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documentation updated

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This commit is contained in:
Marc Wäckerlin
2016-08-25 19:53:49 +00:00
parent ce223aa21e
commit 286a620021
6 changed files with 925 additions and 915 deletions
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4
configure.ac
View File

@@ -10,8 +10,8 @@
m4_define(x_package_name, libmatricxx) # project's name
m4_define(x_major, 1) # project's major version
m4_define(x_minor, 0) # project's minor version
m4_define(x_least_diff, 12) # start at 0
m4_define(x_minor, 2) # project's minor version
m4_define(x_least_diff, 16) # start at 0
m4_include(ax_init_standard_project.m4)
AC_INIT(x_package_name, x_version, x_bugreport, x_package_name)
AM_INIT_AUTOMAKE([1.9 tar-pax parallel-tests color-tests])

2
debian/control.in vendored
View File

@@ -1,7 +1,7 @@
Source: @PACKAGE_NAME@
Priority: extra
Maintainer: @AUTHOR@
Build-Depends: debhelper, subversion, pkg-config, automake, libtool, autotools-dev, lsb-release , doxygen, graphviz, mscgen, libcppunit-dev, g++
Build-Depends: debhelper, subversion, pkg-config, automake, libtool, autotools-dev, lsb-release , doxygen, graphviz, mscgen, libcppunit-dev, g++, pandoc
Package: @PACKAGE_NAME@
Section: libs

123
src/matrix.hxx
View File

@@ -22,35 +22,50 @@
*/
/// Mathematical Classes and Functions
/** */
/// Auxiliary Mathematical Functions
namespace math {
template<typename TYPE>
bool almostEqual(TYPE a, TYPE b) {
a = std::fabs(a);
b = std::fabs(b);
TYPE diff(std::fabs(a-b));
TYPE max(a>b?a:b);
if (max<1) return diff<=1000*std::numeric_limits<TYPE>::epsilon();
return diff<=max*1000*std::numeric_limits<TYPE>::epsilon();
}
/// Compare Floating Points Whether They Are Almost Equal
/** Floating points such as @c float and @c double are not 100%
exact, because the numbers are represented by a limited number
of bits. That's why floating points should not be compared
with normal equality operator @c ==, but use function
math::equal. This function detects floating points and then
calls almostEqual instead of @c ==. */
template<typename TYPE>
bool almostEqual(TYPE a, TYPE b) {
a = std::fabs(a);
b = std::fabs(b);
TYPE diff(std::fabs(a-b));
TYPE max(a>b?a:b);
if (max<1) return diff<=1000*std::numeric_limits<TYPE>::epsilon();
return diff<=max*1000*std::numeric_limits<TYPE>::epsilon();
}
/// Check Two Values For Equality
/** If the values are floating point variables, it calls
math::aux::almostEqual. */
template<typename TYPE>
bool equal(const TYPE& a, const TYPE& b) {
return a==b;
}
/// Check if Two <code>long double</code> Values are Nearly Equal
/** calls math::aux::almostEqual. */
template<>
bool equal(const long double& a, const long double& b) {
return almostEqual(a, b);
}
/// Check if Two @c double Values are Nearly Equal
/** calls math::aux::almostEqual. */
template<>
bool equal(const double& a, const double& b) {
return almostEqual(a, b);
}
/// Check if Two @c float Values are Nearly Equal
/** calls math::aux::almostEqual. */
template<>
bool equal(const float& a, const float& b) {
return almostEqual(a, b);
@@ -58,6 +73,8 @@ namespace math {
}
/** Base class with common functions for Matrix and
Matrix<TYPE,0,0>. Implements generic common methods. */
template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
//..............................................................variables
@@ -72,7 +89,7 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
public:
/// @name Auxiliary Classes
///{
///@{
/// Return One Row as Vector, internally used for element access
/** Only used to access values:
@@ -83,6 +100,7 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
@endcode */
class RowVector {
public:
/// Get Column given a Matrix Row
TYPE& operator[](size_t column) {
assert(column<_m.COLUMNS);
return _v[column];
@@ -98,6 +116,7 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
/// Same as RowVector, but in a constant environment.
class ConstRowVector {
public:
/// Get Column given a Matrix Row
const TYPE& operator[](size_t column) const {
assert(column<_m.COLUMNS);
return _v[column];
@@ -110,13 +129,13 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
const TYPE *_v;
};
///}
///@}
//................................................................methods
public:
/// @name construction
///{
///@{
MatrixBase(size_t rows, size_t columns):
ROWS(rows), COLUMNS(columns),
@@ -130,60 +149,84 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
_c{std::forward<TYPE>(t)...} {
}
///}
///@}
/// @name element access
///{
///@{
/// Access Matrix Element at Given Row and Column
/** You have three possibilities to access an element of a
matrix:
@code
Matrix<int,3,3> m;
int a21 = m[2][1]; // use bracket operator
int b21 = m(2, 1); // use function operator
int c21 = m.at(2, 1); // use at
@endcode */
TYPE& at(size_t row, size_t column) {
assert(row<ROWS);
assert(column<COLUMNS);
return *((TYPE*)_c+row*COLUMNS+column);
}
/// Access Matrix Element at Given Row and Column
/** @copydoc at */
const TYPE& at(size_t row, size_t column) const {
assert(row<ROWS);
assert(column<COLUMNS);
return *((TYPE*)_c+row*COLUMNS+column);
}
/// Access Matrix Element at Given Row and Column
/** @copydoc at */
TYPE& operator()(size_t row, size_t column) {
return at(row, column);
}
/// Access Matrix Element at Given Row and Column
/** @copydoc at */
const TYPE& operator()(size_t row, size_t column) const {
return at(row, column);
}
/// Access Matrix Element at Given Row and Column
/** @copydoc at */
RowVector operator[](size_t row) {
assert(row<ROWS);
return RowVector(*this, (TYPE*)_c+row*COLUMNS);
}
/// Access Matrix Element at Given Row and Column
/** @copydoc at */
const ConstRowVector operator[](size_t row) const {
assert(row<ROWS);
return ConstRowVector(*this, (TYPE*)_c+row*COLUMNS);
}
/// Get Number Of Rows
size_t rows() const {
return ROWS;
}
/// Get Number Of Columns
size_t columns() const {
return COLUMNS;
}
///}
///@}
/// @name operators
///{
///@{
/// Assign Other Matrix Of Same Size
MatrixBase& operator=(const MatrixBase& o) {
assert_check(o);
memcpy(_c, o._c, MEM_SIZE);
return *this;
}
/// Compare To Other Matrix
bool operator==(const MatrixBase& o) const {
if (!check(o)) return false;
TYPE *to((TYPE*)(_c)+SIZE), *from((TYPE*)(o._c)+SIZE);
@@ -191,10 +234,12 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
return true;
}
/// Compare To Other Matrix
bool operator!=(const MatrixBase& o) const {
return !operator==(o);
}
/// Add Other Matrix
MatrixBase& operator+=(const MatrixBase& o) {
assert_check(o);
TYPE *to((TYPE*)(_c)+SIZE), *from((TYPE*)(o._c)+SIZE);
@@ -202,6 +247,7 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
return *this;
}
/// Subtract Other Matrix
MatrixBase& operator-=(const MatrixBase& o) {
assert_check(o);
TYPE *to((TYPE*)(_c)+SIZE), *from((TYPE*)(o._c)+SIZE);
@@ -209,35 +255,42 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
return *this;
}
/// Multiply Matrix With Scalar
MatrixBase& operator*=(const TYPE& o) {
TYPE *res((TYPE*)(_c)+SIZE);
while (res>(TYPE*)(_c)) *--res *= o;
return *this;
}
/// Divide Matrix By Scalar
MatrixBase& operator/=(const TYPE& o) {
TYPE *res((TYPE*)(_c)+SIZE);
while (res>(TYPE*)(_c)) *--res /= o;
return *this;
}
///}
///@}
/// @name special operations
///{
///@{
/// Apply Any External Function To Each Element
MatrixBase& apply(std::function<void(TYPE&)> fn) {
TYPE *to((TYPE*)(_c)+SIZE);
while (to>(TYPE*)(_c)) fn(*--to);
return *this;
}
/// Calculate Determinant Of The Matrix
/** The Matrix is replaced by it's gaussian representation. */
TYPE det() {
TYPE res(gauss());
for (TYPE *p((TYPE*)(_c)+SIZE); --p>=(TYPE*)(_c); p-=COLUMNS) res *= *p;
return res;
}
/// Calculate Gaussian Representation
/** The Matrix is replaced by it's gaussian representation. */
TYPE gauss() {
/// calculate using gauss algorithmus
/// @see http://www.mathebibel.de/determinante-berechnen-nach-gauss
@@ -263,8 +316,6 @@ template<typename TYPE, typename ARRAY=TYPE*> class MatrixBase {
return lambda;
}
///}
//................................................................methods
protected:
@@ -294,7 +345,7 @@ template<typename TYPE, size_t TROWS=0, size_t TCOLUMNS=0> class Matrix:
public:
/// @name construction
///{
///@{
Matrix(): Parent(TROWS, TCOLUMNS) {
memset(Parent::_c, 0, Parent::MEM_SIZE);
@@ -309,10 +360,10 @@ template<typename TYPE, size_t TROWS=0, size_t TCOLUMNS=0> class Matrix:
static_assert(sizeof...(t)==TROWS*TCOLUMNS, "wrong array size");
}
///}
///@}
/// @name operators
///{
///@{
Matrix& operator=(const Matrix& o) {
Parent::operator=(o);
@@ -356,10 +407,10 @@ template<typename TYPE, size_t TROWS=0, size_t TCOLUMNS=0> class Matrix:
return res;
}
///}
///@}
/// @name special operations
///{
///@{
Matrix& apply(std::function<void(TYPE&)> fn) {
Parent::apply(fn);
@@ -428,7 +479,7 @@ template<typename TYPE, size_t TROWS=0, size_t TCOLUMNS=0> class Matrix:
return *this;
}
///}
///@}
};
//==============================================================================
@@ -444,7 +495,7 @@ template<typename TYPE> class Matrix<TYPE, 0, 0>: public MatrixBase<TYPE> {
public:
/// @name construction
///{
///@{
Matrix() = delete;
@@ -467,19 +518,19 @@ template<typename TYPE> class Matrix<TYPE, 0, 0>: public MatrixBase<TYPE> {
copy_args(Parent::_c, t...);
}
///}
///@}
/// @name destruction
///{
///@{
virtual ~Matrix() {
delete[] Parent::_c;
}
///}
///@}
/// @name operators
///{
///@{
Matrix& operator=(const Matrix& o) {
Parent::operator=(o);
@@ -522,10 +573,10 @@ template<typename TYPE> class Matrix<TYPE, 0, 0>: public MatrixBase<TYPE> {
return res;
}
///}
///@}
///@name special operations
///{
///@{
Matrix& resize(size_t rows, size_t columns) {
if (rows!=this->ROWS||columns!=this->COLUMNS) {
@@ -608,7 +659,7 @@ template<typename TYPE> class Matrix<TYPE, 0, 0>: public MatrixBase<TYPE> {
return *this;
}
///}
///@}
//................................................................methods
protected:

858
test/basic.cxx
View File

@@ -1,858 +0,0 @@
/*! @file
@id $Id$
*/
// 1 2 3 4 5 6 7 8
// 45678901234567890123456789012345678901234567890123456789012345678901234567890
#include <matrix.hxx>
#include <cppunit/TestFixture.h>
#include <cppunit/ui/text/TestRunner.h>
#include <cppunit/extensions/HelperMacros.h>
#include <cppunit/extensions/TestFactoryRegistry.h>
#include <cppunit/XmlOutputter.h>
#include <fstream>
class TemplateMatrixTest: public CppUnit::TestFixture {
public:
template<typename T>
void initFromArray1() {
const Matrix<T,2,4> m {1, 2, 3, 4,
5, 6, 7, 8};
Matrix<T,2,4> m2;
m2 = {1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray2() {
const Matrix<T,2,4> m(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray3() {
const Matrix<T,2,4> m({1, 2, 3, 4,
5, 6, 7, 8});
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T,2,4> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T,2,4> m3;
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
const Matrix<T,2,2> m;
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m3(1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T,2,4> m4(9, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m5(1, 2, 0, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
CPPUNIT_ASSERT(m1!=m5);
}
template<typename T>
void operator_plus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1+m2);
const Matrix<T,2,4> res(3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1-m2);
const Matrix<T,2,4> res(-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T,2,4> m1(2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T,2,3> m1(1, 2, 3,
4, 5, 6);
const Matrix<T,3,4> m2(1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T,2,4> m(m1*m2);
const Matrix<T,2,4> res(14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T,2,3> m(1, 2, 3,
4, 5, 6);
const Matrix<T,3,2> res(1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T,3,3> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void gauss() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T,3,3> res(1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T,3,3> m1(1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T,3,2> m2(1, 0,
0, 1,
0, 0);
const Matrix<T,2,3> m3(1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T,3,3> m(2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T,3,3> res(0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T,3,3> res(-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T,3,3> res((T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T,3,3> res(-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 3, 1,
1, 1, 2,
2, 3, 4);
const Matrix<T,3,3> res(2, 9, -5,
0, -2, 1,
-1, -3, 2);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,4,4> m(2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T,4,4> res((T)-1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T,4,4> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,2,2> m(4, 3,
3, 2);
const Matrix<T,2,2> res(-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T,3,4> m1(1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T,3,4> m2;
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(TemplateMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromArray3<int>);
CPPUNIT_TEST(initFromArray3<long>);
CPPUNIT_TEST(initFromArray3<unsigned>);
CPPUNIT_TEST(initFromArray3<unsigned long>);
CPPUNIT_TEST(initFromArray3<float>);
CPPUNIT_TEST(initFromArray3<double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(TemplateMatrixTest);
class VariableMatrixTest: public CppUnit::TestFixture {
public:
template<typename T>
void initFromArray1() {
Matrix<T> m(2,4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4);
m2 = {2, 4,
1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray2() {
Matrix<T> m(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T> m3(2, 4);
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
Matrix<T> m(2, 4);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m3(2, 4,
1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T> m4(2, 4,
9, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
}
template<typename T>
void operator_plus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1+m2);
const Matrix<T> res(2, 4,
3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1-m2);
const Matrix<T> res(2, 4,
-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T> m1(2, 4,
2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T> m1(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> m2(3, 4,
1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T> m(m1*m2);
const Matrix<T> res(2, 4,
14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T> m(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> res(3, 2,
1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void gauss() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T> res(3,3,
1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T> m1(3, 3,
1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T> m2(3, 2,
1, 0,
0, 1,
0, 0);
const Matrix<T> m3(2, 3,
1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T> m(3, 3,
2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T> res(3, 3,
0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T> res(3, 3,
-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T> res(3, 3,
(T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T> res(3, 3,
-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(4, 4,
2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T> res(4, 4,
(T)-1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(2, 2,
4, 3,
3, 2);
const Matrix<T> res(2, 2,
-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T> m1(3, 4,
1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T> m2(1, 1);
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(VariableMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(VariableMatrixTest);
int main(int argc, char** argv) try {
std::ofstream ofs((*argv+std::string(".xml")).c_str());
CppUnit::TextUi::TestRunner runner;
runner.setOutputter(new CppUnit::XmlOutputter(&runner.result(), ofs));
runner.addTest(CppUnit::TestFactoryRegistry::getRegistry().makeTest());
return runner.run() ? 0 : 1;
} catch (std::exception& e) {
std::cerr<<"***Exception: "<<e.what()<<std::endl;
return 1;
}

4
test/makefile.am
View File

@@ -12,10 +12,10 @@ AM_CPPFLAGS = -I${top_srcdir}/src -I${top_builddir}/src
AM_LDFLAGS = -L${abs_top_builddir}/src/.libs
LDADD = -lcppunit -lmatricxx
check_PROGRAMS = basic
check_PROGRAMS = matricxx
TESTS = ${check_PROGRAMS}
basic_SOURCES = basic.cxx
matricxx_SOURCES = matricxx.cxx
CLEANFILES = ${check_PROGRAMS:%=%.xml}
MAINTAINERCLEANFILES = makefile.in

845
test/matricxx.cxx
View File

@@ -1,15 +1,11 @@
/** @id $Id$
This file has been added:
- by bootstrap.sh
- on Thu, 25 August 2016 18:18:47 +0200
/*! @file
@id $Id$
*/
// 1 2 3 4 5 6 7 8
// 45678901234567890123456789012345678901234567890123456789012345678901234567890
#include <matrix.hxx>
#include <cppunit/TestFixture.h>
#include <cppunit/ui/text/TestRunner.h>
#include <cppunit/extensions/HelperMacros.h>
@@ -17,17 +13,838 @@
#include <cppunit/XmlOutputter.h>
#include <fstream>
/// @todo Rename DummyTest and DummyTest::dummy()
/// @todo Write test cases
class DummyTest: public CppUnit::TestFixture {
class TemplateMatrixTest: public CppUnit::TestFixture {
public:
void dummy() {
template<typename T>
void initFromArray1() {
const Matrix<T,2,4> m {1, 2, 3, 4,
5, 6, 7, 8};
Matrix<T,2,4> m2;
m2 = {1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
CPPUNIT_TEST_SUITE(DummyTest);
CPPUNIT_TEST(dummy);
template<typename T>
void initFromArray2() {
const Matrix<T,2,4> m(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray3() {
const Matrix<T,2,4> m({1, 2, 3, 4,
5, 6, 7, 8});
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T,2,4> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T,2,4> m3;
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
const Matrix<T,2,2> m;
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m3(1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T,2,4> m4(9, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m5(1, 2, 0, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
CPPUNIT_ASSERT(m1!=m5);
}
template<typename T>
void operator_plus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1+m2);
const Matrix<T,2,4> res(3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1-m2);
const Matrix<T,2,4> res(-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T,2,4> m1(2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T,2,3> m1(1, 2, 3,
4, 5, 6);
const Matrix<T,3,4> m2(1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T,2,4> m(m1*m2);
const Matrix<T,2,4> res(14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T,2,3> m(1, 2, 3,
4, 5, 6);
const Matrix<T,3,2> res(1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T,3,3> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void gauss() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T,3,3> res(1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T,3,3> m1(1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T,3,2> m2(1, 0,
0, 1,
0, 0);
const Matrix<T,2,3> m3(1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T,3,3> m(2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T,3,3> res(0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T,3,3> res(-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T,3,3> res((T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T,3,3> res(-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 3, 1,
1, 1, 2,
2, 3, 4);
const Matrix<T,3,3> res(2, 9, -5,
0, -2, 1,
-1, -3, 2);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,4,4> m(2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T,4,4> res((T)-1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T,4,4> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,2,2> m(4, 3,
3, 2);
const Matrix<T,2,2> res(-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T,3,4> m1(1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T,3,4> m2;
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(TemplateMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromArray3<int>);
CPPUNIT_TEST(initFromArray3<long>);
CPPUNIT_TEST(initFromArray3<unsigned>);
CPPUNIT_TEST(initFromArray3<unsigned long>);
CPPUNIT_TEST(initFromArray3<float>);
CPPUNIT_TEST(initFromArray3<double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(DummyTest);
CPPUNIT_TEST_SUITE_REGISTRATION(TemplateMatrixTest);
class VariableMatrixTest: public CppUnit::TestFixture {
public:
template<typename T>
void initFromArray1() {
Matrix<T> m(2,4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4);
m2 = {2, 4,
1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray2() {
Matrix<T> m(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T> m3(2, 4);
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
Matrix<T> m(2, 4);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m3(2, 4,
1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T> m4(2, 4,
9, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
}
template<typename T>
void operator_plus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1+m2);
const Matrix<T> res(2, 4,
3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1-m2);
const Matrix<T> res(2, 4,
-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T> m1(2, 4,
2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T> m1(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> m2(3, 4,
1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T> m(m1*m2);
const Matrix<T> res(2, 4,
14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T> m(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> res(3, 2,
1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void gauss() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T> res(3,3,
1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T> m1(3, 3,
1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T> m2(3, 2,
1, 0,
0, 1,
0, 0);
const Matrix<T> m3(2, 3,
1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T> m(3, 3,
2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T> res(3, 3,
0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T> res(3, 3,
-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T> res(3, 3,
(T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T> res(3, 3,
-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(4, 4,
2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T> res(4, 4,
(T)-1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(2, 2,
4, 3,
3, 2);
const Matrix<T> res(2, 2,
-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T> m1(3, 4,
1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T> m2(1, 1);
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(VariableMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(VariableMatrixTest);
int main(int argc, char** argv) try {
std::ofstream ofs((*argv+std::string(".xml")).c_str());