summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/doc/metapost/featpost/example/A131.mp
blob: fd803cc472edc6219a91ac551a28456e73d63f3f (plain)
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
% A131.mp
% P. J. Sebastiao
% 2012

input featpost3Dplus2D;

prologues:=3;

verbatimtex
  \documentclass{article}
  \usepackage{amsmath,amssymb}
  \begin{document}
etex

beginfig(1);
    color orig, axxc, ayyc, azzc,ngorig, ngorigb;
    color field, nalfa, ngamma[], alfacnt, gammacnt, nazy, nax,nalfaz, alfacntb, gammacntb,ngammab[],nazyb, naxb;
    path alfa, gamma, alfab, gammab;
    numeric nalfad, theta, radius, gradius, gammang, xxsize, yysize, zzsize, thetb, radiusb;
    numeric xxpos, yypos, zzpos, fieldpos, deltarad, deltapos;
    numeric thetarad, thetapos, nalfapos, ngammapos,veccpos;
    numeric etalpharad, etalphapos, alphapos, gammapos;
    picture xxlabel, yylabel, zzlabel, fieldlabel, deltalabel, xxcalabel,yycalabel, phimlabel, phiMlabel;
    picture nalfalabel, ngammalabel, etalphalabel, alphalabel;
    picture gammalabel, thetalabel,vecclabel, thetalabelb, corelabel;
    
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%ShiftV := origin;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

    f 			:= (3,4,2);
    Spread 		:= 100;
    xxsize 		:= 0.8;
    xxpos 		:= 6;
    yysize 		:= 0.8;
    yypos 		:= 6;
    zzsize 		:= 1.3;
    zzpos 		:= 4;
    field 		:= (0.56,0.3,0.5);
    fieldpos 		:= 2;
    deltarad 		:= 0.45;
    deltapos 		:= 3;
    nalfad 		:= 0.8;
    theta 		:= 25;
    thetb 		:= 18;
    thetarad 		:= 0.3;
    thetapos 		:= 2;
    nalfapos 		:= 7;
    gammang 		:= -20;
    ngammapos 		:= 4;
    etalpharad 		:= 0.4;
    etalphapos 		:= 4;
    alphapos 		:= 6;
    gammapos 		:= 6;
    veccpos             := 3;

    xxcalabel   = btex $x_{\mbox{\protect \scriptsize layer}}$ etex;
    yycalabel   = btex $y_{\mbox{\protect \scriptsize layer}}$ etex;
    xxlabel 	= btex $x_{\mbox{\protect \scriptsize} M}$ etex;
    yylabel 	= btex $y_{\mbox{\protect \scriptsize M}}$ etex;
    zzlabel 	= btex $z_{\mbox{\protect \scriptsize M}}$ etex;
    corelabel 	= btex $\mbox{core}$ etex;
    deltalabel 	= btex $\beta$ etex;
    fieldlabel 	= btex $\mathbf{n}$ etex;
    thetalabel 	= btex $\theta_1$ etex;
    thetalabelb	= btex $\theta_2$ etex;
    nalfalabel 	= btex $\mathbf{n}_\alpha$ etex;
    ngammalabel = btex $\mathbf{ch}$ etex;
    etalphalabel= btex $\eta_\alpha$ etex;
    alphalabel 	= btex $\alpha$ etex;
    phimlabel 	= btex $-\phi_{\mbox{\protect \scriptsize 0}}/2$ etex;
    phiMlabel 	= btex $\phi_{\mbox{\protect \scriptsize 0}}/2$ etex;
    gammalabel 	= btex $\gamma$ etex;
    vecclabel 	= btex $\mathbf{c}$ etex;
    orig 		= (0,0,0);
    axxc 		= (xxsize,0,0);
    ayyc 		= (0,yysize,0);
    azzc 		= (0,0,zzsize);
    nalfa 		= (-nalfad*sind(theta)*cosd(90),nalfad*sind(theta)*sind(90),nalfad*cosd(theta));
    nalfaz 		= (-nalfad*sind(thetb)*cosd(90),nalfad*sind(thetb)*sind(90),-nalfad*cosd(thetb));
    alfacnt 		= (0,0,nalfad*cosd(theta));
    alfacntb 		= (0,0,-nalfad*cosd(thetb));
    radius 		= nalfad*sind(theta);
    radiusb 		= nalfad*sind(thetb);
    gradius             = 0.5*radius;
    alfa 		= rigorouscircle( alfacnt, (0,0,1), radius );
    alfab 		= rigorouscircle( alfacntb, (0,0,1), radiusb );
    ngorig              = orig+nalfa;
    ngorigb             = orig+nalfaz;
    gammacnt 		= cosd(theta)*cosd(theta)*nalfa+0.75*nalfa;
    gammacntb 		= cosd(theta)*cosd(theta)*nalfaz+0.75*nalfaz;
    radius 		:= cosd(theta)*sind(theta);
    gamma 		= rigorouscircle( gammacnt, nalfa, gradius );
    gammab 		= rigorouscircle( gammacntb, nalfaz, gradius );
    
    pickup pencircle scaled 1;

    for i=0 step 40 until 0:
       nazy 		:= gradius*sind(gammang+i)*ncrossprod( nalfa, axxc );
       nax 		:= gradius*cosd(gammang+i)*ncrossprod( ayyc, nalfa );
       ngamma[i] 	:= gammacnt+nax+nazy;
       draw rp(ngorig)..rp(ngamma[i]);
       nazyb 		:= gradius*sind(gammang+i)*ncrossprod( nalfaz, axxc );
       naxb 		:= gradius*cosd(gammang+i)*ncrossprod( ayyc, nalfaz );
       ngammab[i] 	:= gammacntb+naxb+nazyb;
       draw rp(ngorigb)..rp(ngammab[i]);
    endfor;
    
    pickup pencircle scaled 0.5;

    draw alfa dashed evenly;
    draw alfab dashed evenly;

    drawarrow rp(orig)..rp(axxc);
    drawarrow rp(orig)..rp(ayyc);
    drawarrow rp(-azzc)..rp(azzc);
    drawarrow rp(orig)..rp(2*field);
    pickup pencircle scaled 2;
    draw rp(orig)..rp(nalfa);
    draw rp(orig)..rp(nalfa);
    draw rp(orig)..rp(nalfaz);
    pickup pencircle scaled 0.5;
    draw rp(nalfa)..rp(gammacnt) dashed evenly;
    draw rp(nalfaz)..rp(gammacntb) dashed evenly;
%    draw subpath (3.05,1.05) of alfa;
%    drawarrow subpath (4,3) of alfa;
%    draw subpath (0,1.3) of gamma;
%    draw subpath (7.5,8) of gamma;
%    drawarrow subpath (1,2) of gamma;
    anglinen( field, azzc, orig, deltarad, deltalabel, deltapos );	
    anglinen( azzc, nalfa, orig, thetarad*1.5, thetalabel, thetapos );	
    anglinen( nalfaz, -azzc, orig, thetarad*2, thetalabelb, thetapos );	
%    anglinen( nalfa, nalfaz, orig, thetarad*1.25, btex $\Delta$ etex, 5 );	
%    anglinen( ngamma0, field, orig, etalpharad, etalphalabel, etalphapos );
    labeln( xxlabel, rp(axxc), xxpos );
    labeln( yylabel, rp(ayyc), yypos );
    labeln( zzlabel, rp(azzc), zzpos );
    labeln( corelabel, rp(orig+(0.2,-0.1,-0.2)), 1 );
    labeln( fieldlabel, rp(2*field), fieldpos );
%    labeln( nalfalabel, rp(nalfa), nalfapos );
    labeln( ngammalabel, rp(ngamma0), ngammapos );
    labeln( ngammalabel, rp(ngammab0), 1 );
    labeln( phiMlabel, point 1 of alfa, 7 );
    labeln( phimlabel, point 4 of alfa, 5 );
    labeln( phiMlabel, point 0.4 of alfab, 7 );
    labeln( phimlabel, point 3.5 of alfab,4 );
%    labeln( gammalabel, point 8 of gamma, gammapos );
%    labeln( yycalabel, rp(gammacnt+1.3*radius*(-1,0,0)), 0);
%    labeln( xxcalabel, rp(gammacnt+1.3*radius*(0,1,-sind(theta))), 0);
    pickup pencircle scaled 1.5;
%    draw rp(alfacnt);
%    draw rp(gammacnt);
    pickup pencircle scaled 0.5;

    path arco, recta_um, recta_dois, recta_xlayer, path_ngamma;
    path arcob, recta_umb, recta_doisb ;
    pickup pencircle scaled 0.5;
    recta_um   = rp(alfacnt)--rp(alfacnt+nalfad*1.4*radius*(1,0,0));
    recta_dois = rp(alfacnt)--rp(alfacnt+nalfad*1.4*radius*(0,1,0));
    draw recta_um;  
    draw recta_dois;
    draw rp(nalfa)..rp((0,nalfad*sind(theta)*sind(90),-nalfad*cosd(thetb))) dashed evenly;
    
    recta_umb   = rp(alfacntb)--rp(alfacntb+nalfad*1.4*radius*(1,0,0));
    recta_doisb = rp(alfacntb)--rp(alfacntb+nalfad*1.4*radius*(0,1,0));
    draw recta_umb;  
    draw recta_doisb;

    pickup pencircle scaled 1;
    arco = (alfa cutbefore recta_dois) cutafter recta_um;
    draw arco;
    arcob = (alfab cutbefore recta_doisb) cutafter recta_umb;
    draw arcob;


    pickup pencircle scaled 0.5;
 %   drawarrow rp(gammacnt)--rp(gammacnt+1.3*radius*(-1,0,0));

    path_ngamma = rp(gammacnt)--rp(ngamma0)--rp((0,0,0));
%    draw path_ngamma;
%%% c vector
    draw rp(gammacnt)--rp(ngamma0) dashed evenly;
    draw rp(gammacntb)--rp(ngammab0) dashed evenly;

    recta_xlayer = rp(gammacnt)--rp(gammacnt+1.3*radius*(0,1,-sind(theta)));
%    drawarrow recta_xlayer;

    pickup pencircle scaled 0.5;

    arco := (gamma cutbefore recta_xlayer) cutafter path_ngamma; 
    draw gamma dashed evenly;
    draw gammab dashed evenly;
    undraw arco;
    
    pickup pencircle scaled 0.5;
    draw gamma dashed evenly;
    
%    draw subpath (0,0.9) of gamma;
%    draw subpath (7.6,8) of gamma;
%    draw subpath (1.5,8) of gamma;
    draw subpath (3.2,1.2) of alfa;
%    labeln( vecclabel, rp(ngamma0), veccpos);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    picture schemepic;
    schemepic = currentpicture;
  numeric initang, stampnum, stepang, stampoffset;
  stampnum = 15;
  stampoffset = 0.2mm;
  initang = 180/stampnum;
  stepang = 2*initang;
  drawoptions();
  for i=0 upto (stampnum-1):
    draw schemepic 
      shifted (stampoffset*dir(initang+i*stepang))
      withcolor (blue+green);
  endfor;
  draw schemepic; 
endfig;

verbatimtex \end{document} etex

end;