/usr/share/axiom-20170501/src/algebra/NAGF01.spad is in axiom-source 20170501-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 | )abbrev package NAGF01 NagMatrixOperationsPackage
++ Author: Godfrey Nolan and Mike Dewar
++ Date Created: Jan 1994
++ Date Last Updated: Thu May 12 17:45:15 1994
++ Description:
++ This package uses the NAG Library to provide facilities for matrix
++ factorizations and associated transformations.
NagMatrixOperationsPackage() : SIG == CODE where
S ==> Symbol
FOP ==> FortranOutputStackPackage
SIG ==> with
f01brf : (Integer,Integer,Integer,Integer,_
DoubleFloat,Boolean,Boolean,List Boolean,Matrix DoubleFloat,_
Matrix Integer,Matrix Integer,Integer) -> Result
++ f01brf(n,nz,licn,lirn,pivot,lblock,grow,abort,a,irn,icn,ifail)
++ factorizes a real sparse matrix. The routine either forms
++ the LU factorization of a permutation of the entire matrix, or,
++ optionally, first permutes the matrix to block lower triangular
++ form and then only factorizes the diagonal blocks.
++ See \downlink{Manual Page}{manpageXXf01brf}.
f01bsf : (Integer,Integer,Integer,Matrix Integer,_
Matrix Integer,Matrix Integer,Matrix Integer,Boolean,DoubleFloat,_
Boolean,Matrix Integer,Matrix DoubleFloat,Integer) -> Result
++ f01bsf(n,nz,licn,ivect,jvect,icn,ikeep,grow,
++ eta,abort,idisp,avals,ifail)
++ factorizes a real sparse matrix using the pivotal sequence
++ previously obtained by F01BRF when a matrix of the same sparsity
++ pattern was factorized.
++ See \downlink{Manual Page}{manpageXXf01bsf}.
f01maf : (Integer,Integer,Integer,Integer,_
List Boolean,Matrix DoubleFloat,Matrix Integer,Matrix Integer,_
DoubleFloat,DoubleFloat,Integer) -> Result
++ f01maf(n,nz,licn,lirn,abort,avals,irn,icn,droptl,densw,ifail)
++ computes an incomplete Cholesky factorization of a real
++ sparse symmetric positive-definite matrix A.
++ See \downlink{Manual Page}{manpageXXf01maf}.
f01mcf : (Integer,Matrix DoubleFloat,Integer,Matrix Integer,_
Integer) -> Result
++ f01mcf(n,avals,lal,nrow,ifail)
++ computes the Cholesky factorization of a real symmetric
++ positive-definite variable-bandwidth matrix.
++ See \downlink{Manual Page}{manpageXXf01mcf}.
f01qcf : (Integer,Integer,Integer,Matrix DoubleFloat,_
Integer) -> Result
++ f01qcf(m,n,lda,a,ifail)
++ finds the QR factorization of the real m by n matrix A,
++ where m>=n.
++ See \downlink{Manual Page}{manpageXXf01qcf}.
f01qdf : (String,String,Integer,Integer,_
Matrix DoubleFloat,Integer,Matrix DoubleFloat,Integer,Integer,_
Matrix DoubleFloat,Integer) -> Result
++ f01qdf(trans,wheret,m,n,a,lda,zeta,ncolb,ldb,b,ifail)
++ performs one of the transformations
++ See \downlink{Manual Page}{manpageXXf01qdf}.
f01qef : (String,Integer,Integer,Integer,_
Integer,Matrix DoubleFloat,Matrix DoubleFloat,Integer) -> Result
++ f01qef(wheret,m,n,ncolq,lda,zeta,a,ifail)
++ returns the first ncolq columns of the real m by m
++ orthogonal matrix Q, where Q is given as the product of
++ Householder transformation matrices.
++ See \downlink{Manual Page}{manpageXXf01qef}.
f01rcf : (Integer,Integer,Integer,Matrix Complex DoubleFloat,_
Integer) -> Result
++ f01rcf(m,n,lda,a,ifail)
++ finds the QR factorization of the complex m by n matrix A,
++ where m>=n.
++ See \downlink{Manual Page}{manpageXXf01rcf}.
f01rdf : (String,String,Integer,Integer,_
Matrix Complex DoubleFloat,Integer,Matrix Complex DoubleFloat,_
Integer,Integer,Matrix Complex DoubleFloat,Integer) -> Result
++ f01rdf(trans,wheret,m,n,a,lda,theta,ncolb,ldb,b,ifail)
++ performs one of the transformations
++ See \downlink{Manual Page}{manpageXXf01rdf}.
f01ref : (String,Integer,Integer,Integer,_
Integer,Matrix Complex DoubleFloat,Matrix Complex DoubleFloat,_
Integer) -> Result
++ f01ref(wheret,m,n,ncolq,lda,theta,a,ifail)
++ returns the first ncolq columns of the complex m by m
++ unitary matrix Q, where Q is given as the product of Householder
++ transformation matrices.
++ See \downlink{Manual Page}{manpageXXf01ref}.
CODE ==> add
import Lisp
import DoubleFloat
import Any
import Record
import Integer
import Matrix DoubleFloat
import Boolean
import NAGLinkSupportPackage
import AnyFunctions1(Integer)
import AnyFunctions1(DoubleFloat)
import AnyFunctions1(Boolean)
import AnyFunctions1(String)
import AnyFunctions1(List Boolean)
import AnyFunctions1(Matrix DoubleFloat)
import AnyFunctions1(Matrix Complex DoubleFloat)
import AnyFunctions1(Matrix Integer)
f01brf(nArg:Integer,nzArg:Integer,licnArg:Integer,_
lirnArg:Integer,pivotArg:DoubleFloat,lblockArg:Boolean,_
growArg:Boolean,abortArg:List Boolean,aArg:Matrix DoubleFloat,_
irnArg:Matrix Integer,icnArg:Matrix Integer,_
ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01brf",_
["n"::S,"nz"::S,"licn"::S,"lirn"::S,"pivot"::S_
,"lblock"::S,"grow"::S,"ifail"::S,"abort"::S,"ikeep"::S,_
"w"::S,"idisp"::S,"a"::S_
,"irn"::S,"icn"::S,"iw"::S]$Lisp,_
["ikeep"::S,"w"::S,"idisp"::S,"iw"::S]$Lisp,_
[["double"::S,"pivot"::S,["w"::S,"n"::S]$Lisp_
,["a"::S,"licn"::S]$Lisp]$Lisp_
,["integer"::S,"n"::S,"nz"::S,"licn"::S,"lirn"::S_
,["ikeep"::S,["*"::S,5$Lisp,"n"::S]$Lisp]$Lisp,_
["idisp"::S,10$Lisp]$Lisp,["irn"::S,"lirn"::S]$Lisp,_
["icn"::S,"licn"::S]$Lisp_
,"ifail"::S,["iw"::S,["*"::S,8$Lisp,"n"::S]$Lisp]$Lisp]$Lisp_
,["logical"::S,"lblock"::S,"grow"::S,["abort"::S,4$Lisp]$Lisp]$Lisp_
]$Lisp,_
["ikeep"::S,"w"::S,"idisp"::S,"a"::S,"irn"::S,_
"icn"::S,"ifail"::S]$Lisp,_
[([nArg::Any,nzArg::Any,licnArg::Any,lirnArg::Any,pivotArg::Any,_
lblockArg::Any,growArg::Any,ifailArg::Any,abortArg::Any,_
aArg::Any,irnArg::Any,icnArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01bsf(nArg:Integer,nzArg:Integer,licnArg:Integer,_
ivectArg:Matrix Integer,jvectArg:Matrix Integer,icnArg:Matrix Integer,_
ikeepArg:Matrix Integer,growArg:Boolean,etaArg:DoubleFloat,_
abortArg:Boolean,idispArg:Matrix Integer,avalsArg:Matrix DoubleFloat,_
ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01bsf",_
["n"::S,"nz"::S,"licn"::S,"grow"::S,"eta"::S_
,"abort"::S,"rpmin"::S,"ifail"::S,"ivect"::S,"jvect"::S,_
"icn"::S,"ikeep"::S,"idisp"::S_
,"w"::S,"avals"::S,"iw"::S]$Lisp,_
["w"::S,"rpmin"::S,"iw"::S]$Lisp,_
[["double"::S,"eta"::S,["w"::S,"n"::S]$Lisp_
,"rpmin"::S,["avals"::S,"licn"::S]$Lisp]$Lisp_
,["integer"::S,"n"::S,"nz"::S,"licn"::S,["ivect"::S,"nz"::S]$Lisp_
,["jvect"::S,"nz"::S]$Lisp,["icn"::S,"licn"::S]$Lisp,_
["ikeep"::S,["*"::S,5$Lisp,"n"::S]$Lisp]$Lisp_
,["idisp"::S,2$Lisp]$Lisp,"ifail"::S,_
["iw"::S,["*"::S,8$Lisp,"n"::S]$Lisp]$Lisp]$Lisp_
,["logical"::S,"grow"::S,"abort"::S]$Lisp_
]$Lisp,_
["w"::S,"rpmin"::S,"avals"::S,"ifail"::S]$Lisp,_
[([nArg::Any,nzArg::Any,licnArg::Any,growArg::Any,etaArg::Any,_
abortArg::Any,ifailArg::Any,ivectArg::Any,jvectArg::Any,icnArg::Any,_
ikeepArg::Any,idispArg::Any,avalsArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01maf(nArg:Integer,nzArg:Integer,licnArg:Integer,_
lirnArg:Integer,abortArg:List Boolean,avalsArg:Matrix DoubleFloat,_
irnArg:Matrix Integer,icnArg:Matrix Integer,droptlArg:DoubleFloat,_
denswArg:DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01maf",_
["n"::S,"nz"::S,"licn"::S,"lirn"::S,"droptl"::S_
,"densw"::S,"ifail"::S,"abort"::S,"wkeep"::S,"ikeep"::S,_
"inform"::S,"avals"::S_
,"irn"::S,"icn"::S,"iwork"::S]$Lisp,_
["wkeep"::S,"ikeep"::S,"inform"::S,"iwork"::S]$Lisp,_
[["double"::S,["wkeep"::S,["*"::S,3$Lisp,"n"::S]$Lisp]$Lisp_
,["avals"::S,"licn"::S]$Lisp,"droptl"::S,"densw"::S]$Lisp_
,["integer"::S,"n"::S,"nz"::S,"licn"::S,"lirn"::S_
,["ikeep"::S,["*"::S,2$Lisp,"n"::S]$Lisp]$Lisp,_
["inform"::S,4$Lisp]$Lisp,["irn"::S,"lirn"::S]$Lisp,_
["icn"::S,"licn"::S]$Lisp_
,"ifail"::S,["iwork"::S,["*"::S,6$Lisp,"n"::S]$Lisp]$Lisp]$Lisp_
,["logical"::S,["abort"::S,3$Lisp]$Lisp]$Lisp_
]$Lisp,_
["wkeep"::S,"ikeep"::S,"inform"::S,"avals"::S,"irn"::S,_
"icn"::S,"droptl"::S,"densw"::S,"ifail"::S]$Lisp,_
[([nArg::Any,nzArg::Any,licnArg::Any,lirnArg::Any,droptlArg::Any,_
denswArg::Any,ifailArg::Any,abortArg::Any,avalsArg::Any,_
irnArg::Any,icnArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01mcf(nArg:Integer,avalsArg:Matrix DoubleFloat,lalArg:Integer,_
nrowArg:Matrix Integer,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01mcf",_
["n"::S,"lal"::S,"ifail"::S,"avals"::S,"nrow"::S,"al"::S,"d"::S]$Lisp,_
["al"::S,"d"::S]$Lisp,_
[["double"::S,["avals"::S,"lal"::S]$Lisp,["al"::S,"lal"::S]$Lisp_
,["d"::S,"n"::S]$Lisp]$Lisp_
,["integer"::S,"n"::S,"lal"::S,["nrow"::S,"n"::S]$Lisp_
,"ifail"::S]$Lisp_
]$Lisp,_
["al"::S,"d"::S,"ifail"::S]$Lisp,_
[([nArg::Any,lalArg::Any,ifailArg::Any,avalsArg::Any,nrowArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01qcf(mArg:Integer,nArg:Integer,ldaArg:Integer,_
aArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01qcf",_
["m"::S,"n"::S,"lda"::S,"ifail"::S,"zeta"::S,"a"::S]$Lisp,_
["zeta"::S]$Lisp,_
[["double"::S,["zeta"::S,"n"::S]$Lisp,["a"::S,"lda"::S,"n"::S]$Lisp_
]$Lisp_
,["integer"::S,"m"::S,"n"::S,"lda"::S,"ifail"::S_
]$Lisp_
]$Lisp,_
["zeta"::S,"a"::S,"ifail"::S]$Lisp,_
[([mArg::Any,nArg::Any,ldaArg::Any,ifailArg::Any,aArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01qdf(transArg:String,wheretArg:String,mArg:Integer,_
nArg:Integer,aArg:Matrix DoubleFloat,ldaArg:Integer,_
zetaArg:Matrix DoubleFloat,ncolbArg:Integer,ldbArg:Integer,_
bArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01qdf",_
["trans"::S,"wheret"::S,"m"::S,"n"::S,"lda"::S,"ncolb"::S,"ldb"::S,_
"ifail"::S,"a"::S,"zeta"::S,"b"::S,"work"::S]$Lisp,_
["work"::S]$Lisp,_
[["double"::S,["a"::S,"lda"::S,"n"::S]$Lisp,["zeta"::S,"n"::S]$Lisp,_
["b"::S,"ldb"::S,"ncolb"::S]$Lisp,["work"::S,"ncolb"::S]$Lisp]$Lisp_
,["integer"::S,"m"::S,"n"::S,"lda"::S,"ncolb"::S_
,"ldb"::S,"ifail"::S]$Lisp_
,["character"::S,"trans"::S,"wheret"::S]$Lisp_
]$Lisp,_
["b"::S,"ifail"::S]$Lisp,_
[([transArg::Any,wheretArg::Any,mArg::Any,nArg::Any,ldaArg::Any,_
ncolbArg::Any,ldbArg::Any,ifailArg::Any,aArg::Any,_
zetaArg::Any,bArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01qef(wheretArg:String,mArg:Integer,nArg:Integer,_
ncolqArg:Integer,ldaArg:Integer,zetaArg:Matrix DoubleFloat,_
aArg:Matrix DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01qef",_
["wheret"::S,"m"::S,"n"::S,"ncolq"::S,"lda"::S_
,"ifail"::S,"zeta"::S,"a"::S,"work"::S]$Lisp,_
["work"::S]$Lisp,_
[["double"::S,["zeta"::S,"n"::S]$Lisp,_
["a"::S,"lda"::S,"ncolq"::S]$Lisp_
,["work"::S,"ncolq"::S]$Lisp]$Lisp_
,["integer"::S,"m"::S,"n"::S,"ncolq"::S,"lda"::S_
,"ifail"::S]$Lisp_
,["character"::S,"wheret"::S]$Lisp_
]$Lisp,_
["a"::S,"ifail"::S]$Lisp,_
[([wheretArg::Any,mArg::Any,nArg::Any,ncolqArg::Any,ldaArg::Any,_
ifailArg::Any,zetaArg::Any,aArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01rcf(mArg:Integer,nArg:Integer,ldaArg:Integer,_
aArg:Matrix Complex DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01rcf",_
["m"::S,"n"::S,"lda"::S,"ifail"::S,"theta"::S,"a"::S]$Lisp,_
["theta"::S]$Lisp,_
[["integer"::S,"m"::S,"n"::S,"lda"::S,"ifail"::S]$Lisp_
,["double complex"::S,["theta"::S,"n"::S]$Lisp,_
["a"::S,"lda"::S,"n"::S]$Lisp]$Lisp]$Lisp,_
["theta"::S,"a"::S,"ifail"::S]$Lisp,_
[([mArg::Any,nArg::Any,ldaArg::Any,ifailArg::Any,aArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01rdf(transArg:String,wheretArg:String,mArg:Integer,_
nArg:Integer,aArg:Matrix Complex DoubleFloat,ldaArg:Integer,_
thetaArg:Matrix Complex DoubleFloat,ncolbArg:Integer,ldbArg:Integer,_
bArg:Matrix Complex DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01rdf",_
["trans"::S,"wheret"::S,"m"::S,"n"::S,"lda"::S_
,"ncolb"::S,"ldb"::S,"ifail"::S,"a"::S,"theta"::S,_
"b"::S,"work"::S]$Lisp,["work"::S]$Lisp,_
[["integer"::S,"m"::S,"n"::S,"lda"::S,"ncolb"::S_
,"ldb"::S,"ifail"::S]$Lisp_
,["character"::S,"trans"::S,"wheret"::S]$Lisp_
,["double complex"::S,["a"::S,"lda"::S,"n"::S]$Lisp,_
["theta"::S,"n"::S]$Lisp,["b"::S,"ldb"::S,"ncolb"::S]$Lisp,_
["work"::S,"ncolb"::S]$Lisp]$Lisp]$Lisp,_
["b"::S,"ifail"::S]$Lisp,_
[([transArg::Any,wheretArg::Any,mArg::Any,nArg::Any,_
ldaArg::Any,ncolbArg::Any,ldbArg::Any,ifailArg::Any,aArg::Any,_
thetaArg::Any,bArg::Any ])@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
f01ref(wheretArg:String,mArg:Integer,nArg:Integer,_
ncolqArg:Integer,ldaArg:Integer,thetaArg:Matrix Complex DoubleFloat,_
aArg:Matrix Complex DoubleFloat,ifailArg:Integer): Result ==
[(invokeNagman(NIL$Lisp,_
"f01ref",_
["wheret"::S,"m"::S,"n"::S,"ncolq"::S,"lda"::S_
,"ifail"::S,"theta"::S,"a"::S,"work"::S]$Lisp,_
["work"::S]$Lisp,_
[["integer"::S,"m"::S,"n"::S,"ncolq"::S,"lda"::S_
,"ifail"::S]$Lisp_
,["character"::S,"wheret"::S]$Lisp_
,["double complex"::S,["theta"::S,"n"::S]$Lisp,_
["a"::S,"lda"::S,"n"::S]$Lisp,["work"::S,"ncolq"::S]$Lisp]$Lisp_
]$Lisp,_
["a"::S,"ifail"::S]$Lisp,_
[([wheretArg::Any,mArg::Any,nArg::Any,ncolqArg::Any,ldaArg::Any,_
ifailArg::Any,thetaArg::Any,aArg::Any ])_
@List Any]$Lisp)$Lisp)_
pretend List (Record(key:Symbol,entry:Any))]$Result
|