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|000030a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000030b0| 20 20 20 20 28 73 65 65 | 20 62 65 6c 6f 77 29 0a | (see| below).|
|000030c0| 20 20 20 5c 69 74 65 6d | 20 5c 76 65 72 62 2b 5c | \item| \verb+\|
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|00003120| 5c 76 65 72 62 2b 5c 5c | 66 69 2b 3a 20 73 77 69 |\verb+\\|fi+: swi|
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|00003350| 20 20 52 6f 6d 61 6e 26 | 41 26 42 26 47 26 44 26 | Roman&|A&B&G&D&|
|00003360| 45 26 5a 26 59 26 48 26 | 49 26 4b 26 4c 26 4d 5c |E&Z&Y&H&|I&K&L&M\|
|00003370| 5c 0a 20 20 20 5c 68 6c | 69 6e 65 0a 20 20 20 47 |\. \hl|ine. G|
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|000033a0| 20 26 20 45 20 26 20 5a | 20 26 20 48 20 26 20 24 | & E & Z| & H & $|
|000033b0| 5c 54 68 65 74 61 24 20 | 26 20 49 20 26 20 4b 20 |\Theta$ |& I & K |
|000033c0| 26 0a 20 20 20 24 5c 4c | 61 6d 62 64 61 24 20 26 |&. $\L|ambda$ &|
|000033d0| 20 4d 20 5c 5c 0a 20 20 | 20 5c 68 6c 69 6e 65 5c | M \\. | \hline\|
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|00003400| 26 58 26 51 26 57 5c 5c | 0a 20 20 20 5c 68 6c 69 |&X&Q&W\\|. \hli|
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|00003440| 20 26 0a 20 20 20 54 20 | 26 20 24 5c 55 70 73 69 | &. T |& $\Upsi|
|00003450| 6c 6f 6e 24 20 26 20 24 | 5c 50 68 69 24 20 26 20 |lon$ & $|\Phi$ & |
|00003460| 58 20 26 20 24 5c 50 73 | 69 24 20 26 20 24 5c 4f |X & $\Ps|i$ & $\O|
|00003470| 6d 65 67 61 24 20 5c 5c | 0a 20 20 20 5c 68 6c 69 |mega$ \\|. \hli|
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|000034c0| 20 20 24 5c 61 6c 70 68 | 61 24 20 26 20 24 5c 62 | $\alph|a$ & $\b|
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|000034f0| 70 73 69 6c 6f 6e 24 20 | 26 20 24 5c 7a 65 74 61 |psilon$ |& $\zeta|
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|00003510| 20 24 5c 74 68 65 74 61 | 24 20 26 20 24 5c 69 6f | $\theta|$ & $\io|
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|00003540| 24 5c 6d 75 24 20 5c 5c | 0a 20 20 20 5c 68 6c 69 |$\mu$ \\|. \hli|
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|00003560| 6e 26 6e 26 63 26 6f 26 | 70 26 72 26 73 26 74 26 |n&n&c&o&|p&r&s&t&|
|00003570| 75 26 66 26 78 26 71 26 | 77 5c 5c 0a 20 20 20 5c |u&f&x&q&|w\\. \|
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|00003590| 24 5c 6e 75 24 20 26 20 | 24 5c 78 69 24 20 26 20 |$\nu$ & |$\xi$ & |
|000035a0| 6f 20 26 20 24 5c 70 69 | 24 20 26 20 24 5c 72 68 |o & $\pi|$ & $\rh|
|000035b0| 6f 24 20 26 20 24 5c 73 | 69 67 6d 61 24 20 26 0a |o$ & $\s|igma$ &.|
|000035c0| 20 20 20 24 5c 74 61 75 | 24 20 26 20 24 5c 75 70 | $\tau|$ & $\up|
|000035d0| 73 69 6c 6f 6e 24 20 26 | 20 24 5c 70 68 69 24 20 |silon$ &| $\phi$ |
|000035e0| 26 20 24 5c 63 68 69 24 | 20 26 20 24 5c 70 73 69 |& $\chi$| & $\psi|
|000035f0| 24 20 26 20 24 5c 6f 6d | 65 67 61 24 20 5c 5c 0a |$ & $\om|ega$ \\.|
|00003600| 20 20 20 5c 68 6c 69 6e | 65 0a 20 20 20 5c 65 6e | \hlin|e. \en|
|00003610| 64 7b 74 61 62 75 6c 61 | 72 7d 0a 5c 63 61 70 74 |d{tabula|r}.\capt|
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|00004470| 6e 32 64 20 3d 20 2d 32 | 2e 35 3b 20 20 20 20 20 |n2d = -2|.5; |
|00004480| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004490| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000044a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 0a | | .|
|000044b0| 20 20 20 20 20 20 78 6d | 61 78 32 64 20 3d 20 20 | xm|ax2d = |
|000044c0| 32 2e 35 3b 20 20 20 20 | 20 20 20 20 20 20 20 20 |2.5; | |
|000044d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000044e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000044f0| 20 20 20 20 20 20 20 0a | 20 20 20 20 20 20 79 6d | .| ym|
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|00004510| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004520| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004530| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004540| 0a 20 20 20 20 20 20 79 | 6d 61 78 32 64 20 3d 20 |. y|max2d = |
|00004550| 20 34 2e 30 3b 20 20 20 | 20 20 20 20 20 20 20 20 | 4.0; | |
|00004560| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004570| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004580| 20 20 20 20 20 20 20 20 | 20 0a 20 20 20 20 20 20 | | . |
|00004590| 70 6c 65 6e 76 28 78 6d | 69 6e 32 64 2c 78 6d 61 |plenv(xm|in2d,xma|
|000045a0| 78 32 64 2c 79 6d 69 6e | 32 64 2c 79 6d 61 78 32 |x2d,ymin|2d,ymax2|
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|000045c0| 3d 20 32 2e 30 3b 20 20 | 20 20 20 20 20 20 20 20 |= 2.0; | |
|000045d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000045e0| 20 20 20 20 20 0a 20 20 | 20 20 20 20 62 61 73 65 | . | base|
|000045f0| 79 20 3d 20 34 2e 30 3b | 20 20 20 20 20 20 20 20 |y = 4.0;| |
|00004600| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004610| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004620| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 0a 20 | | . |
|00004630| 20 20 20 20 20 68 65 69 | 67 68 74 20 3d 20 33 2e | hei|ght = 3.|
|00004640| 30 3b 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |0; | |
|00004650| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004660| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004670| 20 20 20 20 20 20 20 0a | 20 20 20 20 20 20 78 6d | .| xm|
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|00004690| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000046a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000046b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000046c0| 0a 20 20 20 20 20 20 78 | 6d 61 78 20 3d 20 31 30 |. x|max = 10|
|000046d0| 2e 30 3b 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.0; | |
|000046e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000046f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004700| 20 20 20 20 20 20 20 20 | 0a 20 20 20 20 20 20 79 | |. y|
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|00004720| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004730| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004740| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004750| 20 0a 20 20 20 20 20 20 | 79 6d 61 78 20 3d 20 37 | . |ymax = 7|
|00004760| 2e 30 3b 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.0; | |
|00004770| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004780| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004790| 20 20 20 20 20 20 20 20 | 20 0a 20 20 20 20 20 20 | | . |
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|000047b0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000047c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000047d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000047e0| 20 20 0a 20 20 20 20 20 | 20 7a 6d 61 78 20 3d 20 | . | zmax = |
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|00004800| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004810| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|00004850| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00004860| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|00004890| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000048a0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|000051f0| 6b 78 7d 2c 20 7b 5c 74 | 74 20 6c 78 7d 2c 20 7b |kx}, {\t|t lx}, {|
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|00005220| 20 70 6f 72 74 69 6f 6e | 20 6f 66 20 7b 5c 74 74 | portion| of {\tt|
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|00005250| 65 20 61 72 72 61 79 20 | 7b 5c 74 74 20 63 6c 65 |e array |{\tt cle|
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|00005320| 20 69 6e 20 74 68 65 20 | 66 69 72 73 74 20 69 6e | in the |first in|
|00005330| 64 65 78 20 61 6e 64 20 | 66 72 6f 6d 0a 31 20 74 |dex and |from.1 t|
|00005340| 6f 20 7b 5c 74 74 20 6e | 79 7d 20 69 6e 20 74 68 |o {\tt n|y} in th|
|00005350| 65 20 73 65 63 6f 6e 64 | 20 69 6e 64 65 78 2e 20 |e second| index. |
|00005360| 42 65 66 6f 72 65 20 74 | 68 65 73 65 20 63 61 6e |Before t|hese can|
|00005370| 20 62 65 20 64 72 61 77 | 6e 20 69 6e 20 74 68 65 | be draw|n in the|
|00005380| 20 63 75 72 72 65 6e 74 | 0a 77 69 6e 64 6f 77 20 | current|.window |
|00005390| 28 73 65 65 20 70 61 67 | 65 20 5c 70 61 67 65 72 |(see pag|e \pager|
|000053a0| 65 66 7b 77 69 6e 64 6f | 77 7d 20 69 6e 20 53 65 |ef{windo|w} in Se|
|000053b0| 63 74 69 6f 6e 20 5c 72 | 65 66 7b 77 69 6e 64 6f |ction \r|ef{windo|
|000053c0| 77 7d 29 2c 20 69 74 20 | 69 73 20 6e 65 63 65 73 |w}), it |is neces|
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|000053e0| 66 72 6f 6d 20 74 68 65 | 73 65 20 61 72 72 61 79 |from the|se array|
|000053f0| 20 69 6e 64 69 63 69 65 | 73 20 69 6e 74 6f 20 77 | indicie|s into w|
|00005400| 6f 72 6c 64 20 63 6f 6f | 72 64 69 6e 61 74 65 73 |orld coo|rdinates|
|00005410| 2e 20 54 68 69 73 20 69 | 73 20 64 6f 6e 65 20 62 |. This i|s done b|
|00005420| 79 0a 70 61 73 73 69 6e | 67 20 61 20 70 6f 69 6e |y.passin|g a poin|
|00005430| 74 65 72 20 74 6f 20 61 | 20 75 73 65 72 2d 64 65 |ter to a| user-de|
|00005440| 66 69 6e 65 64 20 66 75 | 6e 63 74 69 6f 6e 20 74 |fined fu|nction t|
|00005450| 6f 20 7b 5c 74 74 20 70 | 6c 63 6f 6e 74 7d 2e 20 |o {\tt p|lcont}. |
|00005460| 20 54 68 69 73 0a 66 75 | 6e 63 74 69 6f 6e 20 70 | This.fu|nction p|
|00005470| 6f 69 6e 74 65 72 20 69 | 73 20 74 68 65 20 6c 61 |ointer i|s the la|
|00005480| 73 74 20 61 72 67 75 6d | 65 6e 74 20 7b 5c 74 74 |st argum|ent {\tt|
|00005490| 20 74 72 7d 2e 0a 54 68 | 69 73 20 66 75 6e 63 74 | tr}..Th|is funct|
|000054a0| 69 6f 6e 20 6d 75 73 74 | 20 62 65 20 64 65 63 6c |ion must| be decl|
|000054b0| 61 72 65 64 20 61 73 20 | 74 79 70 65 20 7b 5c 74 |ared as |type {\t|
|000054c0| 74 20 76 6f 69 64 7d 20 | 69 6e 20 74 68 65 0a 6d |t void} |in the.m|
|000054d0| 6f 64 75 6c 65 20 77 68 | 69 63 68 20 63 61 6c 6c |odule wh|ich call|
|000054e0| 73 20 7b 5c 74 74 20 70 | 6c 63 6f 6e 74 7d 2e 20 |s {\tt p|lcont}. |
|000054f0| 54 68 69 73 20 74 72 61 | 6e 73 66 6f 72 6d 61 74 |This tra|nsformat|
|00005500| 69 6f 6e 20 66 75 6e 63 | 74 69 6f 6e 0a 6d 75 73 |ion func|tion.mus|
|00005510| 74 20 68 61 76 65 20 74 | 68 65 20 70 61 72 61 6d |t have t|he param|
|00005520| 65 74 65 72 20 6c 69 73 | 74 0a 5c 6e 61 6d 65 7b |eter lis|t.\name{|
|00005530| 76 6f 69 64 20 74 72 28 | 78 2c 79 2c 74 78 2c 74 |void tr(|x,y,tx,t|
|00005540| 79 29 3b 7d 0a 77 68 65 | 72 65 20 7b 5c 74 74 20 |y);}.whe|re {\tt |
|00005550| 28 78 2c 79 29 7d 0a 69 | 73 20 74 68 65 20 70 6f |(x,y)}.i|s the po|
|00005560| 69 6e 74 20 74 68 72 6f | 75 67 68 20 77 68 69 63 |int thro|ugh whic|
|00005570| 68 20 74 68 65 20 63 6f | 6e 74 6f 75 72 20 72 75 |h the co|ntour ru|
|00005580| 6e 73 20 65 78 70 72 65 | 73 73 65 64 20 69 6e 0a |ns expre|ssed in.|
|00005590| 74 65 72 6d 73 20 6f 66 | 20 61 72 72 61 79 20 69 |terms of| array i|
|000055a0| 6e 64 69 63 69 65 73 2c | 20 61 6e 64 20 7b 5c 74 |ndicies,| and {\t|
|000055b0| 74 20 28 74 78 2c 74 79 | 29 7d 20 61 72 65 20 70 |t (tx,ty|)} are p|
|000055c0| 6f 69 6e 74 65 72 73 20 | 74 6f 20 66 6c 6f 61 74 |ointers |to float|
|000055d0| 20 76 61 72 69 61 62 6c | 65 73 0a 77 68 69 63 68 | variabl|es.which|
|000055e0| 20 61 72 65 20 74 68 65 | 20 77 6f 72 6c 64 20 63 | are the| world c|
|000055f0| 6f 6f 72 64 69 6e 61 74 | 65 73 20 6f 66 0a 74 68 |oordinat|es of.th|
|00005600| 65 20 70 6f 69 6e 74 20 | 77 68 69 63 68 20 63 6f |e point |which co|
|00005610| 72 72 65 73 70 6f 6e 64 | 73 20 74 6f 20 74 68 65 |rrespond|s to the|
|00005620| 73 65 20 69 6e 64 69 63 | 69 65 73 2e 0a 0a 4f 66 |se indic|ies...Of|
|00005630| 74 65 6e 2c 20 74 68 65 | 20 74 72 61 6e 73 66 6f |ten, the| transfo|
|00005640| 72 6d 61 74 69 6f 6e 20 | 62 65 74 77 65 65 6e 20 |rmation |between |
|00005650| 61 72 72 61 79 20 69 6e | 64 69 63 69 65 73 20 61 |array in|dicies a|
|00005660| 6e 64 20 77 6f 72 6c 64 | 20 63 6f 6f 72 64 69 6e |nd world| coordin|
|00005670| 61 74 65 73 20 63 61 6e | 0a 62 65 20 65 78 70 72 |ates can|.be expr|
|00005680| 65 73 73 65 64 20 61 73 | 20 61 20 6c 69 6e 65 61 |essed as| a linea|
|00005690| 72 20 74 72 61 6e 73 66 | 6f 72 6d 61 74 69 6f 6e |r transf|ormation|
|000056a0| 2e 20 41 20 72 6f 75 74 | 69 6e 65 20 69 73 20 70 |. A rout|ine is p|
|000056b0| 72 6f 76 69 64 65 64 20 | 77 69 74 68 69 6e 20 74 |rovided |within t|
|000056c0| 68 65 0a 6c 69 62 72 61 | 72 79 20 77 68 69 63 68 |he.libra|ry which|
|000056d0| 20 63 61 6e 20 62 65 20 | 70 61 73 73 65 64 20 74 | can be |passed t|
|000056e0| 6f 20 7b 5c 74 74 20 70 | 6c 63 6f 6e 74 7d 20 61 |o {\tt p|lcont} a|
|000056f0| 73 20 74 68 65 20 70 61 | 72 61 6d 65 74 65 72 20 |s the pa|rameter |
|00005700| 7b 5c 74 74 20 74 72 7d | 2e 20 54 68 69 73 0a 74 |{\tt tr}|. This.t|
|00005710| 72 61 6e 73 66 6f 72 6d | 61 74 69 6f 6e 20 72 6f |ransform|ation ro|
|00005720| 75 74 69 6e 65 20 69 73 | 20 61 73 20 66 6f 6c 6c |utine is| as foll|
|00005730| 6f 77 73 3a 0a 5c 62 65 | 67 69 6e 7b 76 65 72 62 |ows:.\be|gin{verb|
|00005740| 61 74 69 6d 7d 0a 0a 23 | 69 6e 63 6c 75 64 65 20 |atim}..#|include |
|00005750| 22 70 6c 70 6c 6f 74 2e | 68 22 0a 0a 76 6f 69 64 |"plplot.|h"..void|
|00005760| 20 78 66 6f 72 6d 28 78 | 2c 79 2c 74 78 2c 74 79 | xform(x|,y,tx,ty|
|00005770| 29 0a 66 6c 6f 61 74 20 | 78 2c 20 79 2c 20 2a 74 |).float |x, y, *t|
|00005780| 78 2c 20 2a 74 79 3b 0a | 7b 0a 20 20 20 20 20 20 |x, *ty;.|{. |
|00005790| 65 78 74 65 72 6e 20 66 | 6c 6f 61 74 20 74 72 5b |extern f|loat tr[|
|000057a0| 5d 3b 0a 0a 20 20 20 20 | 20 20 2a 74 78 20 3d 20 |];.. | *tx = |
|000057b0| 74 72 5b 30 5d 2a 78 20 | 2b 20 74 72 5b 31 5d 2a |tr[0]*x |+ tr[1]*|
|000057c0| 79 20 2b 20 74 72 5b 32 | 5d 3b 0a 20 20 20 20 20 |y + tr[2|];. |
|000057d0| 20 2a 74 79 20 3d 20 74 | 72 5b 33 5d 2a 78 20 2b | *ty = t|r[3]*x +|
|000057e0| 20 74 72 5b 34 5d 2a 79 | 20 2b 20 74 72 5b 35 5d | tr[4]*y| + tr[5]|
|000057f0| 3b 0a 7d 0a 5c 65 6e 64 | 7b 76 65 72 62 61 74 69 |;.}.\end|{verbati|
|00005800| 6d 7d 0a 54 68 75 73 20 | 62 79 20 73 65 74 74 69 |m}.Thus |by setti|
|00005810| 6e 67 20 75 70 20 74 68 | 65 20 76 61 6c 75 65 73 |ng up th|e values|
|00005820| 20 69 6e 20 74 68 65 20 | 61 72 72 61 79 20 7b 5c | in the |array {\|
|00005830| 74 74 20 74 72 5b 5d 7d | 2c 20 77 65 20 63 61 6e |tt tr[]}|, we can|
|00005840| 0a 61 70 70 6c 79 20 61 | 6e 20 61 72 62 69 74 72 |.apply a|n arbitr|
|00005850| 61 72 79 20 74 72 61 6e | 73 6c 61 74 69 6f 6e 2c |ary tran|slation,|
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|00005880| 72 61 79 20 62 65 66 6f | 72 65 0a 64 72 61 77 69 |ray befo|re.drawi|
|00005890| 6e 67 20 6f 75 74 20 74 | 68 65 20 63 6f 6e 74 6f |ng out t|he conto|
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|000058b0| 20 6f 74 68 65 72 20 74 | 72 61 6e 73 66 6f 72 6d | other t|ransform|
|000058c0| 61 74 69 6f 6e 20 73 75 | 62 72 6f 75 74 69 6e 65 |ation su|broutine|
|000058d0| 73 2c 0a 69 74 20 69 73 | 20 70 6f 73 73 69 62 6c |s,.it is| possibl|
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|000058f0| 72 73 20 77 72 61 70 70 | 65 64 20 61 72 6f 75 6e |rs wrapp|ed aroun|
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|00005910| 63 2e 0a 0a 41 73 20 61 | 6e 20 65 78 61 6d 70 6c |c...As a|n exampl|
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|00005930| 7b 5c 74 74 20 74 72 5b | 5d 7d 2c 20 73 75 70 70 |{\tt tr[|]}, supp|
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|00005950| 61 79 20 7b 5c 74 74 20 | 7a 7d 20 0a 69 73 20 6f |ay {\tt |z} .is o|
|00005960| 66 20 73 69 7a 65 20 24 | 32 31 20 5c 74 69 6d 65 |f size $|21 \time|
|00005970| 73 20 34 31 24 20 61 6e | 64 20 63 6f 6e 74 61 69 |s 41$ an|d contai|
|00005980| 6e 73 20 74 68 65 20 76 | 61 6c 75 65 73 20 6f 66 |ns the v|alues of|
|00005990| 20 74 68 65 20 66 75 6e | 63 74 69 6f 6e 20 0a 24 | the fun|ction .$|
|000059a0| 7a 5b 78 5d 5b 79 5d 24 | 2c 0a 77 68 65 72 65 20 |z[x][y]$|,.where |
|000059b0| 24 78 24 20 72 61 6e 67 | 65 73 20 66 72 6f 6d 20 |$x$ rang|es from |
|000059c0| 30 2e 30 20 74 6f 20 34 | 2e 30 20 61 6e 64 20 24 |0.0 to 4|.0 and $|
|000059d0| 79 24 20 72 61 6e 67 65 | 73 20 66 72 6f 6d 20 2d |y$ range|s from -|
|000059e0| 38 2e 30 20 74 6f 20 38 | 2e 30 2e 20 0a 46 75 72 |8.0 to 8|.0. .Fur|
|000059f0| 74 68 65 72 6d 6f 72 65 | 2c 0a 6c 65 74 20 75 73 |thermore|,.let us|
|00005a00| 20 61 6c 73 6f 20 73 75 | 70 70 6f 73 65 20 74 68 | also su|ppose th|
|00005a10| 61 74 20 74 68 65 20 77 | 69 6e 64 6f 77 20 28 61 |at the w|indow (a|
|00005a20| 73 20 64 65 66 69 6e 65 | 64 20 75 73 69 6e 67 20 |s define|d using |
|00005a30| 7b 5c 74 74 20 70 6c 65 | 6e 76 7d 20 6f 72 0a 7b |{\tt ple|nv} or.{|
|00005a40| 5c 74 74 20 70 6c 77 69 | 6e 64 7d 29 20 63 6f 76 |\tt plwi|nd}) cov|
|00005a50| 65 72 73 20 74 68 69 73 | 20 72 61 6e 67 65 20 6f |ers this| range o|
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|00005aa0| 74 20 7a 7d 20 74 6f 20 | 6d 61 70 20 74 6f 20 28 |t z} to |map to (|
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|00005ad0| 74 6f 20 6d 61 70 0a 74 | 6f 20 28 34 2e 30 2c 38 |to map.t|o (4.0,8|
|00005ae0| 2e 30 29 2c 20 61 6e 64 | 20 66 6f 72 20 74 68 65 |.0), and| for the|
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|00005b00| 20 69 6e 20 74 68 65 20 | 61 78 65 73 2c 20 77 65 | in the |axes, we|
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|00005b20| 6c 65 6d 65 6e 74 73 20 | 6f 66 20 7b 5c 74 74 20 |lements |of {\tt |
|00005b30| 74 72 5b 5d 7d 20 73 6f | 20 74 68 61 74 0a 5c 5b |tr[]} so| that.\[|
|00005b40| 0a 20 20 20 5c 62 65 67 | 69 6e 7b 61 72 72 61 79 |. \beg|in{array|
|00005b50| 7d 7b 6c 40 7b 5c 3b 3d | 5c 3b 7d 6c 7d 0a 20 20 |}{l@{\;=|\;}l}. |
|00005b60| 20 74 78 20 26 20 30 2e | 32 78 20 2d 20 30 2e 32 | tx & 0.|2x - 0.2|
|00005b70| 20 5c 5c 0a 20 20 20 74 | 79 20 26 20 30 2e 34 79 | \\. t|y & 0.4y|
|00005b80| 20 2d 20 38 2e 34 0a 20 | 20 20 5c 65 6e 64 7b 61 | - 8.4. | \end{a|
|00005b90| 72 72 61 79 7d 0a 5c 5d | 0a 61 6e 64 20 73 6f 20 |rray}.\]|.and so |
|00005ba0| 7b 5c 74 74 20 74 72 5b | 30 5d 3d 30 2e 32 7d 2c |{\tt tr[|0]=0.2},|
|00005bb0| 20 7b 5c 74 74 20 74 72 | 5b 31 5d 3d 30 2e 30 7d | {\tt tr|[1]=0.0}|
|00005bc0| 2c 20 7b 5c 74 74 20 74 | 72 5b 32 5d 3d 2d 30 2e |, {\tt t|r[2]=-0.|
|00005bd0| 32 7d 2c 0a 7b 5c 74 74 | 20 74 72 5b 33 5d 3d 30 |2},.{\tt| tr[3]=0|
|00005be0| 2e 30 7d 2c 20 7b 5c 74 | 74 20 74 72 5b 34 5d 3d |.0}, {\t|t tr[4]=|
|00005bf0| 30 2e 34 7d 2c 20 7b 5c | 74 74 20 74 72 5b 35 5d |0.4}, {\|tt tr[5]|
|00005c00| 3d 2d 38 2e 34 7d 2e 0a | 0a |=-8.4}..|. |
+--------+-------------------------+-------------------------+--------+--------+
