Advanced Programming Guide

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Index • 377defining numeric, 210numeric and symbolic, 212garbage collection, 345, 349, 350,369, 370generic programming, 112, 118,119, 124generic programs, 42global, 49global options, 228, 241global variables, 19interactive session, 18referencing, 49graphics, programming with, 215GRID, 225converting to polygons, 243gridpoints, 262, 266group, 73Hamiltonians, 32, 33, 38associativity of, 38inverse of, 35hardware float, 350hardware floating-point numbers,197, 205, 206, 267and arrays, 202and structured objects, 202base of, 198digits of, 198, 202has, 343hash tables, 367hashing, 369hfarray, 184structured objects, 202histograms, 228, 233I, 33IEEE standard, 194, 206if, 350imaginary partsign preservation, 206immediate integer, 352immutable state, 105implementationsvs. interfaces, 112implicit scoping rules, 56indets, 343inequality, 351infinite recursion, 33infinity, 206infix, 32infolevelall, 39simplify, 39inputformatted, 169from a file, 25from the terminal, 25, 26interactive, 25prompting for, 25Int, 197int, 197integers, 352immediate, 352negative, 351positive, 352integrationnumerical, 195, 197interactiveinput, 25session, 18interface, 33, 176indentamount, 178labelling, 178labelwidth, 178prettyprint, 178screenwidth, 177, 179verboseproc, 179interfaces, 113manipulation, 114vs. implementations, 112internal functions, 342internal organization, 341
378 • Indexinternal representations of datatypes, 344iostatus, 166Java, 290generating, 290kernel, 342supported platforms, 372Klein bottle, 255length, 343lexical scoping, 4rules, 5, 56lexically scoped variable, 353library, 342Limit, 197limit, 197limitsnumerical, 197LinearAlgebra, 73LinkedList, 75lists, 353appending elements to, 220load, 55local, 50local options, 227, 228, 241, 257local variables, 24, 354escaped, 17exported, 43, 50invoking procedures, 17outside their procedure, 17referencing, 50returning, 20vs. exported variables, 112logical AND, 345logical IMPLIES, 351logical XOR, 366lprint, 177MakeIteration, 13Mandelbrot set, 217map, 343in procedures, 4Maple_floats, 206math engine, 342MATLAB, 213Matrices, 184reading, 186writing, 186member, 54, 94MEMBER objects, 354MESH, 226converting to polygons, 243messages, 104microwave circuit analysis, 250modeling objects, 102module, 42, 45, 354modules, 41and types, 58declarations, 48definition, 42, 45, 49definition syntax, 45description, 48error reporting, 48exports, 104implicit scoping rules, 56lexical scoping rules, 56manipulation, 81members of, 50membership tests, 54named, 47nested, 56options, 55parameterized, 57referencing global variables,49referencing local variables, 50referring to, 46types of variables in, 112use for new packages, 73versus procedures, 42–44multiple assignments, 259
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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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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 384 and 385: Index%, 174&, 31accuracy, 193, 195,
Page 386 and 387: Index • 375SAVE, 362SERIES, 363SE
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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