Mercurial > octave
view liboctave/numeric/lo-specfun.h @ 23219:3ac9f9ecfae5 stable
maint: Update copyright dates.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Wed, 22 Feb 2017 12:39:29 -0500 |
parents | e9a0469dedd9 |
children | 092078913d54 |
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/* Copyright (C) 1996-2017 John W. Eaton Copyright (C) 2010 VZLU Prague This file is part of Octave. Octave 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. Octave 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 Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #if ! defined (octave_lo_specfun_h) #define octave_lo_specfun_h 1 #include "octave-config.h" #include "oct-cmplx.h" #include "Array.h" class Matrix; class ComplexMatrix; class NDArray; class ComplexNDArray; class RowVector; class ComplexColumnVector; class FloatMatrix; class FloatComplexMatrix; class FloatNDArray; class FloatComplexNDArray; class FloatRowVector; class FloatComplexColumnVector; class Range; namespace octave { namespace math { extern OCTAVE_API double acosh (double x); extern OCTAVE_API float acosh (float x); extern OCTAVE_API Complex acosh (const Complex& x); extern OCTAVE_API FloatComplex acosh (const FloatComplex& x); extern OCTAVE_API double asinh (double x); extern OCTAVE_API float asinh (float x); extern OCTAVE_API Complex asinh (const Complex& x); extern OCTAVE_API FloatComplex asinh (const FloatComplex& x); extern OCTAVE_API double atanh (double x); extern OCTAVE_API float atanh (float x); extern OCTAVE_API Complex atanh (const Complex& x); extern OCTAVE_API FloatComplex atanh (const FloatComplex& x); extern OCTAVE_API double erf (double x); extern OCTAVE_API float erf (float x); extern OCTAVE_API Complex erf (const Complex& x); extern OCTAVE_API FloatComplex erf (const FloatComplex& x); extern OCTAVE_API double erfc (double x); extern OCTAVE_API float erfc (float x); extern OCTAVE_API Complex erfc (const Complex& x); extern OCTAVE_API FloatComplex erfc (const FloatComplex& x); extern OCTAVE_API double expm1 (double x); extern OCTAVE_API Complex expm1 (const Complex& x); extern OCTAVE_API float expm1 (float x); extern OCTAVE_API FloatComplex expm1 (const FloatComplex& x); extern OCTAVE_API double log1p (double x); extern OCTAVE_API Complex log1p (const Complex& x); extern OCTAVE_API float log1p (float x); extern OCTAVE_API FloatComplex log1p (const FloatComplex& x); extern OCTAVE_API double cbrt (double x); extern OCTAVE_API float cbrt (float x); extern OCTAVE_API double gamma (double x); extern OCTAVE_API double lgamma (double x); extern OCTAVE_API Complex rc_lgamma (double x); extern OCTAVE_API float gamma (float x); extern OCTAVE_API float lgamma (float x); extern OCTAVE_API FloatComplex rc_lgamma (float x); extern OCTAVE_API Complex besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API ComplexMatrix besselj (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix bessely (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besseli (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselk (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh1 (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh2 (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselj (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray bessely (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besseli (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselk (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh1 (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh2 (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplex besselj (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex bessely (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex besseli (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex besselk (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex besselh1 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex besselh2 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplexMatrix besselj (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix bessely (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besseli (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselk (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh1 (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh2 (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselj (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray bessely (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besseli (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselk (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh1 (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh2 (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselj (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix bessely (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besseli (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselk (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr); extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr); extern OCTAVE_API ComplexMatrix airy (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexMatrix biry (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray airy (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API ComplexNDArray biry (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplex airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplex biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr); extern OCTAVE_API FloatComplexMatrix airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexMatrix biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray airy (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API FloatComplexNDArray biry (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); extern OCTAVE_API double betainc (double x, double a, double b); extern OCTAVE_API Array<double> betainc (double x, double a, const Array<double>& b); extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, double b); extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, const Array<double>& b); extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, double b); extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, const Array<double>& b); extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, double b); extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b); extern OCTAVE_API float betainc (float x, float a, float b); extern OCTAVE_API Array<float> betainc (float x, float a, const Array<float>& b); extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, float b); extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, const Array<float>& b); extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, float b); extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, const Array<float>& b); extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, float b); extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, const Array<float>& b); extern OCTAVE_API double gammainc (double x, double a, bool& err); inline double gammainc (double x, double a) { bool err; return gammainc (x, a, err); } extern OCTAVE_API Matrix gammainc (double x, const Matrix& a); extern OCTAVE_API Matrix gammainc (const Matrix& x, double a); extern OCTAVE_API Matrix gammainc (const Matrix& x, const Matrix& a); extern OCTAVE_API NDArray gammainc (double x, const NDArray& a); extern OCTAVE_API NDArray gammainc (const NDArray& x, double a); extern OCTAVE_API NDArray gammainc (const NDArray& x, const NDArray& a); extern OCTAVE_API float gammainc (float x, float a, bool& err); inline float gammainc (float x, float a) { bool err; return gammainc (x, a, err); } extern OCTAVE_API FloatMatrix gammainc (float x, const FloatMatrix& a); extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, float a); extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, const FloatMatrix& a); extern OCTAVE_API FloatNDArray gammainc (float x, const FloatNDArray& a); extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, float a); extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, const FloatNDArray& a); extern OCTAVE_API Complex rc_log1p (double x); extern OCTAVE_API FloatComplex rc_log1p (float x); extern OCTAVE_API double erfinv (double x); extern OCTAVE_API float erfinv (float x); extern OCTAVE_API double erfcinv (double x); extern OCTAVE_API float erfcinv (float x); extern OCTAVE_API float erfcx (float x); extern OCTAVE_API double erfcx (double x); extern OCTAVE_API Complex erfcx (const Complex& x); extern OCTAVE_API FloatComplex erfcx (const FloatComplex& x); extern OCTAVE_API float erfi (float x); extern OCTAVE_API double erfi (double x); extern OCTAVE_API Complex erfi (const Complex& x); extern OCTAVE_API FloatComplex erfi (const FloatComplex& x); extern OCTAVE_API float dawson (float x); extern OCTAVE_API double dawson (double x); extern OCTAVE_API Complex dawson (const Complex& x); extern OCTAVE_API FloatComplex dawson (const FloatComplex& x); extern OCTAVE_API double betaincinv (double x, double a, double b); extern OCTAVE_API Array<double> betaincinv (double x, double a, const Array<double>& b); extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, double b); extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, const Array<double>& b); extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, double b); extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, const Array<double>& b); extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, double b); extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, const Array<double>& b); extern OCTAVE_API void ellipj (double u, double m, double& sn, double& cn, double& dn, double& err); extern OCTAVE_API void ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn, double& err); extern OCTAVE_API double psi (double x); extern OCTAVE_API float psi (float x); extern OCTAVE_API Complex psi (const Complex& x); extern OCTAVE_API FloatComplex psi (const FloatComplex& x); extern OCTAVE_API double psi (octave_idx_type n, double z); extern OCTAVE_API float psi (octave_idx_type n, float z); } } #if defined (OCTAVE_USE_DEPRECATED_FUNCTIONS) OCTAVE_DEPRECATED ("use 'octave::math::acosh' instead") inline double xacosh (double x) { return octave::math::acosh (x); } OCTAVE_DEPRECATED ("use 'octave::math::acosh' instead") inline float xacosh (float x) { return octave::math::acosh (x); } OCTAVE_DEPRECATED ("use 'octave::math::acosh' instead") inline Complex xacosh (const Complex& x) { return octave::math::acosh (x); } OCTAVE_DEPRECATED ("use 'octave::math::acosh' instead") inline FloatComplex xacosh (const FloatComplex& x) { return octave::math::acosh (x); } OCTAVE_DEPRECATED ("use 'octave::math::asinh' instead") inline double xasinh (double x) { return octave::math::asinh (x); } OCTAVE_DEPRECATED ("use 'octave::math::asinh' instead") inline float xasinh (float x) { return octave::math::asinh (x); } OCTAVE_DEPRECATED ("use 'octave::math::asinh' instead") inline Complex xasinh (const Complex& x) { return octave::math::asinh (x); } OCTAVE_DEPRECATED ("use 'octave::math::asinh' instead") inline FloatComplex xasinh (const FloatComplex& x) { return octave::math::asinh (x); } OCTAVE_DEPRECATED ("use 'octave::math::atanh' instead") inline double xatanh (double x) { return octave::math::atanh (x); } OCTAVE_DEPRECATED ("use 'octave::math::atanh' instead") inline float xatanh (float x) { return octave::math::atanh (x); } OCTAVE_DEPRECATED ("use 'octave::math::atanh' instead") inline Complex xatanh (const Complex& x) { return octave::math::atanh (x); } OCTAVE_DEPRECATED ("use 'octave::math::atanh' instead") inline FloatComplex xatanh (const FloatComplex& x) { return octave::math::atanh (x); } OCTAVE_DEPRECATED ("use 'octave::math::erf' instead") inline double xerf (double x) { return octave::math::erf (x); } OCTAVE_DEPRECATED ("use 'octave::math::erf' instead") inline float xerf (float x) { return octave::math::erf (x); } OCTAVE_DEPRECATED ("use 'octave::math::erf' instead") inline Complex xerf (const Complex& x) { return octave::math::erf (x); } OCTAVE_DEPRECATED ("use 'octave::math::erf' instead") inline FloatComplex xerf (const FloatComplex& x) { return octave::math::erf (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfc' instead") inline double xerfc (double x) { return octave::math::erfc (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfc' instead") inline float xerfc (float x) { return octave::math::erfc (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfc' instead") inline Complex xerfc (const Complex& x) { return octave::math::erfc (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfc' instead") inline FloatComplex xerfc (const FloatComplex& x) { return octave::math::erfc (x); } OCTAVE_DEPRECATED ("use 'octave::math::expm1' instead") inline double xexpm1 (double x) { return octave::math::expm1 (x); } OCTAVE_DEPRECATED ("use 'octave::math::expm1' instead") inline Complex xexpm1 (const Complex& x) { return octave::math::expm1 (x); } OCTAVE_DEPRECATED ("use 'octave::math::expm1' instead") inline float xexpm1 (float x) { return octave::math::expm1 (x); } OCTAVE_DEPRECATED ("use 'octave::math::expm1' instead") inline FloatComplex xexpm1 (const FloatComplex& x) { return octave::math::expm1 (x); } OCTAVE_DEPRECATED ("use 'octave::math::log1p' instead") inline double xlog1p (double x) { return octave::math::log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::log1p' instead") inline Complex xlog1p (const Complex& x) { return octave::math::log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::log1p' instead") inline float xlog1p (float x) { return octave::math::log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::log1p' instead") inline FloatComplex xlog1p (const FloatComplex& x) { return octave::math::log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::cbrt' instead") inline double xcbrt (double x) { return octave::math::cbrt (x); } OCTAVE_DEPRECATED ("use 'octave::math::cbrt' instead") inline float xcbrt (float x) { return octave::math::cbrt (x); } OCTAVE_DEPRECATED ("use 'octave::math::gamma' instead") inline double xgamma (double x) { return octave::math::gamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::lgamma' instead") inline double xlgamma (double x) { return octave::math::lgamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::rc_lgamma' instead") inline Complex rc_lgamma (double x) { return octave::math::rc_lgamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::gamma' instead") inline float xgamma (float x) { return octave::math::gamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::lgamma' instead") inline float xlgamma (float x) { return octave::math::lgamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::rc_lgamma' instead") inline FloatComplex rc_lgamma (float x) { return octave::math::rc_lgamma (x); } OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") inline Complex besselj (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselj (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") inline Complex bessely (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::bessely (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") inline Complex besseli (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besseli (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") inline Complex besselk (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselk (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") inline Complex besselh1 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselh1 (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") inline Complex besselh2 (double alpha, const Complex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselh2 (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexMatrix besselj (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexMatrix bessely (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexMatrix besseli (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexMatrix besselk (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexMatrix besselh1 (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexMatrix besselh2 (double alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexNDArray besselj (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexNDArray bessely (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexNDArray besseli (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexNDArray besselk (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexNDArray besselh1 (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexNDArray besselh2 (double alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha, const Complex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha, const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API ComplexMatrix besselj (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API ComplexMatrix bessely (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API ComplexMatrix besseli (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API ComplexMatrix besselk (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API ComplexMatrix besselh1 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API ComplexMatrix besselh2 (const RowVector& alpha, const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") inline FloatComplex besselj (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselj (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octavh::bessely' instead") inline FloatComplex bessely (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::bessely (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octavh::besseli' instead") inline FloatComplex besseli (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besseli (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octavh::besselk' instead") inline FloatComplex besselk (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselk (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octavh::besselh1' instead") inline FloatComplex besselh1 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselh1 (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octavh::besselh2' instead") inline FloatComplex besselh2 (float alpha, const FloatComplex& x, bool scaled, octave_idx_type& ierr) { return octave::math::besselh2 (alpha, x, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexMatrix besselj (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexMatrix bessely (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexMatrix besseli (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexMatrix besselk (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexMatrix besselh1 (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexMatrix besselh2 (float alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha, const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexNDArray besselj (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexNDArray bessely (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexNDArray besseli (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexNDArray besselk (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexNDArray besselh1 (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexNDArray besselh2 (float alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha, const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha, const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselj' instead") extern OCTAVE_API FloatComplexMatrix besselj (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::bessely' instead") extern OCTAVE_API FloatComplexMatrix bessely (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besseli' instead") extern OCTAVE_API FloatComplexMatrix besseli (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselk' instead") extern OCTAVE_API FloatComplexMatrix besselk (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh1' instead") extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::besselh2' instead") extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatRowVector& alpha, const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") inline Complex airy (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) { return octave::math::airy (z, deriv, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") inline Complex biry (const Complex& z, bool deriv, bool scaled, octave_idx_type& ierr) { return octave::math::biry (z, deriv, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") extern OCTAVE_API ComplexMatrix airy (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") extern OCTAVE_API ComplexMatrix biry (const ComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") extern OCTAVE_API ComplexNDArray airy (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") extern OCTAVE_API ComplexNDArray biry (const ComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") inline FloatComplex airy (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) { return octave::math::airy (z, deriv, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") inline FloatComplex biry (const FloatComplex& z, bool deriv, bool scaled, octave_idx_type& ierr) { return octave::math::biry (z, deriv, scaled, ierr); } OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") extern OCTAVE_API FloatComplexMatrix airy (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") extern OCTAVE_API FloatComplexMatrix biry (const FloatComplexMatrix& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::airy' instead") extern OCTAVE_API FloatComplexNDArray airy (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::biry' instead") extern OCTAVE_API FloatComplexNDArray biry (const FloatComplexNDArray& z, bool deriv, bool scaled, Array<octave_idx_type>& ierr); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") inline double betainc (double x, double a, double b) { return octave::math::betainc (x, a, b); } OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (double x, double a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (double x, const Array<double>& a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") inline float betainc (float x, float a, float b) { return octave::math::betainc (x, a, b); } OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (const Array<double>& x, double a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<double> betainc (const Array<double>& x, const Array<double>& a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API float betainc (float x, float a, float b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (float x, float a, const Array<float>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, float b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (float x, const Array<float>& a, const Array<float>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, float b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (const Array<float>& x, float a, const Array<float>& b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, float b); OCTAVE_DEPRECATED ("use 'octave::math::betainc' instead") extern OCTAVE_API Array<float> betainc (const Array<float>& x, const Array<float>& a, const Array<float>& b); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") inline double gammainc (double x, double a, bool& err) { return octave::math::gammainc (x, a, err); } OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") inline double gammainc (double x, double a) { return octave::math::gammainc (x, a); } OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") extern OCTAVE_API Matrix gammainc (double x, const Matrix& a); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") extern OCTAVE_API Matrix gammainc (const Matrix& x, double a); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") extern OCTAVE_API Matrix gammainc (const Matrix& x, const Matrix& a); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") extern OCTAVE_API NDArray gammainc (double x, const NDArray& a); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") extern OCTAVE_API NDArray gammainc (const NDArray& x, double a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API NDArray gammainc (const NDArray& x, const NDArray& a); OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") inline float gammainc (float x, float a, bool& err) { return octave::math::gammainc (x, a, err); } OCTAVE_DEPRECATED ("use 'octave::math::gammainc' instead") inline float gammainc (float x, float a) { return octave::math::gammainc (x, a); } OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatMatrix gammainc (float x, const FloatMatrix& a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, float a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatMatrix gammainc (const FloatMatrix& x, const FloatMatrix& a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatNDArray gammainc (float x, const FloatNDArray& a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, float a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") extern OCTAVE_API FloatNDArray gammainc (const FloatNDArray& x, const FloatNDArray& a); OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") inline Complex rc_log1p (double x) { return octave::math::rc_log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::rc_log1p' instead") inline FloatComplex rc_log1p (float x) { return octave::math::rc_log1p (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfinv' instead") inline double erfinv (double x) { return octave::math::erfinv (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfinv' instead") inline float erfinv (float x) { return octave::math::erfinv (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcinv' instead") inline double erfcinv (double x) { return octave::math::erfcinv (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcinv' instead") inline float erfcinv (float x) { return octave::math::erfcinv (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcx' instead") inline float erfcx (float x) { return octave::math::erfcx (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcx' instead") inline double erfcx (double x) { return octave::math::erfcx (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcx' instead") inline Complex erfcx (const Complex& x) { return octave::math::erfcx (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfcx' instead") inline FloatComplex erfcx (const FloatComplex& x) { return octave::math::erfcx (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfi' instead") inline float erfi (float x) { return octave::math::erfi (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfi' instead") inline double erfi (double x) { return octave::math::erfi (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfi' instead") inline Complex erfi (const Complex& x) { return octave::math::erfi (x); } OCTAVE_DEPRECATED ("use 'octave::math::erfi' instead") inline FloatComplex erfi (const FloatComplex& x) { return octave::math::erfi (x); } OCTAVE_DEPRECATED ("use 'octave::math::dawson' instead") inline float dawson (float x) { return octave::math::dawson (x); } OCTAVE_DEPRECATED ("use 'octave::math::dawson' instead") inline double dawson (double x) { return octave::math::dawson (x); } OCTAVE_DEPRECATED ("use 'octave::math::dawson' instead") inline Complex dawson (const Complex& x) { return octave::math::dawson (x); } OCTAVE_DEPRECATED ("use 'octave::math::dawson' instead") inline FloatComplex dawson (const FloatComplex& x) { return octave::math::dawson (x); } OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") inline double betaincinv (double x, double a, double b) { return octave::math::betaincinv (x, a, b); } OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API double betaincinv (double x, double a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (double x, double a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (double x, const Array<double>& a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, double a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, double b); OCTAVE_DEPRECATED ("use 'octave::math::betaincinv' instead") extern OCTAVE_API Array<double> betaincinv (const Array<double>& x, const Array<double>& a, const Array<double>& b); OCTAVE_DEPRECATED ("use 'octave::math::ellipj' instead") inline void ellipj (double u, double m, double& sn, double& cn, double& dn, double& err) { octave::math::ellipj (u, m, sn, cn, dn, err); } OCTAVE_DEPRECATED ("use 'octave::math::ellipj' instead") inline void ellipj (const Complex& u, double m, Complex& sn, Complex& cn, Complex& dn, double& err) { octave::math::ellipj (u, m, sn, cn, dn, err); } //! Digamma function. //! //! Only defined for double and float. template <typename T> OCTAVE_DEPRECATED ("use 'octave::math::psi' instead") T psi (T z); template <> inline double psi (double z) { return octave::math::psi (z); } template <> inline float psi (float z) { return octave::math::psi (z); } //! Digamma function for complex input. //! //! Only defined for double and float. template <typename T> OCTAVE_DEPRECATED ("use 'octave::math::psi' instead") std::complex<T> psi (const std::complex<T>& z); template <> inline std::complex<double> psi (const std::complex<double>& z) { return octave::math::psi (z); } template <> inline std::complex<float> psi (const std::complex<float>& z) { return octave::math::psi (z); } //! Polygamma function. //! //! Only defined for double and float. //! @param n must be non-negative. If zero, the digamma function is computed. //! @param z must be real and non-negative. template <typename T> OCTAVE_DEPRECATED ("use 'octave::math::psi' instead") T psi (octave_idx_type n, T z); template<> inline double psi (octave_idx_type n, double z) { return octave::math::psi (n, z); } template<> inline float psi (octave_idx_type n, float z) { return octave::math::psi (n, z); } #endif #endif