added test for evalm()
[ginac.git] / check / exam_matrices.cpp
index a032bfe8bb891577d162e170a0006c5b868d497d..cf7649266598e94d2e43713076d4ec8e723dbe4d 100644 (file)
@@ -3,7 +3,7 @@
  *  Here we examine manipulations on GiNaC's symbolic matrices. */
 
 /*
- *  GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
@@ -37,7 +37,7 @@ static unsigned matrix_determinants(void)
        det = m1.determinant();
        if (det != a) {
                clog << "determinant of 1x1 matrix " << m1
-                        << " erroneously returned " << det << endl;
+                    << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -47,7 +47,7 @@ static unsigned matrix_determinants(void)
        det = m2.determinant();
        if (det != (a*d-b*c)) {
                clog << "determinant of 2x2 matrix " << m2
-                        << " erroneously returned " << det << endl;
+                    << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -58,7 +58,7 @@ static unsigned matrix_determinants(void)
        det = m3.determinant();
        if (det != (a*e*i - a*f*h - d*b*i + d*c*h + g*b*f - g*c*e)) {
                clog << "determinant of 3x3 matrix " << m3
-                        << " erroneously returned " << det << endl;
+                    << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -69,7 +69,7 @@ static unsigned matrix_determinants(void)
        det = m3.determinant();
        if (det != 42) {
                clog << "determinant of 3x3 matrix " << m3
-                        << " erroneously returned " << det << endl;
+                    << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -80,10 +80,10 @@ static unsigned matrix_determinants(void)
        if (det != 1) {
                if (det.normal() == 1)  // only half wrong
                        clog << "determinant of 2x2 matrix " << m2
-                                << " was returned unnormalized as " << det << endl;
+                            << " was returned unnormalized as " << det << endl;
                else  // totally wrong
                        clog << "determinant of 2x2 matrix " << m2
-                                << " erroneously returned " << det << endl;
+                            << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -92,7 +92,7 @@ static unsigned matrix_determinants(void)
        det = m4.determinant();
        if (det != a*b*c*d) {
                clog << "determinant of 4x4 matrix " << m4
-                        << " erroneously returned " << det << endl;
+                    << " erroneously returned " << det << endl;
                ++result;
        }
        
@@ -103,7 +103,7 @@ static unsigned matrix_determinants(void)
        ex p = m3.charpoly(a);
        if (p != 0) {
                clog << "charpoly of 3x3 matrix " << m3
-                        << " erroneously returned " << p << endl;
+                    << " erroneously returned " << p << endl;
                ++result;
        }
        
@@ -121,7 +121,7 @@ static unsigned matrix_invert1(void)
        
        if (m_i(0,0) != pow(a,-1)) {
                clog << "inversion of 1x1 matrix " << m
-                        << " erroneously returned " << m_i << endl;
+                    << " erroneously returned " << m_i << endl;
                ++result;
        }
        
@@ -143,7 +143,7 @@ static unsigned matrix_invert2(void)
                (normal(m_i(1,0)*det) != -c) ||
                (normal(m_i(1,1)*det) != a)) {
                clog << "inversion of 2x2 matrix " << m
-                        << " erroneously returned " << m_i << endl;
+                    << " erroneously returned " << m_i << endl;
                ++result;
        }
        
@@ -164,16 +164,16 @@ static unsigned matrix_invert3(void)
        ex det = m.determinant();
        
        if ((normal(m_i(0,0)*det) != (e*i-f*h)) ||
-               (normal(m_i(0,1)*det) != (c*h-b*i)) ||
-               (normal(m_i(0,2)*det) != (b*f-c*e)) ||
-               (normal(m_i(1,0)*det) != (f*g-d*i)) ||
-               (normal(m_i(1,1)*det) != (a*i-c*g)) ||
-               (normal(m_i(1,2)*det) != (c*d-a*f)) ||
-               (normal(m_i(2,0)*det) != (d*h-e*g)) ||
-               (normal(m_i(2,1)*det) != (b*g-a*h)) ||
-               (normal(m_i(2,2)*det) != (a*e-b*d))) {
+           (normal(m_i(0,1)*det) != (c*h-b*i)) ||
+           (normal(m_i(0,2)*det) != (b*f-c*e)) ||
+           (normal(m_i(1,0)*det) != (f*g-d*i)) ||
+           (normal(m_i(1,1)*det) != (a*i-c*g)) ||
+           (normal(m_i(1,2)*det) != (c*d-a*f)) ||
+           (normal(m_i(2,0)*det) != (d*h-e*g)) ||
+           (normal(m_i(2,1)*det) != (b*g-a*h)) ||
+           (normal(m_i(2,2)*det) != (a*e-b*d))) {
                clog << "inversion of 3x3 matrix " << m
-                        << " erroneously returned " << m_i << endl;
+                    << " erroneously returned " << m_i << endl;
                ++result;
        }
        
@@ -210,12 +210,37 @@ static unsigned matrix_solve2(void)
                                result = 1;
        if (result) {
                clog << "Solving " << A << " * " << X << " == " << B << endl
-                        << "erroneously returned " << sol << endl;
+                    << "erroneously returned " << sol << endl;
        }
        
        return result;
 }
 
+static unsigned matrix_evalm(void)
+{
+       unsigned result = 0;
+
+       matrix S(2, 2, lst(
+               1, 2,
+               3, 4
+       )), T(2, 2, lst(
+               1, 1,
+               2, -1
+       )), R(2, 2, lst(
+               27, 14,
+               36, 26
+       ));
+
+       ex e = ((S + T) * (S + 2*T));
+       ex f = e.evalm();
+       if (!f.is_equal(R)) {
+               clog << "Evaluating " << e << " erroneously returned " << f << " instead of " << R << endl;
+               result++;
+       }
+
+       return result;
+}
+
 static unsigned matrix_misc(void)
 {
        unsigned result = 0;
@@ -228,7 +253,7 @@ static unsigned matrix_misc(void)
        // check a simple trace
        if (tr.compare(a+d)) {
                clog << "trace of 2x2 matrix " << m1
-                        << " erroneously returned " << tr << endl;
+                    << " erroneously returned " << tr << endl;
                ++result;
        }
        
@@ -245,7 +270,7 @@ static unsigned matrix_misc(void)
        m3.set(2,0,e).set(2,1,f);
        if (transpose(transpose(m3)) != m3) {
                clog << "transposing 3x2 matrix " << m3 << " twice"
-                        << " erroneously returned " << transpose(transpose(m3)) << endl;
+                    << " erroneously returned " << transpose(transpose(m3)) << endl;
                ++result;
        }
        
@@ -260,7 +285,7 @@ static unsigned matrix_misc(void)
        }
        if (!caught) {
                cerr << "singular 2x2 matrix " << m4
-                        << " erroneously inverted to " << m5 << endl;
+                    << " erroneously inverted to " << m5 << endl;
                ++result;
        }
        
@@ -279,6 +304,7 @@ unsigned exam_matrices(void)
        result += matrix_invert2();  cout << '.' << flush;
        result += matrix_invert3();  cout << '.' << flush;
        result += matrix_solve2();  cout << '.' << flush;
+       result += matrix_evalm();  cout << "." << flush;
        result += matrix_misc();  cout << '.' << flush;
        
        if (!result) {