Mercurial > octave
view libinterp/corefcn/__lin_interpn__.cc @ 20940:48b2ad5ee801
maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity.
* libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in
compilation and includes "ovl.h" instead. Original file renamed to
libinterp/octave-value/ovl.h
* libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc.
* oct-obj.cc (ovl ()): Added new function to return empty octave_value_list.
* libinterp/corefcn/module.mk: Remove oct-obj.cc from build system.
* libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system.
* mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc,
__lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc,
betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc,
debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc,
error.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,
graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc,
input.h, inv.cc, kron.cc, load-save.cc, lookup.cc, ls-hdf5.cc, ls-mat-ascii.cc,
ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc, lsode.cc, lu.cc,
luinc.cc, max.cc, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h,
oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc,
quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc,
strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc,
variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc,
audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc,
symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h,
ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc,
ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h,
ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc,
ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc,
ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc,
ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc,
ov-usr-fcn.h, ov.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-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-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,
parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc,
pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc,
pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc,
Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
author | Rik <rik@octave.org> |
---|---|
date | Fri, 18 Dec 2015 16:04:56 -0800 |
parents | 6f0bd96f93c0 |
children | 538b57866b90 |
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/* Copyright (C) 2007-2015 Alexander Barth This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H #include <config.h> #endif #include "lo-ieee.h" #include "dNDArray.h" #include "oct-locbuf.h" #include "defun.h" #include "error.h" #include "ovl.h" // equivalent to isvector.m template <class T> bool isvector (const T& array) { const dim_vector dv = array.dims (); return dv.length () == 2 && (dv(0) == 1 || dv(1) == 1); } // lookup a value in a sorted table (lookup.m) template <class T> octave_idx_type lookup (const T *x, octave_idx_type n, T y) { octave_idx_type j; if (x[0] < x[n-1]) { // increasing x if (y > x[n-1] || y < x[0]) return -1; #ifdef EXHAUSTIF for (j = 0; j < n - 1; j++) { if (x[j] <= y && y <= x[j+1]) return j; } #else octave_idx_type j0 = 0; octave_idx_type j1 = n - 1; while (true) { j = (j0+j1)/2; if (y <= x[j+1]) { if (x[j] <= y) return j; j1 = j; } if (x[j] <= y) j0 = j; } #endif } else { // decreasing x // previous code with x -> -x and y -> -y if (y > x[0] || y < x[n-1]) return -1; #ifdef EXHAUSTIF for (j = 0; j < n - 1; j++) { if (x[j+1] <= y && y <= x[j]) return j; } #else octave_idx_type j0 = 0; octave_idx_type j1 = n - 1; while (true) { j = (j0+j1)/2; if (y >= x[j+1]) { if (x[j] >= y) return j; j1 = j; } if (x[j] >= y) j0 = j; } #endif } } // n-dimensional linear interpolation template <class T> void lin_interpn (int n, const octave_idx_type *size, const octave_idx_type *scale, octave_idx_type Ni, T extrapval, const T **x, const T *v, const T **y, T *vi) { bool out = false; int bit; OCTAVE_LOCAL_BUFFER (T, coef, 2*n); OCTAVE_LOCAL_BUFFER (octave_idx_type, index, n); // loop over all points for (octave_idx_type m = 0; m < Ni; m++) { // loop over all dimensions for (int i = 0; i < n; i++) { index[i] = lookup (x[i], size[i], y[i][m]); out = index[i] == -1; if (out) break; else { octave_idx_type j = index[i]; coef[2*i+1] = (y[i][m] - x[i][j])/(x[i][j+1] - x[i][j]); coef[2*i] = 1 - coef[2*i+1]; } } if (out) vi[m] = extrapval; else { vi[m] = 0; // loop over all corners of hypercube (1<<n = 2^n) for (int i = 0; i < (1 << n); i++) { T c = 1; octave_idx_type l = 0; // loop over all dimensions for (int j = 0; j < n; j++) { // test if the jth bit in i is set bit = i >> j & 1; l += scale[j] * (index[j] + bit); c *= coef[2*j+bit]; } vi[m] += c * v[l]; } } } } template <class T, class M> octave_value lin_interpn (int n, M *X, const M V, M *Y) { octave_value retval; M Vi = M (Y[0].dims ()); OCTAVE_LOCAL_BUFFER (const T *, y, n); OCTAVE_LOCAL_BUFFER (octave_idx_type, size, n); for (int i = 0; i < n; i++) { y[i] = Y[i].data (); size[i] = V.dims ()(i); } OCTAVE_LOCAL_BUFFER (const T *, x, n); OCTAVE_LOCAL_BUFFER (octave_idx_type, scale, n); const T *v = V.data (); T *vi = Vi.fortran_vec (); octave_idx_type Ni = Vi.numel (); T extrapval = octave_NA; // offset in memory of each dimension scale[0] = 1; for (int i = 1; i < n; i++) scale[i] = scale[i-1] * size[i-1]; // tests if X[0] is a vector, if yes, assume that all elements of X are // in the ndgrid format. if (! isvector (X[0])) { for (int i = 0; i < n; i++) { if (X[i].dims () != V.dims ()) error ("interpn: incompatible size of argument number %d", i+1); M tmp = M (dim_vector (size[i], 1)); for (octave_idx_type j = 0; j < size[i]; j++) tmp(j) = X[i](scale[i]*j); X[i] = tmp; } } for (int i = 0; i < n; i++) { if (! isvector (X[i]) && X[i].numel () != size[i]) error ("interpn: incompatible size of argument number %d", i+1); x[i] = X[i].data (); } lin_interpn (n, size, scale, Ni, extrapval, x, v, y, vi); retval = Vi; return retval; } // Perform @var{n}-dimensional interpolation. Each element of then // @var{n}-dimensional array @var{v} represents a value at a location // given by the parameters @var{x1}, @var{x2},...,@var{xn}. The parameters // @var{x1}, @var{x2}, @dots{}, @var{xn} are either @var{n}-dimensional // arrays of the same size as the array @var{v} in the \"ndgrid\" format // or vectors. The parameters @var{y1}, @var{y2}, @dots{}, @var{yn} are // all @var{n}-dimensional arrays of the same size and represent the // points at which the array @var{vi} is interpolated. // //This function only performs linear interpolation. DEFUN (__lin_interpn__, args, , "-*- texinfo -*-\n\ @deftypefn {} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn})\n\ Undocumented internal function.\n\ @end deftypefn") { int nargin = args.length (); if (nargin < 2 || nargin % 2 == 0) print_usage (); octave_value retval; // dimension of the problem int n = (nargin-1)/2; if (args(n).is_single_type ()) { OCTAVE_LOCAL_BUFFER (FloatNDArray, X, n); OCTAVE_LOCAL_BUFFER (FloatNDArray, Y, n); const FloatNDArray V = args(n).float_array_value (); for (int i = 0; i < n; i++) { X[i] = args(i).float_array_value (); Y[i] = args(n+i+1).float_array_value (); if (Y[0].dims () != Y[i].dims ()) error ("interpn: incompatible size of argument number %d", n+i+2); } retval = lin_interpn<float, FloatNDArray> (n, X, V, Y); } else { OCTAVE_LOCAL_BUFFER (NDArray, X, n); OCTAVE_LOCAL_BUFFER (NDArray, Y, n); const NDArray V = args(n).array_value (); for (int i = 0; i < n; i++) { X[i] = args(i).array_value (); Y[i] = args(n+i+1).array_value (); if (Y[0].dims () != Y[i].dims ()) error ("interpn: incompatible size of argument number %d", n+i+2); } retval = lin_interpn<double, NDArray> (n, X, V, Y); } return retval; } /* ## No test needed for internal helper function. %!assert (1) */