annotate liboctave/numeric/lo-specfun.h @ 31605:e88a07dec498 stable

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author Rik <rik@octave.org>
date Thu, 01 Dec 2022 14:23:45 -0800
parents 796f54d4ddbf
children aac27ad79be6
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if ! defined (octave_lo_specfun_h)
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27 #define octave_lo_specfun_h 1
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28
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29 #include "octave-config.h"
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30
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31 #include "mx-fwd.h"
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32
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33 #include "Array.h"
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34 #include "oct-cmplx.h"
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35
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36 OCTAVE_BEGIN_NAMESPACE(octave)
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37
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38 OCTAVE_BEGIN_NAMESPACE(math)
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39
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40 inline double acosh (double x) { return std::acosh (x); }
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41 inline float acosh (float x) { return std::acoshf (x); }
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42 inline Complex acosh (const Complex& x) { return std::acosh (x); }
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43 inline FloatComplex acosh (const FloatComplex& x) { return std::acosh (x); }
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44
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45 extern OCTAVE_API Complex airy (const Complex& z, bool deriv, bool scaled,
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46 octave_idx_type& ierr);
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47 extern OCTAVE_API ComplexMatrix airy (const ComplexMatrix& z, bool deriv,
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48 bool scaled, Array<octave_idx_type>& ierr);
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49 extern OCTAVE_API ComplexNDArray airy (const ComplexNDArray& z, bool deriv,
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50 bool scaled, Array<octave_idx_type>& ierr);
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51 extern OCTAVE_API FloatComplex airy (const FloatComplex& z, bool deriv,
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52 bool scaled, octave_idx_type& ierr);
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53 extern OCTAVE_API FloatComplexMatrix airy (const FloatComplexMatrix& z,
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54 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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55 extern OCTAVE_API FloatComplexNDArray airy (const FloatComplexNDArray& z,
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56 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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57
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58 inline double asinh (double x) { return std::asinh (x); }
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59 inline float asinh (float x) { return std::asinhf (x); }
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60 inline Complex asinh (const Complex& x) { return std::asinh (x); }
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61 inline FloatComplex asinh (const FloatComplex& x) { return std::asinh (x); }
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62
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63 inline double atanh (double x) { return std::atanh (x); }
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64 inline float atanh (float x) { return std::atanhf (x); }
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65 inline Complex atanh (const Complex& x) { return std::atanh (x); }
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66 inline FloatComplex atanh (const FloatComplex& x) { return std::atanh (x); }
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67
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68 extern OCTAVE_API Complex besselj (double alpha, const Complex& x, bool scaled,
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69 octave_idx_type& ierr);
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70 extern OCTAVE_API Complex bessely (double alpha, const Complex& x, bool scaled,
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71 octave_idx_type& ierr);
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72 extern OCTAVE_API Complex besseli (double alpha, const Complex& x, bool scaled,
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73 octave_idx_type& ierr);
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74 extern OCTAVE_API Complex besselk (double alpha, const Complex& x, bool scaled,
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75 octave_idx_type& ierr);
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76 extern OCTAVE_API Complex besselh1 (double alpha, const Complex& x, bool scaled,
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77 octave_idx_type& ierr);
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78 extern OCTAVE_API Complex besselh2 (double alpha, const Complex& x, bool scaled,
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79 octave_idx_type& ierr);
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80
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81 extern OCTAVE_API ComplexMatrix besselj (double alpha, const ComplexMatrix& x,
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82 bool scaled, Array<octave_idx_type>& ierr);
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83 extern OCTAVE_API ComplexMatrix bessely (double alpha, const ComplexMatrix& x,
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84 bool scaled, Array<octave_idx_type>& ierr);
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85 extern OCTAVE_API ComplexMatrix besseli (double alpha, const ComplexMatrix& x,
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86 bool scaled, Array<octave_idx_type>& ierr);
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87 extern OCTAVE_API ComplexMatrix besselk (double alpha, const ComplexMatrix& x,
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88 bool scaled, Array<octave_idx_type>& ierr);
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89 extern OCTAVE_API ComplexMatrix besselh1 (double alpha, const ComplexMatrix& x,
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90 bool scaled, Array<octave_idx_type>& ierr);
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91 extern OCTAVE_API ComplexMatrix besselh2 (double alpha, const ComplexMatrix& x,
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92 bool scaled, Array<octave_idx_type>& ierr);
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93
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94 extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha, const Complex& x,
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95 bool scaled, Array<octave_idx_type>& ierr);
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96 extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha, const Complex& x,
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97 bool scaled, Array<octave_idx_type>& ierr);
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98 extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha, const Complex& x,
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99 bool scaled, Array<octave_idx_type>& ierr);
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100 extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha, const Complex& x,
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101 bool scaled, Array<octave_idx_type>& ierr);
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102 extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha, const Complex& x,
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103 bool scaled, Array<octave_idx_type>& ierr);
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104 extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha, const Complex& x,
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105 bool scaled, Array<octave_idx_type>& ierr);
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106
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107 extern OCTAVE_API ComplexMatrix besselj (const Matrix& alpha,
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108 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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109 extern OCTAVE_API ComplexMatrix bessely (const Matrix& alpha,
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110 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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111 extern OCTAVE_API ComplexMatrix besseli (const Matrix& alpha,
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112 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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113 extern OCTAVE_API ComplexMatrix besselk (const Matrix& alpha,
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114 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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115 extern OCTAVE_API ComplexMatrix besselh1 (const Matrix& alpha,
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116 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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117 extern OCTAVE_API ComplexMatrix besselh2 (const Matrix& alpha,
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118 const ComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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119
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120 extern OCTAVE_API ComplexNDArray besselj (double alpha, const ComplexNDArray& x,
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121 bool scaled, Array<octave_idx_type>& ierr);
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122 extern OCTAVE_API ComplexNDArray bessely (double alpha, const ComplexNDArray& x,
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123 bool scaled, Array<octave_idx_type>& ierr);
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124 extern OCTAVE_API ComplexNDArray besseli (double alpha, const ComplexNDArray& x,
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125 bool scaled, Array<octave_idx_type>& ierr);
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126 extern OCTAVE_API ComplexNDArray besselk (double alpha, const ComplexNDArray& x,
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127 bool scaled, Array<octave_idx_type>& ierr);
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128 extern OCTAVE_API ComplexNDArray besselh1 (double alpha,
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129 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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130 extern OCTAVE_API ComplexNDArray besselh2 (double alpha,
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131 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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132
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133 extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha,
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134 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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135 extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha,
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136 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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137 extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha,
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138 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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139 extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha,
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140 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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141 extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha,
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142 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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143 extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha,
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144 const Complex& x, bool scaled, Array<octave_idx_type>& ierr);
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145
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146 extern OCTAVE_API ComplexNDArray besselj (const NDArray& alpha,
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147 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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148 extern OCTAVE_API ComplexNDArray bessely (const NDArray& alpha,
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149 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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150 extern OCTAVE_API ComplexNDArray besseli (const NDArray& alpha,
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151 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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152 extern OCTAVE_API ComplexNDArray besselk (const NDArray& alpha,
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153 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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154 extern OCTAVE_API ComplexNDArray besselh1 (const NDArray& alpha,
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155 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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156 extern OCTAVE_API ComplexNDArray besselh2 (const NDArray& alpha,
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157 const ComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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158
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159 extern OCTAVE_API ComplexMatrix besselj (const RowVector& alpha,
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160 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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161 extern OCTAVE_API ComplexMatrix bessely (const RowVector& alpha,
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162 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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163 extern OCTAVE_API ComplexMatrix besseli (const RowVector& alpha,
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164 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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165 extern OCTAVE_API ComplexMatrix besselk (const RowVector& alpha,
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166 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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167 extern OCTAVE_API ComplexMatrix besselh1 (const RowVector& alpha,
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168 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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169 extern OCTAVE_API ComplexMatrix besselh2 (const RowVector& alpha,
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170 const ComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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171
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172 extern OCTAVE_API FloatComplex besselj (float alpha, const FloatComplex& x,
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173 bool scaled, octave_idx_type& ierr);
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174 extern OCTAVE_API FloatComplex bessely (float alpha, const FloatComplex& x,
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175 bool scaled, octave_idx_type& ierr);
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176 extern OCTAVE_API FloatComplex besseli (float alpha, const FloatComplex& x,
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177 bool scaled, octave_idx_type& ierr);
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178 extern OCTAVE_API FloatComplex besselk (float alpha, const FloatComplex& x,
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179 bool scaled, octave_idx_type& ierr);
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180 extern OCTAVE_API FloatComplex besselh1 (float alpha, const FloatComplex& x,
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181 bool scaled, octave_idx_type& ierr);
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182 extern OCTAVE_API FloatComplex besselh2 (float alpha, const FloatComplex& x,
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183 bool scaled, octave_idx_type& ierr);
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184
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185 extern OCTAVE_API FloatComplexMatrix besselj (float alpha,
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186 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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187 extern OCTAVE_API FloatComplexMatrix bessely (float alpha,
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188 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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189 extern OCTAVE_API FloatComplexMatrix besseli (float alpha,
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190 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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191 extern OCTAVE_API FloatComplexMatrix besselk (float alpha,
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192 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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193 extern OCTAVE_API FloatComplexMatrix besselh1 (float alpha,
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194 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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195 extern OCTAVE_API FloatComplexMatrix besselh2 (float alpha,
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196 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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197
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198 extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha,
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199 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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200 extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha,
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201 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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202 extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha,
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203 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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204 extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha,
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205 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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206 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha,
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207 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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208 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha,
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209 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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210
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211 extern OCTAVE_API FloatComplexMatrix besselj (const FloatMatrix& alpha,
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212 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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213 extern OCTAVE_API FloatComplexMatrix bessely (const FloatMatrix& alpha,
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214 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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215 extern OCTAVE_API FloatComplexMatrix besseli (const FloatMatrix& alpha,
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216 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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217 extern OCTAVE_API FloatComplexMatrix besselk (const FloatMatrix& alpha,
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218 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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219 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatMatrix& alpha,
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220 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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221 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatMatrix& alpha,
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222 const FloatComplexMatrix& x, bool scaled, Array<octave_idx_type>& ierr);
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223
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224 extern OCTAVE_API FloatComplexNDArray besselj (float alpha,
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225 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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226 extern OCTAVE_API FloatComplexNDArray bessely (float alpha,
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227 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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228 extern OCTAVE_API FloatComplexNDArray besseli (float alpha,
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229 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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230 extern OCTAVE_API FloatComplexNDArray besselk (float alpha,
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231 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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232 extern OCTAVE_API FloatComplexNDArray besselh1 (float alpha,
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233 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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234 extern OCTAVE_API FloatComplexNDArray besselh2 (float alpha,
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235 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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236
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237 extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha,
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238 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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239 extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha,
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240 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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241 extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha,
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242 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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243 extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha,
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244 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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245 extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha,
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246 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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247 extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha,
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248 const FloatComplex& x, bool scaled, Array<octave_idx_type>& ierr);
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249
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250 extern OCTAVE_API FloatComplexNDArray besselj (const FloatNDArray& alpha,
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251 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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252 extern OCTAVE_API FloatComplexNDArray bessely (const FloatNDArray& alpha,
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253 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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254 extern OCTAVE_API FloatComplexNDArray besseli (const FloatNDArray& alpha,
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255 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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256 extern OCTAVE_API FloatComplexNDArray besselk (const FloatNDArray& alpha,
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257 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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258 extern OCTAVE_API FloatComplexNDArray besselh1 (const FloatNDArray& alpha,
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259 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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260 extern OCTAVE_API FloatComplexNDArray besselh2 (const FloatNDArray& alpha,
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261 const FloatComplexNDArray& x, bool scaled, Array<octave_idx_type>& ierr);
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262
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263 extern OCTAVE_API FloatComplexMatrix besselj (const FloatRowVector& alpha,
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264 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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265 extern OCTAVE_API FloatComplexMatrix bessely (const FloatRowVector& alpha,
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266 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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267 extern OCTAVE_API FloatComplexMatrix besseli (const FloatRowVector& alpha,
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268 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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269 extern OCTAVE_API FloatComplexMatrix besselk (const FloatRowVector& alpha,
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270 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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271 extern OCTAVE_API FloatComplexMatrix besselh1 (const FloatRowVector& alpha,
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272 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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273 extern OCTAVE_API FloatComplexMatrix besselh2 (const FloatRowVector& alpha,
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274 const FloatComplexColumnVector& x, bool scaled, Array<octave_idx_type>& ierr);
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275
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276 extern OCTAVE_API Complex biry (const Complex& z, bool deriv, bool scaled,
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277 octave_idx_type& ierr);
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278 extern OCTAVE_API ComplexMatrix biry (const ComplexMatrix& z, bool deriv,
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279 bool scaled, Array<octave_idx_type>& ierr);
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280 extern OCTAVE_API ComplexNDArray biry (const ComplexNDArray& z, bool deriv,
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281 bool scaled, Array<octave_idx_type>& ierr);
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282 extern OCTAVE_API FloatComplex biry (const FloatComplex& z, bool deriv,
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283 bool scaled, octave_idx_type& ierr);
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284 extern OCTAVE_API FloatComplexMatrix biry (const FloatComplexMatrix& z,
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285 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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286 extern OCTAVE_API FloatComplexNDArray biry (const FloatComplexNDArray& z,
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287 bool deriv, bool scaled, Array<octave_idx_type>& ierr);
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288
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289 inline double cbrt (double x) { return std::cbrt (x); }
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290 inline float cbrt (float x) { return std::cbrtf (x); }
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291
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292 extern OCTAVE_API double dawson (double x);
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293 extern OCTAVE_API float dawson (float x);
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294 extern OCTAVE_API Complex dawson (const Complex& x);
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295 extern OCTAVE_API FloatComplex dawson (const FloatComplex& x);
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296
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297 extern OCTAVE_API void ellipj (double u, double m, double& sn, double& cn,
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298 double& dn, double& err);
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299 extern OCTAVE_API void ellipj (const Complex& u, double m, Complex& sn,
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300 Complex& cn, Complex& dn, double& err);
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301
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302 inline double erf (double x) { return std::erf (x); }
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303 inline float erf (float x) { return std::erff (x); }
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304 extern OCTAVE_API Complex erf (const Complex& x);
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305 extern OCTAVE_API FloatComplex erf (const FloatComplex& x);
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306
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307 inline double erfc (double x) { return std::erfc (x); }
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308 inline float erfc (float x) { return std::erfcf (x); }
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309 extern OCTAVE_API Complex erfc (const Complex& x);
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310 extern OCTAVE_API FloatComplex erfc (const FloatComplex& x);
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311
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312 extern OCTAVE_API double erfcinv (double x);
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313 extern OCTAVE_API float erfcinv (float x);
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314
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315 extern OCTAVE_API double erfcx (double x);
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316 extern OCTAVE_API float erfcx (float x);
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317 extern OCTAVE_API Complex erfcx (const Complex& x);
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318 extern OCTAVE_API FloatComplex erfcx (const FloatComplex& x);
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319
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320 extern OCTAVE_API double erfi (double x);
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321 extern OCTAVE_API float erfi (float x);
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322 extern OCTAVE_API Complex erfi (const Complex& x);
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323 extern OCTAVE_API FloatComplex erfi (const FloatComplex& x);
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324
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325 extern OCTAVE_API double erfinv (double x);
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326 extern OCTAVE_API float erfinv (float x);
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327
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328 inline double expm1 (double x) { return std::expm1 (x); }
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329 inline float expm1 (float x) { return std::expm1f (x); }
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330 extern OCTAVE_API Complex expm1 (const Complex& x);
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331 extern OCTAVE_API FloatComplex expm1 (const FloatComplex& x);
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332
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333 extern OCTAVE_API double gamma (double x);
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334 extern OCTAVE_API float gamma (float x);
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335
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336 inline double lgamma (double x) { return std::lgamma (x); }
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337 inline float lgamma (float x) { return std::lgammaf (x); }
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338
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339 inline double log1p (double x) { return std::log1p (x); }
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340 inline float log1p (float x) { return std::log1pf (x); }
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341 extern OCTAVE_API Complex log1p (const Complex& x);
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342 extern OCTAVE_API FloatComplex log1p (const FloatComplex& x);
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343
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344 extern OCTAVE_API double psi (double x);
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345 extern OCTAVE_API float psi (float x);
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346 extern OCTAVE_API Complex psi (const Complex& x);
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347 extern OCTAVE_API FloatComplex psi (const FloatComplex& x);
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348 extern OCTAVE_API double psi (octave_idx_type n, double z);
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349 extern OCTAVE_API float psi (octave_idx_type n, float z);
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350
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351 extern OCTAVE_API Complex rc_lgamma (double x);
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352 extern OCTAVE_API FloatComplex rc_lgamma (float x);
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353
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354 extern OCTAVE_API Complex rc_log1p (double x);
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355 extern OCTAVE_API FloatComplex rc_log1p (float x);
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356
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357 OCTAVE_END_NAMESPACE(math)
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358 OCTAVE_END_NAMESPACE(octave)
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359
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360 #endif