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authorgingerBill <bill@gingerbill.org>2024-01-28 21:28:54 +0000
committergingerBill <bill@gingerbill.org>2024-01-28 21:28:54 +0000
commitf67691c457f9a369013aac61bcd99890ce252c51 (patch)
treeefa3d14e4d0640965e2d75fe332123b870af2540
parentd04c82e5471bb291cddbef883a36b1caad3b2b99 (diff)
Move matrix related procedures to the different `linalg` packages
-rw-r--r--base/runtime/core_builtin_matrix.odin283
-rw-r--r--core/math/linalg/general.odin275
-rw-r--r--core/math/linalg/glsl/linalg_glsl.odin298
-rw-r--r--core/math/linalg/hlsl/linalg_hlsl.odin291
-rw-r--r--core/math/linalg/specific.odin12
5 files changed, 829 insertions, 330 deletions
diff --git a/base/runtime/core_builtin_matrix.odin b/base/runtime/core_builtin_matrix.odin
deleted file mode 100644
index ed1b5b1e6..000000000
--- a/base/runtime/core_builtin_matrix.odin
+++ /dev/null
@@ -1,283 +0,0 @@
-package runtime
-
-import "core:intrinsics"
-_ :: intrinsics
-
-@(builtin)
-transpose :: intrinsics.transpose
-@(builtin)
-outer_product :: intrinsics.outer_product
-@(builtin)
-hadamard_product :: intrinsics.hadamard_product
-@(builtin)
-matrix_flatten :: intrinsics.matrix_flatten
-
-
-@(builtin)
-determinant :: proc{
- matrix1x1_determinant,
- matrix2x2_determinant,
- matrix3x3_determinant,
- matrix4x4_determinant,
-}
-
-@(builtin)
-adjugate :: proc{
- matrix1x1_adjugate,
- matrix2x2_adjugate,
- matrix3x3_adjugate,
- matrix4x4_adjugate,
-}
-
-@(builtin)
-inverse_transpose :: proc{
- matrix1x1_inverse_transpose,
- matrix2x2_inverse_transpose,
- matrix3x3_inverse_transpose,
- matrix4x4_inverse_transpose,
-}
-
-
-@(builtin)
-inverse :: proc{
- matrix1x1_inverse,
- matrix2x2_inverse,
- matrix3x3_inverse,
- matrix4x4_inverse,
-}
-
-@(builtin, 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))
-}
-
-@(builtin, require_results)
-matrix_trace :: proc "contextless" (m: $M/matrix[$N, N]$T) -> (trace: T) {
- for i in 0..<N {
- trace += m[i, i]
- }
- return
-}
-
-@(builtin, require_results)
-matrix_minor :: proc "contextless" (m: $M/matrix[$N, N]$T, row, column: int) -> (minor: T) where N > 1 {
- K :: 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)
-}
-
-
-
-@(builtin, require_results)
-matrix1x1_determinant :: proc "contextless" (m: $M/matrix[1, 1]$T) -> (det: T) {
- return m[0, 0]
-}
-
-@(builtin, 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]
-}
-@(builtin, 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
-}
-@(builtin, 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
-}
-
-
-
-
-@(builtin, require_results)
-matrix1x1_adjugate :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
- y = x
- return
-}
-
-@(builtin, 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
-}
-
-@(builtin, 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
-}
-
-
-@(builtin, 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
-}
-
-@(builtin, require_results)
-matrix1x1_inverse_transpose :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
- y[0, 0] = 1/x[0, 0]
- return
-}
-
-@(builtin, 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
-}
-
-@(builtin, 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
-}
-
-@(builtin, 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
-}
-
-@(builtin, require_results)
-matrix1x1_inverse :: proc "contextless" (x: $M/matrix[1, 1]$T) -> (y: M) {
- y[0, 0] = 1/x[0, 0]
- return
-}
-
-@(builtin, 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
-}
-
-@(builtin, 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
-}
-
-@(builtin, 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/general.odin b/core/math/linalg/general.odin
index 60185d64d..8743cb2f0 100644
--- a/core/math/linalg/general.odin
+++ b/core/math/linalg/general.odin
@@ -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..68a05be53 100644
--- a/core/math/linalg/glsl/linalg_glsl.odin
+++ b/core/math/linalg/glsl/linalg_glsl.odin
@@ -2,6 +2,7 @@
package math_linalg_glsl
import "core:builtin"
+import "core: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..66278345e 100644
--- a/core/math/linalg/hlsl/linalg_hlsl.odin
+++ b/core/math/linalg/hlsl/linalg_hlsl.odin
@@ -2,6 +2,7 @@
package math_linalg_hlsl
import "core:builtin"
+import "core: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..656def1cc 100644
--- a/core/math/linalg/specific.odin
+++ b/core/math/linalg/specific.odin
@@ -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,