Advanced Programming Guide

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6.3 Maple Plotting Data Structures • 233> end proc:You can now put the sides and the top inside a PLOT3D structure todisplay them.> PLOT3D( yellowsides(1, 2, 3, 0.5),> redtop(1, 2, 3, 0.5),> STYLE(PATCH) );Using yellowsides and redtop you can create a three-dimensionalhistogram plot. Here is the histogram corresponding to z = 1/(x + y + 4),for 0 ≤ x ≤ 4 and 0 ≤ y ≤ 4.> sides := seq( seq( yellowsides(i, j, 1/(i+j+4), 0.75),> j=0..4), i=0..4):> tops := seq( seq( redtop( i, j, 1/(i+j+4), 0.75),> j=0..4 ), i=0..4 ):Histograms display well in a box axes. Axes are generated usingAXESSTYLE.> PLOT3D( sides, tops, STYLE(PATCH), AXESSTYLE(BOXED) );0.250.20.150.10.050123443210
234 • Chapter 6: <strong>Programming</strong> with Maple GraphicsYou can modify the previous construction to create a listbarchart3dprocedure which, for a given list of lists of heights, gives a threedimensionalbar chart for its output.Objects Inside a PLOT3D Data StructureThe names of the objects that can appear inside a PLOT3D data structureinclude POINTS, CURVES, POLYGONS, TEXT, GRID, and MESH.• When the object name is CURVES or POINTS, the point informationconsists of one or more lists of three-dimensional points, each listsupplying the set of points of a single curve in three-dimensional space.• When the object name is POLYGONS, the point information consists ofone or more lists of points. Each list describes the vertices of a singlepolygon in three-dimensional space.GRID and MESH Objects GRID is a structure that describes a functionalgrid. It consists of two ranges defining a grid in the x–y plane and a listof lists of z values over this grid. 1 In the following example LL contains 4lists each of length 3. Therefore the grid is 4 × 3, and x runs from 1 to 3in increments of 2/3, whereas y runs from 1 to 2 in increments of 1/2.> LL := [ [0,1,0], [1,1,1], [2,1,2], [3,0,1] ]:> PLOT3D( GRID( 1..3, 1..2, LL ), AXESLABELS(x,y,z),> ORIENTATION(135, 45), AXES(BOXED) );2.5 31.5 z20.5 1032.5x 21.51211.21.41.6 y1.8The MESH structure contains a list of lists of three-dimensional pointsdescribing a surface in three dimensions. 21 A two-dimensional Array is also allowed as the third argument. For more information,see the ?plot3d,structure help page.2 A three-dimensional Array is also allowed as the input to MESH. For more information,see the ?plot3d,structure help page.
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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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Page 198 and 199: 4.6 Output Commands • 187> writed
Page 200 and 201: 4.7 Conversion Commands • 189Conv
Page 202 and 203: 4.8 Notes to C Programmers • 191(
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
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
Page 242 and 243: PLOT( CURVES( points ) );6.3 Maple
Page 246 and 247: 6.4 Programming with Plot Data Stru
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Page 268 and 269: 6.6 Vector Field Plots • 257Examp
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Page 288 and 289: 6.8 Animation • 277Demonstrating
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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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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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