[b6b6153] | 1 | /////////////////////////////////////////////////////////////////////////////// |
---|
[1a3911] | 2 | version="$Id: latex.lib,v 1.31 2009-04-06 12:39:02 seelisch Exp $"; |
---|
[f5254ec] | 3 | category="Visualization"; |
---|
[651b46] | 4 | info=" |
---|
[5bc214c] | 5 | LIBRARY: latex.lib Typesetting of Singular-Objects in LaTeX2e |
---|
[f34c37c] | 6 | AUTHOR: Christian Gorzel, gorzelc@math.uni-muenster.de |
---|
| 7 | |
---|
| 8 | PROCEDURES: |
---|
[1a3911] | 9 | closetex(fnm) writes closing line for LaTeX-document |
---|
| 10 | opentex(fnm) writes header for LaTeX-file fnm |
---|
| 11 | tex(fnm) calls LaTeX2e for LaTeX-file fnm |
---|
| 12 | texdemo([n]) produces a file explaining the features of this lib |
---|
| 13 | texfactorize(fnm,f) creates string in LaTeX-format for factors of poly f |
---|
| 14 | texmap(fnm,m,r1,r2) creates string in LaTeX-format for map m:r1->r2 |
---|
| 15 | texname(fnm,s) creates string in LaTeX-format for identifier |
---|
| 16 | texobj(l) creates string in LaTeX-format for any (basic) type |
---|
| 17 | texpoly(f,n[,l]) creates string in LaTeX-format for poly |
---|
| 18 | texproc(fnm,p) creates string in LaTeX-format of text from proc p |
---|
| 19 | texring(fnm,r[,l]) creates string in LaTeX-format for ring/qring |
---|
| 20 | rmx(s) removes .aux and .log files of LaTeX-files |
---|
| 21 | xdvi(s) calls xdvi for dvi-files |
---|
| 22 | (parameters in square brackets [] are optional) |
---|
| 23 | (Procedures with file output assume sufficient write permissions |
---|
| 24 | when trying to append existing or create new files.) |
---|
[917fb5] | 25 | |
---|
| 26 | GLOBAL VARIABLES: |
---|
[ae4196] | 27 | TeXwidth, TeXnofrac, TeXbrack, TeXproj, TeXaligned, TeXreplace, NoDollars |
---|
[5bc214c] | 28 | are used to control the typesetting. |
---|
[111d4f] | 29 | Call @code{texdemo();} to obtain a LaTeX2e file @code{texlibdemo.tex} |
---|
| 30 | explaining the features of @code{latex.lib} and its global variables. |
---|
[5bc214c] | 31 | @format |
---|
| 32 | @code{TeXwidth} (int) -1, 0, 1..9, >9: controls breaking of long polynomials |
---|
| 33 | @code{TeXnofrac} (int) flag: write 1/2 instead of \\frac@{1@}@{2@} |
---|
[3c4dcc] | 34 | @code{TeXbrack} (string) \"@{\", \"(\", \"<\", \"|\", empty string: |
---|
[5bc214c] | 35 | controls brackets around ideals and matrices |
---|
| 36 | @code{TeXproj} (int) flag: write \":\" instead of \",\" in vectors |
---|
| 37 | @code{TeXaligned} (int) flag: write maps (and ideals) aligned |
---|
| 38 | @code{TeXreplace} (list) list entries = 2 strings: replacing symbols |
---|
| 39 | @code{NoDollars} (int) flag: suppresses surrounding $ signs |
---|
| 40 | @end format |
---|
[651b46] | 41 | "; |
---|
[ae4196] | 42 | |
---|
[5bc214c] | 43 | LIB "inout.lib"; |
---|
| 44 | |
---|
[ae4196] | 45 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 46 | |
---|
[917fb5] | 47 | proc closetex(string fname, list #) |
---|
[5bc214c] | 48 | "USAGE: closetex(fname); fname string |
---|
| 49 | RETURN: nothing; writes a LaTeX2e closing line into file @code{<fname>}. |
---|
[11dddeb] | 50 | NOTE: preceding \">>\" are deleted and suffix \".tex\" (if not given) |
---|
[5bc214c] | 51 | is added to @code{fname}. |
---|
[ae4196] | 52 | EXAMPLE: example closetex; shows an example |
---|
[651b46] | 53 | " |
---|
[ae4196] | 54 | { |
---|
[917fb5] | 55 | string default = "latex2e"; |
---|
[ae4196] | 56 | string s; |
---|
| 57 | int i = 1; |
---|
| 58 | int flag; |
---|
| 59 | |
---|
| 60 | if (size(#)) { default = #[1];} |
---|
| 61 | |
---|
[917fb5] | 62 | if (default=="latex2e" or default == "latex") |
---|
[ae4196] | 63 | { s = "\\end{document}"; flag = 1;} |
---|
| 64 | if (default=="amstex") {s = "\\enddocument"; flag = 1;} |
---|
| 65 | if (default=="tex") {s = "\\bye"; flag = 1;} |
---|
[917fb5] | 66 | if (not(flag)) { s = "";} |
---|
[ae4196] | 67 | |
---|
[917fb5] | 68 | if (size(fname)) |
---|
[ae4196] | 69 | { |
---|
| 70 | while (fname[i]==">"){i++;} |
---|
| 71 | fname = fname[i,size(fname)-i+1]; |
---|
[917fb5] | 72 | |
---|
[ae4196] | 73 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 74 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 75 | } |
---|
| 76 | else {fname = fname + ".tex";} |
---|
| 77 | write(fname, s); |
---|
[917fb5] | 78 | write(fname," - Thanks latex.lib and Singular - "); |
---|
[ae4196] | 79 | } |
---|
[917fb5] | 80 | else {return(s);} |
---|
[ae4196] | 81 | } |
---|
| 82 | example |
---|
| 83 | { "EXAMPLE:"; echo=2; |
---|
| 84 | opentex("exmpl"); |
---|
| 85 | texobj("exmpl","{\\large \\bf hello}"); |
---|
| 86 | closetex("exmpl"); |
---|
[5bc214c] | 87 | echo=0; |
---|
[ae4196] | 88 | } |
---|
| 89 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 90 | |
---|
| 91 | proc tex(string fname, list #) |
---|
[5bc214c] | 92 | "USAGE: tex(fname); fname string |
---|
| 93 | RETURN: nothing; calls latex (LaTeX2e) for compiling the file fname |
---|
[11dddeb] | 94 | NOTE: preceding \">>\" are deleted and suffix \".tex\" (if not given) |
---|
[5bc214c] | 95 | is added to @code{fname}. |
---|
[ae4196] | 96 | EXAMPLE: example tex; shows an example |
---|
[651b46] | 97 | " |
---|
[917fb5] | 98 | { |
---|
[ae4196] | 99 | string default = "latex2e"; |
---|
[917fb5] | 100 | int retval; |
---|
[ae4196] | 101 | int i=1; |
---|
| 102 | if (size(#)) {default = string(#[1]);} |
---|
| 103 | if (size(fname)) |
---|
| 104 | { |
---|
| 105 | while (fname[i]==">"){i++;} |
---|
| 106 | fname = fname[i,size(fname)-i+1]; |
---|
[917fb5] | 107 | |
---|
[5bc214c] | 108 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
[ae4196] | 109 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 110 | } |
---|
| 111 | else {fname = fname + ".tex";} |
---|
| 112 | "calling ",default, " for :",fname,newline; |
---|
[917fb5] | 113 | |
---|
[0e6c7f] | 114 | if (default=="latex2e") |
---|
| 115 | { |
---|
| 116 | retval = system("sh","latex " + fname); |
---|
| 117 | } |
---|
| 118 | else |
---|
| 119 | { |
---|
| 120 | retval = system("sh",default + " " + fname); |
---|
| 121 | } |
---|
[ae4196] | 122 | } |
---|
| 123 | else |
---|
| 124 | { " -- Need a filename "; |
---|
| 125 | return(); |
---|
| 126 | } |
---|
| 127 | } |
---|
| 128 | example |
---|
| 129 | { "EXAMPLE:"; echo =2; |
---|
| 130 | ring r; |
---|
| 131 | ideal I = maxideal(7); |
---|
[5bc214c] | 132 | opentex("exp001"); // open latex2e document |
---|
[ae4196] | 133 | texobj("exp001","An ideal ",I); |
---|
| 134 | closetex("exp001"); |
---|
[3c4dcc] | 135 | tex("exp001"); |
---|
[5bc214c] | 136 | echo=0; |
---|
[917fb5] | 137 | pause("the created files will be deleted after pressing <RETURN>"); |
---|
[5bc214c] | 138 | system("sh","rm exp001.*"); |
---|
[ae4196] | 139 | } |
---|
| 140 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 141 | |
---|
[917fb5] | 142 | proc opentex(string fname, list #) |
---|
[5bc214c] | 143 | "USAGE: opentex(fname); fname string |
---|
| 144 | RETURN: nothing; writes a LaTeX2e header into a new file @code{<fname>}. |
---|
[11dddeb] | 145 | NOTE: preceding \">>\" are deleted and suffix \".tex\" (if not given) |
---|
[5bc214c] | 146 | is added to @code{fname}. |
---|
[ae4196] | 147 | EXAMPLE: example opentex; shows an example |
---|
[651b46] | 148 | " |
---|
[917fb5] | 149 | { |
---|
[ae4196] | 150 | string default = "latex2e"; |
---|
| 151 | string s; |
---|
| 152 | int i =1; |
---|
| 153 | int flag; |
---|
| 154 | |
---|
| 155 | if (size(#)) { default = #[1];} |
---|
| 156 | |
---|
[917fb5] | 157 | if (default == "latex2e") // the default latex2e header |
---|
| 158 | { s = |
---|
[5bc214c] | 159 | "\\documentclass{article}" + newline + |
---|
[ae4196] | 160 | "\\usepackage{amsmath,amssymb}" + newline + |
---|
[5bc214c] | 161 | "\\setlength{\\textwidth}{390pt}" + newline + |
---|
[917fb5] | 162 | "\\parindent=0pt" + newline + |
---|
[5bc214c] | 163 | "\\newcommand{\\C}{\\mathbb{C}}" + newline + |
---|
| 164 | "\\newcommand{\\F}{\\mathbb{F}}" + newline + |
---|
| 165 | "\\newcommand{\\N}{\\mathbb{N}}" + newline + |
---|
[ae4196] | 166 | // "\\newcommand{\\P}{{\\Bbb P}}" + newline + |
---|
[5bc214c] | 167 | "\\newcommand{\\Q}{\\mathbb{Q}}" + newline + |
---|
| 168 | "\\newcommand{\\R}{\\mathbb{R}}" + newline + |
---|
| 169 | "\\newcommand{\\T}{\\mathbb{T}}" + newline + |
---|
| 170 | "\\newcommand{\\Z}{\\mathbb{Z}}" + newline + newline + |
---|
[ae4196] | 171 | "\\begin{document}"; |
---|
| 172 | flag = 1; |
---|
| 173 | } |
---|
| 174 | if (default == "latex") |
---|
[917fb5] | 175 | { s = |
---|
[ae4196] | 176 | "\\documentstyle[12pt,amstex]{article}" + newline + |
---|
| 177 | "\\parindent=0pt" + newline + |
---|
[917fb5] | 178 | "\\newcommand{\\C}{{\\Bbb C}}" + newline + |
---|
| 179 | "\\newcommand{\\F}{{\\Bbb F}}" + newline + |
---|
[ae4196] | 180 | "\\newcommand{\\N}{{\\Bbb N}}" + newline + |
---|
| 181 | // "\\newcommand{\\P}{{\\Bbb P}}" + newline + |
---|
[917fb5] | 182 | "\\newcommand{\\Q}{{\\Bbb Q}}" + newline + |
---|
[ae4196] | 183 | "\\newcommand{\\R}{{\\Bbb R}}" + newline + |
---|
| 184 | "\\newcommand{\\T}{{\\Bbb T}}" + newline + |
---|
| 185 | "\\newcommand{\\Z}{{\\Bbb Z}}" + newline + newline + |
---|
| 186 | "\\begin{document}"; |
---|
| 187 | flag = 1; |
---|
[917fb5] | 188 | } |
---|
| 189 | if (default == "amstex") |
---|
| 190 | { s = |
---|
[ae4196] | 191 | "\\documentstyle{amsppt} " + newline + newline + |
---|
| 192 | "\\document"; |
---|
[917fb5] | 193 | flag = 1; |
---|
[ae4196] | 194 | } |
---|
| 195 | |
---|
[917fb5] | 196 | if (default == "tex") |
---|
| 197 | { s = |
---|
| 198 | ""; |
---|
[ae4196] | 199 | flag = 1; |
---|
| 200 | } |
---|
| 201 | if (default == "own") // the proper own header |
---|
| 202 | { s = ""; |
---|
| 203 | flag = 1; |
---|
| 204 | } |
---|
| 205 | if (not(flag)) { s = "";} |
---|
| 206 | |
---|
[917fb5] | 207 | if (size(fname)) |
---|
[ae4196] | 208 | { |
---|
| 209 | while (fname[i]==">"){i++;} |
---|
| 210 | fname = fname[i,size(fname)-i+1]; |
---|
| 211 | |
---|
| 212 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 213 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 214 | } |
---|
| 215 | else {fname = fname + ".tex";} |
---|
| 216 | fname = ">" + fname; |
---|
| 217 | write(fname,s); |
---|
| 218 | } |
---|
[917fb5] | 219 | else {return(s);} |
---|
[ae4196] | 220 | } |
---|
| 221 | example |
---|
| 222 | { "EXAMPLE:"; echo=2; |
---|
| 223 | opentex("exmpl"); |
---|
| 224 | texobj("exmpl","hello"); |
---|
| 225 | closetex("exmpl"); |
---|
| 226 | } |
---|
| 227 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 228 | |
---|
[917fb5] | 229 | proc texdemo(list #) |
---|
[651b46] | 230 | "USAGE: texdemo(); |
---|
[5bc214c] | 231 | RETURN: nothing; generates a LaTeX2e file called @code{texlibdemo.tex} |
---|
| 232 | explaining the features of @code{latex.lib} and its global variables. |
---|
[a15d90] | 233 | NOTE: this procedure may take some time. |
---|
[651b46] | 234 | " |
---|
[ae4196] | 235 | { int TeXdemostart = system("pid"); |
---|
| 236 | string fname = "texlibdemo"; |
---|
| 237 | |
---|
[917fb5] | 238 | if (size(#)) |
---|
| 239 | { if (typeof(#[1])=="int") {TeXdemostart = #[1];} |
---|
[ae4196] | 240 | } |
---|
[212d09] | 241 | system("--random",TeXdemostart); |
---|
[917fb5] | 242 | |
---|
[ae4196] | 243 | if (size(#) ==2) |
---|
| 244 | { if (typeof(#[2]) == "string") { fname = #[2];} |
---|
| 245 | } |
---|
| 246 | |
---|
| 247 | if (size(fname)) |
---|
| 248 | { |
---|
| 249 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 250 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 251 | } else {fname = fname + ".tex";} |
---|
| 252 | } |
---|
| 253 | |
---|
[5bc214c] | 254 | // -------- save global variables --------- |
---|
| 255 | if (defined(TeXaligned)) {int Teali=TeXaligned; kill TeXaligned;} |
---|
| 256 | if (defined(TeXreplace)) {list Terep=TeXreplace; kill TeXreplace;} |
---|
| 257 | if (defined(TeXwidth)) {int Tewid=TeXwidth; kill TeXwidth;} |
---|
| 258 | if (defined(TeXbrack)) {string Tebra=TeXbrack; kill TeXbrack;} |
---|
| 259 | if (defined(TeXnofrac)) {int Tenof=TeXnofrac; kill TeXnofrac;} |
---|
| 260 | if (defined(TeXproj)) {int Tepro=TeXproj; kill TeXproj;} |
---|
| 261 | // ---------------------------------------- |
---|
[ae4196] | 262 | |
---|
| 263 | part0(fname); |
---|
| 264 | part1(fname); |
---|
| 265 | part2(fname); |
---|
| 266 | part3(fname); |
---|
| 267 | print(" Demofile generated ..."); |
---|
| 268 | if (size(fname)) |
---|
| 269 | { |
---|
| 270 | print(" call latex now by tex(\"" + fname + "\");" ); |
---|
| 271 | print(" .log and .aux files may be deleted with rmx(\"texlibdemo\");"); |
---|
| 272 | } |
---|
[5bc214c] | 273 | // -------- save global variables --------- |
---|
| 274 | if (defined(Teali)) {int TeXaligned=Teali; export TeXaligned; kill Teali;} |
---|
| 275 | if (defined(Terep)) {list TeXreplace=Terep; export TeXreplace; kill Terep;} |
---|
| 276 | if (defined(Tewid)) {int TeXwidth=Tewid; export TeXwidth; kill Tewid;} |
---|
| 277 | if (defined(Tebra)) {string TeXbrack=Tebra; export TeXbrack; kill Tebra;} |
---|
| 278 | if (defined(Tenof)) {int TeXnofrac=Tenof; export TeXnofrac; kill Tenof;} |
---|
| 279 | if (defined(Tepro)) {int TeXproj=Tepro; export TeXproj; kill Tepro;} |
---|
| 280 | // ---------------------------------------- |
---|
| 281 | |
---|
[ae4196] | 282 | return(); |
---|
| 283 | } |
---|
| 284 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 285 | |
---|
[917fb5] | 286 | proc texfactorize(string fname, poly f, list #) |
---|
[5bc214c] | 287 | "USAGE: texfactorize(fname,f); fname string, f poly |
---|
[3c4dcc] | 288 | RETURN: if @code{fname=\"\"}: string, f as a product of its irreducible |
---|
[5bc214c] | 289 | factors@* |
---|
[3c4dcc] | 290 | otherwise: append this string to the file @code{<fname>}, and |
---|
[5bc214c] | 291 | return nothing. |
---|
[11dddeb] | 292 | NOTE: preceding \">>\" are deleted and suffix \".tex\" (if not given) |
---|
[5bc214c] | 293 | is added to @code{fname}. |
---|
[ae4196] | 294 | EXAMPLE: example texfactorize; shows an example |
---|
[651b46] | 295 | " |
---|
[ae4196] | 296 | { |
---|
| 297 | def @r = basering; |
---|
| 298 | list l; |
---|
| 299 | int i,j,k,Tw,TW,ND;; |
---|
| 300 | intvec v; |
---|
| 301 | string s,t; |
---|
| 302 | string D = "$"; |
---|
| 303 | poly g; |
---|
| 304 | |
---|
| 305 | ND = defined(NoDollars); |
---|
| 306 | if (!(ND)) {int NoDollars; export NoDollars;} |
---|
| 307 | else { D = ""; } |
---|
| 308 | TW = defined(TeXwidth); |
---|
[917fb5] | 309 | if (TW) {Tw = TeXwidth; TeXwidth = -1;} |
---|
[ae4196] | 310 | else {int TeXwidth = -1; export TeXwidth;} |
---|
| 311 | |
---|
| 312 | if (f==0) {s= D + "0" + D;} |
---|
| 313 | else |
---|
| 314 | { |
---|
| 315 | l = factorize(f); // sollte auch fuer f== 0 direkt funktionieren |
---|
| 316 | if (l[1][1]<>1){s = texpoly("",l[1][1]);} |
---|
| 317 | for(i=2;i<=size(l[1]);i++) |
---|
| 318 | { |
---|
| 319 | if(size(s)){s = s+"\\cdot ";} |
---|
| 320 | g = l[1][i]; |
---|
| 321 | v = leadexp(g); |
---|
| 322 | k=0; |
---|
| 323 | for(j=1;j<=size(v);j++){k = k + v[j];} |
---|
| 324 | if(size(g)>1 or (size(g)==1 and k>1)) |
---|
| 325 | { t = "(" + texpoly("",l[1][i]) + ")";} |
---|
[917fb5] | 326 | else { t = texpoly("",l[1][i]);} |
---|
[ae4196] | 327 | if (l[2][i]>1) |
---|
| 328 | { t = t+"^{" +string(l[2][i]) + "}";} |
---|
| 329 | s = s + t; |
---|
| 330 | } |
---|
| 331 | if (!(ND)) { kill NoDollars;} |
---|
| 332 | s = D + s + D; |
---|
| 333 | if (TW) {TeXwidth = Tw;} |
---|
| 334 | } |
---|
[917fb5] | 335 | if(size(fname)) |
---|
[ae4196] | 336 | { i=1; |
---|
| 337 | while (fname[i]==">"){i++;} |
---|
| 338 | fname = fname[i,size(fname)-i+1]; |
---|
| 339 | |
---|
| 340 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 341 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 342 | } |
---|
| 343 | else {fname = fname + ".tex";} |
---|
| 344 | write(fname,s); |
---|
| 345 | } |
---|
| 346 | else{return(s);} |
---|
| 347 | } |
---|
| 348 | example |
---|
| 349 | { "EXAMPLE:"; echo=2; |
---|
[5bc214c] | 350 | ring r2 = 13,(x,y),dp; |
---|
| 351 | poly f = (x+1+y)^2*x3y*(2x-2y)*y12; |
---|
[ae4196] | 352 | texfactorize("",f); |
---|
| 353 | ring R49 = (7,a),x,dp; |
---|
[5bc214c] | 354 | minpoly = a2+a+3; |
---|
| 355 | poly f = (a24x5+x3)*a2x6*(x+1)^2; |
---|
[917fb5] | 356 | f; |
---|
[ae4196] | 357 | texfactorize("",f); |
---|
| 358 | } |
---|
[5bc214c] | 359 | |
---|
| 360 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 361 | static proc rp(string s) |
---|
| 362 | { int i; |
---|
| 363 | |
---|
| 364 | for(i=1;i<=size(TeXreplace);i++) |
---|
| 365 | { if (TeXreplace[i][1]==s) {s= TeXreplace[i][2]; break;}} |
---|
| 366 | return(s); |
---|
| 367 | } |
---|
[ae4196] | 368 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 369 | |
---|
[5bc214c] | 370 | |
---|
[ae4196] | 371 | proc texmap(string fname, def m, def @r1, def @r2, list #) |
---|
[5bc214c] | 372 | "USAGE: texmap(fname,m,@r1,@r2); fname string, m string/map, @r1,@r2 rings |
---|
[3c4dcc] | 373 | RETURN: if @code{fname=\"\"}: string, the map m from @r1 to @r2 (preceded |
---|
[5bc214c] | 374 | by its name if m = string) in TeX-typesetting;@* |
---|
[3c4dcc] | 375 | otherwise: append this string to the file @code{<fname>}, and |
---|
[5bc214c] | 376 | return nothing. |
---|
[3c4dcc] | 377 | NOTE: preceding \">>\" are deleted in @code{fname}, and suffix \".tex\" |
---|
[5bc214c] | 378 | (if not given) is added to @code{fname}. |
---|
| 379 | If m is a string then it has to be the name of an existing map |
---|
| 380 | from @r1 to @r2. |
---|
[ae4196] | 381 | EXAMPLE: example texmap; shows an example |
---|
[651b46] | 382 | " |
---|
[917fb5] | 383 | { |
---|
[ae4196] | 384 | int saveDollars= defined(NoDollars); |
---|
| 385 | int TX = defined(TeXwidth); |
---|
| 386 | int Tw; |
---|
| 387 | int i,n; |
---|
| 388 | string r1str,r2str, varr1str, varr2str; |
---|
| 389 | string mapname,t,s; |
---|
| 390 | string D,DD,vrg = "$","$$",","; |
---|
| 391 | def @r = basering; |
---|
| 392 | def themap; |
---|
| 393 | list l1,l2; |
---|
| 394 | string rr1,rr2 = "@r1","@r2"; |
---|
| 395 | |
---|
| 396 | // --- store all actual informations |
---|
| 397 | if(TX) { Tw = TeXwidth; TeXwidth = -1;} |
---|
| 398 | else { int TeXwidth = -1; export TeXwidth;} |
---|
| 399 | if (!(saveDollars)) { int NoDollars; export NoDollars;} |
---|
| 400 | if (defined(TeXproj)) {vrg = ":";} |
---|
| 401 | |
---|
| 402 | if (size(#)) |
---|
| 403 | { if (typeof(#[1])=="list") |
---|
| 404 | { l1 = #[1]; |
---|
| 405 | if(size(#)==2) { l2 = #[2];} |
---|
| 406 | } |
---|
| 407 | else {l1=#; l2 =#;} |
---|
| 408 | } |
---|
| 409 | // --- tex the information in preimring r1 |
---|
| 410 | |
---|
| 411 | setring(@r1); |
---|
| 412 | r1str = texring("",@r1,l1); |
---|
| 413 | // --- avoid an execute; hence construct an ideal |
---|
| 414 | |
---|
| 415 | n = nvars(@r1); |
---|
| 416 | if (n>1) { t = "\\left(";} |
---|
| 417 | ideal @I = var(1); |
---|
| 418 | t = t + texpoly("",var(1)); |
---|
| 419 | for(i=2;i<=n;i++) |
---|
| 420 | { @I = @I + var(i); |
---|
| 421 | t = t + vrg + texpoly("",var(i)); |
---|
| 422 | } |
---|
| 423 | if (n>1) { t = t + "\\right)";} |
---|
| 424 | varr1str = t; |
---|
| 425 | |
---|
| 426 | // --- now the things in ring ring r2 |
---|
| 427 | |
---|
| 428 | setring(@r2); |
---|
| 429 | // listvar(); |
---|
| 430 | |
---|
| 431 | if (typeof(m)=="string") |
---|
| 432 | { themap = `m`; |
---|
| 433 | mapname = m; |
---|
| 434 | if (defined(TeXreplace)) |
---|
| 435 | { mapname = rp(mapname); // rp ausschreiben ! |
---|
| 436 | } |
---|
| 437 | mapname = mapname + ":"; |
---|
| 438 | } |
---|
| 439 | if (typeof(m)=="map") { themap = m;} |
---|
| 440 | |
---|
| 441 | r2str = texring("",@r2,l2); |
---|
| 442 | ideal @J = themap(@I); |
---|
| 443 | n = size(matrix(@J)); |
---|
| 444 | if (n>1) { t = " \\left(";} |
---|
| 445 | if (!(defined(TeXaligned)) and (n>1)) |
---|
| 446 | { t = t + newline + "\\begin{array}{c}" + newline;} |
---|
| 447 | t = t + texpoly("",@J[1]); |
---|
| 448 | for (i=2;i<=n; i++) |
---|
[917fb5] | 449 | {if(defined(TeXaligned)) |
---|
[ae4196] | 450 | { t = t + vrg + texpoly("",@J[i]); } |
---|
| 451 | else { t = t + "\\\\" + newline + texpoly("",@J[i]);} |
---|
| 452 | } |
---|
| 453 | if (!(defined(TeXaligned)) and (n>1)) |
---|
| 454 | { t = t + newline + "\\end{array}" + newline;} |
---|
| 455 | if (n>1) {t = t + "\\right)";} |
---|
| 456 | varr2str = t; |
---|
| 457 | |
---|
| 458 | // --- go back to ring r1 to kill @I |
---|
| 459 | |
---|
| 460 | setring(@r1); |
---|
| 461 | kill @I; |
---|
| 462 | |
---|
| 463 | // --- now reset the old settings and stick all the information together |
---|
| 464 | |
---|
| 465 | setring(@r); |
---|
| 466 | if (!(saveDollars)) { kill NoDollars;} |
---|
| 467 | if (TX) {TeXwidth = Tw;} |
---|
| 468 | else { kill TeXwidth;} |
---|
| 469 | if (defined(NoDollars)) |
---|
| 470 | { D,DD = "",""; } |
---|
| 471 | |
---|
| 472 | if (defined(TeXaligned)) |
---|
| 473 | { s = D + mapname; |
---|
| 474 | s = s + r1str + "\\longrightarrow" + r2str + ", \\ " + |
---|
| 475 | varr1str + "\\longmapsto" + varr2str + D; } |
---|
| 476 | else |
---|
| 477 | { s = DD; |
---|
| 478 | s = s + newline + "\\begin{array}{rcc}" + newline; |
---|
| 479 | s = s + mapname + r1str + " & \\longrightarrow & " + r2str + "\\\\[2mm]" |
---|
| 480 | + newline; |
---|
| 481 | s = s + varr1str + " & \\longmapsto & " + newline + varr2str + newline; |
---|
| 482 | s = s + "\\end{array}" + newline; |
---|
| 483 | s = s + DD; |
---|
| 484 | } |
---|
| 485 | |
---|
| 486 | if (size(fname)) |
---|
| 487 | { i=1; |
---|
| 488 | while (fname[i]==">"){i++;} |
---|
| 489 | fname = fname[i,size(fname)-i+1]; |
---|
| 490 | |
---|
| 491 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 492 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 493 | } |
---|
| 494 | else {fname = fname + ".tex";} |
---|
| 495 | write(fname,s); |
---|
| 496 | } |
---|
| 497 | else {return(s);} |
---|
| 498 | } |
---|
[917fb5] | 499 | example |
---|
[5bc214c] | 500 | { |
---|
| 501 | echo=0; |
---|
| 502 | // -------- prepare for example --------- |
---|
| 503 | if (defined(TeXaligned)) {int Teali=TeXaligned; kill TeXaligned;} |
---|
| 504 | if (defined(TeXreplace)) {list Terep=TeXreplace; kill TeXreplace;} |
---|
| 505 | // -------- the example starts here --------- |
---|
| 506 | // |
---|
| 507 | "EXAMPLE:"; echo = 2; |
---|
[ae4196] | 508 | string fname = "tldemo"; |
---|
[5bc214c] | 509 | ring @r1=0,(x,y,z),dp; |
---|
[4698e16] | 510 | export @r1; |
---|
[ae4196] | 511 | ring r2=0,(u,v),dp; |
---|
[5bc214c] | 512 | map @phi =(@r1,u2,uv -v,v2); export @phi; |
---|
[ae4196] | 513 | list TeXreplace; |
---|
[5bc214c] | 514 | TeXreplace[1] = list("@phi","\\phi"); // @phi --> \phi |
---|
[ae4196] | 515 | export TeXreplace; |
---|
[5bc214c] | 516 | texmap("","@phi",@r1,r2); // standard form |
---|
| 517 | // |
---|
| 518 | int TeXaligned; export TeXaligned; // map in one line |
---|
| 519 | texmap("",@phi,@r1,r2); |
---|
| 520 | // |
---|
| 521 | kill @r1,TeXreplace,TeXaligned; |
---|
| 522 | echo = 0; |
---|
| 523 | // |
---|
| 524 | // --- restore global variables if previously defined --- |
---|
| 525 | if (defined(Teali)) {int TeXaligned=Teali; export TeXaligned; kill Teali;} |
---|
| 526 | if (defined(Terep)) {list TeXreplace=Terep; export TeXreplace; kill Terep;} |
---|
[917fb5] | 527 | } |
---|
[ae4196] | 528 | |
---|
[5bc214c] | 529 | |
---|
| 530 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 531 | static proc manipul(string s) |
---|
[ae4196] | 532 | { |
---|
[5bc214c] | 533 | string st; |
---|
[ae4196] | 534 | int i,anf,end,op,bigch; |
---|
| 535 | int n; |
---|
| 536 | if (s[1]=="{") { return(s[2,size(s)-2]);} |
---|
| 537 | if (s=="") { return(s);} |
---|
| 538 | s = s + newline; // add a terminating sign |
---|
| 539 | anf=1; |
---|
| 540 | while(s[i]!=newline) |
---|
| 541 | { |
---|
[5bc214c] | 542 | i =anf; |
---|
| 543 | while(s[i]<"0" or s[i]>"9" and s[i]!="'" and s[i]!= "_" and s[i]!="~" and |
---|
| 544 | s[i]!="(" and s[i]!=")" and s[i]!= "[" and s[i]!=newline) {i++;} |
---|
| 545 | if (s[i]==newline){st = st + s[anf,i-anf]; n = n+10*(i-anf); return(st);} |
---|
| 546 | st = st + s[anf,i-anf]; // the starting letters |
---|
| 547 | if (s[anf]>="A" and s[anf]<="Z") {bigch=1;} |
---|
| 548 | if (s[i]=="'") { st = st + "'";i++;} |
---|
| 549 | if (s[i]=="~") { st = "\\tilde{" + st + "}"; i++;} |
---|
| 550 | if (s[i]=="_") { i++;} |
---|
| 551 | if (s[i]=="(") { op =1;i++;} |
---|
| 552 | if (s[i]=="[") { anf = i+1; |
---|
| 553 | while(s[i]!="]"){i++;} // matrices and vectors |
---|
[917fb5] | 554 | st = st + "_{" + s[anf,i-anf] + "}"; n = n+ 5*(i-anf); i++; |
---|
[5bc214c] | 555 | // besser: while s[i]<> nwline : scan forward: end, return |
---|
[ae4196] | 556 | } |
---|
| 557 | if (s[i]==newline) {return(st);} |
---|
| 558 | anf =i; |
---|
[5bc214c] | 559 | while (s[i]>="0" and s[i]<="9") {i++;} // parse number after the letters |
---|
[ae4196] | 560 | if (bigch and not(op)) { st = st + "^{" + s[anf,i-anf] + "}"; bigch =0;} |
---|
| 561 | else { st = st + "_{" + s[anf,i-anf] + "}";} |
---|
| 562 | n = n+5*(i-anf); |
---|
| 563 | anf =i; // the next text in ( , ) as exponent |
---|
[3c4dcc] | 564 | if (op) |
---|
| 565 | { |
---|
[5bc214c] | 566 | if (s[i]== ","){anf = anf+1;} |
---|
| 567 | while(s[i] !=")"){ i++;} |
---|
| 568 | if (i<>anf) |
---|
| 569 | { |
---|
| 570 | st = st + "^{" + s[anf,i-anf] + "}"; n = n +5*(i-anf);} |
---|
| 571 | i++; |
---|
| 572 | } |
---|
| 573 | anf =i; |
---|
[ae4196] | 574 | } |
---|
[5bc214c] | 575 | return(st); |
---|
| 576 | } |
---|
| 577 | |
---|
| 578 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 579 | |
---|
| 580 | proc texname(string fname, string s) |
---|
| 581 | "USAGE: texname(fname,s); fname,s strings |
---|
[1a3911] | 582 | RETURN: if @code{fname=\"\"}: the transformed string s, for which the |
---|
[3c4dcc] | 583 | following rules apply: |
---|
| 584 | @example |
---|
[5bc214c] | 585 | s' + \"~\" --> \"\\tilde@{\"+ s' +\"@}\" |
---|
[3c4dcc] | 586 | \"_\" + int --> \"_@{\" + int +\"@}\" |
---|
[5bc214c] | 587 | \"[\" + s' + \"]\" --> \"_@{\" + s' + \"@}\" |
---|
[3c4dcc] | 588 | \"A..Z\" + int --> \"A..Z\" + \"^@{\" + int + \"@}\" |
---|
[5bc214c] | 589 | \"a..z\" + int --> \"a..z\" + \"_@{\" + int + \"@}\" |
---|
| 590 | \"(\" + int + \",\" + s' + \")\" --> \"_@{\"+ int +\"@}\" + \"^@{\" + s'+\"@}\" |
---|
| 591 | @end example |
---|
[1a3911] | 592 | Furthermore, strings which begin with a @code{\"@{\"} are modified |
---|
| 593 | by deleting the first and the last character (which is then assumed to |
---|
| 594 | be a @code{\"@}\"}). |
---|
[5bc214c] | 595 | |
---|
[3c4dcc] | 596 | if @code{fname!=\"\"}: append the transformed string s to the file |
---|
[5bc214c] | 597 | @code{<fname>}, and return nothing. |
---|
[3c4dcc] | 598 | NOTE: preceding \">>\" are deleted in @code{fname}, and suffix \".tex\" |
---|
[5bc214c] | 599 | (if not given) is added to @code{fname}. |
---|
| 600 | EXAMPLE: example texname; shows an example |
---|
| 601 | " |
---|
| 602 | { |
---|
| 603 | string st, extr; |
---|
| 604 | st=manipul(s); |
---|
[ae4196] | 605 | if (size(fname)) |
---|
[3c4dcc] | 606 | { |
---|
[5bc214c] | 607 | int i=1; |
---|
[ae4196] | 608 | while (fname[i]==">"){i++;} |
---|
| 609 | fname = fname[i,size(fname)-i+1]; |
---|
| 610 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
[3c4dcc] | 611 | { |
---|
[5bc214c] | 612 | if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
[ae4196] | 613 | } |
---|
| 614 | else {fname = fname + ".tex";} |
---|
| 615 | write(fname,st); |
---|
| 616 | } |
---|
| 617 | else {return(st);} |
---|
| 618 | } |
---|
| 619 | example |
---|
| 620 | { "EXAMPLE:"; echo =2; |
---|
| 621 | ring r = 0,(x,y),lp; |
---|
| 622 | poly f = 3xy4 + 2xy2 + x5y3 + x + y6; |
---|
| 623 | texname("","{f(10)}"); |
---|
| 624 | texname("","f(10) ="); |
---|
| 625 | texname("","n1"); |
---|
| 626 | texname("","T1_12"); |
---|
| 627 | texname("","g'_11"); |
---|
| 628 | texname("","f23"); |
---|
| 629 | texname("","M[2,3]"); |
---|
| 630 | texname("","A(0,3);"); |
---|
| 631 | texname("","E~(3)"); |
---|
| 632 | } |
---|
[5bc214c] | 633 | |
---|
| 634 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 635 | |
---|
| 636 | static proc absterm(poly f) |
---|
[3c4dcc] | 637 | { |
---|
[5bc214c] | 638 | int k; |
---|
| 639 | for (k=1; k<=nvars(basering); k++) |
---|
| 640 | { f = subst(f,var(k),0); } |
---|
| 641 | return(f); |
---|
| 642 | } |
---|
[ae4196] | 643 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 644 | |
---|
| 645 | proc texobj(string fname, list #) |
---|
[5bc214c] | 646 | "USAGE: texobj(fname,l); fname string, l list |
---|
[b6b6153] | 647 | RETURN: if @code{fname=\"\"}: string, the entries of l in LaTeX-typesetting;@* |
---|
[3c4dcc] | 648 | otherwise: append this string to the file @code{<fname>}, and |
---|
[5bc214c] | 649 | return nothing. |
---|
[3c4dcc] | 650 | NOTE: preceding \">>\" are deleted in @code{fname}, and suffix \".tex\" |
---|
[5bc214c] | 651 | (if not given) is added to @code{fname}. |
---|
[ae4196] | 652 | EXAMPLE: example texobj; shows an example |
---|
[651b46] | 653 | " |
---|
[ae4196] | 654 | { |
---|
| 655 | int i,j,k,nr,nc,linear,Tw,Dollars; |
---|
| 656 | int ND = defined(NoDollars); |
---|
| 657 | int TW = defined(TeXwidth); |
---|
| 658 | |
---|
| 659 | if(defined(basering)){ poly g,h; matrix M;} |
---|
| 660 | string s,t,l,ineq,sg,Iname; |
---|
| 661 | string sep= ","; |
---|
[5bc214c] | 662 | string D,DA,DE = "$","$$","$$"; |
---|
[917fb5] | 663 | string OB,CB = "(",")"; |
---|
[ae4196] | 664 | if (defined(TeXbrack)) |
---|
| 665 | {// if (TeXbrack=="(") {OB = "("; CB = ")";} |
---|
| 666 | if (TeXbrack=="<") {OB = "<"; CB = ">";} |
---|
| 667 | if (TeXbrack=="{") {OB = "{"; CB = "}";} |
---|
| 668 | if (TeXbrack=="|") {OB = "|"; CB = "|";} |
---|
| 669 | if (TeXbrack=="" ) {OB = "."; CB = ".";} |
---|
| 670 | } |
---|
| 671 | |
---|
| 672 | if (!(TW)) { int TeXwidth = -1; export TeXwidth; } |
---|
| 673 | Tw = TeXwidth; |
---|
| 674 | |
---|
| 675 | if (defined(TeXproj)){ sep = ":";} |
---|
| 676 | if(ND) { D,DA,DE="","","";} |
---|
| 677 | else {int NoDollars; export NoDollars;} |
---|
| 678 | |
---|
| 679 | if (size(#)==1) |
---|
[917fb5] | 680 | { if (typeof(#[1])=="int" or typeof(#[1])=="intvec" or typeof(#[1])=="vector" |
---|
[7f3ad4] | 681 | or typeof(#[1])=="number" or typeof(#[1])=="bigint" or defined(TeXaligned)) |
---|
| 682 | { DA = D; DE = D; } |
---|
[2301b7] | 683 | } |
---|
[ae4196] | 684 | |
---|
| 685 | s = DA; |
---|
| 686 | |
---|
| 687 | for (k=1; k<=size(#); k++) |
---|
| 688 | { def obj = #[k]; |
---|
[917fb5] | 689 | if (typeof(obj) == "string") |
---|
[ae4196] | 690 | { if (defined(`obj`)) |
---|
[917fb5] | 691 | { if (typeof(`obj`)=="ideal") |
---|
[3c4dcc] | 692 | { |
---|
[b6b6153] | 693 | Iname = obj; def e = `obj`; //convert to correct type ideal |
---|
[5bc214c] | 694 | kill obj; def obj = e; kill e; |
---|
| 695 | } |
---|
[b6b6153] | 696 | else {s = s + obj + newline;} |
---|
[5bc214c] | 697 | } |
---|
[b6b6153] | 698 | else {s = s + obj + newline;} |
---|
[ae4196] | 699 | } |
---|
[7f3ad4] | 700 | if (typeof(obj) == "int" or typeof(#[1])=="bigint") |
---|
[2301b7] | 701 | { s = s + " " + string(obj) + " ";} |
---|
[917fb5] | 702 | |
---|
| 703 | if (typeof(obj) == "intvec") |
---|
[5bc214c] | 704 | { s = s + " ("; |
---|
[ae4196] | 705 | for(j=1; j<size(obj);j++) { s = s + string(obj[j]) + sep;} |
---|
[5bc214c] | 706 | s = s + string(obj[j]) + ") "; |
---|
[ae4196] | 707 | } |
---|
| 708 | |
---|
[917fb5] | 709 | if (typeof(obj) == "number" ) |
---|
[ae4196] | 710 | { s = s + texpoly("",obj) + newline; |
---|
| 711 | } |
---|
| 712 | |
---|
| 713 | if (typeof(obj) == "poly") |
---|
| 714 | { int TeXdisplay; export TeXdisplay; |
---|
[5bc214c] | 715 | s = s + "\\begin{array}{rl}" + newline; |
---|
[ae4196] | 716 | s = s + texpoly("",obj) + "\\\\" + newline; |
---|
[5bc214c] | 717 | s = s + "\\end{array}" + newline; |
---|
[ae4196] | 718 | kill TeXdisplay; |
---|
| 719 | } |
---|
| 720 | |
---|
[917fb5] | 721 | if (typeof(obj) == "vector") |
---|
[ae4196] | 722 | { if (obj==0) { s = s + "0" ;} |
---|
| 723 | else |
---|
| 724 | { if (Tw==0) { TeXwidth = -1;} |
---|
| 725 | s = s + "\\left" + OB; |
---|
| 726 | for(j=1; j<nrows(obj); j++) {s = s + texpoly("",obj[j]) + sep;} |
---|
| 727 | s = s + texpoly("",obj[j]) + "\\right" + CB + newline; |
---|
| 728 | TeXwidth = Tw; |
---|
| 729 | } |
---|
| 730 | } |
---|
| 731 | |
---|
[917fb5] | 732 | if (typeof(obj) == "ideal") |
---|
[ae4196] | 733 | { if (size(Iname)) // verwende hier align |
---|
| 734 | { if (Tw==0) {TeXwidth = -1;} |
---|
| 735 | |
---|
| 736 | // Lasse hier TeXwidth == 0 zu ! |
---|
| 737 | // if (!(defined(TeXaligned))) |
---|
| 738 | // { untereinander } |
---|
| 739 | // else { hintereinander } |
---|
[917fb5] | 740 | // |
---|
| 741 | // |
---|
| 742 | // s = s + Iname + "=" + texpoly("",obj,","); |
---|
[ae4196] | 743 | // siehe ebenso noch einmal am Ende : ! (TeXwidth <> 0 !? ) |
---|
| 744 | |
---|
| 745 | s = s + "\\begin{array}{rcl}" + newline; |
---|
| 746 | for (i=1;i<=size(matrix(obj));i++) |
---|
[917fb5] | 747 | { s = s + Iname+ "_{" + string(i) + "} & = & " |
---|
[ae4196] | 748 | + texpoly("",obj[i]); |
---|
| 749 | if (i<size(matrix(obj))){ s = s + "\\\\" + newline;} |
---|
| 750 | } |
---|
| 751 | s = s + newline; |
---|
| 752 | s = s + "\\end{array}" + newline; |
---|
| 753 | TeXwidth = Tw; |
---|
| 754 | Iname =""; |
---|
| 755 | } |
---|
[917fb5] | 756 | else |
---|
| 757 | { |
---|
| 758 | if (TeXwidth==0) |
---|
[ae4196] | 759 | { TeXwidth = -1; |
---|
| 760 | obj= simplify(obj,2); |
---|
| 761 | linear = 1; |
---|
| 762 | for (j=1;j<=size(obj);j++) |
---|
| 763 | { if (deg(obj[j])>1){linear =0; break;} |
---|
| 764 | } |
---|
| 765 | if (!(linear)) |
---|
| 766 | { s = s + "\\begin{array}{rcl}" + newline; |
---|
| 767 | for(j=1;j<=size(obj);j++) |
---|
| 768 | { h = absterm(obj[j]); |
---|
| 769 | ineq = attrib(obj[j],"ineq"); |
---|
| 770 | if(!(size(ineq))) { ineq = "=" ; } |
---|
| 771 | l = texpoly("",obj[j]-h) + " & " + ineq + " & " + texpoly("",-h); |
---|
| 772 | if(j<size(obj)) { l = l + " \\\\";} |
---|
| 773 | s =s+ l + newline; |
---|
| 774 | } |
---|
| 775 | s = s + "\\end{array}" + newline; |
---|
| 776 | } |
---|
| 777 | else // linear |
---|
[917fb5] | 778 | { s = s + |
---|
[ae4196] | 779 | "\\begin{array}{*{" + string(2*nvars(basering)-1) + "}{c}cr}" + newline; |
---|
[917fb5] | 780 | for(j=1; j<=size(obj);j++) |
---|
| 781 | { h = absterm(obj[j]); |
---|
[ae4196] | 782 | ineq = attrib(obj[j],"ineq"); |
---|
| 783 | if(!(size(ineq))) { ineq = "=" ; } |
---|
| 784 | l = ""; nc = 0; |
---|
| 785 | for (i=1; i<=nvars(basering);i++) |
---|
| 786 | { t = " "; sg =""; |
---|
| 787 | g = obj[j]-subst(obj[j],var(i),0); |
---|
| 788 | if (g!=0) { t = texpoly("",g);} |
---|
| 789 | if (i>1) |
---|
| 790 | { if (t[1]!="-" and t[1]!= " " and nc ){sg = "+";} |
---|
| 791 | if (t[1]=="-") { sg = "-"; nc =1; t=t[2,size(t)-1];} |
---|
[917fb5] | 792 | if (t==" ") {sg ="";} |
---|
[ae4196] | 793 | l = l + " & " + sg + " & " + t; |
---|
| 794 | } |
---|
| 795 | else { l = t;} |
---|
| 796 | if (g!=0) {nc = 1;} |
---|
| 797 | } |
---|
| 798 | |
---|
| 799 | l = l + " & " + ineq + " & " + texpoly("",-h); |
---|
| 800 | if (j < size(obj)) { l = l + " \\\\";} |
---|
| 801 | s = s + l + newline; |
---|
| 802 | } // end for (j) |
---|
| 803 | s = s + "\\end{array}"; |
---|
| 804 | } // end else linear |
---|
| 805 | TeXwidth = 0; |
---|
| 806 | } // end TeXwidth == 0 |
---|
| 807 | else // TeXwidth <> 0 |
---|
| 808 | { s = s + "\\left"+ OB; |
---|
| 809 | if (defined(TeXaligned)) |
---|
| 810 | { s = s + texpoly("",obj,","); |
---|
[917fb5] | 811 | } |
---|
[ae4196] | 812 | else |
---|
| 813 | { s = s + newline + "\\begin{array}{c}" + newline + |
---|
[917fb5] | 814 | texpoly("",obj,", \\\\" + newline) + |
---|
[ae4196] | 815 | newline + "\\end{array}" + newline; |
---|
| 816 | } |
---|
| 817 | s = s + "\\right" + CB; |
---|
[917fb5] | 818 | } // end TeXwidth <> 0 |
---|
[ae4196] | 819 | } // not Iname |
---|
| 820 | // s; |
---|
| 821 | } |
---|
| 822 | |
---|
[917fb5] | 823 | if (typeof(obj) == "module") |
---|
[ae4196] | 824 | { M = matrix(obj); |
---|
| 825 | if (Tw ==0 or Tw > 9) { TeXwidth = -1;} |
---|
| 826 | s = s + "\\left" + OB + newline; |
---|
| 827 | if (!(defined(TeXaligned))) |
---|
| 828 | { // Naechste Zeile nicht notwendig ! |
---|
[917fb5] | 829 | // s = s + "\\begin{array}{*{"+ string(ncols(M)) + "}{c}}" + newline; |
---|
| 830 | for(j=1;j<=ncols(M);j++) |
---|
[ae4196] | 831 | { l = "\\left" + OB + newline + "\\begin{array}{c}" + newline; |
---|
| 832 | l = l + texpoly("",ideal(M[1..nrows(M),j]), " \\\\" + newline) |
---|
| 833 | + newline + "\\end{array}" +newline + "\\right" + CB + newline; |
---|
| 834 | if (j< ncols(M)) { l = l + " , " + newline;} |
---|
| 835 | s = s + l ; |
---|
| 836 | } |
---|
| 837 | } |
---|
| 838 | else // TeXaligned |
---|
[917fb5] | 839 | { |
---|
| 840 | for(j=1;j<=ncols(M);j++) |
---|
[ae4196] | 841 | { s = s + "\\left" + OB + newline + |
---|
| 842 | texpoly("",ideal(M[1..nrows(M),j]),",") + newline + "\\right" + CB; |
---|
| 843 | if (j<ncols(M)) { s = s + "," + newline; } |
---|
| 844 | } |
---|
| 845 | } |
---|
| 846 | s = s + "\\right" + CB + newline; |
---|
| 847 | } // module part |
---|
| 848 | |
---|
| 849 | if (typeof(obj) == "matrix") |
---|
| 850 | { if (Tw==0 or Tw > 9) {TeXwidth = -1;} |
---|
| 851 | l = ""; |
---|
| 852 | // M = transpose(obj); |
---|
[917fb5] | 853 | s = s + "\\left" + OB + newline + |
---|
[ae4196] | 854 | "\\begin{array}{*{"+ string(ncols(obj)) + "}{c}" + "}"+ newline; |
---|
| 855 | for(i=1;i<=nrows(obj);i++) |
---|
| 856 | { l = l + texpoly("",ideal(obj[i,1..ncols(obj)])," & "); |
---|
| 857 | if (i<nrows(obj)) { l = l + " \\\\" + newline;} |
---|
| 858 | } |
---|
| 859 | l = l + newline; |
---|
[917fb5] | 860 | s = s + l + "\\end{array}" + newline + |
---|
[ae4196] | 861 | "\\right" + CB + newline; |
---|
| 862 | TeXwidth = Tw; |
---|
| 863 | } |
---|
[917fb5] | 864 | |
---|
[ae4196] | 865 | if (typeof(obj) == "intmat") |
---|
| 866 | { nr,nc = nrows(obj),ncols(obj); |
---|
| 867 | l = ""; |
---|
[917fb5] | 868 | l = "\\left" + OB + newline + |
---|
[ae4196] | 869 | "\\begin{array}{*{"+ string(nc) + "}{r}}"+ newline; |
---|
| 870 | for(i=1;i<=nr;i++) |
---|
[917fb5] | 871 | { for(j=1;j<=nc;j++) |
---|
[ae4196] | 872 | { l = l + string(obj[i,j]); |
---|
| 873 | if (j <nc ) { l = l + " & ";} |
---|
| 874 | else {if( i < nr) { l = l + "\\\\" + newline;}} |
---|
| 875 | } |
---|
| 876 | } |
---|
[917fb5] | 877 | l = l + newline + "\\end{array}" + newline + |
---|
[ae4196] | 878 | "\\right" + CB + newline; |
---|
[917fb5] | 879 | s = s + l; |
---|
[ae4196] | 880 | } |
---|
| 881 | |
---|
| 882 | if (typeof(obj) == "ring" or |
---|
| 883 | typeof(obj) == "qring") { s = s + D + texring("",obj) + D + newline;} |
---|
| 884 | |
---|
| 885 | kill obj; |
---|
| 886 | } |
---|
| 887 | |
---|
| 888 | s = s + DE + newline; |
---|
| 889 | |
---|
| 890 | if(!(ND)) { kill NoDollars;} |
---|
| 891 | |
---|
| 892 | // s; |
---|
| 893 | if(size(fname)) |
---|
| 894 | { i=1; |
---|
| 895 | while (fname[i]==">"){i++;} |
---|
| 896 | fname = fname[i,size(fname)-i+1]; |
---|
| 897 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 898 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 899 | } |
---|
| 900 | else {fname = fname + ".tex";} |
---|
| 901 | write(fname,s); |
---|
| 902 | } |
---|
| 903 | else {return(s);} |
---|
| 904 | } |
---|
| 905 | example |
---|
[3c4dcc] | 906 | { |
---|
[5bc214c] | 907 | echo=0; |
---|
| 908 | // -------- prepare for example --------- |
---|
| 909 | if (defined(TeXaligned)) {int Teali=TeXaligned; kill TeXaligned;} |
---|
| 910 | if (defined(TeXbrack)){string Tebra=TeXbrack; kill TeXbrack;} |
---|
| 911 | "EXAMPLE:"; echo = 2; |
---|
| 912 | // |
---|
| 913 | // -------------- typesetting for polynomials ---------- |
---|
[ae4196] | 914 | ring r = 0,(x,y),lp; |
---|
[5bc214c] | 915 | poly f = x5y3 + 3xy4 + 2xy2 + y6; |
---|
| 916 | f; |
---|
| 917 | texobj("",f); |
---|
| 918 | pause(); |
---|
| 919 | // -------------- typesetting for ideals ---------- |
---|
[ae4196] | 920 | ideal G = jacob(f); |
---|
[5bc214c] | 921 | G; |
---|
| 922 | texobj("",G); |
---|
| 923 | pause(); |
---|
| 924 | // -------------- variation of typesetting for ideals ---------- |
---|
| 925 | int TeXaligned = 1; export TeXaligned; |
---|
| 926 | string TeXbrack = "<"; export TeXbrack; |
---|
[ae4196] | 927 | texobj("",G); |
---|
[5bc214c] | 928 | pause(); |
---|
| 929 | kill TeXaligned, TeXbrack; |
---|
| 930 | // -------------- typesetting for matrices ---------- |
---|
[ae4196] | 931 | matrix J = jacob(G); |
---|
| 932 | texobj("",J); |
---|
[5bc214c] | 933 | pause(); |
---|
| 934 | // -------------- typesetting for intmats ---------- |
---|
| 935 | intmat m[3][4] = 9,2,4,5,2,5,-2,4,-6,10,-1,2,7; |
---|
[ae4196] | 936 | texobj("",m); |
---|
[5bc214c] | 937 | echo=0; |
---|
| 938 | // |
---|
| 939 | // --- restore global variables if previously defined --- |
---|
| 940 | if (defined(Teali)){int TeXaligned=Teali; export TeXaligned; kill Teali;} |
---|
| 941 | if (defined(Tebra)){string TeXbrack=Tebra; export TeXbrack; kill Tebra;} |
---|
[ae4196] | 942 | } |
---|
| 943 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 944 | |
---|
[917fb5] | 945 | proc texproc(string fname,string pname) |
---|
[5bc214c] | 946 | "USAGE: texproc(fname,pname); fname,pname strings |
---|
| 947 | ASSUME: @code{`pname`} is a procedure. |
---|
[3c4dcc] | 948 | RETURN: if @code{fname=\"\"}: string, the proc @code{`pname`} in a verbatim |
---|
[5bc214c] | 949 | environment in LaTeX-typesetting;@* |
---|
[3c4dcc] | 950 | otherwise: append this string to the file @code{<fname>}, and |
---|
[5bc214c] | 951 | return nothing. |
---|
[3c4dcc] | 952 | NOTE: preceding \">>\" are deleted in @code{fname}, and suffix \".tex\" |
---|
[5bc214c] | 953 | (if not given) is added to @code{fname}.@* |
---|
| 954 | @code{texproc} cannot be applied to itself correctly. |
---|
[ae4196] | 955 | EXAMPLE: example texproc; shows an example |
---|
[651b46] | 956 | " |
---|
[ae4196] | 957 | { |
---|
| 958 | int i,j=1,1; |
---|
| 959 | string p,s,t; |
---|
| 960 | |
---|
| 961 | if (defined(pname)) |
---|
| 962 | { if (typeof(`pname`)=="proc") |
---|
| 963 | { p = string(`pname`); |
---|
| 964 | s = "\\begin{verbatim}" + newline; |
---|
| 965 | s = s + "proc " + pname + "("; |
---|
| 966 | i = find(p,"parameter"); // collecting the parameters |
---|
| 967 | while(i) |
---|
| 968 | { j=find(p,";",i); |
---|
| 969 | t = p[i+10,j-i-10]; |
---|
| 970 | if(i>1){s = s + ",";}; |
---|
| 971 | s = s + t; |
---|
| 972 | i = find(p,"parameter",j); |
---|
| 973 | } |
---|
| 974 | s = s + ")" + newline; |
---|
| 975 | j++; // skip one for the newline |
---|
| 976 | i = find(p,"return();",j); |
---|
| 977 | if (!(i)) |
---|
| 978 | { i = find(p,";RETURN();",j); } // j kann hier weg |
---|
[5bc214c] | 979 | s = s + "{" + p[j,i-j-2] + "}" + newline; |
---|
[ae4196] | 980 | s = s + "\\end{verbatim}" + newline; |
---|
| 981 | } |
---|
| 982 | } |
---|
| 983 | else |
---|
| 984 | { print(" --Error: No such proc defined"); |
---|
| 985 | return(); |
---|
| 986 | } |
---|
| 987 | if(size(fname)) |
---|
| 988 | { i=1; |
---|
| 989 | while (fname[i]==">"){i++;} |
---|
| 990 | fname = fname[i,size(fname)-i+1]; |
---|
| 991 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 992 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 993 | } |
---|
[917fb5] | 994 | else {fname = fname + ".tex";} |
---|
[ae4196] | 995 | write(fname,s); |
---|
| 996 | } |
---|
[917fb5] | 997 | else{return(s);} |
---|
[ae4196] | 998 | } |
---|
| 999 | example |
---|
| 1000 | { "EXAMPLE:"; echo=2; |
---|
| 1001 | proc exp(int i,int j,list #) |
---|
| 1002 | { string s; |
---|
| 1003 | |
---|
| 1004 | if (size(#)) |
---|
| 1005 | { |
---|
| 1006 | for(i;i<=j;i++) |
---|
| 1007 | { s = s + string(j) + string(#); } |
---|
| 1008 | } |
---|
| 1009 | return(s); |
---|
| 1010 | } |
---|
| 1011 | export exp; |
---|
[917fb5] | 1012 | texproc("","exp"); |
---|
[5bc214c] | 1013 | kill exp; |
---|
| 1014 | } |
---|
| 1015 | |
---|
| 1016 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1017 | |
---|
| 1018 | static proc tvar(intvec v) |
---|
| 1019 | { |
---|
| 1020 | int i,j,ldots; |
---|
| 1021 | string s; |
---|
| 1022 | j = 1; |
---|
| 1023 | s = texpoly("",var(1)); |
---|
| 1024 | |
---|
| 1025 | if (nvars(basering)==1) { return(s);} |
---|
| 1026 | if (nvars(basering)==2) { return(s + "," + texpoly("",var(2)));} |
---|
| 1027 | if (size(v)==1 and v[1] == 1) |
---|
| 1028 | {return(s + ",\\ldots,"+ texpoly("",var(nvars(basering))));} |
---|
| 1029 | if (v[1]==1 and size(v) >1) {j++;} |
---|
| 1030 | for(i=2;i<nvars(basering);i++) |
---|
| 1031 | { if (i<v[j] and !(ldots)) |
---|
| 1032 | { s = s + ",\\ldots"; |
---|
| 1033 | ldots =1; |
---|
| 1034 | } |
---|
| 1035 | if (i== v[j]) |
---|
| 1036 | { s = s + "," + texpoly("",var(i)); |
---|
| 1037 | ldots =0; |
---|
| 1038 | if (j< size(v)) {j++;} |
---|
| 1039 | } |
---|
| 1040 | } |
---|
| 1041 | if (v[j]<nvars(basering)-1) { s = s + ",\\ldots";} |
---|
| 1042 | return(s + "," + texpoly("",var(nvars(basering)))); |
---|
[ae4196] | 1043 | } |
---|
| 1044 | |
---|
| 1045 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1046 | |
---|
[917fb5] | 1047 | proc texring(string fname, def r, list #) |
---|
[5bc214c] | 1048 | "USAGE: texring(fname, r[,L]); fname string, r ring, L list |
---|
| 1049 | RETURN: if @code{fname=\"\"}: string, the ring in TeX-typesetting;@* |
---|
[3c4dcc] | 1050 | otherwise: append this string to the file @code{<fname>} and |
---|
[5bc214c] | 1051 | return nothing. |
---|
[11dddeb] | 1052 | NOTE: preceding \">>\" are deleted and suffix \".tex\" (if not given) |
---|
[5bc214c] | 1053 | is added to @code{fname}.@* |
---|
| 1054 | The optional list L is assumed to be a list of strings which control, |
---|
[1a3911] | 1055 | for instance the symbol for the field of coefficients.@* |
---|
[5bc214c] | 1056 | For more details call @code{texdemo();} (generates a LaTeX2e |
---|
| 1057 | file called @code{texlibdemo.tex} which explains all features of |
---|
| 1058 | @code{texring}). |
---|
[ae4196] | 1059 | EXAMPLE: example texring; shows an example |
---|
[651b46] | 1060 | " |
---|
[917fb5] | 1061 | { |
---|
[ae4196] | 1062 | int i,galT,flag,mipo,nopar,Dollars,TB,TA; |
---|
| 1063 | string ob,cb,cf,en,s,t,savebrack; //opening bracket, closing br, coef.field |
---|
| 1064 | intvec v; |
---|
| 1065 | |
---|
| 1066 | setring r; |
---|
| 1067 | if (!(defined(NoDollars))){ Dollars = 1; int NoDollars; export NoDollars;} |
---|
| 1068 | ob,cb = "[","]"; |
---|
[5bc214c] | 1069 | if (find(ordstr(r),"s")) { ob,cb="[[","]]";} |
---|
[ae4196] | 1070 | if(char(r)==0){cf="\\Q";} |
---|
| 1071 | if(charstr(r)=="real"){cf="\\R";} |
---|
| 1072 | if(char(r)==prime(char(r))){cf="\\Z_{"+string(char(r))+"}";} |
---|
| 1073 | if(char(r)>0) |
---|
| 1074 | { i = find(charstr(r),","); |
---|
| 1075 | if(i) |
---|
| 1076 | { t= charstr(r)[1,i-1]; |
---|
| 1077 | galT = (t <> string(char(r))); |
---|
| 1078 | if (galT) { cf = "\\F_{"+ t + "}";} |
---|
| 1079 | } |
---|
| 1080 | } // all other cases are cover already by char(r)=? prime(char) |
---|
| 1081 | |
---|
| 1082 | if (size(#)) |
---|
| 1083 | { if (typeof(#[1])=="list") { # = #[1];} |
---|
[917fb5] | 1084 | } |
---|
[ae4196] | 1085 | for (i=1;i<=size(#);i++) |
---|
| 1086 | { flag =0; |
---|
| 1087 | if(typeof(#[i])=="string") |
---|
| 1088 | { |
---|
| 1089 | if(#[i][1]=="^" or #[i][1]=="_"){en=en+#[i];flag = 1;} |
---|
| 1090 | if(#[i]=="mipo"){mipo=1; flag = 1;} |
---|
| 1091 | if(#[i]=="{"){ob,cb="\\{","\\}";flag=1;} |
---|
| 1092 | if(#[i]=="{{"){ob,cb="\\{\\{","\\}\\}";flag=1;} |
---|
| 1093 | if(#[i]=="["){ob,cb="[","]";flag=1;} |
---|
| 1094 | if(#[i]=="[["){ob,cb="[[","]]";flag=1;} |
---|
| 1095 | if(#[i]=="<"){ob,cb="<",">";flag=1;} |
---|
| 1096 | if(#[i]=="<<"){ob,cb="{\\ll}","{\\gg}";flag=1;} |
---|
| 1097 | if(#[i]=="C"){cf="\\C";flag=1;} |
---|
| 1098 | if(#[i]=="Q"){cf="\\Q";flag=1;} |
---|
| 1099 | if((#[i]=="k" or #[i]=="K" or #[i]=="R") and !(galT)) |
---|
| 1100 | {cf=#[i]; flag=1; nopar=1;} |
---|
| 1101 | if (flag!=1) {cf = #[i];} // for all the cases not covered here e.g Z_(p) |
---|
| 1102 | } // or Q[i] |
---|
| 1103 | |
---|
| 1104 | if ((typeof(#[i])=="intvec") or |
---|
| 1105 | (typeof(#[i])=="int")){v=#[i];} |
---|
| 1106 | } |
---|
| 1107 | s = cf; |
---|
| 1108 | // now the parameters |
---|
| 1109 | // t; |
---|
| 1110 | if(npars(r) and ((t==string(char(r))) or char(r)==0) and !(nopar)) |
---|
| 1111 | { |
---|
| 1112 | s = s + "("; // !! mit ideal !! |
---|
| 1113 | for(i=1;i<npars(r);i++) {s = s + texpoly("",par(i)) + ",";} |
---|
| 1114 | s = s + texpoly("",par(npars(r))) + ")"; |
---|
| 1115 | } // parameters done |
---|
[917fb5] | 1116 | if (!(galT) and mipo and minpoly!=0) |
---|
[ae4196] | 1117 | { s = s + "/" + list(parsp(string(minpoly),0))[1];} |
---|
| 1118 | s = s + ob; |
---|
| 1119 | if (v!=0 and nvars(r)>3) |
---|
| 1120 | { s = s + tvar(v);} |
---|
| 1121 | else |
---|
| 1122 | { s = s + texpoly("",maxideal(1),","); } |
---|
| 1123 | s = s + cb + en; |
---|
| 1124 | |
---|
| 1125 | if (typeof(r)=="qring") |
---|
| 1126 | { ideal @I = ideal(r); |
---|
[917fb5] | 1127 | if (defined(TeXbrack)) |
---|
[ae4196] | 1128 | { |
---|
[917fb5] | 1129 | TB =1; savebrack = TeXbrack; |
---|
[ae4196] | 1130 | if (TeXbrack!= "<" and TeXbrack!="(") { TeXbrack = "<";} |
---|
| 1131 | } |
---|
| 1132 | TA = defined(TeXaligned); |
---|
| 1133 | if (!(TA)) { int TeXaligned; export TeXaligned; } |
---|
| 1134 | t = texobj("",@I); |
---|
| 1135 | // @I; |
---|
| 1136 | // t; |
---|
| 1137 | if (TB) { TeXbrack = savebrack;} |
---|
| 1138 | if (!(TA)) { kill TeXaligned;} |
---|
| 1139 | s = s + "/" + t; |
---|
| 1140 | } |
---|
| 1141 | |
---|
[917fb5] | 1142 | if (Dollars) |
---|
[ae4196] | 1143 | { kill NoDollars; |
---|
| 1144 | s = "$" + s + "$"; |
---|
| 1145 | } |
---|
| 1146 | if (size(fname)) |
---|
| 1147 | { i=1; |
---|
| 1148 | while (fname[i]==">"){i++;} |
---|
| 1149 | fname = fname[i,size(fname)-i+1]; |
---|
| 1150 | |
---|
| 1151 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 1152 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 1153 | } |
---|
| 1154 | else {fname = fname + ".tex";} |
---|
| 1155 | write(fname,s); |
---|
| 1156 | } |
---|
| 1157 | else{return(s);} |
---|
[917fb5] | 1158 | } |
---|
[ae4196] | 1159 | example |
---|
| 1160 | { "EXAMPLE:"; echo=2; |
---|
[5bc214c] | 1161 | ring r0 = 0,(x,y),dp; // char = 0, polynomial ordering |
---|
[ae4196] | 1162 | texring("",r0); |
---|
[5bc214c] | 1163 | // |
---|
| 1164 | ring r7 =7,(x(0..2)),ds; // char = 7, local ordering |
---|
[ae4196] | 1165 | texring("",r7); |
---|
[5bc214c] | 1166 | // |
---|
[ae4196] | 1167 | ring r1 = 0,(x1,x2,y1,y2),wp(1,2,3,4); |
---|
| 1168 | texring("",r1); |
---|
[5bc214c] | 1169 | // |
---|
| 1170 | ring rr = real,(x),dp; // real numbers |
---|
[ae4196] | 1171 | texring("",rr); |
---|
[5bc214c] | 1172 | // |
---|
| 1173 | pause(); |
---|
| 1174 | |
---|
| 1175 | ring rabc =(0,t1,t2,t3),(x,y),dp; // ring with parameters |
---|
[ae4196] | 1176 | texring("",rabc); |
---|
[5bc214c] | 1177 | // |
---|
| 1178 | ring ralg = (7,a),(x1,x2),ds; // algebraic extension |
---|
[ae4196] | 1179 | minpoly = a2-a+3; |
---|
| 1180 | texring("",ralg); |
---|
| 1181 | texring("",ralg,"mipo"); |
---|
[5bc214c] | 1182 | // |
---|
[3c4dcc] | 1183 | ring r49=(49,a),x,dp; // Galois field |
---|
[917fb5] | 1184 | texring("",r49); |
---|
[5bc214c] | 1185 | // |
---|
| 1186 | setring r0; // quotient ring |
---|
| 1187 | ideal i = x2-y3; |
---|
[ae4196] | 1188 | qring q = std(i); |
---|
| 1189 | texring("",q); |
---|
[5bc214c] | 1190 | // |
---|
| 1191 | pause(); |
---|
| 1192 | // ------------------ additional features ------------------- |
---|
| 1193 | ring r9 =0,(x(0..9)),ds; |
---|
| 1194 | texring("",r9,1); |
---|
| 1195 | texring("",r9,"C","{","^G"); |
---|
| 1196 | // |
---|
[ae4196] | 1197 | ring rxy = 0,(x(1..5),y(1..6)),ds; |
---|
| 1198 | intvec v = 5,6; |
---|
| 1199 | texring("",rxy,v); |
---|
| 1200 | } |
---|
| 1201 | |
---|
| 1202 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1203 | |
---|
| 1204 | proc rmx(string fname) |
---|
[5bc214c] | 1205 | "USAGE: rmx(fname); fname string |
---|
[3c4dcc] | 1206 | RETURN: nothing; removes the @code{.log} and @code{.aux} files associated to |
---|
[5bc214c] | 1207 | the LaTeX file <fname>.@* |
---|
[3c4dcc] | 1208 | NOTE: If @code{fname} ends by @code{\".dvi\"} or @code{\".tex\"}, the |
---|
[5bc214c] | 1209 | @code{.dvi} or @code{.tex} file will be deleted, too. |
---|
[ae4196] | 1210 | EXAMPLE: example rmx; shows an example |
---|
[651b46] | 1211 | " |
---|
[ae4196] | 1212 | { |
---|
| 1213 | int i,suffix= 1,0; |
---|
[917fb5] | 1214 | int retval; |
---|
[ae4196] | 1215 | |
---|
| 1216 | if (size(fname)) |
---|
| 1217 | { |
---|
| 1218 | while (fname[i]==">"){i++;} |
---|
| 1219 | fname = fname[i,size(fname)-i+1]; |
---|
| 1220 | if (size(fname)>4) |
---|
| 1221 | { if (fname[size(fname)-3,4]==".tex") { suffix = 2;} |
---|
| 1222 | if (fname[size(fname)-3,4]==".dvi") { suffix = 1; } |
---|
| 1223 | if (suffix) { fname = fname[1,size(fname)-4]; } |
---|
[917fb5] | 1224 | } |
---|
[ae4196] | 1225 | retval = system("sh","rm " + fname + ".aux"); |
---|
| 1226 | retval = system("sh","rm " + fname + ".log"); |
---|
| 1227 | if (suffix==2) {retval = system("sh","/bin/rm -i " + fname +".tex");} |
---|
| 1228 | if (suffix>=1) {retval = system("sh","/bin/rm -i " + fname +".dvi");} |
---|
| 1229 | } |
---|
| 1230 | else |
---|
| 1231 | {" -- Need a filename "; |
---|
| 1232 | return(); |
---|
[917fb5] | 1233 | } |
---|
[ae4196] | 1234 | } |
---|
| 1235 | example |
---|
| 1236 | { "EXAMPLE:"; echo =2; |
---|
| 1237 | ring r; |
---|
| 1238 | poly f = x+y+z; |
---|
| 1239 | opentex("exp001"); // defaulted latex2e document |
---|
| 1240 | texobj("exp001","A polynom",f); |
---|
| 1241 | closetex("exp001"); |
---|
| 1242 | tex("exp001"); |
---|
| 1243 | rmx("exp001"); // removes aux and log file of exp001 |
---|
| 1244 | echo = 0; |
---|
[917fb5] | 1245 | pause("remaining files will be deleted after pressing <RETURN>"); |
---|
[ae4196] | 1246 | echo = 2; |
---|
[5bc214c] | 1247 | system("sh","rm exp001.*"); |
---|
[ae4196] | 1248 | } |
---|
| 1249 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1250 | |
---|
| 1251 | proc xdvi(string fname, list #) |
---|
[651b46] | 1252 | "USAGE: xdvi(fname[,style]); fname,style = string |
---|
[ae4196] | 1253 | RETURN: nothing; displays dvi-file fname.dvi with previewer xdvi |
---|
[a15d90] | 1254 | NOTE: suffix .dvi may be omitted in fname |
---|
[1a3911] | 1255 | style captures the program that will be called instead of the default (xdvi) |
---|
[651b46] | 1256 | EXAMPLE: example xdvi; shows an example |
---|
| 1257 | " |
---|
[ae4196] | 1258 | { |
---|
| 1259 | int i=1; |
---|
| 1260 | int retval; |
---|
[917fb5] | 1261 | string default = "xdvi"; |
---|
| 1262 | |
---|
[ae4196] | 1263 | if (size(#)) {default = string(#[1]);} |
---|
[917fb5] | 1264 | |
---|
[ae4196] | 1265 | if (size(fname)) |
---|
| 1266 | { |
---|
| 1267 | while (fname[i]==">") {i++;} |
---|
| 1268 | fname = fname[i,size(fname)-i+1]; |
---|
| 1269 | |
---|
| 1270 | if (size(fname)>=4) |
---|
| 1271 | { if(fname[size(fname)-3,4]==".tex") {fname = fname[1,size(fname)-4];}} |
---|
[917fb5] | 1272 | |
---|
| 1273 | "calling ",default, " for :",fname,newline; |
---|
| 1274 | |
---|
[0e6c7f] | 1275 | if (default=="latex2e") |
---|
| 1276 | { |
---|
| 1277 | retval = system("sh","latex " + fname +" &"); |
---|
| 1278 | } |
---|
| 1279 | else |
---|
| 1280 | { |
---|
| 1281 | retval = system("sh",default + " " + fname +" &"); |
---|
| 1282 | } |
---|
[ae4196] | 1283 | } |
---|
| 1284 | else |
---|
| 1285 | { " -- Need a filename "; |
---|
| 1286 | return(); |
---|
| 1287 | } |
---|
| 1288 | } |
---|
| 1289 | example |
---|
| 1290 | { "EXAMPLE:"; echo = 2; |
---|
[5bc214c] | 1291 | intmat m[3][4] = 9,2,4,5,2,5,-2,4,-6,10,-1,2,7; |
---|
[3c4dcc] | 1292 | opentex("exp001"); |
---|
[5bc214c] | 1293 | texobj("exp001","An intmat: ",m); |
---|
[ae4196] | 1294 | closetex("exp001"); |
---|
| 1295 | tex("exp001"); |
---|
| 1296 | xdvi("exp001"); |
---|
| 1297 | echo = 0; |
---|
[917fb5] | 1298 | pause("the created files will be deleted after pressing <RETURN>"); |
---|
[ae4196] | 1299 | echo = 2; |
---|
[5bc214c] | 1300 | system("sh","rm exp001.*"); |
---|
| 1301 | } |
---|
| 1302 | |
---|
| 1303 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1304 | |
---|
| 1305 | static proc parsr(string s) // parse real |
---|
[3c4dcc] | 1306 | { |
---|
[5bc214c] | 1307 | string t; |
---|
| 1308 | if (s==" Inf") { return("\\infty",3);} |
---|
| 1309 | if (s==" -Inf") { return("\\-infty",6);} |
---|
| 1310 | if (s[7]=="-"){t ="-";} |
---|
| 1311 | if (s[8]<>"0"){t = t + s[8];} |
---|
| 1312 | if (s[9]<>"0" or s[8]<>"0"){t = t + s[9];} |
---|
| 1313 | if (size(t)) |
---|
| 1314 | { if (t=="1") {return(s[1,5]+"*10",21);} |
---|
| 1315 | if (size(t)>1) {return(s[1,5]+"*10^{"+t+"}",21+2*size(t));} |
---|
| 1316 | else {return(s[1,5]+"*10^"+t,23);} |
---|
| 1317 | } |
---|
[3c4dcc] | 1318 | else |
---|
[5bc214c] | 1319 | { |
---|
| 1320 | return(s[1,5],12); |
---|
| 1321 | } |
---|
| 1322 | } |
---|
| 1323 | |
---|
[b6b6153] | 1324 | static proc parsg(string s) // parse Galois field |
---|
[3c4dcc] | 1325 | { |
---|
[5bc214c] | 1326 | int i,j = 1,1; |
---|
| 1327 | string t; |
---|
| 1328 | if (short) |
---|
[3c4dcc] | 1329 | { |
---|
[5bc214c] | 1330 | t =s[1]; |
---|
| 1331 | if(size(s)>1) {return(t+"^{" + s[2,size(s)-1] + "}",3+2*(size(s)-1));} |
---|
| 1332 | else{return(t,5);} |
---|
| 1333 | } |
---|
| 1334 | else |
---|
[3c4dcc] | 1335 | { |
---|
[5bc214c] | 1336 | return(parselong(s+"!")); |
---|
| 1337 | } |
---|
[ae4196] | 1338 | } |
---|
| 1339 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1340 | |
---|
| 1341 | proc texpoly(string fname,def p,list #) |
---|
[5bc214c] | 1342 | "USAGE: texpoly(fname,p); fname string, p poly |
---|
| 1343 | RETURN: if @code{fname=\"\"}: string, the poly p in LaTeX-typesetting;@* |
---|
[3c4dcc] | 1344 | otherwise: append this string to the file @code{<fname>}, and |
---|
[5bc214c] | 1345 | return nothing. |
---|
[3c4dcc] | 1346 | NOTE: preceding \">>\" are deleted in @code{fname}, and suffix \".tex\" |
---|
[5bc214c] | 1347 | (if not given) is added to @code{fname}. |
---|
[afcf7d] | 1348 | EXAMPLE: example texpoly; shows an example |
---|
[651b46] | 1349 | " |
---|
[917fb5] | 1350 | { |
---|
[ae4196] | 1351 | def @r = basering; |
---|
| 1352 | |
---|
| 1353 | poly f,monom; |
---|
| 1354 | ideal I; |
---|
| 1355 | number cfm; |
---|
| 1356 | string sign,cfmt,pt,s,bg,t,monomt, lnbreak; |
---|
| 1357 | string sep = newline; |
---|
[917fb5] | 1358 | int i,b,b2,n, msz,linesz, count,k; |
---|
[ae4196] | 1359 | int realT, parT, galT; |
---|
| 1360 | int C = 2 + defined(TeXdisplay); |
---|
| 1361 | |
---|
| 1362 | string notvalid = "intvec intmat vector matrix module map "; |
---|
| 1363 | |
---|
| 1364 | if (typeof(p) == "int") { return(p);} |
---|
| 1365 | if (typeof(p) == "ring" or typeof(p) == "qring") |
---|
| 1366 | { " -- Call texring instead "; return();} |
---|
[917fb5] | 1367 | if (find(notvalid,typeof(p))) |
---|
[ae4196] | 1368 | { " -- Call texobj instead "; return();} |
---|
| 1369 | if (typeof(p) == "map") |
---|
| 1370 | { " -- Call texmap instead "; return();} |
---|
| 1371 | if (typeof(p) == "proc") |
---|
| 1372 | { " -- Call texmap instead "; return();} |
---|
| 1373 | if (typeof(p) == "link" or typeof(p) == "list" or typeof(p) == "resolution") |
---|
| 1374 | { " -- Object can not translated into tex "; return();} |
---|
| 1375 | |
---|
| 1376 | if (!(defined(TeXdisplay))){ lnbreak = "\\\\[2mm]" + newline;} |
---|
| 1377 | else { lnbreak = "\\\\" + newline;} |
---|
| 1378 | |
---|
[917fb5] | 1379 | |
---|
[ae4196] | 1380 | if (defined(TeXdisplay)) { bg = "& ";} |
---|
| 1381 | if (!(defined(TeXwidth))) { int TeXwidth = -1; export TeXwidth;} |
---|
| 1382 | |
---|
| 1383 | |
---|
| 1384 | // -- Type check |
---|
[917fb5] | 1385 | |
---|
[ae4196] | 1386 | if (typeof(p)=="string") |
---|
| 1387 | { if(defined(`p`)) |
---|
[917fb5] | 1388 | { pt = p + " = "; |
---|
| 1389 | p = `p`; |
---|
[ae4196] | 1390 | } |
---|
| 1391 | } |
---|
| 1392 | if (typeof(p)=="poly" or typeof(p)=="number") {I = p;} |
---|
[917fb5] | 1393 | |
---|
| 1394 | if (typeof(p)=="ideal") |
---|
[ae4196] | 1395 | { I = p; |
---|
| 1396 | if(size(#)){ sep = #[1];} |
---|
| 1397 | } |
---|
| 1398 | |
---|
[917fb5] | 1399 | if (I==0) |
---|
[ae4196] | 1400 | { if (!(defined(NoDollars))){return("$0$");} |
---|
| 1401 | else {return("0");} |
---|
| 1402 | } |
---|
| 1403 | |
---|
[917fb5] | 1404 | // -- Type check ende |
---|
[ae4196] | 1405 | |
---|
[917fb5] | 1406 | //--------------------- |
---|
[ae4196] | 1407 | |
---|
| 1408 | |
---|
| 1409 | //------- set flags: -------------------------------------------------------- |
---|
[917fb5] | 1410 | |
---|
[ae4196] | 1411 | if (size(#)) |
---|
| 1412 | { if (typeof(#[1])=="int") { linesz = #[1];} |
---|
| 1413 | // if (typeof(#[1])=="string") { linesz = #[1];} |
---|
| 1414 | } |
---|
| 1415 | |
---|
| 1416 | parT = npars(@r); |
---|
| 1417 | realT = (charstr(@r)=="real"); |
---|
| 1418 | i = find(charstr(@r),","); |
---|
| 1419 | if (i) |
---|
| 1420 | { t = charstr(@r)[1,i-1]; |
---|
| 1421 | galT = (t <> string(char(@r))); // the char is not the same as the ... |
---|
[917fb5] | 1422 | } |
---|
[ae4196] | 1423 | i = 0; |
---|
[917fb5] | 1424 | |
---|
[5bc214c] | 1425 | //------- parse the polynomial |
---|
[ae4196] | 1426 | pt = bg; |
---|
[917fb5] | 1427 | |
---|
[ae4196] | 1428 | for(k=1;k<=size(matrix(I));k++) |
---|
| 1429 | { i = 0; linesz = 0; count =0; |
---|
[917fb5] | 1430 | sign =""; |
---|
[ae4196] | 1431 | f = I[k]; |
---|
| 1432 | if (f==0) { pt = pt + "0";} |
---|
| 1433 | while(f<>0) |
---|
| 1434 | { count++; msz = 0; |
---|
| 1435 | |
---|
| 1436 | // ------ tex the coefficient |
---|
[917fb5] | 1437 | monom = lead(f); |
---|
| 1438 | f = f - monom; |
---|
[ae4196] | 1439 | cfm = leadcoef(monom); |
---|
| 1440 | if (cfm*1 != 0) { monom = monom/cfm;} // the normalized monom |
---|
[2301b7] | 1441 | if (defined(TeXreplace)) { short =0;} // this is essential //31.5.07 |
---|
[ae4196] | 1442 | s = string(monom) + "!"; // add a terminating sign |
---|
| 1443 | cfmt = ""; |
---|
[917fb5] | 1444 | |
---|
[ae4196] | 1445 | cfmt = string(cfm); |
---|
| 1446 | if (size(cfmt)>1) // check if sign is < 0 |
---|
| 1447 | { if (cfmt[2]=="-") { cfm = (-1) *cfm; sign = "-";}} |
---|
| 1448 | if (cfmt[1] == "-") { cfm = (-1) * cfm; sign = "-";} |
---|
| 1449 | if (cfm!=1 or monom==1) {cfmt = string(cfm);} |
---|
| 1450 | else {cfmt="";} |
---|
| 1451 | |
---|
| 1452 | if (defined(TeXwidth) and TeXwidth > 0 and TeXwidth <9 and count> TeXwidth) |
---|
[5bc214c] | 1453 | { pt = pt + sign + "\\ldots"; break;} |
---|
[ae4196] | 1454 | // ---------------------------------------- linesz ?? |
---|
| 1455 | |
---|
| 1456 | if (size(cfmt)) // parse the coefficient |
---|
| 1457 | { |
---|
| 1458 | monomt = cfmt; // (already a good choice for integers) |
---|
| 1459 | msz = 3*size(cfmt); |
---|
| 1460 | |
---|
| 1461 | if(realT) { monomt,msz = parsr(cfmt);} |
---|
| 1462 | if (galT) { monomt,msz = parsg(cfmt);} |
---|
[2301b7] | 1463 | b = find(cfmt,"/("); // look if fraction // 31.5.07 |
---|
[ae4196] | 1464 | b2 = find(cfmt,"/"); |
---|
[2301b7] | 1465 | // if (b) {b++;} // 31.5.07 |
---|
[ae4196] | 1466 | n = size(cfmt); |
---|
[917fb5] | 1467 | if (!(parT) and !(realT) and !(galT)) |
---|
| 1468 | { if( !(b2) or defined(TeXnofrac)) |
---|
[ae4196] | 1469 | { monomt = cfmt; msz = 3*size(monomt);} |
---|
| 1470 | else |
---|
| 1471 | { monomt = "\\frac{" + cfmt[1,b2-1] + "}{" + cfmt[b2+1,n-b2] + "}"; |
---|
| 1472 | if (n-2*b2>0) {msz = C*(n-b2);} |
---|
| 1473 | else {msz = C*b2;} |
---|
| 1474 | } |
---|
| 1475 | } |
---|
| 1476 | if (parT and !(galT)) |
---|
| 1477 | { monomt,msz = parsp(cfmt,b);} |
---|
| 1478 | } |
---|
| 1479 | |
---|
| 1480 | // -- now parse the monom |
---|
| 1481 | if (monom <> 1) |
---|
[917fb5] | 1482 | { i = 1; |
---|
[ae4196] | 1483 | if(short) |
---|
| 1484 | { while(s[i]<>"!") |
---|
[917fb5] | 1485 | { monomt = monomt + s[i]; i++; |
---|
[ae4196] | 1486 | b = i; |
---|
| 1487 | msz = msz + 3; // it was a single lettered var |
---|
| 1488 | while(s[i]!="!" and s[i]>="0" and s[i]<="9"){i++;} |
---|
| 1489 | if (i-b) |
---|
| 1490 | { monomt = monomt + "^{" + s[b,i-b] + "}"; |
---|
| 1491 | msz = msz + 2*(i-b); |
---|
| 1492 | } |
---|
| 1493 | } |
---|
| 1494 | } |
---|
| 1495 | else // not short |
---|
| 1496 | { t,i = parselong(s); |
---|
| 1497 | monomt = monomt + t; |
---|
| 1498 | msz = msz + i; |
---|
| 1499 | } |
---|
| 1500 | } |
---|
[917fb5] | 1501 | |
---|
[ae4196] | 1502 | msz = msz + 6*size(sign); // Wieso mal 6 ?? |
---|
| 1503 | // string(msz) + " ," + string(linesz) + " " + string(cfm*monom); |
---|
| 1504 | |
---|
| 1505 | if (TeXwidth > 10 and (linesz + msz > 3*TeXwidth) and linesz) |
---|
[917fb5] | 1506 | { pt = pt + lnbreak + bg; |
---|
| 1507 | linesz = msz; |
---|
[ae4196] | 1508 | } |
---|
[917fb5] | 1509 | else { linesz = linesz + msz; } // 3 for sign |
---|
[ae4196] | 1510 | pt = pt + sign + monomt; |
---|
| 1511 | sign = "+"; |
---|
| 1512 | monomt = ""; |
---|
| 1513 | } |
---|
| 1514 | |
---|
| 1515 | if (k<size(matrix(I))){ pt = pt + sep;} |
---|
| 1516 | } |
---|
| 1517 | |
---|
| 1518 | if (TeXwidth==0 and typeof(p)=="poly"){ pt = pt + "= 0";} |
---|
| 1519 | if (not(defined(NoDollars))) { pt = "$"+pt+"$";} |
---|
| 1520 | |
---|
| 1521 | if (size(fname)) |
---|
| 1522 | { i=1; |
---|
| 1523 | while (fname[i]==">"){i++;} |
---|
| 1524 | fname = fname[i,size(fname)-i+1]; |
---|
| 1525 | |
---|
| 1526 | if (size(fname)>=4) // check if filename is ending with ".tex" |
---|
| 1527 | { if(fname[size(fname)-3,4]!=".tex") {fname = fname +".tex"; } |
---|
| 1528 | } |
---|
| 1529 | else {fname = fname + ".tex";} |
---|
| 1530 | write(fname,pt); |
---|
| 1531 | } |
---|
| 1532 | else {return(pt);} |
---|
[917fb5] | 1533 | } |
---|
[ae4196] | 1534 | example |
---|
| 1535 | { "EXAMPLE:"; echo =2; |
---|
| 1536 | ring r0=0,(x,y,z),dp; |
---|
| 1537 | poly f = -1x^2 + 2; |
---|
| 1538 | texpoly("",f); |
---|
[5bc214c] | 1539 | ring rr= real,(x,y,z),dp; |
---|
[ae4196] | 1540 | texpoly("",2x2y23z); |
---|
| 1541 | ring r7= 7,(x,y,z),dp; |
---|
| 1542 | poly f = 2x2y23z; |
---|
| 1543 | texpoly("",f); |
---|
| 1544 | ring rab =(0,a,b),(x,y,z),dp; |
---|
| 1545 | poly f = (-2a2 +b3 -2)/a * x2y4z5 + (a2+1)*x + a+1; |
---|
| 1546 | f; |
---|
| 1547 | texpoly("",f); |
---|
[2301b7] | 1548 | texpoly("",1/(a2+2)*x+2/b); |
---|
[917fb5] | 1549 | } |
---|
[ae4196] | 1550 | |
---|
[651b46] | 1551 | static proc parsp(string cfmt, int b) |
---|
[ae4196] | 1552 | { string mt, nom,denom; |
---|
| 1553 | int fl1,fl2,sz1,sz2,msz; |
---|
| 1554 | |
---|
| 1555 | if (!(b)) |
---|
| 1556 | { mt,fl1 = parst(cfmt,0); msz = size(cfmt)-2; |
---|
| 1557 | if (fl1) { mt = "(" + mt + ")"; msz = msz +1; } |
---|
| 1558 | } |
---|
| 1559 | else |
---|
| 1560 | { nom,fl1 = parst(cfmt[1,b-1],1); |
---|
| 1561 | denom,fl2 = parst(cfmt[b+1,size(cfmt)-b],1); |
---|
| 1562 | if (defined(TeXnofrac)) |
---|
| 1563 | { if(fl1) { nom = "(" + nom + ")"; sz1++;} |
---|
| 1564 | if(fl2) {denom = "(" + denom + ")"; sz2++;} |
---|
[2301b7] | 1565 | mt = "(" + nom+ "/"+ denom+ ")"; msz = sz1+sz2 +1; //31.5.07 |
---|
[ae4196] | 1566 | } |
---|
| 1567 | else |
---|
| 1568 | { mt = "\\frac{" + nom + "}{" + denom + "}"; |
---|
| 1569 | if (sz1-sz2) { msz = 5*sz1;} |
---|
| 1570 | else {msz = 5*sz2;} |
---|
| 1571 | } |
---|
| 1572 | } |
---|
| 1573 | return(mt,msz); |
---|
| 1574 | } |
---|
| 1575 | example |
---|
| 1576 | {"EXAMPLE:"; echo =2; |
---|
| 1577 | ring r=(0,a,b),x,dp; |
---|
| 1578 | int i; |
---|
| 1579 | poly f = (a2b12 + 23a2 -b13-1)/(a2+2b -1); |
---|
| 1580 | f; |
---|
| 1581 | string s; |
---|
| 1582 | s= string(f); |
---|
| 1583 | i = find(s,")/("); |
---|
| 1584 | parsp(s,i); |
---|
| 1585 | } |
---|
| 1586 | |
---|
[651b46] | 1587 | static proc parst(string s,int sec) // parse parameter |
---|
[ae4196] | 1588 | // sec parameter to see if in parsp a fraction follows |
---|
| 1589 | { int i,j =1,-1; |
---|
[917fb5] | 1590 | int b,k,jj,mz; // begin and end |
---|
[ae4196] | 1591 | int saveshort=short; |
---|
| 1592 | string t,c,vn,nom,denom,sg; |
---|
[6a7528] | 1593 | if (s[1]=="(") { s = s[2,size(s)-2]; } |
---|
| 1594 | s = s + "!"; |
---|
[ae4196] | 1595 | |
---|
[2301b7] | 1596 | //if(defined(TeXreplace)){ short =0;} // hier ueberfluessig 31.5.07 |
---|
[ae4196] | 1597 | if (short) |
---|
[7f3ad4] | 1598 | { j = 0; // 31.5.07 |
---|
[2301b7] | 1599 | while(s[i]<>"!") |
---|
| 1600 | { b=i; if (s[i]=="+" or s[i]=="-") {j++;} // 31.5.07 |
---|
[ae4196] | 1601 | while(s[i]>="0" and s[i]<="9" or (s[i]=="+" or s[i]=="-") and s[i]!="!") |
---|
[6a7528] | 1602 | {i++;} // scan the number |
---|
[ae4196] | 1603 | t =s[b,i-b]; |
---|
| 1604 | // if (t=="-1" and s[i]!="!" and s[i]!="-" and s[i]!="+"){t = "-";} |
---|
| 1605 | if (t=="-1" and (s[i]<="0" or s[i]>="9") and s[i]!= "/" and s[i]!="!") |
---|
| 1606 | { |
---|
[6a7528] | 1607 | t = "-";} |
---|
| 1608 | if (s[i]=="/") |
---|
[ae4196] | 1609 | { i++; |
---|
| 1610 | sg = ""; |
---|
| 1611 | if (t[1]=="+" or t[1]=="-") |
---|
| 1612 | { nom = t[2,size(t)-1]; |
---|
| 1613 | sg = t[1]; |
---|
| 1614 | } |
---|
| 1615 | else { nom = t;} |
---|
[6a7528] | 1616 | b =i; |
---|
[ae4196] | 1617 | while(s[i]>="0" and s[i]<="9") {i++;} |
---|
| 1618 | denom = s[b,i-b]; |
---|
| 1619 | if (!(sec) and (!(defined(TeXaligned)))) |
---|
| 1620 | { t = sg + "\\frac{" + nom + "}{" + denom + "}";} |
---|
| 1621 | else |
---|
| 1622 | { t = sg + "(" + nom + "/" + denom + ")"; |
---|
| 1623 | } |
---|
[6a7528] | 1624 | } |
---|
[ae4196] | 1625 | c = c + t; |
---|
| 1626 | if(s[i]!="!"){c = c + s[i]; i++;} // the parameter |
---|
| 1627 | b=i; |
---|
| 1628 | while(s[i]>="0" and s[i]<="9") |
---|
| 1629 | {i++;} //the exponent |
---|
| 1630 | if(i-b){ c = c + "^{" + s[b,i-b]+"}";} |
---|
| 1631 | } |
---|
| 1632 | } |
---|
| 1633 | else // if not short .... |
---|
[6a7528] | 1634 | { while (s[i] <> "!") |
---|
[ae4196] | 1635 | { b=i; j++; |
---|
| 1636 | while(s[i]=="-" or s[i]=="+" or (s[i]>="0" and s[i]<="9")){i++;} |
---|
| 1637 | t = s[b,i-b]; |
---|
| 1638 | if (t=="-1" and s[i]=="*" ) {t="-";} |
---|
[6a7528] | 1639 | if (s[i]=="/") |
---|
[ae4196] | 1640 | { i++; |
---|
| 1641 | sg = ""; |
---|
| 1642 | if (t[1]=="+" or t[1]=="-") |
---|
| 1643 | { nom = t[2,size(t)-1]; |
---|
| 1644 | sg = t[1]; |
---|
| 1645 | } |
---|
| 1646 | else { nom = t;} |
---|
[6a7528] | 1647 | b =i; |
---|
[ae4196] | 1648 | while(s[i]>="0" and s[i]<="9") {i++;} |
---|
| 1649 | denom = s[b,i-b]; |
---|
| 1650 | if (!(sec) and (!(defined(TeXaligned)))) |
---|
| 1651 | { t = sg + "\\frac{" + nom + "}{" + denom + "}";} |
---|
| 1652 | else |
---|
| 1653 | { t = sg + "(" + nom + "/" + denom + ")"; |
---|
| 1654 | } |
---|
[6a7528] | 1655 | } |
---|
| 1656 | c = c+t; t=""; |
---|
| 1657 | if (s[i]=="*"){i++;} |
---|
[ae4196] | 1658 | b=i; |
---|
| 1659 | while(s[i]!="+" and s[i]!="-" and s[i]!="!") //pass a monom |
---|
[6a7528] | 1660 | { // start with letters |
---|
[ae4196] | 1661 | // alternativ: |
---|
| 1662 | while((s[i]>="a" and s[i]<="z") or (s[i]>="A" and s[i]<="Z")){i++;} |
---|
[6a7528] | 1663 | k = i-b; |
---|
[ae4196] | 1664 | vn = s[b,k]; |
---|
| 1665 | if (defined(TeXreplace)) |
---|
[6a7528] | 1666 | { for (jj=1; jj<= size(TeXreplace);jj++) |
---|
| 1667 | { if (vn == TeXreplace[jj][1]) |
---|
[ae4196] | 1668 | {vn = TeXreplace[jj][2]; k=1; |
---|
[6a7528] | 1669 | if (s[i]=="*") {vn = vn + " ";} |
---|
[ae4196] | 1670 | break;} //suppose replacing by a single sign |
---|
| 1671 | } |
---|
| 1672 | } |
---|
| 1673 | t = t + vn; |
---|
| 1674 | mz = mz + 10*k; |
---|
| 1675 | if (s[i]=="_" or s[i]=="(") { i++;} // the index is coming |
---|
| 1676 | b = i; |
---|
| 1677 | while(s[i]>="0" and s[i]<="9"){ i++;} |
---|
| 1678 | k = i-b; |
---|
| 1679 | if (k){ t = t + "_{" +s[b,k] + "}";} |
---|
| 1680 | if(s[i]==")") {i++;} |
---|
| 1681 | if (s[i]=="^") |
---|
| 1682 | { i++; b = i; |
---|
| 1683 | while(s[i]>="0" and s[i]<="9"){ i++;} // for neg. expon. |
---|
| 1684 | if (b-i) { t = t + "^{" + s[b,i-b] + "}";} |
---|
| 1685 | } |
---|
| 1686 | if (i-b > k) { mz = mz + 5*(i-b);} |
---|
| 1687 | else {mz = mz + 5*k;} |
---|
| 1688 | if (s[i]=="*"){i++;} |
---|
| 1689 | b=i; |
---|
| 1690 | } |
---|
| 1691 | c =c+t; |
---|
| 1692 | } |
---|
| 1693 | } |
---|
| 1694 | short = saveshort; |
---|
| 1695 | return(c,j); |
---|
| 1696 | } |
---|
| 1697 | example |
---|
| 1698 | { "EXAMPLE:"; echo =2; |
---|
| 1699 | ring r=(0,a,b),x,dp; |
---|
| 1700 | poly f = (a2b12 + 23a2 -b13-1); |
---|
| 1701 | f; |
---|
| 1702 | parst(string(f)); |
---|
[6a7528] | 1703 | |
---|
[ae4196] | 1704 | f =(-a +4b2 -2); |
---|
| 1705 | f; |
---|
| 1706 | parst(string(f)); |
---|
[6a7528] | 1707 | |
---|
[ae4196] | 1708 | f = a23; |
---|
| 1709 | f; |
---|
| 1710 | parst(string(f)); |
---|
| 1711 | f = 2a12b3 -4ab15 +2a4b12 -2; |
---|
| 1712 | short =0; |
---|
| 1713 | f; |
---|
| 1714 | parst(string(f)); |
---|
| 1715 | ring r2=(0,a1,b1),x,dp; |
---|
| 1716 | poly f = 2*a1^12*b1^3 -4*a1*b1^15 +2*a1^4*b1^12 -2; |
---|
| 1717 | f; |
---|
| 1718 | parst(string(f)); |
---|
| 1719 | } |
---|
| 1720 | |
---|
| 1721 | |
---|
[651b46] | 1722 | static proc parselong(string s) |
---|
[6a7528] | 1723 | { |
---|
[ae4196] | 1724 | int i,j,k,b,mz; |
---|
| 1725 | string t,vn; // varname |
---|
[6a7528] | 1726 | |
---|
[ae4196] | 1727 | // "s=" + s; |
---|
[6a7528] | 1728 | i = 1; |
---|
| 1729 | while (s[i] <> "!") |
---|
| 1730 | { b=i; |
---|
| 1731 | |
---|
[ae4196] | 1732 | // -- scan now the letter ... |
---|
| 1733 | |
---|
| 1734 | // while(s[i]!="!" and ) |
---|
| 1735 | |
---|
| 1736 | // alternativ: |
---|
| 1737 | while((s[i]>="a" and s[i]<="z") or (s[i]>="A" and s[i]<="Z")) |
---|
| 1738 | { i++;} |
---|
| 1739 | // s[i]; i; |
---|
[6a7528] | 1740 | k = i-b; |
---|
[ae4196] | 1741 | vn = s[b,k]; |
---|
| 1742 | |
---|
| 1743 | if (defined(TeXreplace)) |
---|
[6a7528] | 1744 | { for (j=1; j<= size(TeXreplace);j++) |
---|
| 1745 | { if (vn == TeXreplace[j][1]) |
---|
[ae4196] | 1746 | {vn = TeXreplace[j][2]; k=1; |
---|
[6a7528] | 1747 | if (s[i]=="*") {vn = vn + " ";} |
---|
[ae4196] | 1748 | break;} //suppose replacing by a single sign |
---|
| 1749 | } |
---|
| 1750 | } |
---|
| 1751 | t = t + vn; |
---|
| 1752 | mz = mz + 10*k; |
---|
| 1753 | if (s[i]=="_" or s[i]=="(") { i++;} // the index is coming |
---|
| 1754 | b = i; |
---|
| 1755 | while(s[i]>="0" and s[i]<="9"){ i++;} |
---|
| 1756 | j = i-b; |
---|
| 1757 | if (j){ t = t + "_{" +s[b,j] + "}";} |
---|
| 1758 | if(s[i]==")") {i++;} |
---|
| 1759 | if (s[i]=="^") |
---|
| 1760 | { i++; b = i; |
---|
| 1761 | while(s[i]>="0" and s[i]<="9" or s[i]=="-") |
---|
| 1762 | { i++;} // for neg. expon. |
---|
| 1763 | if (b-i) { t = t + "^{" + s[b,i-b] + "}";} |
---|
| 1764 | } |
---|
| 1765 | if (i-b > j) { mz = mz + 5*(i-b);} |
---|
| 1766 | else {mz = mz + 5*j;} |
---|
| 1767 | if (s[i]=="*"){i++;} |
---|
| 1768 | } |
---|
| 1769 | return(t,mz); |
---|
| 1770 | } |
---|
| 1771 | example |
---|
[6a7528] | 1772 | { "EXAMPLE:"; echo =2; |
---|
[ae4196] | 1773 | ring r =(49,a),x,dp; |
---|
| 1774 | number f = a13; |
---|
| 1775 | parsg(string(f)); |
---|
| 1776 | list TeXreplace; export TeXreplace; |
---|
| 1777 | TeXreplace[1] = list("b","\\beta"); |
---|
| 1778 | TeXreplace[2] = list("a","\\alpha"); |
---|
[6a7528] | 1779 | TeXreplace[3] = list("c","\\gamma"); |
---|
[ae4196] | 1780 | parselong(string(f)+"!"); |
---|
| 1781 | } |
---|
| 1782 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1783 | |
---|
[afcf7d] | 1784 | |
---|
[5bc214c] | 1785 | static proc tktex (def d) |
---|
[afcf7d] | 1786 | { |
---|
| 1787 | // calls appropriate proc from latex lib |
---|
| 1788 | |
---|
| 1789 | string typeofd =typeof(d); |
---|
| 1790 | if (typeofd=="int" or typeofd=="string" or typeofd=="resolution" or typeofd=="map" or typeofd =="list"){ return(d);} |
---|
| 1791 | |
---|
| 1792 | if (typeofd=="intvec" or typeofd == "intmat" or typeofd =="vector" or |
---|
| 1793 | typeofd=="matrix" or typeofd == "module") { return(texobj("",d));} |
---|
| 1794 | if (typeofd=="ring" or typeofd=="qring") { return(texring("",d));} |
---|
| 1795 | if (typeofd =="ideal") { return(texobj("",d));} |
---|
| 1796 | if (typeofd=="number" or typeofd=="poly" or typeofd=="ideal") |
---|
| 1797 | { return(texpoly("",d));} |
---|
| 1798 | if (typeofd=="link") {return(d);} |
---|
| 1799 | |
---|
| 1800 | } |
---|
[ae4196] | 1801 | |
---|
[5bc214c] | 1802 | /////////////////////////////////////////////////////////////////////////////// |
---|
| 1803 | static proc splt(string s) |
---|
[ae4196] | 1804 | { int n,i= size(s),1; |
---|
| 1805 | int p; |
---|
| 1806 | string t; |
---|
[6a7528] | 1807 | |
---|
[ae4196] | 1808 | while(n-i+1 >pagewidth) |
---|
| 1809 | { p = find(s,newline,i); |
---|
| 1810 | if (p and (p-i)<pagewidth) |
---|
| 1811 | { t = t + s[i,p]; |
---|
| 1812 | i = i + p; |
---|
| 1813 | } |
---|
| 1814 | else |
---|
| 1815 | { |
---|
| 1816 | t = t+ s[i,pagewidth] + newline; |
---|
| 1817 | i = i + pagewidth; |
---|
| 1818 | } |
---|
| 1819 | } |
---|
| 1820 | if (n) { t= t + s[i,n-i+1];} |
---|
| 1821 | return(t); |
---|
| 1822 | } |
---|
| 1823 | |
---|
[5bc214c] | 1824 | ///////////////////////////// PART0 ////////////////////////////////////////// |
---|
| 1825 | static proc part0(string fname) |
---|
| 1826 | { |
---|
| 1827 | int texdemopart =0; |
---|
| 1828 | export texdemopart; |
---|
| 1829 | |
---|
| 1830 | |
---|
| 1831 | // Singular script for generating tldemo.tex |
---|
[917fb5] | 1832 | |
---|
[ae4196] | 1833 | string nl = newline; |
---|
| 1834 | string nl2 = newline + newline; |
---|
| 1835 | string lb = "\\\\"; |
---|
| 1836 | string bv = "\\begin{verbatim}" + newline ; |
---|
| 1837 | string ev = "\\end{verbatim}" ; |
---|
| 1838 | |
---|
[5bc214c] | 1839 | // "generating part0 of " + fname + nl; |
---|
[ae4196] | 1840 | |
---|
| 1841 | opentex(fname); |
---|
| 1842 | |
---|
| 1843 | write(fname,"\\newcommand{\\Line}{\\rule{\\textwidth}{0.25mm}\\\\[5mm]}"); |
---|
| 1844 | |
---|
[2301b7] | 1845 | write(fname,"\\centerline{\\large \\bf Demo file for latex.lib }"); |
---|
| 1846 | write(fname,"\\centerline{07/05/3}"); |
---|
[ae4196] | 1847 | write(fname,"\\vspace{1cm}"); |
---|
| 1848 | |
---|
| 1849 | //-- |
---|
| 1850 | |
---|
| 1851 | write(fname,"\\section{Introduction}"); |
---|
[651b46] | 1852 | write(fname,"The procedures in \\verb|latex.lib| translate the output of |
---|
[b6b6153] | 1853 | {\\sc Singular} into \\LaTeX \\ text. |
---|
| 1854 | This document illustrates the functionality of the library."+"\\\\" + nl); |
---|
[5bc214c] | 1855 | write(fname,"\\begin{tabular}{ll}" + nl + |
---|
[3c4dcc] | 1856 | "LIBRARY: {\\tt latex.lib} & PROCEDURES FOR TYPESETTING SINGULAR" + |
---|
[5bc214c] | 1857 | "\\\\" + nl + |
---|
| 1858 | " & OBJECTS IN LATEX2E"+ |
---|
| 1859 | "\\\\" + nl + |
---|
| 1860 | "{\\tt closetex(fnm);} & writes closing line for \\LaTeX-document"+ |
---|
| 1861 | "\\\\" + nl + |
---|
| 1862 | "{\\tt opentex(fnm);} & writes header for \\LaTeX-file fnm"+ |
---|
| 1863 | "\\\\" + nl + |
---|
| 1864 | "{\\tt tex(fnm);} & calls \\LaTeX2e for file fnm"+ |
---|
| 1865 | "\\\\" + nl + |
---|
| 1866 | "{\\tt texdemo([n]);} & produces a file explaining the features of this lib"+ |
---|
| 1867 | "\\\\" + nl + |
---|
[3c4dcc] | 1868 | "{\\tt texfactorize(fnm,f);} & creates string in \\LaTeX-format for |
---|
[5bc214c] | 1869 | factors of poly f"+ "\\\\" + nl + |
---|
| 1870 | "{\\tt texmap(fnm,m,r1,r2);} & creates string in \\LaTeX-format for |
---|
| 1871 | map m:r1$\\rightarrow$r2"+ "\\\\" + nl + |
---|
[3c4dcc] | 1872 | "{\\tt texname(fnm,s);} & creates string in \\LaTeX-format for |
---|
[5bc214c] | 1873 | identifier"+ "\\\\" + nl + |
---|
| 1874 | "{\\tt texobj(l);} & creates string in \\LaTeX-format for |
---|
| 1875 | any (basic) type"+ "\\\\" + nl + |
---|
| 1876 | "{\\tt texpoly(f,n[,l]);} & creates string in \\LaTeX-format for poly"+ |
---|
| 1877 | "\\\\" + nl + |
---|
| 1878 | "{\\tt texproc(fnm,p);} & creates string in \\LaTeX-format of |
---|
| 1879 | text from proc p"+ "\\\\" + nl + |
---|
[3c4dcc] | 1880 | "{\\tt texring(fnm,r[,l]);} & creates string in \\LaTeX-lformat for |
---|
[5bc214c] | 1881 | ring/qring"+ "\\\\" + nl + |
---|
| 1882 | "{\\tt rmx(s);} & removes .aux and .log files of \\LaTeX-files"+ |
---|
| 1883 | "\\\\" + nl + |
---|
| 1884 | "{\\tt xdvi(s);} & calls xdvi for dvi-files"+ |
---|
| 1885 | "\\\\" + nl + |
---|
| 1886 | " \\end{tabular} " + nl2 + "\\vspace{0.2cm}" + nl2 + |
---|
| 1887 | "(parameters in square brackets {\\tt [ ]} are optional)"+ |
---|
| 1888 | "\\\\" + nl2 + "\\vspace{0.2cm}" + nl2 + |
---|
| 1889 | "The global variables {\\tt TeXwidth}, {\\tt TeXnofrac}, {\\tt |
---|
[3c4dcc] | 1890 | TeXbrack}, {\\tt TeXproj}, {\\tt TeXaligned}, {\\tt TeXreplace}, {\\tt |
---|
[5bc214c] | 1891 | NoDollars} are used to control the typesetting: " |
---|
| 1892 | ); |
---|
[ae4196] | 1893 | |
---|
| 1894 | write(fname, |
---|
| 1895 | bv + |
---|
| 1896 | " |
---|
[5bc214c] | 1897 | TeXwidth (int) -1, 0, 1..9, >9: controls breaking of long polynomials |
---|
| 1898 | TeXnofrac (int) flag: write 1/2 instead of \\frac{1}{2} |
---|
| 1899 | TeXbrack (string) \"{\", \"(\", \"<\", \"|\", empty string: |
---|
| 1900 | controls brackets around ideals and matrices |
---|
| 1901 | TeXproj (int) flag: write \":\" instead of \",\" in vectors |
---|
| 1902 | TeXaligned (int) flag: write mappings (and ideals) aligned |
---|
| 1903 | TeXreplace (list) list entries = 2 strings: replacing symbols |
---|
| 1904 | NoDollars (int) flag: suppresses surrounding $ signs |
---|
[917fb5] | 1905 | |
---|
[ae4196] | 1906 | " + |
---|
| 1907 | ev); |
---|
[b6b6153] | 1908 | write(fname,"Notice that none of these global variables are defined when |
---|
| 1909 | loading \\verb|latex.lib|. A flag variable is set as soon as it is defined."); |
---|
[3c4dcc] | 1910 | |
---|
[ae4196] | 1911 | |
---|
| 1912 | //% The procs and |
---|
| 1913 | //% the global variables |
---|
| 1914 | |
---|
| 1915 | //----------------------- opentex ----------------------------- |
---|
| 1916 | write(fname,"\\section{Opening a \\LaTeX\\ file}"); |
---|
[b6b6153] | 1917 | write(fname,"In order to create a \\LaTeX\\ document and write a standard |
---|
[3c4dcc] | 1918 | header into it, use the following command."+ |
---|
[b6b6153] | 1919 | bv+ |
---|
| 1920 | "> string fname = \"" + fname + "\";" + nl + |
---|
[3c4dcc] | 1921 | "> texopen(fname);" + |
---|
[b6b6153] | 1922 | ev + nl); |
---|
| 1923 | |
---|
| 1924 | write(fname,"The variable \\verb|fname| is always the first argument when |
---|
| 1925 | calling one of the procedures of \\verb|latex.lib|. If this string is the |
---|
| 1926 | empty string, then the output in not written into a file but displayed on |
---|
| 1927 | the screen."); |
---|
[6a7528] | 1928 | |
---|
[ae4196] | 1929 | //% opentex, defaulted to latex, possibly extension are ... and |
---|
[6a7528] | 1930 | //% ``own'' |
---|
[ae4196] | 1931 | |
---|
| 1932 | |
---|
| 1933 | pagewidth = 65; |
---|
[651b46] | 1934 | int TeXwidth = 100; export TeXwidth; |
---|
[5bc214c] | 1935 | // "part 0 generated " + nl; |
---|
[ae4196] | 1936 | } //part0 |
---|
| 1937 | |
---|
| 1938 | |
---|
| 1939 | ///////////////////////////// PART1 ////////////////////////////////////////// |
---|
| 1940 | |
---|
| 1941 | |
---|
[651b46] | 1942 | static proc part1(string fname) |
---|
[3c4dcc] | 1943 | { |
---|
[5bc214c] | 1944 | |
---|
| 1945 | int st = defined(texdemopart); |
---|
| 1946 | string nl = newline; |
---|
| 1947 | string nl2 = newline + newline; |
---|
| 1948 | string lb = "\\\\"; |
---|
| 1949 | string bv = "\\begin{verbatim}" + newline ; |
---|
| 1950 | string ev = "\\end{verbatim}" ; |
---|
[ae4196] | 1951 | |
---|
| 1952 | if (not(st) or texdemopart>=1) |
---|
| 1953 | { print(" Call part0 first"); |
---|
| 1954 | return(); |
---|
| 1955 | } |
---|
| 1956 | else { texdemopart=1; } |
---|
[6a7528] | 1957 | |
---|
[5bc214c] | 1958 | //"Continuing part1 of " + fname + nl; |
---|
[ae4196] | 1959 | |
---|
| 1960 | write(fname, |
---|
[b6b6153] | 1961 | "\\section{Rings, polynomials and ideals}"+nl2); |
---|
[ae4196] | 1962 | |
---|
| 1963 | // -1a------ a ring in char 0, short varnames and poly. ordering ---------- |
---|
| 1964 | write(fname, |
---|
[3c4dcc] | 1965 | " A ring in characteristic 0 with short names of variables and polynomial |
---|
[b6b6153] | 1966 | ordering." +nl); |
---|
[d6cc54] | 1967 | ring r0=0,(x,y,z),dp; |
---|
[5bc214c] | 1968 | poly g=-x2y+2y13z+1; |
---|
[ae4196] | 1969 | write(fname, |
---|
| 1970 | bv + |
---|
[5bc214c] | 1971 | "> ring r0=0,(x,y,z),dp;" +nl+ |
---|
| 1972 | "> texring(fname,r0);" + |
---|
| 1973 | ev); |
---|
[3c4dcc] | 1974 | texring(fname,r0); |
---|
[5bc214c] | 1975 | write(fname,nl2); |
---|
| 1976 | write(fname, |
---|
| 1977 | bv + |
---|
[b6b6153] | 1978 | "> poly g=-x2y+2y13z+1; g;" + nl + |
---|
[5bc214c] | 1979 | "> texpoly(fname,g);" +nl + |
---|
| 1980 | ev); |
---|
[3c4dcc] | 1981 | texpoly(fname,g); |
---|
[5bc214c] | 1982 | write(fname,"\\\\"+nl2); |
---|
| 1983 | |
---|
[ae4196] | 1984 | // write(fname,"\\Line"); |
---|
| 1985 | |
---|
[5bc214c] | 1986 | // -1b------ still in the same ring, a poly with rational coefs -------- |
---|
[ae4196] | 1987 | write(fname, |
---|
[5bc214c] | 1988 | " A polynomial with rational coefficients. |
---|
[ae4196] | 1989 | " +nl); |
---|
| 1990 | write(fname, |
---|
| 1991 | bv + |
---|
[5bc214c] | 1992 | "> texpoly(fname,g/280);" +nl + |
---|
[ae4196] | 1993 | ev |
---|
[6a7528] | 1994 | ); |
---|
[3c4dcc] | 1995 | texpoly(fname,g/280); |
---|
[5bc214c] | 1996 | kill r0; |
---|
[3c4dcc] | 1997 | |
---|
[5bc214c] | 1998 | write(fname,"\\\\"+nl2); |
---|
[ae4196] | 1999 | write(fname,"\\Line"); |
---|
| 2000 | // -2-------- a ring in char 7, indexed varnames and series ordering ---------- |
---|
| 2001 | write(fname, |
---|
[3c4dcc] | 2002 | " A ring in characteristic 7 with indexed names of variables and local |
---|
[5bc214c] | 2003 | ordering." +nl); |
---|
[d6cc54] | 2004 | ring r1=7,(x1,x2,x3,x4),Ds; |
---|
[3c4dcc] | 2005 | poly g=-2*x1+x4-1; |
---|
[ae4196] | 2006 | write(fname, |
---|
| 2007 | bv + |
---|
[3c4dcc] | 2008 | "> ring r1=7,(x1,x2,x3,x4),Ds;" +nl + |
---|
[5bc214c] | 2009 | "> texring(fname,r1);" +nl + |
---|
| 2010 | ev); |
---|
[3c4dcc] | 2011 | texring(fname,r1); |
---|
[5bc214c] | 2012 | write(fname,lb); |
---|
| 2013 | |
---|
| 2014 | write(fname, bv + |
---|
[3c4dcc] | 2015 | "> poly g=-2*x1+x4-1; g;" +nl + |
---|
[5bc214c] | 2016 | "> texpoly(fname,g);" +nl + |
---|
| 2017 | ev); |
---|
| 2018 | |
---|
| 2019 | texpoly(fname,g); |
---|
[3c4dcc] | 2020 | |
---|
[5bc214c] | 2021 | write(fname,lb); |
---|
[ae4196] | 2022 | write(fname,"\\Line"); |
---|
| 2023 | |
---|
[5bc214c] | 2024 | // -3-------- a ring in char 0, indexed varnames and local ordering ---------- |
---|
[ae4196] | 2025 | write(fname, |
---|
[3c4dcc] | 2026 | " A ring in characteristic 0 with indexed names of variables and local |
---|
[5bc214c] | 2027 | ordering. |
---|
[ae4196] | 2028 | " +nl); |
---|
[5bc214c] | 2029 | ring r2=0,(x(1..5),y(1..2)),(ds(5),ls(2)); |
---|
[b6b6153] | 2030 | poly g=-y(1)^3*x(5) +y(1)*x(2); |
---|
| 2031 | write(fname, |
---|
| 2032 | bv + |
---|
| 2033 | "> ring r2=0,(x(1..5),y(1..2)),(ds(5),ls(2));" + nl + |
---|
| 2034 | "> texring(fname,r2);" +nl + |
---|
| 2035 | ev); |
---|
[3c4dcc] | 2036 | texring(fname,r2); |
---|
[b6b6153] | 2037 | |
---|
[ae4196] | 2038 | write(fname, |
---|
| 2039 | bv + |
---|
[b6b6153] | 2040 | "> poly g=-y(1)^3*x(5)+y(1)*x(2); g;" +nl+ |
---|
[3c4dcc] | 2041 | string(g) + nl + |
---|
[b6b6153] | 2042 | "> texpoly(fname,g);" +nl + |
---|
[917fb5] | 2043 | ev |
---|
| 2044 | ); |
---|
[3c4dcc] | 2045 | texpoly(fname,g); |
---|
[b6b6153] | 2046 | write(fname,lb); |
---|
[3c4dcc] | 2047 | |
---|
[ae4196] | 2048 | write(fname,"\\Line"); |
---|
| 2049 | |
---|
| 2050 | // -4-------- a ring in char 0, indexed varnames and weighted ordering ------ |
---|
| 2051 | write(fname, |
---|
[b6b6153] | 2052 | " A ring in characteristic 0 with indexed names of variables and weighted |
---|
| 2053 | ordering." +nl); |
---|
[d6cc54] | 2054 | ring r3=0,(x_1,x_2,x_3),wp(3,2,1); |
---|
[b6b6153] | 2055 | poly g=-x_1*x_2+2*x_2*x_3+x_1*x_3; |
---|
[ae4196] | 2056 | write(fname, |
---|
| 2057 | bv + |
---|
[b6b6153] | 2058 | "> ring r3=0,(x_1,x_2,x_3),wp(3,2,1);" +nl+ |
---|
| 2059 | "> texring(fname,r3);" +nl + |
---|
| 2060 | ev); |
---|
| 2061 | texring(fname,r3); |
---|
| 2062 | write(fname, |
---|
| 2063 | bv + |
---|
| 2064 | "> poly g=-x_1*x_2+2*x_2*x_3+x_1*x_3; g;" +nl+ |
---|
[917fb5] | 2065 | string(g) + nl + |
---|
[b6b6153] | 2066 | "> texpoly(fname,g);" +nl + |
---|
[ae4196] | 2067 | ev |
---|
[917fb5] | 2068 | ); |
---|
[b6b6153] | 2069 | texpoly(fname,g); write(fname,lb); |
---|
[3c4dcc] | 2070 | |
---|
[ae4196] | 2071 | write(fname,"\\Line"); |
---|
| 2072 | |
---|
| 2073 | // -5-------- a ring with real coeff and matrix ordering ------------------- |
---|
| 2074 | write(fname, |
---|
| 2075 | " A ring with real coefficients and matrix ordering. |
---|
| 2076 | " +nl); |
---|
[b6b6153] | 2077 | ring rr=real,(x,y),M(1,2,3,4); |
---|
| 2078 | poly g =-1.2e-10*x2+y+1; |
---|
[ae4196] | 2079 | write(fname, |
---|
| 2080 | bv + |
---|
[b6b6153] | 2081 | "> ring rr=real,(x,y),M(1,2,3,4);"+nl+ |
---|
| 2082 | "> texring(fname,rr);"+nl+ |
---|
| 2083 | ev); |
---|
| 2084 | texring(fname,rr); |
---|
| 2085 | |
---|
| 2086 | write(fname, |
---|
| 2087 | bv + |
---|
| 2088 | "> poly g=-1.2e-10*x2+y+1; g;"+nl+ |
---|
| 2089 | string(g) + nl + |
---|
| 2090 | "> texpoly(fname,g);" +nl + |
---|
| 2091 | ev); |
---|
| 2092 | texpoly(fname,g); write(fname,lb); |
---|
| 2093 | |
---|
[ae4196] | 2094 | write(fname,"\\Line"); |
---|
| 2095 | |
---|
| 2096 | // -6a-------- a ring in char 0, and indexed parameters --------- ---------- |
---|
| 2097 | write(fname, |
---|
| 2098 | " A ring in characteristic 0 and indexed parameters. |
---|
| 2099 | " +nl); |
---|
[917fb5] | 2100 | ring r0t=(0,s,t),(x,y),dp; |
---|
[b6b6153] | 2101 | poly g=8*(-s+2t)/(st+t3)*x+t2*x-1; |
---|
[ae4196] | 2102 | write(fname, |
---|
| 2103 | bv + |
---|
[b6b6153] | 2104 | "> ring r0t=(0,s,t),(x,y),dp;" +nl + |
---|
| 2105 | "> texring(fname,r0t);" +nl + |
---|
| 2106 | ev); |
---|
| 2107 | texring(fname,r0t); |
---|
[3c4dcc] | 2108 | write(fname, |
---|
[b6b6153] | 2109 | bv + |
---|
| 2110 | "> poly g=8*(-s+2t)/(st+t3)*x+t2*x-1; g;"+nl+ |
---|
| 2111 | string(g) +nl + |
---|
| 2112 | "> texpoly(fname,g);" +nl + |
---|
| 2113 | ev); |
---|
| 2114 | texpoly(fname,g); write(fname,lb); |
---|
[ae4196] | 2115 | write(fname,"\\Line"); |
---|
| 2116 | |
---|
[651b46] | 2117 | // -6b------- a ring in char 11003, and indexed parameters --------- ---------- |
---|
[ae4196] | 2118 | write(fname, |
---|
| 2119 | " A ring in characteristic 11 and indexed parameters. |
---|
| 2120 | " +nl); |
---|
[917fb5] | 2121 | ring rt=(11003,t1,t2,t3),(X,Y),dp; |
---|
[b6b6153] | 2122 | poly g=8*(-t1+t2)/(t1+t3)*X+t2*Y-1; |
---|
[ae4196] | 2123 | write(fname, |
---|
| 2124 | bv + |
---|
[b6b6153] | 2125 | "> ring rt=(11003,t1,t2,t3),(X,Y),dp;" +nl + |
---|
| 2126 | "> texring(fname,rt);" +nl+ |
---|
| 2127 | ev); |
---|
| 2128 | texring(fname,rt); |
---|
| 2129 | |
---|
| 2130 | write(fname, |
---|
| 2131 | bv + |
---|
| 2132 | "> poly g=8*(-t1+t2)/(t1+t3)*X+t2*Y-1; g;" + nl+ |
---|
| 2133 | string(g) +nl + |
---|
| 2134 | "> texpoly(fname,g);" +nl + |
---|
| 2135 | ev); |
---|
| 2136 | texpoly(fname,g); write(fname,lb); |
---|
| 2137 | |
---|
[ae4196] | 2138 | write(fname,"\\Line"); |
---|
| 2139 | |
---|
| 2140 | // -7-------- a ring over an algebraic extension in char 7 --------------- |
---|
| 2141 | write(fname, |
---|
| 2142 | " A ring over an algebraic extension in char 7. |
---|
| 2143 | " +nl); |
---|
[5bc214c] | 2144 | |
---|
| 2145 | ring ralg = (7,a),x,dp; |
---|
| 2146 | minpoly = a2-a+3; |
---|
| 2147 | poly g = -(2a13+a)*x2+a2*x-a+1; |
---|
| 2148 | |
---|
[ae4196] | 2149 | write(fname, |
---|
| 2150 | bv + |
---|
[b6b6153] | 2151 | "> ring ralg=(7,a),x,dp;" +nl + |
---|
| 2152 | "> minpoly=a2-a+3;" +nl + |
---|
| 2153 | "> texring(fname,ralg);" +nl+ |
---|
| 2154 | ev); |
---|
| 2155 | texring(fname,ralg); |
---|
| 2156 | |
---|
| 2157 | write(fname, |
---|
| 2158 | bv + |
---|
| 2159 | "> poly g=-(2a13+a)*x2+a2*x-a+1; g;"+nl+ |
---|
| 2160 | string(g) +nl + |
---|
| 2161 | "> texpoly(fname,g);" +nl + |
---|
[ae4196] | 2162 | ev |
---|
[917fb5] | 2163 | ); |
---|
[b6b6153] | 2164 | texpoly(fname,g); write(fname,lb); |
---|
| 2165 | |
---|
[ae4196] | 2166 | write(fname,"\\Line"); |
---|
| 2167 | |
---|
| 2168 | // -8-------- the same ring a in 7 ralg, defined with gftables -- F_49 ------- |
---|
| 2169 | write(fname, |
---|
[917fb5] | 2170 | " A ring defined with \\verb|gftables|, the same as \\verb|ralg| before, but |
---|
[b6b6153] | 2171 | with primitive element in the Galois field $\\F_{49}$." +nl); |
---|
[d6cc54] | 2172 | ring r49 =(49,a),x,dp; |
---|
[b6b6153] | 2173 | poly g=-(2a13+a)*x2+a2*x-a+1; |
---|
[ae4196] | 2174 | write(fname, |
---|
| 2175 | bv + |
---|
[b6b6153] | 2176 | "> ring r49 =(49,a),x,dp;" +nl+ |
---|
| 2177 | "> texring(fname,r49);" +nl+ |
---|
| 2178 | ev); |
---|
| 2179 | texring(fname,r49); |
---|
| 2180 | |
---|
| 2181 | write(fname, |
---|
[3c4dcc] | 2182 | bv + |
---|
[b6b6153] | 2183 | "> poly g=-(2a13+a)*x2+a2*x-a+1; g;" +nl+ |
---|
| 2184 | string(g) +nl + |
---|
| 2185 | "> texpoly(fname,g);" +nl + |
---|
| 2186 | ev); |
---|
| 2187 | texpoly(fname,g); write(fname,lb); |
---|
| 2188 | |
---|
[ae4196] | 2189 | write(fname,"\\Line"); |
---|
| 2190 | |
---|
| 2191 | // -9-------- a ring over the Gaussian numbers ---------- |
---|
| 2192 | write(fname, |
---|
| 2193 | " A ring over the Gaussian numbers. |
---|
| 2194 | " +nl); |
---|
| 2195 | ring ri=(0,i),(x,y,z),ls; |
---|
[b6b6153] | 2196 | minpoly=i2+1; |
---|
| 2197 | poly g=-(i+1)*x+2i2y2+i+x; |
---|
[ae4196] | 2198 | write(fname, |
---|
| 2199 | bv + |
---|
[b6b6153] | 2200 | "> ring ri=(0,i),(x,y,z),ls;" +nl + |
---|
| 2201 | "> minpoly=i2+1;" +nl + |
---|
| 2202 | "> texring(fname,ri);" +nl+ |
---|
| 2203 | ev); |
---|
| 2204 | texring(fname,ri); |
---|
| 2205 | |
---|
| 2206 | write(fname, |
---|
[3c4dcc] | 2207 | bv + |
---|
[b6b6153] | 2208 | "> poly g=-(i+1)*x+2i2y2+i+x; g;" +nl+ |
---|
| 2209 | string(g) +nl + |
---|
| 2210 | "> texpoly(fname,g);" +nl + |
---|
[ae4196] | 2211 | ev |
---|
[917fb5] | 2212 | ); |
---|
[b6b6153] | 2213 | texpoly(fname,g); write(fname,lb); |
---|
| 2214 | |
---|
[ae4196] | 2215 | write(fname,"\\Line"); |
---|
| 2216 | |
---|
| 2217 | // -10--------- a quotient ring performed from ---------- |
---|
| 2218 | write(fname, |
---|
[b6b6153] | 2219 | " A quotient ring performed of \\verb|r0| by an ideal |
---|
[ae4196] | 2220 | " +nl); |
---|
[5bc214c] | 2221 | ring r0=0,(x,y,z),dp; |
---|
[917fb5] | 2222 | ideal I = x2-y,y+z2, xy; |
---|
[ae4196] | 2223 | I = std(I); |
---|
| 2224 | string sI = string(I); |
---|
| 2225 | qring qr = I; |
---|
| 2226 | write(fname, |
---|
| 2227 | bv + |
---|
[b6b6153] | 2228 | "> setring r0;" +nl + |
---|
| 2229 | "> ideal I=x2-y,y+z2, xy;" +nl + |
---|
| 2230 | "> I=std(I);" +nl + |
---|
| 2231 | "> string(I);" + nl + |
---|
[ae4196] | 2232 | splt(sI) + nl + |
---|
[b6b6153] | 2233 | "> qring qr=I;"+ nl+ |
---|
| 2234 | "> texring(fname,qr);" + |
---|
[ae4196] | 2235 | ev |
---|
[917fb5] | 2236 | ); |
---|
[b6b6153] | 2237 | texring(fname,qr); write(fname,lb); |
---|
[ae4196] | 2238 | |
---|
| 2239 | write(fname,"\\Line"); |
---|
| 2240 | |
---|
| 2241 | // ------------------------- Features for rings |
---|
| 2242 | |
---|
| 2243 | write(fname,"\\subsection{Features for rings}"); |
---|
| 2244 | |
---|
[b6b6153] | 2245 | write(fname, |
---|
| 2246 | "In many cases it might be convenient to change the standard typesetting |
---|
| 2247 | of rings. This can be done by passing additional arguments to \\verb|texring|." |
---|
| 2248 | +nl); |
---|
[ae4196] | 2249 | |
---|
| 2250 | // changing the brackets |
---|
| 2251 | |
---|
[b6b6153] | 2252 | write(fname,nl,"In order to change the displayed brackets one has to give |
---|
| 2253 | the desired ones as additional argument (accepted brackets are: \\verb|\"\{\"|, |
---|
| 2254 | \\verb|\"\{\{\"|,\\verb|\"[\"|,\\verb|\"[[\"|,\\verb|\"<\"|,\\verb|\"<<\"|)."); |
---|
[ae4196] | 2255 | |
---|
| 2256 | write(fname, |
---|
| 2257 | bv + |
---|
[917fb5] | 2258 | "> texring(fname,rr,\"{{\");" + nl + |
---|
[ae4196] | 2259 | ev |
---|
[917fb5] | 2260 | ); |
---|
[ae4196] | 2261 | |
---|
| 2262 | texring(fname,rr,"{{"); |
---|
| 2263 | |
---|
| 2264 | write(fname, |
---|
| 2265 | bv + |
---|
[917fb5] | 2266 | "> texring(fname,r2,\"[\");" + nl + |
---|
[ae4196] | 2267 | ev |
---|
[917fb5] | 2268 | ); |
---|
[ae4196] | 2269 | |
---|
| 2270 | texring(fname,r2,"["); |
---|
| 2271 | |
---|
[b6b6153] | 2272 | write(fname,nl+"\\vspace{0.2cm}" + nl2); |
---|
[ae4196] | 2273 | |
---|
[b6b6153] | 2274 | write(fname,"The brackets around the ideal in a quotient ring can be |
---|
| 2275 | changed by setting the global variable \\verb|TeXbrack| (see section |
---|
| 2276 | {\\tt Ideals}).",nl); |
---|
[ae4196] | 2277 | |
---|
| 2278 | |
---|
| 2279 | write(fname, |
---|
| 2280 | bv + |
---|
[b6b6153] | 2281 | "> string TeXbrack = \"<\";" +nl + |
---|
| 2282 | "> texring(fname,qr);" +nl + |
---|
[ae4196] | 2283 | ev |
---|
[917fb5] | 2284 | ); |
---|
[ae4196] | 2285 | |
---|
[b6b6153] | 2286 | string TeXbrack = "<"; export TeXbrack; |
---|
| 2287 | texring(fname,qr); |
---|
| 2288 | kill TeXbrack; |
---|
| 2289 | |
---|
| 2290 | write(fname, |
---|
| 2291 | bv + |
---|
| 2292 | "> kill TeXbrack;" + nl + |
---|
| 2293 | ev); |
---|
| 2294 | |
---|
[ae4196] | 2295 | |
---|
| 2296 | write(fname,nl2,"\\Line"); |
---|
| 2297 | |
---|
[b6b6153] | 2298 | // changing the ground field |
---|
[ae4196] | 2299 | // ------------------------------------------------- |
---|
| 2300 | |
---|
[b6b6153] | 2301 | write(fname, |
---|
| 2302 | "It is possible to display a ground field different from the |
---|
| 2303 | actual one by passing any letter in \\LaTeX \\ notation as additional |
---|
[3c4dcc] | 2304 | argument. Predefined values are \\verb|\"\\\\C\"|, \\verb|\"\\\\R\"|, |
---|
[b6b6153] | 2305 | \\verb|\"k\"|, \\verb|\"K\"| and \\verb|\"R\"|."+nl+ |
---|
| 2306 | "If for example a ground field of characteristic 0 should be written as |
---|
| 2307 | $\\C$ instead of $\\Q$ use this as additonal argument.",nl); |
---|
[ae4196] | 2308 | |
---|
| 2309 | write(fname, |
---|
| 2310 | bv + |
---|
[917fb5] | 2311 | "> texring(fname,r3,\"\\\\C\");" + nl + |
---|
[b6b6153] | 2312 | ev); |
---|
[ae4196] | 2313 | |
---|
| 2314 | texring(fname,r3,"\\C"); |
---|
[b6b6153] | 2315 | write(fname,nl+ "\\vspace{0.2cm}" + nl2); |
---|
[ae4196] | 2316 | |
---|
[b6b6153] | 2317 | write(fname,"The values \\verb|\"k\"|, \\verb|\"K\"|, \\verb|\"R\"| play a |
---|
| 2318 | special role when the ground field is an algebraic extension. In this case |
---|
| 2319 | the parameters will be omitted."); |
---|
[3c4dcc] | 2320 | |
---|
[ae4196] | 2321 | write(fname, |
---|
| 2322 | bv + |
---|
[917fb5] | 2323 | "> texring(fname,ralg,\"k\");" + nl + |
---|
[ae4196] | 2324 | ev |
---|
[917fb5] | 2325 | ); |
---|
[ae4196] | 2326 | |
---|
| 2327 | texring(fname, ralg,"k"); |
---|
[b6b6153] | 2328 | write(fname,nl+"\\vspace{0.2cm}" + nl2); |
---|
[917fb5] | 2329 | |
---|
[b6b6153] | 2330 | write(fname,"If an algebraic extension should be displayed together with |
---|
| 2331 | its minimal polynomial the optional parameter \\verb|mipo| has to be used."); |
---|
[651b46] | 2332 | |
---|
| 2333 | write(fname, |
---|
| 2334 | bv + |
---|
[917fb5] | 2335 | "> texring(fname,ralg,\"mipo\");" + nl + |
---|
[651b46] | 2336 | ev |
---|
[917fb5] | 2337 | ); |
---|
[651b46] | 2338 | |
---|
| 2339 | texring(fname, ralg,"mipo"); |
---|
[ae4196] | 2340 | write(fname,nl,"\\Line"); |
---|
[b6b6153] | 2341 | |
---|
[ae4196] | 2342 | // displaying only certain vars |
---|
| 2343 | |
---|
[b6b6153] | 2344 | write(fname,"By default all variables of a ring will be displayed. It is |
---|
| 2345 | possible to print only certain variables with $\\ldots$ between |
---|
| 2346 | them. The positions of the variables which should be displayed have to be |
---|
| 2347 | passed to \\verb|texring| as an \\verb|intvec|."); |
---|
[ae4196] | 2348 | |
---|
| 2349 | write(fname, |
---|
| 2350 | bv + |
---|
[b6b6153] | 2351 | "> intvec v=5,6; |
---|
| 2352 | > texring(fname,r2,v);" +nl + |
---|
[ae4196] | 2353 | ev |
---|
[917fb5] | 2354 | ); |
---|
[ae4196] | 2355 | |
---|
[b6b6153] | 2356 | intvec v = 5,6; |
---|
| 2357 | texring(fname,r2,v); |
---|
| 2358 | kill v; |
---|
| 2359 | |
---|
| 2360 | write(fname, |
---|
| 2361 | bv + |
---|
| 2362 | "> kill v;" + nl + |
---|
| 2363 | ev |
---|
| 2364 | ); |
---|
[ae4196] | 2365 | |
---|
[b6b6153] | 2366 | write(fname,nl+ "\\vspace{0.2cm}" + nl2); |
---|
[3c4dcc] | 2367 | |
---|
[b6b6153] | 2368 | write(fname,"The first and the last variable will always be printed. |
---|
| 2369 | In order to print only these it is sufficient to give a 1 as third argument."); |
---|
[ae4196] | 2370 | |
---|
| 2371 | write(fname, |
---|
| 2372 | bv + |
---|
[917fb5] | 2373 | "> texring(fname,r1,1);" + nl + |
---|
[ae4196] | 2374 | ev |
---|
[917fb5] | 2375 | ); |
---|
[ae4196] | 2376 | texring(fname,r1,1); |
---|
| 2377 | |
---|
[b6b6153] | 2378 | write(fname,nl2,"\\Line"); |
---|
[ae4196] | 2379 | |
---|
[b6b6153] | 2380 | // invariant ring under a group action |
---|
[ae4196] | 2381 | |
---|
[b6b6153] | 2382 | write(fname,"If you want for example to display a ring as the invariant ring |
---|
| 2383 | under a group, additional information starting with \\verb|^| may be added."); |
---|
[ae4196] | 2384 | |
---|
| 2385 | write(fname, |
---|
| 2386 | bv + |
---|
[917fb5] | 2387 | "> texring(fname,r0,\"^G\");" + nl + |
---|
[ae4196] | 2388 | ev |
---|
[917fb5] | 2389 | ); |
---|
[ae4196] | 2390 | |
---|
| 2391 | texring(fname, r0,"^G"); |
---|
[b6b6153] | 2392 | write(fname,nl2,"\\Line"); |
---|
[917fb5] | 2393 | |
---|
[b6b6153] | 2394 | // passing several optional arguments at once |
---|
| 2395 | |
---|
| 2396 | write(fname,"It is also possible to pass several of the arguments described |
---|
| 2397 | above at once (in any order)."); |
---|
[3c4dcc] | 2398 | |
---|
[ae4196] | 2399 | |
---|
| 2400 | write(fname, |
---|
| 2401 | bv + |
---|
[b6b6153] | 2402 | "> texring(fname,r3,\"\\\\R\",\"{{\",\"^G\");" + nl + |
---|
[ae4196] | 2403 | ev |
---|
[917fb5] | 2404 | ); |
---|
[ae4196] | 2405 | |
---|
[b6b6153] | 2406 | texring(fname, r3,"\\R","{{","^G"); |
---|
[ae4196] | 2407 | write(fname,nl2); |
---|
[5bc214c] | 2408 | //"end part 1" + nl; |
---|
[ae4196] | 2409 | } |
---|
| 2410 | |
---|
| 2411 | |
---|
| 2412 | ///////////////////////////// PART2 ////////////////////////////////////////// |
---|
| 2413 | |
---|
| 2414 | |
---|
[651b46] | 2415 | static proc part2(string fname) |
---|
[3c4dcc] | 2416 | { |
---|
[5bc214c] | 2417 | |
---|
| 2418 | int st = defined(texdemopart); |
---|
| 2419 | string nl = newline; |
---|
| 2420 | string nl2 = newline + newline; |
---|
| 2421 | string lb = "\\\\"; |
---|
| 2422 | string bv = "\\begin{verbatim}" + newline ; |
---|
| 2423 | string ev = "\\end{verbatim}" ; |
---|
[ae4196] | 2424 | |
---|
| 2425 | if (not(st) or texdemopart>=2) |
---|
| 2426 | { print(" Call part1 first"); |
---|
| 2427 | return(); |
---|
| 2428 | } |
---|
| 2429 | else { texdemopart=2; } |
---|
[917fb5] | 2430 | |
---|
[5bc214c] | 2431 | // "Continuing Part2 of " + fname + nl; |
---|
[ae4196] | 2432 | |
---|
| 2433 | //-------------------- texfactorize ------------------------------ |
---|
| 2434 | write(fname,"\\subsection{Factorized polynomials}"); |
---|
| 2435 | |
---|
[3c4dcc] | 2436 | write(fname,"The command \\verb|texfactorize| calls internally the |
---|
| 2437 | {\\sc Singular} command \\verb|factorize| and returns the product of the |
---|
| 2438 | irreducible factors. Note that, at the moment, it is not possible to pass |
---|
[b6b6153] | 2439 | any optional arguments for \\verb|factorize| through \\verb|texfactorize|."); |
---|
[ae4196] | 2440 | |
---|
[5bc214c] | 2441 | ring r0=0,(x,y,z),dp; |
---|
[b6b6153] | 2442 | poly h=(x+1+y)^2*x3y*(2x-2y)*y12; |
---|
[5bc214c] | 2443 | |
---|
[ae4196] | 2444 | write(fname, |
---|
| 2445 | bv + |
---|
[b6b6153] | 2446 | "> setring r0;"+nl+ |
---|
| 2447 | "> poly h=(x+1+y)^2*x3y*(2x-2y)*y12;"+nl+ |
---|
| 2448 | "> h;" +nl+ |
---|
| 2449 | splt(string(h)) + nl + |
---|
| 2450 | "> texfactorize(fname,h);" + |
---|
[ae4196] | 2451 | ev); |
---|
[b6b6153] | 2452 | texfactorize(fname,h); |
---|
[5bc214c] | 2453 | |
---|
| 2454 | // setring ralg; |
---|
| 2455 | ring ralg = (7,a),x,dp; |
---|
| 2456 | minpoly = a2-a+3; |
---|
| 2457 | poly h = (a24x5+x3)*a2x6*(x+1)^2; |
---|
[ae4196] | 2458 | |
---|
| 2459 | write(fname, |
---|
| 2460 | bv + |
---|
[b6b6153] | 2461 | "> setring ralg;"+nl+ |
---|
| 2462 | "> poly h=(a24x5+x3)*a2x6*(x+1)^2;" +nl+ |
---|
| 2463 | "> h;"+ nl + |
---|
| 2464 | splt(string(h)) + nl + |
---|
| 2465 | "> texfactorize(fname,h);"+ nl + |
---|
[ae4196] | 2466 | ev); |
---|
[b6b6153] | 2467 | texfactorize(fname,h); |
---|
[ae4196] | 2468 | |
---|
| 2469 | //--------------------- features for polynomials ----------------- |
---|
| 2470 | write(fname,"\\subsection{Features for polynomials}"); |
---|
| 2471 | |
---|
| 2472 | // TeXreplace |
---|
| 2473 | // --------------------------------------------- |
---|
[b6b6153] | 2474 | write(fname,"By setting the global variable \\verb|TeXreplace| it is possible |
---|
[3c4dcc] | 2475 | to define rules for replacing strings or variable names. |
---|
[b6b6153] | 2476 | \\verb|TeXreplace| has to be a list of twoelemented lists where the first |
---|
| 2477 | entry is the text which should be replaced by the second entry. |
---|
[3c4dcc] | 2478 | This may be applied to replace names of variables, but is also used |
---|
[b6b6153] | 2479 | when calling \\verb|texname| or \\verb|texmap|. Note that it |
---|
| 2480 | is necessary to write a double backslash \\verb|\\\\\| at the beginning of |
---|
| 2481 | a \\TeX \\ symbol." + lb+nl); |
---|
| 2482 | |
---|
| 2483 | write(fname,"Let us denote the primitive element of an algebraic extension |
---|
| 2484 | by $\\xi$."); |
---|
| 2485 | |
---|
[ae4196] | 2486 | list TeXreplace; export TeXreplace; |
---|
| 2487 | TeXreplace[1] = list("a","\\xi"); |
---|
[5bc214c] | 2488 | // setring r49; |
---|
| 2489 | ring r49 =(49,a),x,dp; |
---|
| 2490 | poly g=-(2a13 +a)*x2+a2*x-a+1; |
---|
[ae4196] | 2491 | write(fname, |
---|
| 2492 | bv + |
---|
[b6b6153] | 2493 | "> list TeXreplace;" +nl + |
---|
| 2494 | "> TeXreplace[1]=list(\"a\",\"\\\\xi\");" +nl+ |
---|
| 2495 | "> setring r49;" +nl+ |
---|
| 2496 | "> texpoly(fname,g);"+ nl + |
---|
[ae4196] | 2497 | ev); |
---|
| 2498 | |
---|
| 2499 | texpoly(fname,g); |
---|
| 2500 | |
---|
[b6b6153] | 2501 | write(fname,nl+ "\\vspace{0.2cm}" + nl2); |
---|
| 2502 | write(fname,"Now let us write $\\lambda$ and $\\mu$ for deformation |
---|
| 2503 | parameters."); |
---|
[ae4196] | 2504 | TeXreplace[2]= list("s","\\lambda"); |
---|
| 2505 | TeXreplace[3]= list("t","\\mu"); |
---|
[5bc214c] | 2506 | // setring(r0t); |
---|
| 2507 | ring r0t=(0,s,t),(x,y),dp; |
---|
| 2508 | poly g=8*(-s+2t)/(st+t3)*x+t2*x-1; |
---|
[ae4196] | 2509 | write(fname, |
---|
| 2510 | bv + |
---|
[b6b6153] | 2511 | "> TeXreplace[2]=list(\"s\",\"\\\\lambda\");"+nl+ |
---|
| 2512 | "> TeXreplace[3]=list(\"t\",\"\\\\mu\");"+nl+ |
---|
| 2513 | "> setring(r0t);"+nl+ |
---|
| 2514 | "> texpoly(fname,g);"+ nl + |
---|
[ae4196] | 2515 | ev); |
---|
[5bc214c] | 2516 | texpoly(fname,g); |
---|
[ae4196] | 2517 | |
---|
| 2518 | kill TeXreplace; |
---|
[b6b6153] | 2519 | write(fname,nl+ "\\vspace{0.4cm}" + nl2); |
---|
| 2520 | write(fname,nl2+"Note that, if \\verb|TeXreplace| is defined, the translation |
---|
| 2521 | into \\LaTeX code runs significantly slower, because every polynomial will be |
---|
| 2522 | compiled in the \\verb|non short| mode."+ lb ); |
---|
[ae4196] | 2523 | |
---|
| 2524 | write(fname,nl,"\\Line"); |
---|
[b6b6153] | 2525 | |
---|
[ae4196] | 2526 | //linebreaking TeXwdith |
---|
| 2527 | //----------------------------------------------------------------------- |
---|
[917fb5] | 2528 | write(fname,"The global variable \\verb|TeXwidth| controls the wrapping of |
---|
[ae4196] | 2529 | polynomials; possible values are:" + lb); |
---|
| 2530 | |
---|
| 2531 | write(fname, |
---|
| 2532 | "\\[ " + nl + |
---|
[5bc214c] | 2533 | "\\text{TeXwidth} = ", |
---|
[ae4196] | 2534 | "\\begin{cases} ", |
---|
| 2535 | " -1 & \\text{no linebreaking} \\\\ ", |
---|
[b6b6153] | 2536 | " 0 & \\text{print the polynomial as equation } f=0 \\\\ ", |
---|
| 2537 | " 1,\\dots,9 & \\text{the first n terms followed by the sign of the next |
---|
[ae4196] | 2538 | term} \\\\ ", |
---|
[b6b6153] | 2539 | " > 9 & \\text{line break after terms of length n (see below)} ", |
---|
[ae4196] | 2540 | "\\end{cases}", |
---|
| 2541 | "\\]",nl); |
---|
| 2542 | |
---|
[3c4dcc] | 2543 | write(fname,"Note that the size of terms is calculated with certain |
---|
[b6b6153] | 2544 | multiplicities.",nl); |
---|
[ae4196] | 2545 | |
---|
| 2546 | //---------------------------------------------------------- |
---|
| 2547 | |
---|
| 2548 | write(fname,"\\begin{itemize}",nl); |
---|
| 2549 | write(fname,"\\item",nl); |
---|
| 2550 | |
---|
| 2551 | write(fname, |
---|
| 2552 | bv + |
---|
[b6b6153] | 2553 | "> TeXwidth=-1;"+nl+ |
---|
| 2554 | "> setring r0;"+nl+ |
---|
| 2555 | "> poly f=g^2;"+nl+ |
---|
| 2556 | "> texpoly(fname,f);" + nl + |
---|
[ae4196] | 2557 | ev); |
---|
| 2558 | |
---|
[3c4dcc] | 2559 | setring r0; |
---|
[5bc214c] | 2560 | poly g=-x2y+2y13z+1; |
---|
[b6b6153] | 2561 | poly f=g^2; |
---|
[5bc214c] | 2562 | texpoly(fname,f); |
---|
[ae4196] | 2563 | |
---|
| 2564 | write(fname,"\\item",nl); |
---|
| 2565 | |
---|
| 2566 | write(fname, |
---|
| 2567 | bv + |
---|
[b6b6153] | 2568 | "> TeXwidth=0;"+nl+ |
---|
| 2569 | "> texpoly(fname,f);"+nl+ |
---|
[ae4196] | 2570 | ev); |
---|
| 2571 | TeXwidth = 0; |
---|
[b6b6153] | 2572 | texpoly(fname,f); |
---|
[ae4196] | 2573 | |
---|
| 2574 | write(fname,"\\item",nl); |
---|
| 2575 | |
---|
| 2576 | write(fname, |
---|
| 2577 | bv + |
---|
[b6b6153] | 2578 | "> TeXwidth=2;"+nl+ |
---|
| 2579 | "> texpoly(fname,f);"+nl+ |
---|
[ae4196] | 2580 | ev); |
---|
[b6b6153] | 2581 | TeXwidth=2; |
---|
[5bc214c] | 2582 | texpoly(fname,f); |
---|
[b6b6153] | 2583 | |
---|
[ae4196] | 2584 | write(fname,"\\item",nl); |
---|
| 2585 | |
---|
| 2586 | write(fname, |
---|
| 2587 | bv + |
---|
[b6b6153] | 2588 | "> TeXwidth=20;"+nl+ |
---|
| 2589 | "> texpoly(fname,f);"+nl+ |
---|
[ae4196] | 2590 | ev); |
---|
[b6b6153] | 2591 | TeXwidth=20; |
---|
| 2592 | texpoly(fname,f); |
---|
| 2593 | TeXwidth=-1; |
---|
[ae4196] | 2594 | |
---|
| 2595 | write(fname,"\\end{itemize}",nl); |
---|
| 2596 | |
---|
[b6b6153] | 2597 | write(fname,nl2,"\\Line"); |
---|
[ae4196] | 2598 | |
---|
[3c4dcc] | 2599 | write(fname,"There are two possibilities to convert a polynomial into |
---|
[b6b6153] | 2600 | \\LaTeX \\ code: either by using \\verb|texpoly| or by calling \\verb|texobj|. |
---|
| 2601 | The difference is that \\verb|texpoly| puts the polynomial in textmode |
---|
| 2602 | while \\verb|texobj| uses the display mode."+nl+ |
---|
| 2603 | "The following examples show the different outputs:"); |
---|
[ae4196] | 2604 | |
---|
| 2605 | write(fname, |
---|
| 2606 | bv + |
---|
| 2607 | "> setring r3; |
---|
[5bc214c] | 2608 | > texpoly(fname,g/180);" + nl + |
---|
[ae4196] | 2609 | ev); |
---|
| 2610 | |
---|
[5bc214c] | 2611 | // setring r3; |
---|
[3c4dcc] | 2612 | |
---|
[5bc214c] | 2613 | ring r3=0,(x_1,x_2,x_3),wp(3,2,1); |
---|
[b6b6153] | 2614 | poly g=-x_1*x_2+2*x_2*x_3+x_1*x_3; |
---|
[5bc214c] | 2615 | texpoly(fname,g/180); |
---|
[ae4196] | 2616 | |
---|
| 2617 | write(fname, |
---|
| 2618 | bv + |
---|
[5bc214c] | 2619 | "> texobj(fname,g/180); |
---|
[ae4196] | 2620 | " + nl + |
---|
| 2621 | ev); |
---|
| 2622 | |
---|
[5bc214c] | 2623 | texobj(fname,g/180); |
---|
[ae4196] | 2624 | |
---|
[b6b6153] | 2625 | //write(fname,"Some explanation how it works: if \\verb|texobj| is called for |
---|
| 2626 | //a polynomial, then it defines a global variable \\verb|TeXdisp| which forces |
---|
| 2627 | //\\verb|texpoly| to count fraction with space corresponding |
---|
| 2628 | //the displaymode."+lb,nl2); |
---|
[ae4196] | 2629 | //---------------------texobj for ideal --------------- |
---|
[b6b6153] | 2630 | |
---|
| 2631 | write(fname,"\\subsection{Ideals}"); |
---|
| 2632 | write(fname,"By default, ideals are displayed as column vectors."); |
---|
[ae4196] | 2633 | |
---|
[5bc214c] | 2634 | ring r; |
---|
[b6b6153] | 2635 | ideal I=3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
[ae4196] | 2636 | |
---|
| 2637 | write(fname, |
---|
| 2638 | bv + |
---|
[b6b6153] | 2639 | "> ring r; // the default ring"+nl+ |
---|
| 2640 | "> ideal I=3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x;"+nl+ |
---|
| 2641 | "> texobj(fname,I);" + nl + |
---|
| 2642 | ev); |
---|
[ae4196] | 2643 | |
---|
| 2644 | texobj(fname,I); |
---|
| 2645 | |
---|
[b6b6153] | 2646 | write(fname,"\\Line"); |
---|
[ae4196] | 2647 | //---------------------------------------------------------------------- |
---|
[b6b6153] | 2648 | write(fname,"If the global variable \\verb|Texaligned| is set then the ideal |
---|
| 2649 | is displayed as a row vector."); |
---|
[3c4dcc] | 2650 | |
---|
[ae4196] | 2651 | write(fname, |
---|
| 2652 | bv + |
---|
| 2653 | "> int TeXaligned; |
---|
| 2654 | > texobj(fname,I);" + nl + |
---|
| 2655 | ev); |
---|
| 2656 | |
---|
| 2657 | int TeXaligned; export TeXaligned; |
---|
| 2658 | texobj(fname,I); |
---|
| 2659 | |
---|
| 2660 | write(fname,"\\Line"); |
---|
| 2661 | //---------------------------------------------------------------------- |
---|
[b6b6153] | 2662 | write(fname,"By setting the global variable \\verb|TeXbrack| it is possible |
---|
| 2663 | to change the brackets."); |
---|
[ae4196] | 2664 | |
---|
| 2665 | write(fname, |
---|
| 2666 | bv + |
---|
[b6b6153] | 2667 | "> string TeXbrack=\"<\";"+nl+ |
---|
| 2668 | "> texobj(fname,I);"+nl+ |
---|
[ae4196] | 2669 | ev); |
---|
| 2670 | |
---|
[b6b6153] | 2671 | string TeXbrack="<"; export TeXbrack; |
---|
[ae4196] | 2672 | texobj(fname,I); |
---|
[b6b6153] | 2673 | |
---|
| 2674 | write(fname, |
---|
| 2675 | bv + |
---|
| 2676 | "> kill TeXbrack, TeXaligned;" + nl + |
---|
| 2677 | ev); |
---|
| 2678 | |
---|
[ae4196] | 2679 | kill TeXbrack,TeXaligned; |
---|
| 2680 | write(fname,"\\Line"); |
---|
| 2681 | //---------------------------------------------------------------------- |
---|
| 2682 | write(fname, |
---|
[b6b6153] | 2683 | " If \\verb|TeXwidth| is 0, an ideal is displayed as a system of |
---|
| 2684 | equations."); |
---|
[ae4196] | 2685 | |
---|
| 2686 | // ------------- a linear equation system |
---|
| 2687 | |
---|
[b6b6153] | 2688 | ring r5=0,x(1..5),dp; |
---|
[5bc214c] | 2689 | ideal I=-x(1)+2*x(3)+x(5), x(2)-x(4)+2*x(5)-1, 8*x(1)+x(4)+2; |
---|
[b6b6153] | 2690 | TeXwidth=0; |
---|
[ae4196] | 2691 | |
---|
| 2692 | write(fname, |
---|
| 2693 | bv + |
---|
[b6b6153] | 2694 | "> ring r5=0,x(1..5),dp;"+nl+ |
---|
| 2695 | "> ideal I=-x(1)+2*x(3)+x(5), x(2)-x(4)+2*x(5)-1, 8*x(1)+x(4)+2;"+nl+ |
---|
| 2696 | "> TeXwidth=0;"+nl+ |
---|
| 2697 | "> texobj(fname,I);" +nl+ |
---|
| 2698 | ev); |
---|
[ae4196] | 2699 | |
---|
[5bc214c] | 2700 | texobj(fname,I); |
---|
[ae4196] | 2701 | |
---|
[5bc214c] | 2702 | setring r; |
---|
[b6b6153] | 2703 | ideal J=4x4y21+z25y7-y2,x3+y2,y2-z4; |
---|
[ae4196] | 2704 | |
---|
| 2705 | write(fname, |
---|
| 2706 | bv + |
---|
[b6b6153] | 2707 | "> setring r;"+nl+ |
---|
| 2708 | "> ideal J=4x4y21+z25y7-y2,x3+y2,y2-z4;"+nl+ |
---|
| 2709 | "> texobj(fname,J);" +nl+ |
---|
[ae4196] | 2710 | ev |
---|
[917fb5] | 2711 | ); |
---|
[5bc214c] | 2712 | texobj(fname,J); |
---|
[ae4196] | 2713 | |
---|
| 2714 | write(fname,"\\Line"); |
---|
| 2715 | //----------------------------------------------------------------------- |
---|
[b6b6153] | 2716 | write(fname,"Call the ideal by its name and it is printed as follows"); |
---|
| 2717 | |
---|
[ae4196] | 2718 | write(fname, |
---|
| 2719 | bv + |
---|
| 2720 | "> setring r; |
---|
[b6b6153] | 2721 | > ideal I=3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
[ae4196] | 2722 | > texobj(fname,\"I\");" + nl + |
---|
| 2723 | ev); |
---|
| 2724 | |
---|
[b6b6153] | 2725 | setring r; export(I); |
---|
| 2726 | texobj(fname,"I"); |
---|
| 2727 | kill I,r; |
---|
[5bc214c] | 2728 | //" end part 2 " + nl; |
---|
[ae4196] | 2729 | } |
---|
| 2730 | |
---|
| 2731 | ///////////////////////////// PART3 ////////////////////////////////////////// |
---|
| 2732 | |
---|
[651b46] | 2733 | static proc part3(string fname) |
---|
[3c4dcc] | 2734 | { |
---|
[b6b6153] | 2735 | int st=defined(texdemopart); |
---|
| 2736 | string nl=newline; |
---|
| 2737 | string nl2=newline + newline; |
---|
| 2738 | string lb="\\\\"; |
---|
| 2739 | string bv="\\begin{verbatim}" + newline ; |
---|
| 2740 | string ev="\\end{verbatim}" ; |
---|
[ae4196] | 2741 | |
---|
| 2742 | if (not(st) or st>=3) |
---|
[3c4dcc] | 2743 | { |
---|
[5bc214c] | 2744 | print(" Call part2 first"); |
---|
[ae4196] | 2745 | return(); |
---|
| 2746 | } |
---|
| 2747 | else { texdemopart=3; } |
---|
| 2748 | |
---|
[5bc214c] | 2749 | // " Continuing part 3 of " + fname + |
---|
| 2750 | // " : map,matrices,vectors,intvec,intmats,proc"; |
---|
[ae4196] | 2751 | |
---|
| 2752 | //---------------------- texmap ------------------------------ |
---|
[b6b6153] | 2753 | write(fname,"\\section{Typeseting maps between rings}"); |
---|
| 2754 | write(fname,"By default, maps are displayed in the following way:"); |
---|
[3c4dcc] | 2755 | |
---|
[b6b6153] | 2756 | write(fname, |
---|
| 2757 | bv + |
---|
| 2758 | "> ring r4=0,(x,y,z),dp;"+nl+ |
---|
| 2759 | "> ring r5=0,(u,v),dp;"+nl+ |
---|
| 2760 | "> map phi=r1,u2,uv -v,v2;"+nl+ |
---|
| 2761 | "> texmap(fname,phi,r4,r5);" + nl + |
---|
| 2762 | ev); |
---|
[3c4dcc] | 2763 | |
---|
[5bc214c] | 2764 | ring @r4_h=0,(x,y,z),dp; |
---|
[731e67e] | 2765 | export @r4_h; |
---|
[5bc214c] | 2766 | ring r5=0,(u,v),dp; |
---|
[b6b6153] | 2767 | map @phi_h=@r4_h,u2,uv -v,v2; export @phi_h; |
---|
| 2768 | texmap(fname,@phi_h,@r4_h,r5); |
---|
[ae4196] | 2769 | |
---|
[b6b6153] | 2770 | write(fname,"\\Line"); |
---|
[ae4196] | 2771 | //-------------------------------------------------------------------- |
---|
| 2772 | |
---|
[b6b6153] | 2773 | write(fname,"If the global variable \\verb|TeXaligned| is set, then the |
---|
| 2774 | map is displayed in one line."); |
---|
[3c4dcc] | 2775 | |
---|
[b6b6153] | 2776 | write(fname, |
---|
| 2777 | bv + |
---|
| 2778 | "> int TeXaligned;"+nl+ |
---|
| 2779 | "> texmap(fname,phi,r4,r5,\"\\\\C\");" + nl + |
---|
[ae4196] | 2780 | ev ); |
---|
| 2781 | |
---|
| 2782 | int TeXaligned; export TeXaligned; |
---|
[5bc214c] | 2783 | texmap(fname,@phi_h,@r4_h,r5,"\\C"); |
---|
[ae4196] | 2784 | |
---|
[b6b6153] | 2785 | write(fname,nl+"\\Line"); |
---|
| 2786 | //-------------------------------------------------------------------- |
---|
[ae4196] | 2787 | |
---|
[b6b6153] | 2788 | write(fname,"It is possible to pass the same additional arguments to |
---|
| 2789 | \\verb|texmap| as to \\verb|texring| (see section {\\tt Rings}). This can |
---|
| 2790 | be done by calling \\verb|texmap| with two lists as additional parameters, |
---|
| 2791 | where the first list contains the optional parameters for the source and |
---|
| 2792 | the second one contains the parameters for the domain. Note that if only one |
---|
| 2793 | list is present then it is applied to both of the rings."); |
---|
[3c4dcc] | 2794 | |
---|
[b6b6153] | 2795 | write(fname, |
---|
| 2796 | bv + |
---|
| 2797 | "> texmap(fname,phi,r4,r5,\"\\\\C\",\"{\");" + nl + |
---|
| 2798 | ev ); |
---|
| 2799 | texmap(fname,@phi_h,@r4_h,r5,"\\C","{"); |
---|
[ae4196] | 2800 | |
---|
[b6b6153] | 2801 | write(fname,nl+ "\\vspace{0.2cm}" + nl); |
---|
| 2802 | write(fname,"The next example shows how to format the two rings in different |
---|
| 2803 | ways."); |
---|
[ae4196] | 2804 | |
---|
[b6b6153] | 2805 | write(fname, |
---|
| 2806 | bv + |
---|
| 2807 | "> texmap(fname,phi,r4,r5,list(),list(\"{\"));"+nl+ |
---|
[ae4196] | 2808 | ev ); |
---|
| 2809 | |
---|
[3c4dcc] | 2810 | texmap(fname,@phi_h,@r4_h,r5,list(),list("{")); |
---|
[ae4196] | 2811 | |
---|
[b6b6153] | 2812 | write(fname,nl+"\\Line"); |
---|
| 2813 | //-------------------------------------------------------------------- |
---|
[ae4196] | 2814 | |
---|
[b6b6153] | 2815 | write(fname,"If the map is called by its name then \\verb|texmap| displays, |
---|
| 2816 | in addition, also the name of the map."); |
---|
[ae4196] | 2817 | |
---|
[b6b6153] | 2818 | write(fname, |
---|
| 2819 | bv + |
---|
| 2820 | "> list TeXreplace;" +nl+ |
---|
| 2821 | "> TeXreplace[1]=list(\"phi\",\"\\\\phi\")" +nl+ |
---|
| 2822 | "> texmap(fname,\"phi\",r4,r5);" + nl + |
---|
| 2823 | ev); |
---|
[1c1d96b] | 2824 | |
---|
[b6b6153] | 2825 | list TeXreplace; |
---|
| 2826 | TeXreplace[1]=list("@phi_h","\\phi"); |
---|
| 2827 | export TeXreplace; |
---|
| 2828 | texmap(fname,"@phi_h",@r4_h,r5); |
---|
| 2829 | kill @phi_h,@r4_h,r5,TeXreplace,TeXaligned; |
---|
| 2830 | |
---|
| 2831 | |
---|
| 2832 | write(fname, |
---|
| 2833 | bv + |
---|
| 2834 | "> kill phi,r4,r5,TeXreplace,TeXaligned;" + nl + |
---|
| 2835 | ev); |
---|
[ae4196] | 2836 | |
---|
| 2837 | |
---|
| 2838 | //% the texobj part |
---|
[b6b6153] | 2839 | write(fname,"\\section{Typesetting composed data structures}"); |
---|
[ae4196] | 2840 | //======================================================================= |
---|
| 2841 | |
---|
[b6b6153] | 2842 | write(fname, "Complex data structures such as matrices, vectors or modules |
---|
| 2843 | can be displayed by using the procedure \\verb|texobj|."); |
---|
[3c4dcc] | 2844 | |
---|
[b6b6153] | 2845 | write(fname,"\\subsection{Matrices and vectors}"); |
---|
[ae4196] | 2846 | //======================================================================= |
---|
| 2847 | |
---|
[b6b6153] | 2848 | write(fname,"The following example shows how to typeset the hessian of a |
---|
| 2849 | polynomial."+ |
---|
| 2850 | bv + |
---|
[ae4196] | 2851 | "> ring r;", |
---|
[b6b6153] | 2852 | "> poly h=2xy3-x2z+x4z7+y4z2;", |
---|
| 2853 | "> matrix H=jacob(jacob(h));", |
---|
[ae4196] | 2854 | "> texobj(fname,H);", |
---|
| 2855 | ev ); |
---|
| 2856 | |
---|
| 2857 | ring r; |
---|
[b6b6153] | 2858 | poly h=2xy3-x2z+x4z7+y4z2; |
---|
| 2859 | matrix H=jacob(jacob(h)); |
---|
[ae4196] | 2860 | |
---|
| 2861 | texobj(fname,H); |
---|
| 2862 | |
---|
[b6b6153] | 2863 | write(fname,"By default, \\verb|vectors| are written as row vectors:"); |
---|
[ae4196] | 2864 | |
---|
[b6b6153] | 2865 | vector V = H[2]; |
---|
[ae4196] | 2866 | |
---|
[b6b6153] | 2867 | write(fname, |
---|
| 2868 | bv + |
---|
| 2869 | "> vector V=H[2];", |
---|
[ae4196] | 2870 | "> texobj(fname,V);", |
---|
| 2871 | ev ); |
---|
| 2872 | |
---|
| 2873 | texobj(fname,V); |
---|
| 2874 | |
---|
[b6b6153] | 2875 | write(fname,nl2+"\\vspace{0.2cm}"+nl); |
---|
| 2876 | write(fname,"In order to transpose it, it has to be converted into a |
---|
| 2877 | matrix."); |
---|
| 2878 | write(fname, |
---|
| 2879 | bv + |
---|
[ae4196] | 2880 | "> texobj(fname,matrix(V));", |
---|
| 2881 | ev ); |
---|
| 2882 | |
---|
| 2883 | texobj(fname,matrix(V)); |
---|
| 2884 | |
---|
[b6b6153] | 2885 | write(fname,nl+"\\Line"); |
---|
[ae4196] | 2886 | //------------------------------------------------------------------------ |
---|
| 2887 | |
---|
[b6b6153] | 2888 | write(fname,"All the features for typesetting polynomials work also for |
---|
| 2889 | matrices or vectors with polynomial entries."); |
---|
| 2890 | write(fname,nl+ "\\vspace{0.2cm}" + nl); |
---|
| 2891 | write(fname,"By setting the global variable \\verb|TeXwidth| it is possible |
---|
| 2892 | to display only the first terms of the polynomials."); |
---|
[ae4196] | 2893 | |
---|
| 2894 | write(fname,bv + |
---|
[b6b6153] | 2895 | "> TeXwidth=1;", |
---|
[917fb5] | 2896 | "> texobj(fname,H);", |
---|
[b6b6153] | 2897 | "> TeXwidth=-1;", |
---|
[ae4196] | 2898 | ev ); |
---|
| 2899 | |
---|
| 2900 | TeXwidth = 1; |
---|
[917fb5] | 2901 | texobj(fname,H); |
---|
[ae4196] | 2902 | TeXwidth = -1; |
---|
| 2903 | |
---|
| 2904 | write(fname,nl,"\\Line"); |
---|
| 2905 | //------------------------------------------------------------------------ |
---|
[b6b6153] | 2906 | write(fname,"The flag variable \\verb|TeXnofrac| controls the typesetting |
---|
| 2907 | of fractions."); |
---|
[ae4196] | 2908 | |
---|
[b6b6153] | 2909 | write(fname, |
---|
| 2910 | bv + |
---|
| 2911 | "> ring R0=0,x,dp;", |
---|
| 2912 | "> matrix M[2][3]=1/2, 0, 1/2, 0, 1/3, 2/3;", |
---|
[ae4196] | 2913 | "> texobj(fname,M);", |
---|
| 2914 | ev); |
---|
| 2915 | |
---|
| 2916 | |
---|
[5bc214c] | 2917 | ring R0 = 0,x,dp; |
---|
[ae4196] | 2918 | matrix M[2][3] = 1/2, 0, 1/2, 0, 1/3, 2/3; |
---|
| 2919 | texobj(fname,M); |
---|
| 2920 | |
---|
| 2921 | write(fname,bv + |
---|
[917fb5] | 2922 | "> int TeXnofrac;", |
---|
[ae4196] | 2923 | "> texobj(fname,M);", |
---|
| 2924 | ev ); |
---|
| 2925 | |
---|
[b6b6153] | 2926 | int TeXnofrac; export TeXnofrac; |
---|
| 2927 | texobj(fname,M); |
---|
| 2928 | kill TeXnofrac; |
---|
| 2929 | |
---|
| 2930 | write(fname,bv + |
---|
| 2931 | "> kill TeXnofrac;", |
---|
| 2932 | ev ); |
---|
[ae4196] | 2933 | |
---|
| 2934 | write(fname,nl,"\\Line"); |
---|
| 2935 | //------------------------------------------------------------------------ |
---|
| 2936 | |
---|
[b6b6153] | 2937 | write(fname,"Printing a vector with homogeneous coordinates can be done by |
---|
| 2938 | setting \\verb|TeXproj|."); |
---|
[ae4196] | 2939 | write(fname,bv + |
---|
| 2940 | "> setring r;", |
---|
| 2941 | "> int TeXproj;", |
---|
| 2942 | "> texobj(fname,V);", |
---|
| 2943 | ev ); |
---|
| 2944 | |
---|
[3c4dcc] | 2945 | setring r; |
---|
[b6b6153] | 2946 | ideal I=3xz5+x2y3-3z,7xz5+y3z+x-z,-xyz2+4yz+2x; |
---|
[5bc214c] | 2947 | int TeXproj; export TeXproj; |
---|
[3c4dcc] | 2948 | |
---|
[5bc214c] | 2949 | texobj(fname,V); |
---|
| 2950 | kill TeXproj; |
---|
[ae4196] | 2951 | |
---|
[b6b6153] | 2952 | write(fname, |
---|
| 2953 | bv + |
---|
| 2954 | "> kill TeXproj;"+nl+ |
---|
| 2955 | ev); |
---|
[3c4dcc] | 2956 | |
---|
[b6b6153] | 2957 | write(fname,"\\subsection{Modules}",nl2); |
---|
[ae4196] | 2958 | |
---|
[b6b6153] | 2959 | write(fname,"By default, modules are displayed in the following way:"+ |
---|
| 2960 | bv + |
---|
[ae4196] | 2961 | "> setring r;", |
---|
[b6b6153] | 2962 | "> module md=module(H);", |
---|
[ae4196] | 2963 | "> texobj(fname,md);", |
---|
| 2964 | ev ); |
---|
| 2965 | |
---|
| 2966 | setring r; |
---|
| 2967 | module md = module(H); |
---|
| 2968 | texobj(fname,md); |
---|
| 2969 | |
---|
[b6b6153] | 2970 | write(fname,nl,"\\Line"); |
---|
| 2971 | //------------------------------------------------------------------------ |
---|
[ae4196] | 2972 | |
---|
[b6b6153] | 2973 | write(fname,"In order to write the generators of a module aligned, the flag |
---|
| 2974 | variable \\verb|TeXaligned| has to be defined.",nl2); |
---|
[ae4196] | 2975 | |
---|
| 2976 | write(fname,bv + |
---|
| 2977 | "> int TeXaligned;", |
---|
| 2978 | "> texobj(fname,md);", |
---|
| 2979 | ev ); |
---|
| 2980 | |
---|
| 2981 | int TeXaligned; export TeXaligned; |
---|
| 2982 | texobj(fname,md); |
---|
| 2983 | kill TeXaligned; |
---|
[b6b6153] | 2984 | write(fname,bv + |
---|
| 2985 | "> kill TeXaligned;", |
---|
[ae4196] | 2986 | ev ); |
---|
| 2987 | |
---|
[b6b6153] | 2988 | //---------------------------------------------------------------- |
---|
| 2989 | write(fname,"\\subsection{Integer matrices and vectors}"); |
---|
[ae4196] | 2990 | |
---|
[b6b6153] | 2991 | write(fname,"Integer matrices are displayed in the following way."); |
---|
[3c4dcc] | 2992 | |
---|
[b6b6153] | 2993 | intmat m[3][4]=-1,3,5,2,-2,8,6,0,2,5,8,7; |
---|
[ae4196] | 2994 | |
---|
| 2995 | write(fname, |
---|
| 2996 | bv + |
---|
[b6b6153] | 2997 | "> intmat m[3][4]=-1,3,5,2,-2,8,6,0,2,5,8,7;" + nl + |
---|
[ae4196] | 2998 | "> m;" + nl + |
---|
[917fb5] | 2999 | string(m) + nl + |
---|
[ae4196] | 3000 | "> texobj(fname,m);" + nl2 + |
---|
| 3001 | ev ); |
---|
| 3002 | |
---|
| 3003 | texobj(fname,m); |
---|
[b6b6153] | 3004 | write(fname,nl+ "\\vspace{0.2cm}" + nl); |
---|
| 3005 | write(fname,"Integer vectors are displayed as row vectors."); |
---|
| 3006 | intvec v = 1..4; |
---|
[ae4196] | 3007 | write(fname, |
---|
| 3008 | bv + |
---|
[b6b6153] | 3009 | "> intvec v=1..4;"+nl+ |
---|
| 3010 | "> v;" + nl + |
---|
| 3011 | string(v) + nl + |
---|
| 3012 | "> texobj(fname,v);"+nl+ |
---|
[ae4196] | 3013 | ev ); |
---|
| 3014 | |
---|
| 3015 | texobj(fname,v); |
---|
| 3016 | |
---|
[b6b6153] | 3017 | write(fname,nl+ "\\vspace{0.2cm}" + nl); |
---|
| 3018 | write(fname,"To typeset the transposed vector, it has to be converted into |
---|
| 3019 | an integer matrix."+ |
---|
[ae4196] | 3020 | bv + |
---|
| 3021 | "> texobj(fname,intmat(v));" + nl2 + |
---|
| 3022 | ev ); |
---|
| 3023 | |
---|
| 3024 | texobj(fname,intmat(v)); |
---|
| 3025 | |
---|
[b6b6153] | 3026 | write(fname,nl+ "\\vspace{0.2cm}" + nl); |
---|
| 3027 | |
---|
| 3028 | write(fname,"The following example shows how to typeset the multiplication of |
---|
| 3029 | a matrix with a vector."+ |
---|
[ae4196] | 3030 | bv + |
---|
| 3031 | "> texobj(fname,intmat(m*v),\"=\",m,\"*\",intmat(v));" + nl2 + |
---|
| 3032 | ev ); |
---|
| 3033 | |
---|
| 3034 | texobj(fname,intmat(m*v),"=",m,"*",intmat(v)); |
---|
| 3035 | |
---|
| 3036 | //----------------------------------------------------------------- |
---|
| 3037 | write(fname,"\\Line"); |
---|
| 3038 | |
---|
[b6b6153] | 3039 | write(fname,"Of course, the brackets of a \\verb|intmat| can be changed |
---|
| 3040 | by setting \\verb|TeXbrack|."); |
---|
[ae4196] | 3041 | |
---|
| 3042 | write(fname, |
---|
| 3043 | bv + |
---|
[b6b6153] | 3044 | "> intmat mat[3][3]=1,2,3,4,5,6,7,8,9;" + nl + |
---|
| 3045 | "> string TeXbrack=\"|\";" + nl + |
---|
| 3046 | "> texobj(fname,mat,\" = \",det(mat)); " + nl2 + |
---|
[ae4196] | 3047 | ev ); |
---|
| 3048 | |
---|
| 3049 | intmat mat[3][3] = 1,2,3,4,5,6,7,8,9; |
---|
| 3050 | string TeXbrack = "|"; export TeXbrack; |
---|
[b6b6153] | 3051 | texobj(fname,mat," = ",det(mat)); |
---|
[ae4196] | 3052 | kill TeXbrack; |
---|
| 3053 | |
---|
| 3054 | //----------------------------------texname------------------- |
---|
| 3055 | |
---|
[651b46] | 3056 | //write(fname,"\\section{Names of identifiers}"); |
---|
[ae4196] | 3057 | |
---|
| 3058 | |
---|
[917fb5] | 3059 | //write(fname,"The proc \\verb|texname| is used to write indexed names in a |
---|
[651b46] | 3060 | //correct way"+lb,nl); |
---|
[ae4196] | 3061 | |
---|
| 3062 | |
---|
| 3063 | |
---|
| 3064 | // ------------------------------- texproc ------------------------------- |
---|
[5bc214c] | 3065 | proc milnor_number (poly p) |
---|
| 3066 | { |
---|
| 3067 | ideal i= std(jacob(p)); |
---|
| 3068 | int m_nr=vdim(i); |
---|
| 3069 | if (m_nr<0) |
---|
| 3070 | { |
---|
| 3071 | "// not an isolated singularity"; |
---|
| 3072 | } |
---|
[3c4dcc] | 3073 | return(m_nr); |
---|
[5bc214c] | 3074 | } |
---|
| 3075 | export(milnor_number); |
---|
[1c1d96b] | 3076 | |
---|
[b6b6153] | 3077 | write(fname,"\\section{Typesetting procedures}"); |
---|
| 3078 | write(fname,"The following procedure allows to include the source code |
---|
| 3079 | of procedures into a \\LaTeX document."); |
---|
[3c4dcc] | 3080 | write(fname, |
---|
[b6b6153] | 3081 | bv + |
---|
| 3082 | "> texproc(fname,\"milnor\_number\");" +nl+ |
---|
| 3083 | ev); |
---|
[3c4dcc] | 3084 | |
---|
[b6b6153] | 3085 | texproc(fname,"milnor_number"); |
---|
[ae4196] | 3086 | |
---|
[3b77465] | 3087 | kill milnor_number; |
---|
[3c4dcc] | 3088 | |
---|
[ae4196] | 3089 | // ------------------------------ closing the tex file ------------------- |
---|
| 3090 | write(fname,"\\section{Closing the \\LaTeX\\ file}"); |
---|
[b6b6153] | 3091 | write(fname,"To close the file use \\verb|closetex(fname);|. It should now |
---|
| 3092 | contain pure \\LaTeX \\ code and may be compiled with " + |
---|
| 3093 | "\\verb|tex(fname)| and displayed with \\verb|xdvi(fname)|."); |
---|
[ae4196] | 3094 | |
---|
[651b46] | 3095 | // write(fname,"\\section{Remarks}"); |
---|
[ae4196] | 3096 | closetex(fname); |
---|
[5bc214c] | 3097 | //"end of part3" + nl; |
---|
[651b46] | 3098 | |
---|
| 3099 | pagewidth =80; |
---|
[5bc214c] | 3100 | kill texdemopart,TeXwidth; |
---|
[ae4196] | 3101 | } |
---|
| 3102 | |
---|
[8942a5] | 3103 | /////////////////////////////////////////////////////////////////////////////// |
---|