/* 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, 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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) }