Advanced Programming Guide

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Index • 379name, 357name table, 369named modules, 47nameswith a tilde, 19nargs, 46negative integer, 351nested modules, 56nested procedures, 3, 15neutral operators, 31defining, 32infix, 32newline character, 161Newton’s method, 12, 200next, 46, 357nops, 21not, 357numeric estimate, 12numeric event, 206numerical integration, 195, 197numerical limits, 197numerical programming, 193numerical sums, 197numerics, 206objects, 42, 103modeling, 102op, 343open, 164operator rebinding, 100operators, 31*, 33neutral, 31your own, 31optionsconverting to PLOToptions,236, 257global, 228, 241local, 227, 228, 241, 257processing, 222, 236type equals numeric, 12or, 357organizationinternal, 341outputcontrolling, 176rounding, 157package, 55packages, 41, 72exports, 73in the standard library, 72table-based, 73use modules for, 73using interactively, 74parameterssequence of, 16within procedures, 357parse, 28, 189partition, 25partitioning, 6pipes, 162plot drivers, 226plotting, 216, 219animations, 271AXESSTYLE, 232COLOR, 228colors, 245CURVES, 226, 227, 232, 234data structures, 224–226, 229,232formulæ, 216, 222functions, 217, 222, 258GRID, 234MESH, 234non-numeric values, 227, 257,262, 267numerical approximations, 194options, 218, 219POINTS, 227, 234POLYGONS, 227, 232, 234, 238SCALING, 238
380 • IndexSTYLE, 233TEXT, 227, 234TEXT, 245undefined values, 257, 262,267with plottools, 243polygon meshes, 241, 251cutting faces out of, 251stellating, 253POLYGONSCOLOR, 279converting from grids or meshes,243convex, 238, 257portablility, 372positive integer, 352powers, 358, 360precision, 208floating-point numbers, 205print, 177, 202printf, 181printing, 177bytes, 181columns, 185formatted, 156, 157, 181strange expressions, 17strings, 180to files, 156priority queue, 106proc, 42proceduresas returned objects, 20call formats, 303defining, 358dispatching, 93execution details, 39nested, 3, 7, 15parameters within, 357passing information, 20passing input to, 25that return procedures, 12processing options, 222procname, 46products, 360programminggeneric, 42, 112, 118, 119,124numerical, 193with color, 278with graphics, 215with plot structures, 235Quaternions, 32, 33, 38associativity of, 38inverse of, 35quaternions, 71quick-sort algorithm, 6quit, 341, 364quotient field, 124quotients, 360rand, 9, 12random floating point numbers,9random distribution, 9random numbersgenerating, 9range, 360rational, 360read, 360readabilityof code, 4readbytes, 168readdata, 160, 175readingbytes from files, 168columns, 175data, 158expressions from terminal, 26from default, 168lines from files, 167remainder of file, 168
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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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to_maple_char( kv, c )to_maple_comp
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Page 340 and 341: 7.2 Using Compiled Code in Maple
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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 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 392 and 393: Index • 381statements, 174strings
Page 394: Waterloo Maple Inc.57 Erb Street We
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