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elem_math.h File Reference

Elementary mathematical functions - header file. More...

#include <itpp/config.h>
#include <itpp/base/help_functions.h>
#include <itpp/base/converters.h>
#include <cstdlib>

Go to the source code of this file.


Namespaces

namespace  itpp
 itpp namespace

Functions

double tgamma (double x)
 True gamma function.
double lgamma (double x)
 Lograrithm of an absolute gamma function.
double cbrt (double x)
 Cubic root.
double itpp::sqr (double x)
 Square of x.
double itpp::sqr (const std::complex< double > &x)
 Absolute square of complex-valued x, ||x||^2.
vec itpp::sqr (const vec &x)
 Square of elements.
mat itpp::sqr (const mat &x)
 Square of elements.
vec itpp::sqr (const cvec &x)
 Absolute square of elements.
mat itpp::sqr (const cmat &x)
 Absolute square of elements.
vec itpp::abs (const vec &x)
 Absolute value.
mat itpp::abs (const mat &x)
 Absolute value.
ivec itpp::abs (const ivec &x)
 Absolute value.
imat itpp::abs (const imat &x)
 Absolute value.
vec itpp::abs (const cvec &x)
 Absolute value.
mat itpp::abs (const cmat &x)
 Absolute value.
double itpp::sign (double x)
 Signum function.
vec itpp::sign (const vec &x)
 Signum function.
mat itpp::sign (const mat &x)
 Signum function.
double itpp::sgn (double x)
 Signum function.
vec itpp::sgn (const vec &x)
 Signum function.
mat itpp::sgn (const mat &x)
 Signum function.
int itpp::sign_i (int x)
 Signum function.
ivec itpp::sign_i (const ivec &x)
 Signum function.
imat itpp::sign_i (const imat &x)
 Signum function.
int itpp::sgn_i (int x)
 Signum function.
ivec itpp::sgn_i (const ivec &x)
 Signum function.
imat itpp::sgn_i (const imat &x)
 Signum function.
int itpp::sign_i (double x)
 Signum function.
vec itpp::sqrt (const vec &x)
 Square root of the elements.
mat itpp::sqrt (const mat &x)
 Square root of the elements.
double itpp::gamma (double x)
 Deprecated gamma function - please use tgamma() instead.
vec itpp::gamma (const vec &x)
 Deprecated gamma function for vectors. Will be changed to tgamma().
mat itpp::gamma (const mat &x)
 Deprecated gamma function for matrices. Will be changed to tgamma().
double itpp::rem (double x, double y)
 The reminder of the division x/y.
vec itpp::rem (const vec &x, double y)
 Elementwise reminder of the division x/y for vec and double.
vec itpp::rem (double x, const vec &y)
 Elementwise reminder of the division x/y for double and vec.
mat itpp::rem (const mat &x, double y)
 Elementwise reminder of the division x/y for mat and double.
mat itpp::rem (double x, const mat &y)
 Elementwise reminder of the division x/y for double and mat.
int itpp::mod (int k, int n)
 Calculates the modulus, i.e. the signed reminder after division.
double itpp::fact (int index)
 Calculates factorial coefficient for index <= 170.
double itpp::binom (int n, int k)
 Compute the binomial coefficient "n over k".
int itpp::binom_i (int n, int k)
 Compute the binomial coefficient "n over k".
double itpp::log_binom (int n, int k)
 Compute the base 10 logarithm of the binomial coefficient "n over k".
int itpp::gcd (int a, int b)
 Compute the greatest common divisor (GCD) g of the elements a and b.
vec itpp::real (const cvec &x)
 Real part of complex values.
mat itpp::real (const cmat &x)
 Real part of complex values.
vec itpp::imag (const cvec &x)
 Imaginary part of complex values.
mat itpp::imag (const cmat &x)
 Imaginary part of complex values.
vec itpp::arg (const cvec &x)
 Argument (angle).
mat itpp::arg (const cmat &x)
 Argument (angle).
vec itpp::angle (const cvec &x)
 Angle.
mat itpp::angle (const cmat &x)
 Angle.
cvec itpp::conj (const cvec &x)
 Conjugate of complex value.
cmat itpp::conj (const cmat &x)
 Conjugate of complex value.

Variables

int signgam
 Global variable needed by lgamma function.


Detailed Description

Elementary mathematical functions - header file.

Author:
Tony Ottosson and Adam Piatyszek
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IT++ - C++ library of mathematical, signal processing, speech processing, and communications classes and functions

Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

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Definition in file elem_math.h.

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