Matrix 2x2. More...
Public Member Functions | |
matrix2 () | |
empty constructor (identity) | |
matrix2 (const double &x00, const double &x01, const double &x10, const double &x11) | |
direct constructor with every value | |
const double & | operator() (const size_t &k1, const size_t &k2) const |
Access to the k_th entry (k in [0,1]) | |
double & | operator() (const size_t &k1, const size_t &k2) |
Access to the k_th entry (k in [0,1]) | |
const double * | pointer () const |
fast pointer access | |
double * | pointer_unprotected () |
fast pointer access | |
matrix2 | operator+ (const matrix2 &m2) const |
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matrix2 | operator+ (const double &s) const |
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matrix2 | operator- (const matrix2 &m2) const |
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matrix2 | operator- (const double &s) const |
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matrix2 | operator* (const double &s) const |
multiply by a scalar operator | |
v2 | operator* (const v2 &v) const |
multiply matrix with a v3 | |
matrix2 | operator* (const matrix2 &m2) const |
matrix mulitplication | |
matrix2 | operator/ (const double &s) const |
divide by a scalar operator | |
matrix2 & | operator+= (const matrix2 &m) |
internal + | |
matrix2 & | operator+= (const double &s) |
internal + | |
matrix2 & | operator-= (const matrix2 &m) |
internal - | |
matrix2 & | operator-= (const double &s) |
internal - | |
matrix2 & | operator*= (const double &s) |
internal * | |
matrix2 & | operator/= (const double &s) |
internal / | |
matrix2 | operator- () const |
unary negation | |
matrix2 | product_compontentwise (const matrix2 &m) const |
does componentwise multiplication | |
matrix2 & | product_compontentwise_internal (const matrix2 &m) |
does componentwise multiplication | |
matrix2 | transposed () const |
transpose matrix | |
std::vector< double > | to_vector () const |
convert 3x3 matrix into a vector of double of size 9 | |
Static Public Member Functions | |
static matrix2 | identity () |
build identity matrix | |
static matrix2 | zeros () |
build zero matrix | |
static matrix2 | rotation (const double &angle) |
build rotation matrix | |
static matrix2 | scale (const double &s) |
build scaling matrix | |
static matrix2 | scale (const double &s_x, const double &s_y) |
build scaling matrix | |
Private Member Functions | |
void | assert_size (const size_t &k1, const size_t &k2) const |
assert that a size_t belongs to [[0,1]] | |
Private Attributes | |
double | m [4] |
internal storage of the matrix | |
Matrix 2x2.
cpe::matrix2::matrix2 | ( | ) |
empty constructor (identity)
References m.
Referenced by identity(), operator+(), operator-(), operator/(), product_compontentwise(), rotation(), scale(), transposed(), and zeros().
cpe::matrix2::matrix2 | ( | const double & | x00, |
const double & | x01, | ||
const double & | x10, | ||
const double & | x11 | ||
) |
direct constructor with every value
References m.
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private |
assert that a size_t belongs to [[0,1]]
Referenced by operator()().
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static |
const double & cpe::matrix2::operator() | ( | const size_t & | k1, |
const size_t & | k2 | ||
) | const |
Access to the k_th entry (k in [0,1])
References assert_size(), and m.
double & cpe::matrix2::operator() | ( | const size_t & | k1, |
const size_t & | k2 | ||
) |
Access to the k_th entry (k in [0,1])
References assert_size(), and m.
matrix2 cpe::matrix2::operator* | ( | const double & | s | ) | const |
multiply by a scalar operator
multiply matrix with a v3
References m, cpe::v2::x(), and cpe::v2::y().
matrix mulitplication
References m, pointer_unprotected(), and zeros().
matrix2 cpe::matrix2::operator+ | ( | const double & | s | ) | const |
matrix2 cpe::matrix2::operator- | ( | const double & | s | ) | const |
matrix2 cpe::matrix2::operator- | ( | ) | const |
matrix2 cpe::matrix2::operator/ | ( | const double & | s | ) | const |
const double * cpe::matrix2::pointer | ( | ) | const |
fast pointer access
References m.
Referenced by cpe::operator-(), and cpe::operator<<().
double * cpe::matrix2::pointer_unprotected | ( | ) |
fast pointer access
References m.
Referenced by operator*().
does componentwise multiplication
References m.
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std::vector< double > cpe::matrix2::to_vector | ( | ) | const |
convert 3x3 matrix into a vector of double of size 9
References m.
matrix2 cpe::matrix2::transposed | ( | ) | const |
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static |
build zero matrix
References matrix2().
Referenced by operator*().
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private |
internal storage of the matrix
Referenced by matrix2(), operator()(), operator*(), operator*=(), operator+(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), pointer(), pointer_unprotected(), product_compontentwise(), product_compontentwise_internal(), to_vector(), and transposed().