Mercurial > octave
annotate libinterp/corefcn/fft2.cc @ 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 | 32d2b6604a9f |
| children | aac27ad79be6 |
| rev | line source |
|---|---|
|
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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 //////////////////////////////////////////////////////////////////////// |
| 2928 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
| 2928 | 28 #endif |
| 29 | |
| 30 #include "lo-mappers.h" | |
| 31 | |
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32 #include "defun.h" |
| 2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
| 2928 | 36 #include "utils.h" |
| 37 | |
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38 OCTAVE_BEGIN_NAMESPACE(octave) |
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39 |
| 4773 | 40 // This function should be merged with Fifft. |
| 2928 | 41 |
| 4773 | 42 static octave_value |
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43 do_fft2 (const octave_value_list& args, const char *fcn, int type) |
| 2928 | 44 { |
| 45 int nargin = args.length (); | |
| 46 | |
| 47 if (nargin < 1 || nargin > 3) | |
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48 print_usage (); |
| 2928 | 49 |
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50 octave_value retval; |
| 2928 | 51 octave_value arg = args(0); |
| 4773 | 52 dim_vector dims = arg.dims (); |
| 5275 | 53 octave_idx_type n_rows = -1; |
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54 |
| 2928 | 55 if (nargin > 1) |
| 56 { | |
| 57 double dval = args(1).double_value (); | |
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58 if (math::isnan (dval)) |
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59 error ("%s: number of rows (N) cannot be NaN", fcn); |
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60 |
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61 n_rows = math::nint_big (dval); |
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62 if (n_rows < 0) |
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63 error ("%s: number of rows (N) must be greater than zero", fcn); |
| 2928 | 64 } |
| 65 | |
| 5275 | 66 octave_idx_type n_cols = -1; |
| 2928 | 67 if (nargin > 2) |
| 68 { | |
| 69 double dval = args(2).double_value (); | |
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70 if (math::isnan (dval)) |
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71 error ("%s: number of columns (M) cannot be NaN", fcn); |
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72 |
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73 n_cols = math::nint_big (dval); |
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74 if (n_cols < 0) |
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75 error ("%s: number of columns (M) must be greater than zero", fcn); |
| 2928 | 76 } |
| 77 | |
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78 for (int i = 0; i < dims.ndims (); i++) |
| 4773 | 79 if (dims(i) < 0) |
| 2928 | 80 return retval; |
| 81 | |
| 4773 | 82 if (n_rows < 0) |
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83 n_rows = dims(0); |
| 4773 | 84 else |
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85 dims(0) = n_rows; |
| 2928 | 86 |
| 4773 | 87 if (n_cols < 0) |
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88 n_cols = dims(1); |
| 4773 | 89 else |
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90 dims(1) = n_cols; |
| 4773 | 91 |
| 92 if (dims.all_zero () || n_rows == 0 || n_cols == 0) | |
| 7924 | 93 { |
| 94 if (arg.is_single_type ()) | |
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95 return octave_value (FloatMatrix ()); |
| 7924 | 96 else |
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97 return octave_value (Matrix ()); |
| 7924 | 98 } |
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100 if (arg.is_single_type ()) |
| 2928 | 101 { |
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102 if (arg.isreal ()) |
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103 { |
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104 FloatNDArray nda = arg.float_array_value (); |
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106 nda.resize (dims, 0.0); |
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107 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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108 } |
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109 else |
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110 { |
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111 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
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113 cnda.resize (dims, 0.0); |
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114 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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115 } |
| 2928 | 116 } |
| 117 else | |
| 118 { | |
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119 if (arg.isreal ()) |
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120 { |
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121 NDArray nda = arg.array_value (); |
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122 |
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123 nda.resize (dims, 0.0); |
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124 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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125 } |
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126 else if (arg.iscomplex ()) |
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127 { |
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128 ComplexNDArray cnda = arg.complex_array_value (); |
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129 |
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130 cnda.resize (dims, 0.0); |
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131 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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132 } |
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133 else |
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134 err_wrong_type_arg (fcn, arg); |
| 2928 | 135 } |
| 136 | |
| 137 return retval; | |
| 138 } | |
| 139 | |
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140 DEFUN (fft2, args, , |
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141 doc: /* -*- texinfo -*- |
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142 @deftypefn {} {@var{B} =} fft2 (@var{A}) |
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143 @deftypefnx {} {@var{B} =} fft2 (@var{A}, @var{m}, @var{n}) |
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144 Compute the two-dimensional discrete Fourier transform of @var{A} using |
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145 a Fast Fourier Transform (FFT) algorithm. |
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146 |
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147 The optional arguments @var{m} and @var{n} may be used specify the number of |
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148 rows and columns of @var{A} to use. If either of these is larger than the |
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149 size of @var{A}, @var{A} is resized and padded with zeros. |
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150 |
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151 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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152 of @var{A} is treated separately. |
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153 @seealso{ifft2, fft, fftn, fftw} |
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154 @end deftypefn */) |
| 4773 | 155 { |
| 4782 | 156 return do_fft2 (args, "fft2", 0); |
| 4773 | 157 } |
| 158 | |
| 159 | |
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160 DEFUN (ifft2, args, , |
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161 doc: /* -*- texinfo -*- |
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162 @deftypefn {} {@var{A} =} ifft2 (@var{B}) |
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163 @deftypefnx {} {@var{A} =} ifft2 (@var{B}, @var{m}, @var{n}) |
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164 Compute the inverse two-dimensional discrete Fourier transform of @var{B} |
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165 using a Fast Fourier Transform (FFT) algorithm. |
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166 |
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167 The optional arguments @var{m} and @var{n} may be used specify the number of |
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168 rows and columns of @var{B} to use. If either of these is larger than the |
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169 size of @var{B}, @var{B} is resized and padded with zeros. |
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170 |
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171 If @var{B} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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172 of @var{B} is treated separately. |
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173 @seealso{fft2, ifft, ifftn, fftw} |
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174 @end deftypefn */) |
| 4773 | 175 { |
| 4782 | 176 return do_fft2 (args, "ifft2", 1); |
| 4773 | 177 } |
| 178 | |
| 2928 | 179 /* |
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180 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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181 ## Comalco Research and Technology |
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182 ## 02 May 2000 |
| 25586 | 183 %!testif HAVE_FFTW |
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184 %! M = 16; |
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185 %! N = 8; |
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186 %! |
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187 %! m = 5; |
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188 %! n = 3; |
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189 %! |
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190 %! x = 2*pi*(0:1:M-1)/M; |
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191 %! y = 2*pi*(0:1:N-1)/N; |
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192 %! sx = cos (m*x); |
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193 %! sy = sin (n*y); |
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194 %! s = kron (sx',sy); |
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195 %! S = fft2 (s); |
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196 %! answer = kron (fft (sx)', fft (sy)); |
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197 %! assert (S, answer, 4*M*N*eps); |
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198 |
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199 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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200 ## Comalco Research and Technology |
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201 ## 02 May 2000 |
| 25586 | 202 %!testif HAVE_FFTW |
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203 %! M = 12; |
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204 %! N = 7; |
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205 %! |
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206 %! m = 3; |
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207 %! n = 2; |
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208 %! |
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209 %! x = 2*pi*(0:1:M-1)/M; |
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210 %! y = 2*pi*(0:1:N-1)/N; |
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211 %! |
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212 %! sx = cos (m*x); |
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213 %! sy = cos (n*y); |
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214 %! |
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215 %! S = kron (fft (sx)', fft (sy)); |
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216 %! answer = kron (sx', sy); |
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217 %! s = ifft2 (S); |
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218 %! |
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219 %! assert (s, answer, 30*eps); |
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220 |
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221 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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222 ## Comalco Research and Technology |
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223 ## 02 May 2000 |
| 25586 | 224 %!testif HAVE_FFTW |
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225 %! M = 16; |
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226 %! N = 8; |
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227 %! |
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228 %! m = 5; |
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229 %! n = 3; |
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230 %! |
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231 %! x = 2*pi*(0:1:M-1)/M; |
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232 %! y = 2*pi*(0:1:N-1)/N; |
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233 %! sx = single (cos (m*x)); |
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234 %! sy = single (sin (n*y)); |
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235 %! s = kron (sx', sy); |
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236 %! S = fft2 (s); |
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237 %! answer = kron (fft (sx)', fft (sy)); |
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238 %! assert (S, answer, 4*M*N*eps ("single")); |
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239 |
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240 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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241 ## Comalco Research and Technology |
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242 ## 02 May 2000 |
| 25586 | 243 %!testif HAVE_FFTW |
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244 %! M = 12; |
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245 %! N = 7; |
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246 %! |
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247 %! m = 3; |
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248 %! n = 2; |
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249 %! |
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250 %! x = single (2*pi*(0:1:M-1)/M); |
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251 %! y = single (2*pi*(0:1:N-1)/N); |
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252 %! |
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253 %! sx = cos (m*x); |
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254 %! sy = cos (n*y); |
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255 %! |
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256 %! S = kron (fft (sx)', fft (sy)); |
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257 %! answer = kron (sx', sy); |
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258 %! s = ifft2 (S); |
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259 %! |
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260 %! assert (s, answer, 30*eps ("single")); |
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261 */ |
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262 |
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263 OCTAVE_END_NAMESPACE(octave) |