Advanced Programming Guide

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6.4 <strong>Programming</strong> with Plot Data Structures • 241To display the gear, display these in a single PLOT3D structure. UseSTYLE(PATCHNOGRID) as a local option to the top and bottom of the gearso that they do not appear as several triangles.> PLOT3D( POLYGONS(faces, STYLE(PATCHNOGRID) ),> seq( POLYGONS(b), b=bord ),> STYLE(PATCH), SCALING(CONSTRAINED) );Note: The global STYLE(PATCH) and SCALING(CONSTRAINED) optionsapply to the whole PLOT3D structure, except where the localSTYLE(PATCHNOGRID) option to the top and bottom of the gear overridesthe global STYLE(PATCH) option.Polygon MeshesSection 6.3 describes the MESH data structure which you generate whenusing plot3d to draw a parametrized surface. This simple matter involvesconverting a mesh of points to a set of vertices for corresponding polygons.Using polygons rather than a MESH structure allows you to modify theindividual polygons.Example 1 The procedure polygongrid creates the vertices of a quadrangleat the (i, j)th grid value.
242 • Chapter 6: <strong>Programming</strong> with Maple Graphics> polygongrid := proc(gridlist, i, j)> gridlist[j][i], gridlist[j][i+1],> gridlist[j+1][i+1], gridlist[j+1][i];> end proc:Example 2 Use the makePolygongrid procedure to construct the appropriatepolygons.> makePolygongrid := proc(gridlist)> local m,n,i,j;> n := nops(gridlist);> m := nops(gridlist[1]);> POLYGONS( seq( seq( [ polygongrid(gridlist, i, j) ],> i=1..m-1), j=1..n-1) );> end proc:The following is a mesh of points in two-dimensional space.> L := [ seq( [ seq( [i-1, j-1], i=1..3 ) ], j=1..4 ) ];L := [[[0, 0], [1, 0], [2, 0]], [[0, 1], [1, 1], [2, 1]],[[0, 2], [1, 2], [2, 2]], [[0, 3], [1, 3], [2, 3]]]The makePolygongrid procedure creates the POLYGONS structure correspondingto L.> grid1 := makePolygongrid( L );grid1 := POLYGONS([[0, 0], [1, 0], [1, 1], [0, 1]],[[1, 0], [2, 0], [2, 1], [1, 1]], [[0, 1], [1, 1], [1, 2], [0, 2]],[[1, 1], [2, 1], [2, 2], [1, 2]], [[0, 2], [1, 2], [1, 3], [0, 3]],[[1, 2], [2, 2], [2, 3], [1, 3]])Put the polygons inside a PLOT structure to display them.> PLOT( grid1 );
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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 • 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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Page 228 and 229: 6.1 Basic Plot Functions • 217If
Page 230 and 231: 6.2 Programming with Plotting Libra
Page 236 and 237: 6.3 Maple Plotting Data Structures
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Page 268 and 269: 6.6 Vector Field Plots • 257Examp
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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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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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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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