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Odin/core/math/noise/internal.odin

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Odin

/*
OpenSimplex2 noise implementation.
Ported from https://github.com/KdotJPG/OpenSimplex2.
Copyright 2022 Yuki2 (https://github.com/NoahR02)
*/
//+private
package math_noise
/*
Private implementation details follow.
*/
PRIME_X :: i64(0x5205402B9270C86F)
PRIME_Y :: i64(0x598CD327003817B5)
PRIME_Z :: i64(0x5BCC226E9FA0BACB)
PRIME_W :: i64(0x56CC5227E58F554B)
HASH_MULTIPLIER :: i64(0x53A3F72DEEC546F5)
SEED_FLIP_3D :: i64(-0x52D547B2E96ED629)
SEED_OFFSET_4D :: i64(0xE83DC3E0DA7164D)
ROOT_2_OVER_2 :: f64(0.7071067811865476)
SKEW_2D :: f64(0.366025403784439)
UNSKEW_2D :: f64(-0.21132486540518713)
ROOT_3_OVER_3 :: f64(0.577350269189626)
FALLBACK_ROTATE_3D :: f64(2.0) / f64(3.0)
ROTATE_3D_ORTHOGONALIZER :: f64(UNSKEW_2D)
SKEW_4D :: f32(0hbe0d8369)
UNSKEW_4D :: f32(0.309016994374947)
LATTICE_STEP_4D :: f32(0.2)
N_GRADS_2D_EXPONENT :: 7
N_GRADS_3D_EXPONENT :: 8
N_GRADS_4D_EXPONENT :: 9
N_GRADS_2D :: 1 << N_GRADS_2D_EXPONENT
N_GRADS_3D :: 1 << N_GRADS_3D_EXPONENT
N_GRADS_4D :: 1 << N_GRADS_4D_EXPONENT
NORMALIZER_2D :: f64(0.01001634121365712)
NORMALIZER_3D :: f64(0.07969837668935331)
NORMALIZER_4D :: f64(0.0220065933241897)
RSQUARED_2D :: f32(0.5)
RSQUARED_3D :: f32(0.6)
RSQUARED_4D :: f32(0.6)
GRADIENTS_2D := [N_GRADS_2D * 2]f32{
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
0h4150804d, 0h42c5f72a, 0h42731b78, 0h429e696c, 0h429e696c, 0h42731b78, 0h42c5f72a, 0h4150804d,
0h42c5f72a, 0hc150804d, 0h429e696c, 0hc2731b78, 0h42731b78, 0hc29e696c, 0h4150804d, 0hc2c5f72a,
0hc150804d, 0hc2c5f72a, 0hc2731b78, 0hc29e696c, 0hc29e696c, 0hc2731b78, 0hc2c5f72a, 0hc150804d,
0hc2c5f72a, 0h4150804d, 0hc29e696c, 0h42731b78, 0hc2731b78, 0h429e696c, 0hc150804d, 0h42c5f72a,
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
0h4150804d, 0h42c5f72a, 0h42731b78, 0h429e696c, 0h429e696c, 0h42731b78, 0h42c5f72a, 0h4150804d,
0h42c5f72a, 0hc150804d, 0h429e696c, 0hc2731b78, 0h42731b78, 0hc29e696c, 0h4150804d, 0hc2c5f72a,
0hc150804d, 0hc2c5f72a, 0hc2731b78, 0hc29e696c, 0hc29e696c, 0hc2731b78, 0hc2c5f72a, 0hc150804d,
0hc2c5f72a, 0h4150804d, 0hc29e696c, 0h42731b78, 0hc2731b78, 0h429e696c, 0hc150804d, 0h42c5f72a,
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
0h4150804d, 0h42c5f72a, 0h42731b78, 0h429e696c, 0h429e696c, 0h42731b78, 0h42c5f72a, 0h4150804d,
0h42c5f72a, 0hc150804d, 0h429e696c, 0hc2731b78, 0h42731b78, 0hc29e696c, 0h4150804d, 0hc2c5f72a,
0hc150804d, 0hc2c5f72a, 0hc2731b78, 0hc29e696c, 0hc29e696c, 0hc2731b78, 0hc2c5f72a, 0hc150804d,
0hc2c5f72a, 0h4150804d, 0hc29e696c, 0h42731b78, 0hc2731b78, 0h429e696c, 0hc150804d, 0h42c5f72a,
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
0h4150804d, 0h42c5f72a, 0h42731b78, 0h429e696c, 0h429e696c, 0h42731b78, 0h42c5f72a, 0h4150804d,
0h42c5f72a, 0hc150804d, 0h429e696c, 0hc2731b78, 0h42731b78, 0hc29e696c, 0h4150804d, 0hc2c5f72a,
0hc150804d, 0hc2c5f72a, 0hc2731b78, 0hc29e696c, 0hc29e696c, 0hc2731b78, 0hc2c5f72a, 0hc150804d,
0hc2c5f72a, 0h4150804d, 0hc29e696c, 0h42731b78, 0hc2731b78, 0h429e696c, 0hc150804d, 0h42c5f72a,
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
0h4150804d, 0h42c5f72a, 0h42731b78, 0h429e696c, 0h429e696c, 0h42731b78, 0h42c5f72a, 0h4150804d,
0h42c5f72a, 0hc150804d, 0h429e696c, 0hc2731b78, 0h42731b78, 0hc29e696c, 0h4150804d, 0hc2c5f72a,
0hc150804d, 0hc2c5f72a, 0hc2731b78, 0hc29e696c, 0hc29e696c, 0hc2731b78, 0hc2c5f72a, 0hc150804d,
0hc2c5f72a, 0h4150804d, 0hc29e696c, 0h42731b78, 0hc2731b78, 0h429e696c, 0hc150804d, 0h42c5f72a,
0h4218d2da, 0h42b87975, 0h42b87975, 0h4218d2da, 0h42b87975, 0hc218d2da, 0h4218d2da, 0hc2b87975,
0hc218d2da, 0hc2b87975, 0hc2b87975, 0hc218d2da, 0hc2b87975, 0h4218d2da, 0hc218d2da, 0h42b87975,
}
GRADIENTS_3D := [N_GRADS_3D * 4]f32{
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
0hc1df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0hc16b5146, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc16b5146, 0h00000000,
0hc1df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0hc21ae5b8, 0h00000000, 0h416b5146, 0h00000000, 0hc16b5146, 0h00000000, 0h421ae5b8, 0h00000000,
0hc148c1c5, 0h41df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0hc1df5103, 0h00000000,
0h00000000, 0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000,
0hc148c1c5, 0h41df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0h41df5103, 0h00000000,
0h00000000, 0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000,
0h41df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000, 0h00000000,
0h41df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0h421ae5b8, 0h00000000, 0hc16b5146, 0h00000000, 0h416b5146, 0h00000000, 0hc21ae5b8, 0h00000000,
0h41df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0h416b5146, 0h00000000, 0h421ae5b8, 0h00000000, 0h421ae5b8, 0h00000000, 0h416b5146, 0h00000000,
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
0hc1df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0hc16b5146, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc16b5146, 0h00000000,
0hc1df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0hc21ae5b8, 0h00000000, 0h416b5146, 0h00000000, 0hc16b5146, 0h00000000, 0h421ae5b8, 0h00000000,
0hc148c1c5, 0h41df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0hc1df5103, 0h00000000,
0h00000000, 0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000,
0hc148c1c5, 0h41df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0h41df5103, 0h00000000,
0h00000000, 0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000,
0h41df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000, 0h00000000,
0h41df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0h421ae5b8, 0h00000000, 0hc16b5146, 0h00000000, 0h416b5146, 0h00000000, 0hc21ae5b8, 0h00000000,
0h41df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0h416b5146, 0h00000000, 0h421ae5b8, 0h00000000, 0h421ae5b8, 0h00000000, 0h416b5146, 0h00000000,
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
0hc1df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0hc16b5146, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc16b5146, 0h00000000,
0hc1df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0hc21ae5b8, 0h00000000, 0h416b5146, 0h00000000, 0hc16b5146, 0h00000000, 0h421ae5b8, 0h00000000,
0hc148c1c5, 0h41df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0hc1df5103, 0h00000000,
0h00000000, 0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000,
0hc148c1c5, 0h41df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0h41df5103, 0h00000000,
0h00000000, 0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000,
0h41df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000, 0h00000000,
0h41df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0h421ae5b8, 0h00000000, 0hc16b5146, 0h00000000, 0h416b5146, 0h00000000, 0hc21ae5b8, 0h00000000,
0h41df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0h416b5146, 0h00000000, 0h421ae5b8, 0h00000000, 0h421ae5b8, 0h00000000, 0h416b5146, 0h00000000,
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
0hc1df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0hc16b5146, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc16b5146, 0h00000000,
0hc1df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0hc21ae5b8, 0h00000000, 0h416b5146, 0h00000000, 0hc16b5146, 0h00000000, 0h421ae5b8, 0h00000000,
0hc148c1c5, 0h41df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0hc1df5103, 0h00000000,
0h00000000, 0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000,
0hc148c1c5, 0h41df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0h41df5103, 0h00000000,
0h00000000, 0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000,
0h41df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000, 0h00000000,
0h41df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0h421ae5b8, 0h00000000, 0hc16b5146, 0h00000000, 0h416b5146, 0h00000000, 0hc21ae5b8, 0h00000000,
0h41df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0h416b5146, 0h00000000, 0h421ae5b8, 0h00000000, 0h421ae5b8, 0h00000000, 0h416b5146, 0h00000000,
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
0hc1df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0hc16b5146, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc21ae5b8, 0h00000000, 0hc16b5146, 0h00000000,
0hc1df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0hc1df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0hc21ae5b8, 0h00000000, 0h416b5146, 0h00000000, 0hc16b5146, 0h00000000, 0h421ae5b8, 0h00000000,
0hc148c1c5, 0h41df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0hc1df5103, 0h00000000,
0h00000000, 0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000,
0hc148c1c5, 0h41df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0h41df5103, 0h41df5103, 0h00000000,
0h00000000, 0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000,
0h41df5103, 0hc1df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0hc1df5103, 0h4148c1c5, 0h00000000,
0h416b5146, 0hc21ae5b8, 0h00000000, 0h00000000, 0h421ae5b8, 0hc16b5146, 0h00000000, 0h00000000,
0h41df5103, 0hc148c1c5, 0hc1df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0hc1df5103, 0h00000000,
0h421ae5b8, 0h00000000, 0hc16b5146, 0h00000000, 0h416b5146, 0h00000000, 0hc21ae5b8, 0h00000000,
0h41df5103, 0hc148c1c5, 0h41df5103, 0h00000000, 0h41df5103, 0h4148c1c5, 0h41df5103, 0h00000000,
0h416b5146, 0h00000000, 0h421ae5b8, 0h00000000, 0h421ae5b8, 0h00000000, 0h416b5146, 0h00000000,
0h41df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0h41df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0h421ae5b8, 0h416b5146, 0h00000000, 0h00000000, 0h416b5146, 0h421ae5b8, 0h00000000, 0h00000000,
0hc1df5103, 0h41df5103, 0hc148c1c5, 0h00000000, 0hc1df5103, 0h41df5103, 0h4148c1c5, 0h00000000,
0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000, 0h00000000,
0hc148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0hc1df5103, 0h00000000,
0h00000000, 0hc21ae5b8, 0hc16b5146, 0h00000000, 0h00000000, 0hc16b5146, 0hc21ae5b8, 0h00000000,
0hc148c1c5, 0hc1df5103, 0h41df5103, 0h00000000, 0h4148c1c5, 0hc1df5103, 0h41df5103, 0h00000000,
0h00000000, 0hc16b5146, 0h421ae5b8, 0h00000000, 0h00000000, 0hc21ae5b8, 0h416b5146, 0h00000000,
}
GRADIENTS_4D := [N_GRADS_4D * 4]f32{
0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc208695c, 0hc19194b0, 0h40de6d7d, 0h41b6d966,
0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc22076c5, 0h406d72bf, 0h406d72bf, 0h41a58418,
0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1b6d966, 0hc0de6d7d, 0h419194b0, 0h4208695c,
0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1d2a716, 0h416b8e00, 0h416b8e00, 0h41f50507,
0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h40de6d7d,
0hc208695c, 0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc22076c5, 0h406d72bf, 0h41a58418, 0h406d72bf,
0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h419194b0,
0hc1b6d966, 0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1d2a716, 0h416b8e00, 0h41f50507, 0h416b8e00,
0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h40de6d7d,
0hc208695c, 0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc22076c5, 0h41a58418, 0h406d72bf, 0h406d72bf,
0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h419194b0,
0hc1b6d966, 0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1d2a716, 0h41f50507, 0h416b8e00, 0h416b8e00,
0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h40de6d7d,
0h41b6d966, 0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41a58418, 0hc22076c5, 0h406d72bf, 0h406d72bf,
0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h419194b0,
0h4208695c, 0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h41f50507, 0hc1d2a716, 0h416b8e00, 0h416b8e00,
0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee, 0h40b05c85,
0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee,
0hc21c1252, 0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d,
0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc235739c, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85,
0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee,
0hc1b8e69d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0h40024b8d,
0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0hbfc4b564, 0hc235739c, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85,
0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee,
0hc1b8e69d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0h40024b8d,
0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0hbfc4b564, 0hbfc4b564, 0hc235739c, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc19d18ee, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a,
0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a,
0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d, 0hc21c1252,
0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564, 0hc235739c,
0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc19194b0, 0hc208695c, 0h40de6d7d, 0h41b6d966,
0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h406d72bf, 0hc22076c5, 0h406d72bf, 0h41a58418,
0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc0de6d7d, 0hc1b6d966, 0h419194b0, 0h4208695c,
0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h416b8e00, 0hc1d2a716, 0h416b8e00, 0h41f50507,
0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc19194b0, 0h40de6d7d, 0hc208695c, 0h41b6d966,
0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h406d72bf, 0h406d72bf, 0hc22076c5, 0h41a58418,
0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc0de6d7d, 0h419194b0, 0hc1b6d966, 0h4208695c,
0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h416b8e00, 0h416b8e00, 0hc1d2a716, 0h41f50507,
0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h40de6d7d,
0h40de6d7d, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h406d72bf, 0hc22076c5, 0h41a58418, 0h406d72bf,
0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h419194b0,
0h419194b0, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h416b8e00, 0hc1d2a716, 0h41f50507, 0h416b8e00,
0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc19194b0, 0h40de6d7d, 0h41b6d966, 0hc208695c,
0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h406d72bf, 0h406d72bf, 0h41a58418, 0hc22076c5,
0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc0de6d7d, 0h419194b0, 0h4208695c, 0hc1b6d966,
0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h416b8e00, 0h416b8e00, 0h41f50507, 0hc1d2a716,
0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h40de6d7d,
0h40de6d7d, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h406d72bf, 0h41a58418, 0hc22076c5, 0h406d72bf,
0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h419194b0,
0h419194b0, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h416b8e00, 0h41f50507, 0hc1d2a716, 0h416b8e00,
0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc19194b0, 0h41b6d966, 0h40de6d7d, 0hc208695c,
0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h406d72bf, 0h41a58418, 0h406d72bf, 0hc22076c5,
0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc0de6d7d, 0h4208695c, 0h419194b0, 0hc1b6d966,
0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h416b8e00, 0h41f50507, 0h416b8e00, 0hc1d2a716,
0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h40de6d7d,
0h41b6d966, 0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41a58418, 0h406d72bf, 0hc22076c5, 0h406d72bf,
0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h419194b0,
0h4208695c, 0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h41f50507, 0h416b8e00, 0hc1d2a716, 0h416b8e00,
0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41b6d966, 0hc19194b0, 0h40de6d7d, 0hc208695c,
0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41a58418, 0h406d72bf, 0h406d72bf, 0hc22076c5,
0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h4208695c, 0hc0de6d7d, 0h419194b0, 0hc1b6d966,
0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h41f50507, 0h416b8e00, 0h416b8e00, 0hc1d2a716,
0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h4235739c, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d, 0h421c1252,
0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0b05c85, 0h419d18ee, 0h419d18ee, 0h420e2b7a,
0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h421c1252, 0h419d18ee, 0hc0b05c85, 0h419d18ee, 0h420e2b7a,
0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h418a0670, 0h418a0670, 0h418a0670, 0h4208ee18,
0h3fc4b564, 0h3fc4b564, 0h4235739c, 0h3fc4b564, 0hc0024b8d, 0h40024b8d, 0h421c1252, 0h41b8e69d,
0hc0024b8d, 0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0b05c85, 0h419d18ee, 0h420e2b7a, 0h419d18ee,
0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h419d18ee,
0h419d18ee, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h418a0670, 0h418a0670, 0h4208ee18, 0h418a0670,
0h3fc4b564, 0h4235739c, 0h3fc4b564, 0h3fc4b564, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h41b8e69d,
0hc0024b8d, 0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0b05c85, 0h420e2b7a, 0h419d18ee, 0h419d18ee,
0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h419d18ee,
0h419d18ee, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h418a0670, 0h4208ee18, 0h418a0670, 0h418a0670,
0h4235739c, 0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d,
0h421c1252, 0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h420e2b7a, 0hc0b05c85, 0h419d18ee, 0h419d18ee,
0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h419d18ee,
0h420e2b7a, 0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h4208ee18, 0h418a0670, 0h418a0670, 0h418a0670,
0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc208695c, 0hc19194b0, 0h40de6d7d, 0h41b6d966,
0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc22076c5, 0h406d72bf, 0h406d72bf, 0h41a58418,
0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1b6d966, 0hc0de6d7d, 0h419194b0, 0h4208695c,
0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1d2a716, 0h416b8e00, 0h416b8e00, 0h41f50507,
0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h40de6d7d,
0hc208695c, 0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc22076c5, 0h406d72bf, 0h41a58418, 0h406d72bf,
0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h419194b0,
0hc1b6d966, 0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1d2a716, 0h416b8e00, 0h41f50507, 0h416b8e00,
0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h40de6d7d,
0hc208695c, 0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc22076c5, 0h41a58418, 0h406d72bf, 0h406d72bf,
0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h419194b0,
0hc1b6d966, 0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1d2a716, 0h41f50507, 0h416b8e00, 0h416b8e00,
0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h40de6d7d,
0h41b6d966, 0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41a58418, 0hc22076c5, 0h406d72bf, 0h406d72bf,
0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h419194b0,
0h4208695c, 0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h41f50507, 0hc1d2a716, 0h416b8e00, 0h416b8e00,
0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee, 0h40b05c85,
0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee,
0hc21c1252, 0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d,
0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc235739c, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85,
0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee,
0hc1b8e69d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0h40024b8d,
0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0hbfc4b564, 0hc235739c, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85,
0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee,
0hc1b8e69d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0h40024b8d,
0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0hbfc4b564, 0hbfc4b564, 0hc235739c, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc19d18ee, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a,
0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a,
0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d, 0hc21c1252,
0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564, 0hc235739c,
0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc19194b0, 0hc208695c, 0h40de6d7d, 0h41b6d966,
0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h406d72bf, 0hc22076c5, 0h406d72bf, 0h41a58418,
0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc0de6d7d, 0hc1b6d966, 0h419194b0, 0h4208695c,
0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h416b8e00, 0hc1d2a716, 0h416b8e00, 0h41f50507,
0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc19194b0, 0h40de6d7d, 0hc208695c, 0h41b6d966,
0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h406d72bf, 0h406d72bf, 0hc22076c5, 0h41a58418,
0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc0de6d7d, 0h419194b0, 0hc1b6d966, 0h4208695c,
0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h416b8e00, 0h416b8e00, 0hc1d2a716, 0h41f50507,
0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h40de6d7d,
0h40de6d7d, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h406d72bf, 0hc22076c5, 0h41a58418, 0h406d72bf,
0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h419194b0,
0h419194b0, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h416b8e00, 0hc1d2a716, 0h41f50507, 0h416b8e00,
0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc19194b0, 0h40de6d7d, 0h41b6d966, 0hc208695c,
0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h406d72bf, 0h406d72bf, 0h41a58418, 0hc22076c5,
0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc0de6d7d, 0h419194b0, 0h4208695c, 0hc1b6d966,
0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h416b8e00, 0h416b8e00, 0h41f50507, 0hc1d2a716,
0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h40de6d7d,
0h40de6d7d, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h406d72bf, 0h41a58418, 0hc22076c5, 0h406d72bf,
0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h419194b0,
0h419194b0, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h416b8e00, 0h41f50507, 0hc1d2a716, 0h416b8e00,
0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc19194b0, 0h41b6d966, 0h40de6d7d, 0hc208695c,
0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h406d72bf, 0h41a58418, 0h406d72bf, 0hc22076c5,
0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc0de6d7d, 0h4208695c, 0h419194b0, 0hc1b6d966,
0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h416b8e00, 0h41f50507, 0h416b8e00, 0hc1d2a716,
0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h40de6d7d,
0h41b6d966, 0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41a58418, 0h406d72bf, 0hc22076c5, 0h406d72bf,
0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h419194b0,
0h4208695c, 0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h41f50507, 0h416b8e00, 0hc1d2a716, 0h416b8e00,
0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41b6d966, 0hc19194b0, 0h40de6d7d, 0hc208695c,
0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41a58418, 0h406d72bf, 0h406d72bf, 0hc22076c5,
0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h4208695c, 0hc0de6d7d, 0h419194b0, 0hc1b6d966,
0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h41f50507, 0h416b8e00, 0h416b8e00, 0hc1d2a716,
0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h4235739c, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d, 0h421c1252,
0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0b05c85, 0h419d18ee, 0h419d18ee, 0h420e2b7a,
0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h421c1252, 0h419d18ee, 0hc0b05c85, 0h419d18ee, 0h420e2b7a,
0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h418a0670, 0h418a0670, 0h418a0670, 0h4208ee18,
0h3fc4b564, 0h3fc4b564, 0h4235739c, 0h3fc4b564, 0hc0024b8d, 0h40024b8d, 0h421c1252, 0h41b8e69d,
0hc0024b8d, 0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0b05c85, 0h419d18ee, 0h420e2b7a, 0h419d18ee,
0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h419d18ee,
0h419d18ee, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h418a0670, 0h418a0670, 0h4208ee18, 0h418a0670,
0h3fc4b564, 0h4235739c, 0h3fc4b564, 0h3fc4b564, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h41b8e69d,
0hc0024b8d, 0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0b05c85, 0h420e2b7a, 0h419d18ee, 0h419d18ee,
0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h419d18ee,
0h419d18ee, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h418a0670, 0h4208ee18, 0h418a0670, 0h418a0670,
0h4235739c, 0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d,
0h421c1252, 0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h420e2b7a, 0hc0b05c85, 0h419d18ee, 0h419d18ee,
0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h419d18ee,
0h420e2b7a, 0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h4208ee18, 0h418a0670, 0h418a0670, 0h418a0670,
0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc208695c, 0hc19194b0, 0h40de6d7d, 0h41b6d966,
0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc22076c5, 0h406d72bf, 0h406d72bf, 0h41a58418,
0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1b6d966, 0hc0de6d7d, 0h419194b0, 0h4208695c,
0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1d2a716, 0h416b8e00, 0h416b8e00, 0h41f50507,
0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h40de6d7d,
0hc208695c, 0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc22076c5, 0h406d72bf, 0h41a58418, 0h406d72bf,
0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h419194b0,
0hc1b6d966, 0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1d2a716, 0h416b8e00, 0h41f50507, 0h416b8e00,
0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h40de6d7d,
0hc208695c, 0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc22076c5, 0h41a58418, 0h406d72bf, 0h406d72bf,
0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h419194b0,
0hc1b6d966, 0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1d2a716, 0h41f50507, 0h416b8e00, 0h416b8e00,
0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h40de6d7d,
0h41b6d966, 0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41a58418, 0hc22076c5, 0h406d72bf, 0h406d72bf,
0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h419194b0,
0h4208695c, 0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h41f50507, 0hc1d2a716, 0h416b8e00, 0h416b8e00,
0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee, 0h40b05c85,
0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee,
0hc21c1252, 0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d,
0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc235739c, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc18a0670, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85,
0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0hc19d18ee,
0hc1b8e69d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0h40024b8d,
0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0hbfc4b564, 0hc235739c, 0hbfc4b564, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc18a0670, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85,
0hc19d18ee, 0h40b05c85, 0hc20e2b7a, 0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0hc19d18ee,
0hc1b8e69d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0h40024b8d,
0h40024b8d, 0h40024b8d, 0hc21c1252, 0hc1b8e69d, 0hbfc4b564, 0hbfc4b564, 0hc235739c, 0hbfc4b564,
0hc18a0670, 0hc18a0670, 0hc18a0670, 0hc208ee18, 0hc19d18ee, 0hc19d18ee, 0h40b05c85, 0hc20e2b7a,
0hc19d18ee, 0h40b05c85, 0hc19d18ee, 0hc20e2b7a, 0h40b05c85, 0hc19d18ee, 0hc19d18ee, 0hc20e2b7a,
0hc1b8e69d, 0h40024b8d, 0h40024b8d, 0hc21c1252, 0h40024b8d, 0hc1b8e69d, 0h40024b8d, 0hc21c1252,
0h40024b8d, 0h40024b8d, 0hc1b8e69d, 0hc21c1252, 0hbfc4b564, 0hbfc4b564, 0hbfc4b564, 0hc235739c,
0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc19194b0, 0hc208695c, 0h40de6d7d, 0h41b6d966,
0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h406d72bf, 0hc22076c5, 0h406d72bf, 0h41a58418,
0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc0de6d7d, 0hc1b6d966, 0h419194b0, 0h4208695c,
0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h416b8e00, 0hc1d2a716, 0h416b8e00, 0h41f50507,
0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc19194b0, 0h40de6d7d, 0hc208695c, 0h41b6d966,
0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h406d72bf, 0h406d72bf, 0hc22076c5, 0h41a58418,
0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc0de6d7d, 0h419194b0, 0hc1b6d966, 0h4208695c,
0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h416b8e00, 0h416b8e00, 0hc1d2a716, 0h41f50507,
0hc16b8e00, 0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc19194b0, 0hc208695c, 0h41b6d966, 0h40de6d7d,
0h40de6d7d, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h406d72bf, 0hc22076c5, 0h41a58418, 0h406d72bf,
0hc06d72bf, 0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc0de6d7d, 0hc1b6d966, 0h4208695c, 0h419194b0,
0h419194b0, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h416b8e00, 0hc1d2a716, 0h41f50507, 0h416b8e00,
0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc19194b0, 0h40de6d7d, 0h41b6d966, 0hc208695c,
0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h406d72bf, 0h406d72bf, 0h41a58418, 0hc22076c5,
0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc0de6d7d, 0h419194b0, 0h4208695c, 0hc1b6d966,
0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h416b8e00, 0h416b8e00, 0h41f50507, 0hc1d2a716,
0hc16b8e00, 0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc19194b0, 0h41b6d966, 0hc208695c, 0h40de6d7d,
0h40de6d7d, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h406d72bf, 0h41a58418, 0hc22076c5, 0h406d72bf,
0hc06d72bf, 0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc0de6d7d, 0h4208695c, 0hc1b6d966, 0h419194b0,
0h419194b0, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h416b8e00, 0h41f50507, 0hc1d2a716, 0h416b8e00,
0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc19194b0, 0h41b6d966, 0h40de6d7d, 0hc208695c,
0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h406d72bf, 0h41a58418, 0h406d72bf, 0hc22076c5,
0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc0de6d7d, 0h4208695c, 0h419194b0, 0hc1b6d966,
0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h416b8e00, 0h41f50507, 0h416b8e00, 0hc1d2a716,
0h41d2a716, 0hc16b8e00, 0hc1f50507, 0hc16b8e00, 0h41b6d966, 0hc19194b0, 0hc208695c, 0h40de6d7d,
0h41b6d966, 0h40de6d7d, 0hc208695c, 0hc19194b0, 0h41a58418, 0h406d72bf, 0hc22076c5, 0h406d72bf,
0h422076c5, 0hc06d72bf, 0hc1a58418, 0hc06d72bf, 0h4208695c, 0hc0de6d7d, 0hc1b6d966, 0h419194b0,
0h4208695c, 0h419194b0, 0hc1b6d966, 0hc0de6d7d, 0h41f50507, 0h416b8e00, 0hc1d2a716, 0h416b8e00,
0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc1f50507, 0h41b6d966, 0hc19194b0, 0h40de6d7d, 0hc208695c,
0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc208695c, 0h41a58418, 0h406d72bf, 0h406d72bf, 0hc22076c5,
0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1a58418, 0h4208695c, 0hc0de6d7d, 0h419194b0, 0hc1b6d966,
0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1b6d966, 0h41f50507, 0h416b8e00, 0h416b8e00, 0hc1d2a716,
0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h4235739c, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d, 0h421c1252,
0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0b05c85, 0h419d18ee, 0h419d18ee, 0h420e2b7a,
0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h421c1252, 0h419d18ee, 0hc0b05c85, 0h419d18ee, 0h420e2b7a,
0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h418a0670, 0h418a0670, 0h418a0670, 0h4208ee18,
0h3fc4b564, 0h3fc4b564, 0h4235739c, 0h3fc4b564, 0hc0024b8d, 0h40024b8d, 0h421c1252, 0h41b8e69d,
0hc0024b8d, 0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0b05c85, 0h419d18ee, 0h420e2b7a, 0h419d18ee,
0h41b8e69d, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h419d18ee, 0hc0b05c85, 0h420e2b7a, 0h419d18ee,
0h419d18ee, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h418a0670, 0h418a0670, 0h4208ee18, 0h418a0670,
0h3fc4b564, 0h4235739c, 0h3fc4b564, 0h3fc4b564, 0hc0024b8d, 0h421c1252, 0hc0024b8d, 0h41b8e69d,
0hc0024b8d, 0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0b05c85, 0h420e2b7a, 0h419d18ee, 0h419d18ee,
0h41b8e69d, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h419d18ee, 0h420e2b7a, 0hc0b05c85, 0h419d18ee,
0h419d18ee, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h418a0670, 0h4208ee18, 0h418a0670, 0h418a0670,
0h4235739c, 0h3fc4b564, 0h3fc4b564, 0h3fc4b564, 0h421c1252, 0hc0024b8d, 0hc0024b8d, 0h41b8e69d,
0h421c1252, 0hc0024b8d, 0h41b8e69d, 0hc0024b8d, 0h420e2b7a, 0hc0b05c85, 0h419d18ee, 0h419d18ee,
0h421c1252, 0h41b8e69d, 0hc0024b8d, 0hc0024b8d, 0h420e2b7a, 0h419d18ee, 0hc0b05c85, 0h419d18ee,
0h420e2b7a, 0h419d18ee, 0h419d18ee, 0hc0b05c85, 0h4208ee18, 0h418a0670, 0h418a0670, 0h418a0670,
0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41d2a716, 0hc208695c, 0hc19194b0, 0h40de6d7d, 0h41b6d966,
0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41b6d966, 0hc22076c5, 0h406d72bf, 0h406d72bf, 0h41a58418,
0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h422076c5, 0hc1b6d966, 0hc0de6d7d, 0h419194b0, 0h4208695c,
0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h4208695c, 0hc1d2a716, 0h416b8e00, 0h416b8e00, 0h41f50507,
0hc1f50507, 0hc16b8e00, 0h41d2a716, 0hc16b8e00, 0hc208695c, 0hc19194b0, 0h41b6d966, 0h40de6d7d,
0hc208695c, 0h40de6d7d, 0h41b6d966, 0hc19194b0, 0hc22076c5, 0h406d72bf, 0h41a58418, 0h406d72bf,
0hc1a58418, 0hc06d72bf, 0h422076c5, 0hc06d72bf, 0hc1b6d966, 0hc0de6d7d, 0h4208695c, 0h419194b0,
0hc1b6d966, 0h419194b0, 0h4208695c, 0hc0de6d7d, 0hc1d2a716, 0h416b8e00, 0h41f50507, 0h416b8e00,
0hc1f50507, 0h41d2a716, 0hc16b8e00, 0hc16b8e00, 0hc208695c, 0h41b6d966, 0hc19194b0, 0h40de6d7d,
0hc208695c, 0h41b6d966, 0h40de6d7d, 0hc19194b0, 0hc22076c5, 0h41a58418, 0h406d72bf, 0h406d72bf,
0hc1a58418, 0h422076c5, 0hc06d72bf, 0hc06d72bf, 0hc1b6d966, 0h4208695c, 0hc0de6d7d, 0h419194b0,
0hc1b6d966, 0h4208695c, 0h419194b0, 0hc0de6d7d, 0hc1d2a716, 0h41f50507, 0h416b8e00, 0h416b8e00,
0h41d2a716, 0hc1f50507, 0hc16b8e00, 0hc16b8e00, 0h41b6d966, 0hc208695c, 0hc19194b0, 0h40de6d7d,
0h41b6d966, 0hc208695c, 0h40de6d7d, 0hc19194b0, 0h41a58418, 0hc22076c5, 0h406d72bf, 0h406d72bf,
0h422076c5, 0hc1a58418, 0hc06d72bf, 0hc06d72bf, 0h4208695c, 0hc1b6d966, 0hc0de6d7d, 0h419194b0,
0h4208695c, 0hc1b6d966, 0h419194b0, 0hc0de6d7d, 0h41f50507, 0hc1d2a716, 0h416b8e00, 0h416b8e00,
}
/*
2D Simplex noise base.
*/
_internal_noise_2d_unskewed_base :: proc(seed: i64, coord: Vec2) -> (value: f32) {
// Get base points and offsets.
base := [2]i64{fast_floor(coord.x), fast_floor(coord.y)}
i := [2]f32{f32(coord.x - f64(base.x)), f32(coord.y - f64(base.y))}
// Prime pre-multiplication for hash.
bp := base * [2]i64{PRIME_X, PRIME_Y}
// Unskew.
t := f32(i.x + i.y) * f32(UNSKEW_2D)
d0 := i + [2]f32{t, t}
// First vertex.
a0 := RSQUARED_2D - d0.x * d0.x - d0.y * d0.y
if a0 > 0 {
value = (a0 * a0) * (a0 * a0) * grad(seed, [2]i64{bp.x, bp.y}, d0)
}
// Second vertex.
a1 := f32(2 * (1 + 2 * UNSKEW_2D) * (1 / UNSKEW_2D + 2)) * t + f32(-2 * (1 + 2 * UNSKEW_2D) * (1 + 2 * UNSKEW_2D)) + a0
if a1 > 0 {
d1 := d0 - [2]f32{f32(1 + 2 * UNSKEW_2D), f32(1 + 2 * UNSKEW_2D)}
value += (a1 * a1) * (a1 * a1) * grad(seed, [2]i64{bp.x + PRIME_X, bp.y + PRIME_Y}, d1)
}
// Third vertex.
if d0.y > d0.x {
d2 := d0 - [2]f32{f32(UNSKEW_2D), f32(UNSKEW_2D + 1)}
a2 := RSQUARED_2D - d2.x * d2.x - d2.y * d2.y
if(a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, [2]i64{bp.x, bp.y + PRIME_Y}, d2)
}
} else {
d2 := d0 - [2]f32{f32(UNSKEW_2D + 1), f32(UNSKEW_2D)}
a2 := RSQUARED_2D - d2.x * d2.x - d2.y * d2.y
if(a2 > 0) {
value += (a2 * a2) * (a2 * a2) * grad(seed, [2]i64{bp.x + PRIME_X, bp.y}, d2)
}
}
return
}
/*
Generate overlapping cubic lattices for 3D OpenSimplex2 noise.
*/
_internal_noise_3d_unrotated_base :: proc(seed: i64, coord: Vec3) -> (value: f32) {
seed := seed
// Get base points and offsets.
// xr, yr, zr := coord.x, coord.y, coord.z
rb := [3]i64{fast_round(coord.x), fast_round(coord.y), fast_round(coord.z)}
ri := [3]f32{f32(coord.x - f64(rb.x)), f32(coord.y - f64(rb.y)), f32(coord.z - f64(rb.z))}
// -1 if positive, 1 if negative.
i_sign := [3]i64{i64(-1.0 - ri.x) | 1, i64(-1.0 - ri.y) | 1, i64(-1.0 - ri.z) | 1}
f_sign := [3]f32{f32(i_sign.x), f32(i_sign.y), f32(i_sign.z)}
// Compute absolute values, using the above as a shortcut. This was faster in my tests for some reason.
a0 := f_sign * -ri
// Prime pre-multiplication for hash.
rbp := rb * [3]i64{PRIME_X, PRIME_Y, PRIME_Z}
// Loop: Pick an edge on each lattice copy.
a := (RSQUARED_3D - ri.x * ri.x) - (ri.y * ri.y + ri.z * ri.z)
l := 0
for {
defer l += 1
// Closest point on cube.
if a > 0 {
a2 := a * a; a4 := a2 * a2
value += a4 * grad(seed, rbp, ri)
}
// Second-closest point.
if a0.x >= a0.y && a0.x >= a0.z {
b := a + a0.x + a0.x
if b > 1 {
b -= 1
b2 := b * b; b4 := b2 * b2
value += b4 * grad(seed, [3]i64{rbp.x - i_sign.x * PRIME_X, rbp.y, rbp.z}, [3]f32{ri.x + f_sign.x, ri.y, ri.z})
}
} else if a0.y > a0.x && a0.y >= a0.z {
b := a + a0.y + a0.y
if b > 1 {
b -= 1
b2 := b * b; b4 := b2 * b2
value += b4 * grad(seed, [3]i64{rbp.x, rbp.y - i_sign.y * PRIME_Y, rbp.z}, [3]f32{ri.x, ri.y + f_sign.y, ri.z})
}
} else {
b := a + a0.z + a0.z
if b > 1 {
b -= 1
b2 := b * b; b4 := b2 * b2
value += b4 * grad(seed, [3]i64{rbp.x, rbp.y, rbp.z - i_sign.z * PRIME_Z}, [3]f32{ri.x, ri.y, ri.z + f_sign.z})
}
}
// Break from loop if we're done, skipping updates below.
if l == 1 {
break
}
// Update absolute value.
a0 = 0.5 - a0
// Update relative coordinate.
ri = a0 * f_sign
// Update falloff.
a += (0.75 - a0.x) - (a0.y + a0.z)
// Update prime for hash.
rbp += [3]i64{i_sign.x >> 1, i_sign.y >> 1, i_sign.z >> 1} & {PRIME_X, PRIME_Y, PRIME_Z}
// Update the reverse sign indicators.
i_sign = -i_sign
f_sign = -f_sign
// And finally update the seed for the other lattice copy.
seed ~= SEED_FLIP_3D
}
return value
}
/*
4D OpenSimplex2 noise base.
*/
_internal_noise_4d_unskewed_base :: proc(seed: i64, coord: Vec4) -> (value: f32) {
seed := seed
// Get base points and offsets
base := [4]i64{fast_floor(coord.x), fast_floor(coord.y), fast_floor(coord.z), fast_floor(coord.w)}
si := [4]f32{f32(coord.x - f64(base.x)), f32(coord.y - f64(base.y)), f32(coord.z - f64(base.z)), f32(coord.w - f64(base.w))}
// Determine which lattice we can be confident has a contributing point its corresponding cell's base simplex.
// We only look at the spaces between the diagonal planes. This proved effective in all of my tests.
si_sum := (si.x + si.y) + (si.z + si.w)
starting_lattice := i64(si_sum * 1.25)
// Offset for seed based on first lattice copy.
seed += starting_lattice * SEED_OFFSET_4D
// Offset for lattice point relative positions (skewed)
starting_lattice_offset := f32(starting_lattice) * -LATTICE_STEP_4D
si += starting_lattice_offset
// Prep for vertex contributions.
ssi := (si_sum + starting_lattice_offset * 4) * UNSKEW_4D
// Prime pre-multiplication for hash.
svp := base * [4]i64{PRIME_X, PRIME_Y, PRIME_Z, PRIME_W}
// Five points to add, total, from five copies of the A4 lattice.
for i : i64 = 0; ; i += 1 {
// Next point is the closest vertex on the 4-simplex whose base vertex is the aforementioned vertex.
score := 1.0 + ssi * (-1.0 / UNSKEW_4D) // Seems slightly faster than 1.0-xsi-ysi-zsi-wsi
if si.x >= si.x && si.x >= si.z && si.x >= si.w && si.x >= score {
svp.x += PRIME_X
si.x -= 1
ssi -= UNSKEW_4D
}
else if si.y > si.x && si.y >= si.z && si.y >= si.w && si.y >= score {
svp.y += PRIME_Y
si.y -= 1
ssi -= UNSKEW_4D
}
else if si.z > si.x && si.z > si.y && si.z >= si.w && si.z >= score {
svp.z += PRIME_Z
si.z -= 1
ssi -= UNSKEW_4D
}
else if si.w > si.x && si.w > si.y && si.w > si.z && si.w >= score {
svp.w += PRIME_W
si.w -= 1
ssi -= UNSKEW_4D
}
// gradient contribution with falloff.
d := si + ssi
a := (d.x * d.x + d.y * d.y) + (d.z * d.z + d.w * d.w)
if a < RSQUARED_4D {
a -= RSQUARED_4D
a *= a; a4 := a * a
value += a4 * grad(seed, svp, d)
}
// Break from loop if we're done, skipping updates below.
if i == 4 {
break
}
// Update for next lattice copy shifted down by <-0.2, -0.2, -0.2, -0.2>.
si += LATTICE_STEP_4D
ssi += LATTICE_STEP_4D * 4 * UNSKEW_4D
seed -= SEED_OFFSET_4D
// Because we don't always start on the same lattice copy, there's a special reset case.
if i == starting_lattice {
svp -= {PRIME_X, PRIME_Y, PRIME_Z, PRIME_W}
seed += SEED_OFFSET_4D * 5
}
}
return
}
/*
Utility functions
*/
@(optimization_mode="speed")
grad_2d :: proc(seed: i64, svp: [2]i64, delta: [2]f32) -> (value: f32) {
hash := seed ~ svp.x ~ svp.y
hash *= HASH_MULTIPLIER
hash ~= hash >> (64 - N_GRADS_2D_EXPONENT + 1)
gi := hash & ((N_GRADS_2D - 1) << 1)
return GRADIENTS_2D[gi] * delta.x + GRADIENTS_2D[gi | 1] * delta.y
}
@(optimization_mode="speed")
grad_3d :: proc(seed: i64, rvp: [3]i64, delta: [3]f32) -> (value: f32) {
hash := (seed ~ rvp.x) ~ (rvp.y ~ rvp.z)
hash *= HASH_MULTIPLIER
hash ~= hash >> (64 - N_GRADS_3D_EXPONENT + 2)
gi := hash & ((N_GRADS_3D - 1) << 2)
return GRADIENTS_3D[gi] * delta.x + GRADIENTS_3D[gi | 1] * delta.y + GRADIENTS_3D[gi | 2] * delta.z
}
@(optimization_mode="speed")
grad_4d :: proc(seed: i64, svp: [4]i64, delta: [4]f32) -> (value: f32) {
hash := seed ~ (svp.x ~ svp.y) ~ (svp.z ~ svp.w)
hash *= HASH_MULTIPLIER
hash ~= hash >> (64 - N_GRADS_4D_EXPONENT + 2)
gi := hash & ((N_GRADS_4D - 1) << 2)
return (GRADIENTS_4D[gi] * delta.x + GRADIENTS_4D[gi | 1] * delta.y) + (GRADIENTS_4D[gi | 2] * delta.z + GRADIENTS_4D[gi | 3] * delta.w)
}
grad :: proc {grad_2d, grad_3d, grad_4d}
@(optimization_mode="speed")
fast_floor :: proc(x: f64) -> (floored: i64) {
xi := i64(x)
return x < f64(xi) ? xi - 1 : xi
}
@(optimization_mode="speed")
fast_round :: proc(x: f64) -> (rounded: i64) {
return x < 0 ? i64(x - 0.5) : i64(x + 0.5)
}