1
2
3\environment luametafunstyle
4
5\startcomponent luametafunfunction
6
7\startchapter[title={Function}]
8
9It is tempting to make helpers that can do a lot. However, that also means that
10we need to explain a lot. Instead it makes more sense to have specific helpers
11and just make another one when needed. Rendering functions falls into this
12category. At some point users will come up with specific cases that other users
13can use. Therefore, the solution presented here is not the ultimate answer. We
14start with a simple example:
15
16\startbuffer[1]
17\startMPcode{doublefun}
18 draw lmt_function [
19 xmin = 0, xmax = 20, xstep = .1,
20 ymin = -2, ymax = 2,
21
22 sx = 1mm, xsmall = 80, xlarge = 20,
23 sy = 4mm, ysmall = 40, ylarge = 4,
24
25 linewidth = .025mm, offset = .1mm,
26
27 code = "1.5 * math.sind (50 * x - 150)",
28 ]
29 xsized 8cm
30 ;
31\stopMPcode
32\stopbuffer
33
34\startplacefigure
35 \getbuffer[1]
36\stopplacefigure
37
38This image is defined as follows:
39
40\typebuffer[1][option=TEX]
41
42\startbuffer[2]
43\startMPcode{doublefun}
44 draw lmt_function [
45 xmin = 0, xmax = 20, xstep = .1,
46 ymin = -2, ymax = 2,
47
48 sx = 1mm, xsmall = 80, xlarge = 20,
49 sy = 4mm, ysmall = 40, ylarge = 4,
50
51 linewidth = .025mm, offset = .1mm,
52
53 xticks = "bottom",
54 yticks = "left",
55 xlabels = "nolimits",
56 ylabels = "yes",
57 code = "1.5 * math.sind (50 * x - 150)",
58
59 frame = "sticks",
60 ycaption = "\strut \rotate[rotation=90]{something vertical, using $\sin{x}$}",
61 xcaption = "\strut something horizontal",
62 functions = {
63 [ xmin = 1.0, xmax = 7.0, close = true, fillcolor = "darkred" ],
64 [ xmin = 7.0, xmax = 12.0, close = true, fillcolor = "darkgreen" ],
65 [ xmin = 12.0, xmax = 19.0, close = true, fillcolor = "darkblue" ],
66 [
67 drawcolor = "darkyellow",
68 drawsize = 2
69 ]
70 }
71 ]
72 xsized TextWidth
73 ;
74\stopMPcode
75\stopbuffer
76
77We can draw multiple functions in one go. The next sample split the drawing over
78a few ranges and is defined as follows; in \in {figure} [function:2] we see the
79result.
80
81\typebuffer[2][option=TEX]
82
83
84\startplacefigure[reference=function:2]
85 \getbuffer[2]
86\stopplacefigure
87
88Instead of the same function, we can draw different ones and when we use transparency
89we get nice results too.
90
91\startbuffer[3]
92\definecolor[MyColorR][r=.5,t=.5,a=1]
93\definecolor[MyColorG][g=.5,t=.5,a=1]
94\definecolor[MyColorB][b=.5,t=.5,a=1]
95
96\startMPcode{doublefun}
97 draw lmt_function [
98 xmin = 0, xmax = 20, xstep = .1,
99 ymin = -1, ymax = 1,
100
101 sx = 1mm, xsmall = 80, xlarge = 20,
102 sy = 4mm, ysmall = 40, ylarge = 4,
103
104 linewidth = .025mm, offset = .1mm,
105
106 functions = {
107 [
108 code = "math.sind (50 * x - 150)",
109 close = true,
110 fillcolor = "MyColorR"
111 ],
112 [
113 code = "math.cosd (50 * x - 150)",
114 close = true,
115 fillcolor = "MyColorB"
116 ]
117 },
118 ]
119 xsized TextWidth
120 ;
121\stopMPcode
122\stopbuffer
123
124\typebuffer[3][option=TEX]
125
126\startplacefigure[reference=function:3]
127 \getbuffer[3]
128\stopplacefigure
129
130It is important to choose a good step. In \in {figure} [function:4] we show 4
131variants and it is clear that in this case using straight line segments is better
132(or at least more efficient with small steps).
133
134\startbuffer[4a]
135\startMPcode{doublefun}
136 draw lmt_function [
137 xmin = 0, xmax = 10, xstep = .1,
138 ymin = -1, ymax = 1,
139
140 sx = 1mm, sy = 4mm,
141
142 linewidth = .025mm, offset = .1mm,
143
144 code = "math.sind (50 * x^2 - 150)",
145 shape = "curve"
146 ]
147 xsized .45TextWidth
148 ;
149\stopMPcode
150\stopbuffer
151
152\startbuffer[4b]
153\startMPcode{doublefun}
154 draw lmt_function [
155 xmin = 0, xmax = 10, xstep = .01,
156 ymin = -1, ymax = 1,
157
158 sx = 1mm, sy = 4mm,
159
160 linewidth = .025mm, offset = .1mm,
161
162 code = "math.sind (50 * x^2 - 150)",
163 shape = "curve"
164 ]
165 xsized .45TextWidth
166 ;
167\stopMPcode
168\stopbuffer
169
170\startbuffer[4c]
171\startMPcode{doublefun}
172 draw lmt_function [
173 xmin = 0, xmax = 10, xstep = .1,
174 ymin = -1, ymax = 1,
175
176 sx = 1mm, sy = 4mm,
177
178 linewidth = .025mm, offset = .1mm,
179
180 code = "math.sind (50 * x^2 - 150)",
181 shape = "line"
182 ]
183 xsized .45TextWidth
184 ;
185\stopMPcode
186\stopbuffer
187
188\startbuffer[4d]
189\startMPcode{doublefun}
190 draw lmt_function [
191 xmin = 0, xmax = 10, xstep = .01,
192 ymin = -1, ymax = 1,
193
194 sx = 1mm, sy = 4mm,
195
196 linewidth = .025mm, offset = .1mm,
197
198 code = "math.sind (50 * x^2 - 150)",
199 shape = "line"
200 ]
201 xsized .45TextWidth
202 ;
203\stopMPcode
204\stopbuffer
205
206\typebuffer[4a][option=TEX]
207
208\startplacefigure[reference=function:4]
209 \startcombination[2*2]
210 {\getbuffer[4a]} {\type {xstep=.10} and \type {shape="curve"}}
211 {\getbuffer[4b]} {\type {xstep=.01} and \type {shape="curve"}}
212 {\getbuffer[4c]} {\type {xstep=.10} and \type {shape="line"}}
213 {\getbuffer[4d]} {\type {xstep=.01} and \type {shape="line"}}
214 \stopcombination
215\stopplacefigure
216
217You can manipulate the axis (a bit) by tweaking the first and last ticks. In the
218case of \in {figure} [function:5] we also put the shape on top of the axis.
219
220\startbuffer[5]
221\startMPcode{doublefun}
222 draw lmt_function [
223 xfirst = 9, xlast = 21, ylarge = 2, ysmall = 15,
224 yfirst = -1, ylast = 1, xlarge = 2, xsmall = 14,
225
226 xmin = 10, xmax = 20, xstep = .25,
227 ymin = -1, ymax = 1,
228
229 drawcolor = "darkmagenta",
230 shape = "steps",
231 code = "0.5 * math.random(-2,2)",
232 linewidth = .025mm,
233 offset = .1mm,
234 reverse = true,
235 ]
236 xsized TextWidth
237 ;
238\stopMPcode
239\stopbuffer
240
241\typebuffer[5][option=TEX]
242
243\startplacefigure[reference=function:5]
244 \getbuffer[5]
245\stopplacefigure
246
247The whole repertoire of parameters (in case of doubt just check the source code as this
248kind of code is not that hard to follow) is:
249
250\starttabulate[TTTp]
251\FL
252\BC name \BC type \BC default \BC comment \NC \NR
253\ML
254\NC sx \NC numeric \NC 1mm \NC horizontal scale factor \NC \NR
255\NC sy \NC numeric \NC 1mm \NC vertical scale factor \NC \NR
256\NC offset \NC numeric \NC 0 \NC \NC \NR
257\NC xmin \NC numeric \NC 1 \NC \NC \NR
258\NC xmax \NC numeric \NC 1 \NC \NC \NR
259\NC xstep \NC numeric \NC 1 \NC \NC \NR
260\NC xsmall \NC numeric \NC \NC optional step of small ticks \NC \NR
261\NC xlarge \NC numeric \NC \NC optional step of large ticks \NC \NR
262\NC xlabels \NC string \NC no \NC \type {yes}, \type {no} or \type {nolimits} \NC \NR
263\NC xticks \NC string \NC bottom \NC possible locations are \type {top}, \type {middle} and \type {bottom} \NC \NR
264\NC xcaption \NC string \NC \NC \NC \NR
265\NC ymin \NC numeric \NC 1 \NC \NC \NR
266\NC ymax \NC numeric \NC 1 \NC \NC \NR
267\NC ystep \NC numeric \NC 1 \NC \NC \NR
268\NC ysmall \NC numeric \NC \NC optional step of small ticks \NC \NR
269\NC ylarge \NC numeric \NC \NC optional step of large ticks \NC \NR
270\NC xfirst \NC numeric \NC \NC left of \type {xmin} \NC \NR
271\NC xlast \NC numeric \NC \NC right of \type {xmax} \NC \NR
272\NC yfirst \NC numeric \NC \NC below \type {ymin} \NC \NR
273\NC ylast \NC numeric \NC \NC above \type {ymax} \NC \NR
274\NC ylabels \NC string \NC no \NC \type {yes}, \type {no} or \type {nolimits} \NC \NR
275\NC yticks \NC string \NC left \NC possible locations are \type {left}, \type {middle} and \type {right} \NC \NR
276\NC ycaption \NC string \NC \NC \NC \NR
277\NC code \NC string \NC \NC \NC \NR
278\NC close \NC boolean \NC false \NC \NC \NR
279\NC shape \NC string \NC curve \NC or \type {line} \NC \NR
280\NC fillcolor \NC string \NC \NC \NC \NR
281\NC drawsize \NC numeric \NC 1 \NC \NC \NR
282\NC drawcolor \NC string \NC \NC \NC \NR
283\NC frame \NC string \NC \NC options are \type {yes}, \type {ticks} and \type {sticks} \NC \NR
284\NC linewidth \NC numeric \NC .05mm \NC \NC \NR
285\NC pointsymbol \NC string \NC \NC like type {dots} \NC \NR
286\NC pointsize \NC numeric \NC 2 \NC \NC \NR
287\NC pointcolor \NC string \NC \NC \NC \NR
288\NC xarrow \NC string \NC \NC \NC \NR
289\NC yarrow \NC string \NC \NC \NC \NR
290\NC reverse \NC boolean \NC false \NC when \type {true} draw the function between axis and labels \NC \NR
291\LL
292\stoptabulate
293
294\stopchapter
295
296\stopcomponent
297 |
