Advanced Programming Guide

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Contents • viiPlotting Gears . . . . . . . . . . . . . . . . . . . . . . . . 237Polygon Meshes . . . . . . . . . . . . . . . . . . . . . . . . 2416.5 Programming with the plottools Package . . . . . . . . 243A Pie Chart . . . . . . . . . . . . . . . . . . . . . . . . . . 244A Dropshadow Procedure . . . . . . . . . . . . . . . . . . 246Creating a Tiling . . . . . . . . . . . . . . . . . . . . . . . 248A Smith Chart . . . . . . . . . . . . . . . . . . . . . . . . 250Exercise . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251Modifying Polygon Meshes . . . . . . . . . . . . . . . . . 2516.6 Vector Field Plots . . . . . . . . . . . . . . . . . . . . . . 256Drawing a Vector . . . . . . . . . . . . . . . . . . . . . . . 256Generating a Vector Plot Field . . . . . . . . . . . . . . . 2586.7 Generating Grids of Points . . . . . . . . . . . . . . . . . 266Testing the Procedures . . . . . . . . . . . . . . . . . . . . 2706.8 Animation . . . . . . . . . . . . . . . . . . . . . . . . . . . 271Animation in Static Form . . . . . . . . . . . . . . . . . . 272Graphical Object as Input . . . . . . . . . . . . . . . . . . 273Methods for Creating Animations . . . . . . . . . . . . . . 274Two and Three Dimensions . . . . . . . . . . . . . . . . . 276Demonstrating Physical Objects in Motion . . . . . . . . 2776.9 Programming with Color . . . . . . . . . . . . . . . . . . . 278Generating Color Tables . . . . . . . . . . . . . . . . . . . 280Using Animation . . . . . . . . . . . . . . . . . . . . . . . 281Adding Color Information to Plots . . . . . . . . . . . . . 283Creating A Chess Board Plot . . . . . . . . . . . . . . . . 2866.10 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . 2877 Advanced Connectivity 289In This Chapter . . . . . . . . . . . . . . . . . . . . . . . 289Code Generation . . . . . . . . . . . . . . . . . . . . . . . 289Using Compiled Code in Maple . . . . . . . . . . . . . . . 289System Integrity . . . . . . . . . . . . . . . . . . . . . . . 2897.1 Code Generation . . . . . . . . . . . . . . . . . . . . . . . 289The CodeGeneration Package . . . . . . . . . . . . . . . . 289Calling CodeGeneration Functions . . . . . . . . . . . . . 290Translation Process . . . . . . . . . . . . . . . . . . . . . . 2917.2 Using Compiled Code in Maple . . . . . . . . . . . . . . . 293Method 1: Calling External Functions . . . . . . . . . . . 294External Definition . . . . . . . . . . . . . . . . . . . . . . 297Type Specification . . . . . . . . . . . . . . . . . . . . . . 298Scalar Data Formats . . . . . . . . . . . . . . . . . . . . . 298
viii • ContentsStructured Data Formats . . . . . . . . . . . . . . . . . . 300Specifying Argument Passing Conventions . . . . . . . . . 301Method 2: Generating Wrappers . . . . . . . . . . . . . . 301Additional Types and Options . . . . . . . . . . . . . . . 302Structured Data Formats . . . . . . . . . . . . . . . . . . 302Enumerated Types . . . . . . . . . . . . . . . . . . . . . . 302Procedure Call Formats . . . . . . . . . . . . . . . . . . . 303Call by Reference . . . . . . . . . . . . . . . . . . . . . . . 303Array Options . . . . . . . . . . . . . . . . . . . . . . . . 304Non-Passed Arguments . . . . . . . . . . . . . . . . . . . 304Argument Checking and Efficiency Considerations . . . . 305Conversions . . . . . . . . . . . . . . . . . . . . . . . . . . 305Compiler Options . . . . . . . . . . . . . . . . . . . . . . . 307Evaluation Rules . . . . . . . . . . . . . . . . . . . . . . . 311Method 3: Customizing Wrappers . . . . . . . . . . . . . . 313External Function Entry Point . . . . . . . . . . . . . . . 313Inspecting Automatically Generated Wrappers . . . . . . 315External API . . . . . . . . . . . . . . . . . . . . . . . . . 3197.3 System Integrity . . . . . . . . . . . . . . . . . . . . . . . 3377.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . 337A Internal Representation and Manipulation 341A.1 Internal Organization . . . . . . . . . . . . . . . . . . . . 341Components . . . . . . . . . . . . . . . . . . . . . . . . . . 342Internal Functions . . . . . . . . . . . . . . . . . . . . . . 342Flow of Control . . . . . . . . . . . . . . . . . . . . . . . . 343A.2 Internal Representations of Data Types . . . . . . . . . . 344Logical AND . . . . . . . . . . . . . . . . . . . . . . . . . 345Assignment Statement . . . . . . . . . . . . . . . . . . . . 345Binary Object . . . . . . . . . . . . . . . . . . . . . . . . . 345Break Statement . . . . . . . . . . . . . . . . . . . . . . . 345Name Concatenation . . . . . . . . . . . . . . . . . . . . . 346Complex Value . . . . . . . . . . . . . . . . . . . . . . . . 346Communications Control Structure . . . . . . . . . . . . . 346Type Specification or Test . . . . . . . . . . . . . . . . . . 347Debug . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 347Equation or Test for Equality . . . . . . . . . . . . . . . . 347Error Statement . . . . . . . . . . . . . . . . . . . . . . . 347Expression Sequence . . . . . . . . . . . . . . . . . . . . . 348Floating-Point Number . . . . . . . . . . . . . . . . . . . . 348For/While Loop Statement . . . . . . . . . . . . . . . . . 348
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 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
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Page 20 and 21: 2.1 Nested Procedures • 9> quicks
Page 22 and 23: 2.1 Nested Procedures • 11> U :=
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Page 36 and 37: 2.4 Interactive Input • 25Improve
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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
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Page 48 and 49: 2.5 Extending Maple • 37Extending
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Page 52 and 53: 3 Programming withModulesProcedures
Page 54 and 55: • 43> gentemp := proc()> count :=
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3.1 Syntax and Semantics • 47name
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3.1 Syntax and Semantics • 49> He
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3.1 Syntax and Semantics • 51mode
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3.1 Syntax and Semantics • 53The
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3.1 Syntax and Semantics • 55true
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3.1 Syntax and Semantics • 57modu
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3.1 Syntax and Semantics • 59> m
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This is achieved by the double assi
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3.1 Syntax and Semantics • 63This
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3.1 Syntax and Semantics • 65With
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3.1 Syntax and Semantics • 67> wh
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SpecFuncs := module()> export F; #
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3.2 Records • 71b> evalb( % = b )
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3.3 Packages • 73Packages in the
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3.3 Packages • 751 −1 + 1 21k x
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3.3 Packages • 77> "new types ‘
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3.3 Packages • 79definition. This
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3.3 Packages • 81true> member( 10
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3.3 Packages • 83The display show
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3.3 Packages • 85> end module:How
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3.3 Packages • 87From the output
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3.3 Packages • 89The final output
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3.3 Packages • 91shape-specific f
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3.3 Packages • 93The area Procedu
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"but got %1", shape> end if;>> # Ex
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3.4 The use Statement • 97> circl
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3.4 The use Statement • 99use sta
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3.4 The use Statement • 101C++),
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3.5 Modeling Objects3.5 Modeling Ob
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3.5 Modeling Objects • 10514 πFo
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3.5 Modeling Objects • 107> nitem
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3.5 Modeling Objects • 109> for i
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3.5 Modeling Objects • 111> lengt
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3.6 Interfaces and Implementations
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(−2790 T 6 − 77814+ 1943715124T
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4 Input and OutputAlthough Maple is
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4.1 A Tutorial Example • 157Openi
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4.1 A Tutorial Example • 159xy :=
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Buffered Files:4.2 File Types and M
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4.3 File Descriptors versus File Na
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f := fopen("testFile.txt",WRITE):>
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4.5 Input Commands • 167iostatus(
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4.5 Input Commands • 169otherwise
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4.5 Input Commands • 171y The nex
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4.5 Input Commands • 173various c
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4.5 Input Commands • 175Example T
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4.6 Output Commands • 177One-Dime
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4.6 Output Commands • 179the appr
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4.6 Output Commands • 181Writing
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4.6 Output Commands • 183z format
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4.6 Output Commands • 185• If n
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4.6 Output Commands • 187> writed
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4.7 Conversion Commands • 189Conv
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4.8 Notes to C Programmers • 191(
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5 Numerical Programmingin MapleFloa
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5.1 The Basics of evalf • 1953.14
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5.2 Hardware Floating-Point Numbers
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iterate(f, df, x0, N);> end proc:Us
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5.3 Floating-Point Models in Maple
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5.3 Floating-Point Models in Maple
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5.4 Extending the evalf Command •
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5.4 Extending the evalf Command •
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5.5 Using the Matlab Package • 21
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6 Programming with MapleGraphicsMap
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6.1 Basic Plot Functions • 217If
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6.2 Programming with Plotting Libra
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6.3 Maple Plotting Data Structures
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PLOT( CURVES( points ) );6.3 Maple
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6.4 Programming with Plot Data Stru
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6.5 Programming with the plottools
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6.6 Vector Field Plots • 257Examp
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6.6 Vector Field Plots • 259> end
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6.6 Vector Field Plots • 261input
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6.6 Vector Field Plots • 263> mak
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6.6 Vector Field Plots • 265> vec
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6.7 Generating Grids of Points •
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A := array(1..2, 1..2):> evalgrid(
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6.8 Animation • 271The gridpoints
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6.8 Animation • 2731.00.500. 0. 2
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6.8 Animation • 275> partsum := p
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6.8 Animation • 277Demonstrating
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plot3d( p, -3..3, -3..3, color=q );
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6.9 Programming with Color • 2811
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6.9 Programming with Color • 283>
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6.9 Programming with Color • 2851
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chessplot3d( sin(x)*sin(y), x=-Pi..
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7 Advanced ConnectivityIn This Chap
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7.1 Code Generation • 291Many opt
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7.2 Using Compiled Code in Maple
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char * concat( char* a, char *b ){c
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myAdd = to_maple_integer( kv, r )EN
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to_maple_char( kv, c )to_maple_comp
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7.3 System Integrity • 337by anot
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Table 7.3 Wrapper Compound TypesMap
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AInternal Representationand Manipul
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A.1 Internal Organization • 343wi
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A.2 Internal Representations of Dat
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Type Specification or TestA.2 Inter
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Length: 3 or moreA.2 Internal Repre
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A.3 The Use of Hashing in Maple •
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Index%, 174&, 31accuracy, 193, 195,
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Index • 375SAVE, 362SERIES, 363SE
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Index • 377defining numeric, 210n
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Index • 379name, 357name table, 3
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Index • 381statements, 174strings
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Waterloo Maple Inc.57 Erb Street We
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