Advanced Programming Guide

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6.2 <strong>Programming</strong> with Plotting Library Functions • 223examples of ribbonplot. For this you can create an auxiliary procedure,extend, which uses of the unapply command.> extend := proc(f)> local x,y;> unapply(f(x), x, y);> end proc:For example, the extend procedure converts the R → R functionx ↦→ cos(2x) to a R 2 → R function.> p := x -> cos(2*x):> q := extend(p);q := (x, y) → cos(2 x)Example 2The following gives the new ribbonplot code.> ribbonplot := proc( Flist, r1::{range, name=range} )> local i, m, p, n, opts, newFlist;> opts := [ args[3..nargs] ];> if type(r1, range) then> # Functional input.> if not hasoption( opts, ’numpoints’, ’n’, ’opts’ )> then n := 25 # default numpoints> end if;> m := nops( Flist );> # change plot3d for functional input> p := seq( plot3d( extend( Flist[i] ), r1, (i-1)..i,> grid=[n,2], op(opts) ),> i=1..m );> plots[display]( p );> else> # Expressions. Convert each to a function of lhs(r1).> newFlist := map( unapply, Flist, lhs(r1) );> # Use lhs(r1) as the default x-axis label.> opts := [ ’labels’=[lhs(r1), "", "" ],> args[3..nargs] ];> ribbonplot( newFlist, rhs(r1), op(opts) )> end if> end proc:Here is a ribbon plot of three functions.> ribbonplot( [cos, sin, cos + sin], -Pi..Pi );
224 • Chapter 6: <strong>Programming</strong> with Maple Graphics6.3 Maple Plotting Data StructuresMaple generates plots by sending the user interface an unevaluated PLOTor PLOT3D function call. The information included inside these functionsdetermines the objects to graph. Every command in the plots packagecreates such a function.1. A Maple command produces a PLOT structure and passes it to theuser interface.2. In the user interface, Maple constructs primitive graphic objects basedon the PLOT structure.3. Maple then passes these objects to the chosen device driver for display.This process is shown schematically in figure 6.1.
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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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Page 198 and 199: 4.6 Output Commands • 187> writed
Page 200 and 201: 4.7 Conversion Commands • 189Conv
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Page 204 and 205: 5 Numerical Programmingin MapleFloa
Page 206 and 207: 5.1 The Basics of evalf • 1953.14
Page 208 and 209: 5.2 Hardware Floating-Point Numbers
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Page 220 and 221: 5.4 Extending the evalf Command •
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Page 224 and 225: 5.5 Using the Matlab Package • 21
Page 226 and 227: 6 Programming with MapleGraphicsMap
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Page 230 and 231: 6.2 Programming with Plotting Libra
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Page 236 and 237: 6.3 Maple Plotting Data Structures
Page 242 and 243: PLOT( CURVES( points ) );6.3 Maple
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Page 268 and 269: 6.6 Vector Field Plots • 257Examp
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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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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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