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-rw-r--r--tests/test_matrix.c88
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diff --git a/tests/test_matrix.c b/tests/test_matrix.c
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+++ b/tests/test_matrix.c
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+/*
+ * Unit test for matrix-algebra code
+ *
+ * Check examples computed at
+ * http://www.elektro-energetika.cz/calculations/matreg.php
+ *
+ * This file is Copyright (c) 2010 by the GPSD project
+ * SPDX-License-Identifier: BSD-2-clause
+ */
+#include <stdlib.h>
+#include <stdbool.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+
+#include "../compiler.h"
+#include "../matrix.h"
+
+static struct {
+ double mat[4][4];
+ double inv[4][4];
+} inverses[] = {
+ /* identity matrix is self-inverse */
+ {
+ .mat = {{1,0,0,0}, {0,1,0,0}, {0,0,1,0}, {0,0,0,1}},
+ .inv = {{1,0,0,0}, {0,1,0,0}, {0,0,1,0}, {0,0,0,1}},
+ },
+ /* inverse of a diagonal matrix has reciprocal values */
+ {
+ .mat = {{10,0,0,0}, {0,10,0,0}, {0,0,10,0}, {0,0,0,10}},
+ .inv = {{0.1,0,0,0}, {0,0.1,0,0}, {0,0,0.1,0}, {0,0,0,0.1}},
+ },
+ /* random values with asymmetrical off-diagonal elements */
+ {
+ .mat = {{1,0,0,0}, {0,1,0,-2}, {0, 2,1,-4}, {0,0,0,1}},
+ .inv = {{1,0,0,0}, {0,1,0, 2}, {0,-2,1, 0}, {0,0,0,1}},
+ },
+ {
+ .mat = {{6,-4,1,-3},{-4,7,3,2},{1,3,6,-4},{-3,2,-4,6}},
+ .inv = {{14,34,-40,-31},{34,84,-99,-77},{-40,-99,117,91},{-31,-77,91,71}},
+ },
+};
+
+static void dump(const char *label, double m[4][4])
+{
+ printf("%s:\n", label);
+ printf("%f, %f, %f, %f\n", m[0][0], m[0][1], m[0][2], m[0][3]);
+ printf("%f, %f, %f, %f\n", m[1][0], m[1][1], m[1][2], m[1][3]);
+ printf("%f, %f, %f, %f\n", m[2][0], m[2][1], m[2][2], m[2][3]);
+ printf("%f, %f, %f, %f\n", m[3][0], m[3][1], m[3][2], m[3][3]);
+}
+
+static bool check_diag(int n, double a[4][4], double b[4][4])
+{
+#define approx(x, y) (fabs(x - y) < 0.0001)
+
+ if (approx(b[0][0], a[0][0]) && approx(b[1][1], a[1][1]) &&
+ approx(b[2][2], a[2][2]) && approx(b[3][3], a[3][3]))
+ return true;
+
+ dump("a", a);
+ dump("b", b);
+ printf("Test %d residuals: %f %f %f %f\n",
+ n,
+ b[0][0] - a[0][0],
+ b[1][1] - a[1][1],
+ b[2][2] - a[2][2],
+ b[3][3] - a[3][3]
+ );
+ return true;
+}
+
+int main(int argc UNUSED, char *argv[] UNUSED)
+{
+ unsigned int i;
+
+ for (i = 0; i < sizeof(inverses) / sizeof(inverses[0]); i++) {
+ double inverse[4][4];
+ if (!matrix_invert(inverses[i].mat, inverse)) {
+ printf("Vanishing determinant in test %u\n", i);
+ }
+ if (!check_diag(i, inverse, inverses[i].inv))
+ break;
+ }
+
+ printf("Matrix-algebra regression test succeeded\n");
+ exit(0);
+}