log_exp.h File Reference

Logarithmic and exponenential functions - header file. More...

`#include <cmath>`
`#include <itpp/base/help_functions.h>`
`#include <itpp/itexports.h>`

Go to the source code of this file.

## Namespaces

namespace | itpp
| itpp namespace

## Functions

double | itpp::logb (double b, double x)
| Base-b logarithm.
int | itpp::pow2i (int x)
| Calculate two to the power of x (2^x); x is integer.
double | itpp::pow2 (double x)
| Calculate two to the power of x (2^x)
double | itpp::pow2 (int x)
| Calculate two to the power of x (2^x) for large integer x.
double | itpp::pow10 (double x)
| Calculate ten to the power of x (10^x)
double | itpp::dB (double x)
| Decibel of x (10*log10(x))
double | itpp::inv_dB (double x)
| Inverse of decibel of x.
int | itpp::int2bits (int n)
| Calculate the number of bits needed to represent an integer `n`.
int | itpp::levels2bits (int n)
| Calculate the number of bits needed to represent `n` different values (levels).
double | itpp::trunc_log (double x)
| Truncated natural logarithm function.
double | itpp::trunc_exp (double x)
| Truncated exponential function.
double | itpp::log_add (double log_a, double log_b)
| Safe substitute for `log(exp(log_a) + exp(log_b))`
vec | itpp::exp (const vec &x)
| Exp of the elements of a vector `x`.
cvec | itpp::exp (const cvec &x)
| Exp of the elements of a complex vector `x`.
mat | itpp::exp (const mat &m)
| Exp of the elements of a matrix `m`.
cmat | itpp::exp (const cmat &m)
| Exp of the elements of a complex matrix `m`.
vec | itpp::pow (const double x, const vec &y)
| Calculates x to the power of y (x^y)
mat | itpp::pow (const double x, const mat &y)
| Calculates x to the power of y (x^y)
vec | itpp::pow (const vec &x, const double y)
| Calculates x to the power of y (x^y)
mat | itpp::pow (const mat &x, const double y)
| Calculates x to the power of y (x^y)
vec | itpp::pow2 (const vec &x)
| Calculates two to the power of x (2^x)
vec | itpp::pow2 (const ivec &x)
| Calculates two to the power of x (2^x) for integer x.
mat | itpp::pow2 (const mat &x)
| Calculates two to the power of x (2^x)
mat | itpp::pow2 (const imat &x)
| Calculates two to the power of x (2^x) for integer x.
vec | itpp::pow10 (const vec &x)
| Calculates ten to the power of x (10^x)
mat | itpp::pow10 (const mat &x)
| Calculates ten to the power of x (10^x)
vec | itpp::log (const vec &x)
| The natural logarithm of the elements.
mat | itpp::log (const mat &x)
| The natural logarithm of the elements.
cvec | itpp::log (const cvec &x)
| The natural logarithm of the elements.
cmat | itpp::log (const cmat &x)
| The natural logarithm of the elements.
vec | itpp::log2 (const vec &x)
| log-2 of the elements
mat | itpp::log2 (const mat &x)
| log-2 of the elements
vec | itpp::log10 (const vec &x)
| log-10 of the elements
mat | itpp::log10 (const mat &x)
| log-10 of the elements
vec | itpp::logb (double b, const vec &x)
| log-b of `x`
mat | itpp::logb (double b, const mat &x)
| log-b of `x`
vec | itpp::dB (const vec &x)
| Calculates 10*log10(x)
mat | itpp::dB (const mat &x)
| Calculates 10*log10(x)
vec | itpp::inv_dB (const vec &x)
| Calulates the inverse of dB, 10^(x/10)
mat | itpp::inv_dB (const mat &x)
| Calculates the inverse of dB, 10^(x/10)
ivec | itpp::int2bits (const ivec &v)
| Calculate the number of bits needed to represent each integer in a vector.
ivec | itpp::levels2bits (const ivec &v)
| Calculate the number of bits needed to represent a numer of levels saved in a vector.

## Variables

const double | itpp::log_double_max = std::log(std::numeric_limits<double>::max())
| Constant definition to speed up trunc_log() and trunc_exp()
const double | itpp::log_double_min = std::log(std::numeric_limits<double>::min())
| Constant definition to speed up trunc_log(), trunc_exp() and log_add()

## Detailed Description

Logarithmic and exponenential functions - header file.

Author
  Tony Ottosson, Adam Piatyszek and Conrad Sanderson

Copyright (C) 1995-2010 (see AUTHORS file for a list of contributors)

This file is part of IT++ - a C++ library of mathematical, signal processing, speech processing, and communications classes and functions.

IT++ 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 3 of the License, or (at your option) any later version.

IT++ 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 IT++. If not, see http://www.gnu.org/licenses/.

Definition in file log_exp.h.

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