det = m1.determinant();
if (det != a) {
clog << "determinant of 1x1 matrix " << m1
- << " erroneously returned " << det << endl;
+ << " erroneously returned " << det << endl;
++result;
}
det = m2.determinant();
if (det != (a*d-b*c)) {
clog << "determinant of 2x2 matrix " << m2
- << " erroneously returned " << det << endl;
+ << " erroneously returned " << det << endl;
++result;
}
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;
}
det = m3.determinant();
if (det != 42) {
clog << "determinant of 3x3 matrix " << m3
- << " erroneously returned " << det << endl;
+ << " erroneously returned " << det << endl;
++result;
}
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;
}
det = m4.determinant();
if (det != a*b*c*d) {
clog << "determinant of 4x4 matrix " << m4
- << " erroneously returned " << det << endl;
+ << " erroneously returned " << det << endl;
++result;
}
ex p = m3.charpoly(a);
if (p != 0) {
clog << "charpoly of 3x3 matrix " << m3
- << " erroneously returned " << p << endl;
+ << " erroneously returned " << p << endl;
++result;
}
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;
}
(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;
}
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;
}
result = 1;
if (result) {
clog << "Solving " << A << " * " << X << " == " << B << endl
- << "erroneously returned " << sol << endl;
+ << "erroneously returned " << sol << endl;
}
return result;
// check a simple trace
if (tr.compare(a+d)) {
clog << "trace of 2x2 matrix " << m1
- << " erroneously returned " << tr << endl;
+ << " erroneously returned " << tr << endl;
++result;
}
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;
}
}
if (!caught) {
cerr << "singular 2x2 matrix " << m4
- << " erroneously inverted to " << m5 << endl;
+ << " erroneously inverted to " << m5 << endl;
++result;
}