Advanced Programming Guide

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Index%, 174&, 31accuracy, 193, 195, 199, 267algebraic functions, 343anames, 370and, 345implies, 351xor, 366animations, 271data structures of, 271static form of, 272with backdrops, 274with display, 274, 277appendto, 187args, 46args, 16arguments, 221not passed, 304sequence of, 16Array, 204array, 371Arrays, 202arrays, 20, 184, 202and hardware floats, 202hardware floating-point, 204initializing, 21sorting, 6assign, 18assignmentmultiple, 259assignment statements, 345assume, 19, 35assumptions, 19automatic simplification, 18backdrops, 274BesselJ, 202Beta, 196binary, 345binding list, 100break, 46, 345buffered files, 160flushing, 187C, 290generating, 290notes, 191call by reference, 303ANYTHING, 303CALL_ONLY, 303RETURN_ONLY, 303Cartesian productsequence of sets, 20close, 164coeff, 343COLOR, 279HUE, 228POLYGONS, 279RGB, 232color, 225, 278adding, 283, 286color tables, 280, 281gray scale, 282HUE, 281columnsprinting, 157, 185reading, 175commandslong names of, 222Complex, 346complex numbers, 206imaginary unit, 33computing373
374 • Indexareas, 89circumferences, 89concatenation, 68, 346constantsdefining numeric, 208constructors, 103control, flow of, 343conversions, 305convertingexpressions to C, 290expressions to Fortran, 290expressions to Java, 290expressions to strings, 245,280grids to polygons, 286integers to string, 188meshes to polygons, 243, 255,286strings to bytes, 188strings to expressions, 28, 189to formatted strings, 190to PLOToptions, 236, 257CopyFile, 169, 181Copyright, 55coverage, 81datafrom other applications, 155reading from files, 158saving to file, 156data structures, 37for animations, 271for plotting, 224–226, 232length, 344manipulation, 343data typesAND, 345ASSIGN, 345BINARY, 345BREAK, 345CATENATE, 346COMPLEX, 346CONTROL, 346DCOLON, 347DEBUG, 347EQUATION, 347ERROR, 347EXPSEQ, 348FLOAT, 348FOR, 349FOREIGN, 349FUNCTION, 350GARBAGE, 350HASH, 368HASHTAB, 368HFLOAT, 350IF, 350IMPLIES, 351INEQUAT, 351INTNEG, 351INTPOS, 352LESSEQ, 352LESSTHAN, 353LEXICAL, 353LIST, 353LOCAL, 354MEMBER, 354MODDEF, 354MODULE, 356NAME, 356NEXT, 357NOT, 357OR, 357PARAM, 357POWER, 358PROC, 358PROD, 360RANGE, 360RATIONAL, 360READ, 360RETURN, 361RTABLE, 361, 371
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command the brilliance of a thousan
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ii•Waterloo Maple Inc.57 Erb Stre
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Contents • v3.6 Interfaces and Im
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Contents • viiPlotting Gears . .
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Contents • ixForeign Data . . . .
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1 Introduction1.1 Purpose of This B
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2 Procedures, Variables,and Extendi
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2.1 Nested Procedures • 5procedur
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2.1 Nested Procedures • 7> A[j] :
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2.1 Nested Procedures • 9> quicks
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2.1 Nested Procedures • 11> U :=
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2.2 Procedures That Return Procedur
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2.2 Procedures That Return Procedur
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2.3 Local Variables and Invoking Pr
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assign(another_a = a);> eqn;2.3 Loc
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[ seq( s[j][c[j]], j=1..2 ) ];2.3 L
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2.3 Local Variables and Invoking Pr
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2.4 Interactive Input • 25Improve
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2.4 Interactive Input • 27> reads
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2.5 Extending Maple • 29The parse
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2.5 Extending Maple • 31> ‘type
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2.5 Extending Maple • 33The follo
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2.5 Extending Maple • 3556 IIn th
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2.5 Extending Maple • 37Extending
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2.5 Extending Maple • 39The useri
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3 Programming withModulesProcedures
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• 43> gentemp := proc()> count :=
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3.1 Syntax and Semantics3.1 Syntax
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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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Page 350 and 351: Table 7.3 Wrapper Compound TypesMap
Page 352 and 353: AInternal Representationand Manipul
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Page 378 and 379: A.3 The Use of Hashing in Maple •
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
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Advanced Programming Guide

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