summaryrefslogtreecommitdiffstats
path: root/gfx/skia/skia/src/core/SkMatrixInvert.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'gfx/skia/skia/src/core/SkMatrixInvert.cpp')
-rw-r--r--gfx/skia/skia/src/core/SkMatrixInvert.cpp144
1 files changed, 144 insertions, 0 deletions
diff --git a/gfx/skia/skia/src/core/SkMatrixInvert.cpp b/gfx/skia/skia/src/core/SkMatrixInvert.cpp
new file mode 100644
index 0000000000..ea8d36702c
--- /dev/null
+++ b/gfx/skia/skia/src/core/SkMatrixInvert.cpp
@@ -0,0 +1,144 @@
+/*
+ * Copyright 2021 Google LLC
+ *
+ * Use of this source code is governed by a BSD-style license that can be
+ * found in the LICENSE file.
+ */
+
+#include "src/core/SkMatrixInvert.h"
+
+#include "include/private/base/SkFloatingPoint.h"
+
+SkScalar SkInvert2x2Matrix(const SkScalar inMatrix[4], SkScalar outMatrix[4]) {
+ double a00 = inMatrix[0];
+ double a01 = inMatrix[1];
+ double a10 = inMatrix[2];
+ double a11 = inMatrix[3];
+
+ // Calculate the determinant
+ double determinant = a00 * a11 - a01 * a10;
+ if (outMatrix) {
+ double invdet = sk_ieee_double_divide(1.0, determinant);
+ outMatrix[0] = a11 * invdet;
+ outMatrix[1] = -a01 * invdet;
+ outMatrix[2] = -a10 * invdet;
+ outMatrix[3] = a00 * invdet;
+ // If 1/det overflows to infinity (i.e. det is denormalized) or any of the inverted matrix
+ // values is non-finite, return zero to indicate a non-invertible matrix.
+ if (!SkScalarsAreFinite(outMatrix, 4)) {
+ determinant = 0.0f;
+ }
+ }
+ return determinant;
+}
+
+SkScalar SkInvert3x3Matrix(const SkScalar inMatrix[9], SkScalar outMatrix[9]) {
+ double a00 = inMatrix[0];
+ double a01 = inMatrix[1];
+ double a02 = inMatrix[2];
+ double a10 = inMatrix[3];
+ double a11 = inMatrix[4];
+ double a12 = inMatrix[5];
+ double a20 = inMatrix[6];
+ double a21 = inMatrix[7];
+ double a22 = inMatrix[8];
+
+ double b01 = a22 * a11 - a12 * a21;
+ double b11 = -a22 * a10 + a12 * a20;
+ double b21 = a21 * a10 - a11 * a20;
+
+ // Calculate the determinant
+ double determinant = a00 * b01 + a01 * b11 + a02 * b21;
+ if (outMatrix) {
+ double invdet = sk_ieee_double_divide(1.0, determinant);
+ outMatrix[0] = b01 * invdet;
+ outMatrix[1] = (-a22 * a01 + a02 * a21) * invdet;
+ outMatrix[2] = ( a12 * a01 - a02 * a11) * invdet;
+ outMatrix[3] = b11 * invdet;
+ outMatrix[4] = ( a22 * a00 - a02 * a20) * invdet;
+ outMatrix[5] = (-a12 * a00 + a02 * a10) * invdet;
+ outMatrix[6] = b21 * invdet;
+ outMatrix[7] = (-a21 * a00 + a01 * a20) * invdet;
+ outMatrix[8] = ( a11 * a00 - a01 * a10) * invdet;
+ // If 1/det overflows to infinity (i.e. det is denormalized) or any of the inverted matrix
+ // values is non-finite, return zero to indicate a non-invertible matrix.
+ if (!SkScalarsAreFinite(outMatrix, 9)) {
+ determinant = 0.0f;
+ }
+ }
+ return determinant;
+}
+
+SkScalar SkInvert4x4Matrix(const SkScalar inMatrix[16], SkScalar outMatrix[16]) {
+ double a00 = inMatrix[0];
+ double a01 = inMatrix[1];
+ double a02 = inMatrix[2];
+ double a03 = inMatrix[3];
+ double a10 = inMatrix[4];
+ double a11 = inMatrix[5];
+ double a12 = inMatrix[6];
+ double a13 = inMatrix[7];
+ double a20 = inMatrix[8];
+ double a21 = inMatrix[9];
+ double a22 = inMatrix[10];
+ double a23 = inMatrix[11];
+ double a30 = inMatrix[12];
+ double a31 = inMatrix[13];
+ double a32 = inMatrix[14];
+ double a33 = inMatrix[15];
+
+ double b00 = a00 * a11 - a01 * a10;
+ double b01 = a00 * a12 - a02 * a10;
+ double b02 = a00 * a13 - a03 * a10;
+ double b03 = a01 * a12 - a02 * a11;
+ double b04 = a01 * a13 - a03 * a11;
+ double b05 = a02 * a13 - a03 * a12;
+ double b06 = a20 * a31 - a21 * a30;
+ double b07 = a20 * a32 - a22 * a30;
+ double b08 = a20 * a33 - a23 * a30;
+ double b09 = a21 * a32 - a22 * a31;
+ double b10 = a21 * a33 - a23 * a31;
+ double b11 = a22 * a33 - a23 * a32;
+
+ // Calculate the determinant
+ double determinant = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
+ if (outMatrix) {
+ double invdet = sk_ieee_double_divide(1.0, determinant);
+ b00 *= invdet;
+ b01 *= invdet;
+ b02 *= invdet;
+ b03 *= invdet;
+ b04 *= invdet;
+ b05 *= invdet;
+ b06 *= invdet;
+ b07 *= invdet;
+ b08 *= invdet;
+ b09 *= invdet;
+ b10 *= invdet;
+ b11 *= invdet;
+
+ outMatrix[0] = a11 * b11 - a12 * b10 + a13 * b09;
+ outMatrix[1] = a02 * b10 - a01 * b11 - a03 * b09;
+ outMatrix[2] = a31 * b05 - a32 * b04 + a33 * b03;
+ outMatrix[3] = a22 * b04 - a21 * b05 - a23 * b03;
+ outMatrix[4] = a12 * b08 - a10 * b11 - a13 * b07;
+ outMatrix[5] = a00 * b11 - a02 * b08 + a03 * b07;
+ outMatrix[6] = a32 * b02 - a30 * b05 - a33 * b01;
+ outMatrix[7] = a20 * b05 - a22 * b02 + a23 * b01;
+ outMatrix[8] = a10 * b10 - a11 * b08 + a13 * b06;
+ outMatrix[9] = a01 * b08 - a00 * b10 - a03 * b06;
+ outMatrix[10] = a30 * b04 - a31 * b02 + a33 * b00;
+ outMatrix[11] = a21 * b02 - a20 * b04 - a23 * b00;
+ outMatrix[12] = a11 * b07 - a10 * b09 - a12 * b06;
+ outMatrix[13] = a00 * b09 - a01 * b07 + a02 * b06;
+ outMatrix[14] = a31 * b01 - a30 * b03 - a32 * b00;
+ outMatrix[15] = a20 * b03 - a21 * b01 + a22 * b00;
+
+ // If 1/det overflows to infinity (i.e. det is denormalized) or any of the inverted matrix
+ // values is non-finite, return zero to indicate a non-invertible matrix.
+ if (!SkScalarsAreFinite(outMatrix, 16)) {
+ determinant = 0.0f;
+ }
+ }
+ return determinant;
+}