Mercurial > octave-nkf
view scripts/polynomial/mkpp.m @ 20216:aa36fb998a4d stable
maint: Remove unnecessary whitespace at end of lines.
* libgui/Makefile.am, libgui/graphics/Canvas.cc,
libgui/graphics/EditControl.cc, libgui/graphics/Figure.cc,
libgui/graphics/MouseModeActionGroup.cc, libgui/graphics/annotation-dialog.cc,
libgui/graphics/annotation-dialog.h, libgui/graphics/gl-select.cc,
libgui/graphics/module.mk, libgui/kb-layouts/default.keytab,
libgui/kb-layouts/linux.keytab, libgui/kb-layouts/vt420pc.keytab,
libgui/src/m-editor/find-dialog.cc, libgui/src/main-window.cc,
libgui/src/octave-qt-link.cc, libgui/src/octave-qt-link.h,
libgui/src/shortcut-manager.h, libinterp/corefcn/error.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gl2ps-renderer.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h,
libinterp/corefcn/octave-link.cc, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/strfns.cc, libinterp/corefcn/syscalls.cc,
libinterp/corefcn/sysdep.cc, libinterp/corefcn/urlwrite.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/ccolamd.cc,
libinterp/dldfcn/colamd.cc, libinterp/octave-value/ov-bool-sparse.cc,
libinterp/octave-value/ov-classdef.cc, libinterp/octave-value/ov-re-sparse.cc,
libinterp/octave-value/ov-struct.cc, libinterp/parse-tree/pt-arg-list.cc,
scripts/audio/@audiorecorder/play.m, scripts/audio/wavwrite.m,
scripts/general/cart2sph.m, scripts/geometry/inpolygon.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m,
scripts/gui/private/message_dialog.m, scripts/help/get_first_help_sentence.m,
scripts/help/lookfor.m, scripts/image/imshow.m, scripts/io/strread.m,
scripts/java/javamem.m, scripts/miscellaneous/dir.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/genvarname.m,
scripts/miscellaneous/gzip.m, scripts/miscellaneous/private/__w2mpth__.m,
scripts/plot/appearance/annotation.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/quiver3.m, scripts/plot/util/hold.m,
scripts/plot/util/print.m, scripts/polynomial/mkpp.m,
scripts/polynomial/polyder.m, scripts/polynomial/spline.m,
scripts/polynomial/unmkpp.m, scripts/signal/arma_rnd.m, scripts/sparse/gplot.m,
scripts/statistics/tests/t_test.m,
scripts/statistics/tests/t_test_regression.m, scripts/strings/mat2str.m,
scripts/strings/strsplit.m, scripts/strings/strtrunc.m,
scripts/strings/untabify.m, scripts/testfun/assert.m:
maint: Remove unnecessary whitespace at end of lines.
author | Rik <rik@octave.org> |
---|---|
date | Tue, 12 May 2015 09:22:01 -0700 |
parents | f1d0f506ee78 |
children |
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## Copyright (C) 2000-2015 Paul Kienzle ## ## 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/>. ## -*- texinfo -*- ## @deftypefn {Function File} {@var{pp} =} mkpp (@var{breaks}, @var{coefs}) ## @deftypefnx {Function File} {@var{pp} =} mkpp (@var{breaks}, @var{coefs}, @var{d}) ## ## Construct a piecewise polynomial (pp) structure from sample points ## @var{breaks} and coefficients @var{coefs}. ## ## @var{breaks} must be a vector of strictly increasing values. The number of ## intervals is given by @code{@var{ni} = length (@var{breaks}) - 1}. ## ## When @var{m} is the polynomial order @var{coefs} must be of size: ## @var{ni} x @var{m} + 1. ## ## The i-th row of @var{coefs}, @code{@var{coefs} (@var{i},:)}, contains the ## coefficients for the polynomial over the @var{i}-th interval, ordered from ## highest (@var{m}) to lowest (@var{0}). ## ## @var{coefs} may also be a multi-dimensional array, specifying a vector-valued ## or array-valued polynomial. In that case the polynomial order is defined ## by the length of the last dimension of @var{coefs}. The size of first ## dimension(s) are given by the scalar or vector @var{d}. If @var{d} is not ## given it is set to @code{1}. In any case @var{coefs} is reshaped to a 2-D ## matrix of size @code{[@var{ni}*prod(@var{d} @var{m})] } ## ## @seealso{unmkpp, ppval, spline, pchip, ppder, ppint, ppjumps} ## @end deftypefn function pp = mkpp (x, P, d) ## check number of arguments if (nargin < 2 || nargin > 3) print_usage (); endif ## check x if (length (x) < 2) error ("mkpp: at least one interval is needed"); endif if (! isvector (x)) error ("mkpp: x must be a vector"); endif len = length (x) - 1; dP = length (size (P)); pp = struct ("form", "pp", "breaks", x(:).', "coefs", [], "pieces", len, "order", prod (size (P)) / len, "dim", 1); if (nargin == 3) pp.dim = d; pp.order /= prod (d); endif dim_vec = [pp.pieces * prod(pp.dim), pp.order]; pp.coefs = reshape (P, dim_vec); endfunction %!demo # linear interpolation %! x = linspace (0,pi,5)'; %! t = [sin(x), cos(x)]; %! m = diff (t) ./ (x(2)-x(1)); %! b = t(1:4,:); %! pp = mkpp (x, [m(:),b(:)]); %! xi = linspace (0,pi,50); %! plot (x,t,"x", xi,ppval (pp,xi)); %! legend ("control", "interp"); %!shared b,c,pp %! b = 1:3; c = 1:24; pp = mkpp (b,c); %!assert (pp.pieces, 2) %!assert (pp.order, 12) %!assert (pp.dim, 1) %!assert (size (pp.coefs), [2,12]) %! pp = mkpp (b,c,2); %!assert (pp.pieces, 2) %!assert (pp.order, 6) %!assert (pp.dim, 2) %!assert (size (pp.coefs), [4,6]) %! pp = mkpp (b,c,3); %!assert (pp.pieces, 2) %!assert (pp.order, 4) %!assert (pp.dim, 3) %!assert (size (pp.coefs), [6,4]) %! pp = mkpp (b,c,[2,3]); %!assert (pp.pieces, 2) %!assert (pp.order, 2) %!assert (pp.dim, [2,3]) %!assert (size (pp.coefs), [12,2])