Mercurial > octave
annotate libinterp/corefcn/fft.cc @ 21200:fcac5dbbf9ed
maint: Indent #ifdef blocks in libinterp.
* builtins.h, Cell.cc, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc,
__ichol__.cc, __ilu__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc,
balance.cc, besselj.cc, betainc.cc, bitfcns.cc, bsxfun.cc,
c-file-ptr-stream.cc, c-file-ptr-stream.h, cellfun.cc, colloc.cc,
comment-list.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc,
defaults.cc, defaults.in.h, defun-dld.h, defun.cc, defun.h, det.cc, dirfns.cc,
display.cc, dlmread.cc, dot.cc, dynamic-ld.cc, eig.cc, ellipj.cc, error.cc,
errwarn.cc, event-queue.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc,
find.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc,
givens.cc, gl-render.cc, gl2ps-print.cc, graphics.cc, graphics.in.h, gripes.cc,
hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, jit-ir.cc,
jit-typeinfo.cc, jit-util.cc, jit-util.h, kron.cc, load-path.cc, load-save.cc,
lookup.cc, ls-ascii-helper.cc, ls-hdf5.cc, ls-mat-ascii.cc, ls-mat4.cc,
ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, ls-oct-text.h, ls-utils.cc,
ls-utils.h, lsode.cc, lu.cc, luinc.cc, mappers.cc, matrix_type.cc, max.cc,
mex.h, mexproto.h, mgorth.cc, nproc.cc, oct-errno.in.cc, oct-fstrm.cc,
oct-hdf5-types.cc, oct-hdf5.h, oct-hist.cc, oct-iostrm.cc, oct-lvalue.cc,
oct-map.cc, oct-prcstrm.cc, oct-procbuf.cc, oct-stream.cc, oct-strstrm.cc,
octave-link.cc, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, procstream.cc,
profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc,
regexp.cc, schur.cc, sighandlers.cc, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc, sysdep.h, time.cc, toplev.cc,
tril.cc, tsearch.cc, txt-eng-ft.cc, txt-eng.cc, typecast.cc, urlwrite.cc,
utils.cc, variables.cc, xdiv.cc, xnorm.cc, xpow.cc, zfstream.cc,
__delaunayn__.cc, __eigs__.cc, __fltk_uigetfile__.cc, __glpk__.cc,
__init_fltk__.cc, __init_gnuplot__.cc, __magick_read__.cc, __osmesa_print__.cc,
__voronoi__.cc, amd.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc,
colamd.cc, convhulln.cc, dmperm.cc, fftw.cc, oct-qhull.h, qr.cc, symbfact.cc,
symrcm.cc, oct-conf.in.cc, ov-base-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc, ov-bool-mat.cc,
ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-ch-mat.cc,
ov-class.cc, ov-classdef.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-fcn.cc, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-diag.cc,
ov-flt-cx-mat.cc, ov-flt-re-diag.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-lazy-idx.cc,
ov-mex-fcn.cc, ov-null-mat.cc, ov-oncleanup.cc, ov-perm.cc, ov-range.cc,
ov-re-diag.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc,
ov-struct.cc, ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc,
ov-uint8.cc, ov-usr-fcn.cc, ov.cc, ovl.cc, octave.cc, 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-double-conv.cc, op-fcdm-fcdm.cc,
op-fcdm-fdm.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-float-conv.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-int-conv.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-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, pt-arg-list.cc,
pt-array-list.cc, pt-assign.cc, pt-binop.cc, pt-bp.cc, pt-cbinop.cc,
pt-cell.cc, pt-check.cc, pt-classdef.cc, pt-cmd.cc, pt-colon.cc, pt-colon.h,
pt-const.cc, pt-decl.cc, pt-eval.cc, pt-except.cc, pt-exp.cc, pt-fcn-handle.cc,
pt-funcall.cc, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-loop.cc, pt-mat.cc,
pt-misc.cc, pt-pr-code.cc, pt-select.cc, pt-stmt.cc, pt-unop.cc, pt.cc,
token.cc, Array-jit.cc, Array-os.cc, Array-sym.cc, Array-tc.cc, version.cc:
Indent #ifdef blocks in libinterp.
| author | Rik <rik@octave.org> |
|---|---|
| date | Fri, 05 Feb 2016 16:29:08 -0800 |
| parents | e39e05d90788 |
| children | 40de9f8f23a6 |
| rev | line source |
|---|---|
| 2928 | 1 /* |
| 2 | |
|
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3 Copyright (C) 1997-2015 David Bateman |
| 11523 | 4 Copyright (C) 1996-1997 John W. Eaton |
| 2928 | 5 |
| 6 This file is part of Octave. | |
| 7 | |
| 8 Octave is free software; you can redistribute it and/or modify it | |
| 9 under the terms of the GNU General Public License as published by the | |
| 7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
| 11 option) any later version. | |
| 2928 | 12 |
| 13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 16 for more details. | |
| 17 | |
| 18 You should have received a copy of the GNU General Public License | |
| 7016 | 19 along with Octave; see the file COPYING. If not, see |
| 20 <http://www.gnu.org/licenses/>. | |
| 2928 | 21 |
| 22 */ | |
| 23 | |
| 24 #ifdef HAVE_CONFIG_H | |
|
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25 # include <config.h> |
| 2928 | 26 #endif |
| 27 | |
| 28 #include "lo-mappers.h" | |
| 29 | |
|
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30 #include "defun.h" |
| 2928 | 31 #include "error.h" |
|
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32 #include "errwarn.h" |
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33 #include "ovl.h" |
| 2928 | 34 #include "utils.h" |
| 35 | |
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36 #if defined (HAVE_FFTW) |
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37 # define FFTSRC "@sc{fftw}" |
| 4773 | 38 #else |
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39 # define FFTSRC "@sc{fftpack}" |
| 4773 | 40 #endif |
| 2928 | 41 |
| 4773 | 42 static octave_value |
| 43 do_fft (const octave_value_list &args, const char *fcn, int type) | |
| 2928 | 44 { |
| 45 int nargin = args.length (); | |
| 46 | |
| 4773 | 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_points = -1; |
| 4773 | 54 int dim = -1; |
|
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55 |
| 4773 | 56 if (nargin > 1) |
| 57 { | |
| 58 if (! args(1).is_empty ()) | |
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59 { |
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60 double dval = args(1).double_value (); |
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61 if (xisnan (dval)) |
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62 error ("%s: number of points (N) cannot be NaN", fcn); |
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63 |
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64 n_points = NINTbig (dval); |
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65 if (n_points < 0) |
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66 error ("%s: number of points (N) must be greater than zero", fcn); |
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67 } |
| 4773 | 68 } |
| 2928 | 69 |
| 4773 | 70 if (nargin > 2) |
| 2928 | 71 { |
| 4773 | 72 double dval = args(2).double_value (); |
| 2928 | 73 if (xisnan (dval)) |
|
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74 error ("%s: DIM cannot be NaN", fcn); |
| 4773 | 75 else if (dval < 1 || dval > dims.length ()) |
|
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76 error ("%s: DIM must be a valid dimension along which to perform FFT", |
|
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77 fcn); |
| 2928 | 78 else |
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79 // to be safe, cast it back to int since dim is an int |
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80 dim = NINT (dval) - 1; |
| 2928 | 81 } |
| 82 | |
| 5275 | 83 for (octave_idx_type i = 0; i < dims.length (); i++) |
| 4773 | 84 if (dims(i) < 0) |
| 2928 | 85 return retval; |
| 86 | |
| 4773 | 87 if (dim < 0) |
| 4869 | 88 { |
| 5275 | 89 for (octave_idx_type i = 0; i < dims.length (); i++) |
|
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90 if (dims(i) > 1) |
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91 { |
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92 dim = i; |
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93 break; |
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94 } |
| 4869 | 95 |
| 96 // And if the first argument is scalar? | |
| 97 if (dim < 0) | |
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98 dim = 1; |
| 4869 | 99 } |
| 2928 | 100 |
| 4773 | 101 if (n_points < 0) |
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102 n_points = dims(dim); |
| 4773 | 103 else |
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104 dims(dim) = n_points; |
| 4773 | 105 |
| 6620 | 106 if (dims.any_zero () || n_points == 0) |
| 7924 | 107 { |
| 108 if (arg.is_single_type ()) | |
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109 return octave_value (FloatNDArray (dims)); |
| 7924 | 110 else |
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111 return octave_value (NDArray (dims)); |
| 7924 | 112 } |
| 2928 | 113 |
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114 if (arg.is_single_type ()) |
| 2928 | 115 { |
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116 if (arg.is_real_type ()) |
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117 { |
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118 FloatNDArray nda = arg.float_array_value (); |
| 2928 | 119 |
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120 nda.resize (dims, 0.0); |
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121 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim)); |
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122 } |
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123 else |
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124 { |
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125 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
| 2928 | 126 |
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127 cnda.resize (dims, 0.0); |
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128 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim)); |
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129 } |
| 2928 | 130 } |
| 131 else | |
| 132 { | |
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133 if (arg.is_real_type ()) |
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134 { |
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135 NDArray nda = arg.array_value (); |
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136 |
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137 nda.resize (dims, 0.0); |
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138 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim)); |
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139 } |
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140 else if (arg.is_complex_type ()) |
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141 { |
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142 ComplexNDArray cnda = arg.complex_array_value (); |
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143 |
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144 cnda.resize (dims, 0.0); |
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145 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim)); |
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146 } |
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147 else |
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148 err_wrong_type_arg (fcn, arg); |
| 2928 | 149 } |
| 150 | |
| 151 return retval; | |
| 152 } | |
| 153 | |
| 6620 | 154 /* |
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155 %!assert (fft ([]), []) |
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156 %!assert (fft (zeros (10,0)), zeros (10,0)) |
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157 %!assert (fft (zeros (0,10)), zeros (0,10)) |
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158 %!assert (fft (0), 0) |
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159 %!assert (fft (1), 1) |
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160 %!assert (fft (ones (2,2)), [2,2; 0,0]) |
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161 %!assert (fft (eye (2,2)), [1,1; 1,-1]) |
| 6620 | 162 |
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163 %!assert (fft (single ([])), single ([])) |
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164 %!assert (fft (zeros (10,0,"single")), zeros (10,0,"single")) |
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165 %!assert (fft (zeros (0,10,"single")), zeros (0,10,"single")) |
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166 %!assert (fft (single (0)), single (0)) |
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167 %!assert (fft (single (1)), single (1)) |
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168 %!assert (fft (ones (2,2,"single")), single ([2,2; 0,0])) |
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169 %!assert (fft (eye (2,2,"single")), single ([1,1; 1,-1])) |
| 6620 | 170 |
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171 %!error (fft ()) |
| 6620 | 172 */ |
| 173 | |
| 4773 | 174 |
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175 DEFUN (fft, args, , |
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176 "-*- texinfo -*-\n\ |
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177 @deftypefn {} {} fft (@var{x})\n\ |
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178 @deftypefnx {} {} fft (@var{x}, @var{n})\n\ |
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179 @deftypefnx {} {} fft (@var{x}, @var{n}, @var{dim})\n\ |
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180 Compute the discrete Fourier transform of @var{A} using\n\ |
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181 a Fast Fourier Transform (FFT) algorithm.\n\ |
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182 \n\ |
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183 The FFT is calculated along the first non-singleton dimension of the\n\ |
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184 array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes the\n\ |
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185 FFT for each column of @var{x}.\n\ |
| 4773 | 186 \n\ |
| 187 If called with two arguments, @var{n} is expected to be an integer\n\ | |
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188 specifying the number of elements of @var{x} to use, or an empty\n\ |
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189 matrix to specify that its value should be ignored. If @var{n} is\n\ |
| 4773 | 190 larger than the dimension along which the FFT is calculated, then\n\ |
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191 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is\n\ |
| 4773 | 192 smaller than the dimension along which the FFT is calculated, then\n\ |
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193 @var{x} is truncated.\n\ |
| 4773 | 194 \n\ |
| 5448 | 195 If called with three arguments, @var{dim} is an integer specifying the\n\ |
| 4773 | 196 dimension of the matrix along which the FFT is performed\n\ |
| 6971 | 197 @seealso{ifft, fft2, fftn, fftw}\n\ |
| 5642 | 198 @end deftypefn") |
| 4773 | 199 { |
| 4782 | 200 return do_fft (args, "fft", 0); |
| 4773 | 201 } |
| 202 | |
| 203 | |
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204 DEFUN (ifft, args, , |
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205 "-*- texinfo -*-\n\ |
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206 @deftypefn {} {} ifft (@var{x})\n\ |
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207 @deftypefnx {} {} ifft (@var{x}, @var{n})\n\ |
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208 @deftypefnx {} {} ifft (@var{x}, @var{n}, @var{dim})\n\ |
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209 Compute the inverse discrete Fourier transform of @var{A}\n\ |
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210 using a Fast Fourier Transform (FFT) algorithm.\n\ |
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211 \n\ |
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212 The inverse FFT is calculated along the first non-singleton dimension\n\ |
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213 of the array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes\n\ |
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214 the inverse FFT for each column of @var{x}.\n\ |
| 4773 | 215 \n\ |
| 216 If called with two arguments, @var{n} is expected to be an integer\n\ | |
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217 specifying the number of elements of @var{x} to use, or an empty\n\ |
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218 matrix to specify that its value should be ignored. If @var{n} is\n\ |
| 4773 | 219 larger than the dimension along which the inverse FFT is calculated, then\n\ |
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220 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is\n\ |
| 4773 | 221 smaller than the dimension along which the inverse FFT is calculated,\n\ |
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222 then @var{x} is truncated.\n\ |
| 4773 | 223 \n\ |
| 7001 | 224 If called with three arguments, @var{dim} is an integer specifying the\n\ |
| 4773 | 225 dimension of the matrix along which the inverse FFT is performed\n\ |
| 6971 | 226 @seealso{fft, ifft2, ifftn, fftw}\n\ |
| 5642 | 227 @end deftypefn") |
| 4773 | 228 { |
| 4782 | 229 return do_fft (args, "ifft", 1); |
| 4773 | 230 } |
| 231 | |
| 2928 | 232 /* |
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233 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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234 %% Comalco Research and Technology |
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235 %% 02 May 2000 |
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236 %!test |
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237 %! N = 64; |
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238 %! n = 4; |
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239 %! t = 2*pi*(0:1:N-1)/N; |
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240 %! s = cos (n*t); |
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241 %! S = fft (s); |
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242 %! |
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243 %! answer = zeros (size (t)); |
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244 %! answer(n+1) = N/2; |
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245 %! answer(N-n+1) = N/2; |
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246 %! |
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247 %! assert (S, answer, 4*N*eps); |
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248 |
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249 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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250 %% Comalco Research and Technology |
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251 %% 02 May 2000 |
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252 %!test |
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253 %! N = 64; |
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254 %! n = 7; |
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255 %! t = 2*pi*(0:1:N-1)/N; |
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256 %! s = cos (n*t); |
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257 %! |
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258 %! S = zeros (size (t)); |
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259 %! S(n+1) = N/2; |
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260 %! S(N-n+1) = N/2; |
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261 %! |
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262 %! assert (ifft (S), s, 4*N*eps); |
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263 |
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264 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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265 %% Comalco Research and Technology |
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266 %% 02 May 2000 |
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267 %!test |
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268 %! N = 64; |
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269 %! n = 4; |
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270 %! t = single (2*pi*(0:1:N-1)/N); |
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271 %! s = cos (n*t); |
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272 %! S = fft (s); |
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273 %! |
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274 %! answer = zeros (size (t), "single"); |
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275 %! answer(n+1) = N/2; |
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276 %! answer(N-n+1) = N/2; |
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277 %! |
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278 %! assert (S, answer, 4*N*eps ("single")); |
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279 |
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280 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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281 %% Comalco Research and Technology |
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282 %% 02 May 2000 |
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283 %!test |
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284 %! N = 64; |
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285 %! n = 7; |
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286 %! t = 2*pi*(0:1:N-1)/N; |
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287 %! s = cos (n*t); |
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288 %! |
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289 %! S = zeros (size (t), "single"); |
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290 %! S(n+1) = N/2; |
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291 %! S(N-n+1) = N/2; |
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292 %! |
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293 %! assert (ifft (S), s, 4*N*eps ("single")); |
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294 */ |