{VERSION 4 0 "IBM INTEL NT" "4.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 2 0 1 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{CSTYLE "Help Head ing" -1 26 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Bullet Item" 0 15 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 -1 3 3 0 0 0 0 0 0 15 2 }} {SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "Function:" }{TEXT -1 66 " \+ quickplot - fast 2-d curve or point plotting of a list or hfarray" }} {PARA 0 "" 0 "" {TEXT 26 17 "Calling sequence:" }}{PARA 0 "" 0 "" {MPLTEXT 0 21 21 "quickplot(L,options);" }{TEXT -1 0 "" }{MPLTEXT 0 21 0 "" }}{PARA 0 "" 0 "" {TEXT 26 11 "Parameters:" }}{PARA 0 "" 0 "" {TEXT -1 2 " " }{MPLTEXT 0 21 2 "L " }{TEXT -1 231 "- a list, hfarray or Matrix of the points to be plotted. In the case of a list, each e lement is a point (represented as a list with two elements). An hfarr ay or Matrix should have two indices: the first goes from 1 to the num ber " }{XPPEDIT 18 0 "n" "6#%\"nG" }{TEXT -1 89 " of points, the secon d goes from 1 to 2. In the case of a Matrix the datatype should be " }{MPLTEXT 0 21 8 "float[8]" }{TEXT -1 25 " and the order should be " } {MPLTEXT 0 21 7 "C_order" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 0 21 7 "options" }{TEXT -1 50 " - most of the usual tw o-dimensional plot options." }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 26 12 "D escription:" }}{PARA 15 "" 0 "" {MPLTEXT 0 21 9 "quickplot" }{TEXT -1 120 " is a very simple procedure which produces a two-dimensional CURV ES plot structure. It is included here because unlike " }{MPLTEXT 0 21 9 "pointplot" }{TEXT -1 33 ", it allows the direct use of an " } {MPLTEXT 0 21 7 "hfarray" }{TEXT -1 27 ". This makes it very fast." } }{PARA 15 "" 0 "" {TEXT -1 34 "The plot options used may include " } {MPLTEXT 0 21 4 "axes" }{TEXT -1 2 ", " }{MPLTEXT 0 21 6 "colour" } {TEXT -1 2 ", " }{MPLTEXT 0 21 6 "coords" }{TEXT -1 2 ", " }{MPLTEXT 0 21 4 "font" }{TEXT -1 2 ", " }{MPLTEXT 0 21 6 "labels" }{TEXT -1 2 " , " }{MPLTEXT 0 21 6 "legend" }{TEXT -1 2 ", " }{MPLTEXT 0 21 9 "lines tyle" }{TEXT -1 2 ", " }{MPLTEXT 0 21 7 "scaling" }{TEXT -1 2 ", " } {MPLTEXT 0 21 5 "style" }{TEXT -1 2 ", " }{MPLTEXT 0 21 6 "symbol" } {TEXT -1 2 ", " }{MPLTEXT 0 21 9 "thickness" }{TEXT -1 2 ", " } {MPLTEXT 0 21 9 "tickmarks" }{TEXT -1 2 ", " }{MPLTEXT 0 21 5 "title" }{TEXT -1 6 ", and " }{MPLTEXT 0 21 4 "view" }{TEXT -1 55 ". For info rmation on these options, see the help page " }{HYPERLNK 17 "?plot,opt ions" 2 "plot,options" "" }{TEXT -1 1 "." }}{PARA 15 "" 0 "" {TEXT -1 29 "The default style setting is " }{MPLTEXT 0 21 10 "style=line" } {TEXT -1 62 ", which joins each point to the next with line segments. \+ Use " }{MPLTEXT 0 21 11 "style=point" }{TEXT -1 55 " to display each \+ point separately without joining them." }}{PARA 15 "" 0 "" {TEXT -1 7 "In the " }{MPLTEXT 0 21 6 "coords" }{TEXT -1 26 " option, the constru ction " }{MPLTEXT 0 21 19 "coords = reverse(c)" }{TEXT -1 24 " can be \+ used, as in the " }{MPLTEXT 0 21 14 "changecoords2d" }{TEXT -1 10 " fu nction." }}{PARA 15 "" 0 "" {TEXT -1 4 "See " }{MPLTEXT 0 21 11 "quick plot3d" }{TEXT -1 56 " for the three-dimensional equivalent to this pr ocedure." }}{PARA 15 "" 0 "" {TEXT -1 29 "This function is part of the " }{TEXT 256 22 "Maple Advisor Database" }{TEXT -1 9 " library." }}} {SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "H:= hfarray(1..3000,1..2,\n(i,j)->if j=1 then 0. 01*i else sin(.1*i) fi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG-%'R TABLEG6+\")[Z()>&%&floatG6#\"\")%&ArrayG%,rectangularG%(C_orderG7\"\" \"#;\"\"\"\"%+I;F3F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "qui ckplot(H,style=point,symbol=point,axes=box);" }{TEXT -1 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "quickplot(H,style=point, sym bol=point, axes=box, coords=reverse(polar));" }{TEXT -1 0 "" }}} {PARA 0 "" 0 "" {TEXT -1 64 "The next example is a bifurcation diagram for the quadratic map " }{XPPEDIT 18 0 "x -> r*x*(1-x)" "6#R6#%\"xG7 \"6$%)operatorG%&arrowG6\"*(%\"rG\"\"\"F%F-,&F-F-F%!\"\"F-F*F*F*" } {TEXT -1 47 ", involving plotting 60000 points. The use of " } {MPLTEXT 0 21 6 "evalhf" }{TEXT -1 5 " and " }{MPLTEXT 0 21 9 "quickpl ot" }{TEXT -1 56 " makes it possible to produce this in a reasonable t ime." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 301 "M:= hfarray(1..6000 0,1..2):\nbifdiag:= proc(a,b)\n local i,j,r,x;\n global M;\n for i \+ from 1 to 300 do\n r:=a+(b-a)*(i-1)/299;\n x:= 0.5;\n for j f rom 1 to 200 do x:= r*x*(1-x) od:\n for j from 0 to 199 do \n \+ M[i+300*j,1]:= r;\n M[i+300*j,2]:= x;\n x:= r*x*(1-x)\n o d;\n od;\n end:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "evalhf( bifdiag(2.5,4)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "quickpl ot(M,style=point,symbol=point);" }{TEXT -1 0 "" }}}}{SECT 0 {PARA 3 " " 0 "" {TEXT 26 9 "See also:" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {HYPERLNK 17 "changecoords2d" 2 "changecoords2d" "" }{TEXT -1 2 ", " } {HYPERLNK 17 "evalhf" 2 "evalhf" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "hf array" 2 "hfarray" "" }{TEXT -1 1 "," }{TEXT -1 1 " " }{HYPERLNK 17 "p lot[options]" 2 "plot,options" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "Plot ting a sequence of points" 2 "Plotting_a_sequence_of_points" "" } {TEXT -1 2 ", " }{HYPERLNK 17 "pointplot" 2 "pointplot" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "quickplot3d" 2 "quickplot3d" "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 26 23 "Maple Advisor Database " }{TEXT -1 15 "R. 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