Advanced Programming Guide

More documents

Recommendations

Info

6.9 <strong>Programming</strong> with Color • 2811Blue=00.80.60.40.200.2 0.4 0.6 0.8 1Using AnimationYou can use animation to vary the blue component of the previous table.Example The following colormaps procedure uses animation to generatean m × n × f color table.> colormaps := proc(m, n, f)> local t;> PLOT( ANIMATE( seq( [ colormap(m, n, t/(f-1)) ],> t=0..f-1 ) ),> AXESLABELS("Red", "Green") );> end proc:The following gives you a 10 × 10 × 10 color table.> colormaps(10, 10, 10);You can create a color scale for HUE coloring as follows.> points := evalf( seq( [ [i/50, 0], [i/50, 1],> [(i+1)/50, 1], [(i+1)/50, 0] ],> i=0..49)):> PLOT( POLYGONS(points, COLOUR(HUE, seq(i/50, i=0..49)) ),> AXESTICKS(DEFAULT, 0), STYLE(PATCHNOGRID) );
282 • Chapter 6: <strong>Programming</strong> with Maple Graphics0.2 0.4 0.6 0.8 1The AXESTICKS(DEFAULT, 0) specification eliminates the axes labelingalong the vertical axis but leaves the default labeling along the horizontalaxis.You can create a colormapHue procedure which creates the color scalefor any color function based on HUE coloring.> colormapHue := proc(F, n)> local i, points;> points := seq( evalf( [ [i/n, 0], [i/n, 1],> [(i+1)/n, 1], [(i+1)/n, 0] ]> ), i=0..n-1 ):> PLOT( POLYGONS( points,> COLOUR(HUE, seq( evalf(F(i/n)), i=0.. n-1) )),> AXESTICKS(DEFAULT, 0), STYLE(PATCHNOGRID) );> end proc:The basis of this color scale is y(x) = sin(πx)/3 for 0 ≤ x ≤ 40.> colormapHue( x -> sin(Pi*x)/3, 40);0.2 0.4 0.6 0.8 1To create the grayscale coloring, use an arbitrary procedure, F , sincegray levels have equal parts of red, green, and blue.> colormapGraylevel := proc(F, n)> local i, flatten, points, grays;
Page 1 and 2:
command the brilliance of a thousan
Page 3 and 4:
ii•Waterloo Maple Inc.57 Erb Stre
Page 6 and 7:
Contents • v3.6 Interfaces and Im
Page 8 and 9:
Contents • viiPlotting Gears . .
Page 10 and 11:
Contents • ixForeign Data . . . .
Page 12 and 13:
1 Introduction1.1 Purpose of This B
Page 14 and 15:
2 Procedures, Variables,and Extendi
Page 16 and 17:
2.1 Nested Procedures • 5procedur
Page 18 and 19:
2.1 Nested Procedures • 7> A[j] :
Page 20 and 21:
2.1 Nested Procedures • 9> quicks
Page 22 and 23:
2.1 Nested Procedures • 11> U :=
Page 24 and 25:
2.2 Procedures That Return Procedur
Page 26 and 27:
2.2 Procedures That Return Procedur
Page 28 and 29:
2.3 Local Variables and Invoking Pr
Page 30 and 31:
assign(another_a = a);> eqn;2.3 Loc
Page 32 and 33:
[ seq( s[j][c[j]], j=1..2 ) ];2.3 L
Page 34 and 35:
2.3 Local Variables and Invoking Pr
Page 36 and 37:
2.4 Interactive Input • 25Improve
Page 38 and 39:
2.4 Interactive Input • 27> reads
Page 40 and 41:
2.5 Extending Maple • 29The parse
Page 42 and 43:
2.5 Extending Maple • 31> ‘type
Page 44 and 45:
2.5 Extending Maple • 33The follo
Page 46 and 47:
2.5 Extending Maple • 3556 IIn th
Page 48 and 49:
2.5 Extending Maple • 37Extending
Page 50 and 51:
2.5 Extending Maple • 39The useri
Page 52 and 53:
3 Programming withModulesProcedures
Page 54 and 55:
• 43> gentemp := proc()> count :=
Page 56 and 57:
3.1 Syntax and Semantics3.1 Syntax
Page 58 and 59:
3.1 Syntax and Semantics • 47name
Page 60 and 61:
3.1 Syntax and Semantics • 49> He
Page 62 and 63:
3.1 Syntax and Semantics • 51mode
Page 64 and 65:
3.1 Syntax and Semantics • 53The
Page 66 and 67:
3.1 Syntax and Semantics • 55true
Page 68 and 69:
3.1 Syntax and Semantics • 57modu
Page 70 and 71:
3.1 Syntax and Semantics • 59> m
Page 72 and 73:
This is achieved by the double assi
Page 74 and 75:
3.1 Syntax and Semantics • 63This
Page 76 and 77:
3.1 Syntax and Semantics • 65With
Page 78 and 79:
3.1 Syntax and Semantics • 67> wh
Page 80 and 81:
SpecFuncs := module()> export F; #
Page 82 and 83:
3.2 Records • 71b> evalb( % = b )
Page 84 and 85:
3.3 Packages • 73Packages in the
Page 86 and 87:
3.3 Packages • 751 −1 + 1 21k x
Page 88 and 89:
3.3 Packages • 77> "new types ‘
Page 90 and 91:
3.3 Packages • 79definition. This
Page 92 and 93:
3.3 Packages • 81true> member( 10
Page 94 and 95:
3.3 Packages • 83The display show
Page 96 and 97:
3.3 Packages • 85> end module:How
Page 98 and 99:
3.3 Packages • 87From the output
Page 100 and 101:
3.3 Packages • 89The final output
Page 102 and 103:
3.3 Packages • 91shape-specific f
Page 104 and 105:
3.3 Packages • 93The area Procedu
Page 106 and 107:
"but got %1", shape> end if;>> # Ex
Page 108 and 109:
3.4 The use Statement • 97> circl
Page 110 and 111:
3.4 The use Statement • 99use sta
Page 112 and 113:
3.4 The use Statement • 101C++),
Page 114 and 115:
3.5 Modeling Objects3.5 Modeling Ob
Page 116 and 117:
3.5 Modeling Objects • 10514 πFo
Page 118 and 119:
3.5 Modeling Objects • 107> nitem
Page 120 and 121:
3.5 Modeling Objects • 109> for i
Page 122 and 123:
3.5 Modeling Objects • 111> lengt
Page 124 and 125:
3.6 Interfaces and Implementations
Page 126 and 127:
Page 128 and 129:
Page 130 and 131:
Page 132 and 133:
Page 134 and 135:
Page 136 and 137:
Page 138 and 139:
Page 140 and 141:
Page 142 and 143:
Page 144 and 145:
(−2790 T 6 − 77814+ 1943715124T
Page 146 and 147:
Page 148 and 149:
Page 150 and 151:
Page 152 and 153:
Page 154 and 155:
Page 156 and 157:
Page 158 and 159:
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
4 Input and OutputAlthough Maple is
Page 168 and 169:
4.1 A Tutorial Example • 157Openi
Page 170 and 171:
4.1 A Tutorial Example • 159xy :=
Page 172 and 173:
Buffered Files:4.2 File Types and M
Page 174 and 175:
4.3 File Descriptors versus File Na
Page 176 and 177:
f := fopen("testFile.txt",WRITE):>
Page 178 and 179:
4.5 Input Commands • 167iostatus(
Page 180 and 181:
4.5 Input Commands • 169otherwise
Page 182 and 183:
4.5 Input Commands • 171y The nex
Page 184 and 185:
4.5 Input Commands • 173various c
Page 186 and 187:
4.5 Input Commands • 175Example T
Page 188 and 189:
4.6 Output Commands • 177One-Dime
Page 190 and 191:
4.6 Output Commands • 179the appr
Page 192 and 193:
4.6 Output Commands • 181Writing
Page 194 and 195:
4.6 Output Commands • 183z format
Page 196 and 197:
4.6 Output Commands • 185• If n
Page 198 and 199:
4.6 Output Commands • 187> writed
Page 200 and 201:
4.7 Conversion Commands • 189Conv
Page 202 and 203:
4.8 Notes to C Programmers • 191(
Page 204 and 205:
5 Numerical Programmingin MapleFloa
Page 206 and 207:
5.1 The Basics of evalf • 1953.14
Page 208 and 209:
5.2 Hardware Floating-Point Numbers
Page 210 and 211:
Page 212 and 213:
iterate(f, df, x0, N);> end proc:Us
Page 214 and 215:
Page 216 and 217:
5.3 Floating-Point Models in Maple
Page 218 and 219:
5.3 Floating-Point Models in Maple
Page 220 and 221:
5.4 Extending the evalf Command •
Page 222 and 223:
5.4 Extending the evalf Command •
Page 224 and 225:
5.5 Using the Matlab Package • 21
Page 226 and 227:
6 Programming with MapleGraphicsMap
Page 228 and 229:
6.1 Basic Plot Functions • 217If
Page 230 and 231:
6.2 Programming with Plotting Libra
Page 232 and 233:
Page 234 and 235:
Page 236 and 237:
6.3 Maple Plotting Data Structures
Page 238 and 239:
Page 240 and 241:
Page 242 and 243: PLOT( CURVES( points ) );6.3 Maple
Page 244 and 245: 6.3 Maple Plotting Data Structures
Page 246 and 247: 6.4 Programming with Plot Data Stru
Page 254 and 255: 6.5 Programming with the plottools
Page 268 and 269: 6.6 Vector Field Plots • 257Examp
Page 270 and 271: 6.6 Vector Field Plots • 259> end
Page 272 and 273: 6.6 Vector Field Plots • 261input
Page 274 and 275: 6.6 Vector Field Plots • 263> mak
Page 276 and 277: 6.6 Vector Field Plots • 265> vec
Page 278 and 279: 6.7 Generating Grids of Points •
Page 280 and 281: A := array(1..2, 1..2):> evalgrid(
Page 282 and 283: 6.8 Animation • 271The gridpoints
Page 284 and 285: 6.8 Animation • 2731.00.500. 0. 2
Page 286 and 287: 6.8 Animation • 275> partsum := p
Page 288 and 289: 6.8 Animation • 277Demonstrating
Page 290 and 291: plot3d( p, -3..3, -3..3, color=q );
Page 294 and 295: 6.9 Programming with Color • 283>
Page 296 and 297: 6.9 Programming with Color • 2851
Page 298 and 299: chessplot3d( sin(x)*sin(y), x=-Pi..
Page 300 and 301: 7 Advanced ConnectivityIn This Chap
Page 302 and 303: 7.1 Code Generation • 291Many opt
Page 304 and 305: 7.2 Using Compiled Code in Maple
Page 324 and 325: char * concat( char* a, char *b ){c
Page 330 and 331: myAdd = to_maple_integer( kv, r )EN
Page 334 and 335: to_maple_char( kv, c )to_maple_comp
Page 342 and 343:
7.2 Using Compiled Code in Maple
Page 344 and 345:
Page 346 and 347:
Page 348 and 349:
7.3 System Integrity • 337by anot
Page 350 and 351:
Table 7.3 Wrapper Compound TypesMap
Page 352 and 353:
AInternal Representationand Manipul
Page 354 and 355:
A.1 Internal Organization • 343wi
Page 356 and 357:
A.2 Internal Representations of Dat
Page 358 and 359:
Type Specification or TestA.2 Inter
Page 360 and 361:
Page 362 and 363:
Length: 3 or moreA.2 Internal Repre
Page 364 and 365:
Page 366 and 367:
Page 368 and 369:
Page 370 and 371:
Page 372 and 373:
Page 374 and 375:
Page 376 and 377:
Page 378 and 379:
A.3 The Use of Hashing in Maple •
Page 380 and 381:
Page 382 and 383:
Page 384 and 385:
Index%, 174&, 31accuracy, 193, 195,
Page 386 and 387:
Index • 375SAVE, 362SERIES, 363SE
Page 388 and 389:
Index • 377defining numeric, 210n
Page 390 and 391:
Index • 379name, 357name table, 3
Page 392 and 393:
Index • 381statements, 174strings
Page 394:
Waterloo Maple Inc.57 Erb Street We
show all

Advanced Programming Guide

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?