Ports OpenSimplex2 from https://github.com/KdotJPG/OpenSimplex2 to Odin. Adds tests for the noise procedures.

This commit is contained in:
NoahR02
2022-02-08 06:16:10 -05:00
parent 3c2ed3bb69
commit 817bc7434d
5 changed files with 1069 additions and 3 deletions

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/*
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)
}

View File

@@ -0,0 +1,171 @@
/*
OpenSimplex2 noise implementation.
Ported from https://github.com/KdotJPG/OpenSimplex2.
Copyright 2022 Yuki2 (https://github.com/NoahR02)
*/
package math_noise
/*
Input coordinate vectors
*/
Vec2 :: [2]f64
Vec3 :: [3]f64
Vec4 :: [4]f64
/*
Noise Evaluators
*/
/*
2D Simplex noise, standard lattice orientation.
*/
noise_2d :: proc(seed: i64, coord: Vec2) -> (value: f32) {
// Get points for A2* lattice
skew := SKEW_2D * (coord.x + coord.y)
skewed := coord + skew
return _internal_noise_2d_unskewed_base(seed, skewed)
}
/*
2D Simplex noise, with Y pointing down the main diagonal.
Might be better for a 2D sandbox style game, where Y is vertical.
Probably slightly less optimal for heightmaps or continent maps,
unless your map is centered around an equator. It's a subtle
difference, but the option is here to make it an easy choice.
*/
noise_2d_improve_x :: proc(seed: i64, coord: Vec2) -> (value: f32) {
// Skew transform and rotation baked into one.
xx := coord.x * ROOT_2_OVER_2
yy := coord.y * (ROOT_2_OVER_2 * (1 + 2 * SKEW_2D))
return _internal_noise_2d_unskewed_base(seed, Vec2{yy + xx, yy - xx})
}
/*
3D OpenSimplex2 noise, with better visual isotropy in (X, Y).
Recommended for 3D terrain and time-varied animations.
The Z coordinate should always be the "different" coordinate in whatever your use case is.
If Y is vertical in world coordinates, call `noise_3d_improve_xz(x, z, Y)` or use `noise_3d_xz_before_y`.
If Z is vertical in world coordinates, call `noise_3d_improve_xz(x, y, Z)`.
For a time varied animation, call `noise_3d_improve_xz(x, y, T)`.
*/
noise_3d_improve_xy :: proc(seed: i64, coord: Vec3) -> (value: f32) {
/*
Re-orient the cubic lattices without skewing, so Z points up the main lattice diagonal,
and the planes formed by XY are moved far out of alignment with the cube faces.
Orthonormal rotation. Not a skew transform.
*/
xy := coord.x + coord.y
s2 := xy * ROTATE_3D_ORTHOGONALIZER
zz := coord.z * ROOT_3_OVER_3
r := Vec3{coord.x + s2 + zz, coord.y + s2 + zz, xy * -ROOT_3_OVER_3 + zz}
// Evaluate both lattices to form a BCC lattice.
return _internal_noise_3d_unrotated_base(seed, r)
}
/*
3D OpenSimplex2 noise, with better visual isotropy in (X, Z).
Recommended for 3D terrain and time-varied animations.
The Y coordinate should always be the "different" coordinate in whatever your use case is.
If Y is vertical in world coordinates, call `noise_3d_improve_xz(x, Y, z)`.
If Z is vertical in world coordinates, call `noise_3d_improve_xz(x, Z, y)` or use `noise_3d_improve_xy`.
For a time varied animation, call `noise_3d_improve_xz(x, T, y)` or use `noise_3d_improve_xy`.
*/
noise_3d_improve_xz :: proc(seed: i64, coord: Vec3) -> (value: f32) {
/*
Re-orient the cubic lattices without skewing, so Y points up the main lattice diagonal,
and the planes formed by XZ are moved far out of alignment with the cube faces.
Orthonormal rotation. Not a skew transform.
*/
xz := coord.x + coord.z
s2 := xz * ROTATE_3D_ORTHOGONALIZER
yy := coord.y * ROOT_3_OVER_3
r := Vec3{coord.x + s2 + yy, xz * -ROOT_3_OVER_3 + yy, coord.z + s2 + yy}
// Evaluate both lattices to form a BCC lattice.
return _internal_noise_3d_unrotated_base(seed, r)
}
/*
3D OpenSimplex2 noise, fallback rotation option
Use `noise_3d_improve_xy` or `noise_3d_improve_xz` instead, wherever appropriate.
They have less diagonal bias. This function's best use is as a fallback.
*/
noise_3d_fallback :: proc(seed: i64, coord: Vec3) -> (value: f32) {
/*
Re-orient the cubic lattices via rotation, to produce a familiar look.
Orthonormal rotation. Not a skew transform.
*/
bias := FALLBACK_ROTATE_3D * (coord.x + coord.y + coord.z)
biased := bias - coord
// Evaluate both lattices to form a BCC lattice.
return _internal_noise_3d_unrotated_base(seed, biased)
}
/*
4D OpenSimplex2 noise, with XYZ oriented like `noise_3d_improve_xy`
and W for an extra degree of freedom. W repeats eventually.
Recommended for time-varied animations which texture a 3D object (W=time)
in a space where Z is vertical.
*/
noise_4d_improve_xyz_improve_xy :: proc(seed: i64, coord: Vec4) -> (value: f32) {
xy := coord.x + coord.y
s2 := xy * -0.21132486540518699998
zz := coord.z * 0.28867513459481294226
ww := coord.w * 0.2236067977499788
xr, yr : f64 = coord.x + (zz + ww + s2), coord.y + (zz + ww + s2)
zr : f64 = xy * -0.57735026918962599998 + (zz + ww)
wr : f64 = coord.z * -0.866025403784439 + ww
return _internal_noise_4d_unskewed_base(seed, Vec4{xr, yr, zr, wr})
}
/*
4D OpenSimplex2 noise, with XYZ oriented like `noise_3d_improve_xz`
and W for an extra degree of freedom. W repeats eventually.
Recommended for time-varied animations which texture a 3D object (W=time)
in a space where Y is vertical.
*/
noise_4d_improve_xyz_improve_xz :: proc(seed: i64, coord: Vec4) -> (value: f32) {
xz := coord.x + coord.z
s2 := xz * -0.21132486540518699998
yy := coord.y * 0.28867513459481294226
ww := coord.w * 0.2236067977499788
xr, zr : f64 = coord.x + (yy + ww + s2), coord.z + (yy + ww + s2)
yr := xz * -0.57735026918962599998 + (yy + ww)
wr := coord.y * -0.866025403784439 + ww
return _internal_noise_4d_unskewed_base(seed, Vec4{xr, yr, zr, wr})
}
/*
4D OpenSimplex2 noise, with XYZ oriented like `noise_3d_fallback`
and W for an extra degree of freedom. W repeats eventually.
Recommended for time-varied animations which texture a 3D object (W=time)
where there isn't a clear distinction between horizontal and vertical
*/
noise_4d_improve_xyz :: proc(seed: i64, coord: Vec4) -> (value: f32) {
xyz := coord.x + coord.y + coord.z
ww := coord.w * 0.2236067977499788
s2 := xyz * -0.16666666666666666 + ww
skewed := Vec4{coord.x + s2, coord.y + s2, coord.z + s2, -0.5 * xyz + ww}
return _internal_noise_4d_unskewed_base(seed, skewed)
}
/*
4D OpenSimplex2 noise, fallback lattice orientation.
*/
noise_4d_fallback :: proc(seed: i64, coord: Vec4) -> (value: f32) {
// Get points for A4 lattice
skew := f64(SKEW_4D) * (coord.x + coord.y + coord.z + coord.w)
return _internal_noise_4d_unskewed_base(seed, coord + skew)
}

View File

@@ -1,7 +1,7 @@
ODIN=../../odin
PYTHON=$(shell which python3)
all: download_test_assets image_test compress_test strings_test hash_test crypto_test
all: download_test_assets image_test compress_test strings_test hash_test crypto_test noise_test
download_test_assets:
$(PYTHON) download_assets.py
@@ -19,4 +19,7 @@ hash_test:
$(ODIN) run hash -out=test_hash -o:speed -no-bounds-check
crypto_test:
$(ODIN) run crypto -out=crypto_hash -o:speed -no-bounds-check
$(ODIN) run crypto -out=crypto_hash -o:speed -no-bounds-check
noise_test:
$(ODIN) run math/noise -out=test_noise

View File

@@ -35,4 +35,9 @@ echo ---
echo ---
echo Running core:encoding tests
echo ---
%PATH_TO_ODIN% run encoding %COMMON%
%PATH_TO_ODIN% run encoding %COMMON%
echo ---
echo Running core:math/noise tests
echo ---
%PATH_TO_ODIN% run math/noise %COMMON%

View File

@@ -0,0 +1,153 @@
package test_core_math_noise
import "core:testing"
import "core:math/noise"
import "core:fmt"
TEST_count := 0
TEST_fail := 0
V2 :: noise.Vec2
V3 :: noise.Vec3
V4 :: noise.Vec4
when ODIN_TEST {
expect :: testing.expect
log :: testing.log
} else {
expect :: proc(t: ^testing.T, condition: bool, message: string, loc := #caller_location) {
fmt.printf("[%v] ", loc)
TEST_count += 1
if !condition {
TEST_fail += 1
fmt.println(message)
return
}
fmt.println(" PASS")
}
log :: proc(t: ^testing.T, v: any, loc := #caller_location) {
fmt.printf("[%v] ", loc)
fmt.printf("log: %v\n", v)
}
}
main :: proc() {
t := testing.T{}
noise_test(&t)
fmt.printf("%v/%v tests successful.\n", TEST_count - TEST_fail, TEST_count)
}
Test_Vector :: struct {
seed: i64,
coord: union {V2, V3, V4},
expected: f32,
test_proc: union {
proc(_: i64, _: V2) -> f32,
proc(_: i64, _: V3) -> f32,
proc(_: i64, _: V4) -> f32,
},
}
SEED_1 :: 2324223232
SEED_2 :: 932466901
SEED_3 :: 9321
COORD_1 :: V4{ 242.0, 3433.0, 920.0, 222312.0}
COORD_2 :: V4{ 590.0, 9411.0, 5201.0, 942124256.0}
COORD_3 :: V4{12090.0, 19411.0, 81950901.0, 4224219.0}
Noise_Tests := []Test_Vector{
/*
`noise_2d` tests.
*/
{SEED_1, COORD_1.xy, 0.25010583, noise.noise_2d},
{SEED_2, COORD_2.xy, -0.92513955, noise.noise_2d},
{SEED_3, COORD_3.xy, 0.67327416, noise.noise_2d},
/*
`noise_2d_improve_x` tests.
*/
{SEED_1, COORD_1.xy, 0.17074019, noise.noise_2d_improve_x},
{SEED_2, COORD_2.xy, 0.72330487, noise.noise_2d_improve_x},
{SEED_3, COORD_3.xy, -0.032076947, noise.noise_2d_improve_x},
/*
`noise_3d_improve_xy` tests.
*/
{SEED_1, COORD_1.xyz, 0.14819577, noise.noise_3d_improve_xy},
{SEED_2, COORD_2.xyz, -0.065345764, noise.noise_3d_improve_xy},
{SEED_3, COORD_3.xyz, -0.37761918, noise.noise_3d_improve_xy},
/*
`noise_3d_improve_xz` tests.
*/
{SEED_1, COORD_1.xyz, -0.50075006, noise.noise_3d_improve_xz},
{SEED_2, COORD_2.xyz, -0.36039603, noise.noise_3d_improve_xz},
{SEED_3, COORD_3.xyz, -0.3479203, noise.noise_3d_improve_xz},
/*
`noise_3d_fallback` tests.
*/
{SEED_1, COORD_1.xyz, 0.6557345, noise.noise_3d_fallback},
{SEED_2, COORD_2.xyz, 0.55452216, noise.noise_3d_fallback},
{SEED_3, COORD_3.xyz, -0.26408964, noise.noise_3d_fallback},
/*
`noise_3d_fallback` tests.
*/
{SEED_1, COORD_1.xyz, 0.6557345, noise.noise_3d_fallback},
{SEED_2, COORD_2.xyz, 0.55452216, noise.noise_3d_fallback},
{SEED_3, COORD_3.xyz, -0.26408964, noise.noise_3d_fallback},
/*
`noise_4d_improve_xyz_improve_xy` tests.
*/
{SEED_1, COORD_1, 0.44929826, noise.noise_4d_improve_xyz_improve_xy},
{SEED_2, COORD_2, -0.13270882, noise.noise_4d_improve_xyz_improve_xy},
{SEED_3, COORD_3, 0.10298563, noise.noise_4d_improve_xyz_improve_xy},
/*
`noise_4d_improve_xyz_improve_xz` tests.
*/
{SEED_1, COORD_1, -0.078514606, noise.noise_4d_improve_xyz_improve_xz},
{SEED_2, COORD_2, -0.032157656, noise.noise_4d_improve_xyz_improve_xz},
{SEED_3, COORD_3, -0.38607058, noise.noise_4d_improve_xyz_improve_xz},
/*
`noise_4d_improve_xyz` tests.
*/
{SEED_1, COORD_1, -0.4442258, noise.noise_4d_improve_xyz},
{SEED_2, COORD_2, 0.36822623, noise.noise_4d_improve_xyz},
{SEED_3, COORD_3, 0.22628775, noise.noise_4d_improve_xyz},
/*
`noise_4d_fallback` tests.
*/
{SEED_1, COORD_1, -0.14233987, noise.noise_4d_fallback},
{SEED_2, COORD_2, 0.1354035, noise.noise_4d_fallback},
{SEED_3, COORD_3, 0.14565045, noise.noise_4d_fallback},
// TODO: Output according to C# - Figure out which of these two is right (and why).
// {SEED_1, COORD_1, -0.14233987, noise.noise_4d_fallback},
// {SEED_2, COORD_2, 0.1354035, noise.noise_4d_fallback},
// {SEED_3, COORD_3, 0.14565045, noise.noise_4d_fallback},
}
noise_test :: proc(t: ^testing.T) {
for test in Noise_Tests {
output: f32
switch coord in test.coord {
case V2:
output = test.test_proc.(proc(_: i64, _: V2) -> f32)(test.seed, test.coord.(V2))
case V3:
output = test.test_proc.(proc(_: i64, _: V3) -> f32)(test.seed, test.coord.(V3))
case V4:
output = test.test_proc.(proc(_: i64, _: V4) -> f32)(test.seed, test.coord.(V4))
}
error := fmt.tprintf("Seed %v, Coord: %v, Expected: %3.8f. Got %3.8f", test.seed, test.coord, test.expected, output)
expect(t, test.expected == output, error)
}
}