path: root/core/math/noise/internal.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)
}