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|00000000| 5c 63 68 61 70 74 65 72 | 7b 50 6c 6f 74 74 69 6e |\chapter|{Plottin|
|00000010| 67 7d 0d 5c 69 6e 64 65 | 78 7b 70 6c 6f 74 74 69 |g}.\inde|x{plotti|
|00000020| 6e 67 7c 28 7d 0d 0d 5c | 52 4c 61 42 5c 20 63 61 |ng|(}..\|RLaB\ ca|
|00000030| 6e 20 70 6c 6f 74 20 75 | 73 69 6e 67 20 74 77 6f |n plot u|sing two|
|00000040| 20 6d 65 74 68 6f 64 73 | 2e 20 20 54 68 65 20 66 | methods|.  The f|
|00000050| 69 72 73 74 20 69 73 20 | 74 6f 20 75 73 65 20 74 |irst is |to use t|
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|00000070| 79 2e 20 54 68 65 20 6f | 74 68 65 72 20 69 73 20 |y. The o|ther is |
|00000080| 74 6f 20 75 73 65 20 74 | 68 65 20 66 72 65 65 6c |to use t|he freel|
|00000090| 79 20 61 76 61 69 6c 61 | 62 6c 65 20 67 6e 75 70 |y availa|ble gnup|
|000000a0| 6c 6f 74 0d 70 6c 6f 74 | 74 69 6e 67 20 70 72 6f |lot.plot|ting pro|
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|000000c0| 6f 75 72 20 5c 52 4c 61 | 42 5c 20 77 61 73 20 62 |our \RLa|B\ was b|
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|00000100| 74 20 6f 6e 65 2c 20 6f | 72 20 62 6f 74 68 20 6d |t one, o|r both m|
|00000110| 65 74 68 6f 64 73 2e 20 | 0d 67 6e 75 70 6c 6f 74 |ethods. |.gnuplot|
|00000120| 20 63 61 6e 20 70 72 6f | 64 75 63 65 20 6f 75 74 | can pro|duce out|
|00000130| 70 75 74 20 6f 6e 20 6d | 61 6e 79 20 64 69 66 66 |put on m|any diff|
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|000001d0| 6e 6f 74 20 68 61 76 65 | 20 74 68 65 20 73 61 6d |not have| the sam|
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|00000220| 73 6f 6d 65 77 68 61 74 | 20 62 65 74 74 65 72 2e |somewhat| better.|
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|00000260| 66 20 74 68 65 20 6d 6f | 72 65 20 63 6f 6d 6d 6f |f the mo|re commo|
|00000270| 6e 6c 79 20 75 73 65 64 | 0d 67 6e 75 70 6c 6f 74 |nly used|.gnuplot|
|00000280| 20 63 6f 6d 6d 61 6e 64 | 73 2c 20 74 68 6f 75 67 | command|s, thoug|
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|000002b0| 74 20 61 72 65 20 73 74 | 69 6c 6c 0d 61 76 61 69 |t are st|ill.avai|
|000002c0| 6c 61 62 6c 65 2e 20 20 | 67 6e 75 70 6c 6f 74 20 |lable.  |gnuplot |
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|00000860| 20 66 69 6c 65 20 66 6f | 72 20 6c 61 74 65 72 20 | file fo|r later |
|00000870| 75 73 65 2c 0d 79 6f 75 | 20 6e 65 65 64 20 74 6f |use,.you| need to|
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|00000c30| 0d 3e 20 73 65 74 74 65 | 72 6d 28 22 6c 61 74 65 |.> sette|rm("late|
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|00000d50| 68 61 76 65 20 71 75 6f | 74 65 73 20 69 6d 62 65 |have quo|tes imbe|
|00000d60| 64 64 65 64 20 69 6e 20 | 69 74 2e 0d 0d 53 65 74 |dded in |it...Set|
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|00002950| 62 2b 72 65 70 6c 6f 74 | 2b 20 63 6f 6d 6d 61 6e |b+replot|+ comman|
|00002960| 64 20 6d 61 79 20 62 65 | 20 6f 66 0d 75 73 65 2e |d may be| of.use.|
|00002970| 20 49 74 20 73 69 6d 70 | 6c 79 20 63 61 75 73 65 | It simp|ly cause|
|00002980| 73 20 74 68 65 20 6c 61 | 73 74 20 70 6c 6f 74 20 |s the la|st plot |
|00002990| 74 6f 20 62 65 20 72 65 | 64 6f 6e 65 2e 20 59 6f |to be re|done. Yo|
|000029a0| 75 20 77 6f 75 6c 64 20 | 75 73 65 20 69 74 20 61 |u would |use it a|
|000029b0| 73 0d 5c 76 65 72 62 2b | 70 6c 6f 74 28 22 72 65 |s.\verb+|plot("re|
|000029c0| 70 6c 6f 74 22 29 2b 2e | 20 20 54 68 69 73 20 63 |plot")+.|  This c|
|000029d0| 61 6e 20 73 61 76 65 20 | 74 69 6d 65 20 69 66 20 |an save |time if |
|000029e0| 79 6f 75 20 61 72 65 20 | 74 72 61 6e 73 66 65 72 |you are |transfer|
|000029f0| 72 69 6e 67 20 61 0d 6c | 6f 74 20 6f 66 20 64 61 |ring a.l|ot of da|
|00002a00| 74 61 20 70 6f 69 6e 74 | 73 2e 0d 0d 5c 70 61 72 |ta point|s...\par|
|00002a10| 61 67 72 61 70 68 7b 70 | 6f 6c 61 72 7d 0d 0d 54 |agraph{p|olar}..T|
|00002a20| 68 65 20 5c 76 65 72 62 | 2b 73 65 74 20 70 6f 6c |he \verb|+set pol|
|00002a30| 61 72 2b 20 63 6f 6d 6d | 61 6e 64 20 73 77 69 74 |ar+ comm|and swit|
|00002a40| 63 68 65 73 20 67 6e 75 | 70 6c 6f 74 20 66 72 6f |ches gnu|plot fro|
|00002a50| 6d 20 69 74 73 20 64 65 | 66 61 75 6c 74 0d 72 65 |m its de|fault.re|
|00002a60| 63 74 61 6e 67 75 6c 61 | 72 20 63 6f 6f 72 64 69 |ctangula|r coordi|
|00002a70| 6e 61 74 65 20 73 65 74 | 20 74 6f 20 61 20 70 6f |nate set| to a po|
|00002a80| 6c 61 72 20 63 6f 6f 72 | 64 69 6e 61 74 65 20 73 |lar coor|dinate s|
|00002a90| 65 74 2e 20 20 49 6e 20 | 74 68 69 73 20 6d 6f 64 |et.  In |this mod|
|00002aa0| 65 2c 0d 74 68 65 20 69 | 6e 64 65 70 65 6e 64 61 |e,.the i|ndependa|
|00002ab0| 6e 74 20 76 61 72 69 61 | 62 6c 65 20 69 73 20 74 |nt varia|ble is t|
|00002ac0| 68 65 20 61 6e 67 6c 65 | 2c 20 61 6e 64 20 74 68 |he angle|, and th|
|00002ad0| 65 20 64 65 70 65 6e 64 | 65 6e 74 20 76 61 72 69 |e depend|ent vari|
|00002ae0| 61 62 6c 65 20 69 73 0d | 74 68 65 20 72 61 64 69 |able is.|the radi|
|00002af0| 75 73 2e 20 20 48 65 72 | 65 20 69 73 20 61 6e 20 |us.  Her|e is an |
|00002b00| 65 78 61 6d 70 6c 65 20 | 6f 66 20 68 6f 77 20 74 |example |of how t|
|00002b10| 6f 20 70 72 6f 64 75 63 | 65 20 61 20 63 69 72 63 |o produc|e a circ|
|00002b20| 6c 65 20 28 63 6f 6e 73 | 74 61 6e 74 0d 72 61 64 |le (cons|tant.rad|
|00002b30| 69 75 73 20 6f 66 20 24 | 31 2e 35 38 24 29 2e 0d |ius of $|1.58$)..|
|00002b40| 5c 62 65 67 69 6e 7b 76 | 65 72 62 61 74 69 6d 7d |\begin{v|erbatim}|
|00002b50| 0d 3e 20 70 6c 6f 74 28 | 22 73 65 74 20 70 6f 6c |.> plot(|"set pol|
|00002b60| 61 72 22 29 3b 0d 3e 20 | 61 20 3d 20 6c 69 6e 73 |ar");.> |a = lins|
|00002b70| 70 61 63 65 28 30 2c 32 | 2a 70 69 2c 31 30 30 29 |pace(0,2|*pi,100)|
|00002b80| 3b 0d 3e 20 62 20 20 3d | 20 7a 65 72 6f 73 28 31 |;.> b  =| zeros(1|
|00002b90| 30 30 2c 31 29 2b 31 2e | 35 38 3b 0d 3e 20 70 6c |00,1)+1.|58;.> pl|
|00002ba0| 6f 74 28 5b 61 27 2c 62 | 5d 29 3b 0d 3e 20 57 61 |ot([a',b|]);.> Wa|
|00002bb0| 72 6e 69 6e 67 3a 20 65 | 6d 70 74 79 20 79 20 72 |rning: e|mpty y r|
|00002bc0| 61 6e 67 65 20 5b 31 2e | 35 38 3a 31 2e 35 38 5d |ange [1.|58:1.58]|
|00002bd0| 2c 20 61 64 6a 75 73 74 | 69 6e 67 20 74 6f 20 5b |, adjust|ing to [|
|00002be0| 31 2e 34 32 32 3a 31 2e | 37 33 38 5d 0d 5c 65 6e |1.422:1.|738].\en|
|00002bf0| 64 7b 76 65 72 62 61 74 | 69 6d 7d 0d 0d 54 68 65 |d{verbat|im}..The|
|00002c00| 20 77 61 72 6e 69 6e 67 | 20 6d 65 73 73 61 67 65 | warning| message|
|00002c10| 20 69 73 20 66 72 6f 6d | 20 67 6e 75 70 6c 6f 74 | is from| gnuplot|
|00002c20| 2c 20 77 68 69 63 68 20 | 77 61 73 6e 27 74 20 65 |, which |wasn't e|
|00002c30| 78 70 65 63 74 69 6e 67 | 20 74 68 65 20 72 61 6e |xpecting| the ran|
|00002c40| 67 65 20 74 6f 0d 62 65 | 20 63 6f 6e 73 74 61 6e |ge to.be| constan|
|00002c50| 74 2c 20 61 73 20 74 68 | 61 74 20 63 6f 6e 66 75 |t, as th|at confu|
|00002c60| 73 65 73 20 74 68 65 20 | 61 75 74 6f 2d 73 63 61 |ses the |auto-sca|
|00002c70| 6c 69 6e 67 20 61 6c 67 | 6f 72 69 74 68 6d 2e 20 |ling alg|orithm. |
|00002c80| 54 68 65 20 67 72 61 70 | 68 20 69 73 0d 70 6c 6f |The grap|h is.plo|
|00002c90| 74 74 65 64 20 61 73 20 | 65 78 70 65 63 74 65 64 |tted as |expected|
|00002ca0| 2c 20 67 6e 75 70 6c 6f | 74 20 6a 75 73 74 20 70 |, gnuplo|t just p|
|00002cb0| 72 65 74 65 6e 64 73 20 | 74 68 65 20 72 61 6e 67 |retends |the rang|
|00002cc0| 65 20 77 61 73 20 6c 61 | 72 67 65 72 2e 0d 0d 41 |e was la|rger...A|
|00002cd0| 20 73 6c 69 67 68 74 6c | 79 20 6d 6f 72 65 20 63 | slightl|y more c|
|00002ce0| 6f 6d 70 6c 65 78 20 65 | 78 61 6d 70 6c 65 20 69 |omplex e|xample i|
|00002cf0| 73 20 73 68 6f 77 6e 20 | 68 65 72 65 3a 0d 5c 62 |s shown |here:.\b|
|00002d00| 65 67 69 6e 7b 76 65 72 | 62 61 74 69 6d 7d 0d 3e |egin{ver|batim}.>|
|00002d10| 20 70 6c 6f 74 28 22 73 | 65 74 20 70 6f 6c 61 72 | plot("s|et polar|
|00002d20| 22 29 3b 0d 3e 20 61 20 | 3d 20 6c 69 6e 73 70 61 |");.> a |= linspa|
|00002d30| 63 65 28 30 2c 32 2a 70 | 69 2c 31 30 30 29 3b 0d |ce(0,2*p|i,100);.|
|00002d40| 3e 20 62 20 20 3d 20 63 | 6f 73 28 32 2a 61 29 3b |> b  = c|os(2*a);|
|00002d50| 0d 3e 20 70 6c 6f 74 28 | 5b 61 27 2c 62 27 5d 29 |.> plot(|[a',b'])|
|00002d60| 3b 0d 5c 65 6e 64 7b 76 | 65 72 62 61 74 69 6d 7d |;.\end{v|erbatim}|
|00002d70| 0d 0d 5c 6e 6f 69 6e 64 | 65 6e 74 20 77 68 69 63 |..\noind|ent whic|
|00002d80| 68 20 70 72 6f 64 75 63 | 65 73 20 61 20 72 65 73 |h produc|es a res|
|00002d90| 75 6c 74 20 6f 66 3a 0d | 0d 25 20 74 68 69 73 20 |ult of:.|.% this |
|00002da0| 6f 6e 65 20 69 73 20 74 | 6f 6f 20 62 69 67 20 0d |one is t|oo big .|
|00002db0| 25 20 5c 69 6e 70 75 74 | 7b 70 6f 6c 61 72 2e 70 |% \input|{polar.p|
|00002dc0| 6c 6f 74 7d 0d 25 20 4d | 61 79 62 65 20 77 65 20 |lot}.% M|aybe we |
|00002dd0| 63 61 6e 20 75 73 65 20 | 54 65 58 20 3f 0d 0d 57 |can use |TeX ?..W|
|00002de0| 68 65 6e 20 75 73 69 6e | 67 20 74 68 69 73 20 6d |hen usin|g this m|
|00002df0| 6f 64 65 2c 20 79 6f 75 | 20 6d 61 79 20 77 69 73 |ode, you| may wis|
|00002e00| 68 20 74 6f 20 73 77 69 | 74 63 68 20 74 6f 20 64 |h to swi|tch to d|
|00002e10| 65 67 72 65 65 20 6d 6f | 64 65 2c 20 75 73 69 6e |egree mo|de, usin|
|00002e20| 67 20 0d 5c 76 65 72 62 | 2b 70 6c 6f 74 28 22 73 |g .\verb|+plot("s|
|00002e30| 65 74 20 61 6e 67 6c 65 | 73 20 64 65 67 72 65 65 |et angle|s degree|
|00002e40| 73 22 29 2b 2e 20 20 59 | 6f 75 20 63 61 6e 20 72 |s")+.  Y|ou can r|
|00002e50| 65 76 65 72 74 20 74 6f | 20 72 61 64 69 61 6e 73 |evert to| radians|
|00002e60| 2c 0d 77 68 69 63 68 20 | 69 73 20 74 68 65 20 64 |,.which |is the d|
|00002e70| 65 66 61 75 6c 74 2c 20 | 75 73 69 6e 67 20 74 68 |efault, |using th|
|00002e80| 65 20 63 6f 6d 6d 61 6e | 64 20 5c 76 65 72 62 2b |e comman|d \verb+|
|00002e90| 70 6c 6f 74 28 22 73 65 | 74 20 61 6e 67 6c 65 73 |plot("se|t angles|
|00002ea0| 0d 72 61 64 69 61 6e 73 | 22 29 2b 2e 0d 0d 0d 5c |.radians|")+....\|
|00002eb0| 69 6e 64 65 78 7b 70 6c | 6f 74 74 69 6e 67 7c 29 |index{pl|otting|)|
|00002ec0| 7d 0d 0d 0d 0d 0d       |                         |}.....  |        |
+--------+-------------------------+-------------------------+--------+--------+