Advanced Programming Guide

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Index • 375SAVE, 362SERIES, 363SET, 363STATSEQ, 363STOP, 364STRING, 364SUM, 364TABLE, 365, 371TABLEREF, 365TRY, 365UNEVAL, 366XOR, 366debugopts, 82define_external, 297description, 48diff, 68, 343extending, 37Digits, 10, 194, 205, 207evalhf, 198digits, number of, 194displayinsequence, 274divide, 343done, 364dsolve, 12efficiency, 20, 193, 199, 204, 209,267, 268embedding 2d graphics in 3d, 237,239, 247encapsulation, 41, 64end, 45end module, 45enumerated types, 302equality, 347error, 347errorscatastrophic cancellation, 208,211roundoff, 206eval, 14, 29evalb, 18, 343evalf, 10, 194, 197, 343, 370extending, 208new constants, 208new functions, 210evalhf, 197, 343arrays, 202–204Digits, 198structured objects, 202, 203var, 204evaln, 343evaluatingparsed strings, 189evaluationfull, 14numerical, 194using hardware floats, 197using software floats, 194evaluators, 342event, numeric, 206expand, 343, 344export, 42, 50exported local variables, 43, 50exported variablesvs. local variables, 112exports, 50expressionsconverting from strings, 28reading from terminal, 26extendingcommands, 37convert, 259diff, 37evalf, 208simplify, 38type, 29extensibility, 64extension mechanism, 68external callingargument passing conventions,301
376 • Indexarray data formats, 300custom wrapper, 294, 313direct calling, 294, 295Maple-generated wrapper, 294,301other data formats, 301scalar data formats, 298string data formats, 300structured data formats, 300types, 298fclose, 164feof, 166fflush, 187file descriptors, 163, 164filepos, 165files, 160appending to, 164binary, 161buffered, 160, 187closing, 157, 164creating, 157, 164current position in, 165default, 162, 168deleting, 167descriptors of, 163, 164detecting end of, 166flushing, 187length of, 165opening, 157, 163, 164printing bytes to, 181printing columns to, 157, 185printing formatted, 156, 181printing strings to, 180RAW, 160READ, 162reading bytes from, 168reading columns from, 160,175reading formatted, 159reading lines from, 167reading remainder of, 168redirecting default, 187removing, 167scanning, 159, 169status of, 166STREAM, 160terminal, 162text, 161truncating, 164unbuffered, 160WRITE, 162floating-point numbers, 193, 348n-digit machine, 194accuracy of, 195and new constants, 208and new functions, 210bases of, 195digits of, 194, 195hardware, 197, 206, 267hardware or software, 199limitations, 205models of, 205precision, 205representation of zero, 206roundoff errors, 206software, 194, 205, 267zero, 206flow of control, 343fopen, 164for loop, 349foreign data, 349format strings, 157, 159, 169, 181Fortran, 290generating, 290fprintf, 156, 181fremove, 167fscanf, 159, 169function call, 350function table, 63functionsalgebraic, 343
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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 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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