From 1cd844f0459df9d264c5552047af320b378df8ba Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Tue, 16 Aug 2022 17:16:27 +0200
Subject: kugel: Reorganize figures directory, add tikz spherical coordinates
 and flux

---
 buch/papers/kugel/images/spherecurve.m | 160 ---------------------------------
 1 file changed, 160 deletions(-)
 delete mode 100644 buch/papers/kugel/images/spherecurve.m

(limited to 'buch/papers/kugel/images/spherecurve.m')

diff --git a/buch/papers/kugel/images/spherecurve.m b/buch/papers/kugel/images/spherecurve.m
deleted file mode 100644
index 99d5c9a..0000000
--- a/buch/papers/kugel/images/spherecurve.m
+++ /dev/null
@@ -1,160 +0,0 @@
-#
-# spherecurve.m
-#
-# (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-#
-global a;
-a = 5;
-global A;
-A = 10;
-
-phisteps = 400;
-hphi = 2 * pi / phisteps;
-thetasteps = 200;
-htheta = pi / thetasteps;
-
-function retval = f(z)
-	global a;
-	global A;
-	retval = A * exp(a * (z^2 - 1));
-endfunction
-
-function retval = g(z)
-	global a;
-	retval = -f(z) * 2 * a * (2 * a * z^4 + (3 - 2*a) * z^2 - 1);
-	#                                                              2
-	#                   - a     2  4             2   2          a z
-	#(%o6)          - %e    (4 a  z  + (6 a - 4 a ) z  - 2 a) %e
-endfunction
-
-phi = (1 + sqrt(5)) / 2;
-
-global axes;
-axes = [
-     0,   0,   1,  -1, phi, -phi;
-     1,  -1, phi, phi,   0,    0;
-   phi, phi,   0,   0,   1,    1;
-];
-axes = axes / (sqrt(phi^2+1));
-
-function retval = kugel(theta, phi)
-	retval = [
-	    cos(phi) * sin(theta);
-	    sin(phi) * sin(theta);
-	               cos(theta)
-	];
-endfunction
-
-function retval = F(v)
-	global axes;
-	s = 0;
-	for i = (1:6)
-		z = axes(:,i)' * v;
-		s = s + f(z);
-	endfor
-	retval = s / 6;
-endfunction
-
-function retval = F2(theta, phi)
-	v = kugel(theta, phi);
-	retval = F(v);
-endfunction
-
-function retval = G(v)
-	global axes;
-	s = 0;
-	for i = (1:6)
-		s = s + g(axes(:,i)' * v);
-	endfor
-	retval = s / 6;
-endfunction
-
-function retval = G2(theta, phi)
-	v = kugel(theta, phi);
-	retval = G(v);
-endfunction
-
-function retval = cnormalize(u)
-	utop = 11;
-	ubottom = -30;
-	retval = (u - ubottom)  / (utop - ubottom);
-	if (retval > 1) 
-		retval = 1;
-	endif
-	if (retval < 0)
-		retval = 0;
-	endif
-endfunction
-
-global umin;
-umin = 0;
-global umax;
-umax = 0;
-
-function color = farbe(v)
-	global umin;
-	global umax;
-	u = G(v);
-	if (u < umin) 
-		umin = u;
-	endif
-	if (u > umax)
-		umax = u;
-	endif
-	u = cnormalize(u);
-	color = [ u, 0.5, 1-u ];
-	color = color/max(color);
-endfunction
-
-function dreieck(fn, v0, v1, v2)
-	fprintf(fn, "    mesh {\n");
-	c = (v0 + v1 + v2) / 3;
-	c = c / norm(c);
-	color = farbe(c);
-	v0 = v0 * (1 + F(v0));
-	v1 = v1 * (1 + F(v1));
-	v2 = v2 * (1 + F(v2));
-	fprintf(fn, "\ttriangle {\n");
-	fprintf(fn, "\t    <%.6f,%.6f,%.6f>,\n", v0(1,1), v0(3,1), v0(2,1));
-	fprintf(fn, "\t    <%.6f,%.6f,%.6f>,\n", v1(1,1), v1(3,1), v1(2,1));
-	fprintf(fn, "\t    <%.6f,%.6f,%.6f>\n",  v2(1,1), v2(3,1), v2(2,1));
-	fprintf(fn, "\t}\n");
-	fprintf(fn, "\tpigment { color rgb<%.4f,%.4f,%.4f> }\n",
-		color(1,1), color(1,2), color(1,3));
-	fprintf(fn, "\tfinish { metallic specular 0.5 }\n");
-	fprintf(fn, "    }\n");
-endfunction
-
-fn = fopen("spherecurve2.inc", "w");
-
-	for i = (1:phisteps)
-		# Polkappe nord
-		v0 = [ 0; 0; 1 ];
-		v1 = kugel(htheta, (i-1) * hphi);
-		v2 = kugel(htheta,  i    * hphi);
-		fprintf(fn, "    // i = %d\n", i);
-		dreieck(fn, v0, v1, v2);
-
-		# Polkappe sued
-		v0 = [ 0; 0; -1 ];
-		v1 = kugel(pi-htheta, (i-1) * hphi);
-		v2 = kugel(pi-htheta,  i    * hphi);
-		dreieck(fn, v0, v1, v2);
-	endfor
-
-	for j = (1:thetasteps-2)
-		for i = (1:phisteps)
-			v0 = kugel( j    * htheta, (i-1) * hphi);
-			v1 = kugel((j+1) * htheta, (i-1) * hphi);
-			v2 = kugel( j    * htheta,  i    * hphi);
-			v3 = kugel((j+1) * htheta,  i    * hphi);
-			fprintf(fn, "    // i = %d, j = %d\n", i, j);
-			dreieck(fn, v0, v1, v2);
-			dreieck(fn, v1, v2, v3);
-		endfor
-	endfor
-
-fclose(fn);
-
-umin
-umax
-- 
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