log(-<realnumber>) now returns a real number

[ginac.git] / check / exam_matrices.cpp

diff --git a/check/exam_matrices.cpp b/check/exam_matrices.cpp
index cf7649266598e94d2e43713076d4ec8e723dbe4d..449b6d38a15b6f47c280d823156d507b77c4b434 100644 (file)
--- a/check/exam_matrices.cpp
+++ b/check/exam_matrices.cpp
@@ -3,7 +3,7 @@
  *  Here we examine manipulations on GiNaC's symbolic matrices. */
 
 /*
- *  GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2004 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
@@ -23,7 +23,7 @@
 #include <stdexcept>
 #include "exams.h"
 
-static unsigned matrix_determinants(void)
+static unsigned matrix_determinants()
 {
        unsigned result = 0;
        ex det;
@@ -110,7 +110,7 @@ static unsigned matrix_determinants(void)
        return result;
 }
 
-static unsigned matrix_invert1(void)
+static unsigned matrix_invert1()
 {
        unsigned result = 0;
        matrix m(1,1);
@@ -128,7 +128,7 @@ static unsigned matrix_invert1(void)
        return result;
 }
 
-static unsigned matrix_invert2(void)
+static unsigned matrix_invert2()
 {
        unsigned result = 0;
        matrix m(2,2);
@@ -150,7 +150,7 @@ static unsigned matrix_invert2(void)
        return result;
 }
 
-static unsigned matrix_invert3(void)
+static unsigned matrix_invert3()
 {
        unsigned result = 0;
        matrix m(3,3);
@@ -180,7 +180,7 @@ static unsigned matrix_invert3(void)
        return result;
 }
 
-static unsigned matrix_solve2(void)
+static unsigned matrix_solve2()
 {
        // check the solution of the multiple system A*X = B:
        //       [ 1  2 -1 ] [ x0 y0 ]   [ 4 0 ]
@@ -216,7 +216,7 @@ static unsigned matrix_solve2(void)
        return result;
 }
 
-static unsigned matrix_evalm(void)
+static unsigned matrix_evalm()
 {
        unsigned result = 0;
 
@@ -241,7 +241,47 @@ static unsigned matrix_evalm(void)
        return result;
 }
 
-static unsigned matrix_misc(void)
+static unsigned matrix_rank()
+{
+       unsigned result = 0;
+       symbol x("x"), y("y");
+       matrix m(3,3);
+
+       // the zero matrix always has rank 0
+       if (m.rank() != 0) {
+               clog << "The rank of " << m << " was not computed correctly." << endl;
+               ++result;
+       }
+
+       // a trivial rank one example
+       m = 1, 0, 0,
+           2, 0, 0,
+           3, 0, 0;
+       if (m.rank() != 1) {
+               clog << "The rank of " << m << " was not computed correctly." << endl;
+               ++result;
+       }
+
+       // an example from Maple's help with rank two
+       m = x,  1,  0,
+           0,  0,  1,
+          x*y, y,  1;
+       if (m.rank() != 2) {
+               clog << "The rank of " << m << " was not computed correctly." << endl;
+               ++result;
+       }
+
+       // the 3x3 unit matrix has rank 3
+       m = ex_to<matrix>(unit_matrix(3,3));
+       if (m.rank() != 3) {
+               clog << "The rank of " << m << " was not computed correctly." << endl;
+               ++result;
+       }
+
+       return result;  
+}
+
+static unsigned matrix_misc()
 {
        unsigned result = 0;
        matrix m1(2,2);
@@ -292,7 +332,7 @@ static unsigned matrix_misc(void)
        return result;
 }
 
-unsigned exam_matrices(void)
+unsigned exam_matrices()
 {
        unsigned result = 0;
        
@@ -305,6 +345,7 @@ unsigned exam_matrices(void)
        result += matrix_invert3();  cout << '.' << flush;
        result += matrix_solve2();  cout << '.' << flush;
        result += matrix_evalm();  cout << "." << flush;
+       result += matrix_rank();  cout << "." << flush;
        result += matrix_misc();  cout << '.' << flush;
        
        if (!result) {