Advanced Programming Guide

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6.9 <strong>Programming</strong> with Color • 28510.50–0.51 2 3 4 5 6x–1If you add color to two curves simultaneously, the two colorings areindependent.> q := plot( cos(2*x) + sin(x), x=0..2*Pi ):> addcolor( plots[display](p, q) );10.50–0.51 2 3x4 5 6–1–1.5–2The addcolor procedure also works on three-dimensional spacecurves.> spc := plots[spacecurve]( [ cos(t), sin(t), t ], t=0..8*Pi,> numpoints=100, thickness=2, color=black ):> addcolor( spc );
286 • Chapter 6: <strong>Programming</strong> with Maple GraphicsYou can alter the coloring of an existing plot by using coloring functions.Such coloring functions should be of the form C Hue : R 2 → [0, 1] (forHue coloring) or of the form C RGB : R 2 → [0, 1] × [0, 1] × [0, 1].The previous example uses the color function C Hue (x, y) = y/ max(y i ).Creating A Chess Board PlotThe final example of programming with color shows how to make a chessboard type grid with red and white squares in a three-dimensional plot.Note: You do not simply assign a coloring function as an argument toplot3d. A coloring function, in such a case, provides colors for vertices ofa grid, which does not yield color patches.Example You must first convert the grid or mesh into polygonal form.The rest of the procedure assigns either a red or white color to a polygon,depending on which grid area it represents.> chessplot3d := proc(f, r1, r2)> local m, n, i, j, plotgrid, p, opts, coloring, size;>> # obtain grid size> # and generate the plotting data structure> if hasoption( [ args[4..nargs] ], grid, size) then> m := size[1];> n := size[2];> else # defaults> m := 25;> n := 25;> end if;>> p := plot3d( f, r1, r2, args[4..nargs] );>> # convert grid data (first operand of p)> # into polygon data> plotgrid := op( convert( op(1, p), POLYGONS ) );> # make coloring function - alternating red and white> coloring := (i, j) -> if modp(i-j, 2)=0 then> convert(red, colorRGB)> else> convert(white, colorRGB)> end if;> # op(2..-1, p) is all the operands of p but the first> PLOT3D( seq( seq( POLYGONS( plotgrid[j + (i-1)*(n-1)],> coloring(i, j) ),> i=1..m-1 ), j=1..n-1 ),> op(2..-1, p) );> end proc:Here is a chess board plot of sin(x) sin(y).
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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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Page 300 and 301: 7 Advanced ConnectivityIn This Chap
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Page 304 and 305: 7.2 Using Compiled Code in Maple
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7.2 Using Compiled Code in Maple
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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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