File that contains various utility functions. More...
Namespaces | |
| OFELI | |
| A namespace to group all library classes, functions, ... | |
Functions | |
| int | Sgn (real_t a) |
Return sign of a: -1 or 1. | |
| real_t | Sgn (real_t a, real_t b) |
Return |a| if b>0, -|a| if not. | |
| real_t | Abs2 (complex_t a) |
Return square of modulus of complex number a | |
| real_t | Abs2 (real_t a) |
Return square of real number a | |
| real_t | Abs (real_t a) |
Return absolute value of a | |
| real_t | Abs (complex_t a) |
Return modulus of complex number a | |
| real_t | Abs (const Point< real_t > &p) |
Return norm of vector a | |
| real_t | Conjg (real_t a) |
Return complex conjugate of real number a | |
| complex_t | Conjg (complex_t a) |
Return complex conjugate of complex number a | |
| string | out_complex (complex_t z) |
| Return string to conveniently display a complex number. More... | |
| string | out_complex (real_t x, real_t y) |
| Return string to conviently display a complex number. More... | |
| real_t | Max (real_t a, real_t b, real_t c) |
Return maximum value of real numbers a, b and c | |
| int | Kronecker (int i, int j) |
Return Kronecker delta of i and j. | |
| template<class T_ > | |
| const T_ & | Max (const T_ &a, const T_ &b) |
Return maximum value of elements a and b | |
| template<class T_ > | |
| const T_ & | Min (const T_ &a, const T_ &b) |
Return minimum value of elements a and b | |
| int | Max (int a, int b, int c) |
Return maximum value of integer numbers a, b and c | |
| real_t | Min (real_t a, real_t b, real_t c) |
Return minimum value of real numbers a, b and c | |
| int | Min (int a, int b, int c) |
Return minimum value of integer numbers a, b and c | |
| real_t | Max (real_t a, real_t b, real_t c, real_t d) |
Return maximum value of integer numbers a, b, c and d | |
| int | Max (int a, int b, int c, int d) |
Return maximum value of integer numbers a, b, c and d | |
| real_t | Min (real_t a, real_t b, real_t c, real_t d) |
Return minimum value of real numbers a, b, c and d | |
| int | Min (int a, int b, int c, int d) |
Return minimum value of integer numbers a, b, c and d | |
| real_t | Arg (complex_t x) |
Return argument of complex number x | |
| complex_t | Log (complex_t x) |
Return principal determination of logarithm of complex number x | |
| template<class T_ > | |
| T_ | Sqr (T_ x) |
Return square of value x | |
| template<class T_ > | |
| void | Scale (T_ a, const vector< T_ > &x, vector< T_ > &y) |
Mutiply vector x by a and save result in vector y More... | |
| template<class T_ > | |
| void | Scale (T_ a, const Vect< T_ > &x, Vect< T_ > &y) |
Mutiply vector x by a and save result in vector y More... | |
| template<class T_ > | |
| void | Scale (T_ a, vector< T_ > &x) |
Mutiply vector x by a More... | |
| template<class T_ > | |
| void | Xpy (size_t n, T_ *x, T_ *y) |
Add array x to y | |
| template<class T_ > | |
| void | Xpy (const vector< T_ > &x, vector< T_ > &y) |
Add vector x to y More... | |
| template<class T_ > | |
| void | Axpy (size_t n, T_ a, T_ *x, T_ *y) |
Multiply array x by a and add result to y More... | |
| template<class T_ > | |
| void | Axpy (T_ a, const vector< T_ > &x, vector< T_ > &y) |
Multiply vector x by a and add result to y More... | |
| template<class T_ > | |
| void | Copy (size_t n, T_ *x, T_ *y) |
Copy array x to y n is the arrays size. | |
| real_t | Error2 (const vector< real_t > &x, const vector< real_t > &y) |
Return absolute L2 error between vectors x and y | |
| real_t | RError2 (const vector< real_t > &x, const vector< real_t > &y) |
Return absolute L2 error between vectors x and y | |
| real_t | ErrorMax (const vector< real_t > &x, const vector< real_t > &y) |
Return absolute Max. error between vectors x and y | |
| real_t | RErrorMax (const vector< real_t > &x, const vector< real_t > &y) |
Return relative Max. error between vectors x and y | |
| template<class T_ > | |
| T_ | Dot (size_t n, T_ *x, T_ *y) |
Return dot product of arrays x and y More... | |
| real_t | Dot (const vector< real_t > &x, const vector< real_t > &y) |
Return dot product of vectors x and y. More... | |
| real_t | operator* (const vector< real_t > &x, const vector< real_t > &y) |
| Operator * (Dot product of 2 vector instances) More... | |
| template<class T_ > | |
| T_ | Dot (const Point< T_ > &x, const Point< T_ > &y) |
Return dot product of x and y | |
| real_t | exprep (real_t x) |
| Compute the exponential function with avoiding over and underflows. | |
| template<class T_ > | |
| void | Assign (vector< T_ > &v, const T_ &a) |
Assign the value a to all entries of a vector v | |
| template<class T_ > | |
| void | clear (vector< T_ > &v) |
Assign 0 to all entries of a vector. More... | |
| template<class T_ > | |
| void | clear (Vect< T_ > &v) |
Assign 0 to all entries of a vector. More... | |
| real_t | Nrm2 (size_t n, real_t *x) |
Return 2-norm of array x More... | |
| real_t | Nrm2 (const vector< real_t > &x) |
Return 2-norm of vector x | |
| template<class T_ > | |
| real_t | Nrm2 (const Point< T_ > &a) |
Return 2-norm of a | |
| bool | Equal (real_t x, real_t y, real_t toler=OFELI_EPSMCH) |
Function to return true if numbers x and y are close up to a given tolerance toler More... | |
| char | itoc (int i) |
| Function to convert an integer to a character. | |
| template<class T_ > | |
| std::string | toString (const T_ x) |
| Function to convert any value to a string. | |
| template<class T_ > | |
| T_ | stringTo (const std::string &s) |
| Function to convert a string to a template type parameter. | |
File that contains various utility functions.