octave-nkf: scripts/polynomial/spline.m annotate

annotate scripts/polynomial/spline.m @ 19627:446c46af4b42 stable

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scripts/statistics/distributions/frnd.m, scripts/statistics/distributions/gamrnd.m, scripts/statistics/distributions/geornd.m, scripts/statistics/distributions/hygernd.m, scripts/statistics/distributions/kolmogorov_smirnov_cdf.m, scripts/statistics/distributions/laplace_cdf.m, scripts/statistics/distributions/laplace_pdf.m, scripts/statistics/distributions/logistic_cdf.m, scripts/statistics/distributions/logistic_pdf.m, scripts/statistics/distributions/lognrnd.m, scripts/statistics/distributions/nbincdf.m, scripts/statistics/distributions/nbininv.m, scripts/statistics/distributions/nbinpdf.m, scripts/statistics/distributions/nbinrnd.m, scripts/statistics/distributions/normrnd.m, scripts/statistics/distributions/poissinv.m, scripts/statistics/distributions/poissrnd.m, scripts/statistics/distributions/tinv.m, scripts/statistics/distributions/trnd.m, scripts/statistics/distributions/unidcdf.m, scripts/statistics/distributions/unidpdf.m, scripts/statistics/distributions/unidrnd.m, scripts/statistics/distributions/unifrnd.m, scripts/statistics/distributions/wblrnd.m, scripts/statistics/models/module.mk, scripts/statistics/tests/kruskal_wallis_test.m, scripts/strings/base2dec.m, scripts/strings/deblank.m, scripts/strings/dec2base.m, scripts/strings/dec2bin.m, scripts/strings/dec2hex.m, scripts/strings/mat2str.m, scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m, scripts/strings/str2num.m, scripts/strings/strcat.m, scripts/strings/strjoin.m, scripts/strings/strsplit.m, scripts/strings/strtok.m, scripts/strings/strtrim.m, scripts/strings/strtrunc.m, scripts/strings/substr.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m, scripts/testfun/test.m, scripts/time/asctime.m, scripts/time/datenum.m, scripts/time/datevec.m, scripts/time/weekday.m, src/Makefile.am, test/Makefile.am, test/build-bc-overload-tests.sh, test/build-sparse-tests.sh, test/jit.tst, test/line-continue.tst: Strip trailing whitespace.

author	John W. Eaton <jwe@octave.org>
date	Tue, 20 Jan 2015 08:26:57 -0500
parents	3232956a6081
children	4197fc428c7d

rev	line source
17744 d63878346099 maint: Update copyright notices for release. John W. Eaton <jwe@octave.org> parents: 14872 diff changeset	1 ## Copyright (C) 2000-2013 Kai Habel
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	2 ## Copyright (C) 2006 David Bateman
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	3 ##
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	4 ## This file is part of Octave.
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	5 ##
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	6 ## Octave is free software; you can redistribute it and/or modify it
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	7 ## under the terms of the GNU General Public License as published by
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 7001 diff changeset	8 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 7001 diff changeset	9 ## your option) any later version.
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	10 ##
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	11 ## Octave is distributed in the hope that it will be useful, but
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	14 ## General Public License for more details.
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	15 ##
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	16 ## You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 7001 diff changeset	17 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 7001 diff changeset	18 ## <http://www.gnu.org/licenses/>.
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	19
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	20 ## -- texinfo --
10793 be55736a0783 Grammarcheck the documentation from m-files. Rik <octave@nomad.inbox5.com> parents: 10658 diff changeset	21 ## @deftypefn {Function File} {@var{pp} =} spline (@var{x}, @var{y})
7650 eb7bdde776f2 Texinfo fixes John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	22 ## @deftypefnx {Function File} {@var{yi} =} spline (@var{x}, @var{y}, @var{xi})
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	23 ## Return the cubic spline interpolant of points @var{x} and @var{y}.
19627 446c46af4b42 strip trailing whitespace from most source files John W. Eaton <jwe@octave.org> parents: 17966 diff changeset	24 ##
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	25 ## When called with two arguments, return the piecewise polynomial @var{pp}
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	26 ## that may be used with @code{ppval} to evaluate the polynomial at specific
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	27 ## points. When called with a third input argument, @code{spline} evaluates
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	28 ## the spline at the points @var{xi}. The third calling form @code{spline
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	29 ## (@var{x}, @var{y}, @var{xi})} is equivalent to @code{ppval (spline
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	30 ## (@var{x}, @var{y}), @var{xi})}.
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	31 ##
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	32 ## The variable @var{x} must be a vector of length @var{n}. @var{y} can be
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	33 ## either a vector or array. If @var{y} is a vector it must have a length of
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	34 ## either @var{n} or @code{@var{n} + 2}. If the length of @var{y} is
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	35 ## @var{n}, then the "not-a-knot" end condition is used. If the length of
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	36 ## @var{y} is @code{@var{n} + 2}, then the first and last values of the
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	37 ## vector @var{y} are the values of the first derivative of the cubic spline
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	38 ## at the endpoints.
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	39 ##
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	40 ## If @var{y} is an array, then the size of @var{y} must have the form
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	41 ## @tex
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	42 ## $$[s_1, s_2, \cdots, s_k, n]$$
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	43 ## @end tex
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	44 ## @ifnottex
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	45 ## @code{[@var{s1}, @var{s2}, @dots{}, @var{sk}, @var{n}]}
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	46 ## @end ifnottex
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	47 ## or
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	48 ## @tex
8828 8463d1a2e544 Doc fixes. Brian Gough <bjg@network-theory.co.uk> parents: 8602 diff changeset	49 ## $$[s_1, s_2, \cdots, s_k, n + 2].$$
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	50 ## @end tex
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	51 ## @ifnottex
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	52 ## @code{[@var{s1}, @var{s2}, @dots{}, @var{sk}, @var{n} + 2]}.
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	53 ## @end ifnottex
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	54 ## The array is reshaped internally to a matrix where the leading
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	55 ## dimension is given by
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	56 ## @tex
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	57 ## $$s_1 s_2 \cdots s_k$$
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	58 ## @end tex
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	59 ## @ifnottex
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	60 ## @code{@var{s1} * @var{s2} * @dots{} * @var{sk}}
8517 81d6ab3ac93c Allow documentation tobe built for other formats than tex and info sh@sh-laptop parents: 8310 diff changeset	61 ## @end ifnottex
9051 1bf0ce0930be Grammar check TexInfo in all .m files Rik <rdrider0-list@yahoo.com> parents: 8920 diff changeset	62 ## and each row of this matrix is then treated separately. Note that this
14104 614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	63 ## is exactly opposite to @code{interp1} but is done for @sc{matlab}
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	64 ## compatibility.
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	65 ##
614505385171 doc: Overhaul docstrings for polynomial functions. Rik <octave@nomad.inbox5.com> parents: 12608 diff changeset	66 ## @seealso{pchip, ppval, mkpp, unmkpp}
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	67 ## @end deftypefn
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	68
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	69 ## This code is based on csape.m from octave-forge, but has been
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	70 ## modified to use the sparse solver code in octave that itself allows
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	71 ## special casing of tri-diagonal matrices, modified for NDArrays and
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	72 ## for the treatment of vectors y 2 elements longer than x as complete
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	73 ## splines.
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	74
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	75 function ret = spline (x, y, xi)
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	76
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	77 x = x(:);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	78 n = length (x);
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	79 if (n < 2)
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	80 error ("spline: requires at least 2 points");
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	81 endif
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	82
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	83 ## Check the size and shape of y
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	84 ndy = ndims (y);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	85 szy = size (y);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	86 if (ndy == 2 && (any (szy == n) \|\| any (szy == n+2)))
3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	87 if (szy(2) == n \|\| szy(2) == n+2)
6014 437f9086b967 [project @ 2006-09-30 15:27:06 by jwe] jwe parents: 5838 diff changeset	88 a = y.';
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	89 else
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	90 a = y;
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	91 szy = szy([2 1]);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	92 endif
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	93 else
12608 59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	94 a = shiftdim (reshape (y, [prod(szy(1:end-1)), szy(end)]), 1);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	95 endif
11587 c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	96
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	97 for k = (1:columns (a))(any (isnan (a)))
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	98 ok = ! isnan (a(:,k));
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	99 a(!ok,k) = spline (x(ok), a(ok,k), x(!ok));
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	100 endfor
c792872f8942 all script files: untabify and strip trailing whitespace John W. Eaton <jwe@octave.org> parents: 11536 diff changeset	101
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	102 complete = false;
14872 c2dbdeaa25df maint: use rows() and columns() to clarify m-files. Rik <octave@nomad.inbox5.com> parents: 14868 diff changeset	103 if (rows (a) == n + 2)
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	104 complete = true;
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	105 dfs = a(1,:);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	106 dfe = a(end,:);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	107 a = a(2:end-1,:);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	108 endif
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	109
14222 190952239c2c Use '!' for not operation in preference to '~'. Rik <octave@nomad.inbox5.com> parents: 14138 diff changeset	110 if (! issorted (x))
14868 5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14575 diff changeset	111 [x, idx] = sort (x);
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	112 a = a(idx,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	113 endif
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	114
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	115 b = c = zeros (size (a));
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	116 h = diff (x);
5838 376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe] jwe parents: 5837 diff changeset	117 idx = ones (columns (a), 1);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	118
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	119 if (complete)
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	120
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	121 if (n == 2)
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	122 d = (dfs + dfe) / (x(2) - x(1)) ^ 2 + ...
12608 59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	123 2 * (a(1,:) - a(2,:)) / (x(2) - x(1)) ^ 3;
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	124 c = (-2 * dfs - dfe) / (x(2) - x(1)) - ...
12608 59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	125 3 * (a(1,:) - a(2,:)) / (x(2) - x(1)) ^ 2;
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	126 b = dfs;
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	127 a = a(1,:);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	128
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	129 d = d(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	130 c = c(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	131 b = b(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	132 a = a(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	133 else
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	134 g(1,:) = (a(2,:) - a(1,:)) / h(1) - dfs;
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	135 g(2:n-1,:) = (a(3:n,:) - a(2:n-1,:)) ./ h(2:n-1) - ...
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	136 (a(2:n-1,:) - a(1:n-2,:)) ./ h(1:n-2);
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	137 g(n,:) = dfe - (a(n,:) - a(n-1,:)) / h(n-1);
14868 5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14575 diff changeset	138 c = spdiags ([[h/6;0],[h(1)/3;(h(1:n-2)+h(2:n-1))/3;h(n-1)/3],[0;h/6]],...
5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory Rik <octave@nomad.inbox5.com> parents: 14575 diff changeset	139 [-1,0,1],n,n) \ (g / 2);
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	140 b(1:n-1,:) = diff (a) ./ h(1:n-1, idx) ...
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9768 diff changeset	141 - h(1:n-1,idx) / 3 .* (c(2:n,:) + 2 * c(1:n-1,:));
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	142 d = diff (c) ./ (3 * h(1:n-1, idx));
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	143
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	144 d = d(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	145 c = c(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	146 b = b(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	147 a = a(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	148 endif
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	149 else
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	150
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	151 if (n == 2)
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	152 b = (a(2,:) - a(1,:)) / (x(2) - x(1));
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	153 a = a(1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	154 d = [];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	155 c = [];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	156 b = b(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	157 a = a(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	158 elseif (n == 3)
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	159
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	160 n = 2;
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	161 c = (a(1,:) - a(3,:)) / ((x(3) - x(1)) * (x(2) - x(3))) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	162 + (a(2,:) - a(1,:)) / ((x(2) - x(1)) * (x(2) - x(3)));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	163 b = (a(2,:) - a(1,:)) * (x(3) - x(1)) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	164 / ((x(2) - x(1)) * (x(3) - x(2))) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	165 + (a(1,:) - a(3,:)) * (x(2) - x(1)) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	166 / ((x(3) - x(1)) * (x(3) - x(2)));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	167 a = a(1,:);
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	168 d = [];
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	169 x = [min(x), max(x)];
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	170
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	171 c = c(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	172 b = b(1:n-1,:);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	173 a = a(1:n-1,:);
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	174 else
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	175
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	176 g = zeros (n-2, columns (a));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	177 g(1,:) = 3 / (h(1) + h(2)) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	178 * (a(3,:) - a(2,:) - h(2) / h(1) * (a(2,:) - a(1,:)));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	179 g(n-2,:) = 3 / (h(n-1) + h(n-2)) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	180 * (h(n-2) / h(n-1) * (a(n,:) - a(n-1,:)) - (a(n-1,:) - a(n-2,:)));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	181
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	182 if (n > 4)
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	183
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	184 g(2:n - 3,:) = 3 * diff (a(3:n-1,:)) ./ h(3:n-2,idx) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	185 - 3 * diff (a(2:n-2,:)) ./ h(2:n - 3,idx);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	186
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	187 dg = 2 * (h(1:n-2) .+ h(2:n-1));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	188 dg(1) = dg(1) - h(1);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	189 dg(n-2) = dg(n-2) - h(n-1);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	190
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	191 ldg = udg = h(2:n-2);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	192 udg(1) = udg(1) - h(1);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	193 ldg(n - 3) = ldg(n-3) - h(n-1);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	194 c(2:n-1,:) = spdiags ([[ldg(:); 0], dg, [0; udg(:)]],
10549 95c3e38098bf Untabify .m scripts Rik <code@nomad.inbox5.com> parents: 9768 diff changeset	195 [-1, 0, 1], n-2, n-2) \ g;
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	196
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	197 elseif (n == 4)
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	198
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	199 dg = [h(1) + 2 * h(2); 2 * h(2) + h(3)];
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	200 ldg = h(2) - h(3);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	201 udg = h(2) - h(1);
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	202 c(2:n-1,:) = spdiags ([[ldg(:);0], dg, [0; udg(:)]],
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	203 [-1, 0, 1], n-2, n-2) \ g;
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	204
11196 d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	205 endif
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	206
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	207 c(1,:) = c(2,:) + h(1) / h(2) * (c(2,:) - c(3,:));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	208 c(n,:) = c(n-1,:) + h(n-1) / h(n-2) * (c(n-1,:) - c(n-2,:));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	209 b = diff (a) ./ h(1:n-1, idx) ...
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	210 - h(1:n-1, idx) / 3 .* (c(2:n,:) + 2 * c(1:n-1,:));
d17cb8a1271d spline.m: Fix algorithm for input with 3 elements (bug #31098) Marco Caliari <marco.caliari@univr.it> parents: 10793 diff changeset	211 d = diff (c) ./ (3 * h(1:n-1, idx));
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	212
12608 59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	213 d = d(1:n-1,:);d = d.'(:);
59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	214 c = c(1:n-1,:);c = c.'(:);
59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	215 b = b(1:n-1,:);b = b.'(:);
59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	216 a = a(1:n-1,:);a = a.'(:);
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	217 endif
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	218
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	219 endif
12608 59e2460acae1 make piecewise polynomial (pp) functions more compatible Kai Habel <kai.habel@gmx.de> parents: 12444 diff changeset	220 ret = mkpp (x, cat (2, d, c, b, a), szy(1:end-1));
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	221
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	222 if (nargin == 3)
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	223 ret = ppval (ret, xi);
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	224 endif
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	225
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	226 endfunction
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	227
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	228
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	229 %!demo
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	230 %! x = 0:10; y = sin (x);
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	231 %! xspline = 0:0.1:10; yspline = spline (x,y,xspline);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	232 %! title ("spline fit to points from sin (x)");
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	233 %! plot (xspline,sin(xspline),"r", xspline,yspline,"g-", x,y,"b+");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	234 %! legend ("original", "interpolation", "interpolation points");
5824 448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	235 %! %--------------------------------------------------------
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	236 %! % confirm that interpolated function matches the original
448f9982e7fb [project @ 2006-05-19 06:53:31 by jwe] jwe parents: diff changeset	237
6686 2aad75fcc93a [project @ 2007-06-03 20:58:28 by dbateman] dbateman parents: 6248 diff changeset	238 %!shared x,y,abserr
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	239 %! x = [0:10]; y = sin (x); abserr = 1e-14;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	240 %!assert (spline (x,y,x), y, abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	241 %!assert (spline (x,y,x'), y', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	242 %!assert (spline (x',y',x'), y', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	243 %!assert (spline (x',y',x), y, abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	244 %!assert (isempty (spline (x',y',[])))
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	245 %!assert (isempty (spline (x,y,[])))
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	246 %!assert (spline (x,[y;y],x), [spline(x,y,x);spline(x,y,x)], abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	247 %!assert (spline (x,[y;y],x'), [spline(x,y,x);spline(x,y,x)], abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	248 %!assert (spline (x',[y;y],x), [spline(x,y,x);spline(x,y,x)], abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	249 %!assert (spline (x',[y;y],x'), [spline(x,y,x);spline(x,y,x)], abserr)
14363 f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks Rik <octave@nomad.inbox5.com> parents: 14237 diff changeset	250 %! y = cos (x) + i*sin (x);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	251 %!assert (spline (x,y,x), y, abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	252 %!assert (real (spline (x,y,x)), real (y), abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	253 %!assert (real (spline (x,y,x.')), real (y).', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	254 %!assert (real (spline (x.',y.',x.')), real (y).', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	255 %!assert (real (spline (x.',y,x)), real (y), abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	256 %!assert (imag (spline (x,y,x)), imag (y), abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	257 %!assert (imag (spline (x,y,x.')), imag (y).', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	258 %!assert (imag (spline (x.',y.',x.')), imag (y).', abserr)
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	259 %!assert (imag (spline (x.',y,x)), imag (y), abserr)
10658 c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	260 %!test
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	261 %! xnan = 5;
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	262 %! y(x==xnan) = NaN;
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	263 %! ok = ! isnan (y);
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	264 %! assert (spline (x, y, x(ok)), y(ok), abserr);
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	265 %!test
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	266 %! ok = ! isnan (y);
c66a4657d764 spline.m: Ignore NaNs within input vectors. Ben Abbott <bpabbott@mac.com> parents: 10549 diff changeset	267 %! assert (! isnan (spline (x, y, x(!ok))));
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	268 %!test
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	269 %! x = [1,2];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	270 %! y = [1,4];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	271 %! assert (spline (x,y,x), [1,4], abserr);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	272 %!test
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	273 %! x = [2,1];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	274 %! y = [1,4];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	275 %! assert (spline (x,y,x), [1,4], abserr);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	276 %!test
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	277 %! x = [1,2];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	278 %! y = [1,2,3,4];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	279 %! pp = spline (x,y);
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	280 %! [x,P] = unmkpp (pp);
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	281 %! assert (P, [3,-3,1,2], abserr);
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	282 %!test
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	283 %! x = [2,1];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	284 %! y = [1,2,3,4];
07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	285 %! pp = spline (x,y);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	286 %! pp2 = spline (x', y');
12444 07e102029d2a spline.m: Allow length(x) == 2 and unsorted x values. Ben Abbott <bpabbott@mac.com> parents: 11587 diff changeset	287 %! [x,P] = unmkpp (pp);
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	288 %! assert (P, [7,-9,1,3], abserr);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	289 %! assert (pp2, pp);
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	290 %!test
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	291 %! x = [0,1,2];
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	292 %! y = [0,0,1,0,0];
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	293 %! pp = spline (x,y);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	294 %! pp2 = spline (x', y');
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	295 %! [x,P] = unmkpp (pp);
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	296 %! assert (P, [-2,3,0,0;2,-3,0,1], abserr);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	297 %! assert (pp2, pp);
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	298 %!test
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	299 %! x = [0,1,2,3];
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	300 %! y = [0,0,1,1,0,0];
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	301 %! pp = spline (x,y);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	302 %! pp2 = spline (x', y');
14575 2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	303 %! [x,P] = unmkpp (pp);
2e23cd0a9e40 Fix complete spline with three points (bug #35739) Marco Caliari <marco.caliari@univr.it> parents: 14363 diff changeset	304 %! assert (P, [-1,2,0,0;0,-1,1,1;1,-1,-1,1], abserr);
17966 3232956a6081 spline.m: Fix problem with transposed "complete" inputs (bug #40584). Rik <rik@octave.org> parents: 17744 diff changeset	305 %! assert (pp2, pp);
14237 11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc. Rik <octave@nomad.inbox5.com> parents: 14222 diff changeset	306

Mercurial > octave-nkf

annotate scripts/polynomial/spline.m @ 19627:446c46af4b42 stable