[ae4196] | 1 | /////////////////////////////////////////////////////////////////////////////// |
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[8942a5] | 2 | version="$Id: latex.lib,v 1.13 2000-12-22 14:11:33 greuel Exp $"; |
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[fd3fb7] | 3 | category="Visualization"; |
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[651b46] | 4 | info=" |
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[8942a5] | 5 | LIBRARY: latex.lib Typesetting of Singular-Objects in LaTex2e |
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[f34c37c] | 6 | AUTHOR: Christian Gorzel, gorzelc@math.uni-muenster.de |
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| 7 | |
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| 8 | PROCEDURES: |
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[ae4196] | 9 | closetex(fnm); writes closing line for TeX-document |
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| 10 | opentex(fnm); writes header for TeX-file fnm |
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| 11 | tex(fnm); calls LaTeX2e for TeX-file fnm |
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| 12 | texdemo([n]); produces a file explaining the features of this lib |
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| 13 | texfactorize(fnm,f); creates string in TeX-Symbolformat for factors of poly f |
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| 14 | texmap(fnm,m,r1,r2); creates string in TeX-Symbolformat for map m:r1->r2 |
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| 15 | texname(fnm,s); creates string in TeX-Symbolformat for identifier |
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| 16 | texobj(l); creates string in TeX-Symbolformat for any (basic) type |
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| 17 | texpoly(f,n[,l]); creates string in TeX-Symbolformat for poly |
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| 18 | texproc(fnm,p); creates string in TeX-Symbolformat of text from proc p |
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| 19 | texring(fnm,r[,l]); creates string in TeX-Symbolformat for ring/qring |
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| 20 | rmx(s); removes .aux and .log files of TeXfile s |
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| 21 | xdvi(s); calls xdvi for dvi-file s |
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| 22 | (parameters in square brackets [] are optional) |
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[917fb5] | 23 | |
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| 24 | GLOBAL VARIABLES: |
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[ae4196] | 25 | TeXwidth, TeXnofrac, TeXbrack, TeXproj, TeXaligned, TeXreplace, NoDollars |
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[8942a5] | 26 | are used to control the typesetting |
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| 27 | Call example texdemo; to become familiar with the features of latex.lib |
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[ae4196] | 28 | |
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| 29 | TeXwidth : int: -1,0,1..9, >9 controls the breaking of long polynomials |
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[651b46] | 30 | TeXnofrac : (int) flag, write 1/2 instead of \frac{1}{2} |
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| 31 | TeXbrack : string: possible values {,(,<,|, the empty string |
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[ae4196] | 32 | controls brackets around ideals and matrices |
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| 33 | TeXproj : (int) flag, write : instead of , in intvecs and vectors |
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| 34 | TeXaligned : (int) flag, write maps (and ideals) aligned |
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| 35 | TeXreplace : list, entries twoelemented list for replacing symbols |
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[651b46] | 36 | NoDollars : (int) flag, suppresses surrounding $ signs |
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| 37 | "; |
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[ae4196] | 38 | |
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| 39 | /////////////////////////////////////////////////////////////////////////////// |
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| 40 | |
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[917fb5] | 41 | proc closetex(string fname, list #) |
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[651b46] | 42 | "USAGE: closetex(fname[,style]); fname,style = string |
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[ae4196] | 43 | RETURN: nothing; writes a LaTeX2e closing line into file fname |
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[917fb5] | 44 | NOTE: style overwrites the default setting latex2e; maybe latex,amstex,tex |
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| 45 | preceeding >> end ending \".tex\" may miss in fname; |
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[ae4196] | 46 | overwriting an existing file is not possible |
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| 47 | EXAMPLE: example closetex; shows an example |
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[651b46] | 48 | " |
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[ae4196] | 49 | { |
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[917fb5] | 50 | string default = "latex2e"; |
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[ae4196] | 51 | string s; |
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| 52 | int i = 1; |
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| 53 | int flag; |
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| 54 | |
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| 55 | if (size(#)) { default = #[1];} |
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| 56 | |
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[917fb5] | 57 | if (default=="latex2e" or default == "latex") |
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[ae4196] | 58 | { s = "\\end{document}"; flag = 1;} |
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| 59 | if (default=="amstex") {s = "\\enddocument"; flag = 1;} |
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| 60 | if (default=="tex") {s = "\\bye"; flag = 1;} |
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[917fb5] | 61 | if (not(flag)) { s = "";} |
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[ae4196] | 62 | |
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[917fb5] | 63 | if (size(fname)) |
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[ae4196] | 64 | { |
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| 65 | while (fname[i]==">"){i++;} |
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| 66 | fname = fname[i,size(fname)-i+1]; |
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[917fb5] | 67 | |
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[ae4196] | 68 | if (size(fname)>=4) // check if filename is ending with ".tex" |
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| 69 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
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| 70 | } |
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| 71 | else {fname = fname + ".tex";} |
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| 72 | write(fname, s); |
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[917fb5] | 73 | write(fname," - Thanks latex.lib and Singular - "); |
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[ae4196] | 74 | } |
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[917fb5] | 75 | else {return(s);} |
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[ae4196] | 76 | } |
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| 77 | example |
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| 78 | { "EXAMPLE:"; echo=2; |
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| 79 | opentex("exmpl"); |
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| 80 | texobj("exmpl","{\\large \\bf hello}"); |
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| 81 | closetex("exmpl"); |
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| 82 | } |
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| 83 | /////////////////////////////////////////////////////////////////////////////// |
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| 84 | |
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| 85 | proc tex(string fname, list #) |
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[651b46] | 86 | "USAGE: tex(fname[,style]); fname,style = string |
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[ae4196] | 87 | RETURN: nothing; calls latex2e for compiling the file fname |
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[917fb5] | 88 | NOTE: style overwrites the default setting latex2e; maybe latex,amstex,tex |
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| 89 | ending ".tex" may miss in fname |
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[ae4196] | 90 | EXAMPLE: example tex; shows an example |
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[651b46] | 91 | " |
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[917fb5] | 92 | { |
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[ae4196] | 93 | string default = "latex2e"; |
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[917fb5] | 94 | int retval; |
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[ae4196] | 95 | int i=1; |
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| 96 | |
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| 97 | if (size(#)) {default = string(#[1]);} |
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| 98 | |
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| 99 | if (size(fname)) |
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| 100 | { |
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| 101 | while (fname[i]==">"){i++;} |
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| 102 | fname = fname[i,size(fname)-i+1]; |
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[917fb5] | 103 | |
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[ae4196] | 104 | if (size(fname)>=4) // check if filename is ending with ".tex" |
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| 105 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
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| 106 | } |
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| 107 | else {fname = fname + ".tex";} |
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| 108 | "calling ",default, " for :",fname,newline; |
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[917fb5] | 109 | |
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[ae4196] | 110 | retval = system("sh",default + " " + fname); |
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| 111 | } |
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| 112 | else |
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| 113 | { " -- Need a filename "; |
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| 114 | return(); |
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| 115 | } |
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| 116 | } |
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| 117 | example |
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| 118 | { "EXAMPLE:"; echo =2; |
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| 119 | ring r; |
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[8afd58] | 120 | LIB "inout.lib"; |
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[ae4196] | 121 | ideal I = maxideal(7); |
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| 122 | opentex("exp001"); // defaulted latex2e document |
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| 123 | texobj("exp001","An ideal ",I); |
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| 124 | closetex("exp001"); |
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| 125 | tex("exp001"); |
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| 126 | |
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| 127 | opentex("exp002","tex"); // create a texdocument |
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| 128 | texobj("exp002","An ideal",I); |
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| 129 | closetex("exp002"); |
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| 130 | tex("exp002","tex"); |
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| 131 | echo = 0; |
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[917fb5] | 132 | pause("the created files will be deleted after pressing <RETURN>"); |
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[ae4196] | 133 | echo = 2; |
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[b2c82d] | 134 | system("sh","rm exp00?.*"); |
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[ae4196] | 135 | } |
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| 136 | /////////////////////////////////////////////////////////////////////////////// |
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| 137 | |
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[917fb5] | 138 | proc opentex(string fname, list #) |
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[651b46] | 139 | "USAGE: opentex(fname[,style]); fname,style = string |
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[ae4196] | 140 | RETURN: nothing; writes as LaTeX2e header into a new file fname |
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| 141 | NOTE: suffix .tex may miss in fname |
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[917fb5] | 142 | style overwrites the default setting latex2e; may be latex,amstex,tex |
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[ae4196] | 143 | EXAMPLE: example opentex; shows an example |
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[651b46] | 144 | " |
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[917fb5] | 145 | { |
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[ae4196] | 146 | string default = "latex2e"; |
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| 147 | string s; |
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| 148 | int i =1; |
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| 149 | int flag; |
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| 150 | |
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| 151 | if (size(#)) { default = #[1];} |
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| 152 | |
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[917fb5] | 153 | if (default == "latex2e") // the default latex2e header |
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| 154 | { s = |
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[ae4196] | 155 | "\\documentclass[12pt]{article}" + newline + |
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| 156 | // "\\usepackage{fullpage,amsmath,amscd,amsthm,amssymb,amsxtra,latexsym,epsfig}" + newline + |
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| 157 | "\\usepackage{amsmath,amssymb}" + newline + |
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[917fb5] | 158 | "\\parindent=0pt" + newline + |
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| 159 | "\\newcommand{\\C}{{\\Bbb C}}" + newline + |
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| 160 | "\\newcommand{\\F}{{\\Bbb F}}" + newline + |
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[ae4196] | 161 | "\\newcommand{\\N}{{\\Bbb N}}" + newline + |
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| 162 | // "\\newcommand{\\P}{{\\Bbb P}}" + newline + |
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[917fb5] | 163 | "\\newcommand{\\Q}{{\\Bbb Q}}" + newline + |
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[ae4196] | 164 | "\\newcommand{\\R}{{\\Bbb R}}" + newline + |
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| 165 | "\\newcommand{\\T}{{\\Bbb T}}" + newline + |
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| 166 | "\\newcommand{\\Z}{{\\Bbb Z}}" + newline + newline + |
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| 167 | "\\begin{document}"; |
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| 168 | flag = 1; |
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| 169 | } |
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| 170 | if (default == "latex") |
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[917fb5] | 171 | { s = |
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[ae4196] | 172 | "\\documentstyle[12pt,amstex]{article}" + newline + |
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| 173 | "\\parindent=0pt" + newline + |
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[917fb5] | 174 | "\\newcommand{\\C}{{\\Bbb C}}" + newline + |
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| 175 | "\\newcommand{\\F}{{\\Bbb F}}" + newline + |
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[ae4196] | 176 | "\\newcommand{\\N}{{\\Bbb N}}" + newline + |
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| 177 | // "\\newcommand{\\P}{{\\Bbb P}}" + newline + |
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[917fb5] | 178 | "\\newcommand{\\Q}{{\\Bbb Q}}" + newline + |
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[ae4196] | 179 | "\\newcommand{\\R}{{\\Bbb R}}" + newline + |
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| 180 | "\\newcommand{\\T}{{\\Bbb T}}" + newline + |
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| 181 | "\\newcommand{\\Z}{{\\Bbb Z}}" + newline + newline + |
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| 182 | "\\begin{document}"; |
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| 183 | flag = 1; |
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[917fb5] | 184 | } |
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| 185 | if (default == "amstex") |
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| 186 | { s = |
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[ae4196] | 187 | "\\documentstyle{amsppt} " + newline + newline + |
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| 188 | "\\document"; |
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[917fb5] | 189 | flag = 1; |
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[ae4196] | 190 | } |
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| 191 | |
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[917fb5] | 192 | if (default == "tex") |
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| 193 | { s = |
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| 194 | ""; |
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[ae4196] | 195 | flag = 1; |
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| 196 | } |
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| 197 | if (default == "own") // the proper own header |
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| 198 | { s = ""; |
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| 199 | flag = 1; |
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| 200 | } |
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| 201 | if (not(flag)) { s = "";} |
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| 202 | |
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[917fb5] | 203 | if (size(fname)) |
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[ae4196] | 204 | { |
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| 205 | while (fname[i]==">"){i++;} |
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| 206 | fname = fname[i,size(fname)-i+1]; |
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| 207 | |
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| 208 | if (size(fname)>=4) // check if filename is ending with ".tex" |
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| 209 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
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| 210 | } |
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| 211 | else {fname = fname + ".tex";} |
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| 212 | fname = ">" + fname; |
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| 213 | write(fname,s); |
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| 214 | } |
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[917fb5] | 215 | else {return(s);} |
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[ae4196] | 216 | } |
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| 217 | example |
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| 218 | { "EXAMPLE:"; echo=2; |
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| 219 | opentex("exmpl"); |
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| 220 | texobj("exmpl","hello"); |
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| 221 | closetex("exmpl"); |
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| 222 | } |
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| 223 | /////////////////////////////////////////////////////////////////////////////// |
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| 224 | |
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[917fb5] | 225 | proc texdemo(list #) |
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[651b46] | 226 | "USAGE: texdemo(); |
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[ae4196] | 227 | RETURN: nothing; generates automatically a LaTeX2e file called: texlibdemo.tex |
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[651b46] | 228 | explaining the features of latex.lib and its gloabl variables |
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[917fb5] | 229 | NOTE: this proc takes a minutes |
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[ae4196] | 230 | EXAMPLE: example texdemo; executes the generation |
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[651b46] | 231 | " |
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[ae4196] | 232 | { int TeXdemostart = system("pid"); |
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| 233 | string fname = "texlibdemo"; |
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| 234 | |
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[917fb5] | 235 | if (size(#)) |
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| 236 | { if (typeof(#[1])=="int") {TeXdemostart = #[1];} |
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[ae4196] | 237 | } |
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[212d09] | 238 | system("--random",TeXdemostart); |
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[917fb5] | 239 | |
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[ae4196] | 240 | if (size(#) ==2) |
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| 241 | { if (typeof(#[2]) == "string") { fname = #[2];} |
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| 242 | } |
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| 243 | |
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| 244 | if (size(fname)) |
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| 245 | { |
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| 246 | if (size(fname)>=4) // check if filename is ending with ".tex" |
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| 247 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
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| 248 | } else {fname = fname + ".tex";} |
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| 249 | } |
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| 250 | |
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| 251 | |
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| 252 | part0(fname); |
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| 253 | part1(fname); |
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| 254 | part2(fname); |
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| 255 | part3(fname); |
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| 256 | print(" Demofile generated ..."); |
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| 257 | if (size(fname)) |
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| 258 | { |
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| 259 | print(" call latex now by tex(\"" + fname + "\");" ); |
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| 260 | print(" .log and .aux files may be deleted with rmx(\"texlibdemo\");"); |
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| 261 | } |
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| 262 | return(); |
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| 263 | } |
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| 264 | example |
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| 265 | { "EXAMPLE:"; |
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| 266 | texdemo(); |
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| 267 | } |
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| 268 | /////////////////////////////////////////////////////////////////////////////// |
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| 269 | |
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[917fb5] | 270 | proc texfactorize(string fname, poly f, list #) |
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[651b46] | 271 | "USAGE: opentex(fname,f); fname = string; f = poly |
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[ae4196] | 272 | RETURN: string, the poly as as product of its irreducible factors |
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| 273 | in TeX-typesetting if fname == empty string; |
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[917fb5] | 274 | otherwise append this to file fname.tex; return nothing |
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| 275 | NOTE: preceeding >> end ending \".tex\" may miss in fname |
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[ae4196] | 276 | EXAMPLE: example texfactorize; shows an example |
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[651b46] | 277 | " |
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[ae4196] | 278 | { |
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| 279 | def @r = basering; |
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| 280 | list l; |
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| 281 | int i,j,k,Tw,TW,ND;; |
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| 282 | intvec v; |
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| 283 | string s,t; |
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| 284 | string D = "$"; |
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| 285 | poly g; |
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| 286 | |
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| 287 | ND = defined(NoDollars); |
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| 288 | if (!(ND)) {int NoDollars; export NoDollars;} |
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| 289 | else { D = ""; } |
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| 290 | TW = defined(TeXwidth); |
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[917fb5] | 291 | if (TW) {Tw = TeXwidth; TeXwidth = -1;} |
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[ae4196] | 292 | else {int TeXwidth = -1; export TeXwidth;} |
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| 293 | |
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| 294 | if (f==0) {s= D + "0" + D;} |
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| 295 | else |
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| 296 | { |
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| 297 | l = factorize(f); // sollte auch fuer f== 0 direkt funktionieren |
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| 298 | if (l[1][1]<>1){s = texpoly("",l[1][1]);} |
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| 299 | for(i=2;i<=size(l[1]);i++) |
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| 300 | { |
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| 301 | if(size(s)){s = s+"\\cdot ";} |
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| 302 | g = l[1][i]; |
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| 303 | v = leadexp(g); |
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| 304 | k=0; |
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| 305 | for(j=1;j<=size(v);j++){k = k + v[j];} |
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| 306 | if(size(g)>1 or (size(g)==1 and k>1)) |
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| 307 | { t = "(" + texpoly("",l[1][i]) + ")";} |
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[917fb5] | 308 | else { t = texpoly("",l[1][i]);} |
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[ae4196] | 309 | if (l[2][i]>1) |
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| 310 | { t = t+"^{" +string(l[2][i]) + "}";} |
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| 311 | s = s + t; |
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| 312 | } |
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| 313 | if (!(ND)) { kill NoDollars;} |
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| 314 | s = D + s + D; |
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| 315 | if (TW) {TeXwidth = Tw;} |
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| 316 | } |
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[917fb5] | 317 | if(size(fname)) |
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[ae4196] | 318 | { i=1; |
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| 319 | while (fname[i]==">"){i++;} |
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| 320 | fname = fname[i,size(fname)-i+1]; |
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| 321 | |
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| 322 | if (size(fname)>=4) // check if filename is ending with ".tex" |
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| 323 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
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| 324 | } |
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| 325 | else {fname = fname + ".tex";} |
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| 326 | write(fname,s); |
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| 327 | } |
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| 328 | else{return(s);} |
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| 329 | } |
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| 330 | example |
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| 331 | { "EXAMPLE:"; echo=2; |
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| 332 | ring r2=13,(x,y),dp; |
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| 333 | poly f = (x+1+y)^2*x3y*(2x -2y)*y12; |
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| 334 | texfactorize("",f); |
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| 335 | ring R49 = (7,a),x,dp; |
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| 336 | minpoly = a2 +a +3; |
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| 337 | poly f = (a24x5 + x3)*a2x6*(x+1)^2; |
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[917fb5] | 338 | f; |
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[ae4196] | 339 | texfactorize("",f); |
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| 340 | } |
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| 341 | /////////////////////////////////////////////////////////////////////////////// |
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| 342 | |
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| 343 | proc texmap(string fname, def m, def @r1, def @r2, list #) |
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[651b46] | 344 | "USAGE: texmap(fname,f); fname = string; m = string/map, @r1,@r2 = ring |
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[ae4196] | 345 | RETURN: string, the map m from @r1 to @r2 preeceded by its name if m = string |
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| 346 | in TeX-typesetting if fname == empty string; |
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[917fb5] | 347 | otherwise append this to file fname.tex; return nothing |
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| 348 | NOTE: preceeding >> end ending \".tex\" may miss in fname |
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[ae4196] | 349 | EXAMPLE: example texmap; shows an example |
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[651b46] | 350 | " |
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[917fb5] | 351 | { |
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[ae4196] | 352 | int saveDollars= defined(NoDollars); |
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| 353 | int TX = defined(TeXwidth); |
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| 354 | int Tw; |
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| 355 | int i,n; |
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| 356 | string r1str,r2str, varr1str, varr2str; |
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| 357 | string mapname,t,s; |
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| 358 | string D,DD,vrg = "$","$$",","; |
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| 359 | def @r = basering; |
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| 360 | def themap; |
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| 361 | list l1,l2; |
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| 362 | string rr1,rr2 = "@r1","@r2"; |
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| 363 | |
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| 364 | proc rp(string s) |
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| 365 | { int i; |
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| 366 | |
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[917fb5] | 367 | for(i=1;i<=size(TeXreplace);i++) |
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[ae4196] | 368 | { if (TeXreplace[i][1]==s) {s= TeXreplace[i][2]; break;}} |
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| 369 | return(s); |
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| 370 | } |
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[917fb5] | 371 | |
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[ae4196] | 372 | // --- store all actual informations |
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| 373 | if(TX) { Tw = TeXwidth; TeXwidth = -1;} |
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| 374 | else { int TeXwidth = -1; export TeXwidth;} |
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| 375 | if (!(saveDollars)) { int NoDollars; export NoDollars;} |
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| 376 | if (defined(TeXproj)) {vrg = ":";} |
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| 377 | |
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| 378 | if (size(#)) |
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| 379 | { if (typeof(#[1])=="list") |
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| 380 | { l1 = #[1]; |
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| 381 | if(size(#)==2) { l2 = #[2];} |
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| 382 | } |
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| 383 | else {l1=#; l2 =#;} |
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| 384 | } |
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| 385 | // --- tex the information in preimring r1 |
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| 386 | |
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| 387 | setring(@r1); |
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| 388 | r1str = texring("",@r1,l1); |
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| 389 | // --- avoid an execute; hence construct an ideal |
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| 390 | |
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| 391 | n = nvars(@r1); |
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| 392 | if (n>1) { t = "\\left(";} |
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| 393 | ideal @I = var(1); |
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| 394 | t = t + texpoly("",var(1)); |
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| 395 | for(i=2;i<=n;i++) |
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| 396 | { @I = @I + var(i); |
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| 397 | t = t + vrg + texpoly("",var(i)); |
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| 398 | } |
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| 399 | if (n>1) { t = t + "\\right)";} |
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| 400 | varr1str = t; |
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| 401 | |
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| 402 | // --- now the things in ring ring r2 |
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| 403 | |
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| 404 | setring(@r2); |
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| 405 | // listvar(); |
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| 406 | |
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| 407 | if (typeof(m)=="string") |
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| 408 | { themap = `m`; |
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| 409 | mapname = m; |
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| 410 | if (defined(TeXreplace)) |
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| 411 | { mapname = rp(mapname); // rp ausschreiben ! |
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| 412 | } |
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| 413 | mapname = mapname + ":"; |
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| 414 | } |
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| 415 | if (typeof(m)=="map") { themap = m;} |
---|
| 416 | |
---|
| 417 | r2str = texring("",@r2,l2); |
---|
| 418 | ideal @J = themap(@I); |
---|
| 419 | n = size(matrix(@J)); |
---|
| 420 | if (n>1) { t = " \\left(";} |
---|
| 421 | if (!(defined(TeXaligned)) and (n>1)) |
---|
| 422 | { t = t + newline + "\\begin{array}{c}" + newline;} |
---|
| 423 | t = t + texpoly("",@J[1]); |
---|
| 424 | for (i=2;i<=n; i++) |
---|
[917fb5] | 425 | {if(defined(TeXaligned)) |
---|
[ae4196] | 426 | { t = t + vrg + texpoly("",@J[i]); } |
---|
| 427 | else { t = t + "\\\\" + newline + texpoly("",@J[i]);} |
---|
| 428 | } |
---|
| 429 | if (!(defined(TeXaligned)) and (n>1)) |
---|
| 430 | { t = t + newline + "\\end{array}" + newline;} |
---|
| 431 | if (n>1) {t = t + "\\right)";} |
---|
| 432 | varr2str = t; |
---|
| 433 | |
---|
| 434 | // --- go back to ring r1 to kill @I |
---|
| 435 | |
---|
| 436 | setring(@r1); |
---|
| 437 | kill @I; |
---|
| 438 | |
---|
| 439 | // --- now reset the old settings and stick all the information together |
---|
| 440 | |
---|
| 441 | setring(@r); |
---|
| 442 | if (!(saveDollars)) { kill NoDollars;} |
---|
| 443 | if (TX) {TeXwidth = Tw;} |
---|
| 444 | else { kill TeXwidth;} |
---|
| 445 | if (defined(NoDollars)) |
---|
| 446 | { D,DD = "",""; } |
---|
| 447 | |
---|
| 448 | if (defined(TeXaligned)) |
---|
| 449 | { s = D + mapname; |
---|
| 450 | s = s + r1str + "\\longrightarrow" + r2str + ", \\ " + |
---|
| 451 | varr1str + "\\longmapsto" + varr2str + D; } |
---|
| 452 | else |
---|
| 453 | { s = DD; |
---|
| 454 | s = s + newline + "\\begin{array}{rcc}" + newline; |
---|
| 455 | s = s + mapname + r1str + " & \\longrightarrow & " + r2str + "\\\\[2mm]" |
---|
| 456 | + newline; |
---|
| 457 | s = s + varr1str + " & \\longmapsto & " + newline + varr2str + newline; |
---|
| 458 | s = s + "\\end{array}" + newline; |
---|
| 459 | s = s + DD; |
---|
| 460 | } |
---|
| 461 | |
---|
| 462 | if (size(fname)) |
---|
| 463 | { i=1; |
---|
| 464 | while (fname[i]==">"){i++;} |
---|
| 465 | fname = fname[i,size(fname)-i+1]; |
---|
| 466 | |
---|
| 467 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 468 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 469 | } |
---|
| 470 | else {fname = fname + ".tex";} |
---|
| 471 | write(fname,s); |
---|
| 472 | } |
---|
| 473 | else {return(s);} |
---|
| 474 | } |
---|
[917fb5] | 475 | example |
---|
[ae4196] | 476 | { "EXAMPLE:"; echo = 2; |
---|
| 477 | string fname = "tldemo"; |
---|
[d6cc54] | 478 | ring r1=0,(x,y,z),dp; |
---|
| 479 | if(system("with","Namespaces")) { exportto(Current, r1); } |
---|
| 480 | else { export r1; } |
---|
[ae4196] | 481 | ring r2=0,(u,v),dp; |
---|
| 482 | map phi =(r1,u2,uv -v,v2); export phi; |
---|
| 483 | list TeXreplace; |
---|
| 484 | TeXreplace[1] = list("phi","\\phi"); |
---|
| 485 | export TeXreplace; |
---|
| 486 | texmap("","phi",r1,r2); |
---|
| 487 | int TeXaligned; export TeXaligned; |
---|
| 488 | texmap("",phi,r1,r2,"\\C"); |
---|
| 489 | kill r1,r2,TeXreplace,TeXaligned; |
---|
[917fb5] | 490 | } |
---|
[ae4196] | 491 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 492 | |
---|
[917fb5] | 493 | proc texname(string fname, string s) |
---|
[651b46] | 494 | "USAGE: texname(fname,s); fname,s = string |
---|
| 495 | RETURN: the string s if fname == the empty string |
---|
[917fb5] | 496 | otherwise append s to file fname.tex; return nothing |
---|
| 497 | NOTE: preceeding >> end ending \".tex\" may miss in fname |
---|
[ae4196] | 498 | EXAMPLE: example texname; shows an example |
---|
[651b46] | 499 | " |
---|
[ae4196] | 500 | { |
---|
| 501 | string st, extr; |
---|
| 502 | int i,anf,end,op,bigch; |
---|
| 503 | int n; |
---|
| 504 | |
---|
| 505 | if (s[1]=="{") { return(s[2,size(s)-2]);} |
---|
| 506 | if (s=="") { return(s);} |
---|
| 507 | s = s + newline; // add a terminating sign |
---|
| 508 | anf=1; |
---|
| 509 | while(s[i]!=newline) |
---|
| 510 | { |
---|
| 511 | i =anf; |
---|
| 512 | |
---|
| 513 | while(s[i]<"0" or s[i]>"9" and s[i]!="'" and s[i]!= "_" and s[i]!="~" and |
---|
| 514 | s[i]!="(" and s[i]!=")" and s[i]!= "[" and s[i]!=newline) {i++;} |
---|
| 515 | if (s[i]==newline){st = st + s[anf,i-anf]; n = n +10*(i-anf); return(st);} |
---|
| 516 | st = st + s[anf,i-anf]; // the starting letters |
---|
| 517 | if (s[anf]>="A" and s[anf]<="Z") {bigch=1;} |
---|
| 518 | if (s[i]=="'") { st = st + "'";i++;} |
---|
| 519 | if (s[i]=="~") { st = "\\tilde{" + st + "}"; i++;} |
---|
| 520 | if (s[i]=="_") { i++;} |
---|
| 521 | if (s[i]=="(") { op =1;i++;} |
---|
| 522 | if (s[i]=="[") { anf = i+1; |
---|
| 523 | while(s[i]!="]"){i++;} // matrices and vectors |
---|
[917fb5] | 524 | st = st + "_{" + s[anf,i-anf] + "}"; n = n+ 5*(i-anf); i++; |
---|
[ae4196] | 525 | // besser: while s[i]<> nwline : scan forward: end, return |
---|
| 526 | } |
---|
| 527 | if (s[i]==newline) {return(st);} |
---|
| 528 | anf =i; |
---|
| 529 | while (s[i]>="0" and s[i]<="9") {i++;} // parse the number after the letters |
---|
| 530 | if (bigch and not(op)) { st = st + "^{" + s[anf,i-anf] + "}"; bigch =0;} |
---|
| 531 | else { st = st + "_{" + s[anf,i-anf] + "}";} |
---|
| 532 | n = n+5*(i-anf); |
---|
| 533 | anf =i; // the next text in ( , ) as exponent |
---|
[917fb5] | 534 | if (op) { if (s[i]== ","){anf = anf+1;} |
---|
[ae4196] | 535 | while(s[i] !=")"){ i++;} |
---|
| 536 | if (i<>anf){st = st + "^{" + s[anf,i-anf] + "}"; n = n +5*(i-anf);} |
---|
| 537 | i++; |
---|
| 538 | } |
---|
| 539 | anf =i; |
---|
| 540 | } |
---|
| 541 | if (size(fname)) |
---|
| 542 | { i=1; |
---|
| 543 | while (fname[i]==">"){i++;} |
---|
| 544 | fname = fname[i,size(fname)-i+1]; |
---|
| 545 | |
---|
| 546 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 547 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 548 | } |
---|
| 549 | else {fname = fname + ".tex";} |
---|
| 550 | write(fname,st); |
---|
| 551 | } |
---|
| 552 | else {return(st);} |
---|
| 553 | } |
---|
| 554 | example |
---|
| 555 | { "EXAMPLE:"; echo =2; |
---|
| 556 | ring r = 0,(x,y),lp; |
---|
| 557 | poly f = 3xy4 + 2xy2 + x5y3 + x + y6; |
---|
| 558 | texname("","{f(10)}"); |
---|
| 559 | texname("","f(10) ="); |
---|
| 560 | texname("","n1"); |
---|
| 561 | texname("","T1_12"); |
---|
| 562 | texname("","g'_11"); |
---|
| 563 | texname("","f23"); |
---|
| 564 | texname("","M[2,3]"); |
---|
| 565 | texname("","A(0,3);"); |
---|
| 566 | texname("","E~(3)"); |
---|
| 567 | } |
---|
| 568 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 569 | |
---|
| 570 | proc texobj(string fname, list #) |
---|
[651b46] | 571 | "USAGE: texobj(fname,l); fname = string,l = list of Singular dataypes |
---|
[ae4196] | 572 | RETURN: string, the objects in TeX-typesetting if fname == empty string; |
---|
[917fb5] | 573 | otherwise append this to file fname.tex; return nothing |
---|
| 574 | NOTE: preceeding ">>" end ending ".tex" may miss in fname; |
---|
[ae4196] | 575 | EXAMPLE: example texobj; shows an example |
---|
[651b46] | 576 | " |
---|
[ae4196] | 577 | { |
---|
| 578 | int i,j,k,nr,nc,linear,Tw,Dollars; |
---|
| 579 | int ND = defined(NoDollars); |
---|
| 580 | int TW = defined(TeXwidth); |
---|
| 581 | |
---|
| 582 | if(defined(basering)){ poly g,h; matrix M;} |
---|
| 583 | string s,t,l,ineq,sg,Iname; |
---|
| 584 | string sep= ","; |
---|
| 585 | string D,DA,DE = "$","\\begin{equation*}" + newline, |
---|
| 586 | "\\end{equation*}"+ newline; |
---|
[917fb5] | 587 | string OB,CB = "(",")"; |
---|
[ae4196] | 588 | if (defined(TeXbrack)) |
---|
| 589 | {// if (TeXbrack=="(") {OB = "("; CB = ")";} |
---|
| 590 | if (TeXbrack=="<") {OB = "<"; CB = ">";} |
---|
| 591 | if (TeXbrack=="{") {OB = "{"; CB = "}";} |
---|
| 592 | if (TeXbrack=="|") {OB = "|"; CB = "|";} |
---|
| 593 | if (TeXbrack=="" ) {OB = "."; CB = ".";} |
---|
| 594 | } |
---|
| 595 | |
---|
| 596 | |
---|
| 597 | if (!(TW)) { int TeXwidth = -1; export TeXwidth; } |
---|
| 598 | Tw = TeXwidth; |
---|
| 599 | |
---|
| 600 | if (defined(TeXproj)){ sep = ":";} |
---|
| 601 | if(ND) { D,DA,DE="","","";} |
---|
| 602 | else {int NoDollars; export NoDollars;} |
---|
| 603 | |
---|
| 604 | proc absterm(poly f) |
---|
| 605 | { int k; |
---|
[917fb5] | 606 | |
---|
[ae4196] | 607 | for (k=1; k<=nvars(basering); k++) |
---|
| 608 | { f = subst(f,var(k),0); } |
---|
| 609 | return(f); |
---|
| 610 | } |
---|
| 611 | |
---|
| 612 | |
---|
| 613 | if (size(#)==1) |
---|
[917fb5] | 614 | { if (typeof(#[1])=="int" or typeof(#[1])=="intvec" or typeof(#[1])=="vector" |
---|
[ae4196] | 615 | or typeof(#[1])=="number" or defined(TeXaligned)) { DA = D; DE = D; } } |
---|
| 616 | |
---|
| 617 | s = DA; |
---|
| 618 | |
---|
| 619 | for (k=1; k<=size(#); k++) |
---|
| 620 | { def obj = #[k]; |
---|
[917fb5] | 621 | if (typeof(obj) == "string") |
---|
[ae4196] | 622 | { if (defined(`obj`)) |
---|
[917fb5] | 623 | { if (typeof(`obj`)=="ideal") |
---|
[ae4196] | 624 | { Iname = obj; def e = `obj`; |
---|
| 625 | kill obj; def obj = e; kill e;} |
---|
| 626 | else {s = s + obj + newline;} |
---|
| 627 | } |
---|
| 628 | else { s = s + obj + newline;} |
---|
| 629 | } |
---|
| 630 | if (typeof(obj) == "int") { s = s + " " + string(obj) + " ";} |
---|
[917fb5] | 631 | |
---|
| 632 | if (typeof(obj) == "intvec") |
---|
[ae4196] | 633 | { s = s + " ("; |
---|
| 634 | for(j=1; j<size(obj);j++) { s = s + string(obj[j]) + sep;} |
---|
| 635 | s = s + string(obj[j]) + ") "; |
---|
| 636 | } |
---|
| 637 | |
---|
[917fb5] | 638 | if (typeof(obj) == "number" ) |
---|
[ae4196] | 639 | { s = s + texpoly("",obj) + newline; |
---|
| 640 | } |
---|
| 641 | |
---|
| 642 | if (typeof(obj) == "poly") |
---|
| 643 | { int TeXdisplay; export TeXdisplay; |
---|
| 644 | s = s + "\\begin{split}" + newline; |
---|
| 645 | s = s + texpoly("",obj) + "\\\\" + newline; |
---|
| 646 | s = s + "\\end{split}" + newline; |
---|
| 647 | kill TeXdisplay; |
---|
| 648 | } |
---|
| 649 | |
---|
[917fb5] | 650 | if (typeof(obj) == "vector") |
---|
[ae4196] | 651 | { if (obj==0) { s = s + "0" ;} |
---|
| 652 | else |
---|
| 653 | { if (Tw==0) { TeXwidth = -1;} |
---|
| 654 | s = s + "\\left" + OB; |
---|
| 655 | for(j=1; j<nrows(obj); j++) {s = s + texpoly("",obj[j]) + sep;} |
---|
| 656 | s = s + texpoly("",obj[j]) + "\\right" + CB + newline; |
---|
| 657 | TeXwidth = Tw; |
---|
| 658 | } |
---|
| 659 | } |
---|
| 660 | |
---|
[917fb5] | 661 | if (typeof(obj) == "ideal") |
---|
[ae4196] | 662 | { if (size(Iname)) // verwende hier align |
---|
| 663 | { if (Tw==0) {TeXwidth = -1;} |
---|
| 664 | |
---|
| 665 | // Lasse hier TeXwidth == 0 zu ! |
---|
| 666 | // if (!(defined(TeXaligned))) |
---|
| 667 | // { untereinander } |
---|
| 668 | // else { hintereinander } |
---|
[917fb5] | 669 | // |
---|
| 670 | // |
---|
| 671 | // s = s + Iname + "=" + texpoly("",obj,","); |
---|
[ae4196] | 672 | // siehe ebenso noch einmal am Ende : ! (TeXwidth <> 0 !? ) |
---|
| 673 | |
---|
| 674 | s = s + "\\begin{array}{rcl}" + newline; |
---|
| 675 | for (i=1;i<=size(matrix(obj));i++) |
---|
[917fb5] | 676 | { s = s + Iname+ "_{" + string(i) + "} & = & " |
---|
[ae4196] | 677 | + texpoly("",obj[i]); |
---|
| 678 | if (i<size(matrix(obj))){ s = s + "\\\\" + newline;} |
---|
| 679 | } |
---|
| 680 | s = s + newline; |
---|
| 681 | s = s + "\\end{array}" + newline; |
---|
| 682 | TeXwidth = Tw; |
---|
| 683 | Iname =""; |
---|
| 684 | } |
---|
[917fb5] | 685 | else |
---|
| 686 | { |
---|
| 687 | if (TeXwidth==0) |
---|
[ae4196] | 688 | { TeXwidth = -1; |
---|
| 689 | obj= simplify(obj,2); |
---|
| 690 | linear = 1; |
---|
| 691 | for (j=1;j<=size(obj);j++) |
---|
| 692 | { if (deg(obj[j])>1){linear =0; break;} |
---|
| 693 | } |
---|
| 694 | if (!(linear)) |
---|
| 695 | { s = s + "\\begin{array}{rcl}" + newline; |
---|
| 696 | for(j=1;j<=size(obj);j++) |
---|
| 697 | { h = absterm(obj[j]); |
---|
| 698 | ineq = attrib(obj[j],"ineq"); |
---|
| 699 | if(!(size(ineq))) { ineq = "=" ; } |
---|
| 700 | l = texpoly("",obj[j]-h) + " & " + ineq + " & " + texpoly("",-h); |
---|
| 701 | if(j<size(obj)) { l = l + " \\\\";} |
---|
| 702 | s =s+ l + newline; |
---|
| 703 | } |
---|
| 704 | s = s + "\\end{array}" + newline; |
---|
| 705 | } |
---|
| 706 | else // linear |
---|
[917fb5] | 707 | { s = s + |
---|
[ae4196] | 708 | "\\begin{array}{*{" + string(2*nvars(basering)-1) + "}{c}cr}" + newline; |
---|
[917fb5] | 709 | for(j=1; j<=size(obj);j++) |
---|
| 710 | { h = absterm(obj[j]); |
---|
[ae4196] | 711 | ineq = attrib(obj[j],"ineq"); |
---|
| 712 | if(!(size(ineq))) { ineq = "=" ; } |
---|
| 713 | l = ""; nc = 0; |
---|
| 714 | for (i=1; i<=nvars(basering);i++) |
---|
| 715 | { t = " "; sg =""; |
---|
| 716 | g = obj[j]-subst(obj[j],var(i),0); |
---|
| 717 | if (g!=0) { t = texpoly("",g);} |
---|
| 718 | if (i>1) |
---|
| 719 | { if (t[1]!="-" and t[1]!= " " and nc ){sg = "+";} |
---|
| 720 | if (t[1]=="-") { sg = "-"; nc =1; t=t[2,size(t)-1];} |
---|
[917fb5] | 721 | if (t==" ") {sg ="";} |
---|
[ae4196] | 722 | l = l + " & " + sg + " & " + t; |
---|
| 723 | } |
---|
| 724 | else { l = t;} |
---|
| 725 | if (g!=0) {nc = 1;} |
---|
| 726 | } |
---|
| 727 | |
---|
| 728 | l = l + " & " + ineq + " & " + texpoly("",-h); |
---|
| 729 | if (j < size(obj)) { l = l + " \\\\";} |
---|
| 730 | s = s + l + newline; |
---|
| 731 | } // end for (j) |
---|
| 732 | s = s + "\\end{array}"; |
---|
| 733 | } // end else linear |
---|
| 734 | TeXwidth = 0; |
---|
| 735 | } // end TeXwidth == 0 |
---|
| 736 | else // TeXwidth <> 0 |
---|
| 737 | { s = s + "\\left"+ OB; |
---|
| 738 | if (defined(TeXaligned)) |
---|
| 739 | { s = s + texpoly("",obj,","); |
---|
[917fb5] | 740 | } |
---|
[ae4196] | 741 | else |
---|
| 742 | { s = s + newline + "\\begin{array}{c}" + newline + |
---|
[917fb5] | 743 | texpoly("",obj,", \\\\" + newline) + |
---|
[ae4196] | 744 | newline + "\\end{array}" + newline; |
---|
| 745 | } |
---|
| 746 | s = s + "\\right" + CB; |
---|
[917fb5] | 747 | } // end TeXwidth <> 0 |
---|
[ae4196] | 748 | } // not Iname |
---|
| 749 | // s; |
---|
| 750 | } |
---|
| 751 | |
---|
[917fb5] | 752 | if (typeof(obj) == "module") |
---|
[ae4196] | 753 | { M = matrix(obj); |
---|
| 754 | if (Tw ==0 or Tw > 9) { TeXwidth = -1;} |
---|
| 755 | s = s + "\\left" + OB + newline; |
---|
| 756 | if (!(defined(TeXaligned))) |
---|
| 757 | { // Naechste Zeile nicht notwendig ! |
---|
[917fb5] | 758 | // s = s + "\\begin{array}{*{"+ string(ncols(M)) + "}{c}}" + newline; |
---|
| 759 | for(j=1;j<=ncols(M);j++) |
---|
[ae4196] | 760 | { l = "\\left" + OB + newline + "\\begin{array}{c}" + newline; |
---|
| 761 | l = l + texpoly("",ideal(M[1..nrows(M),j]), " \\\\" + newline) |
---|
| 762 | + newline + "\\end{array}" +newline + "\\right" + CB + newline; |
---|
| 763 | if (j< ncols(M)) { l = l + " , " + newline;} |
---|
| 764 | s = s + l ; |
---|
| 765 | } |
---|
| 766 | } |
---|
| 767 | else // TeXaligned |
---|
[917fb5] | 768 | { |
---|
| 769 | for(j=1;j<=ncols(M);j++) |
---|
[ae4196] | 770 | { s = s + "\\left" + OB + newline + |
---|
| 771 | texpoly("",ideal(M[1..nrows(M),j]),",") + newline + "\\right" + CB; |
---|
| 772 | if (j<ncols(M)) { s = s + "," + newline; } |
---|
| 773 | } |
---|
| 774 | } |
---|
| 775 | s = s + "\\right" + CB + newline; |
---|
| 776 | } // module part |
---|
| 777 | |
---|
| 778 | |
---|
| 779 | if (typeof(obj) == "matrix") |
---|
| 780 | { if (Tw==0 or Tw > 9) {TeXwidth = -1;} |
---|
| 781 | l = ""; |
---|
| 782 | // M = transpose(obj); |
---|
[917fb5] | 783 | s = s + "\\left" + OB + newline + |
---|
[ae4196] | 784 | "\\begin{array}{*{"+ string(ncols(obj)) + "}{c}" + "}"+ newline; |
---|
| 785 | for(i=1;i<=nrows(obj);i++) |
---|
| 786 | { l = l + texpoly("",ideal(obj[i,1..ncols(obj)])," & "); |
---|
| 787 | if (i<nrows(obj)) { l = l + " \\\\" + newline;} |
---|
| 788 | } |
---|
| 789 | l = l + newline; |
---|
[917fb5] | 790 | s = s + l + "\\end{array}" + newline + |
---|
[ae4196] | 791 | "\\right" + CB + newline; |
---|
| 792 | TeXwidth = Tw; |
---|
| 793 | } |
---|
[917fb5] | 794 | |
---|
[ae4196] | 795 | if (typeof(obj) == "intmat") |
---|
| 796 | { nr,nc = nrows(obj),ncols(obj); |
---|
| 797 | l = ""; |
---|
[917fb5] | 798 | l = "\\left" + OB + newline + |
---|
[ae4196] | 799 | "\\begin{array}{*{"+ string(nc) + "}{r}}"+ newline; |
---|
| 800 | for(i=1;i<=nr;i++) |
---|
[917fb5] | 801 | { for(j=1;j<=nc;j++) |
---|
[ae4196] | 802 | { l = l + string(obj[i,j]); |
---|
| 803 | if (j <nc ) { l = l + " & ";} |
---|
| 804 | else {if( i < nr) { l = l + "\\\\" + newline;}} |
---|
| 805 | } |
---|
| 806 | } |
---|
[917fb5] | 807 | l = l + newline + "\\end{array}" + newline + |
---|
[ae4196] | 808 | "\\right" + CB + newline; |
---|
[917fb5] | 809 | s = s + l; |
---|
[ae4196] | 810 | } |
---|
| 811 | |
---|
| 812 | if (typeof(obj) == "ring" or |
---|
| 813 | typeof(obj) == "qring") { s = s + D + texring("",obj) + D + newline;} |
---|
| 814 | |
---|
| 815 | kill obj; |
---|
| 816 | } |
---|
| 817 | |
---|
| 818 | s = s + DE + newline; |
---|
| 819 | |
---|
| 820 | if(!(ND)) { kill NoDollars;} |
---|
| 821 | |
---|
| 822 | // s; |
---|
| 823 | if(size(fname)) |
---|
| 824 | { i=1; |
---|
| 825 | while (fname[i]==">"){i++;} |
---|
| 826 | fname = fname[i,size(fname)-i+1]; |
---|
| 827 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 828 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 829 | } |
---|
| 830 | else {fname = fname + ".tex";} |
---|
| 831 | write(fname,s); |
---|
| 832 | } |
---|
| 833 | else {return(s);} |
---|
| 834 | } |
---|
| 835 | example |
---|
| 836 | { "EXAMPLE:"; echo =2; |
---|
| 837 | ring r = 0,(x,y),lp; |
---|
| 838 | poly f = 3xy4 + 2xy2 + x5y3 + x + y6; |
---|
| 839 | ideal G = jacob(f); |
---|
| 840 | texobj("",G); |
---|
| 841 | matrix J = jacob(G); |
---|
| 842 | texobj("",J); |
---|
| 843 | intmat m[3,4] = 9,2,4,5,2,5,-2,4,-6,10,-1,2,7; |
---|
| 844 | texobj("",m); |
---|
| 845 | ring r0 = 0,(x,y,z),dp; |
---|
| 846 | ideal I = 2x2-4yz3+2-4,zy2+2x,y5z-6x2+7y4z2 +5; |
---|
| 847 | } |
---|
| 848 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 849 | |
---|
[917fb5] | 850 | proc texproc(string fname,string pname) |
---|
[651b46] | 851 | "USAGE: opentex(fname,pname); fname,pname = string |
---|
[917fb5] | 852 | RETURN: string, the proc in a verbatim environment in TeX-typesetting |
---|
[ae4196] | 853 | if fname == empty string; |
---|
[917fb5] | 854 | otherwise append this to file fname.tex; return nothing |
---|
| 855 | NOTE: preceeding >> end ending \".tex\" may miss in fname; |
---|
| 856 | CAUTION: texproc cannot applied on itself correctly |
---|
[ae4196] | 857 | EXAMPLE: example texproc; shows an example |
---|
[651b46] | 858 | " |
---|
[ae4196] | 859 | { |
---|
| 860 | int i,j=1,1; |
---|
| 861 | string p,s,t; |
---|
| 862 | |
---|
| 863 | if (defined(pname)) |
---|
| 864 | { if (typeof(`pname`)=="proc") |
---|
| 865 | { p = string(`pname`); |
---|
| 866 | s = "\\begin{verbatim}" + newline; |
---|
| 867 | s = s + "proc " + pname + "("; |
---|
| 868 | i = find(p,"parameter"); // collecting the parameters |
---|
| 869 | while(i) |
---|
| 870 | { j=find(p,";",i); |
---|
| 871 | t = p[i+10,j-i-10]; |
---|
| 872 | if(i>1){s = s + ",";}; |
---|
| 873 | s = s + t; |
---|
| 874 | i = find(p,"parameter",j); |
---|
| 875 | } |
---|
| 876 | s = s + ")" + newline; |
---|
| 877 | j++; // skip one for the newline |
---|
| 878 | i = find(p,"return();",j); |
---|
| 879 | if (!(i)) |
---|
| 880 | { i = find(p,";RETURN();",j); } // j kann hier weg |
---|
| 881 | s = s + "{" + p[j,i-j-1] + "}" + newline; |
---|
| 882 | s = s + "\\end{verbatim}" + newline; |
---|
| 883 | } |
---|
| 884 | } |
---|
| 885 | else |
---|
| 886 | { print(" --Error: No such proc defined"); |
---|
| 887 | return(); |
---|
| 888 | } |
---|
| 889 | if(size(fname)) |
---|
| 890 | { i=1; |
---|
| 891 | while (fname[i]==">"){i++;} |
---|
| 892 | fname = fname[i,size(fname)-i+1]; |
---|
| 893 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 894 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 895 | } |
---|
[917fb5] | 896 | else {fname = fname + ".tex";} |
---|
[ae4196] | 897 | write(fname,s); |
---|
| 898 | } |
---|
[917fb5] | 899 | else{return(s);} |
---|
[ae4196] | 900 | } |
---|
| 901 | example |
---|
| 902 | { "EXAMPLE:"; echo=2; |
---|
| 903 | proc exp(int i,int j,list #) |
---|
| 904 | { string s; |
---|
| 905 | |
---|
| 906 | if (size(#)) |
---|
| 907 | { |
---|
| 908 | for(i;i<=j;i++) |
---|
| 909 | { s = s + string(j) + string(#); } |
---|
| 910 | } |
---|
| 911 | return(s); |
---|
| 912 | } |
---|
| 913 | export exp; |
---|
[917fb5] | 914 | texproc("","exp"); |
---|
[ae4196] | 915 | } |
---|
| 916 | |
---|
| 917 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 918 | |
---|
[917fb5] | 919 | proc texring(string fname, def r, list #) |
---|
[651b46] | 920 | "USAGE: texring(fname, r[,l]); fname = string; r = ring; |
---|
| 921 | l=list of strings : controls the symbol for |
---|
[917fb5] | 922 | coefficient field etc. see example texdemo(); |
---|
[ae4196] | 923 | RETURN: string, the ring in TeX-typesetting if fname == empty string; |
---|
[917fb5] | 924 | otherwise append this to file fname.tex; return nothing |
---|
| 925 | NOTE: preceeding >> end ending \".tex\" may miss in fname; |
---|
[ae4196] | 926 | EXAMPLE: example texring; shows an example |
---|
[651b46] | 927 | " |
---|
[917fb5] | 928 | { |
---|
[ae4196] | 929 | int i,galT,flag,mipo,nopar,Dollars,TB,TA; |
---|
| 930 | string ob,cb,cf,en,s,t,savebrack; //opening bracket, closing br, coef.field |
---|
| 931 | intvec v; |
---|
| 932 | |
---|
| 933 | |
---|
| 934 | proc tvar(intvec v) |
---|
[917fb5] | 935 | { |
---|
[ae4196] | 936 | int i,j,ldots; |
---|
| 937 | string s; |
---|
[917fb5] | 938 | |
---|
[ae4196] | 939 | j = 1; |
---|
| 940 | s = texpoly("",var(1)); |
---|
[917fb5] | 941 | |
---|
[ae4196] | 942 | if (nvars(basering)==1) { return(s);} |
---|
| 943 | if (nvars(basering)==2) { return(s + "," + texpoly("",var(2)));} |
---|
| 944 | if (size(v)==1 and v[1] == 1) |
---|
| 945 | {return(s + ",\\ldots,"+ texpoly("",var(nvars(basering))));} |
---|
| 946 | if (v[1]==1 and size(v) >1) {j++;} |
---|
| 947 | |
---|
| 948 | for(i=2;i<nvars(basering);i++) |
---|
| 949 | { if (i<v[j] and !(ldots)) |
---|
| 950 | { s = s + ",\\ldots"; |
---|
| 951 | ldots =1; |
---|
| 952 | } |
---|
[917fb5] | 953 | if (i== v[j]) |
---|
[ae4196] | 954 | { s = s + "," + texpoly("",var(i)); |
---|
| 955 | ldots =0; |
---|
| 956 | if (j< size(v)) {j++;} |
---|
| 957 | } |
---|
| 958 | } |
---|
| 959 | if (v[j]<nvars(basering)-1) { s = s + ",\\dotsc";} |
---|
| 960 | return(s + "," + texpoly("",var(nvars(basering)))); |
---|
| 961 | } |
---|
| 962 | |
---|
| 963 | |
---|
| 964 | setring r; |
---|
| 965 | if (!(defined(NoDollars))){ Dollars = 1; int NoDollars; export NoDollars;} |
---|
| 966 | ob,cb = "[","]"; |
---|
| 967 | if (find(ordstr(r),"s")) { ob,cb="\\{","\\}";} |
---|
| 968 | if(char(r)==0){cf="\\Q";} |
---|
| 969 | if(charstr(r)=="real"){cf="\\R";} |
---|
| 970 | if(char(r)==prime(char(r))){cf="\\Z_{"+string(char(r))+"}";} |
---|
| 971 | if(char(r)>0) |
---|
| 972 | { i = find(charstr(r),","); |
---|
| 973 | if(i) |
---|
| 974 | { t= charstr(r)[1,i-1]; |
---|
| 975 | galT = (t <> string(char(r))); |
---|
| 976 | if (galT) { cf = "\\F_{"+ t + "}";} |
---|
| 977 | } |
---|
| 978 | } // all other cases are cover already by char(r)=? prime(char) |
---|
| 979 | |
---|
| 980 | if (size(#)) |
---|
| 981 | { if (typeof(#[1])=="list") { # = #[1];} |
---|
[917fb5] | 982 | } |
---|
[ae4196] | 983 | for (i=1;i<=size(#);i++) |
---|
| 984 | { flag =0; |
---|
| 985 | if(typeof(#[i])=="string") |
---|
| 986 | { |
---|
| 987 | if(#[i][1]=="^" or #[i][1]=="_"){en=en+#[i];flag = 1;} |
---|
| 988 | if(#[i]=="mipo"){mipo=1; flag = 1;} |
---|
| 989 | if(#[i]=="{"){ob,cb="\\{","\\}";flag=1;} |
---|
| 990 | if(#[i]=="{{"){ob,cb="\\{\\{","\\}\\}";flag=1;} |
---|
| 991 | if(#[i]=="["){ob,cb="[","]";flag=1;} |
---|
| 992 | if(#[i]=="[["){ob,cb="[[","]]";flag=1;} |
---|
| 993 | if(#[i]=="<"){ob,cb="<",">";flag=1;} |
---|
| 994 | if(#[i]=="<<"){ob,cb="{\\ll}","{\\gg}";flag=1;} |
---|
| 995 | if(#[i]=="C"){cf="\\C";flag=1;} |
---|
| 996 | if(#[i]=="Q"){cf="\\Q";flag=1;} |
---|
| 997 | if((#[i]=="k" or #[i]=="K" or #[i]=="R") and !(galT)) |
---|
| 998 | {cf=#[i]; flag=1; nopar=1;} |
---|
| 999 | if (flag!=1) {cf = #[i];} // for all the cases not covered here e.g Z_(p) |
---|
| 1000 | } // or Q[i] |
---|
| 1001 | |
---|
| 1002 | if ((typeof(#[i])=="intvec") or |
---|
| 1003 | (typeof(#[i])=="int")){v=#[i];} |
---|
| 1004 | } |
---|
| 1005 | s = cf; |
---|
| 1006 | // now the parameters |
---|
| 1007 | // t; |
---|
| 1008 | if(npars(r) and ((t==string(char(r))) or char(r)==0) and !(nopar)) |
---|
| 1009 | { |
---|
| 1010 | s = s + "("; // !! mit ideal !! |
---|
| 1011 | for(i=1;i<npars(r);i++) {s = s + texpoly("",par(i)) + ",";} |
---|
| 1012 | s = s + texpoly("",par(npars(r))) + ")"; |
---|
| 1013 | } // parameters done |
---|
[917fb5] | 1014 | if (!(galT) and mipo and minpoly!=0) |
---|
[ae4196] | 1015 | { s = s + "/" + list(parsp(string(minpoly),0))[1];} |
---|
| 1016 | s = s + ob; |
---|
| 1017 | if (v!=0 and nvars(r)>3) |
---|
| 1018 | { s = s + tvar(v);} |
---|
| 1019 | else |
---|
| 1020 | { s = s + texpoly("",maxideal(1),","); } |
---|
| 1021 | s = s + cb + en; |
---|
| 1022 | |
---|
| 1023 | if (typeof(r)=="qring") |
---|
| 1024 | { ideal @I = ideal(r); |
---|
[917fb5] | 1025 | if (defined(TeXbrack)) |
---|
[ae4196] | 1026 | { |
---|
[917fb5] | 1027 | TB =1; savebrack = TeXbrack; |
---|
[ae4196] | 1028 | if (TeXbrack!= "<" and TeXbrack!="(") { TeXbrack = "<";} |
---|
| 1029 | } |
---|
| 1030 | TA = defined(TeXaligned); |
---|
| 1031 | if (!(TA)) { int TeXaligned; export TeXaligned; } |
---|
| 1032 | t = texobj("",@I); |
---|
| 1033 | // @I; |
---|
| 1034 | // t; |
---|
| 1035 | if (TB) { TeXbrack = savebrack;} |
---|
| 1036 | if (!(TA)) { kill TeXaligned;} |
---|
| 1037 | s = s + "/" + t; |
---|
| 1038 | } |
---|
| 1039 | |
---|
[917fb5] | 1040 | if (Dollars) |
---|
[ae4196] | 1041 | { kill NoDollars; |
---|
| 1042 | s = "$" + s + "$"; |
---|
| 1043 | } |
---|
| 1044 | if (size(fname)) |
---|
| 1045 | { i=1; |
---|
| 1046 | while (fname[i]==">"){i++;} |
---|
| 1047 | fname = fname[i,size(fname)-i+1]; |
---|
| 1048 | |
---|
| 1049 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 1050 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 1051 | } |
---|
| 1052 | else {fname = fname + ".tex";} |
---|
| 1053 | write(fname,s); |
---|
| 1054 | } |
---|
| 1055 | else{return(s);} |
---|
[917fb5] | 1056 | } |
---|
[ae4196] | 1057 | example |
---|
| 1058 | { "EXAMPLE:"; echo=2; |
---|
| 1059 | ring r0 = 0,(x,y,z),dp; // short varnames polynomial ordering |
---|
| 1060 | texring("",r0); |
---|
[917fb5] | 1061 | ring r7 =0,(x(0..2)),ds; // char =7, long varnames |
---|
[ae4196] | 1062 | texring("",r7); |
---|
| 1063 | ring r1 = 0,(x1,x2,y1,y2),wp(1,2,3,4); |
---|
| 1064 | texring("",r1); |
---|
| 1065 | ring r2= 0,(x_10,x_11),M(1,2,3,4); |
---|
| 1066 | texring("",r2); |
---|
| 1067 | ring rr = real,(x),dp; // real numbers |
---|
| 1068 | texring("",rr); |
---|
| 1069 | ring r; |
---|
[917fb5] | 1070 | texring("",r); |
---|
[ae4196] | 1071 | ring rabc =(0,t1,t2,t3),(x,y),dp; // parameters |
---|
| 1072 | texring("",rabc); |
---|
| 1073 | ring ralg = (7,a),(x1,x2),(ds,dp); // algebraic extension |
---|
| 1074 | minpoly = a2-a+3; |
---|
| 1075 | texring("",ralg); |
---|
| 1076 | texring("",ralg,"mipo"); |
---|
| 1077 | ring r49=(49,a),x,dp; // Galoisfield |
---|
[917fb5] | 1078 | texring("",r49); |
---|
[ae4196] | 1079 | setring r0; |
---|
| 1080 | ideal i = x2-z,xy2+1; |
---|
| 1081 | qring q = std(i); |
---|
| 1082 | q; |
---|
| 1083 | texring("",q); |
---|
| 1084 | // -------- additional features ------------- |
---|
| 1085 | ring r10 =0,(x(0..10)),dp; |
---|
| 1086 | texring("",r10,1); |
---|
| 1087 | ring rxy = 0,(x(1..5),y(1..6)),ds; |
---|
| 1088 | intvec v = 5,6; |
---|
| 1089 | texring("",rxy,v); |
---|
[917fb5] | 1090 | texring("",r0,"C","{"); |
---|
[ae4196] | 1091 | texring("",ralg,"k"); |
---|
| 1092 | texring("",r7,"^G"); |
---|
| 1093 | list TeXreplace; |
---|
| 1094 | TeXreplace[1] = list("x","\\xi"); |
---|
| 1095 | TeXreplace[2] = list ("t","\\lambda"); |
---|
| 1096 | export TeXreplace; |
---|
| 1097 | texring("",rabc); |
---|
| 1098 | texring("",r7); |
---|
| 1099 | kill TeXreplace; |
---|
| 1100 | } |
---|
| 1101 | |
---|
| 1102 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1103 | |
---|
| 1104 | proc rmx(string fname) |
---|
[651b46] | 1105 | "USAGE: rmx(fname); fname = string |
---|
[917fb5] | 1106 | RETURN: nothing; removes .log and .aux files associated to file <fname> |
---|
[651b46] | 1107 | removes tex and xdvi file too, if suffix \".tex\" or \".dvi\" is given |
---|
[917fb5] | 1108 | NOTE: if fname ends by .dvi or .tex |
---|
| 1109 | fname.dvi or fname.dvi and fname.tex will be deleted, too |
---|
[ae4196] | 1110 | EXAMPLE: example rmx; shows an example |
---|
[651b46] | 1111 | " |
---|
[ae4196] | 1112 | { |
---|
| 1113 | int i,suffix= 1,0; |
---|
[917fb5] | 1114 | int retval; |
---|
[ae4196] | 1115 | |
---|
| 1116 | if (size(fname)) |
---|
| 1117 | { |
---|
| 1118 | while (fname[i]==">"){i++;} |
---|
| 1119 | fname = fname[i,size(fname)-i+1]; |
---|
| 1120 | if (size(fname)>4) |
---|
| 1121 | { if (fname[size(fname)-3,4]==".tex") { suffix = 2;} |
---|
| 1122 | if (fname[size(fname)-3,4]==".dvi") { suffix = 1; } |
---|
| 1123 | if (suffix) { fname = fname[1,size(fname)-4]; } |
---|
[917fb5] | 1124 | } |
---|
[ae4196] | 1125 | retval = system("sh","rm " + fname + ".aux"); |
---|
| 1126 | retval = system("sh","rm " + fname + ".log"); |
---|
| 1127 | if (suffix==2) {retval = system("sh","/bin/rm -i " + fname +".tex");} |
---|
| 1128 | if (suffix>=1) {retval = system("sh","/bin/rm -i " + fname +".dvi");} |
---|
| 1129 | } |
---|
| 1130 | else |
---|
| 1131 | {" -- Need a filename "; |
---|
| 1132 | return(); |
---|
[917fb5] | 1133 | } |
---|
[ae4196] | 1134 | } |
---|
| 1135 | example |
---|
| 1136 | { "EXAMPLE:"; echo =2; |
---|
[8afd58] | 1137 | LIB "inout.lib"; |
---|
[ae4196] | 1138 | ring r; |
---|
| 1139 | poly f = x+y+z; |
---|
| 1140 | opentex("exp001"); // defaulted latex2e document |
---|
| 1141 | texobj("exp001","A polynom",f); |
---|
| 1142 | closetex("exp001"); |
---|
| 1143 | tex("exp001"); |
---|
| 1144 | rmx("exp001"); // removes aux and log file of exp001 |
---|
| 1145 | |
---|
| 1146 | opentex("exp002","tex"); // create a texdocument |
---|
| 1147 | texpoly("exp002",f); |
---|
| 1148 | closetex("exp002"); |
---|
| 1149 | tex("exp002","tex"); |
---|
| 1150 | rmx("exp002.tex"); // removes aux, log, dvi and tex file of exp002 |
---|
| 1151 | echo = 0; |
---|
[917fb5] | 1152 | pause("remaining files will be deleted after pressing <RETURN>"); |
---|
[ae4196] | 1153 | echo = 2; |
---|
| 1154 | system("sh","rm -i exp00?.*"); |
---|
| 1155 | } |
---|
| 1156 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1157 | |
---|
| 1158 | proc xdvi(string fname, list #) |
---|
[651b46] | 1159 | "USAGE: xdvi(fname[,style]); fname,style = string |
---|
[ae4196] | 1160 | RETURN: nothing; displays dvi-file fname.dvi with previewer xdvi |
---|
| 1161 | NOTE: ending .dvi may miss in fname |
---|
| 1162 | style overwrites the default setting xdvi |
---|
[651b46] | 1163 | EXAMPLE: example xdvi; shows an example |
---|
| 1164 | " |
---|
[ae4196] | 1165 | { |
---|
| 1166 | int i=1; |
---|
| 1167 | int retval; |
---|
[917fb5] | 1168 | string default = "xdvi"; |
---|
| 1169 | |
---|
[ae4196] | 1170 | if (size(#)) {default = string(#[1]);} |
---|
[917fb5] | 1171 | |
---|
[ae4196] | 1172 | if (size(fname)) |
---|
| 1173 | { |
---|
| 1174 | while (fname[i]==">") {i++;} |
---|
| 1175 | fname = fname[i,size(fname)-i+1]; |
---|
| 1176 | |
---|
| 1177 | if (size(fname)>=4) |
---|
| 1178 | { if(fname[size(fname)-3,4]==".tex") {fname = fname[1,size(fname)-4];}} |
---|
[917fb5] | 1179 | |
---|
| 1180 | "calling ",default, " for :",fname,newline; |
---|
| 1181 | |
---|
[ae4196] | 1182 | retval = system("sh",default + " " + fname + " &"); |
---|
| 1183 | } |
---|
| 1184 | else |
---|
| 1185 | { " -- Need a filename "; |
---|
| 1186 | return(); |
---|
| 1187 | } |
---|
| 1188 | } |
---|
| 1189 | example |
---|
| 1190 | { "EXAMPLE:"; echo = 2; |
---|
[8afd58] | 1191 | LIB "inout.lib"; |
---|
[ae4196] | 1192 | ring r; |
---|
| 1193 | ideal i = maxideal(7); |
---|
| 1194 | opentex("exp001"); // defaulted latex2e document |
---|
| 1195 | texobj("exp001","An ideal",i); |
---|
| 1196 | closetex("exp001"); |
---|
| 1197 | tex("exp001"); |
---|
| 1198 | xdvi("exp001"); |
---|
| 1199 | echo = 0; |
---|
[917fb5] | 1200 | pause("the created files will be deleted after pressing <RETURN>"); |
---|
[ae4196] | 1201 | echo = 2; |
---|
[917fb5] | 1202 | system("sh","rm -i exp00?.*"); |
---|
[ae4196] | 1203 | } |
---|
| 1204 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1205 | |
---|
| 1206 | proc texpoly(string fname,def p,list #) |
---|
[651b46] | 1207 | "USAGE: texpoly(fname,p[,l]); fname = string; p = poly,ideal; l formation str |
---|
| 1208 | RETURN: string, the objects in TeX-typesetting if fname == empty string; |
---|
[917fb5] | 1209 | otherwise append this to file fname.tex; return nothing |
---|
| 1210 | NOTE: preceeding ">>" end ending ".tex" may miss in fname; |
---|
[afcf7d] | 1211 | EXAMPLE: example texpoly; shows an example |
---|
[651b46] | 1212 | " |
---|
[917fb5] | 1213 | { |
---|
[ae4196] | 1214 | def @r = basering; |
---|
| 1215 | |
---|
| 1216 | poly f,monom; |
---|
| 1217 | ideal I; |
---|
| 1218 | number cfm; |
---|
| 1219 | string sign,cfmt,pt,s,bg,t,monomt, lnbreak; |
---|
| 1220 | string sep = newline; |
---|
[917fb5] | 1221 | int i,b,b2,n, msz,linesz, count,k; |
---|
[ae4196] | 1222 | int realT, parT, galT; |
---|
| 1223 | int C = 2 + defined(TeXdisplay); |
---|
| 1224 | |
---|
| 1225 | string notvalid = "intvec intmat vector matrix module map "; |
---|
| 1226 | |
---|
| 1227 | if (typeof(p) == "int") { return(p);} |
---|
| 1228 | if (typeof(p) == "ring" or typeof(p) == "qring") |
---|
| 1229 | { " -- Call texring instead "; return();} |
---|
[917fb5] | 1230 | if (find(notvalid,typeof(p))) |
---|
[ae4196] | 1231 | { " -- Call texobj instead "; return();} |
---|
| 1232 | if (typeof(p) == "map") |
---|
| 1233 | { " -- Call texmap instead "; return();} |
---|
| 1234 | if (typeof(p) == "proc") |
---|
| 1235 | { " -- Call texmap instead "; return();} |
---|
| 1236 | if (typeof(p) == "link" or typeof(p) == "list" or typeof(p) == "resolution") |
---|
| 1237 | { " -- Object can not translated into tex "; return();} |
---|
| 1238 | |
---|
| 1239 | if (!(defined(TeXdisplay))){ lnbreak = "\\\\[2mm]" + newline;} |
---|
| 1240 | else { lnbreak = "\\\\" + newline;} |
---|
| 1241 | |
---|
| 1242 | proc parsr(string s) // parse real |
---|
[917fb5] | 1243 | { string t; |
---|
| 1244 | |
---|
| 1245 | if (s==" Inf") { return("\\infty",3);} |
---|
[ae4196] | 1246 | if (s==" -Inf") { return("\\-infty",6);} |
---|
| 1247 | if (s[7]=="-"){t ="-";} |
---|
| 1248 | if (s[8]<>"0"){t = t + s[8];} |
---|
| 1249 | if (s[9]<>"0" or s[8]<>"0"){t = t + s[9];} |
---|
[917fb5] | 1250 | if (size(t)) |
---|
[ae4196] | 1251 | { if (t=="1") {return(s[1,5]+"*10",21);} |
---|
| 1252 | if (size(t)>1) {return(s[1,5]+"*10^{"+t+"}",21+2*size(t));} |
---|
| 1253 | else {return(s[1,5]+"*10^"+t,23);} |
---|
| 1254 | } |
---|
| 1255 | else {return(s[1,5],12);} |
---|
| 1256 | } |
---|
| 1257 | |
---|
| 1258 | proc parsg(string s) // parse Galoisfield |
---|
| 1259 | { int i,j = 1,1; |
---|
| 1260 | string t; |
---|
[917fb5] | 1261 | |
---|
[ae4196] | 1262 | if (short) |
---|
[917fb5] | 1263 | { t =s[1]; |
---|
[ae4196] | 1264 | if(size(s)>1) {return(t+"^{" + s[2,size(s)-1] + "}",3+2*(size(s)-1));} |
---|
[917fb5] | 1265 | else{return(t,5);} |
---|
[ae4196] | 1266 | } |
---|
| 1267 | else |
---|
| 1268 | { return(parselong(s+"!"));} |
---|
| 1269 | } |
---|
[917fb5] | 1270 | |
---|
[ae4196] | 1271 | if (defined(TeXdisplay)) { bg = "& ";} |
---|
| 1272 | if (!(defined(TeXwidth))) { int TeXwidth = -1; export TeXwidth;} |
---|
| 1273 | |
---|
| 1274 | |
---|
| 1275 | // -- Type check |
---|
[917fb5] | 1276 | |
---|
[ae4196] | 1277 | if (typeof(p)=="string") |
---|
| 1278 | { if(defined(`p`)) |
---|
[917fb5] | 1279 | { pt = p + " = "; |
---|
| 1280 | p = `p`; |
---|
[ae4196] | 1281 | } |
---|
| 1282 | } |
---|
| 1283 | if (typeof(p)=="poly" or typeof(p)=="number") {I = p;} |
---|
[917fb5] | 1284 | |
---|
| 1285 | if (typeof(p)=="ideal") |
---|
[ae4196] | 1286 | { I = p; |
---|
| 1287 | if(size(#)){ sep = #[1];} |
---|
| 1288 | } |
---|
| 1289 | |
---|
[917fb5] | 1290 | if (I==0) |
---|
[ae4196] | 1291 | { if (!(defined(NoDollars))){return("$0$");} |
---|
| 1292 | else {return("0");} |
---|
| 1293 | } |
---|
| 1294 | |
---|
[917fb5] | 1295 | // -- Type check ende |
---|
[ae4196] | 1296 | |
---|
[917fb5] | 1297 | //--------------------- |
---|
[ae4196] | 1298 | |
---|
| 1299 | |
---|
| 1300 | //------- set flags: -------------------------------------------------------- |
---|
[917fb5] | 1301 | |
---|
[ae4196] | 1302 | if (size(#)) |
---|
| 1303 | { if (typeof(#[1])=="int") { linesz = #[1];} |
---|
| 1304 | // if (typeof(#[1])=="string") { linesz = #[1];} |
---|
| 1305 | } |
---|
| 1306 | |
---|
| 1307 | parT = npars(@r); |
---|
| 1308 | realT = (charstr(@r)=="real"); |
---|
| 1309 | i = find(charstr(@r),","); |
---|
| 1310 | if (i) |
---|
| 1311 | { t = charstr(@r)[1,i-1]; |
---|
| 1312 | galT = (t <> string(char(@r))); // the char is not the same as the ... |
---|
[917fb5] | 1313 | } |
---|
[ae4196] | 1314 | i = 0; |
---|
[917fb5] | 1315 | |
---|
[ae4196] | 1316 | //------- parse the polynom |
---|
| 1317 | pt = bg; |
---|
[917fb5] | 1318 | |
---|
[ae4196] | 1319 | for(k=1;k<=size(matrix(I));k++) |
---|
| 1320 | { i = 0; linesz = 0; count =0; |
---|
[917fb5] | 1321 | sign =""; |
---|
[ae4196] | 1322 | f = I[k]; |
---|
| 1323 | if (f==0) { pt = pt + "0";} |
---|
| 1324 | while(f<>0) |
---|
| 1325 | { count++; msz = 0; |
---|
| 1326 | |
---|
| 1327 | // ------ tex the coefficient |
---|
[917fb5] | 1328 | monom = lead(f); |
---|
| 1329 | f = f - monom; |
---|
[ae4196] | 1330 | cfm = leadcoef(monom); |
---|
| 1331 | if (cfm*1 != 0) { monom = monom/cfm;} // the normalized monom |
---|
| 1332 | s = string(monom) + "!"; // add a terminating sign |
---|
| 1333 | cfmt = ""; |
---|
[917fb5] | 1334 | |
---|
[ae4196] | 1335 | if (defined(TeXreplace)) { short =0;} // this is essential |
---|
| 1336 | cfmt = string(cfm); |
---|
| 1337 | if (size(cfmt)>1) // check if sign is < 0 |
---|
| 1338 | { if (cfmt[2]=="-") { cfm = (-1) *cfm; sign = "-";}} |
---|
| 1339 | if (cfmt[1] == "-") { cfm = (-1) * cfm; sign = "-";} |
---|
| 1340 | if (cfm!=1 or monom==1) {cfmt = string(cfm);} |
---|
| 1341 | else {cfmt="";} |
---|
| 1342 | |
---|
| 1343 | if (defined(TeXwidth) and TeXwidth > 0 and TeXwidth <9 and count> TeXwidth) |
---|
| 1344 | { pt = pt + sign + "\\dotsb"; break;} |
---|
| 1345 | // ---------------------------------------- linesz ?? |
---|
| 1346 | |
---|
| 1347 | if (size(cfmt)) // parse the coefficient |
---|
| 1348 | { |
---|
| 1349 | monomt = cfmt; // (already a good choice for integers) |
---|
| 1350 | msz = 3*size(cfmt); |
---|
| 1351 | |
---|
| 1352 | if(realT) { monomt,msz = parsr(cfmt);} |
---|
| 1353 | if (galT) { monomt,msz = parsg(cfmt);} |
---|
| 1354 | b = find(cfmt,")/("); // look if fraction |
---|
| 1355 | b2 = find(cfmt,"/"); |
---|
| 1356 | if (b) {b++;} |
---|
| 1357 | n = size(cfmt); |
---|
[917fb5] | 1358 | if (!(parT) and !(realT) and !(galT)) |
---|
| 1359 | { if( !(b2) or defined(TeXnofrac)) |
---|
[ae4196] | 1360 | { monomt = cfmt; msz = 3*size(monomt);} |
---|
| 1361 | else |
---|
| 1362 | { monomt = "\\frac{" + cfmt[1,b2-1] + "}{" + cfmt[b2+1,n-b2] + "}"; |
---|
| 1363 | if (n-2*b2>0) {msz = C*(n-b2);} |
---|
| 1364 | else {msz = C*b2;} |
---|
| 1365 | } |
---|
| 1366 | } |
---|
| 1367 | if (parT and !(galT)) |
---|
| 1368 | { monomt,msz = parsp(cfmt,b);} |
---|
| 1369 | } |
---|
| 1370 | |
---|
| 1371 | // -- now parse the monom |
---|
| 1372 | if (monom <> 1) |
---|
[917fb5] | 1373 | { i = 1; |
---|
[ae4196] | 1374 | if(short) |
---|
| 1375 | { while(s[i]<>"!") |
---|
[917fb5] | 1376 | { monomt = monomt + s[i]; i++; |
---|
[ae4196] | 1377 | b = i; |
---|
| 1378 | msz = msz + 3; // it was a single lettered var |
---|
| 1379 | while(s[i]!="!" and s[i]>="0" and s[i]<="9"){i++;} |
---|
| 1380 | if (i-b) |
---|
| 1381 | { monomt = monomt + "^{" + s[b,i-b] + "}"; |
---|
| 1382 | msz = msz + 2*(i-b); |
---|
| 1383 | } |
---|
| 1384 | } |
---|
| 1385 | } |
---|
| 1386 | else // not short |
---|
| 1387 | { t,i = parselong(s); |
---|
| 1388 | monomt = monomt + t; |
---|
| 1389 | msz = msz + i; |
---|
| 1390 | } |
---|
| 1391 | } |
---|
[917fb5] | 1392 | |
---|
[ae4196] | 1393 | |
---|
| 1394 | |
---|
| 1395 | msz = msz + 6*size(sign); // Wieso mal 6 ?? |
---|
| 1396 | // string(msz) + " ," + string(linesz) + " " + string(cfm*monom); |
---|
| 1397 | |
---|
| 1398 | if (TeXwidth > 10 and (linesz + msz > 3*TeXwidth) and linesz) |
---|
[917fb5] | 1399 | { pt = pt + lnbreak + bg; |
---|
| 1400 | linesz = msz; |
---|
[ae4196] | 1401 | } |
---|
[917fb5] | 1402 | else { linesz = linesz + msz; } // 3 for sign |
---|
[ae4196] | 1403 | pt = pt + sign + monomt; |
---|
| 1404 | sign = "+"; |
---|
| 1405 | monomt = ""; |
---|
| 1406 | } |
---|
| 1407 | |
---|
| 1408 | if (k<size(matrix(I))){ pt = pt + sep;} |
---|
| 1409 | } |
---|
| 1410 | |
---|
| 1411 | if (TeXwidth==0 and typeof(p)=="poly"){ pt = pt + "= 0";} |
---|
| 1412 | if (not(defined(NoDollars))) { pt = "$"+pt+"$";} |
---|
| 1413 | |
---|
| 1414 | if (size(fname)) |
---|
| 1415 | { i=1; |
---|
| 1416 | while (fname[i]==">"){i++;} |
---|
| 1417 | fname = fname[i,size(fname)-i+1]; |
---|
| 1418 | |
---|
| 1419 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 1420 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 1421 | } |
---|
| 1422 | else {fname = fname + ".tex";} |
---|
| 1423 | write(fname,pt); |
---|
| 1424 | } |
---|
| 1425 | else {return(pt);} |
---|
[917fb5] | 1426 | } |
---|
[ae4196] | 1427 | example |
---|
| 1428 | { "EXAMPLE:"; echo =2; |
---|
| 1429 | ring r0=0,(x,y,z),dp; |
---|
| 1430 | poly f = -1x^2 + 2; |
---|
| 1431 | texpoly("",f); |
---|
| 1432 | texpoly("",2x2y23z); |
---|
[917fb5] | 1433 | |
---|
[ae4196] | 1434 | |
---|
| 1435 | ring rr= real,(x,y),dp; |
---|
| 1436 | |
---|
| 1437 | ring r7= 7,(x,y,z),dp; |
---|
| 1438 | poly f = 2x2y23z; |
---|
| 1439 | texpoly("",f); |
---|
| 1440 | ring rab =(0,a,b),(x,y,z),dp; |
---|
| 1441 | poly f = (-2a2 +b3 -2)/a * x2y4z5 + (a2+1)*x + a+1; |
---|
| 1442 | f; |
---|
| 1443 | texpoly("",f); |
---|
[917fb5] | 1444 | } |
---|
[ae4196] | 1445 | |
---|
[651b46] | 1446 | static proc parsp(string cfmt, int b) |
---|
[ae4196] | 1447 | { string mt, nom,denom; |
---|
| 1448 | int fl1,fl2,sz1,sz2,msz; |
---|
| 1449 | |
---|
| 1450 | if (!(b)) |
---|
| 1451 | { mt,fl1 = parst(cfmt,0); msz = size(cfmt)-2; |
---|
| 1452 | if (fl1) { mt = "(" + mt + ")"; msz = msz +1; } |
---|
| 1453 | } |
---|
| 1454 | else |
---|
| 1455 | { nom,fl1 = parst(cfmt[1,b-1],1); |
---|
| 1456 | denom,fl2 = parst(cfmt[b+1,size(cfmt)-b],1); |
---|
| 1457 | if (defined(TeXnofrac)) |
---|
| 1458 | { if(fl1) { nom = "(" + nom + ")"; sz1++;} |
---|
| 1459 | if(fl2) {denom = "(" + denom + ")"; sz2++;} |
---|
| 1460 | mt = nom+ "/"+ denom; msz = sz1+sz2 +1; |
---|
| 1461 | } |
---|
| 1462 | else |
---|
| 1463 | { mt = "\\frac{" + nom + "}{" + denom + "}"; |
---|
| 1464 | if (sz1-sz2) { msz = 5*sz1;} |
---|
| 1465 | else {msz = 5*sz2;} |
---|
| 1466 | } |
---|
| 1467 | } |
---|
| 1468 | return(mt,msz); |
---|
| 1469 | } |
---|
| 1470 | example |
---|
| 1471 | {"EXAMPLE:"; echo =2; |
---|
| 1472 | ring r=(0,a,b),x,dp; |
---|
| 1473 | int i; |
---|
| 1474 | poly f = (a2b12 + 23a2 -b13-1)/(a2+2b -1); |
---|
| 1475 | f; |
---|
| 1476 | string s; |
---|
| 1477 | s= string(f); |
---|
| 1478 | i = find(s,")/("); |
---|
| 1479 | parsp(s,i); |
---|
| 1480 | } |
---|
| 1481 | |
---|
[651b46] | 1482 | static proc parst(string s,int sec) // parse parameter |
---|
[ae4196] | 1483 | // sec parameter to see if in parsp a fraction follows |
---|
| 1484 | { int i,j =1,-1; |
---|
[917fb5] | 1485 | int b,k,jj,mz; // begin and end |
---|
[ae4196] | 1486 | int saveshort=short; |
---|
| 1487 | string t,c,vn,nom,denom,sg; |
---|
[6a7528] | 1488 | if (s[1]=="(") { s = s[2,size(s)-2]; } |
---|
| 1489 | s = s + "!"; |
---|
[ae4196] | 1490 | |
---|
| 1491 | if(defined(TeXreplace)){ short =0;} // only then replacing works correctly |
---|
| 1492 | if (short) |
---|
| 1493 | { while(s[i]<>"!") |
---|
| 1494 | { b=i; j++; |
---|
| 1495 | while(s[i]>="0" and s[i]<="9" or (s[i]=="+" or s[i]=="-") and s[i]!="!") |
---|
[6a7528] | 1496 | {i++;} // scan the number |
---|
[ae4196] | 1497 | t =s[b,i-b]; |
---|
| 1498 | // if (t=="-1" and s[i]!="!" and s[i]!="-" and s[i]!="+"){t = "-";} |
---|
| 1499 | if (t=="-1" and (s[i]<="0" or s[i]>="9") and s[i]!= "/" and s[i]!="!") |
---|
| 1500 | { |
---|
[6a7528] | 1501 | t = "-";} |
---|
| 1502 | if (s[i]=="/") |
---|
[ae4196] | 1503 | { i++; |
---|
| 1504 | sg = ""; |
---|
| 1505 | if (t[1]=="+" or t[1]=="-") |
---|
| 1506 | { nom = t[2,size(t)-1]; |
---|
| 1507 | sg = t[1]; |
---|
| 1508 | } |
---|
| 1509 | else { nom = t;} |
---|
[6a7528] | 1510 | b =i; |
---|
[ae4196] | 1511 | while(s[i]>="0" and s[i]<="9") {i++;} |
---|
| 1512 | denom = s[b,i-b]; |
---|
| 1513 | if (!(sec) and (!(defined(TeXaligned)))) |
---|
| 1514 | { t = sg + "\\frac{" + nom + "}{" + denom + "}";} |
---|
| 1515 | else |
---|
| 1516 | { t = sg + "(" + nom + "/" + denom + ")"; |
---|
| 1517 | } |
---|
[6a7528] | 1518 | } |
---|
[ae4196] | 1519 | c = c + t; |
---|
| 1520 | if(s[i]!="!"){c = c + s[i]; i++;} // the parameter |
---|
| 1521 | b=i; |
---|
| 1522 | while(s[i]>="0" and s[i]<="9") |
---|
| 1523 | {i++;} //the exponent |
---|
| 1524 | if(i-b){ c = c + "^{" + s[b,i-b]+"}";} |
---|
| 1525 | } |
---|
| 1526 | } |
---|
| 1527 | else // if not short .... |
---|
[6a7528] | 1528 | { while (s[i] <> "!") |
---|
[ae4196] | 1529 | { b=i; j++; |
---|
| 1530 | while(s[i]=="-" or s[i]=="+" or (s[i]>="0" and s[i]<="9")){i++;} |
---|
| 1531 | t = s[b,i-b]; |
---|
| 1532 | if (t=="-1" and s[i]=="*" ) {t="-";} |
---|
[6a7528] | 1533 | if (s[i]=="/") |
---|
[ae4196] | 1534 | { i++; |
---|
| 1535 | sg = ""; |
---|
| 1536 | if (t[1]=="+" or t[1]=="-") |
---|
| 1537 | { nom = t[2,size(t)-1]; |
---|
| 1538 | sg = t[1]; |
---|
| 1539 | } |
---|
| 1540 | else { nom = t;} |
---|
[6a7528] | 1541 | b =i; |
---|
[ae4196] | 1542 | while(s[i]>="0" and s[i]<="9") {i++;} |
---|
| 1543 | denom = s[b,i-b]; |
---|
| 1544 | if (!(sec) and (!(defined(TeXaligned)))) |
---|
| 1545 | { t = sg + "\\frac{" + nom + "}{" + denom + "}";} |
---|
| 1546 | else |
---|
| 1547 | { t = sg + "(" + nom + "/" + denom + ")"; |
---|
| 1548 | } |
---|
[6a7528] | 1549 | } |
---|
| 1550 | c = c+t; t=""; |
---|
| 1551 | if (s[i]=="*"){i++;} |
---|
[ae4196] | 1552 | b=i; |
---|
| 1553 | while(s[i]!="+" and s[i]!="-" and s[i]!="!") //pass a monom |
---|
[6a7528] | 1554 | { // start with letters |
---|
[ae4196] | 1555 | // alternativ: |
---|
| 1556 | while((s[i]>="a" and s[i]<="z") or (s[i]>="A" and s[i]<="Z")){i++;} |
---|
[6a7528] | 1557 | k = i-b; |
---|
[ae4196] | 1558 | vn = s[b,k]; |
---|
| 1559 | if (defined(TeXreplace)) |
---|
[6a7528] | 1560 | { for (jj=1; jj<= size(TeXreplace);jj++) |
---|
| 1561 | { if (vn == TeXreplace[jj][1]) |
---|
[ae4196] | 1562 | {vn = TeXreplace[jj][2]; k=1; |
---|
[6a7528] | 1563 | if (s[i]=="*") {vn = vn + " ";} |
---|
[ae4196] | 1564 | break;} //suppose replacing by a single sign |
---|
| 1565 | } |
---|
| 1566 | } |
---|
| 1567 | t = t + vn; |
---|
| 1568 | mz = mz + 10*k; |
---|
| 1569 | if (s[i]=="_" or s[i]=="(") { i++;} // the index is coming |
---|
| 1570 | b = i; |
---|
| 1571 | while(s[i]>="0" and s[i]<="9"){ i++;} |
---|
| 1572 | k = i-b; |
---|
| 1573 | if (k){ t = t + "_{" +s[b,k] + "}";} |
---|
| 1574 | if(s[i]==")") {i++;} |
---|
| 1575 | if (s[i]=="^") |
---|
| 1576 | { i++; b = i; |
---|
| 1577 | while(s[i]>="0" and s[i]<="9"){ i++;} // for neg. expon. |
---|
| 1578 | if (b-i) { t = t + "^{" + s[b,i-b] + "}";} |
---|
| 1579 | } |
---|
| 1580 | if (i-b > k) { mz = mz + 5*(i-b);} |
---|
| 1581 | else {mz = mz + 5*k;} |
---|
| 1582 | if (s[i]=="*"){i++;} |
---|
| 1583 | b=i; |
---|
| 1584 | } |
---|
| 1585 | c =c+t; |
---|
| 1586 | } |
---|
| 1587 | } |
---|
| 1588 | short = saveshort; |
---|
| 1589 | return(c,j); |
---|
| 1590 | } |
---|
| 1591 | example |
---|
| 1592 | { "EXAMPLE:"; echo =2; |
---|
| 1593 | ring r=(0,a,b),x,dp; |
---|
| 1594 | poly f = (a2b12 + 23a2 -b13-1); |
---|
| 1595 | f; |
---|
| 1596 | parst(string(f)); |
---|
[6a7528] | 1597 | |
---|
[ae4196] | 1598 | f =(-a +4b2 -2); |
---|
| 1599 | f; |
---|
| 1600 | parst(string(f)); |
---|
[6a7528] | 1601 | |
---|
[ae4196] | 1602 | f = a23; |
---|
| 1603 | f; |
---|
| 1604 | parst(string(f)); |
---|
| 1605 | f = 2a12b3 -4ab15 +2a4b12 -2; |
---|
| 1606 | short =0; |
---|
| 1607 | f; |
---|
| 1608 | parst(string(f)); |
---|
| 1609 | ring r2=(0,a1,b1),x,dp; |
---|
| 1610 | poly f = 2*a1^12*b1^3 -4*a1*b1^15 +2*a1^4*b1^12 -2; |
---|
| 1611 | f; |
---|
| 1612 | parst(string(f)); |
---|
| 1613 | } |
---|
| 1614 | |
---|
| 1615 | |
---|
[651b46] | 1616 | static proc parselong(string s) |
---|
[6a7528] | 1617 | { |
---|
[ae4196] | 1618 | int i,j,k,b,mz; |
---|
| 1619 | string t,vn; // varname |
---|
[6a7528] | 1620 | |
---|
[ae4196] | 1621 | // "s=" + s; |
---|
[6a7528] | 1622 | i = 1; |
---|
| 1623 | while (s[i] <> "!") |
---|
| 1624 | { b=i; |
---|
| 1625 | |
---|
[ae4196] | 1626 | // -- scan now the letter ... |
---|
| 1627 | |
---|
| 1628 | // while(s[i]!="!" and ) |
---|
| 1629 | |
---|
| 1630 | // alternativ: |
---|
| 1631 | while((s[i]>="a" and s[i]<="z") or (s[i]>="A" and s[i]<="Z")) |
---|
| 1632 | { i++;} |
---|
| 1633 | // s[i]; i; |
---|
[6a7528] | 1634 | k = i-b; |
---|
[ae4196] | 1635 | vn = s[b,k]; |
---|
| 1636 | |
---|
| 1637 | if (defined(TeXreplace)) |
---|
[6a7528] | 1638 | { for (j=1; j<= size(TeXreplace);j++) |
---|
| 1639 | { if (vn == TeXreplace[j][1]) |
---|
[ae4196] | 1640 | {vn = TeXreplace[j][2]; k=1; |
---|
[6a7528] | 1641 | if (s[i]=="*") {vn = vn + " ";} |
---|
[ae4196] | 1642 | break;} //suppose replacing by a single sign |
---|
| 1643 | } |
---|
| 1644 | } |
---|
| 1645 | t = t + vn; |
---|
| 1646 | mz = mz + 10*k; |
---|
| 1647 | if (s[i]=="_" or s[i]=="(") { i++;} // the index is coming |
---|
| 1648 | b = i; |
---|
| 1649 | while(s[i]>="0" and s[i]<="9"){ i++;} |
---|
| 1650 | j = i-b; |
---|
| 1651 | if (j){ t = t + "_{" +s[b,j] + "}";} |
---|
| 1652 | if(s[i]==")") {i++;} |
---|
| 1653 | if (s[i]=="^") |
---|
| 1654 | { i++; b = i; |
---|
| 1655 | while(s[i]>="0" and s[i]<="9" or s[i]=="-") |
---|
| 1656 | { i++;} // for neg. expon. |
---|
| 1657 | if (b-i) { t = t + "^{" + s[b,i-b] + "}";} |
---|
| 1658 | } |
---|
| 1659 | if (i-b > j) { mz = mz + 5*(i-b);} |
---|
| 1660 | else {mz = mz + 5*j;} |
---|
| 1661 | if (s[i]=="*"){i++;} |
---|
| 1662 | } |
---|
| 1663 | return(t,mz); |
---|
| 1664 | } |
---|
| 1665 | example |
---|
[6a7528] | 1666 | { "EXAMPLE:"; echo =2; |
---|
[ae4196] | 1667 | ring r =(49,a),x,dp; |
---|
| 1668 | number f = a13; |
---|
| 1669 | parsg(string(f)); |
---|
| 1670 | list TeXreplace; export TeXreplace; |
---|
| 1671 | TeXreplace[1] = list("b","\\beta"); |
---|
| 1672 | TeXreplace[2] = list("a","\\alpha"); |
---|
[6a7528] | 1673 | TeXreplace[3] = list("c","\\gamma"); |
---|
[ae4196] | 1674 | parselong(string(f)+"!"); |
---|
| 1675 | } |
---|
| 1676 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1677 | |
---|
[afcf7d] | 1678 | |
---|
| 1679 | proc tktex (def d) |
---|
| 1680 | { |
---|
| 1681 | // calls appropriate proc from latex lib |
---|
| 1682 | |
---|
| 1683 | string typeofd =typeof(d); |
---|
| 1684 | if (typeofd=="int" or typeofd=="string" or typeofd=="resolution" or typeofd=="map" or typeofd =="list"){ return(d);} |
---|
| 1685 | |
---|
| 1686 | if (typeofd=="intvec" or typeofd == "intmat" or typeofd =="vector" or |
---|
| 1687 | typeofd=="matrix" or typeofd == "module") { return(texobj("",d));} |
---|
| 1688 | if (typeofd=="ring" or typeofd=="qring") { return(texring("",d));} |
---|
| 1689 | if (typeofd =="ideal") { return(texobj("",d));} |
---|
| 1690 | if (typeofd=="number" or typeofd=="poly" or typeofd=="ideal") |
---|
| 1691 | { return(texpoly("",d));} |
---|
| 1692 | if (typeofd=="link") {return(d);} |
---|
| 1693 | |
---|
| 1694 | } |
---|
[ae4196] | 1695 | ///////////////////////////// PART0 ////////////////////////////////////////// |
---|
| 1696 | |
---|
[651b46] | 1697 | static proc part0(string fname) |
---|
[ae4196] | 1698 | { |
---|
| 1699 | int texdemopart =0; |
---|
| 1700 | export texdemopart; |
---|
| 1701 | |
---|
| 1702 | |
---|
| 1703 | // Singular script for generating tldemo.tex |
---|
| 1704 | |
---|
| 1705 | // int TeXwidth =-1; |
---|
| 1706 | // export TeXwidth; |
---|
| 1707 | // if(defined(NoDollars)) {kill NoDollars;} |
---|
| 1708 | //echo =2; |
---|
| 1709 | |
---|
[651b46] | 1710 | proc randompoly(int n,int cm,int em) |
---|
[ae4196] | 1711 | { |
---|
| 1712 | int i,j,k; |
---|
| 1713 | number nm,nom,denom; |
---|
| 1714 | poly f,g; |
---|
| 1715 | int nv,np=nvars(basering),npars(basering); |
---|
[6a7528] | 1716 | |
---|
[ae4196] | 1717 | for (i=1; i<=n; i++) |
---|
[6a7528] | 1718 | { |
---|
| 1719 | if (np) |
---|
| 1720 | { |
---|
[ae4196] | 1721 | nm=random(-cm,cm); |
---|
| 1722 | for (j=1;j<=np;j++) |
---|
| 1723 | { nm=nm*par(j)^random(-em/ 2,em/ 2);} |
---|
| 1724 | nom = nom + nm; |
---|
[651b46] | 1725 | |
---|
[ae4196] | 1726 | nm=random(-cm,cm); |
---|
| 1727 | for (j=1;j<=np;j++) |
---|
| 1728 | { nm=nm*par(j)^random(-em/ 2,em/ 2);} |
---|
| 1729 | denom = denom + nm; |
---|
| 1730 | if (denom!=0) {g = nom*denom^-1;} |
---|
| 1731 | else {g = 0;} |
---|
| 1732 | } |
---|
| 1733 | else |
---|
| 1734 | { g = random(-cm,cm); |
---|
| 1735 | } |
---|
| 1736 | for (j=1; j<=nv; j++) |
---|
| 1737 | { g=g*var(j)^random(0,em);} |
---|
| 1738 | f = f + g; |
---|
| 1739 | } |
---|
| 1740 | return(f); |
---|
| 1741 | } |
---|
| 1742 | |
---|
[d6cc54] | 1743 | if(system("with","Namespaces")) { exportto(Current, randompoly); } |
---|
| 1744 | else { export randompoly; } |
---|
[ae4196] | 1745 | |
---|
| 1746 | proc randomintv(int n, int m) |
---|
| 1747 | { |
---|
| 1748 | int i; |
---|
[6a7528] | 1749 | |
---|
[ae4196] | 1750 | for(i=1; i<=n; i++) |
---|
[6a7528] | 1751 | { |
---|
[ae4196] | 1752 | v[i]; |
---|
| 1753 | } |
---|
| 1754 | } |
---|
| 1755 | |
---|
| 1756 | |
---|
| 1757 | proc splt(string s) |
---|
| 1758 | { int n,i= size(s),1; |
---|
| 1759 | int p; |
---|
| 1760 | string t; |
---|
[6a7528] | 1761 | |
---|
[ae4196] | 1762 | while(n-i+1 >pagewidth) |
---|
| 1763 | { p = find(s,newline,i); |
---|
| 1764 | if (p and (p-i)<pagewidth) |
---|
| 1765 | { t = t + s[i,p]; |
---|
| 1766 | i = i + p; |
---|
| 1767 | } |
---|
| 1768 | else |
---|
| 1769 | { |
---|
| 1770 | t = t+ s[i,pagewidth] + newline; |
---|
| 1771 | i = i + pagewidth; |
---|
| 1772 | } |
---|
| 1773 | } |
---|
| 1774 | if (n) { t= t + s[i,n-i+1];} |
---|
| 1775 | return(t); |
---|
| 1776 | } |
---|
| 1777 | |
---|
[c67136] | 1778 | if(system("with","Namespaces")) { exportto(Current,splt); } |
---|
| 1779 | else { export splt; } |
---|
[917fb5] | 1780 | |
---|
[ae4196] | 1781 | // string fname = "texlibdemo.tex"; |
---|
| 1782 | string nl = newline; |
---|
| 1783 | string nl2 = newline + newline; |
---|
| 1784 | string lb = "\\\\"; |
---|
| 1785 | string bv = "\\begin{verbatim}" + newline ; |
---|
| 1786 | string ev = "\\end{verbatim}" ; |
---|
| 1787 | export nl,nl2,lb,bv,ev; //fname |
---|
| 1788 | |
---|
| 1789 | "generating part0 of " + fname + nl; |
---|
| 1790 | |
---|
| 1791 | opentex(fname); |
---|
| 1792 | |
---|
| 1793 | |
---|
| 1794 | write(fname,"\\newcommand{\\Line}{\\rule{\\textwidth}{0.25mm}\\\\[5mm]}"); |
---|
| 1795 | |
---|
| 1796 | write(fname,"\\centerline{\\large \\bf Demo file for latex.lib 1.0.0}"); |
---|
| 1797 | write(fname,"\\centerline{\\bf Christian Gorzel}"); |
---|
| 1798 | write(fname,"\\vspace{1cm}"); |
---|
| 1799 | |
---|
| 1800 | |
---|
| 1801 | //-- |
---|
| 1802 | |
---|
| 1803 | write(fname,"\\section{Introduction}"); |
---|
[651b46] | 1804 | write(fname,"The procedures in \\verb|latex.lib| translate the output of |
---|
| 1805 | Singular in \\LaTeX \\ text. |
---|
| 1806 | Most of the examples in this document are generated |
---|
[917fb5] | 1807 | randomly by Singular itself and passed through the procs from |
---|
| 1808 | \\verb|latex.lib|. Consequently, |
---|
[651b46] | 1809 | every document does not show merely how the \\verb|latex.lib| works |
---|
[ae4196] | 1810 | but looks differently in large parts."); |
---|
| 1811 | write(fname,bv + |
---|
| 1812 | " |
---|
[651b46] | 1813 | LIBRARY: latex.lib PROCEDURES FOR TYPESET OF SINGULAROBJECTS IN LATEX2E |
---|
[ae4196] | 1814 | |
---|
[651b46] | 1815 | |
---|
| 1816 | closetex(fnm); writes closing line for TeX-document |
---|
| 1817 | opentex(fnm); writes header for TeX-file fnm |
---|
| 1818 | tex(fnm); calls LaTeX2e for TeX-file fnm |
---|
| 1819 | texdemo([n]); produces a file explaining the features of this lib |
---|
| 1820 | texfactorize(fnm,f); creates string in TeX-Symbolformat for factors of poly f |
---|
| 1821 | texmap(fnm,m,r1,r2); creates string in TeX-Symbolformat for map m:r1->r2 |
---|
| 1822 | texname(fnm,s); creates string in TeX-Symbolformat for identifier |
---|
[ae4196] | 1823 | texobj(l); creates string in TeX-Symbolformat for any (basic) type |
---|
| 1824 | texpoly(f,n[,l]); creates string in TeX-Symbolformat for poly |
---|
[651b46] | 1825 | texproc(fnm,p); creates string in TeX-Symbolformat of text from proc p |
---|
| 1826 | texring(fnm,r[,l]); creates string in TeX-Symbolformat for ring/qring |
---|
| 1827 | rmx(s); removes .aux and .log files of TeXfile s |
---|
| 1828 | xdvi(s); calls xdvi for dvi-file s |
---|
[ae4196] | 1829 | (parameters in square brackets [] are optional) |
---|
[6a7528] | 1830 | |
---|
| 1831 | Global Variables: |
---|
[ae4196] | 1832 | TeXwidth, TeXnofrac, TeXbrack, TeXproj, TeXaligned, TeXreplace, NoDollars |
---|
[6a7528] | 1833 | are used to control the typesetting |
---|
[651b46] | 1834 | Call example texdemo; to become familiar with the features of latex.lib |
---|
[ae4196] | 1835 | |
---|
| 1836 | " + |
---|
| 1837 | ev); |
---|
| 1838 | |
---|
[917fb5] | 1839 | write(fname,"A flag means in the following that a variable with the indicated |
---|
[ae4196] | 1840 | name has to be defined. Usually it is from type \\verb|int|."); |
---|
| 1841 | |
---|
| 1842 | |
---|
| 1843 | write(fname, |
---|
| 1844 | bv + |
---|
| 1845 | " |
---|
| 1846 | TeXwidth : int: -1,0,1..9, >9 controls the breaking of long polynomials |
---|
| 1847 | TeXnofrac : (int) flag, write 1/2 instead of \\frac{1}{2} |
---|
| 1848 | TeXbrack : string: possible values {,(,<,|, \"\" |
---|
| 1849 | controls brackets around ideals |
---|
| 1850 | TeXproj : (int) flag, write : instead of , in intvecs |
---|
| 1851 | TeXaligned : (int) flag, write mappings (and ideals) aligned |
---|
| 1852 | TeXreplace : list, entries twoelemented list for replacing symbols |
---|
| 1853 | NoDollars : (int) flag, suppresses surrounding \\$ signs |
---|
[917fb5] | 1854 | |
---|
[ae4196] | 1855 | " + |
---|
| 1856 | ev); |
---|
| 1857 | |
---|
| 1858 | //% The procs and |
---|
| 1859 | //% the global variables |
---|
| 1860 | |
---|
| 1861 | //----------------------- opentex ----------------------------- |
---|
| 1862 | write(fname,"\\section{Opening a \\LaTeX\\ file}"); |
---|
[6a7528] | 1863 | write(fname,"All starts by defining a variable " + nl |
---|
[651b46] | 1864 | + bv + "> string fname = \"" + fname + "\";" + nl + |
---|
[ae4196] | 1865 | "> texopen(fname);" + ev + nl); |
---|
| 1866 | write(fname,"This variable \\verb|fname| has to given as first argument to |
---|
[651b46] | 1867 | all procedures in \\verb|latex.lib|"); |
---|
[6a7528] | 1868 | |
---|
[ae4196] | 1869 | //% opentex, defaulted to latex, possibly extension are ... and |
---|
[6a7528] | 1870 | //% ``own'' |
---|
[ae4196] | 1871 | |
---|
| 1872 | |
---|
| 1873 | pagewidth = 65; |
---|
[651b46] | 1874 | int TeXwidth = 100; export TeXwidth; |
---|
[ae4196] | 1875 | "part 0 generated " + nl; |
---|
| 1876 | } //part0 |
---|
| 1877 | |
---|
| 1878 | |
---|
| 1879 | ///////////////////////////// PART1 ////////////////////////////////////////// |
---|
| 1880 | |
---|
| 1881 | |
---|
[651b46] | 1882 | static proc part1(string fname) |
---|
[ae4196] | 1883 | { int st = defined(texdemopart); |
---|
| 1884 | |
---|
| 1885 | if (not(st) or texdemopart>=1) |
---|
| 1886 | { print(" Call part0 first"); |
---|
| 1887 | return(); |
---|
| 1888 | } |
---|
| 1889 | else { texdemopart=1; } |
---|
[6a7528] | 1890 | |
---|
[ae4196] | 1891 | "Continuing part1 of " + fname + nl; |
---|
| 1892 | |
---|
| 1893 | write(fname, |
---|
| 1894 | "\\section{Rings and polynomials}"+nl2); |
---|
| 1895 | |
---|
| 1896 | // -1a------ a ring in char 0, short varnames and poly. ordering ---------- |
---|
| 1897 | write(fname, |
---|
| 1898 | " A ring in characteristic 0 with short variablenames and polynomial ordering. |
---|
| 1899 | " +nl); |
---|
[d6cc54] | 1900 | ring r0=0,(x,y,z),dp; |
---|
| 1901 | if(system("with","Namespaces")) { exportto(Current, r0); } |
---|
| 1902 | else { export r0; } |
---|
[6a7528] | 1903 | poly g = -x2y +2y13z +1; export g; |
---|
[ae4196] | 1904 | poly f = randompoly(5,25,25); f; export f; |
---|
| 1905 | write(fname, |
---|
| 1906 | bv + |
---|
| 1907 | "> ring r0=0,(x,y,z),dp; texring(fname,r0); |
---|
| 1908 | > poly g = -x2y +2y13z +1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 1909 | string(g) + nl + |
---|
[ae4196] | 1910 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[6a7528] | 1911 | splt(string(f)) + nl2 + |
---|
| 1912 | ev |
---|
| 1913 | ); |
---|
[ae4196] | 1914 | texring(fname,r0); write(fname,nl2); |
---|
[6a7528] | 1915 | texpoly(fname,g); write(fname,nl2); |
---|
[ae4196] | 1916 | texpoly(fname,f); write(fname,nl2); |
---|
| 1917 | // write(fname,"\\Line"); |
---|
| 1918 | |
---|
| 1919 | // -1b------ stil in the same ring, the poly with rational coefs -------- |
---|
| 1920 | write(fname, |
---|
| 1921 | " The polynomial with rational coefficients. |
---|
| 1922 | " +nl); |
---|
| 1923 | f = f/280; |
---|
| 1924 | write(fname, |
---|
| 1925 | bv + |
---|
[917fb5] | 1926 | "> f = f/280; |
---|
[ae4196] | 1927 | > texpoly(fname,f);" +nl + |
---|
[917fb5] | 1928 | splt(string(f)) + nl2 + |
---|
[ae4196] | 1929 | ev |
---|
[6a7528] | 1930 | ); |
---|
[ae4196] | 1931 | texpoly(fname,f); write(fname,nl2); |
---|
| 1932 | write(fname,"\\Line"); |
---|
| 1933 | // -2-------- a ring in char 7, indexed varnames and series ordering ---------- |
---|
| 1934 | write(fname, |
---|
| 1935 | " A ring in characteristic 7 with indexed variablenames and local ordering. |
---|
| 1936 | " +nl); |
---|
[d6cc54] | 1937 | ring r1=7,(x1,x2,x3,x4),Ds; |
---|
| 1938 | if(system("with","Namespaces")) { exportto(Current, r1); } |
---|
| 1939 | else { export r1; } |
---|
[917fb5] | 1940 | poly g = -2*x1 +x4 -1; |
---|
[ae4196] | 1941 | poly f = randompoly(5,25,25); f; export f; |
---|
| 1942 | write(fname, |
---|
| 1943 | bv + |
---|
| 1944 | "> ring r1=7,(x1,x2,x3,x4),Ds; texring(fname,r1); |
---|
| 1945 | > poly g = -2*x1 +x4 -1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 1946 | string(g) + nl + |
---|
[ae4196] | 1947 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 1948 | splt(string(f)) + nl2 + |
---|
[ae4196] | 1949 | ev |
---|
[917fb5] | 1950 | ); |
---|
[ae4196] | 1951 | texring(fname,r1); write(fname,lb); |
---|
[917fb5] | 1952 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 1953 | texpoly(fname,f); write(fname,lb); |
---|
| 1954 | write(fname,"\\Line"); |
---|
| 1955 | |
---|
| 1956 | // -3-------- a ring in char 0, indexed varnames and mixed ordering ---------- |
---|
| 1957 | write(fname, |
---|
| 1958 | " A ring in characteristic 0 with indexed variablenames and mixed ordering. |
---|
| 1959 | " +nl); |
---|
| 1960 | ring r2=0,(x(1..5),y(1..2)),(ds(5),dp(2)); |
---|
[917fb5] | 1961 | poly g = -y(1)*x(5) +y(1)*x(2); g; |
---|
[ae4196] | 1962 | poly f = randompoly(5,25,25); f; |
---|
| 1963 | write(fname, |
---|
| 1964 | bv + |
---|
| 1965 | "> ring r2=0,(x(1..5),y(1..2)),(ds(5),dp(2)); texring(fname,r2); |
---|
| 1966 | > poly g = -y(1)*x(5) +y(1)*x(2); g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 1967 | string(g) + nl + |
---|
[ae4196] | 1968 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 1969 | splt(string(f)) + nl2 + |
---|
| 1970 | ev |
---|
| 1971 | ); |
---|
[ae4196] | 1972 | texring(fname,r2); write(fname,lb); |
---|
[917fb5] | 1973 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 1974 | texpoly(fname,f); write(fname,lb); |
---|
| 1975 | write(fname,"\\Line"); |
---|
| 1976 | |
---|
| 1977 | // -4-------- a ring in char 0, indexed varnames and weighted ordering ------ |
---|
| 1978 | write(fname, |
---|
| 1979 | " A ring in characteristic 0 with indexed variablenames and weighted ordering. |
---|
| 1980 | " +nl); |
---|
[d6cc54] | 1981 | ring r3=0,(x_1,x_2,x_3),wp(3,2,1); |
---|
| 1982 | if(system("with","Namespaces")) { exportto(Current, r3); } |
---|
| 1983 | else { export r3; } |
---|
[917fb5] | 1984 | poly g = -x_1*x_2 + 2*x_2*x_3 + x_1*x_3; g; |
---|
[ae4196] | 1985 | poly f = randompoly(5,25,25); f; export f; |
---|
| 1986 | write(fname, |
---|
| 1987 | bv + |
---|
| 1988 | "> ring r3=0,(x_1,x_2,x_3),wp(3,2,1); texring(fname,r3); |
---|
| 1989 | > poly g = -x_1*x_2 + 2*x_2*x_3 + x_1*x_3; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 1990 | string(g) + nl + |
---|
[ae4196] | 1991 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 1992 | splt(string(f)) + nl2 + |
---|
[ae4196] | 1993 | ev |
---|
[917fb5] | 1994 | ); |
---|
[ae4196] | 1995 | texring(fname,r3); write(fname,lb); |
---|
[917fb5] | 1996 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 1997 | texpoly(fname,f); write(fname,lb); |
---|
| 1998 | write(fname,"\\Line"); |
---|
| 1999 | |
---|
| 2000 | // -5-------- a ring with real coeff and matrix ordering ------------------- |
---|
| 2001 | write(fname, |
---|
| 2002 | " A ring with real coefficients and matrix ordering. |
---|
| 2003 | " +nl); |
---|
[917fb5] | 2004 | ring rr =real,(x,y),M(1,2,3,4); |
---|
| 2005 | poly g = -1.2e-10*x + y +1; |
---|
[ae4196] | 2006 | poly f = randompoly(5,25,25); f; |
---|
| 2007 | write(fname, |
---|
| 2008 | bv + |
---|
| 2009 | "> ring rr =real,(x,y),M(1,2,3,4); texring(fname,rr); |
---|
| 2010 | > poly g = -1.2e-10*x + y +1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2011 | string(g) + nl + |
---|
[ae4196] | 2012 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2013 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2014 | ev |
---|
[917fb5] | 2015 | ); |
---|
[ae4196] | 2016 | texring(fname,rr); write(fname,lb); |
---|
[917fb5] | 2017 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2018 | texpoly(fname,f); write(fname,lb); |
---|
| 2019 | write(fname,"\\Line"); |
---|
| 2020 | |
---|
| 2021 | // -6a-------- a ring in char 0, and indexed parameters --------- ---------- |
---|
| 2022 | write(fname, |
---|
| 2023 | " A ring in characteristic 0 and indexed parameters. |
---|
| 2024 | " +nl); |
---|
[917fb5] | 2025 | ring r0t=(0,s,t),(x,y),dp; |
---|
[d6cc54] | 2026 | if(system("with","Namespaces")) { exportto(Current, r0t); } |
---|
| 2027 | else { export r0t; } |
---|
[917fb5] | 2028 | poly g = 8*(-s+2t)/(st+t3)*x + t2*x -1; g; |
---|
[ae4196] | 2029 | poly f = randompoly(5,25,25); f; export f; |
---|
| 2030 | write(fname, |
---|
| 2031 | bv + |
---|
| 2032 | "> ring r0t=(0,s,t),(x,y),dp; texring(fname,r0t); |
---|
| 2033 | > poly g = 8*(-s+2t)/(st+t3)*x + t2*x -1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2034 | string(g) + nl + |
---|
[ae4196] | 2035 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2036 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2037 | ev |
---|
[917fb5] | 2038 | ); |
---|
[ae4196] | 2039 | texring(fname,r0t); write(fname,lb); |
---|
[917fb5] | 2040 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2041 | texpoly(fname,f); write(fname,lb); |
---|
| 2042 | write(fname,"\\Line"); |
---|
| 2043 | |
---|
| 2044 | |
---|
[651b46] | 2045 | // -6b------- a ring in char 11003, and indexed parameters --------- ---------- |
---|
[ae4196] | 2046 | write(fname, |
---|
| 2047 | " A ring in characteristic 11 and indexed parameters. |
---|
| 2048 | " +nl); |
---|
[917fb5] | 2049 | ring rt=(11003,t1,t2,t3),(X,Y),dp; |
---|
| 2050 | poly g = 8*(-t1+t2)/(t1+t3)*X + t2*Y -1; g; |
---|
[ae4196] | 2051 | poly f = randompoly(5,25,25); f; |
---|
| 2052 | write(fname, |
---|
| 2053 | bv + |
---|
[651b46] | 2054 | "> ring rt=(11003,t1,t2,t3),(X,Y),dp; texring(fname,rt); |
---|
[ae4196] | 2055 | > poly g = 8*(-t1+t2)/(t1+t3)*X + t2*Y -1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2056 | string(g) + nl + |
---|
[ae4196] | 2057 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2058 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2059 | ev |
---|
[917fb5] | 2060 | ); |
---|
[ae4196] | 2061 | texring(fname,rt); write(fname,lb); |
---|
[917fb5] | 2062 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2063 | texpoly(fname,f); write(fname,lb); |
---|
| 2064 | write(fname,"\\Line"); |
---|
| 2065 | |
---|
| 2066 | // -7-------- a ring over an algebraic extension in char 7 --------------- |
---|
| 2067 | write(fname, |
---|
| 2068 | " A ring over an algebraic extension in char 7. |
---|
| 2069 | " +nl); |
---|
[917fb5] | 2070 | ring ralg = (7,a),x,dp; |
---|
| 2071 | minpoly = a2-a+3; |
---|
| 2072 | poly g = -(2a13 +a)*x2 + a2*x -a +1; g; |
---|
[ae4196] | 2073 | poly f = randompoly(5,25,25); f; |
---|
| 2074 | write(fname, |
---|
| 2075 | bv + |
---|
[917fb5] | 2076 | "> ring ralg = (7,a),x,dp; |
---|
[ae4196] | 2077 | > minpoly = a2-a+3; texring(fname,ralg); |
---|
| 2078 | > poly g = -(2a13 +a)*x2 + a2*x -a +1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2079 | string(g) + nl + |
---|
[ae4196] | 2080 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2081 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2082 | ev |
---|
[917fb5] | 2083 | ); |
---|
[ae4196] | 2084 | texring(fname,ralg); write(fname,lb); |
---|
[917fb5] | 2085 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2086 | texpoly(fname,f); write(fname,lb); |
---|
| 2087 | write(fname,"\\Line"); |
---|
| 2088 | |
---|
| 2089 | // -8-------- the same ring a in 7 ralg, defined with gftables -- F_49 ------- |
---|
| 2090 | write(fname, |
---|
[917fb5] | 2091 | " A ring defined with \\verb|gftables|, the same as \\verb|ralg| before, but |
---|
[ae4196] | 2092 | with primitive element in the Galoisfield $\\F_{49}$." +nl); |
---|
[d6cc54] | 2093 | ring r49 =(49,a),x,dp; |
---|
| 2094 | if(system("with","Namespaces")) { exportto(Current, r49); } |
---|
| 2095 | else { export r49; } |
---|
[917fb5] | 2096 | poly g = -(2a13 +a)*x2 + a2*x -a +1; g; export g; |
---|
[ae4196] | 2097 | poly f = randompoly(5,25,25); f; |
---|
| 2098 | write(fname, |
---|
| 2099 | bv + |
---|
| 2100 | "> ring r49 =(49,a),x,dp; texring(fname,r49); |
---|
| 2101 | > poly g = -(2a13 +a)*x2 + a2*x -a +1; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2102 | string(g) + nl + |
---|
[ae4196] | 2103 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2104 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2105 | ev |
---|
[917fb5] | 2106 | ); |
---|
[ae4196] | 2107 | texring(fname,r49); write(fname,lb); |
---|
[917fb5] | 2108 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2109 | texpoly(fname,f); write(fname,lb); |
---|
| 2110 | write(fname,"\\Line"); |
---|
| 2111 | |
---|
| 2112 | // -9-------- a ring over the Gaussian numbers ---------- |
---|
| 2113 | write(fname, |
---|
| 2114 | " A ring over the Gaussian numbers. |
---|
| 2115 | " +nl); |
---|
| 2116 | ring ri=(0,i),(x,y,z),ls; |
---|
[917fb5] | 2117 | minpoly = i2 +1; |
---|
| 2118 | poly g = -(i+1)*x +2i2y2 +i +x; g; |
---|
[ae4196] | 2119 | poly f = randompoly(5,25,25); f; |
---|
| 2120 | write(fname, |
---|
| 2121 | bv + |
---|
| 2122 | "> ring ri=(0,i),(x,y,z),ls; |
---|
| 2123 | > minpoly = i2 +1; texring(fname,ri); |
---|
| 2124 | > poly g = -(i+1)*x +2i2y2 +i +x; g; texpoly(fname,g);" +nl + |
---|
[917fb5] | 2125 | string(g) + nl + |
---|
[ae4196] | 2126 | "> poly f = randompoly(5,25,25); f; texpoly(fname,f);" +nl + |
---|
[917fb5] | 2127 | splt(string(f)) + nl2 + |
---|
[ae4196] | 2128 | ev |
---|
[917fb5] | 2129 | ); |
---|
[ae4196] | 2130 | texring(fname,ri); write(fname,lb); |
---|
[917fb5] | 2131 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2132 | texpoly(fname,f); write(fname,lb); |
---|
| 2133 | write(fname,"\\Line"); |
---|
| 2134 | |
---|
| 2135 | // -10--------- a quotient ring performed from ---------- |
---|
| 2136 | write(fname, |
---|
[651b46] | 2137 | " A quotient ring performed from \\verb|r0| |
---|
[ae4196] | 2138 | " +nl); |
---|
| 2139 | setring r0; |
---|
[917fb5] | 2140 | ideal I = x2-y,y+z2, xy; |
---|
[ae4196] | 2141 | I = std(I); |
---|
| 2142 | string sI = string(I); |
---|
| 2143 | qring qr = I; |
---|
| 2144 | write(fname, |
---|
| 2145 | bv + |
---|
| 2146 | "> setring r0; |
---|
| 2147 | > ideal I = x2-y,y+z2, xy; |
---|
| 2148 | > I = std(I); |
---|
| 2149 | > string(I);" + nl + |
---|
| 2150 | splt(sI) + nl + |
---|
[917fb5] | 2151 | "> qring qr = I; texring(fname,qr);" + |
---|
[ae4196] | 2152 | ev |
---|
[917fb5] | 2153 | ); |
---|
[ae4196] | 2154 | texring(fname,qr); write(fname,lb); |
---|
| 2155 | |
---|
| 2156 | write(fname,"\\Line"); |
---|
| 2157 | |
---|
| 2158 | // ------------------------- Features for rings |
---|
| 2159 | |
---|
| 2160 | write(fname,"\\subsection{Features for rings}"); |
---|
| 2161 | |
---|
| 2162 | write(fname,"The printed form of the ring may be modified in a great variety"); |
---|
| 2163 | |
---|
| 2164 | // changing the brackets |
---|
| 2165 | |
---|
[917fb5] | 2166 | write(fname,"If the displayed and defaulted brackets for the ring are not |
---|
[ae4196] | 2167 | the rigth one, |
---|
| 2168 | correct brackets my be passed over to \\verb|texring|",nl, |
---|
| 2169 | "Predefined and accepted brackets are \\verb|\"\\{\"|,\\verb|\"\\{\"|, |
---|
| 2170 | \\verb|\"\\{\\{\"|,\\verb|\"[\"|,\\verb|\"[[\"|,\\verb|\"<\"|, |
---|
| 2171 | \\verb|\"<<\"|."); |
---|
| 2172 | |
---|
| 2173 | |
---|
| 2174 | write(fname, |
---|
| 2175 | bv + |
---|
[917fb5] | 2176 | "> texring(fname,rr,\"{{\");" + nl + |
---|
[ae4196] | 2177 | ev |
---|
[917fb5] | 2178 | ); |
---|
[ae4196] | 2179 | |
---|
| 2180 | texring(fname,rr,"{{"); |
---|
| 2181 | |
---|
| 2182 | write(fname, |
---|
| 2183 | bv + |
---|
[917fb5] | 2184 | "> texring(fname,r2,\"[\");" + nl + |
---|
[ae4196] | 2185 | ev |
---|
[917fb5] | 2186 | ); |
---|
[ae4196] | 2187 | |
---|
| 2188 | texring(fname,r2,"["); |
---|
| 2189 | |
---|
| 2190 | write(fname,nl2); |
---|
| 2191 | |
---|
[917fb5] | 2192 | write(fname,nl2,"The brackets around the ideal in a quotientring can be |
---|
| 2193 | changed with the global variable \\verb|TeXbrack| (see the section |
---|
[ae4196] | 2194 | {\\tt ideal}).",nl); |
---|
| 2195 | |
---|
| 2196 | |
---|
| 2197 | write(fname, |
---|
| 2198 | bv + |
---|
| 2199 | "> string TeXbrack = \"<\"; |
---|
[917fb5] | 2200 | > texring(fname,qr); |
---|
[ae4196] | 2201 | > kill TeXbrack;" + nl + |
---|
| 2202 | ev |
---|
[917fb5] | 2203 | ); |
---|
[ae4196] | 2204 | |
---|
| 2205 | string TeXbrack = "<"; export TeXbrack; |
---|
| 2206 | texring(fname,qr); |
---|
| 2207 | kill TeXbrack; |
---|
| 2208 | |
---|
| 2209 | write(fname,nl2,"\\Line"); |
---|
| 2210 | |
---|
| 2211 | // changing the coeffield |
---|
| 2212 | // ------------------------------------------------- |
---|
| 2213 | write(fname,"If the coefficientfield in charcteristic 0 should be written as |
---|
| 2214 | $\\C$ instead of $\\Q$ use this as additonal argument.",nl); |
---|
| 2215 | |
---|
| 2216 | |
---|
| 2217 | write(fname, |
---|
| 2218 | bv + |
---|
[917fb5] | 2219 | "> texring(fname,r3,\"\\\\C\");" + nl + |
---|
[ae4196] | 2220 | ev |
---|
[917fb5] | 2221 | ); |
---|
[ae4196] | 2222 | |
---|
| 2223 | texring(fname,r3,"\\C"); |
---|
| 2224 | write(fname,nl2); |
---|
| 2225 | |
---|
| 2226 | write(fname,nl2, "naechster abschnitt stimmt nicht"+lb,nl2); |
---|
| 2227 | |
---|
[917fb5] | 2228 | write(fname,"Predefined and accepted values here are |
---|
[ae4196] | 2229 | \\verb|\"\\\\C\"|, \\verb|\"\\\\R\"|, |
---|
| 2230 | \\verb|\"\\\\C\"|, \\verb|\"k\"|, \\verb|\"K\"|, \\verb|\"R\"|."); |
---|
[917fb5] | 2231 | write(fname,"The latter are useful to print a ring whose coefficientfield is |
---|
[ae4196] | 2232 | defined by an algebraic extension. Now the parameters will omitted completely. |
---|
| 2233 | "); |
---|
[917fb5] | 2234 | write(fname,"The user may specify then the field in more detail."+lb,nl2); |
---|
[ae4196] | 2235 | |
---|
| 2236 | write(fname,"Any correct letter in \\LaTeX \\ notation may be used to describe |
---|
[917fb5] | 2237 | the coefficientfield. If the letter is k, K or R it forces \\verb|texring| |
---|
[ae4196] | 2238 | not to print the parameters. This will be useful for a ring described by an |
---|
| 2239 | algebraic extension",nl2); |
---|
| 2240 | |
---|
| 2241 | write(fname, |
---|
| 2242 | bv + |
---|
[917fb5] | 2243 | "> texring(fname,ralg,\"k\");" + nl + |
---|
[ae4196] | 2244 | ev |
---|
[917fb5] | 2245 | ); |
---|
[ae4196] | 2246 | |
---|
| 2247 | texring(fname, ralg,"k"); |
---|
[917fb5] | 2248 | |
---|
[ae4196] | 2249 | // texobj(fname,"with k = "); |
---|
[651b46] | 2250 | |
---|
| 2251 | write(fname,nl2, |
---|
| 2252 | "The algebraic extension is diplayed with the optional paramater |
---|
| 2253 | \\verb|mipo|"); |
---|
| 2254 | write(fname, |
---|
| 2255 | bv + |
---|
[917fb5] | 2256 | "> texring(fname,ralg,\"mipo\");" + nl + |
---|
[651b46] | 2257 | ev |
---|
[917fb5] | 2258 | ); |
---|
[651b46] | 2259 | |
---|
| 2260 | texring(fname, ralg,"mipo"); |
---|
| 2261 | |
---|
| 2262 | |
---|
[ae4196] | 2263 | write(fname,nl,"\\Line"); |
---|
| 2264 | // displaying only certain vars |
---|
| 2265 | |
---|
| 2266 | write(fname,"By default all variables of a ring will be typed. It is possible |
---|
| 2267 | to print only certain variables filled up with $\\ldots$ between them. Define |
---|
| 2268 | therefore an \\verb|intvec| with the marked places."); |
---|
| 2269 | |
---|
| 2270 | write(fname, |
---|
| 2271 | bv + |
---|
| 2272 | "> intvec v = 5,6; |
---|
| 2273 | > texring(fname,r2,v); |
---|
[917fb5] | 2274 | > kill v;" + nl + |
---|
[ae4196] | 2275 | ev |
---|
[917fb5] | 2276 | ); |
---|
[ae4196] | 2277 | |
---|
| 2278 | intvec v = 5,6; |
---|
| 2279 | texring(fname,r2,v); |
---|
| 2280 | kill v; |
---|
| 2281 | |
---|
| 2282 | write(fname,nl2,"The first and last variable |
---|
| 2283 | will be printed always, to print only these it is sufficient to give a 1 as |
---|
| 2284 | third argument."); |
---|
| 2285 | |
---|
| 2286 | write(fname, |
---|
| 2287 | bv + |
---|
[917fb5] | 2288 | "> texring(fname,r1,1);" + nl + |
---|
[ae4196] | 2289 | ev |
---|
[917fb5] | 2290 | ); |
---|
[ae4196] | 2291 | texring(fname,r1,1); |
---|
| 2292 | |
---|
| 2293 | |
---|
| 2294 | write(fname,nl2,"\\Line",nl); |
---|
| 2295 | |
---|
| 2296 | // passing over additional information |
---|
| 2297 | |
---|
[651b46] | 2298 | write(fname,"If you want to mark a ring as the invariantring under a group, |
---|
| 2299 | additional informations starting with \\verb|^| may be added.",nl2); |
---|
[ae4196] | 2300 | |
---|
| 2301 | write(fname, |
---|
| 2302 | bv + |
---|
[917fb5] | 2303 | "> texring(fname,r0,\"^G\");" + nl + |
---|
[ae4196] | 2304 | ev |
---|
[917fb5] | 2305 | ); |
---|
[ae4196] | 2306 | |
---|
| 2307 | texring(fname, r0,"^G"); |
---|
[917fb5] | 2308 | |
---|
| 2309 | write(fname,nl2,"All these arguments may be passed over in any order as |
---|
| 2310 | optional arguments, but it may give a rather nonsense result if too much of |
---|
[651b46] | 2311 | them are used at the same time",nl); |
---|
[ae4196] | 2312 | |
---|
| 2313 | write(fname, |
---|
| 2314 | bv + |
---|
[917fb5] | 2315 | "> texring(fname,r3,\"\\\\R\",1,\"{{\",\"^G\");" + nl + |
---|
[ae4196] | 2316 | ev |
---|
[917fb5] | 2317 | ); |
---|
[ae4196] | 2318 | |
---|
| 2319 | texring(fname, r3,"\\R",1,"<<","^G"); |
---|
| 2320 | |
---|
| 2321 | write(fname,nl2); |
---|
| 2322 | |
---|
[d6cc54] | 2323 | if(system("with","Namespaces")) { exportto(Current, r0, ralg); } |
---|
| 2324 | else { export r0,ralg; } |
---|
[ae4196] | 2325 | "end part 1" + nl; |
---|
| 2326 | } |
---|
| 2327 | |
---|
| 2328 | |
---|
| 2329 | ///////////////////////////// PART2 ////////////////////////////////////////// |
---|
| 2330 | |
---|
| 2331 | |
---|
[651b46] | 2332 | static proc part2(string fname) |
---|
[ae4196] | 2333 | { int st = defined(texdemopart); |
---|
| 2334 | |
---|
| 2335 | if (not(st) or texdemopart>=2) |
---|
| 2336 | { print(" Call part1 first"); |
---|
| 2337 | return(); |
---|
| 2338 | } |
---|
| 2339 | else { texdemopart=2; } |
---|
[917fb5] | 2340 | |
---|
[ae4196] | 2341 | "Continuing Part2 of " + fname + nl; |
---|
| 2342 | |
---|
| 2343 | //-------------------- texfactorize ------------------------------ |
---|
| 2344 | write(fname,"\\subsection{Factorized polynomials}"); |
---|
| 2345 | |
---|
| 2346 | write(fname,"The command \\verb|texfactorize| calls internally the Singular |
---|
| 2347 | command \\verb|factorize| and returns the product of the irreducible factors. |
---|
[917fb5] | 2348 | at the present it is not possible to pass the optional arguments of |
---|
[ae4196] | 2349 | \\verb|factorize| through \\verb|texfactorize|."+lb); |
---|
| 2350 | |
---|
| 2351 | setring r0; |
---|
| 2352 | poly h = (x+1+y)^2*x3y*(2x -2y)*y12*x2*z2; |
---|
| 2353 | //h; |
---|
| 2354 | write(fname, |
---|
| 2355 | bv + |
---|
| 2356 | "> setring r0; |
---|
| 2357 | > poly h = (x+1+y)^2*x3y*(2x -2y)*y12*z2; |
---|
| 2358 | > h; |
---|
| 2359 | > " + splt(string(h)) + nl + |
---|
| 2360 | "> texfactorize(fname,h); |
---|
| 2361 | " + nl + |
---|
| 2362 | ev); |
---|
| 2363 | |
---|
| 2364 | texfactorize(fname,h); |
---|
| 2365 | |
---|
| 2366 | setring ralg; |
---|
| 2367 | poly h = (a24x5 + x3)*a2x6*(x+1)^2; |
---|
| 2368 | //h; |
---|
| 2369 | write(fname, |
---|
| 2370 | bv + |
---|
| 2371 | "> setring ralg; |
---|
| 2372 | > poly h = (a24x5 + x3)*a2x6*(x+1)^2; |
---|
| 2373 | > h; |
---|
| 2374 | > " + splt(string(h)) + nl + |
---|
| 2375 | "> texfactorize(fname,h); |
---|
| 2376 | " + nl + |
---|
| 2377 | ev); |
---|
| 2378 | |
---|
| 2379 | texfactorize(fname,h); |
---|
| 2380 | |
---|
| 2381 | |
---|
[651b46] | 2382 | //write(fname,nl2, If \\verb|texfactorize| is called by the name of the |
---|
| 2383 | // polynom, the result is the following" + lb,nl); |
---|
[ae4196] | 2384 | |
---|
| 2385 | |
---|
[651b46] | 2386 | // write(fname,nl2, "Noch nicht implemtiert" + lb,nl2); |
---|
[ae4196] | 2387 | |
---|
| 2388 | |
---|
| 2389 | //write(fname,"\\subsection{Hilbertpolynomials}"); |
---|
| 2390 | |
---|
| 2391 | //--------------------- features for polynomials ----------------- |
---|
| 2392 | write(fname,"\\subsection{Features for polynomials}"); |
---|
| 2393 | |
---|
| 2394 | |
---|
| 2395 | write(fname,"very long variables will be set correctly too. Furthermore, |
---|
| 2396 | but we cannot demonstrate it here, |
---|
| 2397 | the Laurentpolynomials with negative exponents will be translated."+ lb); |
---|
| 2398 | |
---|
| 2399 | |
---|
| 2400 | |
---|
| 2401 | // TeXreplace |
---|
| 2402 | // --------------------------------------------- |
---|
[917fb5] | 2403 | write(fname,"The global variable \\verb|TeXreplace| must be a list |
---|
[ae4196] | 2404 | whose entries are twoelemented lists again; wherby the first entry is the |
---|
[651b46] | 2405 | word which should be replaced and second is the replacing word." + |
---|
[917fb5] | 2406 | "This is may be applied to replace variablenames, but holds also for texname |
---|
[651b46] | 2407 | anmd texmap" + lb + |
---|
| 2408 | "It is most useful to write the greece letters correctly. Notice that it |
---|
| 2409 | is necesarry to write |
---|
[917fb5] | 2410 | a double backslash \\verb|\\\\\ | at the beginning of |
---|
[651b46] | 2411 | a \\TeX \\ symbol." + lb); |
---|
[ae4196] | 2412 | |
---|
| 2413 | |
---|
| 2414 | // Example |
---|
| 2415 | |
---|
| 2416 | write(fname,"Usually we write $\\xi$ for the primitive element:"+ lb); |
---|
| 2417 | list TeXreplace; export TeXreplace; |
---|
| 2418 | TeXreplace[1] = list("a","\\xi"); |
---|
| 2419 | setring r49; |
---|
| 2420 | |
---|
| 2421 | write(fname, |
---|
| 2422 | bv + |
---|
| 2423 | "> list TeXreplace; |
---|
| 2424 | > TeXreplace[1] = list(\"a\",\"\\\\xi\"); |
---|
| 2425 | > setring r49; |
---|
| 2426 | > texpoly(fname,g); |
---|
| 2427 | " + nl + |
---|
| 2428 | ev); |
---|
| 2429 | |
---|
| 2430 | texpoly(fname,g); |
---|
| 2431 | |
---|
| 2432 | write(fname,nl2,"Let us write $\\lambda$ and $\\mu$ for deforming parameters" |
---|
| 2433 | +lb); |
---|
| 2434 | TeXreplace[2]= list("s","\\lambda"); |
---|
| 2435 | TeXreplace[3]= list("t","\\mu"); |
---|
| 2436 | setring(r0t); |
---|
| 2437 | |
---|
| 2438 | write(fname, |
---|
| 2439 | bv + |
---|
| 2440 | "> TeXreplace[2]= list(\"s\",\"\\\\lambda\"); |
---|
| 2441 | > TeXreplace[3]= list(\"t\",\"\\\\mu\"); |
---|
| 2442 | > setring(r0t); |
---|
| 2443 | > texpoly(fname,f); |
---|
| 2444 | " + nl + |
---|
| 2445 | ev); |
---|
| 2446 | |
---|
| 2447 | texpoly(fname,f); |
---|
| 2448 | |
---|
| 2449 | |
---|
| 2450 | write(fname,nl2,"let us write $\\tilde{y}$ for $x$" + lb); |
---|
| 2451 | |
---|
| 2452 | TeXreplace[4] = list("x","\\tilde{y}"); |
---|
| 2453 | setring r1; |
---|
| 2454 | |
---|
| 2455 | |
---|
| 2456 | write(fname, |
---|
| 2457 | bv + |
---|
| 2458 | "> TeXreplace[4] = list(\"x\",\"\\\\tilde{y}\"); |
---|
| 2459 | > setring r1; |
---|
| 2460 | > texpoly(fname,f); |
---|
| 2461 | > kill TeXreplace; |
---|
| 2462 | " + nl + |
---|
| 2463 | ev); |
---|
| 2464 | |
---|
| 2465 | texobj(fname,f); |
---|
| 2466 | kill TeXreplace; |
---|
| 2467 | |
---|
[651b46] | 2468 | write(fname,"If \\verb|TeXreplace| is defined, the translation into \\TeX code |
---|
[917fb5] | 2469 | runs significantly slower, because every polynomial will be compiled in the |
---|
[ae4196] | 2470 | \\verb|non short| mode."+ lb ); |
---|
| 2471 | |
---|
| 2472 | |
---|
| 2473 | write(fname,nl,"\\Line"); |
---|
| 2474 | //linebreaking TeXwdith |
---|
| 2475 | //----------------------------------------------------------------------- |
---|
[917fb5] | 2476 | write(fname,"The global variable \\verb|TeXwidth| controls the wrapping of |
---|
[ae4196] | 2477 | polynomials; possible values are:" + lb); |
---|
| 2478 | |
---|
| 2479 | write(fname, |
---|
| 2480 | "\\[ " + nl + |
---|
| 2481 | "TeXwidth = ", |
---|
| 2482 | "\\begin{cases} ", |
---|
| 2483 | " -1 & \\text{no linebreaking} \\\\ ", |
---|
| 2484 | " 0 & \\text{print the polynom as equation} f=0 \\\\ ", |
---|
[917fb5] | 2485 | " 1,\\ldots,5 & \\text{ the first n termes followed by the sign of the next |
---|
[ae4196] | 2486 | term} \\\\ ", |
---|
| 2487 | " > 5 & \\text{wrapping after n letters corresponding x} ", |
---|
| 2488 | "\\end{cases}", |
---|
| 2489 | "\\]",nl); |
---|
| 2490 | |
---|
[917fb5] | 2491 | write(fname,"Notice that two letters like x counts as three subscripts or |
---|
[ae4196] | 2492 | exponents",nl); |
---|
| 2493 | |
---|
| 2494 | |
---|
| 2495 | write(fname,nl,"\\Line",nl); |
---|
| 2496 | //---------------------------------------------------------- |
---|
| 2497 | |
---|
[651b46] | 2498 | write(fname,"\\verb|TeXwidth| is the only global variable which will be defined |
---|
[917fb5] | 2499 | automatically from Singular. Its default value is -1 |
---|
[651b46] | 2500 | i.e. wrapping is set off."+ lb); |
---|
[ae4196] | 2501 | |
---|
| 2502 | // Examples: |
---|
| 2503 | |
---|
| 2504 | write(fname,"\\begin{itemize}",nl); |
---|
| 2505 | write(fname,"\\item",nl); |
---|
| 2506 | |
---|
[651b46] | 2507 | write(fname,"Up to now the value is " + string(TeXwidth)+"."); |
---|
[ae4196] | 2508 | |
---|
| 2509 | write(fname, |
---|
| 2510 | bv + |
---|
| 2511 | "> TeXwidth; |
---|
| 2512 | " + nl + |
---|
| 2513 | string(TeXwidth) + |
---|
| 2514 | ev); |
---|
| 2515 | |
---|
| 2516 | |
---|
| 2517 | write(fname, |
---|
| 2518 | bv + |
---|
| 2519 | "> setring r0; |
---|
| 2520 | > poly h = f^2; |
---|
| 2521 | > texpoly(fname,h); |
---|
| 2522 | " + nl + |
---|
| 2523 | ev); |
---|
| 2524 | |
---|
| 2525 | setring r0; |
---|
| 2526 | poly h = f^2; |
---|
| 2527 | texpoly(fname,h); |
---|
| 2528 | |
---|
| 2529 | write(fname,"\\item",nl); |
---|
| 2530 | |
---|
| 2531 | write(fname, |
---|
| 2532 | bv + |
---|
| 2533 | "> TeXwidth =0; |
---|
| 2534 | > texpoly(fname,g); |
---|
| 2535 | " + nl + |
---|
| 2536 | ev); |
---|
| 2537 | TeXwidth = 0; |
---|
| 2538 | texpoly(fname,g); |
---|
| 2539 | |
---|
| 2540 | write(fname,"\\item",nl); |
---|
| 2541 | |
---|
| 2542 | write(fname, |
---|
| 2543 | bv + |
---|
| 2544 | "> TeXwidth = 2; |
---|
| 2545 | > texpoly(fname,f); |
---|
| 2546 | " + nl + |
---|
| 2547 | ev); |
---|
| 2548 | TeXwidth = 2; |
---|
| 2549 | texpoly(fname,h); |
---|
| 2550 | write(fname,"\\item",nl); |
---|
| 2551 | |
---|
| 2552 | write(fname, |
---|
| 2553 | bv + |
---|
| 2554 | "> TeXwidth = 60; |
---|
| 2555 | > texobj(fname,h); |
---|
| 2556 | " + nl + |
---|
| 2557 | ev); |
---|
| 2558 | TeXwidth = 60; |
---|
| 2559 | texobj(fname,h); |
---|
| 2560 | |
---|
| 2561 | write(fname,"\\end{itemize}",nl); |
---|
| 2562 | |
---|
| 2563 | // overread for \[ and \] ??? |
---|
| 2564 | |
---|
| 2565 | // offset for texpoly |
---|
| 2566 | |
---|
| 2567 | write(fname,nl2,"\\Line",nl); |
---|
| 2568 | |
---|
[651b46] | 2569 | //write(fname,nl2, " offset for poly " + lb, nl); |
---|
[ae4196] | 2570 | |
---|
[651b46] | 2571 | //write(fname,nl2,"\\Line",nl); |
---|
[ae4196] | 2572 | |
---|
[917fb5] | 2573 | write(fname,"As seen there are two possibilities to tex a polynomial. The |
---|
[ae4196] | 2574 | command \\verb|texpoly| is the most basic one and sets the polynomials in |
---|
| 2575 | textmode. Notice that it counts the length of the terms convenientely." + lb + |
---|
| 2576 | " The command \\verb|texobj| is the most general one, if a polynomial |
---|
| 2577 | will be texed with this command, it will be written in display mode and |
---|
[651b46] | 2578 | the length of the terms will be counted appropriately ." + lb,nl2, |
---|
[ae4196] | 2579 | "Let us compare the output for \\verb|texpoly| and \\verb|texobj|."+lb); |
---|
| 2580 | |
---|
| 2581 | write(fname, |
---|
| 2582 | bv + |
---|
| 2583 | "> setring r3; |
---|
[917fb5] | 2584 | > texpoly(fname,f/180);" + nl + |
---|
[ae4196] | 2585 | ev); |
---|
| 2586 | |
---|
| 2587 | |
---|
| 2588 | setring r3; |
---|
[917fb5] | 2589 | texpoly(fname,f/180); |
---|
[ae4196] | 2590 | |
---|
| 2591 | write(fname,nl2, "Now the same again with \\verb|texobj| "+ lb,nl); |
---|
| 2592 | |
---|
| 2593 | write(fname, |
---|
| 2594 | bv + |
---|
[651b46] | 2595 | "> texobj(fname,f/180); |
---|
[ae4196] | 2596 | " + nl + |
---|
| 2597 | ev); |
---|
| 2598 | |
---|
[651b46] | 2599 | texobj(fname,f/180); |
---|
[ae4196] | 2600 | |
---|
| 2601 | |
---|
| 2602 | write(fname,"Some explaination how it works: if \\verb|texobj| is called for |
---|
| 2603 | a polynomial, then it defines a global variable \\verb|TeXdisp| which forces |
---|
[917fb5] | 2604 | \\verb|texpoly| to count fraction with space corresponding |
---|
[ae4196] | 2605 | the displaymode."+lb,nl2); |
---|
| 2606 | |
---|
| 2607 | |
---|
| 2608 | |
---|
| 2609 | //---------------------texobj for ideal --------------- |
---|
| 2610 | write(fname,"\\section{ideal}"); |
---|
| 2611 | write(fname,"Ideal will just be printed as they are"); |
---|
| 2612 | |
---|
| 2613 | |
---|
[917fb5] | 2614 | ring r; |
---|
[ae4196] | 2615 | ideal I = 3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
| 2616 | |
---|
| 2617 | |
---|
| 2618 | write(fname, |
---|
| 2619 | bv + |
---|
| 2620 | "> ring r; // the default one |
---|
| 2621 | > ideal I = 3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
| 2622 | > texobj(fname,I);" + nl + |
---|
| 2623 | ev + nl); |
---|
| 2624 | |
---|
| 2625 | texobj(fname,I); |
---|
| 2626 | |
---|
| 2627 | write(fname,"\\subsection{Features for ideals}"); |
---|
| 2628 | //---------------------------------------------------------------------- |
---|
| 2629 | write(fname," With setting of \\verb|TeXaligned| the ideal will be set in |
---|
| 2630 | line "); |
---|
| 2631 | |
---|
| 2632 | write(fname, |
---|
| 2633 | bv + |
---|
| 2634 | "> int TeXaligned; |
---|
| 2635 | > texobj(fname,I);" + nl + |
---|
| 2636 | ev); |
---|
| 2637 | |
---|
| 2638 | int TeXaligned; export TeXaligned; |
---|
| 2639 | texobj(fname,I); |
---|
| 2640 | |
---|
| 2641 | write(fname,"\\Line"); |
---|
| 2642 | //---------------------------------------------------------------------- |
---|
[651b46] | 2643 | write(fname,"If other brackets are prefered, just set them"); |
---|
[ae4196] | 2644 | |
---|
| 2645 | write(fname, |
---|
| 2646 | bv + |
---|
| 2647 | "> string TeXbrack = \"<\"; |
---|
| 2648 | > texobj(fname,I); |
---|
| 2649 | > kill TeXbrack, TeXaligned;" + nl + |
---|
| 2650 | ev); |
---|
| 2651 | |
---|
| 2652 | |
---|
| 2653 | string TeXbrack = "<"; export TeXbrack; |
---|
| 2654 | texobj(fname,I); |
---|
| 2655 | kill TeXbrack,TeXaligned; |
---|
| 2656 | write(fname,"\\Line"); |
---|
| 2657 | //---------------------------------------------------------------------- |
---|
| 2658 | write(fname, |
---|
| 2659 | " If \\verb|TeXwidth| is set 0, an ideal will be set as an equation system |
---|
| 2660 | " +nl); |
---|
| 2661 | |
---|
| 2662 | |
---|
| 2663 | // ------------- a linear equation system |
---|
| 2664 | |
---|
| 2665 | ring r5 = 0,x(1..5),dp; |
---|
| 2666 | ideal I = -x(1) + 2*x(3) + x(5),x(2) -x(4) +2*x(5) -1,8*x(1) +x(4) +2; |
---|
| 2667 | |
---|
[917fb5] | 2668 | TeXwidth = 0; |
---|
[ae4196] | 2669 | write(fname, |
---|
| 2670 | bv + |
---|
[917fb5] | 2671 | "> ring r5 = 0,x(1..5),dp ; |
---|
[ae4196] | 2672 | > ideal I = -x(1) + 2*x(3) + x(5),x(2) -x(4) +2*x(5) -1,8*x(1) +x(4) +2; |
---|
| 2673 | > string(I);" + nl + |
---|
[917fb5] | 2674 | splt(string(I)) + nl2 + |
---|
| 2675 | "> TeXwidth = 0; |
---|
[ae4196] | 2676 | > texobj(fname,I);" + |
---|
| 2677 | //> TeXwidth = 0;" + |
---|
| 2678 | ev |
---|
[917fb5] | 2679 | ); |
---|
[ae4196] | 2680 | |
---|
| 2681 | texobj(fname,I); |
---|
| 2682 | // TeXwidth = -1; |
---|
[917fb5] | 2683 | |
---|
[ae4196] | 2684 | setring r; |
---|
| 2685 | ideal J; |
---|
| 2686 | J[1] = randompoly(2,5,25); |
---|
| 2687 | J[2] = randompoly(4,15,25); |
---|
| 2688 | J[3] = randompoly(2,5,25); |
---|
| 2689 | J[4] = randompoly(3,10,25); |
---|
| 2690 | J[5] = randompoly(2,20,25); |
---|
| 2691 | |
---|
| 2692 | string(J); |
---|
| 2693 | |
---|
| 2694 | write(fname, |
---|
| 2695 | bv + |
---|
| 2696 | "> setring r; |
---|
| 2697 | > J[1] = randompoly(2,5,25); |
---|
| 2698 | > J[2] = randompoly(4,15,25); |
---|
| 2699 | > J[3] = randompoly(2,5,25); |
---|
| 2700 | > J[4] = randompoly(3,10,25); |
---|
| 2701 | > J[5] = randompoly(2,20,25); |
---|
| 2702 | > string(J); |
---|
| 2703 | " + nl + string(J) + |
---|
| 2704 | ev |
---|
| 2705 | ); |
---|
| 2706 | |
---|
| 2707 | |
---|
| 2708 | write(fname, |
---|
| 2709 | bv + |
---|
[917fb5] | 2710 | "> texobj(fname,J);" + |
---|
[ae4196] | 2711 | ev |
---|
[917fb5] | 2712 | ); |
---|
| 2713 | |
---|
[ae4196] | 2714 | texobj(fname,J); |
---|
| 2715 | //% TeXwidth = 0; TeXbrackets |
---|
| 2716 | |
---|
| 2717 | write(fname,"\\Line"); |
---|
| 2718 | //----------------------------------------------------------------------- |
---|
| 2719 | write(fname,"Call the ideal by its name and it will be printed as follows"); |
---|
| 2720 | write(fname, |
---|
| 2721 | bv + |
---|
| 2722 | "> setring r; |
---|
| 2723 | > ideal I = 3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
| 2724 | > texobj(fname,\"I\");" + nl + |
---|
| 2725 | ev); |
---|
| 2726 | |
---|
[917fb5] | 2727 | setring r; |
---|
[ae4196] | 2728 | ideal I = 3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
[d6cc54] | 2729 | if(system("with","Namespaces")) { exportto(Current, r, I); } |
---|
| 2730 | else { |
---|
| 2731 | export r; |
---|
| 2732 | export I; |
---|
| 2733 | } |
---|
[ae4196] | 2734 | listvar(r); |
---|
| 2735 | texobj(fname,"I"); |
---|
| 2736 | |
---|
| 2737 | // kill r; |
---|
| 2738 | " end part 2 " + nl; |
---|
| 2739 | } |
---|
| 2740 | |
---|
| 2741 | ///////////////////////////// PART3 ////////////////////////////////////////// |
---|
| 2742 | |
---|
| 2743 | |
---|
[651b46] | 2744 | static proc part3(string fname) |
---|
[ae4196] | 2745 | { int st = defined(texdemopart); |
---|
| 2746 | |
---|
| 2747 | if (not(st) or st>=3) |
---|
| 2748 | { print(" Call part2 first"); |
---|
| 2749 | return(); |
---|
| 2750 | } |
---|
| 2751 | else { texdemopart=3; } |
---|
| 2752 | |
---|
| 2753 | " Continuing part 3 of " + fname + |
---|
| 2754 | " : map,matrices,vectors,intvec,intmats,proc"; |
---|
| 2755 | |
---|
| 2756 | //---------------------- texmap ------------------------------ |
---|
| 2757 | write(fname,"\\section{maps}"); |
---|
| 2758 | // TeXwidth; |
---|
| 2759 | // int TeXwidth =-1; |
---|
| 2760 | write(fname,bv + |
---|
[917fb5] | 2761 | "> ring r1=0,(x,y,z),dp; |
---|
[ae4196] | 2762 | > ring r2=0,(u,v),dp; |
---|
| 2763 | > map phi = r1,u2,uv -v,v2; |
---|
| 2764 | > texmap(fname,phi,r1,r2,\"\\\\C\");" + nl + |
---|
| 2765 | ev ); |
---|
[d6cc54] | 2766 | ring r1=0,(x,y,z),dp; |
---|
| 2767 | if(system("with","Namespaces")) { exportto(Current, r1); } |
---|
| 2768 | else { export r1; } |
---|
[ae4196] | 2769 | ring r2=0,(u,v),dp; |
---|
| 2770 | map phi =r1,u2,uv -v,v2; export phi; |
---|
| 2771 | texmap(fname,phi,r1,r2,"\\C"); |
---|
| 2772 | |
---|
| 2773 | |
---|
| 2774 | write(fname,"\\subsection{Features for maps}"); |
---|
| 2775 | //-------------------------------------------------------------------- |
---|
| 2776 | |
---|
| 2777 | |
---|
| 2778 | write(fname,"\\begin{itemize}",nl); |
---|
| 2779 | |
---|
| 2780 | write(fname,"\\item",nl); |
---|
| 2781 | |
---|
[917fb5] | 2782 | write(fname,"If the map will be called by its name \\verb|texmap| can in |
---|
[ae4196] | 2783 | combination with \\verb|TeXreplace| print the name of the map." + lb ,nl); |
---|
| 2784 | |
---|
| 2785 | write(fname,bv + |
---|
| 2786 | "> list TeXreplace; |
---|
| 2787 | > TeXreplace[1] = list(\"phi\",\"\\\\phi\"); |
---|
[917fb5] | 2788 | > texmap(fname,\"phi\",r1,r2);" + nl + |
---|
[ae4196] | 2789 | ev); |
---|
| 2790 | |
---|
| 2791 | list TeXreplace; |
---|
| 2792 | TeXreplace[1] = list("phi","\\phi"); |
---|
| 2793 | export TeXreplace; |
---|
| 2794 | texmap(fname,"phi",r1,r2); |
---|
| 2795 | |
---|
| 2796 | write(fname,"\\item",nl); |
---|
| 2797 | |
---|
| 2798 | write(fname,"With \\verb|TeXaligned| the map will be printed in a line"+lb,nl); |
---|
| 2799 | |
---|
| 2800 | write(fname,bv + |
---|
| 2801 | "> int TeXaligned; |
---|
| 2802 | > texmap(fname,phi,r1,r2,\"\\\\C\");" + nl + |
---|
| 2803 | ev ); |
---|
| 2804 | |
---|
| 2805 | int TeXaligned; export TeXaligned; |
---|
| 2806 | texmap(fname,phi,r1,r2,"\\C"); |
---|
| 2807 | |
---|
| 2808 | write(fname,"\\item",nl); |
---|
| 2809 | |
---|
[917fb5] | 2810 | write(fname,nl2,"The addtional arguments for \\verb|rings| may be passed over |
---|
[ae4196] | 2811 | in \\verb|texmap|.",nl); |
---|
| 2812 | |
---|
[917fb5] | 2813 | write(fname,"In the following form the arguments are valid for both |
---|
[ae4196] | 2814 | \\verb|rings|.",nl); |
---|
| 2815 | |
---|
| 2816 | write(fname,bv + |
---|
| 2817 | "> texmap(fname,\"phi\",r1,r2,\"\\\\C\",\"{\",1); " + nl + |
---|
| 2818 | ev ); |
---|
| 2819 | |
---|
| 2820 | texmap(fname,"phi",r1,r2,"\\C","{",1); |
---|
| 2821 | |
---|
| 2822 | write(fname,"\\\\",nl2,"If they are enclosed in \\verb|list( )| the arguments |
---|
| 2823 | may specialized in ",nl); |
---|
| 2824 | |
---|
| 2825 | |
---|
| 2826 | write(fname,bv + |
---|
| 2827 | "> intvec v = 2;", |
---|
| 2828 | "> texmap(fname,\"phi\",r1,r2,list(),list(v,\"{\"));", |
---|
| 2829 | "> kill r1,r2,TeXreplace,TeXaligned;" + nl + |
---|
| 2830 | ev ); |
---|
| 2831 | |
---|
| 2832 | intvec v = 2; |
---|
| 2833 | texmap(fname,"phi",r1,r2,list(),list(v,"{")); |
---|
| 2834 | |
---|
| 2835 | "map _Ende"; |
---|
| 2836 | kill r1,r2,TeXreplace,TeXaligned; |
---|
| 2837 | |
---|
| 2838 | write(fname,"\\end{itemize}",nl); |
---|
| 2839 | |
---|
| 2840 | //% the texobj part |
---|
| 2841 | write(fname,"\\section{basic, composed data}"); |
---|
| 2842 | //======================================================================= |
---|
| 2843 | |
---|
| 2844 | write(fname, "Now we present the most general procedure \\verb|texobj| to |
---|
| 2845 | translate composed Singularobjects into \\LaTeX \\ code"+lb,nl); |
---|
| 2846 | |
---|
| 2847 | write(fname,"\\section{matrices and vectors}"); |
---|
| 2848 | //======================================================================= |
---|
| 2849 | |
---|
| 2850 | write(fname,bv + |
---|
| 2851 | "> ring r;", |
---|
| 2852 | "> poly h = 2xy3-x2z+x4z7 + y4z2;", |
---|
| 2853 | "> matrix H = jacob(jacob(h));", |
---|
| 2854 | "> texobj(fname,H);", |
---|
| 2855 | ev ); |
---|
| 2856 | |
---|
| 2857 | ring r; |
---|
| 2858 | poly h = 2xy3-x2z+x4z7 + y4z2; |
---|
| 2859 | matrix H = jacob(jacob(h)); |
---|
| 2860 | |
---|
| 2861 | texobj(fname,H); |
---|
| 2862 | |
---|
[917fb5] | 2863 | // probiere auch V = 0 bei texobj aus |
---|
[ae4196] | 2864 | matrix M = H; |
---|
| 2865 | |
---|
| 2866 | write(fname,"A \\verb|vector| will be set as one column:"+lb ,nl); |
---|
| 2867 | |
---|
| 2868 | // Das geht nicht ? |
---|
| 2869 | vector V = M[2]; |
---|
| 2870 | |
---|
| 2871 | vector W= [x,y,0,z]; |
---|
| 2872 | |
---|
| 2873 | write(fname,bv + |
---|
| 2874 | "> matrix M = H;", |
---|
| 2875 | "> vector V = M[2];", |
---|
| 2876 | "> vector W= [x,y,0,z];", |
---|
| 2877 | "> texobj(fname,V);", |
---|
| 2878 | ev ); |
---|
| 2879 | |
---|
| 2880 | texobj(fname,V); |
---|
| 2881 | |
---|
| 2882 | write(fname,bv + |
---|
| 2883 | "> texobj(fname,W);", |
---|
| 2884 | ev ); |
---|
| 2885 | |
---|
| 2886 | |
---|
| 2887 | texobj(fname,W); |
---|
| 2888 | |
---|
| 2889 | |
---|
| 2890 | write(fname,"To turn it just the cast \\verb|matrix| here"+ lb,nl); |
---|
| 2891 | write(fname,bv + |
---|
| 2892 | "> texobj(fname,matrix(V));", |
---|
| 2893 | ev ); |
---|
| 2894 | |
---|
| 2895 | |
---|
| 2896 | texobj(fname,matrix(V)); |
---|
| 2897 | |
---|
| 2898 | write(fname,"\\subsection{Features for matrices and vectors}"); |
---|
| 2899 | //------------------------------------------------------------------------ |
---|
| 2900 | |
---|
[917fb5] | 2901 | write(fname,"All the features for \\verb|poly| and the features for |
---|
[ae4196] | 2902 | \\verb|intmat| or \\verb|intvec| hold here, too."); |
---|
| 2903 | |
---|
| 2904 | write(fname,"Display only the jet of the Hessian"); |
---|
| 2905 | |
---|
| 2906 | write(fname,bv + |
---|
| 2907 | "> TeXwidth = 1;", |
---|
[917fb5] | 2908 | "> texobj(fname,H);", |
---|
[ae4196] | 2909 | "> TeXwidth = -1;", |
---|
| 2910 | ev ); |
---|
| 2911 | |
---|
| 2912 | TeXwidth = 1; |
---|
[917fb5] | 2913 | texobj(fname,H); |
---|
[ae4196] | 2914 | TeXwidth = -1; |
---|
| 2915 | |
---|
| 2916 | write(fname,nl,"\\Line"); |
---|
| 2917 | //------------------------------------------------------------------------ |
---|
| 2918 | write(fname,"Set rational numbers as you like"+lb,nl); |
---|
| 2919 | |
---|
| 2920 | write(fname,bv + |
---|
| 2921 | "> ring r0 = 0,x,dp;", |
---|
| 2922 | "> matrix M[2][3] = 1/2, 0, 1/2, 0, 1/3, 2/3;", |
---|
| 2923 | "> texobj(fname,M);", |
---|
| 2924 | ev); |
---|
| 2925 | |
---|
| 2926 | |
---|
| 2927 | ring r0 = 0,x,dp; |
---|
| 2928 | matrix M[2][3] = 1/2, 0, 1/2, 0, 1/3, 2/3; |
---|
| 2929 | texobj(fname,M); |
---|
| 2930 | |
---|
| 2931 | write(fname,bv + |
---|
[917fb5] | 2932 | "> int TeXnofrac;", |
---|
[ae4196] | 2933 | "> texobj(fname,M);", |
---|
| 2934 | "> kill TeXnofrac;", |
---|
| 2935 | ev ); |
---|
| 2936 | |
---|
| 2937 | int TeXnofrac; export TeXnofrac; |
---|
| 2938 | texobj(fname,M); |
---|
| 2939 | kill TeXnofrac; |
---|
| 2940 | |
---|
| 2941 | write(fname,nl,"\\Line"); |
---|
| 2942 | //------------------------------------------------------------------------ |
---|
| 2943 | |
---|
| 2944 | write(fname,nl,"Print a vector with homogenous coordinates "); |
---|
| 2945 | write(fname,bv + |
---|
| 2946 | "> setring r;", |
---|
| 2947 | "> int TeXproj;", |
---|
| 2948 | "> texobj(fname,V);", |
---|
| 2949 | "> kill TeXproj;", |
---|
| 2950 | ev ); |
---|
| 2951 | |
---|
| 2952 | setring r; |
---|
| 2953 | int TeXproj; export TeXproj; |
---|
| 2954 | texobj(fname,V); |
---|
| 2955 | kill TeXproj; |
---|
| 2956 | |
---|
| 2957 | write(fname,"\\section{modules}",nl2); |
---|
| 2958 | |
---|
| 2959 | write(fname,bv + |
---|
| 2960 | "> setring r;", |
---|
| 2961 | "> module md = module(H);", |
---|
| 2962 | "> texobj(fname,md);", |
---|
| 2963 | ev ); |
---|
| 2964 | |
---|
| 2965 | setring r; |
---|
| 2966 | module md = module(H); |
---|
| 2967 | texobj(fname,md); |
---|
| 2968 | |
---|
| 2969 | write(fname,"\\subsection{Features for modules}"); |
---|
| 2970 | |
---|
| 2971 | write(fname,"Set a module aligned",nl2); |
---|
| 2972 | |
---|
| 2973 | write(fname,bv + |
---|
| 2974 | "> int TeXaligned;", |
---|
| 2975 | "> texobj(fname,md);", |
---|
| 2976 | "> kill TeXaligned;", |
---|
| 2977 | ev ); |
---|
| 2978 | |
---|
| 2979 | int TeXaligned; export TeXaligned; |
---|
| 2980 | texobj(fname,md); |
---|
| 2981 | kill TeXaligned; |
---|
| 2982 | |
---|
| 2983 | // write(fname,"\\section{Bettinumbers}"); |
---|
| 2984 | |
---|
| 2985 | |
---|
| 2986 | //---------------------------------------------------------------- |
---|
| 2987 | write(fname,"\\section{intvec and intmat}"); |
---|
| 2988 | |
---|
| 2989 | write(fname,"Despite of the fact that a \\verb|intvec| is in Singular a column |
---|
| 2990 | vector, the \\verb|tex.lib| sets it as a row vector ust as Singular displays it |
---|
| 2991 | "); |
---|
| 2992 | intvec v = 1..4; |
---|
| 2993 | write(fname, |
---|
| 2994 | bv + |
---|
| 2995 | "> intvec v = 1..4; |
---|
| 2996 | > v;" + nl + |
---|
| 2997 | string(v) + nl + |
---|
[917fb5] | 2998 | "> nrows(v);" + nl + |
---|
[ae4196] | 2999 | string(nrows(v)) + nl + |
---|
| 3000 | "texobj(fname,v);" + nl2 + |
---|
| 3001 | ev ); |
---|
| 3002 | |
---|
| 3003 | texobj(fname,v); |
---|
| 3004 | |
---|
| 3005 | |
---|
| 3006 | intmat m[3][4] = -1,3,5,2,-2,8,6,0,2,5,8,7; |
---|
| 3007 | m; |
---|
| 3008 | |
---|
| 3009 | write(fname, |
---|
| 3010 | bv + |
---|
| 3011 | "> intmat m[3][4] = -1,3,5,2,-2,8,6,0,2,5,8,7;" + nl + |
---|
| 3012 | "> m;" + nl + |
---|
[917fb5] | 3013 | string(m) + nl + |
---|
[ae4196] | 3014 | "> texobj(fname,m);" + nl2 + |
---|
| 3015 | ev ); |
---|
| 3016 | |
---|
| 3017 | texobj(fname,m); |
---|
| 3018 | |
---|
| 3019 | //----------------------------------------------------------------- |
---|
| 3020 | write(fname,"\\subsection{Features for intvec and intmat}"); |
---|
| 3021 | |
---|
| 3022 | write(fname,"If the \\verb|intvec| should represent homogemous coordinates |
---|
| 3023 | set \\verb|TeXproc|."); |
---|
| 3024 | write(fname, |
---|
| 3025 | bv + |
---|
| 3026 | "> int TeXproj;" + nl + |
---|
| 3027 | "> texobj(fname,v);" + nl + |
---|
| 3028 | "> kill TeXproj;" + nl2 + |
---|
| 3029 | ev ); |
---|
| 3030 | |
---|
| 3031 | int TeXproj; export TeXproj; |
---|
| 3032 | texobj(fname,v); |
---|
| 3033 | kill TeXproj; |
---|
| 3034 | |
---|
| 3035 | write(fname,nl2); |
---|
| 3036 | |
---|
| 3037 | //----------------------------------------------- |
---|
| 3038 | write(fname,"\\Line"); |
---|
| 3039 | write(fname,"For writing an \\verb|intvec| as row vector as it is use the |
---|
| 3040 | cast \\verb|intmat|"); |
---|
| 3041 | |
---|
| 3042 | write(fname, |
---|
| 3043 | bv + |
---|
| 3044 | "> texobj(fname,intmat(v));" + nl2 + |
---|
| 3045 | ev ); |
---|
| 3046 | |
---|
| 3047 | texobj(fname,intmat(v)); |
---|
| 3048 | |
---|
| 3049 | write(fname, |
---|
| 3050 | bv + |
---|
| 3051 | "> texobj(fname,intmat(m*v),\"=\",m,\"*\",intmat(v));" + nl2 + |
---|
| 3052 | ev ); |
---|
| 3053 | |
---|
| 3054 | texobj(fname,intmat(m*v),"=",m,"*",intmat(v)); |
---|
| 3055 | |
---|
| 3056 | //----------------------------------------------------------------- |
---|
| 3057 | write(fname,"\\Line"); |
---|
| 3058 | |
---|
| 3059 | write(fname,"The brackets of a \\verb|intmat| can be set with \\verb|TeXproj| |
---|
| 3060 | as usual"); |
---|
| 3061 | |
---|
| 3062 | write(fname, |
---|
| 3063 | bv + |
---|
| 3064 | "> intmat mat[3][3] = 1,2,3,4,5,6,7,8,9;" + nl + |
---|
| 3065 | "> string TeXbrack = \"|\";" + nl + |
---|
[917fb5] | 3066 | "> texobj(fname,mat,\"=\",det(mat)); " + nl2 + |
---|
[ae4196] | 3067 | ev ); |
---|
| 3068 | |
---|
| 3069 | intmat mat[3][3] = 1,2,3,4,5,6,7,8,9; |
---|
| 3070 | string TeXbrack = "|"; export TeXbrack; |
---|
| 3071 | texobj(fname,mat,"=",det(mat)); |
---|
| 3072 | kill TeXbrack; |
---|
| 3073 | |
---|
| 3074 | //----------------------------------texname------------------- |
---|
| 3075 | |
---|
[651b46] | 3076 | //write(fname,"\\section{Names of identifiers}"); |
---|
[ae4196] | 3077 | |
---|
| 3078 | |
---|
[917fb5] | 3079 | //write(fname,"The proc \\verb|texname| is used to write indexed names in a |
---|
[651b46] | 3080 | //correct way"+lb,nl); |
---|
[ae4196] | 3081 | |
---|
| 3082 | |
---|
| 3083 | |
---|
| 3084 | // ------------------------------- texproc ------------------------------- |
---|
| 3085 | write(fname,"\\section{procs}"); |
---|
| 3086 | write(fname,"Finally, here is the procedure we used to generate the random |
---|
| 3087 | polynomials."); |
---|
[651b46] | 3088 | // write(fname,"\\newpage"); |
---|
[ae4196] | 3089 | texproc(fname,"randompoly"); |
---|
| 3090 | |
---|
| 3091 | |
---|
| 3092 | // ------------------------------ closing the tex file ------------------- |
---|
| 3093 | write(fname,"\\section{Closing the \\LaTeX\\ file}"); |
---|
| 3094 | write(fname,"The file will be closed by \\verb|closetex(fname);|. It should |
---|
| 3095 | contain now purely correct \\LaTeX code and may be compiled with " + |
---|
| 3096 | "\\verb|tex(fname)| and displayed with \\verb|xdvi(fname)|"); |
---|
| 3097 | |
---|
[651b46] | 3098 | // write(fname,"\\section{Remarks}"); |
---|
[ae4196] | 3099 | closetex(fname); |
---|
| 3100 | |
---|
| 3101 | "end of part3" + nl; |
---|
[651b46] | 3102 | |
---|
| 3103 | pagewidth =80; |
---|
[ae4196] | 3104 | } |
---|
| 3105 | |
---|
| 3106 | |
---|
| 3107 | proc cleantexdemo() |
---|
[917fb5] | 3108 | { |
---|
[ae4196] | 3109 | kill fname,nl,nl2,lb,bv,ev; |
---|
| 3110 | return(); |
---|
| 3111 | } |
---|
[8942a5] | 3112 | /////////////////////////////////////////////////////////////////////////////// |
---|