Mercurial > jwe > octave
view libinterp/corefcn/__lin_interpn__.cc @ 29963:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc,
defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 0a5b15007766 |
children | 796f54d4ddbf |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 2007-2021 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // 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 // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if defined (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" OCTAVE_NAMESPACE_BEGIN // equivalent to isvector.m template <typename T> bool isvector (const T& array) { const dim_vector dv = array.dims (); return dv.ndims () == 2 && (dv(0) == 1 || dv(1) == 1); } // lookup a value in a sorted table (lookup.m) template <typename 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; #if defined (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; #if defined (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 <typename 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 <typename T, typename 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, , doc: /* -*- texinfo -*- @deftypefn {} {@var{vi} =} __lin_interpn__ (@var{x1}, @var{x2}, @dots{}, @var{xn}, @var{v}, @var{y1}, @var{y2}, @dots{}, @var{yn}) Undocumented internal function. @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) */ OCTAVE_NAMESPACE_END