/usr/share/doc/libplplot12/examples/octave/x09c.m is in octave-plplot 5.10.0+dfsg-1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 | ## Copyright (C) 1998, 1999, 2000 Joao Cardoso.
##
## This program 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 2 of the License, or (at your
## option) any later version.
##
## This program 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.
##
## This file is part of plplot_octave.
## It is based on the corresponding demo function of PLplot.
## Does several contour plots using different coordinate mappings.
1;
global XPTS=35; ## Data points in x
global YPTS=46; ## Datat points in y
global tr = [2/(XPTS-1); 0.0; -1.0; 0.0; 2/(YPTS-1); -1.0];
function [tx ty] = mypltr(x, y)
global XPTS
global YPTS
global tr
tx = tr(1) * x + tr(2) * y + tr(3);
ty = tr(4) * x + tr(5) * y + tr(6);
endfunction
function _polar
plenv(-1., 1., -1., 1., 0, -2);
plcol0(1);
## Perimeter
PERIMETERPTS = 100;
RPTS = 40;
THETAPTS = 40;
i = 0:PERIMETERPTS-1;
t = (2.*pi/(PERIMETERPTS-1))*i;
px = cos(t);
py = sin(t);
plline(px', py');
## create data to be contoured
i = 0:RPTS-1;
r = i/(RPTS-1);
z = r'*ones(1,RPTS);
j = (0:THETAPTS-1)';
theta = (2.*pi/(THETAPTS-1))*j;
xg = cos(theta)*r;
yg = sin(theta)*r;
i = 0:9;
lev = 0.05 + 0.10* i';
plcol0(2);
plcont2(z, 1, RPTS, 1, THETAPTS, lev, xg', yg');
plcol0(1);
pllab("", "", "Polar Contour Plot");
endfunction
## shielded potential contour plot example.
function potential
PPERIMETERPTS = 100;
PRPTS = 40;
PTHETAPTS = 64;
PNLEVEL = 20;
## create data to be contoured
i = 0:PRPTS-1;
r = 0.5 + i;
j = (0:PTHETAPTS-1)';
theta = (2.*pi/(PTHETAPTS-1))*(0.5 + j);
xg = (cos(theta)*r)';
yg = (sin(theta)*r)';
rmax = max(r);
xmin = min(min(xg));
xmax = max(max(xg));
ymin = min(min(yg));
ymax = max(max(yg));
x0 = (xmin + xmax)/2;
y0 = (ymin + ymax)/2;
## Expanded limits
peps = 0.05;
xpmin = xmin - abs(xmin)*peps;
xpmax = xmax + abs(xmax)*peps;
ypmin = ymin - abs(ymin)*peps;
ypmax = ymax + abs(ymax)*peps;
## Potential inside a conducting cylinder (or sphere) by method of images.
## Charge 1 is placed at (d1, d1), with image charge at (d2, d2).
## Charge 2 is placed at (d1, -d1), with image charge at (d2, -d2).
## Also put in smoothing term at small distances.
eeps = 2.;
q1 = 1.;
d1 = rmax/4.;
q1i = - q1*rmax/d1;
d1i = rmax^2/d1;
q2 = -1.;
d2 = rmax/4.;
q2i = - q2*rmax/d2;
d2i = rmax^2/d2;
div1 = sqrt((xg-d1).^2 + (yg-d1).^2 + eeps^2);
div1i = sqrt((xg-d1i).^2 + (yg-d1i).^2 + eeps^2);
div2 = sqrt((xg-d2).^2 + (yg+d2).^2 + eeps^2);
div2i = sqrt((xg-d2i).^2 + (yg+d2i).^2 + eeps^2);
z = q1./div1 + q1i./div1i + q2./div2 + q2i./div2i;
zmin = min(min(z));
zmax = max(max(z));
## Positive and negative contour levels.
dz = (zmax-zmin)/ PNLEVEL;
i = 0:PNLEVEL-1;
clevel = zmin + ( i + 0.5)*dz;
clevelneg = clevel(clevel <= 0);
clevelpos = clevel(clevel > 0);
nlevelneg = columns( clevelneg);
nlevelpos = columns( clevelpos);
## Colours!
ncollin = 11;
ncolbox = 1;
ncollab = 2;
## Finally start plotting this page!
pladv(0);
plcol0(ncolbox);
plvpas(0.1, 0.9, 0.1, 0.9, 1.0);
plwind(xpmin, xpmax, ypmin, ypmax);
plbox("", 0., 0, "", 0., 0);
plcol0(ncollin);
if(nlevelneg >0)
## Negative contours
pllsty(2);
plcont2(z, 1, PRPTS, 1, PTHETAPTS, clevelneg', xg, yg);
endif
if(nlevelpos >0)
## Positive contours
pllsty(1);
plcont2(z, 1, PRPTS, 1, PTHETAPTS, clevelpos', xg, yg);
endif
## Draw outer boundary
i = 0:PPERIMETERPTS-1;
t = (2.*pi/(PPERIMETERPTS-1))*i;
px = x0 + rmax*cos(t);
py = y0 + rmax*sin(t);
plcol0(ncolbox);
plline(px', py');
plcol0(ncollab);
pllab("", "", "Shielded potential of charges in a conducting sphere");
endfunction
function ix09c
global XPTS
global YPTS
global tr
clevel = linspace(-1,1,11)';
## Hack to ensure that zero contour really is zero
## and not a very small number.
## For me problem only occurs on i386 32 bit Debian 3.1
## with octave 2.1.69.
## 64-bit Ubuntu Dapper with octave 2.1.72 seems ok.
clevel(6) = 0.0;
mark0 = []; space0 = [];
mark1 = [1500]; space1 = [1500];
## Parse and process command line arguments
## (void) plparseopts(&argc, argv, PL_PARSE_FULL);
## Initialize plplot
plinit();
## Set up function arrays
for i=0:XPTS-1
xx = (i - fix(XPTS / 2)) / fix(XPTS / 2);
yy = ((0:YPTS-1) - fix(YPTS / 2)) / fix(YPTS / 2) - 1.0;
z(i+1,:) = xx * xx - yy .* yy;
w(i+1,:) = 2 * xx .* yy;
endfor
## Plot using identity transform
if (0)
pl_setcontlabelparam(0.006, 0.3, 0.1, 0);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont(z, 1, XPTS, 1, YPTS, clevel, tr);
plstyl(mark1, space1);
plcol0(3);
plcont(w, 1, XPTS, 1, YPTS, clevel, tr);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
endif
pl_setcontlabelformat(4,3);
pl_setcontlabelparam(0.006, 0.3, 0.1, 1);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont(z, 1, XPTS, 1, YPTS, clevel, tr);
plstyl(mark1, space1);
plcol0(3);
plcont(w, 1, XPTS, 1, YPTS, clevel, tr);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
## Set up grids
for i=0:XPTS-1
[xx yy] = mypltr(i, (0:YPTS-1));
argx = xx * pi/2;
argy = yy * pi/2;
distort = 0.4;
xg3(i+1,:) = xx .+ distort .* cos(argx);
yg3(i+1,:) = yy .- distort .* cos(argy);
xg2(i+1,:) = xx .+ distort .* cos(argx) .* cos(argy);
yg2(i+1,:) = yy .- distort .* cos(argx) .* cos(argy);
endfor
xg1 = xg3(:,1);
yg1 = yg3(XPTS,:)';
## Plot using 1d coordinate transform
pl_setcontlabelparam(0.006, 0.3, 0.1, 0);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont1(z, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark1, space1);
plcol0(3);
plcont1(w, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
if(0)
pl_setcontlabelparam(0.006, 0.3, 0.1, 1);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont1(z, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark1, space1);
plcol0(3);
plcont1(w, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
endif
## Plot using 2d coordinate transform
pl_setcontlabelparam(0.006, 0.3, 0.1, 0);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont2(z, 1, XPTS, 1, YPTS, clevel, xg2, yg2);
plstyl(mark1, space1);
plcol0(3);
plcont2(w, 1, XPTS, 1, YPTS, clevel, xg2, yg2);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
if(0)
pl_setcontlabelparam(0.006, 0.3, 0.1, 1);
plenv(-1.0, 1.0, -1.0, 1.0, 0, 0);
plcol0(2);
plcont1(z, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark1, space1);
plcol0(3);
plcont1(w, 1, XPTS, 1, YPTS, clevel, xg1, yg1);
plstyl(mark0, space0);
plcol0(1);
pllab("X Coordinate", "Y Coordinate", "Streamlines of flow");
endif
pl_setcontlabelparam(0.006, 0.3, 0.1, 0);
_polar();
## pl_setcontlabelparam(0.006, 0.3, 0.1, 1);
## _polar();
pl_setcontlabelparam(0.006, 0.3, 0.1, 0);
potential();
## pl_setcontlabelparam(0.006, 0.3, 0.1, 1);
## potential();
plend1();
endfunction
ix09c
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