Mercurial > octave
annotate libinterp/corefcn/fft.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 static octave_value |
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41 do_fft (const octave_value_list& args, const char *fcn, int type) |
| 2928 | 42 { |
| 43 int nargin = args.length (); | |
| 44 | |
| 4773 | 45 if (nargin < 1 || nargin > 3) |
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46 print_usage (); |
| 2928 | 47 |
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48 octave_value retval; |
| 2928 | 49 octave_value arg = args(0); |
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50 octave_idx_type n_points = -1; |
| 4773 | 51 dim_vector dims = arg.dims (); |
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52 int ndims = dims.ndims (); |
| 4773 | 53 int dim = -1; |
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| 4773 | 55 if (nargin > 1) |
| 56 { | |
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57 if (! args(1).isempty ()) |
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58 { |
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59 double dval = args(1).double_value (); |
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60 if (math::isnan (dval)) |
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61 error ("%s: number of points (N) cannot be NaN", fcn); |
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62 |
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63 n_points = math::nint_big (dval); |
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64 if (n_points < 0) |
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65 error ("%s: number of points (N) must be greater than zero", fcn); |
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66 } |
| 4773 | 67 } |
| 2928 | 68 |
| 4773 | 69 if (nargin > 2) |
| 2928 | 70 { |
| 4773 | 71 double dval = args(2).double_value (); |
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72 if (math::isnan (dval)) |
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73 error ("%s: DIM cannot be NaN", fcn); |
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74 else if (dval < 1 || dval > ndims) |
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75 error ("%s: DIM must be a valid dimension along which to perform FFT", |
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76 fcn); |
| 2928 | 77 else |
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78 // to be safe, cast it back to int since dim is an int |
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79 dim = math::nint (dval) - 1; |
| 2928 | 80 } |
| 81 | |
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82 // FIXME: This seems strange and unnecessary (10/21/16). |
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83 // How would you ever arrive at an octave_value object without correct dims? |
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84 // We certainly don't make this check every other place in Octave. |
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85 for (octave_idx_type i = 0; i < ndims; i++) |
| 4773 | 86 if (dims(i) < 0) |
| 2928 | 87 return retval; |
| 88 | |
| 4773 | 89 if (dim < 0) |
| 4869 | 90 { |
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91 dim = dims.first_non_singleton (); |
| 4869 | 92 |
| 93 // And if the first argument is scalar? | |
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94 if (dim == ndims) |
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95 dim = 1; |
| 4869 | 96 } |
| 2928 | 97 |
| 4773 | 98 if (n_points < 0) |
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99 n_points = dims(dim); |
| 4773 | 100 else |
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101 dims(dim) = n_points; |
| 4773 | 102 |
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103 if (n_points == 0 || dims.any_zero ()) |
| 7924 | 104 { |
| 105 if (arg.is_single_type ()) | |
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106 return octave_value (FloatNDArray (dims)); |
| 7924 | 107 else |
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108 return octave_value (NDArray (dims)); |
| 7924 | 109 } |
| 2928 | 110 |
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111 if (n_points == 1) |
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112 { |
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113 octave_value_list idx (ndims); |
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114 for (octave_idx_type i = 0; i < ndims; i++) |
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115 idx(i) = idx_vector::colon; |
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116 idx(dim) = idx_vector (0); |
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117 |
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118 return arg.index_op (idx); |
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119 } |
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120 |
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121 if (arg.is_single_type ()) |
| 2928 | 122 { |
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123 if (arg.isreal ()) |
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124 { |
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125 FloatNDArray nda = arg.float_array_value (); |
| 2928 | 126 |
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127 nda.resize (dims, 0.0); |
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128 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim)); |
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129 } |
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130 else |
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131 { |
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132 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
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134 cnda.resize (dims, 0.0); |
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135 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim)); |
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136 } |
| 2928 | 137 } |
| 138 else | |
| 139 { | |
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140 if (arg.isreal ()) |
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141 { |
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142 NDArray nda = arg.array_value (); |
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143 |
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144 nda.resize (dims, 0.0); |
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145 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim)); |
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146 } |
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147 else if (arg.iscomplex ()) |
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148 { |
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149 ComplexNDArray cnda = arg.complex_array_value (); |
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150 |
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151 cnda.resize (dims, 0.0); |
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152 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim)); |
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153 } |
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154 else |
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155 err_wrong_type_arg (fcn, arg); |
| 2928 | 156 } |
| 157 | |
| 158 return retval; | |
| 159 } | |
| 160 | |
| 6620 | 161 /* |
| 25586 | 162 %!testif HAVE_FFTW |
| 163 %! assert (fft ([]), []) | |
| 164 %!testif HAVE_FFTW | |
| 165 %! assert (fft (zeros (10,0)), zeros (10,0)) | |
| 166 %!testif HAVE_FFTW | |
| 167 %! assert (fft (zeros (0,10)), zeros (0,10)) | |
| 168 %!testif HAVE_FFTW | |
| 169 %! assert (fft (0), 0) | |
| 170 %!testif HAVE_FFTW | |
| 171 %! assert (fft (1), 1) | |
| 172 %!testif HAVE_FFTW | |
| 173 %! assert (fft (ones (2,2)), [2,2; 0,0]) | |
| 174 %!testif HAVE_FFTW | |
| 175 %! assert (fft (eye (2,2)), [1,1; 1,-1]) | |
| 6620 | 176 |
| 25586 | 177 %!testif HAVE_FFTW |
| 178 %! assert (fft (single ([])), single ([])) | |
| 179 %!testif HAVE_FFTW | |
| 180 %! assert (fft (zeros (10,0,"single")), zeros (10,0,"single")) | |
| 181 %!testif HAVE_FFTW | |
| 182 %! assert (fft (zeros (0,10,"single")), zeros (0,10,"single")) | |
| 183 %!testif HAVE_FFTW | |
| 184 %! assert (fft (single (0)), single (0)) | |
| 185 %!testif HAVE_FFTW | |
| 186 %! assert (fft (single (1)), single (1)) | |
| 187 %!testif HAVE_FFTW | |
| 188 %! assert (fft (ones (2,2,"single")), single ([2,2; 0,0])) | |
| 189 %!testif HAVE_FFTW | |
| 190 %! assert (fft (eye (2,2,"single")), single ([1,1; 1,-1])) | |
| 6620 | 191 |
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192 %!error fft () |
| 6620 | 193 */ |
| 194 | |
| 4773 | 195 |
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196 DEFUN (fft, args, , |
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197 doc: /* -*- texinfo -*- |
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198 @deftypefn {} {@var{y} =} fft (@var{x}) |
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199 @deftypefnx {} {@var{y} =} fft (@var{x}, @var{n}) |
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200 @deftypefnx {} {@var{y} =} fft (@var{x}, @var{n}, @var{dim}) |
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201 Compute the discrete Fourier transform of @var{x} using |
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202 a Fast Fourier Transform (FFT) algorithm. |
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203 |
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204 The FFT is calculated along the first non-singleton dimension of the |
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205 array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes the |
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206 FFT for each column of @var{x}. |
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207 |
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208 If called with two arguments, @var{n} is expected to be an integer |
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209 specifying the number of elements of @var{x} to use, or an empty |
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210 matrix to specify that its value should be ignored. If @var{n} is |
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211 larger than the dimension along which the FFT is calculated, then |
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212 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is |
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213 smaller than the dimension along which the FFT is calculated, then |
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214 @var{x} is truncated. |
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215 |
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216 If called with three arguments, @var{dim} is an integer specifying the |
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217 dimension of the matrix along which the FFT is performed. |
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218 @seealso{ifft, fft2, fftn, fftw} |
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219 @end deftypefn */) |
| 4773 | 220 { |
| 4782 | 221 return do_fft (args, "fft", 0); |
| 4773 | 222 } |
| 223 | |
| 224 | |
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225 DEFUN (ifft, args, , |
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226 doc: /* -*- texinfo -*- |
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227 @deftypefn {} {@var{x} =} ifft (@var{y}) |
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228 @deftypefnx {} {@var{x} =} ifft (@var{y}, @var{n}) |
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229 @deftypefnx {} {@var{x} =} ifft (@var{y}, @var{n}, @var{dim}) |
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230 Compute the inverse discrete Fourier transform of @var{y} |
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231 using a Fast Fourier Transform (FFT) algorithm. |
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232 |
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233 The inverse FFT is calculated along the first non-singleton dimension |
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234 of the array. Thus if @var{y} is a matrix, @code{ifft (@var{y})} computes |
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235 the inverse FFT for each column of @var{y}. |
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236 |
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237 If called with two arguments, @var{n} is expected to be an integer |
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238 specifying the number of elements of @var{y} to use, or an empty |
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239 matrix to specify that its value should be ignored. If @var{n} is |
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240 larger than the dimension along which the inverse FFT is calculated, then |
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241 @var{y} is resized and padded with zeros. Otherwise, if @var{n} is |
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242 smaller than the dimension along which the inverse FFT is calculated, |
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243 then @var{y} is truncated. |
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244 |
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245 If called with three arguments, @var{dim} is an integer specifying the |
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246 dimension of the matrix along which the inverse FFT is performed. |
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247 @seealso{fft, ifft2, ifftn, fftw} |
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248 @end deftypefn */) |
| 4773 | 249 { |
| 4782 | 250 return do_fft (args, "ifft", 1); |
| 4773 | 251 } |
| 252 | |
| 2928 | 253 /* |
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254 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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255 ## Comalco Research and Technology |
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256 ## 02 May 2000 |
| 25586 | 257 %!testif HAVE_FFTW |
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258 %! N = 64; |
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259 %! n = 4; |
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260 %! t = 2*pi*(0:1:N-1)/N; |
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261 %! s = cos (n*t); |
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262 %! S = fft (s); |
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263 %! |
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264 %! answer = zeros (size (t)); |
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265 %! answer(n+1) = N/2; |
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266 %! answer(N-n+1) = N/2; |
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267 %! |
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268 %! assert (S, answer, 4*N*eps); |
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269 |
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270 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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271 ## Comalco Research and Technology |
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272 ## 02 May 2000 |
| 25586 | 273 %!testif HAVE_FFTW |
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274 %! N = 64; |
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275 %! n = 7; |
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276 %! t = 2*pi*(0:1:N-1)/N; |
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277 %! s = cos (n*t); |
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278 %! |
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279 %! S = zeros (size (t)); |
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280 %! S(n+1) = N/2; |
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281 %! S(N-n+1) = N/2; |
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282 %! |
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283 %! assert (ifft (S), s, 4*N*eps); |
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284 |
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285 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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286 ## Comalco Research and Technology |
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287 ## 02 May 2000 |
| 25586 | 288 %!testif HAVE_FFTW |
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289 %! N = 64; |
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290 %! n = 4; |
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291 %! t = single (2*pi*(0:1:N-1)/N); |
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292 %! s = cos (n*t); |
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293 %! S = fft (s); |
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294 %! |
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295 %! answer = zeros (size (t), "single"); |
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296 %! answer(n+1) = N/2; |
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297 %! answer(N-n+1) = N/2; |
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298 %! |
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299 %! assert (S, answer, 4*N*eps ("single")); |
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300 |
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301 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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302 ## Comalco Research and Technology |
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303 ## 02 May 2000 |
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305 %! N = 64; |
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306 %! n = 7; |
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307 %! t = 2*pi*(0:1:N-1)/N; |
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308 %! s = cos (n*t); |
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309 %! |
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310 %! S = zeros (size (t), "single"); |
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311 %! S(n+1) = N/2; |
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312 %! S(N-n+1) = N/2; |
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313 %! |
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314 %! assert (ifft (S), s, 4*N*eps ("single")); |
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315 */ |
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316 |
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317 OCTAVE_END_NAMESPACE(octave) |