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authorNoahR02 <noahreppert95@protonmail.com>2022-02-08 06:16:10 -0500
committerNoahR02 <noahreppert95@protonmail.com>2022-02-08 06:16:10 -0500
commit817bc7434dfd0ebfeb1310c22741b9d66af67ac2 (patch)
treecead2609cdffec63b731ae1ed9adf1143cfa6b6f /core/math
parent3c2ed3bb69df24ba162e5f2ea8f61ee3f7fd8e2f (diff)
Ports OpenSimplex2 from https://github.com/KdotJPG/OpenSimplex2 to Odin. Adds tests for the noise procedures.
Diffstat (limited to 'core/math')
-rw-r--r--core/math/noise/internal.odin734
-rw-r--r--core/math/noise/opensimplex2.odin171
2 files changed, 905 insertions, 0 deletions
diff --git a/core/math/noise/internal.odin b/core/math/noise/internal.odin
new file mode 100644
index 000000000..5837f9235
--- /dev/null
+++ b/core/math/noise/internal.odin
@@ -0,0 +1,734 @@
+/*
+ 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)
+} \ No newline at end of file
diff --git a/core/math/noise/opensimplex2.odin b/core/math/noise/opensimplex2.odin
new file mode 100644
index 000000000..d90dafdf5
--- /dev/null
+++ b/core/math/noise/opensimplex2.odin
@@ -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)
+} \ No newline at end of file