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authorgingerBill <gingerBill@users.noreply.github.com>2024-01-29 16:18:38 +0000
committerGitHub <noreply@github.com>2024-01-29 16:18:38 +0000
commitf588593ff15fa13e89bd869a52b2ff9bf9d91341 (patch)
tree8f2c0a32259c405c53396ead12b1c8f3f5c261d0 /core/math
parenta78f062499c7f0112558872a500904e6fbc6761b (diff)
parenta626adac8e8e0ca0506401cf3376727ad801091c (diff)
Merge pull request #3147 from odin-lang/base-work
`base` library collection work
Diffstat (limited to 'core/math')
-rw-r--r--core/math/big/common.odin2
-rw-r--r--core/math/big/helpers.odin2
-rw-r--r--core/math/big/internal.odin4
-rw-r--r--core/math/big/private.odin2
-rw-r--r--core/math/big/public.odin2
-rw-r--r--core/math/big/radix.odin2
-rw-r--r--core/math/big/rat.odin4
-rw-r--r--core/math/big/tune.odin2
-rw-r--r--core/math/bits/bits.odin2
-rw-r--r--core/math/cmplx/cmplx.odin2
-rw-r--r--core/math/cmplx/cmplx_invtrig.odin2
-rw-r--r--core/math/ease/ease.odin2
-rw-r--r--core/math/fixed/fixed.odin2
-rw-r--r--core/math/linalg/extended.odin2
-rw-r--r--core/math/linalg/general.odin279
-rw-r--r--core/math/linalg/glsl/linalg_glsl.odin300
-rw-r--r--core/math/linalg/hlsl/linalg_hlsl.odin293
-rw-r--r--core/math/linalg/specific.odin14
-rw-r--r--core/math/math.odin4
-rw-r--r--core/math/math_basic.odin2
-rw-r--r--core/math/math_basic_js.odin2
-rw-r--r--core/math/rand/rand.odin2
22 files changed, 855 insertions, 73 deletions
diff --git a/core/math/big/common.odin b/core/math/big/common.odin
index 74a641d83..fabf39520 100644
--- a/core/math/big/common.odin
+++ b/core/math/big/common.odin
@@ -6,7 +6,7 @@
package math_big
-import "core:intrinsics"
+import "base:intrinsics"
/*
TODO: Make the tunables runtime adjustable where practical.
diff --git a/core/math/big/helpers.odin b/core/math/big/helpers.odin
index a4313a244..8ab19e3e7 100644
--- a/core/math/big/helpers.odin
+++ b/core/math/big/helpers.odin
@@ -6,7 +6,7 @@
package math_big
-import "core:intrinsics"
+import "base:intrinsics"
import rnd "core:math/rand"
/*
diff --git a/core/math/big/internal.odin b/core/math/big/internal.odin
index ca8dbf4c5..829cbf0e2 100644
--- a/core/math/big/internal.odin
+++ b/core/math/big/internal.odin
@@ -28,9 +28,9 @@
package math_big
import "core:mem"
-import "core:intrinsics"
+import "base:intrinsics"
import rnd "core:math/rand"
-import "core:builtin"
+import "base:builtin"
/*
Low-level addition, unsigned. Handbook of Applied Cryptography, algorithm 14.7.
diff --git a/core/math/big/private.odin b/core/math/big/private.odin
index d41e66343..d045b4239 100644
--- a/core/math/big/private.odin
+++ b/core/math/big/private.odin
@@ -19,7 +19,7 @@
package math_big
-import "core:intrinsics"
+import "base:intrinsics"
import "core:mem"
/*
diff --git a/core/math/big/public.odin b/core/math/big/public.odin
index 3227d7bc4..070c45283 100644
--- a/core/math/big/public.odin
+++ b/core/math/big/public.odin
@@ -12,7 +12,7 @@
package math_big
-import "core:intrinsics"
+import "base:intrinsics"
/*
===========================
diff --git a/core/math/big/radix.odin b/core/math/big/radix.odin
index d15ce0e98..8d8ea734e 100644
--- a/core/math/big/radix.odin
+++ b/core/math/big/radix.odin
@@ -16,7 +16,7 @@
package math_big
-import "core:intrinsics"
+import "base:intrinsics"
import "core:mem"
import "core:os"
diff --git a/core/math/big/rat.odin b/core/math/big/rat.odin
index 35618affb..e0e58b80f 100644
--- a/core/math/big/rat.odin
+++ b/core/math/big/rat.odin
@@ -1,7 +1,7 @@
package math_big
-import "core:builtin"
-import "core:intrinsics"
+import "base:builtin"
+import "base:intrinsics"
import "core:math"
Rat :: struct {
diff --git a/core/math/big/tune.odin b/core/math/big/tune.odin
index ec1ef9a5b..5938dafde 100644
--- a/core/math/big/tune.odin
+++ b/core/math/big/tune.odin
@@ -11,7 +11,7 @@
package math_big
import "core:time"
-import "core:runtime"
+import "base:runtime"
print_value :: proc(name: string, value: i64) {
runtime.print_string("\t")
diff --git a/core/math/bits/bits.odin b/core/math/bits/bits.odin
index 959b5536f..154b5a142 100644
--- a/core/math/bits/bits.odin
+++ b/core/math/bits/bits.odin
@@ -1,6 +1,6 @@
package math_bits
-import "core:intrinsics"
+import "base:intrinsics"
U8_MIN :: 0
U16_MIN :: 0
diff --git a/core/math/cmplx/cmplx.odin b/core/math/cmplx/cmplx.odin
index c029be30c..4625f83c6 100644
--- a/core/math/cmplx/cmplx.odin
+++ b/core/math/cmplx/cmplx.odin
@@ -1,6 +1,6 @@
package math_cmplx
-import "core:builtin"
+import "base:builtin"
import "core:math"
// The original C code, the long comment, and the constants
diff --git a/core/math/cmplx/cmplx_invtrig.odin b/core/math/cmplx/cmplx_invtrig.odin
index a746a370f..b84f0ac9c 100644
--- a/core/math/cmplx/cmplx_invtrig.odin
+++ b/core/math/cmplx/cmplx_invtrig.odin
@@ -1,6 +1,6 @@
package math_cmplx
-import "core:builtin"
+import "base:builtin"
import "core:math"
// The original C code, the long comment, and the constants
diff --git a/core/math/ease/ease.odin b/core/math/ease/ease.odin
index 0e6569bca..5ed0dd56a 100644
--- a/core/math/ease/ease.odin
+++ b/core/math/ease/ease.odin
@@ -2,7 +2,7 @@
package ease
import "core:math"
-import "core:intrinsics"
+import "base:intrinsics"
import "core:time"
@(private) PI_2 :: math.PI / 2
diff --git a/core/math/fixed/fixed.odin b/core/math/fixed/fixed.odin
index d347e9c11..b8000a5c6 100644
--- a/core/math/fixed/fixed.odin
+++ b/core/math/fixed/fixed.odin
@@ -2,7 +2,7 @@ package math_fixed
import "core:math"
import "core:strconv"
-import "core:intrinsics"
+import "base:intrinsics"
_, _, _ :: intrinsics, strconv, math
Fixed :: struct($Backing: typeid, $Fraction_Width: uint)
diff --git a/core/math/linalg/extended.odin b/core/math/linalg/extended.odin
index b6e05a2c2..eee339245 100644
--- a/core/math/linalg/extended.odin
+++ b/core/math/linalg/extended.odin
@@ -1,6 +1,6 @@
package linalg
-import "core:builtin"
+import "base:builtin"
import "core:math"
@(require_results)
diff --git a/core/math/linalg/general.odin b/core/math/linalg/general.odin
index 60185d64d..24bc4c7b3 100644
--- a/core/math/linalg/general.odin
+++ b/core/math/linalg/general.odin
@@ -1,8 +1,8 @@
package linalg
import "core:math"
-import "core:builtin"
-import "core:intrinsics"
+import "base:builtin"
+import "base:intrinsics"
// Generic
@@ -66,7 +66,7 @@ quaternion256_dot :: proc "contextless" (a, b: $T/quaternion256) -> (c: f64) {
dot :: proc{scalar_dot, vector_dot, quaternion64_dot, quaternion128_dot, quaternion256_dot}
inner_product :: dot
-outer_product :: builtin.outer_product
+outer_product :: intrinsics.outer_product
@(require_results)
quaternion_inverse :: proc "contextless" (q: $Q) -> Q where IS_QUATERNION(Q) {
@@ -179,8 +179,7 @@ identity :: proc "contextless" ($T: typeid/[$N][N]$E) -> (m: T) #no_bounds_check
return m
}
-trace :: builtin.matrix_trace
-transpose :: builtin.transpose
+transpose :: intrinsics.transpose
@(require_results)
matrix_mul :: proc "contextless" (a, b: $M/matrix[$N, N]$E) -> (c: M)
@@ -355,3 +354,273 @@ matrix_cast :: proc "contextless" (v: $A/matrix[$M, $N]$T, $Elem_Type: typeid) -
@(require_results) to_quaternion64 :: #force_inline proc(v: $A/[$N]$T) -> [N]quaternion64 { return array_cast(v, quaternion64) }
@(require_results) to_quaternion128 :: #force_inline proc(v: $A/[$N]$T) -> [N]quaternion128 { return array_cast(v, quaternion128) }
@(require_results) to_quaternion256 :: #force_inline proc(v: $A/[$N]$T) -> [N]quaternion256 { return array_cast(v, quaternion256) }
+
+
+hadamard_product :: intrinsics.hadamard_product
+matrix_flatten :: intrinsics.matrix_flatten
+
+
+determinant :: proc{
+ matrix1x1_determinant,
+ matrix2x2_determinant,
+ matrix3x3_determinant,
+ matrix4x4_determinant,
+}
+
+adjugate :: proc{
+ matrix1x1_adjugate,
+ matrix2x2_adjugate,
+ matrix3x3_adjugate,
+ matrix4x4_adjugate,
+}
+
+inverse_transpose :: proc{
+ matrix1x1_inverse_transpose,
+ matrix2x2_inverse_transpose,
+ matrix3x3_inverse_transpose,
+ matrix4x4_inverse_transpose,
+}
+
+
+inverse :: proc{
+ matrix1x1_inverse,
+ matrix2x2_inverse,
+ matrix3x3_inverse,
+ matrix4x4_inverse,
+}
+
+@(require_results)
+hermitian_adjoint :: proc "contextless" (m: $M/matrix[$N, N]$T) -> M where intrinsics.type_is_complex(T), N >= 1 {
+ return conj(transpose(m))
+}
+
+@(require_results)
+trace :: proc "contextless" (m: $M/matrix[$N, N]$T) -> (trace: T) {
+ for i in 0..<N {
+ trace += m[i, i]
+ }
+ return
+}
+
+@(require_results)
+matrix_minor :: proc "contextless" (m: $M/matrix[$N, N]$T, #any_int row, column: int) -> (minor: T) where N > 1 {
+ K :: int(N-1)
+ cut_down: matrix[K, K]T
+ for col_idx in 0..<K {
+ j := col_idx + int(col_idx >= column)
+ for row_idx in 0..<K {
+ i := row_idx + int(row_idx >= row)
+ cut_down[row_idx, col_idx] = m[i, j]
+ }
+ }
+ return determinant(cut_down)
+}
+
+
+
+@(require_results)
+matrix1x1_determinant :: proc "contextless" (m: $M/matrix[1, 1]$T) -> (det: T) {
+ return m[0, 0]
+}
+
+@(require_results)
+matrix2x2_determinant :: proc "contextless" (m: $M/matrix[2, 2]$T) -> (det: T) {
+ return m[0, 0]*m[1, 1] - m[0, 1]*m[1, 0]
+}
+@(require_results)
+matrix3x3_determinant :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (det: T) {
+ a := +m[0, 0] * (m[1, 1] * m[2, 2] - m[1, 2] * m[2, 1])
+ b := -m[0, 1] * (m[1, 0] * m[2, 2] - m[1, 2] * m[2, 0])
+ c := +m[0, 2] * (m[1, 0] * m[2, 1] - m[1, 1] * m[2, 0])
+ return a + b + c
+}
+@(require_results)
+matrix4x4_determinant :: proc "contextless" (m: $M/matrix[4, 4]$T) -> (det: T) {
+ a := adjugate(m)
+ #no_bounds_check for i in 0..<4 {
+ det += m[0, i] * a[0, i]
+ }
+ return
+}
+
+
+
+
+@(require_results)
+matrix1x1_adjugate :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y = x
+ return
+}
+
+@(require_results)
+matrix2x2_adjugate :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ y[0, 0] = +x[1, 1]
+ y[0, 1] = -x[1, 0]
+ y[1, 0] = -x[0, 1]
+ y[1, 1] = +x[0, 0]
+ return
+}
+
+@(require_results)
+matrix3x3_adjugate :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (y: M) {
+ y[0, 0] = +(m[1, 1] * m[2, 2] - m[2, 1] * m[1, 2])
+ y[0, 1] = -(m[1, 0] * m[2, 2] - m[2, 0] * m[1, 2])
+ y[0, 2] = +(m[1, 0] * m[2, 1] - m[2, 0] * m[1, 1])
+ y[1, 0] = -(m[0, 1] * m[2, 2] - m[2, 1] * m[0, 2])
+ y[1, 1] = +(m[0, 0] * m[2, 2] - m[2, 0] * m[0, 2])
+ y[1, 2] = -(m[0, 0] * m[2, 1] - m[2, 0] * m[0, 1])
+ y[2, 0] = +(m[0, 1] * m[1, 2] - m[1, 1] * m[0, 2])
+ y[2, 1] = -(m[0, 0] * m[1, 2] - m[1, 0] * m[0, 2])
+ y[2, 2] = +(m[0, 0] * m[1, 1] - m[1, 0] * m[0, 1])
+ return
+}
+
+
+@(require_results)
+matrix4x4_adjugate :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ sign: T = 1 if (i + j) % 2 == 0 else -1
+ y[i, j] = sign * matrix_minor(x, i, j)
+ }
+ }
+ return
+}
+
+@(require_results)
+matrix1x1_inverse_transpose :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+matrix2x2_inverse_transpose :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[1, 0] = -x[0, 1] / d
+ y[0, 1] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[1, 0] = -x[0, 1] * id
+ y[0, 1] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+matrix3x3_inverse_transpose :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+matrix4x4_inverse_transpose :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+matrix1x1_inverse :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+matrix2x2_inverse :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[0, 1] = -x[0, 1] / d
+ y[1, 0] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[0, 1] = -x[0, 1] * id
+ y[1, 0] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+matrix3x3_inverse :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+matrix4x4_inverse :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
diff --git a/core/math/linalg/glsl/linalg_glsl.odin b/core/math/linalg/glsl/linalg_glsl.odin
index 0d91ad4a3..bda1f1723 100644
--- a/core/math/linalg/glsl/linalg_glsl.odin
+++ b/core/math/linalg/glsl/linalg_glsl.odin
@@ -1,7 +1,8 @@
// core:math/linalg/glsl implements a GLSL-like mathematics library plus numerous other utility procedures
package math_linalg_glsl
-import "core:builtin"
+import "base:builtin"
+import "base:intrinsics"
TAU :: 6.28318530717958647692528676655900576
PI :: 3.14159265358979323846264338327950288
@@ -1838,30 +1839,281 @@ dquatMulDvec3 :: proc "c" (q: dquat, v: dvec3) -> dvec3 {
-@(require_results) inverse_mat2 :: proc "c" (m: mat2) -> mat2 { return builtin.inverse(m) }
-@(require_results) inverse_mat3 :: proc "c" (m: mat3) -> mat3 { return builtin.inverse(m) }
-@(require_results) inverse_mat4 :: proc "c" (m: mat4) -> mat4 { return builtin.inverse(m) }
-@(require_results) inverse_dmat2 :: proc "c" (m: dmat2) -> dmat2 { return builtin.inverse(m) }
-@(require_results) inverse_dmat3 :: proc "c" (m: dmat3) -> dmat3 { return builtin.inverse(m) }
-@(require_results) inverse_dmat4 :: proc "c" (m: dmat4) -> dmat4 { return builtin.inverse(m) }
+@(require_results) inverse_mat2 :: proc "c" (m: mat2) -> mat2 { return inverse_matrix2x2(m) }
+@(require_results) inverse_mat3 :: proc "c" (m: mat3) -> mat3 { return inverse_matrix3x3(m) }
+@(require_results) inverse_mat4 :: proc "c" (m: mat4) -> mat4 { return inverse_matrix4x4(m) }
+@(require_results) inverse_dmat2 :: proc "c" (m: dmat2) -> dmat2 { return inverse_matrix2x2(m) }
+@(require_results) inverse_dmat3 :: proc "c" (m: dmat3) -> dmat3 { return inverse_matrix3x3(m) }
+@(require_results) inverse_dmat4 :: proc "c" (m: dmat4) -> dmat4 { return inverse_matrix4x4(m) }
@(require_results) inverse_quat :: proc "c" (q: quat) -> quat { return 1/q }
@(require_results) inverse_dquat :: proc "c" (q: dquat) -> dquat { return 1/q }
+
+transpose :: intrinsics.transpose
+
+
+determinant :: proc{
+ determinant_matrix1x1,
+ determinant_matrix2x2,
+ determinant_matrix3x3,
+ determinant_matrix4x4,
+}
+
+adjugate :: proc{
+ adjugate_matrix1x1,
+ adjugate_matrix2x2,
+ adjugate_matrix3x3,
+ adjugate_matrix4x4,
+}
+
+inverse_transpose :: proc{
+ inverse_transpose_matrix1x1,
+ inverse_transpose_matrix2x2,
+ inverse_transpose_matrix3x3,
+ inverse_transpose_matrix4x4,
+}
+
+
inverse :: proc{
- inverse_mat2,
- inverse_mat3,
- inverse_mat4,
- inverse_dmat2,
- inverse_dmat3,
- inverse_dmat4,
- inverse_quat,
- inverse_dquat,
-}
-
-transpose :: builtin.transpose
-inverse_transpose :: builtin.inverse_transpose
-adjugate :: builtin.adjugate
-hermitian_adjoint :: builtin.hermitian_adjoint
-minor :: builtin.matrix_minor
-determinant :: builtin.determinant
-trace :: builtin.matrix_trace \ No newline at end of file
+ inverse_matrix1x1,
+ inverse_matrix2x2,
+ inverse_matrix3x3,
+ inverse_matrix4x4,
+}
+
+@(require_results)
+hermitian_adjoint :: proc "contextless" (m: $M/matrix[$N, N]$T) -> M where intrinsics.type_is_complex(T), N >= 1 {
+ return conj(transpose(m))
+}
+
+@(require_results)
+trace :: proc "contextless" (m: $M/matrix[$N, N]$T) -> (trace: T) {
+ for i in 0..<N {
+ trace += m[i, i]
+ }
+ return
+}
+
+@(require_results)
+matrix_minor :: proc "contextless" (m: $M/matrix[$N, N]$T, #any_int row, column: int) -> (minor: T) where N > 1 {
+ K :: int(N-1)
+ cut_down: matrix[K, K]T
+ for col_idx in 0..<K {
+ j := col_idx + int(col_idx >= column)
+ for row_idx in 0..<K {
+ i := row_idx + int(row_idx >= row)
+ cut_down[row_idx, col_idx] = m[i, j]
+ }
+ }
+ return determinant(cut_down)
+}
+
+
+
+@(require_results)
+determinant_matrix1x1 :: proc "contextless" (m: $M/matrix[1, 1]$T) -> (det: T) {
+ return m[0, 0]
+}
+
+@(require_results)
+determinant_matrix2x2 :: proc "contextless" (m: $M/matrix[2, 2]$T) -> (det: T) {
+ return m[0, 0]*m[1, 1] - m[0, 1]*m[1, 0]
+}
+@(require_results)
+determinant_matrix3x3 :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (det: T) {
+ a := +m[0, 0] * (m[1, 1] * m[2, 2] - m[1, 2] * m[2, 1])
+ b := -m[0, 1] * (m[1, 0] * m[2, 2] - m[1, 2] * m[2, 0])
+ c := +m[0, 2] * (m[1, 0] * m[2, 1] - m[1, 1] * m[2, 0])
+ return a + b + c
+}
+@(require_results)
+determinant_matrix4x4 :: proc "contextless" (m: $M/matrix[4, 4]$T) -> (det: T) {
+ a := adjugate(m)
+ #no_bounds_check for i in 0..<4 {
+ det += m[0, i] * a[0, i]
+ }
+ return
+}
+
+
+
+
+@(require_results)
+adjugate_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y = x
+ return
+}
+
+@(require_results)
+adjugate_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ y[0, 0] = +x[1, 1]
+ y[0, 1] = -x[1, 0]
+ y[1, 0] = -x[0, 1]
+ y[1, 1] = +x[0, 0]
+ return
+}
+
+@(require_results)
+adjugate_matrix3x3 :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (y: M) {
+ y[0, 0] = +(m[1, 1] * m[2, 2] - m[2, 1] * m[1, 2])
+ y[0, 1] = -(m[1, 0] * m[2, 2] - m[2, 0] * m[1, 2])
+ y[0, 2] = +(m[1, 0] * m[2, 1] - m[2, 0] * m[1, 1])
+ y[1, 0] = -(m[0, 1] * m[2, 2] - m[2, 1] * m[0, 2])
+ y[1, 1] = +(m[0, 0] * m[2, 2] - m[2, 0] * m[0, 2])
+ y[1, 2] = -(m[0, 0] * m[2, 1] - m[2, 0] * m[0, 1])
+ y[2, 0] = +(m[0, 1] * m[1, 2] - m[1, 1] * m[0, 2])
+ y[2, 1] = -(m[0, 0] * m[1, 2] - m[1, 0] * m[0, 2])
+ y[2, 2] = +(m[0, 0] * m[1, 1] - m[1, 0] * m[0, 1])
+ return
+}
+
+
+@(require_results)
+adjugate_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ sign: T = 1 if (i + j) % 2 == 0 else -1
+ y[i, j] = sign * matrix_minor(x, i, j)
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[1, 0] = -x[0, 1] / d
+ y[0, 1] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[1, 0] = -x[0, 1] * id
+ y[0, 1] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix3x3 :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+inverse_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[0, 1] = -x[0, 1] / d
+ y[1, 0] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[0, 1] = -x[0, 1] * id
+ y[1, 0] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix3x3 :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
+
diff --git a/core/math/linalg/hlsl/linalg_hlsl.odin b/core/math/linalg/hlsl/linalg_hlsl.odin
index 351aa7ea3..f5e8bf147 100644
--- a/core/math/linalg/hlsl/linalg_hlsl.odin
+++ b/core/math/linalg/hlsl/linalg_hlsl.odin
@@ -1,7 +1,8 @@
// core:math/linalg/hlsl implements a HLSL-like mathematics library plus numerous other utility procedures
package math_linalg_hlsl
-import "core:builtin"
+import "base:builtin"
+import "base:intrinsics"
TAU :: 6.28318530717958647692528676655900576
PI :: 3.14159265358979323846264338327950288
@@ -1471,14 +1472,14 @@ not :: proc{
-@(require_results) inverse_float1x1 :: proc "c" (m: float1x1) -> float1x1 { return builtin.inverse(m) }
-@(require_results) inverse_float2x2 :: proc "c" (m: float2x2) -> float2x2 { return builtin.inverse(m) }
-@(require_results) inverse_float3x3 :: proc "c" (m: float3x3) -> float3x3 { return builtin.inverse(m) }
-@(require_results) inverse_float4x4 :: proc "c" (m: float4x4) -> float4x4 { return builtin.inverse(m) }
-@(require_results) inverse_double1x1 :: proc "c" (m: double1x1) -> double1x1 { return builtin.inverse(m) }
-@(require_results) inverse_double2x2 :: proc "c" (m: double2x2) -> double2x2 { return builtin.inverse(m) }
-@(require_results) inverse_double3x3 :: proc "c" (m: double3x3) -> double3x3 { return builtin.inverse(m) }
-@(require_results) inverse_double4x4 :: proc "c" (m: double4x4) -> double4x4 { return builtin.inverse(m) }
+@(require_results) inverse_float1x1 :: proc "c" (m: float1x1) -> float1x1 { return inverse_matrix1x1(m) }
+@(require_results) inverse_float2x2 :: proc "c" (m: float2x2) -> float2x2 { return inverse_matrix2x2(m) }
+@(require_results) inverse_float3x3 :: proc "c" (m: float3x3) -> float3x3 { return inverse_matrix3x3(m) }
+@(require_results) inverse_float4x4 :: proc "c" (m: float4x4) -> float4x4 { return inverse_matrix4x4(m) }
+@(require_results) inverse_double1x1 :: proc "c" (m: double1x1) -> double1x1 { return inverse_matrix1x1(m) }
+@(require_results) inverse_double2x2 :: proc "c" (m: double2x2) -> double2x2 { return inverse_matrix2x2(m) }
+@(require_results) inverse_double3x3 :: proc "c" (m: double3x3) -> double3x3 { return inverse_matrix3x3(m) }
+@(require_results) inverse_double4x4 :: proc "c" (m: double4x4) -> double4x4 { return inverse_matrix4x4(m) }
inverse :: proc{
inverse_float1x1,
@@ -1489,15 +1490,275 @@ inverse :: proc{
inverse_double2x2,
inverse_double3x3,
inverse_double4x4,
+
+ inverse_matrix1x1,
+ inverse_matrix2x2,
+ inverse_matrix3x3,
+ inverse_matrix4x4,
+}
+
+transpose :: intrinsics.transpose
+
+
+determinant :: proc{
+ determinant_matrix1x1,
+ determinant_matrix2x2,
+ determinant_matrix3x3,
+ determinant_matrix4x4,
+}
+
+adjugate :: proc{
+ adjugate_matrix1x1,
+ adjugate_matrix2x2,
+ adjugate_matrix3x3,
+ adjugate_matrix4x4,
+}
+
+inverse_transpose :: proc{
+ inverse_transpose_matrix1x1,
+ inverse_transpose_matrix2x2,
+ inverse_transpose_matrix3x3,
+ inverse_transpose_matrix4x4,
+}
+
+@(require_results)
+hermitian_adjoint :: proc "contextless" (m: $M/matrix[$N, N]$T) -> M where intrinsics.type_is_complex(T), N >= 1 {
+ return conj(transpose(m))
+}
+
+@(require_results)
+trace :: proc "contextless" (m: $M/matrix[$N, N]$T) -> (trace: T) {
+ for i in 0..<N {
+ trace += m[i, i]
+ }
+ return
+}
+
+@(require_results)
+matrix_minor :: proc "contextless" (m: $M/matrix[$N, N]$T, #any_int row, column: int) -> (minor: T) where N > 1 {
+ K :: int(N-1)
+ cut_down: matrix[K, K]T
+ for col_idx in 0..<K {
+ j := col_idx + int(col_idx >= column)
+ for row_idx in 0..<K {
+ i := row_idx + int(row_idx >= row)
+ cut_down[row_idx, col_idx] = m[i, j]
+ }
+ }
+ return determinant(cut_down)
+}
+
+
+
+@(require_results)
+determinant_matrix1x1 :: proc "contextless" (m: $M/matrix[1, 1]$T) -> (det: T) {
+ return m[0, 0]
+}
+
+@(require_results)
+determinant_matrix2x2 :: proc "contextless" (m: $M/matrix[2, 2]$T) -> (det: T) {
+ return m[0, 0]*m[1, 1] - m[0, 1]*m[1, 0]
+}
+@(require_results)
+determinant_matrix3x3 :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (det: T) {
+ a := +m[0, 0] * (m[1, 1] * m[2, 2] - m[1, 2] * m[2, 1])
+ b := -m[0, 1] * (m[1, 0] * m[2, 2] - m[1, 2] * m[2, 0])
+ c := +m[0, 2] * (m[1, 0] * m[2, 1] - m[1, 1] * m[2, 0])
+ return a + b + c
+}
+@(require_results)
+determinant_matrix4x4 :: proc "contextless" (m: $M/matrix[4, 4]$T) -> (det: T) {
+ a := adjugate(m)
+ #no_bounds_check for i in 0..<4 {
+ det += m[0, i] * a[0, i]
+ }
+ return
+}
+
+
+
+
+@(require_results)
+adjugate_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y = x
+ return
+}
+
+@(require_results)
+adjugate_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ y[0, 0] = +x[1, 1]
+ y[0, 1] = -x[1, 0]
+ y[1, 0] = -x[0, 1]
+ y[1, 1] = +x[0, 0]
+ return
}
-transpose :: builtin.transpose
-inverse_transpose :: builtin.inverse_transpose
-adjugate :: builtin.adjugate
-hermitian_adjoint :: builtin.hermitian_adjoint
-minor :: builtin.matrix_minor
-determinant :: builtin.determinant
-trace :: builtin.matrix_trace
+@(require_results)
+adjugate_matrix3x3 :: proc "contextless" (m: $M/matrix[3, 3]$T) -> (y: M) {
+ y[0, 0] = +(m[1, 1] * m[2, 2] - m[2, 1] * m[1, 2])
+ y[0, 1] = -(m[1, 0] * m[2, 2] - m[2, 0] * m[1, 2])
+ y[0, 2] = +(m[1, 0] * m[2, 1] - m[2, 0] * m[1, 1])
+ y[1, 0] = -(m[0, 1] * m[2, 2] - m[2, 1] * m[0, 2])
+ y[1, 1] = +(m[0, 0] * m[2, 2] - m[2, 0] * m[0, 2])
+ y[1, 2] = -(m[0, 0] * m[2, 1] - m[2, 0] * m[0, 1])
+ y[2, 0] = +(m[0, 1] * m[1, 2] - m[1, 1] * m[0, 2])
+ y[2, 1] = -(m[0, 0] * m[1, 2] - m[1, 0] * m[0, 2])
+ y[2, 2] = +(m[0, 0] * m[1, 1] - m[1, 0] * m[0, 1])
+ return
+}
+
+
+@(require_results)
+adjugate_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ sign: T = 1 if (i + j) % 2 == 0 else -1
+ y[i, j] = sign * matrix_minor(x, i, j)
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[1, 0] = -x[0, 1] / d
+ y[0, 1] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[1, 0] = -x[0, 1] * id
+ y[0, 1] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix3x3 :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_transpose_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[i, j] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix1x1 :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
+ y[0, 0] = 1/x[0, 0]
+ return
+}
+
+@(require_results)
+inverse_matrix2x2 :: proc "contextless" (x: $M/matrix[2, 2]$T) -> (y: M) {
+ d := x[0, 0]*x[1, 1] - x[0, 1]*x[1, 0]
+ when intrinsics.type_is_integer(T) {
+ y[0, 0] = +x[1, 1] / d
+ y[0, 1] = -x[0, 1] / d
+ y[1, 0] = -x[1, 0] / d
+ y[1, 1] = +x[0, 0] / d
+ } else {
+ id := 1 / d
+ y[0, 0] = +x[1, 1] * id
+ y[0, 1] = -x[0, 1] * id
+ y[1, 0] = -x[1, 0] * id
+ y[1, 1] = +x[0, 0] * id
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix3x3 :: proc "contextless" (x: $M/matrix[3, 3]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d := determinant(x)
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<3 {
+ for j in 0..<3 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
+
+@(require_results)
+inverse_matrix4x4 :: proc "contextless" (x: $M/matrix[4, 4]$T) -> (y: M) #no_bounds_check {
+ a := adjugate(x)
+ d: T
+ for i in 0..<4 {
+ d += x[0, i] * a[0, i]
+ }
+ when intrinsics.type_is_integer(T) {
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] / d
+ }
+ }
+ } else {
+ id := 1/d
+ for i in 0..<4 {
+ for j in 0..<4 {
+ y[i, j] = a[j, i] * id
+ }
+ }
+ }
+ return
+}
+
+
+
asfloat :: proc{
asfloat_float,
diff --git a/core/math/linalg/specific.odin b/core/math/linalg/specific.odin
index 1f96eb178..36783e1e2 100644
--- a/core/math/linalg/specific.odin
+++ b/core/math/linalg/specific.odin
@@ -1,6 +1,6 @@
package linalg
-import "core:builtin"
+import "base:builtin"
import "core:math"
F16_EPSILON :: 1e-3
@@ -1447,16 +1447,16 @@ matrix3_adjoint :: proc{
@(require_results)
-matrix3_inverse_transpose_f16 :: proc "contextless" (m: Matrix3f16) -> (inverse_transpose: Matrix3f16) {
- return builtin.inverse_transpose(m)
+matrix3_inverse_transpose_f16 :: proc "contextless" (m: Matrix3f16) -> (p: Matrix3f16) {
+ return inverse_transpose(m)
}
@(require_results)
-matrix3_inverse_transpose_f32 :: proc "contextless" (m: Matrix3f32) -> (inverse_transpose: Matrix3f32) {
- return builtin.inverse_transpose(m)
+matrix3_inverse_transpose_f32 :: proc "contextless" (m: Matrix3f32) -> (p: Matrix3f32) {
+ return inverse_transpose(m)
}
@(require_results)
-matrix3_inverse_transpose_f64 :: proc "contextless" (m: Matrix3f64) -> (inverse_transpose: Matrix3f64) {
- return builtin.inverse_transpose(m)
+matrix3_inverse_transpose_f64 :: proc "contextless" (m: Matrix3f64) -> (p: Matrix3f64) {
+ return inverse_transpose(m)
}
matrix3_inverse_transpose :: proc{
matrix3_inverse_transpose_f16,
diff --git a/core/math/math.odin b/core/math/math.odin
index 696293f70..7fdbcba04 100644
--- a/core/math/math.odin
+++ b/core/math/math.odin
@@ -1,7 +1,7 @@
package math
-import "core:intrinsics"
-import "core:builtin"
+import "base:intrinsics"
+import "base:builtin"
_ :: intrinsics
Float_Class :: enum {
diff --git a/core/math/math_basic.odin b/core/math/math_basic.odin
index 95e0a93ec..041efd272 100644
--- a/core/math/math_basic.odin
+++ b/core/math/math_basic.odin
@@ -1,7 +1,7 @@
//+build !js
package math
-import "core:intrinsics"
+import "base:intrinsics"
@(default_calling_convention="none", private="file")
foreign _ {
diff --git a/core/math/math_basic_js.odin b/core/math/math_basic_js.odin
index acd3c2b39..5b9adabcd 100644
--- a/core/math/math_basic_js.odin
+++ b/core/math/math_basic_js.odin
@@ -1,7 +1,7 @@
//+build js
package math
-import "core:intrinsics"
+import "base:intrinsics"
foreign import "odin_env"
diff --git a/core/math/rand/rand.odin b/core/math/rand/rand.odin
index 7e6d58ee2..14894e82c 100644
--- a/core/math/rand/rand.odin
+++ b/core/math/rand/rand.odin
@@ -4,7 +4,7 @@ Package core:math/rand implements various random number generators
*/
package rand
-import "core:intrinsics"
+import "base:intrinsics"
import "core:math"
import "core:mem"