Utilities module

Detailed Description

This module contains several common functionalities needed for
G+Smo, for instance point iterators and combinatorial iterators.

Classes
class	gsGenericStopwatch< Clock >
	A Stopwatch object can be used to measure execution time of code, algorithms, etc. More...
class	gsMesh< T >
	Class Representing a triangle mesh with 3D vertices. More...
class	gsSortedVector< T, _A >
	This class is derived from std::vector, and adds sort tracking. More...
struct	remove_pointer< T >
	Remove pointer from type. More...
struct	type< T >
	Print name of template type as a string. More...

Functions
void	capitalize (std::string &str)
	Capitalize string in situ.
bool	ends_with (const std::string &haystack, const std::string &needle)
	Checks if a string haystack ends with the string needle.
template<class T >
gsMatrix< T >	gsPointGrid (gsVector< T > const &a, gsVector< T > const &b, gsVector< unsigned > const &np)
	Construct a Cartesian grid of uniform points in a hypercube, using np[i] points in direction i.
std::string	returnCapitalized (const std::string &str)
	Capitalize string.
bool	starts_with (const std::string &haystack, const std::string &needle)
	Checks if a string haystack begins with the string needle.
void	string_replace (std::string &str, const std::string &oldStr, const std::string &newStr)
	Replaces appearance of oldStr with newStr inside the string str.
template<typename C >
std::string	to_string (const C &value)
	Converts value to string, assuming "operator<<" defined on C.

Function Documentation

gsPointGrid()

template<class T >

gsMatrix< T > gsPointGrid	(	gsVector< T > const &	a,
		gsVector< T > const &	b,
		gsVector< unsigned > const &	np
	)

Construct a Cartesian grid of uniform points in a hypercube, using np[i] points in direction i.

The hypercube is defined by its lower corner \(a = (a_1,\ldots,a_d)\) and the upper corner \(b = (b_1,\ldots,b_d)\), i.e., the hypercube is \( \mathsf{X}_{i=1}^d [a_i,b_i] \).

Parameters

a	gsVector of length d, lower corner of the hypercube: \(a = (a_1,\ldots,a_d)\)
b	gsVector of length d, upper corner of the hypercube: \(b = (b_1,\ldots,b_d)\)
np	gsVector of length d, indicating number of grid points in each coordinate direction

Returns

gsMatrix with size \( d \times \prod_{i=1}^d np[i]\).