Matrix 3x3. More...
Public Member Functions | |
matrix3 () | |
empty constructor (identity) More... | |
matrix3 (const double &x00, const double &x01, const double &x02, const double &x10, const double &x11, const double &x12, const double &x20, const double &x21, const double &x22) | |
direct constructor with every value More... | |
const double & | operator() (const size_t &k1, const size_t &k2) const |
Access to the k_th entry (k in [0,2]) More... | |
double & | operator() (const size_t &k1, const size_t &k2) |
Access to the k_th entry (k in [0,2]) More... | |
const double * | pointer () const |
fast pointer access More... | |
double * | pointer_unprotected () |
fast pointer access More... | |
matrix3 | operator+ (const matrix3 &m2) const |
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matrix3 | operator+ (const double &s) const |
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matrix3 | operator- (const matrix3 &m2) const |
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matrix3 | operator- (const double &s) const |
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matrix3 | operator* (const double &s) const |
multiply by a scalar operator More... | |
vec3 | operator* (const vec3 &v) const |
multiply matrix with a v3 More... | |
matrix3 | operator* (const matrix3 &m2) const |
matrix mulitplication More... | |
matrix3 | operator/ (const double &s) const |
divide by a scalar operator More... | |
matrix3 & | operator+= (const matrix3 &m) |
internal + More... | |
matrix3 & | operator+= (const double &s) |
internal + More... | |
matrix3 & | operator-= (const matrix3 &m) |
internal - More... | |
matrix3 & | operator-= (const double &s) |
internal - More... | |
matrix3 & | operator*= (const double &s) |
internal * More... | |
matrix3 & | operator/= (const double &s) |
internal / More... | |
matrix3 | operator- () const |
unary negation More... | |
matrix3 | product_compontentwise (const matrix3 &m) const |
does componentwise multiplication More... | |
matrix3 & | product_compontentwise_internal (const matrix3 &m) |
does componentwise multiplication More... | |
matrix3 | transposed () const |
transpose matrix More... | |
std::vector< double > | to_vector () const |
convert 3x3 matrix into a vector of double of size 9 More... | |
Static Public Member Functions | |
static matrix3 | identity () |
build identity matrix More... | |
static matrix3 | zeros () |
build zero matrix More... | |
static matrix3 | rotation (const vec3 &axis, const double &angle) |
build rotation matrix More... | |
static matrix3 | scale (const double &s) |
build scaling matrix More... | |
static matrix3 | scale (const double &s_x, const double &s_y, const double &s_z) |
build scaling matrix More... | |
Private Member Functions | |
void | assert_size (const size_t &k1, const size_t &k2) const |
assert that a size_t belongs to [[0,2]] More... | |
Private Attributes | |
double | m [9] |
internal storage of the matrix More... | |
Matrix 3x3.
cpe::matrix3::matrix3 | ( | ) |
empty constructor (identity)
References m.
Referenced by identity(), operator-(), operator/(), product_compontentwise(), rotation(), scale(), transposed(), and zeros().
cpe::matrix3::matrix3 | ( | const double & | x00, |
const double & | x01, | ||
const double & | x02, | ||
const double & | x10, | ||
const double & | x11, | ||
const double & | x12, | ||
const double & | x20, | ||
const double & | x21, | ||
const double & | x22 | ||
) |
direct constructor with every value
References m.
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private |
assert that a size_t belongs to [[0,2]]
Referenced by operator()().
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const double & cpe::matrix3::operator() | ( | const size_t & | k1, |
const size_t & | k2 | ||
) | const |
Access to the k_th entry (k in [0,2])
References assert_size(), and m.
double & cpe::matrix3::operator() | ( | const size_t & | k1, |
const size_t & | k2 | ||
) |
Access to the k_th entry (k in [0,2])
References assert_size(), and m.
matrix3 cpe::matrix3::operator* | ( | const double & | s | ) | const |
multiply by a scalar operator
multiply matrix with a v3
References m, cpe::vec3::x(), cpe::vec3::y(), and cpe::vec3::z().
matrix mulitplication
References m, pointer_unprotected(), and zeros().
matrix3 cpe::matrix3::operator+ | ( | const double & | s | ) | const |
matrix3 cpe::matrix3::operator- | ( | const double & | s | ) | const |
matrix3 cpe::matrix3::operator- | ( | ) | const |
matrix3 cpe::matrix3::operator/ | ( | const double & | s | ) | const |
const double * cpe::matrix3::pointer | ( | ) | const |
fast pointer access
References m.
Referenced by operator-(), cpe::operator-(), and cpe::operator<<().
double * cpe::matrix3::pointer_unprotected | ( | ) |
does componentwise multiplication
References m.
build rotation matrix
References matrix3(), and cpe::vec3::normalized().
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std::vector< double > cpe::matrix3::to_vector | ( | ) | const |
convert 3x3 matrix into a vector of double of size 9
References m.
matrix3 cpe::matrix3::transposed | ( | ) | const |
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static |
build zero matrix
References matrix3().
Referenced by operator*().
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private |
internal storage of the matrix
Referenced by matrix3(), operator()(), operator*(), operator*=(), operator+=(), operator-(), operator-=(), operator/(), operator/=(), pointer(), pointer_unprotected(), product_compontentwise(), product_compontentwise_internal(), to_vector(), and transposed().