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!AWDec94/Goodies/DrawBasic/!DrawBasic/Info/Commands/Calculus/Graphs

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

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Filename: !AWDec94/Goodies/DrawBasic/!DrawBasic/Info/Commands/Calculus/Graphs
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File contents
Calculus.Graphs :
=================

 Graphs are discussed in Chapter 9 of the DrawBasic book. 

 -----------------------------------------------------------------------------
  � MATHEMATICAL FUNCTIONS  (pages 86-89)
    ----------------------                      
 �Graph(f$,n%)            �@Graph(f$,a,b,n%)         �Graph(f$,a,b,n%)           �Function(f$,n%)         �@Function(f$,a,b,n%)      �Function(f$,a,b,n%)
 �Points(f$,n%)           �@Points(f$,a,b,n%)        �Points(f$,a,b,n%)   
 �Curve(x$,y$,A,B,n%)     �@Curve(x$,y$,a,b,n%)      �Curve(x$,y$,A,B,n%)
  
        �ClosePlot(data(),x%,y%)
 
        �DrawClip(RETURN X,RETURN Y,x,y) 
        �CubicClip(RETURN X,RETURN Y,x,y,_h)     
                    
        �Draw_ControlLinearStep                  
        �Draw_DoubleStep                         
        �Draw_HalveStep
                                
        �Slope(data(),x%,y%,i%,RETURN mx,RETURN  
         �Slope(f$,X,Y,h,a,b,type%)                      
 -----------------------------------------------------------------------------
  � PLOTTING DISCRETE DATA   (pages 83-85)
    ----------------------                      
 �GraphPlot(data(),x%,y%)  �@GraphPlot(data(),x%,y%)   �GraphPlot(data(),x%,y%)  �LinePlot(data(),x%,y%)   �@LinePlot(data(),x%,y%)    �LinePlot(data(),x%,y%)   �Plot(data(),x%,y%)       �@Plot(data(),x%,y%)        �Plot(data(),x%,y%)

 �MatRead(data())                         
 �MaxMin(data(),RETURN min, RETURN max)    
 -----------------------------------------------------------------------------   � CHARTS  (pages 79-83)
   ------                                                                    
 �Pie(data())                                                                79
 �Histogram(data(),gap)                                                      81
 �BarChart(data())                                                           81
 
    �BarScales(Div%,Sub%)
     �BarScalesLarge
     �BarScalesSmall                                                   -----------------------------------------------------------------------------   � MISC.
  ------                           
 �Resolution(max%,min%)                                                     88
  �MaxNoofPoints            
  �MinNoofPoints
   �DotsPerInch
                     
 �ScreenSize(factor)
  �ScreenSize
                          
 �Accuracy(dots%)      
00000000  43 61 6c 63 75 6c 75 73  2e 47 72 61 70 68 73 20  |Calculus.Graphs |
00000010  3a 0a 3d 3d 3d 3d 3d 3d  3d 3d 3d 3d 3d 3d 3d 3d  |:.==============|
00000020  3d 3d 3d 0a 0a 20 47 72  61 70 68 73 20 61 72 65  |===.. Graphs are|
00000030  20 64 69 73 63 75 73 73  65 64 20 69 6e 20 43 68  | discussed in Ch|
00000040  61 70 74 65 72 20 39 20  6f 66 20 74 68 65 20 44  |apter 9 of the D|
00000050  72 61 77 42 61 73 69 63  20 62 6f 6f 6b 2e 20 0a  |rawBasic book. .|
00000060  0a 20 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |. --------------|
00000070  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
000000a0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 0a  |---------------.|
000000b0  20 20 8f 20 4d 41 54 48  45 4d 41 54 49 43 41 4c  |  . MATHEMATICAL|
000000c0  20 46 55 4e 43 54 49 4f  4e 53 20 20 28 70 61 67  | FUNCTIONS  (pag|
000000d0  65 73 20 38 36 2d 38 39  29 0a 20 20 20 20 2d 2d  |es 86-89).    --|
000000e0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
000000f0  2d 2d 2d 2d 20 20 20 20  20 20 20 20 20 20 20 20  |----            |
00000100  20 20 20 20 20 20 20 20  20 20 0a 20 b7 47 72 61  |          . .Gra|
00000110  70 68 28 66 24 2c 6e 25  29 20 20 20 20 20 20 20  |ph(f$,n%)       |
00000120  20 20 20 20 20 b7 40 47  72 61 70 68 28 66 24 2c  |     .@Graph(f$,|
00000130  61 2c 62 2c 6e 25 29 20  20 20 20 20 20 20 20 20  |a,b,n%)         |
00000140  bb 47 72 61 70 68 28 66  24 2c 61 2c 62 2c 6e 25  |.Graph(f$,a,b,n%|
00000150  29 20 20 20 20 20 20 20  20 20 20 20 b7 46 75 6e  |)           .Fun|
00000160  63 74 69 6f 6e 28 66 24  2c 6e 25 29 20 20 20 20  |ction(f$,n%)    |
00000170  20 20 20 20 20 b7 40 46  75 6e 63 74 69 6f 6e 28  |     .@Function(|
00000180  66 24 2c 61 2c 62 2c 6e  25 29 20 20 20 20 20 20  |f$,a,b,n%)      |
00000190  bb 46 75 6e 63 74 69 6f  6e 28 66 24 2c 61 2c 62  |.Function(f$,a,b|
000001a0  2c 6e 25 29 0a 20 b7 50  6f 69 6e 74 73 28 66 24  |,n%). .Points(f$|
000001b0  2c 6e 25 29 20 20 20 20  20 20 20 20 20 20 20 b7  |,n%)           .|
000001c0  40 50 6f 69 6e 74 73 28  66 24 2c 61 2c 62 2c 6e  |@Points(f$,a,b,n|
000001d0  25 29 20 20 20 20 20 20  20 20 bb 50 6f 69 6e 74  |%)        .Point|
000001e0  73 28 66 24 2c 61 2c 62  2c 6e 25 29 20 20 20 0a  |s(f$,a,b,n%)   .|
000001f0  20 b7 43 75 72 76 65 28  78 24 2c 79 24 2c 41 2c  | .Curve(x$,y$,A,|
00000200  42 2c 6e 25 29 20 20 20  20 20 b7 40 43 75 72 76  |B,n%)     .@Curv|
00000210  65 28 78 24 2c 79 24 2c  61 2c 62 2c 6e 25 29 20  |e(x$,y$,a,b,n%) |
00000220  20 20 20 20 20 bb 43 75  72 76 65 28 78 24 2c 79  |     .Curve(x$,y|
00000230  24 2c 41 2c 42 2c 6e 25  29 0a 20 20 0a 20 20 20  |$,A,B,n%).  .   |
00000240  20 20 20 20 20 b7 43 6c  6f 73 65 50 6c 6f 74 28  |     .ClosePlot(|
00000250  64 61 74 61 28 29 2c 78  25 2c 79 25 29 0a 20 0a  |data(),x%,y%). .|
00000260  20 20 20 20 20 20 20 20  b7 44 72 61 77 43 6c 69  |        .DrawCli|
00000270  70 28 52 45 54 55 52 4e  20 58 2c 52 45 54 55 52  |p(RETURN X,RETUR|
00000280  4e 20 59 2c 78 2c 79 29  20 0a 20 20 20 20 20 20  |N Y,x,y) .      |
00000290  20 20 b7 43 75 62 69 63  43 6c 69 70 28 52 45 54  |  .CubicClip(RET|
000002a0  55 52 4e 20 58 2c 52 45  54 55 52 4e 20 59 2c 78  |URN X,RETURN Y,x|
000002b0  2c 79 2c 5f 68 29 20 20  20 20 20 0a 20 20 20 20  |,y,_h)     .    |
000002c0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
000002d0  0a 20 20 20 20 20 20 20  20 b7 44 72 61 77 5f 43  |.        .Draw_C|
000002e0  6f 6e 74 72 6f 6c 4c 69  6e 65 61 72 53 74 65 70  |ontrolLinearStep|
000002f0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000300  20 20 0a 20 20 20 20 20  20 20 20 b7 44 72 61 77  |  .        .Draw|
00000310  5f 44 6f 75 62 6c 65 53  74 65 70 20 20 20 20 20  |_DoubleStep     |
00000320  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000330  20 20 20 20 0a 20 20 20  20 20 20 20 20 b7 44 72  |    .        .Dr|
00000340  61 77 5f 48 61 6c 76 65  53 74 65 70 0a 20 20 20  |aw_HalveStep.   |
00000350  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000360  20 20 20 20 20 20 20 20  20 20 20 20 20 0a 20 20  |             .  |
00000370  20 20 20 20 20 20 b7 53  6c 6f 70 65 28 64 61 74  |      .Slope(dat|
00000380  61 28 29 2c 78 25 2c 79  25 2c 69 25 2c 52 45 54  |a(),x%,y%,i%,RET|
00000390  55 52 4e 20 6d 78 2c 52  45 54 55 52 4e 20 20 0a  |URN mx,RETURN  .|
000003a0  20 20 20 20 20 20 20 20  20 bb 53 6c 6f 70 65 28  |         .Slope(|
000003b0  66 24 2c 58 2c 59 2c 68  2c 61 2c 62 2c 74 79 70  |f$,X,Y,h,a,b,typ|
000003c0  65 25 29 20 20 20 20 20  20 20 20 20 20 20 20 20  |e%)             |
000003d0  20 20 20 20 20 20 20 20  20 0a 20 2d 2d 2d 2d 2d  |         . -----|
000003e0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
00000420  2d 2d 2d 2d 2d 2d 2d 2d  0a 20 20 8f 20 50 4c 4f  |--------.  . PLO|
00000430  54 54 49 4e 47 20 44 49  53 43 52 45 54 45 20 44  |TTING DISCRETE D|
00000440  41 54 41 20 20 20 28 70  61 67 65 73 20 38 33 2d  |ATA   (pages 83-|
00000450  38 35 29 0a 20 20 20 20  2d 2d 2d 2d 2d 2d 2d 2d  |85).    --------|
00000460  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 20 20  |--------------  |
00000470  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000480  20 20 20 20 0a 20 b7 47  72 61 70 68 50 6c 6f 74  |    . .GraphPlot|
00000490  28 64 61 74 61 28 29 2c  78 25 2c 79 25 29 20 20  |(data(),x%,y%)  |
000004a0  b7 40 47 72 61 70 68 50  6c 6f 74 28 64 61 74 61  |.@GraphPlot(data|
000004b0  28 29 2c 78 25 2c 79 25  29 20 20 20 bb 47 72 61  |(),x%,y%)   .Gra|
000004c0  70 68 50 6c 6f 74 28 64  61 74 61 28 29 2c 78 25  |phPlot(data(),x%|
000004d0  2c 79 25 29 20 20 b7 4c  69 6e 65 50 6c 6f 74 28  |,y%)  .LinePlot(|
000004e0  64 61 74 61 28 29 2c 78  25 2c 79 25 29 20 20 20  |data(),x%,y%)   |
000004f0  b7 40 4c 69 6e 65 50 6c  6f 74 28 64 61 74 61 28  |.@LinePlot(data(|
00000500  29 2c 78 25 2c 79 25 29  20 20 20 20 bb 4c 69 6e  |),x%,y%)    .Lin|
00000510  65 50 6c 6f 74 28 64 61  74 61 28 29 2c 78 25 2c  |ePlot(data(),x%,|
00000520  79 25 29 20 20 20 b7 50  6c 6f 74 28 64 61 74 61  |y%)   .Plot(data|
00000530  28 29 2c 78 25 2c 79 25  29 20 20 20 20 20 20 20  |(),x%,y%)       |
00000540  b7 40 50 6c 6f 74 28 64  61 74 61 28 29 2c 78 25  |.@Plot(data(),x%|
00000550  2c 79 25 29 20 20 20 20  20 20 20 20 bb 50 6c 6f  |,y%)        .Plo|
00000560  74 28 64 61 74 61 28 29  2c 78 25 2c 79 25 29 0a  |t(data(),x%,y%).|
00000570  0a 20 b7 4d 61 74 52 65  61 64 28 64 61 74 61 28  |. .MatRead(data(|
00000580  29 29 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |))              |
00000590  20 20 20 20 20 20 20 20  20 20 20 0a 20 b7 4d 61  |           . .Ma|
000005a0  78 4d 69 6e 28 64 61 74  61 28 29 2c 52 45 54 55  |xMin(data(),RETU|
000005b0  52 4e 20 6d 69 6e 2c 20  52 45 54 55 52 4e 20 6d  |RN min, RETURN m|
000005c0  61 78 29 20 20 20 20 0a  20 2d 2d 2d 2d 2d 2d 2d  |ax)    . -------|
000005d0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
00000610  2d 2d 2d 2d 2d 2d 20 20  20 8f 20 43 48 41 52 54  |------   . CHART|
00000620  53 20 20 28 70 61 67 65  73 20 37 39 2d 38 33 29  |S  (pages 79-83)|
00000630  0a 20 20 20 2d 2d 2d 2d  2d 2d 20 20 20 20 20 20  |.   ------      |
00000640  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
00000670  20 20 20 20 20 20 20 20  20 20 20 20 20 20 0a 20  |              . |
00000680  b7 50 69 65 28 64 61 74  61 28 29 29 20 20 20 20  |.Pie(data())    |
00000690  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
000006c0  20 20 20 20 20 20 20 20  20 20 20 20 37 39 0a 20  |            79. |
000006d0  b7 48 69 73 74 6f 67 72  61 6d 28 64 61 74 61 28  |.Histogram(data(|
000006e0  29 2c 67 61 70 29 20 20  20 20 20 20 20 20 20 20  |),gap)          |
000006f0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
00000710  20 20 20 20 20 20 20 20  20 20 20 20 38 31 0a 20  |            81. |
00000720  b7 42 61 72 43 68 61 72  74 28 64 61 74 61 28 29  |.BarChart(data()|
00000730  29 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |)               |
00000740  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
00000760  20 20 20 20 20 20 20 20  20 20 20 20 38 31 0a 20  |            81. |
00000770  0a 20 20 20 20 b7 42 61  72 53 63 61 6c 65 73 28  |.    .BarScales(|
00000780  44 69 76 25 2c 53 75 62  25 29 0a 20 20 20 20 20  |Div%,Sub%).     |
00000790  bb 42 61 72 53 63 61 6c  65 73 4c 61 72 67 65 0a  |.BarScalesLarge.|
000007a0  20 20 20 20 20 bb 42 61  72 53 63 61 6c 65 73 53  |     .BarScalesS|
000007b0  6d 61 6c 6c 20 20 20 20  20 20 20 20 20 20 20 20  |mall            |
000007c0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
000007e0  20 20 20 20 20 20 20 2d  2d 2d 2d 2d 2d 2d 2d 2d  |       ---------|
000007f0  2d 2d 2d 2d 2d 2d 2d 2d  2d 2d 2d 2d 2d 2d 2d 2d  |----------------|
*
00000830  2d 2d 2d 2d 20 20 20 8f  20 4d 49 53 43 2e 0a 20  |----   . MISC.. |
00000840  20 2d 2d 2d 2d 2d 2d 20  20 20 20 20 20 20 20 20  | ------         |
00000850  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000860  20 20 0a 20 b7 52 65 73  6f 6c 75 74 69 6f 6e 28  |  . .Resolution(|
00000870  6d 61 78 25 2c 6d 69 6e  25 29 20 20 20 20 20 20  |max%,min%)      |
00000880  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
*
000008a0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 38  |               8|
000008b0  38 0a 20 20 bb 4d 61 78  4e 6f 6f 66 50 6f 69 6e  |8.  .MaxNoofPoin|
000008c0  74 73 20 20 20 20 20 20  20 20 20 20 20 20 0a 20  |ts            . |
000008d0  20 bb 4d 69 6e 4e 6f 6f  66 50 6f 69 6e 74 73 0a  | .MinNoofPoints.|
000008e0  20 20 20 bb 44 6f 74 73  50 65 72 49 6e 63 68 0a  |   .DotsPerInch.|
000008f0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000900  20 20 20 20 20 0a 20 b7  53 63 72 65 65 6e 53 69  |     . .ScreenSi|
00000910  7a 65 28 66 61 63 74 6f  72 29 0a 20 20 bb 53 63  |ze(factor).  .Sc|
00000920  72 65 65 6e 53 69 7a 65  0a 20 20 20 20 20 20 20  |reenSize.       |
00000930  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000940  20 20 20 0a 20 b7 41 63  63 75 72 61 63 79 28 64  |   . .Accuracy(d|
00000950  6f 74 73 25 29 20 20 20  20 20 20                 |ots%)      |
0000095b

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