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noise.hpp
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noise.hpp
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#pragma once
#include <cmath>
#include <cstdint>
#include <type_traits>
namespace perlin{
static constexpr uint_fast8_t perm[512] = {
151, 160, 137, 91, 90, 15, 131, 13, 201, 95, 96, 53, 194, 233,
7, 225, 140, 36, 103, 30, 69, 142, 8, 99, 37, 240, 21, 10, 23,
190, 6, 148, 247, 120, 234, 75, 0, 26, 197, 62, 94, 252, 219,
203, 117, 35, 11, 32, 57, 177, 33, 88, 237, 149, 56, 87, 174,
20, 125, 136, 171, 168, 68, 175, 74, 165, 71, 134, 139, 48, 27,
166, 77, 146, 158, 231, 83, 111, 229, 122, 60, 211, 133, 230,
220, 105, 92, 41, 55, 46, 245, 40, 244, 102, 143, 54, 65, 25,
63, 161, 1, 216, 80, 73, 209, 76, 132, 187, 208, 89, 18, 169,
200, 196, 135, 130, 116, 188, 159, 86, 164, 100, 109, 198, 173,
186, 3, 64, 52, 217, 226, 250, 124, 123, 5, 202, 38, 147, 118,
126, 255, 82, 85, 212, 207, 206, 59, 227, 47, 16, 58, 17, 182,
189, 28, 42, 223, 183, 170, 213, 119, 248, 152, 2, 44, 154, 163,
70, 221, 153, 101, 155, 167, 43, 172, 9, 129, 22, 39, 253, 19,
98, 108, 110, 79, 113, 224, 232, 178, 185, 112, 104, 218, 246,
97, 228, 251, 34, 242, 193, 238, 210, 144, 12, 191, 179, 162,
241, 81, 51, 145, 235, 249, 14, 239, 107, 49, 192, 214, 31, 181,
199, 106, 157, 184, 84, 204, 176, 115, 121, 50, 45, 127, 4, 150,
254, 138, 236, 205, 93, 222, 114, 67, 29, 24, 72, 243, 141, 128,
195, 78, 66, 215, 61, 156, 180, 151, 160, 137, 91, 90, 15, 131,
13, 201, 95, 96, 53, 194, 233, 7, 225, 140, 36, 103, 30, 69,
142, 8, 99, 37, 240, 21, 10, 23, 190, 6, 148, 247, 120, 234, 75,
0, 26, 197, 62, 94, 252, 219, 203, 117, 35, 11, 32, 57, 177, 33,
88, 237, 149, 56, 87, 174, 20, 125, 136, 171, 168, 68, 175, 74,
165, 71, 134, 139, 48, 27, 166, 77, 146, 158, 231, 83, 111, 229,
122, 60, 211, 133, 230, 220, 105, 92, 41, 55, 46, 245, 40, 244,
102, 143, 54, 65, 25, 63, 161, 1, 216, 80, 73, 209, 76, 132,
187, 208, 89, 18, 169, 200, 196, 135, 130, 116, 188, 159, 86,
164, 100, 109, 198, 173, 186, 3, 64, 52, 217, 226, 250, 124,
123, 5, 202, 38, 147, 118, 126, 255, 82, 85, 212, 207, 206, 59,
227, 47, 16, 58, 17, 182, 189, 28, 42, 223, 183, 170, 213, 119,
248, 152, 2, 44, 154, 163, 70, 221, 153, 101, 155, 167, 43, 172,
9, 129, 22, 39, 253, 19, 98, 108, 110, 79, 113, 224, 232, 178,
185, 112, 104, 218, 246, 97, 228, 251, 34, 242, 193, 238, 210,
144, 12, 191, 179, 162, 241, 81, 51, 145, 235, 249, 14, 239,
107, 49, 192, 214, 31, 181, 199, 106, 157, 184, 84, 204, 176,
115, 121, 50, 45, 127, 4, 150, 254, 138, 236, 205, 93, 222, 114,
67, 29, 24, 72, 243, 141, 128, 195, 78, 66, 215, 61, 156, 180
};
template<class real>
inline constexpr real fade(const real t){
static_assert(
std::is_floating_point<real>::value,
"real must be a floating point type"
);
return pow(t, 3) * (t * (t * 6 - 15) + 10);
}
template<class real>
inline constexpr real lerp(
const real t,
const real a,
const real b
){
static_assert(
std::is_floating_point<real>::value,
"real must be a floating point type"
);
return a + t * (b - a);
}
template<class real>
inline constexpr real grad(
const int hash,
const real x,
const real y,
const real z
){
static_assert(
std::is_floating_point<real>::value,
"real must be a floating point type"
);
const auto h = hash & 15;
const auto u = h < 8 ? x : y,
v = h < 4 ? y : h == 12 || h == 14 ? x : z;
return ((h & 1) == 0 ? u : -u)
+ ((h & 2) == 0 ? v : -v);
}
template<class real>
inline constexpr real noise(
const real x = 0.0,
const real y = 0.0,
const real z = 0.0
){
static_assert(
std::is_floating_point<real>::value,
"real must be a floating point type"
);
const auto unit_x = (int)floor(x) & 255,
unit_y = (int)floor(y) & 255,
unit_z = (int)floor(z) & 255;
const auto sub_x = x - floor(x),
sub_y = y - floor(y),
sub_z = z - floor(z);
const auto u = fade(sub_x),
v = fade(sub_y),
w = fade(sub_z);
const auto a = perm[unit_x] + unit_y,
aa = perm[a] + unit_z,
ab = perm[a + 1] + unit_z,
b = perm[unit_x + 1] + unit_y,
ba = perm[b] + unit_z,
bb = perm[b + 1] + unit_z;
return lerp(w,
lerp(
v,
lerp(
u,
grad(
perm[aa],
sub_x,
sub_y,
sub_z
),
grad(
perm[ba],
sub_x - 1,
sub_y,
sub_z
)
),
lerp(
u,
grad(
perm[ab],
sub_x,
sub_y - 1,
sub_z
),
grad(
perm[bb],
sub_x - 1,
sub_y - 1,
sub_z
)
)
),
lerp(
v,
lerp(
u,
grad(
perm[aa + 1],
sub_x,
sub_y,
sub_z - 1
),
grad(
perm[ba + 1],
sub_x - 1,
sub_y,
sub_z - 1
)
),
lerp(
u,
grad(
perm[ab + 1],
sub_x,
sub_y - 1,
sub_z - 1
),
grad(
perm[bb + 1],
sub_x - 1,
sub_y - 1,
sub_z - 1
)
)
)
);
}
};