Advanced Programming Guide

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6.5 <strong>Programming</strong> with the plottools Package • 249Example 1 You can tile the plane with a and b type rectangles. Thefollowing procedure creates a m×n tiling using a function, g, to determinewhen to use an a-tile and when to use a b-tile. The function g returnseither 0, to use an a-tile, or 1, to use a b-tile.> tiling := proc(g, m, n)> local i, j, r, h, boundary, tiles;>> # define an a-tile> r[0] := plottools[arc]( [0,0], 0.5, 0..Pi/2 ),> plottools[arc]( [1,1], 0.5, Pi..3*Pi/2 );> # define a b-tile> r[1] := plottools[arc]( [0,1], 0.5, -Pi/2..0 ),> plottools[arc]( [1,0], 0.5, Pi/2..Pi );> boundary := plottools[curve]( [ [0,0], [0,n],> [m,n], [m,0], [0,0]] );> tiles := seq( seq( seq( plottools[translate](h, i, j),> h=r[g(i, j)] ), i=0..m-1 ), j=0..n-1 );> plots[display]( tiles, boundary, args[4..nargs] );> end proc:Define the following procedure, which randomly returns ei-Example 2ther 0 or 1.> oddeven := proc() rand() mod 2 end proc:Create a 20 × 10 tiling (called a Truchet tiling) with no axes andconstrained scaling.> tiling( oddeven, 20, 10, scaling=constrained, axes=none);When you use the same procedure again, the random tiling is different.> tiling( oddeven, 20, 10, scaling=constrained, axes=none);
250 • Chapter 6: <strong>Programming</strong> with Maple GraphicsA Smith ChartThe commands in the plottools package create graphs such as a SmithChart, used in microwave circuit analysis.> smithChart := proc(r)> local i, a, b, c ;> a := PLOT( seq( plottools[arc]( [-i*r/4,0],> i*r/4, 0..Pi ),> i = 1..4 ),> plottools[arc]( [0,r/2], r/2,> Pi-arcsin(3/5)..3*Pi/2 ),> plottools[arc]( [0,r], r, Pi..Pi+arcsin(15/17) ),> plottools[arc]( [0,2*r], 2*r,> Pi+arcsin(3/5)..Pi+arcsin(63/65) ),> plottools[arc]( [0,4*r], 4*r,> Pi+arcsin(15/17)..Pi+arcsin(63/65) )> );> b := plottools[transform]( (x, y) -> [x,-y] )(a);> c := plottools[line]( [ 0, 0], [ -2*r, 0] ):> plots[display]( a, b, c, axes = none,> scaling = constrained,> args[2..nargs] );> end proc:Here is a Smith Chart of radius 1.> smithChart( 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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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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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 268 and 269: 6.6 Vector Field Plots • 257Examp
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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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