Line |
Branch |
Exec |
Source |
1 |
|
|
// Copyright Contributors to the OpenVDB Project |
2 |
|
|
// SPDX-License-Identifier: MPL-2.0 |
3 |
|
|
|
4 |
|
|
/// @file math/OpenSimplexNoise.h |
5 |
|
|
/// |
6 |
|
|
/// @authors Francisco Gochez |
7 |
|
|
/// |
8 |
|
|
/// @brief Methods for generating OpenSimplexNoise (n-dimensional gradient noise) |
9 |
|
|
/// |
10 |
|
|
/// @details This code is based on https://gist.github.com/tombsar/716134ec71d1b8c1b530 |
11 |
|
|
/// (accessed on 22/05/2019). We have simplified that code in a number of ways, |
12 |
|
|
/// most notably by removing the template on dimension (this only generates 3 |
13 |
|
|
/// dimensional noise) and removing the base class as it's unnecessary for our |
14 |
|
|
/// uses. We also assume C++ 2011 or above and have thus removed a number of |
15 |
|
|
/// ifdef blocks. |
16 |
|
|
/// |
17 |
|
|
/// The OSN namespace contains the original copyright. |
18 |
|
|
/// |
19 |
|
|
|
20 |
|
|
#ifndef OPENVDB_AX_MATH_OPEN_SIMPLEX_NOISE_HAS_BEEN_INCLUDED |
21 |
|
|
#define OPENVDB_AX_MATH_OPEN_SIMPLEX_NOISE_HAS_BEEN_INCLUDED |
22 |
|
|
|
23 |
|
|
#include <openvdb/version.h> |
24 |
|
|
#include <cstdint> |
25 |
|
|
|
26 |
|
|
namespace openvdb { |
27 |
|
|
OPENVDB_USE_VERSION_NAMESPACE |
28 |
|
|
namespace OPENVDB_VERSION_NAME { |
29 |
|
|
|
30 |
|
|
namespace ax { |
31 |
|
|
namespace math { |
32 |
|
|
|
33 |
|
|
template <typename NoiseT> |
34 |
|
79 |
void curlnoise(double (*out)[3], const double (*in)[3]) |
35 |
|
|
{ |
36 |
|
|
float delta = 0.0001f; |
37 |
|
|
float a, b; |
38 |
|
|
|
39 |
|
|
// noise coordinates for vector potential components. |
40 |
|
|
float p[3][3] = { |
41 |
|
79 |
{ static_cast<float>((*in)[0]) + 000.0f, static_cast<float>((*in)[1]) + 000.0f, static_cast<float>((*in)[2]) + 000.0f }, // x |
42 |
|
79 |
{ static_cast<float>((*in)[0]) + 256.0f, static_cast<float>((*in)[1]) - 256.0f, static_cast<float>((*in)[2]) + 256.0f }, // y |
43 |
|
79 |
{ static_cast<float>((*in)[0]) - 512.0f, static_cast<float>((*in)[1]) + 512.0f, static_cast<float>((*in)[2]) - 512.0f }, // z |
44 |
|
|
}; |
45 |
|
|
|
46 |
|
|
OPENVDB_NO_TYPE_CONVERSION_WARNING_BEGIN |
47 |
|
|
// Compute curl.x |
48 |
|
79 |
a = (NoiseT::noise(p[2][0], p[2][1] + delta, p[2][2]) - NoiseT::noise(p[2][0], p[2][1] - delta, p[2][2])) / (2.0f * delta); |
49 |
|
79 |
b = (NoiseT::noise(p[1][0], p[1][1], p[1][2] + delta) - NoiseT::noise(p[1][0], p[1][1], p[1][2] - delta)) / (2.0f * delta); |
50 |
|
79 |
(*out)[0] = a - b; |
51 |
|
|
|
52 |
|
|
// Compute curl.y |
53 |
|
79 |
a = (NoiseT::noise(p[0][0], p[0][1], p[0][2] + delta) - NoiseT::noise(p[0][0], p[0][1], p[0][2] - delta)) / (2.0f * delta); |
54 |
|
79 |
b = (NoiseT::noise(p[2][0] + delta, p[2][1], p[2][2]) - NoiseT::noise(p[2][0] - delta, p[2][1], p[2][2])) / (2.0f * delta); |
55 |
|
79 |
(*out)[1] = a - b; |
56 |
|
|
|
57 |
|
|
// Compute curl.z |
58 |
|
79 |
a = (NoiseT::noise(p[1][0] + delta, p[1][1], p[1][2]) - NoiseT::noise(p[1][0] - delta, p[1][1], p[1][2])) / (2.0f * delta); |
59 |
|
79 |
b = (NoiseT::noise(p[0][0], p[0][1] + delta, p[0][2]) - NoiseT::noise(p[0][0], p[0][1] - delta, p[0][2])) / (2.0f * delta); |
60 |
|
79 |
(*out)[2] = a - b; |
61 |
|
|
OPENVDB_NO_TYPE_CONVERSION_WARNING_END |
62 |
|
79 |
} |
63 |
|
|
|
64 |
|
|
template <typename NoiseT> |
65 |
|
40 |
void curlnoise(double (*out)[3], double x, double y, double z) |
66 |
|
|
{ |
67 |
|
40 |
const double in[3] = {x, y, z}; |
68 |
|
40 |
curlnoise<NoiseT>(out, &in); |
69 |
|
40 |
} |
70 |
|
|
|
71 |
|
|
} |
72 |
|
|
} |
73 |
|
|
} |
74 |
|
|
} |
75 |
|
|
|
76 |
|
|
namespace OSN |
77 |
|
|
{ |
78 |
|
|
|
79 |
|
|
// The following is the original copyright notice: |
80 |
|
|
/* |
81 |
|
|
* |
82 |
|
|
* |
83 |
|
|
* OpenSimplex (Simplectic) Noise in C++ |
84 |
|
|
* by Arthur Tombs |
85 |
|
|
* |
86 |
|
|
* Modified 2015-01-08 |
87 |
|
|
* |
88 |
|
|
* This is a derivative work based on OpenSimplex by Kurt Spencer: |
89 |
|
|
* https://gist.github.com/KdotJPG/b1270127455a94ac5d19 |
90 |
|
|
* |
91 |
|
|
* Anyone is free to make use of this software in whatever way they want. |
92 |
|
|
* Attribution is appreciated, but not required. |
93 |
|
|
* |
94 |
|
|
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
95 |
|
|
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF |
96 |
|
|
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. |
97 |
|
|
* IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR |
98 |
|
|
* OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, |
99 |
|
|
* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR |
100 |
|
|
* OTHER DEALINGS IN THE SOFTWARE. |
101 |
|
|
*/ |
102 |
|
|
|
103 |
|
|
// 3D Implementation of the OpenSimplexNoise generator. |
104 |
|
|
class OPENVDB_AX_API OSNoise |
105 |
|
|
{ |
106 |
|
|
public: |
107 |
|
|
using inttype = int64_t; |
108 |
|
|
|
109 |
|
|
// Initializes the class using a permutation array generated from a 64-bit seed. |
110 |
|
|
// Generates a proper permutation (i.e. doesn't merely perform N successive |
111 |
|
|
// pair swaps on a base array). |
112 |
|
|
// Uses a simple 64-bit LCG. |
113 |
|
|
OSNoise(inttype seed = 0LL); |
114 |
|
|
|
115 |
|
|
OSNoise(const int * p); |
116 |
|
|
|
117 |
|
|
template <typename T> |
118 |
|
|
T eval(const T x, const T y, const T z) const; |
119 |
|
|
|
120 |
|
|
private: |
121 |
|
|
|
122 |
|
|
template <typename T> |
123 |
|
|
inline T extrapolate(const inttype xsb, |
124 |
|
|
const inttype ysb, |
125 |
|
|
const inttype zsb, |
126 |
|
|
const T dx, |
127 |
|
|
const T dy, |
128 |
|
|
const T dz) const; |
129 |
|
|
|
130 |
|
|
template <typename T> |
131 |
|
|
inline T extrapolate(const inttype xsb, |
132 |
|
|
const inttype ysb, |
133 |
|
|
const inttype zsb, |
134 |
|
|
const T dx, |
135 |
|
|
const T dy, |
136 |
|
|
const T dz, |
137 |
|
|
T (&de) [3]) const; |
138 |
|
|
|
139 |
|
|
int mPerm [256]; |
140 |
|
|
// Array of gradient values for 3D. Values are defined below the class definition. |
141 |
|
|
static const int sGradients [72]; |
142 |
|
|
|
143 |
|
|
// Because 72 is not a power of two, extrapolate cannot use a bitmask to index |
144 |
|
|
// into the perm array. Pre-calculate and store the indices instead. |
145 |
|
|
int mPermGradIndex [256]; |
146 |
|
|
}; |
147 |
|
|
|
148 |
|
|
} |
149 |
|
|
|
150 |
|
|
#endif // OPENVDB_AX_MATH_OPEN_SIMPLEX_NOISE_HAS_BEEN_INCLUDED |
151 |
|
|
|