v[2] = z; |
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128 | } |
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129 | |
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130 | template<typename U> |
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131 | gen_vec (gen_vec_base<3,U> v) |
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132 | { |
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133 | *this = v; |
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134 | } |
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135 | }; |
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136 | |
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137 | typedef gen_vec<2> vec2d; |
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138 | typedef gen_vec<3> vec3d; |
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139 | |
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140 | template<int N, typename T = float> |
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141 | struct space |
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142 | { |
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143 | enum { D = N }; |
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144 | typedef gen_vec<N,T> vec; |
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145 | }; |
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146 | |
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147 | typedef space<2> space2d; |
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148 | typedef space<3> space3d; |
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149 | |
33 | |
150 | ///////////////////////////////////////////////////////////////////////////// |
34 | ///////////////////////////////////////////////////////////////////////////// |
151 | |
35 | |
152 | template<int N, typename T = uint8_t> |
36 | template<int N, typename T = uint8_t> |
153 | struct permutation |
37 | struct permutation |
154 | { |
38 | { |
155 | T pmap [N]; |
39 | T pmap[N]; |
156 | |
40 | |
157 | template<class generator> |
41 | template<class generator> |
158 | void seed (generator &rng) |
42 | void seed (generator &rng) |
159 | { |
43 | { |
160 | for (int i = 0; i < N; ++i) |
44 | for (int i = 0; i < N; ++i) |
161 | pmap [i] = i; |
45 | pmap[i] = i; |
162 | |
46 | |
163 | // fisher-yates to randomly perturb |
47 | // fisher-yates to randomly perturb |
164 | for (int i = N; --i; ) |
48 | for (int i = N; --i; ) |
165 | ::swap (pmap [i], pmap [::rmg_rndm (i + 1)]); |
49 | ::swap (pmap[i], pmap[rng (i + 1)]); |
166 | } |
50 | } |
167 | |
51 | |
168 | T operator ()(T v) |
52 | T operator ()(T v) |
169 | { |
53 | { |
170 | return pmap [v & (N - 1)]; |
54 | return pmap[v & (N - 1)]; |
171 | } |
55 | } |
172 | }; |
56 | }; |
173 | |
57 | |
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58 | template<class vec_t> |
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59 | struct noise_gen; |
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60 | |
174 | // modelled after 2d/3d kensler noise without projection |
61 | // modelled after 2d/3d kensler noise without projection |
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62 | template<> |
175 | struct noise2d |
63 | struct noise_gen<vec2d> |
176 | { |
64 | { |
177 | permutation<256, uint8_t> rvmap[2]; |
65 | permutation<256, uint8_t> rvmap[2]; |
178 | vec2d rvec[256]; // random unit vectors |
66 | vec2d rvec[256]; // random unit vectors |
179 | |
67 | |
180 | noise2d (uint32_t seed); |
68 | noise_gen<vec2d> (uint32_t seed); |
181 | float noise (float x, float y); |
69 | vec2d::T_numtype operator() (vec2d P); |
182 | }; |
70 | }; |
183 | |
71 | |
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72 | template<> |
184 | struct noise3d |
73 | struct noise_gen<vec3d> |
185 | { |
74 | { |
186 | permutation<256, uint8_t> rvmap[3]; |
75 | permutation<256, uint8_t> rvmap[3]; |
187 | float rvec[256][3]; // random unit vectors |
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188 | |
76 | |
189 | noise3d (uint32_t seed); |
77 | noise_gen<vec3d> (uint32_t seed); |
190 | float noise (float x, float y, float z); |
78 | vec2d::T_numtype operator() (vec3d P); |
191 | |
79 | |
192 | // noise projected on a surface with normal n |
80 | // noise projected on a surface with normal n |
193 | float noise (float x, float y, float z, float nx, float ny, float nz); |
81 | vec2d::T_numtype operator() (vec3d P, vec3d N); |
194 | }; |
82 | }; |
195 | |
83 | |
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84 | template<class vec_t, int a, int b> |
196 | struct rotate |
85 | struct rotate_nn |
197 | { |
86 | { |
198 | float s, c; |
87 | typename vec_t::T_numtype s, c; |
199 | |
88 | |
200 | void set (float angle) |
89 | void set (typename vec_t::T_numtype angle) |
201 | { |
90 | { |
202 | s = sinf (angle); |
91 | s = sin (angle); |
203 | c = cosf (angle); |
92 | c = cos (angle); |
204 | } |
93 | } |
205 | |
94 | |
206 | void operator ()(float &x, float &y) const |
95 | void operator ()(vec_t &P) const |
207 | { |
96 | { |
208 | float xr = x * c - y * s; |
97 | vec_t o = P; |
209 | float yr = x * s + y * c; |
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210 | |
98 | |
211 | x = xr; |
99 | P[a] = o[a] * c - o[b] * s; |
212 | y = yr; |
100 | P[b] = o[a] * s + o[b] * c; |
213 | } |
101 | } |
214 | }; |
102 | }; |
215 | |
103 | |
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104 | template<class vec_t> |
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105 | struct rotate_xy : rotate_nn<vec_t, 0, 1> |
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106 | { |
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107 | }; |
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108 | |
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109 | template<class vec_t> |
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110 | struct rotate_xz : rotate_nn<vec_t, 0, 2> |
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111 | { |
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112 | }; |
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113 | |
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114 | template<class vec_t> |
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115 | struct rotate_yz : rotate_nn<vec_t, 1, 2> |
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116 | { |
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117 | }; |
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118 | |
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119 | template<class vec_t> |
216 | struct frac_gen |
120 | struct frac_gen |
217 | : noise2d |
121 | : noise_gen<vec_t> |
218 | { |
122 | { |
219 | enum { MAX_OCTAVES = 64 }; |
123 | enum { MAX_OCTAVES = 64 }; |
220 | |
124 | |
221 | float h, lac, ex [MAX_OCTAVES]; |
125 | typedef typename vec_t::T_numtype value_t; |
222 | float fbm_mul [MAX_OCTAVES]; |
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223 | rotate rot [MAX_OCTAVES]; |
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224 | |
126 | |
225 | frac_gen (float hurst_expo = .5f, float lacunarity = 2.f); |
127 | value_t h, lac, ex[MAX_OCTAVES]; |
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128 | value_t fbm_mul[MAX_OCTAVES]; |
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129 | rotate_xy<vec_t> rot[MAX_OCTAVES]; |
226 | |
130 | |
227 | float fBm (float x, float y, int octaves); |
131 | value_t noise (vec_t P) |
228 | float turbulence (float x, float y, int octaves); |
132 | { |
229 | float multifractal (float x, float y, int octaves, float offset = 1); |
133 | return operator() (P); |
230 | float heterofractal (float x, float y, int octaves, float offset = 1); |
134 | } |
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135 | |
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136 | frac_gen (value_t hurst_expo = .5f, value_t lacunarity = 2.f); |
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137 | |
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138 | value_t fBm (vec_t P, int octaves); |
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139 | value_t turbulence (vec_t P, int octaves); |
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140 | value_t multifractal (vec_t P, int octaves, value_t offset = 1); |
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141 | value_t heterofractal (vec_t P, int octaves, value_t offset = 1); |
231 | float hybridfractal (float x, float y, int octaves, float offset = 1, float gain = 1); |
142 | value_t hybridfractal (vec_t P, int octaves, value_t offset = 1, value_t gain = 1); |
232 | float terrain (float x, float y, int octaves); |
143 | value_t terrain (vec_t P, int octaves); |
233 | float terrain2 (float x, float y, int octaves); |
144 | value_t terrain2 (vec_t P, int octaves); |
234 | float ridgedmultifractal (float x, float y, int octaves, float offset = 1, float gain = 8); |
145 | value_t ridgedmultifractal (vec_t P, int octaves, value_t offset = 1, value_t gain = 8); |
235 | }; |
146 | }; |
236 | |
147 | |
237 | #endif |
148 | #endif |
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149 | |