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annotate scripts/geometry/tsearchn.m @ 14363:f3d52523cde1
Use Octave coding conventions in all m-file %!test blocks
* wavread.m, acosd.m, acot.m, acotd.m, acoth.m, acsc.m, acscd.m, acsch.m,
asec.m, asecd.m, asech.m, asind.m, atand.m, cosd.m, cot.m, cotd.m, coth.m,
csc.m, cscd.m, csch.m, sec.m, secd.m, sech.m, sind.m, tand.m, accumarray.m,
accumdim.m, bitcmp.m, bitget.m, bitset.m, blkdiag.m, cart2pol.m, cart2sph.m,
celldisp.m, chop.m, circshift.m, colon.m, common_size.m, cplxpair.m,
cumtrapz.m, curl.m, dblquad.m, deal.m, divergence.m, flipdim.m, fliplr.m,
flipud.m, genvarname.m, gradient.m, idivide.m, int2str.m, interp1.m,
interp1q.m, interp2.m, interp3.m, interpft.m, interpn.m, isa.m, isdir.m,
isequal.m, isequalwithequalnans.m, issquare.m, logspace.m, nargchk.m,
narginchk.m, nargoutchk.m, nextpow2.m, nthargout.m, num2str.m, pol2cart.m,
polyarea.m, postpad.m, prepad.m, profile.m, profshow.m, quadgk.m, quadv.m,
randi.m, rat.m, repmat.m, rot90.m, rotdim.m, shift.m, shiftdim.m, sph2cart.m,
structfun.m, trapz.m, triplequad.m, convhull.m, dsearch.m, dsearchn.m,
griddata3.m, griddatan.m, rectint.m, tsearchn.m, __makeinfo__.m, doc.m,
get_first_help_sentence.m, help.m, type.m, unimplemented.m, which.m, imread.m,
imwrite.m, dlmwrite.m, fileread.m, is_valid_file_id.m, strread.m, textread.m,
textscan.m, commutation_matrix.m, cond.m, condest.m, cross.m,
duplication_matrix.m, expm.m, housh.m, isdefinite.m, ishermitian.m,
issymmetric.m, logm.m, normest.m, null.m, onenormest.m, orth.m, planerot.m,
qzhess.m, rank.m, rref.m, trace.m, vech.m, ans.m, bincoeff.m, bug_report.m,
bzip2.m, comma.m, compare_versions.m, computer.m, edit.m, fileparts.m,
fullfile.m, getfield.m, gzip.m, info.m, inputname.m, isappdata.m, isdeployed.m,
ismac.m, ispc.m, isunix.m, list_primes.m, ls.m, mexext.m, namelengthmax.m,
news.m, orderfields.m, paren.m, recycle.m, rmappdata.m, semicolon.m,
setappdata.m, setfield.m, substruct.m, symvar.m, ver.m, version.m,
warning_ids.m, xor.m, fminbnd.m, fsolve.m, fzero.m, lsqnonneg.m, optimset.m,
pqpnonneg.m, sqp.m, matlabroot.m, __gnuplot_drawnow__.m,
__plt_get_axis_arg__.m, ancestor.m, cla.m, clf.m, close.m, colorbar.m,
colstyle.m, comet3.m, contourc.m, figure.m, gca.m, gcbf.m, gcbo.m, gcf.m,
ginput.m, graphics_toolkit.m, gtext.m, hggroup.m, hist.m, hold.m, isfigure.m,
ishghandle.m, ishold.m, isocolors.m, isonormals.m, isosurface.m, isprop.m,
legend.m, line.m, loglog.m, loglogerr.m, meshgrid.m, ndgrid.m, newplot.m,
orient.m, patch.m, plot3.m, plotyy.m, __print_parse_opts__.m, quiver3.m,
refreshdata.m, ribbon.m, semilogx.m, semilogxerr.m, semilogy.m, stem.m,
stem3.m, subplot.m, title.m, uigetfile.m, view.m, whitebg.m, compan.m, conv.m,
deconv.m, mkpp.m, mpoles.m, pchip.m, poly.m, polyaffine.m, polyder.m,
polyfit.m, polygcd.m, polyint.m, polyout.m, polyval.m, polyvalm.m, ppder.m,
ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, intersect.m,
ismember.m, powerset.m, setdiff.m, setxor.m, union.m, unique.m,
autoreg_matrix.m, bartlett.m, blackman.m, detrend.m, fftconv.m, fftfilt.m,
fftshift.m, freqz.m, hamming.m, hanning.m, ifftshift.m, sinc.m, sinetone.m,
sinewave.m, unwrap.m, bicg.m, bicgstab.m, gmres.m, gplot.m, nonzeros.m, pcg.m,
pcr.m, spaugment.m, spconvert.m, spdiags.m, speye.m, spfun.m, spones.m,
sprand.m, sprandsym.m, spstats.m, spy.m, svds.m, treelayout.m, bessel.m,
beta.m, betaln.m, factor.m, factorial.m, isprime.m, lcm.m, legendre.m,
nchoosek.m, nthroot.m, perms.m, pow2.m, primes.m, reallog.m, realpow.m,
realsqrt.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, rosser.m,
vander.m, __finish__.m, center.m, cloglog.m, corr.m, cov.m, gls.m, histc.m,
iqr.m, kendall.m, kurtosis.m, logit.m, mahalanobis.m, mean.m, meansq.m,
median.m, mode.m, moment.m, ols.m, ppplot.m, prctile.m, probit.m, quantile.m,
range.m, ranks.m, run_count.m, runlength.m, skewness.m, spearman.m,
statistics.m, std.m, table.m, var.m, zscore.m, betacdf.m, betainv.m, betapdf.m,
betarnd.m, binocdf.m, binoinv.m, binopdf.m, binornd.m, cauchy_cdf.m,
cauchy_inv.m, cauchy_pdf.m, cauchy_rnd.m, chi2cdf.m, chi2inv.m, chi2pdf.m,
chi2rnd.m, discrete_cdf.m, discrete_inv.m, discrete_pdf.m, discrete_rnd.m,
empirical_cdf.m, empirical_inv.m, empirical_pdf.m, empirical_rnd.m, expcdf.m,
expinv.m, exppdf.m, exprnd.m, fcdf.m, finv.m, fpdf.m, frnd.m, gamcdf.m,
gaminv.m, gampdf.m, gamrnd.m, geocdf.m, geoinv.m, geopdf.m, geornd.m,
hygecdf.m, hygeinv.m, hygepdf.m, hygernd.m, kolmogorov_smirnov_cdf.m,
laplace_cdf.m, laplace_inv.m, laplace_pdf.m, laplace_rnd.m, logistic_cdf.m,
logistic_inv.m, logistic_pdf.m, logistic_rnd.m, logncdf.m, logninv.m,
lognpdf.m, lognrnd.m, nbincdf.m, nbininv.m, nbinpdf.m, nbinrnd.m, normcdf.m,
norminv.m, normpdf.m, normrnd.m, poisscdf.m, poissinv.m, poisspdf.m,
poissrnd.m, stdnormal_cdf.m, stdnormal_inv.m, stdnormal_pdf.m, stdnormal_rnd.m,
tcdf.m, tinv.m, tpdf.m, trnd.m, unidcdf.m, unidinv.m, unidpdf.m, unidrnd.m,
unifcdf.m, unifinv.m, unifpdf.m, unifrnd.m, wblcdf.m, wblinv.m, wblpdf.m,
wblrnd.m, kolmogorov_smirnov_test.m, kruskal_wallis_test.m, base2dec.m,
bin2dec.m, blanks.m, cstrcat.m, deblank.m, dec2base.m, dec2bin.m, dec2hex.m,
findstr.m, hex2dec.m, index.m, isletter.m, mat2str.m, rindex.m, str2num.m,
strcat.m, strjust.m, strmatch.m, strsplit.m, strtok.m, strtrim.m, strtrunc.m,
substr.m, validatestring.m, demo.m, example.m, fail.m, speed.m, addtodate.m,
asctime.m, clock.m, ctime.m, date.m, datenum.m, datetick.m, datevec.m,
eomday.m, etime.m, is_leap_year.m, now.m:
Use Octave coding conventions in all m-file %!test blocks
author | Rik <octave@nomad.inbox5.com> |
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date | Mon, 13 Feb 2012 07:29:44 -0800 |
parents | 72c96de7a403 |
children | 5d3a684236b0 |
rev | line source |
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maint: update copyright notices for 2012
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1 ## Copyright (C) 2007-2012 David Bateman |
6823 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
6823 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
14 ## | |
15 ## You should have received a copy of the GNU General Public License | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
6823 | 18 |
19 ## -*- texinfo -*- | |
6846 | 20 ## @deftypefn {Function File} {[@var{idx}, @var{p}] =} tsearchn (@var{x}, @var{t}, @var{xi}) |
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21 ## Search for the enclosing Delaunay convex hull. For @code{@var{t} = |
6823 | 22 ## delaunayn (@var{x})}, finds the index in @var{t} containing the |
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23 ## points @var{xi}. For points outside the convex hull, @var{idx} is NaN. |
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24 ## If requested @code{tsearchn} also returns the Barycentric coordinates @var{p} |
6823 | 25 ## of the enclosing triangles. |
26 ## @seealso{delaunay, delaunayn} | |
27 ## @end deftypefn | |
28 | |
29 function [idx, p] = tsearchn (x, t, xi) | |
30 if (nargin != 3) | |
31 print_usage (); | |
32 endif | |
33 | |
34 nt = size (t, 1); | |
35 [m, n] = size (x); | |
36 mi = size (xi, 1); | |
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37 idx = NaN (mi, 1); |
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38 p = NaN (mi, n + 1); |
6823 | 39 |
40 ni = [1:mi].'; | |
41 for i = 1 : nt | |
42 ## Only calculate the Barycentric coordinates for points that have not | |
43 ## already been found in a triangle. | |
44 b = cart2bary (x (t (i, :), :), xi(ni,:)); | |
45 | |
46 ## Our points xi are in the current triangle if | |
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47 ## (all(b >= 0) && all (b <= 1)). However as we impose that |
6823 | 48 ## sum(b,2) == 1 we only need to test all(b>=0). Note need to add |
49 ## a small margin for rounding errors | |
50 intri = all (b >= -1e-12, 2); | |
51 idx(ni(intri)) = i; | |
52 p(ni(intri),:) = b(intri, :); | |
53 ni(intri) = []; | |
54 endfor | |
55 endfunction | |
56 | |
57 function Beta = cart2bary (T, P) | |
58 ## Conversion of Cartesian to Barycentric coordinates. | |
59 ## Given a reference simplex in N dimensions represented by a | |
60 ## (N+1)-by-(N) matrix, and arbitrary point P in cartesion coordinates, | |
61 ## represented by a N-by-1 row vector can be written as | |
62 ## | |
63 ## P = Beta * T | |
64 ## | |
65 ## Where Beta is a N+1 vector of the barycentric coordinates. A criteria | |
66 ## on Beta is that | |
67 ## | |
68 ## sum (Beta) == 1 | |
69 ## | |
70 ## and therefore we can write the above as | |
71 ## | |
72 ## P - T(end, :) = Beta(1:end-1) * (T(1:end-1,:) - ones(N,1) * T(end,:)) | |
73 ## | |
74 ## and then we can solve for Beta as | |
75 ## | |
76 ## Beta(1:end-1) = (P - T(end,:)) / (T(1:end-1,:) - ones(N,1) * T(end,:)) | |
77 ## Beta(end) = sum(Beta) | |
78 ## | |
79 ## Note below is generalize for multiple values of P, one per row. | |
80 [M, N] = size (P); | |
81 Beta = (P - ones (M,1) * T(end,:)) / (T(1:end-1,:) - ones(N,1) * T(end,:)); | |
82 Beta (:,end+1) = 1 - sum(Beta, 2); | |
83 endfunction | |
84 | |
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85 |
6823 | 86 %!shared x, tri |
87 %! x = [-1,-1;-1,1;1,-1]; | |
88 %! tri = [1, 2, 3]; | |
89 %!test | |
90 %! [idx, p] = tsearchn (x,tri,[-1,-1]); | |
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91 %! assert (idx, 1); |
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92 %! assert (p, [1,0,0], 1e-12); |
6823 | 93 %!test |
94 %! [idx, p] = tsearchn (x,tri,[-1,1]); | |
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95 %! assert (idx, 1); |
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96 %! assert (p, [0,1,0], 1e-12); |
6823 | 97 %!test |
98 %! [idx, p] = tsearchn (x,tri,[1,-1]); | |
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99 %! assert (idx, 1); |
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100 %! assert (p, [0,0,1], 1e-12); |
6823 | 101 %!test |
102 %! [idx, p] = tsearchn (x,tri,[-1/3,-1/3]); | |
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103 %! assert (idx, 1); |
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104 %! assert (p, [1/3,1/3,1/3], 1e-12); |
6823 | 105 %!test |
106 %! [idx, p] = tsearchn (x,tri,[1,1]); | |
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107 %! assert (idx, NaN); |
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108 %! assert (p, [NaN, NaN, NaN]); |
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109 |