aboutsummaryrefslogtreecommitdiff
path: root/gnu/packages/algebra.scm
blob: ff6e5189fd9eb8cb6c83dc30b3d4e528974cccb1 (about) (plain)
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
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
;;; GNU Guix --- Functional package management for GNU
;;; Copyright © 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019 Andreas Enge <andreas@enge.fr>
;;; Copyright © 2013, 2015, 2017, 2018, 2021 Ludovic Courtès <ludo@gnu.org>
;;; Copyright © 2016–2022 Nicolas Goaziou <mail@nicolasgoaziou.fr>
;;; Copyright © 2014, 2018 Mark H Weaver <mhw@netris.org>
;;; Copyright © 2016, 2018, 2019, 2021 Ricardo Wurmus <rekado@elephly.net>
;;; Copyright © 2017, 2020, 2021 Efraim Flashner <efraim@flashner.co.il>
;;; Copyright © 2017–2021 Tobias Geerinckx-Rice <me@tobias.gr>
;;; Copyright © 2017 Marius Bakke <mbakke@fastmail.com>
;;; Copyright © 2017, 2019, 2021 Eric Bavier <bavier@posteo.net>
;;; Copyright © 2019 Mathieu Othacehe <m.othacehe@gmail.com>
;;; Copyright © 2020 Björn Höfling <bjoern.hoefling@bjoernhoefling.de>
;;; Copyright © 2020 Jakub Kądziołka <kuba@kadziolka.net>
;;; Copyright © 2020 Vincent Legoll <vincent.legoll@gmail.com>
;;; Copyright © 2020, 2021 Vinicius Monego <monego@posteo.net>
;;; Copyright © 2021 Lars-Dominik Braun <ldb@leibniz-psychology.org>
;;;
;;; This file is part of GNU Guix.
;;;
;;; GNU Guix is free software; you can redistribute it and/or modify it
;;; under the terms of the GNU General Public License as published by
;;; the Free Software Foundation; either version 3 of the License, or (at
;;; your option) any later version.
;;;
;;; GNU Guix is distributed in the hope that it will be useful, but
;;; WITHOUT ANY WARRANTY; without even the implied warranty of
;;; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
;;; GNU General Public License for more details.
;;;
;;; You should have received a copy of the GNU General Public License
;;; along with GNU Guix.  If not, see <http://www.gnu.org/licenses/>.

(define-module (gnu packages algebra)
  #:use-module (gnu packages)
  #:use-module (gnu packages autotools)
  #:use-module (gnu packages bison)
  #:use-module (gnu packages boost)
  #:use-module (gnu packages check)
  #:use-module (gnu packages compression)
  #:use-module (gnu packages cpp)
  #:use-module (gnu packages documentation)
  #:use-module (gnu packages ed)
  #:use-module (gnu packages flex)
  #:use-module (gnu packages fltk)
  #:use-module (gnu packages gcc)
  #:use-module (gnu packages gl)
  #:use-module (gnu packages graphviz)
  #:use-module (gnu packages image)
  #:use-module (gnu packages java)
  #:use-module (gnu packages maths)
  #:use-module (gnu packages mpi)
  #:use-module (gnu packages multiprecision)
  #:use-module (gnu packages ocaml)
  #:use-module (gnu packages perl)
  #:use-module (gnu packages pkg-config)
  #:use-module (gnu packages pulseaudio)
  #:use-module (gnu packages python)
  #:use-module (gnu packages python-xyz)
  #:use-module (gnu packages readline)
  #:use-module (gnu packages shells)
  #:use-module (gnu packages tex)
  #:use-module (gnu packages texinfo)
  #:use-module (gnu packages xiph)
  #:use-module (gnu packages xml)
  #:use-module (gnu packages xorg)
  #:use-module (guix build-system ant)
  #:use-module (guix build-system gnu)
  #:use-module (guix build-system cmake)
  #:use-module (guix build-system python)
  #:use-module (guix build-system r)
  #:use-module (guix download)
  #:use-module (guix git-download)
  #:use-module (guix hg-download)
  #:use-module ((guix licenses) #:prefix license:)
  #:use-module (guix packages)
  #:use-module (guix utils))


(define-public mpfrcx
  (package
   (name "mpfrcx")
   (version "0.6.3")
   (source (origin
            (method url-fetch)
            (uri (string-append
                  "http://www.multiprecision.org/downloads/mpfrcx-"
                  version ".tar.gz"))
            (sha256
             (base32
              "1545vgizpypqi2rrriad0ybqv0qwbn9zr0ibxpk00gha9ihv7acx"))))
   (build-system gnu-build-system)
   (propagated-inputs
     (list gmp mpfr mpc)) ; Header files are included by mpfrcx.h.
   (synopsis "Arithmetic of polynomials over arbitrary precision numbers")
   (description
    "Mpfrcx is a library for the arithmetic of univariate polynomials over
arbitrary precision real (mpfr) or complex (mpc) numbers, without control
on the rounding.  For the time being, only the few functions needed to
implement the floating point approach to complex multiplication are
implemented.  On the other hand, these comprise asymptotically fast
multiplication routines such as Toom–Cook and the FFT.")
   (license license:lgpl3+)
   (home-page "http://www.multiprecision.org/mpfrcx/")))

(define-public gf2x
  (package
   (name "gf2x")
   (version "1.2")
   (source (origin
            (method url-fetch)
            (uri (string-append
                  "https://gforge.inria.fr/frs/download.php/file/36934/gf2x-"
                  version ".tar.gz"))
            (sha256
             (base32
              "0d6vh1mxskvv3bxl6byp7gxxw3zzpkldrxnyajhnl05m0gx7yhk1"))))
   (build-system gnu-build-system)
   (synopsis "Arithmetic of polynomials over binary finite fields")
   (description
    "The gf2x library provides arithmetic of polynomials over finite fields
of characteristic 2.  It implements the multiplication, squaring and
greatest common divisor operations.")
   (license license:gpl3+)
   (home-page "https://gforge.inria.fr/projects/gf2x/")))

(define-public cm
  (package
   (name "cm")
   (version "0.3.1")
   (source (origin
            (method url-fetch)
            (uri (string-append
                  "http://www.multiprecision.org/downloads/cm-"
                  version ".tar.gz"))
            (sha256
             (base32
              "0qq6b1kwb1byj8ws33ya5awq0ilkpm32037pi1l4cf2737fg9m42"))))
   (build-system gnu-build-system)
   (propagated-inputs
     (list mpfrcx zlib)) ; Header files included from cm_common.h.
   (inputs
     (list pari-gp))
   (synopsis "CM constructions for elliptic curves")
   (description
    "The CM software implements the construction of ring class fields of
imaginary quadratic number fields and of elliptic curves with complex
multiplication via floating point approximations.  It consists of libraries
that can be called from within a C program and of executable command
line applications.")
   (license license:gpl3+)
   (home-page "http://www.multiprecision.org/cm/")))

(define-public fplll
  (package
    (name "fplll")
    (version "5.3.3")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/fplll/fplll")
                    (commit version)))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "06nyfidagp8pc2kfcw88ldgb2b1xm0a8z31n0sln7j72ihlmd8zj"))
              (patches (search-patches "fplll-std-fenv.patch"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool pkg-config))
    (propagated-inputs ; header files pulled in by fplll/defs.h
     (list gmp mpfr))
    (home-page "https://github.com/fplll/fplll")
    (synopsis "Library for LLL-reduction of euclidean lattices")
    (description
     "fplll contains implementations of several lattice algorithms.
The implementation relies on floating-point orthogonalization, and LLL
is central to the code, hence the name.

It includes implementations of floating-point LLL reduction
algorithms, offering different speed/guarantees ratios.  It contains
a @emph{wrapper} choosing the estimated best sequence of variants in
order to provide a guaranteed output as fast as possible.  In the case
of the wrapper, the succession of variants is oblivious to the user.

It includes an implementation of the BKZ reduction algorithm,
including the BKZ-2.0 improvements (extreme enumeration
pruning, pre-processing of blocks, early termination).  Additionally,
Slide reduction and self dual BKZ are supported.

It also includes a floating-point implementation of the
Kannan-Fincke-Pohst algorithm that finds a shortest non-zero lattice
vector.  For the same task, the GaussSieve algorithm is also available
in fplll.  Finally, it contains a variant of the enumeration algorithm
that computes a lattice vector closest to a given vector belonging to
the real span of the lattice.")
    (license license:lgpl2.1+)))

(define-public python-fpylll
  (package
    (name "python-fpylll")
    (version "0.5.2")
    (source
     (origin
       ;; Pypi contains and older release, so we use a tagged release from
       ;; Github instead.
       (method git-fetch)
       (uri (git-reference
             (url "https://github.com/fplll/fpylll")
             (commit (string-append version "dev"))))
       (file-name (git-file-name name version))
       (sha256
        (base32
         "1a25iibihph626jl4wbs4b77xc4a2c4nfc2ypscf9wpani3dnhjf"))))
    (build-system python-build-system)
    (inputs
     (list fplll gmp mpfr pari-gp))
    (propagated-inputs
     (list python-cysignals python-cython python-flake8 python-numpy
           python-pytest))
    (home-page "https://github.com/fplll/fpylll")
    (synopsis "Python interface for fplll")
    (description "fpylll is a Python wrapper for fplll.")
    (license license:gpl2+)))

(define-public pari-gp
  (package
    (name "pari-gp")
    (version "2.13.3")
    (source (origin
              (method url-fetch)
              (uri (string-append
                    "https://pari.math.u-bordeaux.fr/pub/pari/unix/pari-"
                    version ".tar.gz"))
              (sha256
               (base32
                "1jm1cz1687cz8pl8lgvmyk3l33cms1xbayv38ca4z1f60qb7zfnc"))))
    (build-system gnu-build-system)
    (native-inputs
     `(("texlive" ,(texlive-updmap.cfg
                    (list texlive-amsfonts)))))
    (inputs (list gmp libx11 perl readline))
    (arguments
     '(#:make-flags '("all")
       #:test-target "dobench"
       #:phases
       (modify-phases %standard-phases
         (replace 'configure
           (lambda* (#:key outputs #:allow-other-keys)
             (invoke "./Configure"
                     (string-append "--prefix="
                                    (assoc-ref outputs "out"))))))))
    (synopsis "PARI/GP, a computer algebra system for number theory")
    (description
     "PARI/GP is a widely used computer algebra system designed for fast
computations in number theory (factorisations, algebraic number theory,
elliptic curves...), but it also contains a large number of other useful
functions to compute with mathematical entities such as matrices,
polynomials, power series, algebraic numbers, etc., and a lot of
transcendental functions.
PARI is also available as a C library to allow for faster computations.")
    (license license:gpl2+)
    (home-page "https://pari.math.u-bordeaux.fr/")))

(define-public gp2c
  (package
   (name "gp2c")
   (version "0.0.12")
   (source (origin
            (method url-fetch)
            (uri (string-append
                  "https://pari.math.u-bordeaux.fr/pub/pari/GP2C/gp2c-"
                  version ".tar.gz"))
            (sha256
              (base32
                "039ip7qkwwv46wrcdrz7y12m30kazzkjr44kqbc0h137g4wzd7zf"))))
   (build-system gnu-build-system)
   (native-inputs (list perl))
   (inputs (list pari-gp))
   (arguments
    '(#:configure-flags
      (list (string-append "--with-paricfg="
                           (assoc-ref %build-inputs "pari-gp")
                           "/lib/pari/pari.cfg"))))
   (synopsis "PARI/GP, a computer algebra system for number theory")
   (description
    "PARI/GP is a widely used computer algebra system designed for fast
computations in number theory (factorisations, algebraic number theory,
elliptic curves...), but it also contains a large number of other useful
functions to compute with mathematical entities such as matrices,
polynomials, power series, algebraic numbers, etc., and a lot of
transcendental functions.
PARI is also available as a C library to allow for faster computations.

GP2C, the GP to C compiler, translates GP scripts to PARI programs.")
   (license license:gpl2)
   (home-page "https://pari.math.u-bordeaux.fr/")))

(define-public cmh
  (package
   (name "cmh")
   (version "1.1.0")
   (source (origin
            (method url-fetch)
            ;; Git repo at <https://gitlab.inria.fr/cmh/cmh>.
            (uri (string-append "http://www.multiprecision.org/downloads/cmh-"
                                version ".tar.gz"))
            (sha256
             (base32
              "1ws2yhzxmm2l5xqqqcjcimmg40f9qq5l9i6d4i5434an9v9s8531"))))
   (build-system gnu-build-system)
   (inputs
     (list gmp
           mpfr
           mpc
           mpfrcx
           fplll
           pari-gp))
   (synopsis "Igusa class polynomial computations")
   (description
    "The CMH software computes Igusa (genus 2) class polynomials, which
parameterize the CM points in the moduli space of 2-dimensional abelian
varieties, i.e. Jacobians of hyperelliptic curves.
It can also be used to compute theta constants at arbitrary
precision.")
   (license license:gpl3+)
   (home-page "http://www.multiprecision.org/cmh/home.html")))

(define-public giac
  (package
    (name "giac")
    (version "1.7.0-45")
    (source
     (origin
       (method url-fetch)
       ;; "~parisse/giac" is not used because the maintainer regularly
       ;; overwrites the release tarball there, introducing a checksum
       ;; mismatch every time.  See
       ;; <https://www-fourier.ujf-grenoble.fr/~parisse/debian/dists/stable/main/source/README>
       (uri (string-append "https://www-fourier.ujf-grenoble.fr/"
                           "~parisse/debian/dists/stable/main/source/"
                           "giac_" version ".tar.gz"))
       (sha256
        (base32 "19hxbx27n5zby96d4pzhxxqn7mzk29g8sxn08fi638l17lr9x2q2"))))
    (build-system gnu-build-system)
    (arguments
     `(#:modules ((ice-9 ftw)
                  (guix build utils)
                  (guix build gnu-build-system))
       #:phases
       (modify-phases %standard-phases
         (add-after 'unpack 'patch-bin-cp
           ;; Some Makefiles contain hard-coded "/bin/cp".
           (lambda _
             (substitute* (cons "micropython-1.12/xcas/Makefile"
                                (find-files "doc" "^Makefile"))
               (("/bin/cp") (which "cp")))))
         (add-after 'unpack 'disable-failing-test
           ;; FIXME: Test failing.  Not sure why.
           (lambda _
             (substitute* "check/Makefile.in"
               (("chk_fhan11") ""))))
         (add-after 'install 'fix-doc
           (lambda* (#:key outputs #:allow-other-keys)
             (let ((out (assoc-ref outputs "out")))
               ;; Most French documentation has a non-commercial
               ;; license, so we need to remove it.
               (with-directory-excursion (string-append out "/share/giac/doc/fr")
                 (for-each delete-file-recursively
                           '("cascas" "casexo" "casgeo" "casrouge" "cassim"
                             "castor")))
               ;; Remove duplicate documentation in
               ;; "%out/share/doc/giac/", where Xcas does not expect
               ;; to find it.
               (delete-file-recursively (string-append out "/share/doc/giac")))))
         (add-after 'install 'remove-unnecessary-executable
           (lambda* (#:key outputs #:allow-other-keys)
             (let ((out (assoc-ref outputs "out")))
               (delete-file (string-append out "/bin/xcasnew"))))))))
    (inputs
     ;; TODO: Add libnauty, unbundle "libmicropython.a".
     (list ao
           fltk
           glpk-4
           gmp
           gsl
           lapack
           libjpeg-turbo
           libpng
           libsamplerate
           libx11
           libxft
           libxinerama
           libxt
           mesa
           mpfi
           mpfr
           ntl
           pari-gp
           perl
           tcsh))
    (native-inputs
     (list bison
           flex
           hevea
           python-wrapper
           readline
           texlive-tiny))
    (home-page "https://www-fourier.ujf-grenoble.fr/~parisse/giac.html")
    (synopsis "Computer algebra system")
    (description
     "Giac/Xcas is a computer algebra system.  It has a compatibility mode for
maple, mupad and the TI89.  It is available as a standalone program (graphic
or text interfaces) or as a C++ library.")
    (license license:gpl3+)))

(define-public flint
  (package
   (name "flint")
   (version "2.8.4")
   (source
    (origin
      (method url-fetch)
      (uri (string-append "http://flintlib.org/flint-" version ".tar.gz"))
      (sha256
       (base32 "1gp4wm2s8c27g2hh53d09cys62da1bsxfwbcsj9cd7cfikm95pv1"))))
   (build-system gnu-build-system)
   (inputs
    (list ntl))
   (propagated-inputs
    (list gmp mpfr)) ; header files from both are included by flint/arith.h
   (arguments
    `(#:parallel-tests? #f              ; seems to be necessary on arm
      #:phases
       (modify-phases %standard-phases
         (add-before 'configure 'newer-c++
           (lambda _
             (substitute* "configure"
               (("-ansi") ""))
             #t))
         (replace 'configure
           (lambda* (#:key inputs outputs #:allow-other-keys)
             (let ((out (assoc-ref outputs "out"))
                   (gmp (assoc-ref inputs "gmp"))
                   (mpfr (assoc-ref inputs "mpfr"))
                   (ntl (assoc-ref inputs "ntl")))
               ;; Do not pass "--enable-fast-install", which makes the
               ;; homebrew configure process fail.
               (invoke "./configure"
                       (string-append "--prefix=" out)
                       (string-append "--with-gmp=" gmp)
                       (string-append "--with-mpfr=" mpfr)
                       (string-append "--with-ntl=" ntl))
               #t))))))
   (synopsis "Fast library for number theory")
   (description
    "FLINT is a C library for number theory.  It supports arithmetic
with numbers, polynomials, power series and matrices over many base
rings, including multiprecision integers and rationals, integers
modulo n, p-adic numbers, finite fields (prime and non-prime order)
and real and complex numbers (via the Arb extension library).

Operations that can be performed include conversions, arithmetic,
GCDs, factoring, solving linear systems, and evaluating special
functions.  In addition, FLINT provides various low-level routines for
fast arithmetic.")
   (license license:lgpl2.1+)
   (home-page "http://flintlib.org/")))

(define-public arb
  (package
    (name "arb")
    (version "2.21.1")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/fredrik-johansson/arb")
                    (commit version)))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "1lmcl122qy6mr1g1y65bm7dk9fj0sym7gzmvar5vdgk7ln03c5iq"))))
    (build-system gnu-build-system)
    (propagated-inputs
     (list flint))               ; flint.h is included by arf.h
    (inputs
     (list gmp mpfr))
    (arguments
     `(#:phases
       (modify-phases %standard-phases
         (replace 'configure
           (lambda* (#:key inputs outputs #:allow-other-keys)
             (let ((out (assoc-ref outputs "out"))
                   (flint (assoc-ref inputs "flint"))
                   (gmp (assoc-ref inputs "gmp"))
                   (mpfr (assoc-ref inputs "mpfr")))
               ;; Do not pass "--enable-fast-install", which makes the
               ;; homebrew configure process fail.
               (invoke "./configure"
                       (string-append "--prefix=" out)
                       (string-append "--with-flint=" flint)
                       (string-append "--with-gmp=" gmp)
                       (string-append "--with-mpfr=" mpfr))))))))
    (home-page "https://arblib.org")
    (synopsis "Arbitrary precision floating-point ball arithmetic")
    (description
     "Arb is a C library for arbitrary-precision floating-point ball
arithmetic.  It supports efficient high-precision computation with
polynomials, power series, matrices and special functions over the
real and complex numbers, with automatic, rigorous error control.")
    (license license:lgpl2.1+)))

(define-public python-flint
  (package
    (name "python-flint")
    (version "0.3.0")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/fredrik-johansson/python-flint")
                    (commit version)))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "1v0anazbj1cfi68nl2j6dbd31kgkc1563xmr0zk5xk3xj78569pw"))
              (patches (search-patches "python-flint-includes.patch"))))
    (build-system python-build-system)
    (native-inputs
     (list python-cython))
    (propagated-inputs
     (list python-numpy))
    (inputs
     (list arb flint))
    (synopsis "Python module wrapping ARB and FLINT")
    (description
     "Python-flint is a Python extension module wrapping FLINT
(Fast Library for Number Theory) and Arb (arbitrary-precision ball
arithmetic).  It supports integers, rationals, modular integers,
real and complex ball arithmetic, polynomials and matrices over all
these types and other mathematical functions.")
    (license license:expat)
    (home-page "https://fredrikj.net/python-flint/")))

(define-public ntl
  (package
   (name "ntl")
   (version "11.4.4")
   (source (origin
            (method url-fetch)
            (uri (string-append "https://shoup.net/ntl/ntl-"
                                version ".tar.gz"))
            (sha256
             (base32
              "1nr1h27j2gdz6badzz9lk2pknxhdijqdxqhd3haryh0sw616wzwx"))
            (modules '((guix build utils)))
            (snippet
             '(begin
                (delete-file-recursively "src/libtool-origin")
                #t))))
   (build-system gnu-build-system)
   (native-inputs
    (list libtool perl)) ; for configuration
   (inputs
    (list gmp gf2x))
   (arguments
    `(#:phases
      (modify-phases %standard-phases
        (replace 'configure
         (lambda* (#:key inputs outputs #:allow-other-keys)
           (chdir "src")
           (invoke "./configure"
                    (string-append "PREFIX=" (assoc-ref outputs "out"))
                    (string-append "LIBTOOL=" (assoc-ref inputs "libtool") "/bin/libtool")
                    ;; set the library prefixes explicitly so that they get
                    ;; embedded in the .la file
                    (string-append "GMP_PREFIX=" (assoc-ref inputs "gmp"))
                    (string-append "GF2X_PREFIX=" (assoc-ref inputs "gf2x"))
                    ;; Do not build especially for the build machine.
                    "NATIVE=off"
                    "NTL_GF2X_LIB=on"
                    "SHARED=on"))))))
   (synopsis "C++ library for number theory")
   (description
    "NTL is a C++ library providing data structures and algorithms
for manipulating signed, arbitrary length integers, and for vectors,
matrices, and polynomials over the integers and over finite fields.")
   (license license:gpl2+)
   (home-page "https://shoup.net/ntl/")))

(define-public singular
  (package
   (name "singular")
   (version "4.2.1")
   (source
    (origin
      (method url-fetch)
      (uri
       (string-append "http://www.mathematik.uni-kl.de/ftp/pub/Math/"
                      "Singular/SOURCES/"
                      (string-join
                       (string-split
                        (let ((index (string-index version #\p)))
                          (if index (string-take version index)
                                    version))
                        #\.) "-")
                      "/singular-" version ".tar.gz"))
             (sha256 (base32
                      "13gy1gdng8zijwlr1fn5sixw53z0zf9czzlg0vh1dcc59zw6v998"))))
   (build-system gnu-build-system)
   (native-inputs
    (list doxygen graphviz perl))
   (inputs
    `(("cddlib" ,cddlib)
      ("gmp" ,gmp)
      ("flint" ,flint)
      ("mpfr" ,mpfr)
      ("ntl" ,ntl)
      ("python" ,python-2)
      ("readline" ,readline)))
   (arguments
    `(#:configure-flags
      (list (string-append "--with-ntl="
                           (assoc-ref %build-inputs "ntl")))))
   (synopsis "Computer algebra system for polynomial computations")
   (description
    "Singular is a computer algebra system for polynomial computations,
with special emphasis on commutative and non-commutative algebra, algebraic
geometry and singularity theory.")
   ;; Singular itself is dual licensed gpl2 or gpl3, but some of the
   ;; libraries with which it links are licensed under lgpl3+, so the
   ;; combined work becomes gpl3. See COPYING in the source code.
   (license license:gpl3)
   (home-page "https://www.singular.uni-kl.de/index.php")))

(define-public gmp-ecm
  (package
   (name "gmp-ecm")
   (version "7.0.4")
   (source (origin
             (method url-fetch)
             (uri
               (let ((hash "00c4c691a1ef8605b65bdf794a71539d"))
                    (string-append "https://gitlab.inria.fr/zimmerma/ecm/"
                                   "uploads/" hash "/ecm-" version
                                   ".tar.gz")))
             (sha256 (base32
                      "0hxs24c2m3mh0nq1zz63z3sb7dhy1rilg2s1igwwcb26x3pb7xqc"))))
   (build-system gnu-build-system)
   (inputs
    (list gmp))
   (arguments
    `(#:configure-flags '("--enable-shared"
                          ;; Disable specific assembly routines, which depend
                          ;; on the subarchitecture of the build machine,
                          ;; and use gmp instead.
                          "--disable-asm-redc")))
   (synopsis "Integer factorization library using the elliptic curve method")
   (description
    "GMP-ECM factors integers using the elliptic curve method (ECM) as well
as the P-1 and P+1 algorithms.  It provides a library and a stand-alone
binary.")
   ;; Most files are under lgpl3+, but some are under gpl3+ or gpl2+,
   ;; so the combined work is under gpl3+.
   (license license:gpl3+)
   (home-page "http://ecm.gforge.inria.fr/")))

(define-public bc
  (package
    (name "bc")
    (version "1.07.1")
    (source (origin
             (method url-fetch)
             (uri (string-append "mirror://gnu/bc/bc-" version ".tar.gz"))
             (sha256
              (base32
               "0amh9ik44jfg66csyvf4zz1l878c4755kjndq9j0270akflgrbb2"))
             (patches (search-patches "bc-fix-cross-compilation.patch"))))
    (build-system gnu-build-system)
    (native-inputs
     (list automake autoconf ed flex texinfo))
    (inputs
     (list readline))
    (arguments
     '(#:configure-flags
       (list "--with-readline")
       #:phases
       (modify-phases %standard-phases
         (replace 'bootstrap
           (lambda _
             (invoke "autoreconf" "-vif"))))))
    (home-page "https://www.gnu.org/software/bc/")
    (synopsis "Arbitrary precision numeric processing language")
    (description
     "bc is an arbitrary precision numeric processing language.  It includes
an interactive environment for evaluating mathematical statements.  Its
syntax is similar to that of C, so basic usage is familiar.  It also includes
\"dc\", a reverse-polish calculator.")
    (license license:gpl2+)))

;; The original kiss-fft does not have a complete build system and does not
;; build any shared libraries.  This is a fork used by Extempore.
(define-public kiss-fft-for-extempore
  (package
    (name "kiss-fft-for-extempore")
    (version "1.3.0")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/extemporelang/kiss_fft")
                    (commit version)))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "0jasbmqy4wkqrqx3w64s1dfmj34875xmsl72mb26aa4hpyn14bi2"))))
    (build-system cmake-build-system)
    (arguments `(#:tests? #f)) ; no tests included
    ;; Extempore refuses to build on architectures other than x86_64
    (supported-systems '("x86_64-linux"))
    (home-page "https://github.com/extemporelang/kiss_fft")
    (synopsis "Mixed-radix Fast Fourier Transform")
    (description
     "Kiss FFT attempts to be a reasonably efficient, moderately useful FFT
that can use fixed or floating data types and can easily be incorporated into
a C program.")
    (license license:bsd-3)))

(define-public fftw
  (package
    (name "fftw")
    (version "3.3.8")
    (source (origin
             (method url-fetch)
             (uri (string-append "ftp://ftp.fftw.org/pub/fftw/fftw-"
                                 version".tar.gz"))
             (sha256
              (base32
               "00z3k8fq561wq2khssqg0kallk0504dzlx989x3vvicjdqpjc4v1"))))
    (build-system gnu-build-system)
    (arguments
     `(#:configure-flags
       '("--enable-shared" "--enable-openmp" "--enable-threads"
         ,@(let ((system (or (%current-target-system) (%current-system))))
             ;; Enable SIMD extensions for codelets.  See details at:
             ;; <http://fftw.org/fftw3_doc/Installation-on-Unix.html>.
             (cond
              ((string-prefix? "x86_64" system)
               '("--enable-sse2" "--enable-avx" "--enable-avx2"
                 "--enable-avx512" "--enable-avx-128-fma"))
              ((string-prefix? "i686" system)
               '("--enable-sse2"))
              ((string-prefix? "aarch64" system)
               ;; Note that fftw supports NEON on 32-bit ARM only when
               ;; compiled for single-precision.
               '("--enable-neon"))
              (else
               '())))
         ;; By default '-mtune=native' is used.  However, that may cause the
         ;; use of ISA extensions (e.g. AVX) that are not necessarily
         ;; available on the user's machine when that package is built on a
         ;; different machine.
         "ax_cv_c_flags__mtune_native=no")))
    (native-inputs (list perl))
    (home-page "http://fftw.org")
    (synopsis "Computing the discrete Fourier transform")
    (description
     "FFTW is a C subroutine library for computing the discrete Fourier
transform (DFT) in one or more dimensions, of arbitrary input size, and of
both real and complex data (as well as of even/odd data---i.e. the discrete
cosine/ sine transforms or DCT/DST).")
    (license license:gpl2+)))

(define-public fftwf
  (package/inherit fftw
    (name "fftwf")
    (arguments
     (substitute-keyword-arguments (package-arguments fftw)
       ((#:configure-flags fftw-configure-flags)
        `(cons* "--enable-single"
                ,@(if (string-prefix? "arm" (or (%current-target-system)
                                                (%current-system)))
                      ;; fftw supports NEON on 32-bit ARM only when compiled
                      ;; for single-precision, so add it here.
                      '("--enable-neon")
                      '())
                ,fftw-configure-flags))))
    (description
     (string-append (package-description fftw)
                    "  Single-precision version."))))

(define-public fftw-openmpi
  (package/inherit fftw
    (name "fftw-openmpi")
    (inputs
     `(("openmpi" ,openmpi)
       ,@(package-inputs fftw)))
    (arguments
     (substitute-keyword-arguments (package-arguments fftw)
       ((#:configure-flags cf)
        `(cons "--enable-mpi" ,cf))
       ((#:phases phases '%standard-phases)
        `(modify-phases ,phases
           (add-before 'check 'mpi-setup
             ,%openmpi-setup)))))
    (description
     (string-append (package-description fftw)
                    "  With OpenMPI parallelism support."))))

(define-public java-la4j
  (package
    (name "java-la4j")
    (version "0.6.0")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/vkostyukov/la4j")
                    (commit version)))
              (file-name (string-append name "-" version "-checkout"))
              (sha256
               (base32
                "1qir8dr978cfvz9k12m2kbdwpyf6cqdf1d0ilb7lnkhbgq5i53w3"))))
    (build-system ant-build-system)
    (arguments
     `(#:jar-name "la4j.jar"
       #:jdk ,icedtea-8
       #:test-exclude (list "**/Abstract*.java"
                            "**/MatrixTest.java"
                            "**/DenseMatrixTest.java"
                            "**/SparseMatrixTest.java"
                            "**/VectorTest.java"
                            "**/SparseVectorTest.java"
                            "**/DenseVectorTest.java")))
    (native-inputs
     (list java-junit java-hamcrest-core))
    (home-page "http://la4j.org/")
    (synopsis "Java library that provides Linear Algebra primitives and algorithms")
    (description "The la4j library is a Java library that provides Linear
Algebra primitives (matrices and vectors) and algorithms.  The key features of
the la4j library are:

@itemize
@item No dependencies and tiny size
@item Fluent object-oriented/functional API
@item Sparse (CRS, CCS) and dense (1D/2D arrays) matrices
@item Linear systems solving (Gaussian, Jacobi, Zeidel, Square Root, Sweep and other)
@item Matrices decomposition (Eigenvalues/Eigenvectors, SVD, QR, LU, Cholesky and other)
@item MatrixMarket/CSV IO formats support for matrices and vectors
@end itemize\n")
    (license license:asl2.0)))

(define-public java-jlargearrays
  (package
    (name "java-jlargearrays")
    (version "1.6")
    (source (origin
              (method url-fetch)
              (uri (string-append "https://repo1.maven.org/maven2/"
                                  "pl/edu/icm/JLargeArrays/"
                                  version "/JLargeArrays-" version
                                  "-sources.jar"))
              (file-name (string-append name "-" version ".jar"))
              (sha256
               (base32
                "0v05iphpxbjnd7f4jf1rlqq3m8hslhcm0imdbsgxr20pi3xkaf2a"))))
    (build-system ant-build-system)
    (arguments
     `(#:jar-name "jlargearrays.jar"
       #:tests? #f ; tests are not included in the release archive
       #:jdk ,icedtea-8))
    (propagated-inputs
     (list java-commons-math3))
    (home-page "https://gitlab.com/ICM-VisLab/JLargeArrays")
    (synopsis "Library of one-dimensional arrays that can store up to 263 elements")
    (description "JLargeArrays is a Java library of one-dimensional arrays
that can store up to 263 elements.")
    (license license:bsd-2)))

(define-public java-jtransforms
  (package
    (name "java-jtransforms")
    (version "3.1")
    (source (origin
              (method url-fetch)
              (uri (string-append "https://repo1.maven.org/maven2/"
                                  "com/github/wendykierp/JTransforms/"
                                  version "/JTransforms-" version "-sources.jar"))
              (sha256
               (base32
                "1haw5m8shv5srgcpwkl853dz8bv6h90bzlhcps6mdpb4cixjirsg"))))
    (build-system ant-build-system)
    (arguments
     `(#:jar-name "jtransforms.jar"
       #:tests? #f ; tests are not included in the release archive
       #:jdk ,icedtea-8))
    (propagated-inputs
     (list java-commons-math3 java-jlargearrays))
    (home-page "https://github.com/wendykierp/JTransforms")
    (synopsis "Multithreaded FFT library written in pure Java")
    (description "JTransforms is a multithreaded FFT library written in pure
Java.  Currently, four types of transforms are available: @dfn{Discrete
Fourier Transform} (DFT), @dfn{Discrete Cosine Transform} (DCT), @dfn{Discrete
Sine Transform} (DST) and @dfn{Discrete Hartley Transform} (DHT).")
    (license license:bsd-2)))

(define-public lmfit
  (package
    (name "lmfit")
    (version "8.2.2")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://jugit.fz-juelich.de/mlz/lmfit.git")
                    (commit (string-append "v" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "00bch77a6qgnw6vzsjn2a42n8n683ih3xm0wpr454jxa15hw78vf"))))
    (build-system cmake-build-system)
    (native-inputs
     (list perl))                   ; for pod2man
    (home-page "https://jugit.fz-juelich.de/mlz/lmfit")
    (synopsis "Levenberg-Marquardt minimization and least-squares fitting")
    (description "lmfit is a C library for Levenberg-Marquardt least-squares
minimization and curve fitting.  It is mature code, based on decades-old
algorithms from the FORTRAN library MINPACK.")
    (license license:bsd-2)))

(define-public symengine
  (package
    (name "symengine")
    (version "0.6.0")
    (source
     (origin
       (method git-fetch)
       (uri (git-reference
             (url "https://github.com/symengine/symengine")
             (commit (string-append "v" version))))
       (file-name (git-file-name name version))
       (sha256
        (base32 "129iv9maabmb42ylfdv0l0g94mcbf3y4q3np175008rcqdr8z6h1"))))
    (build-system cmake-build-system)
    (arguments
     '(#:configure-flags
       ;; These are the suggested build options in the README.
       '("-DCMAKE_BUILD_TYPE=Release"
         "-DWITH_GMP=on"
         "-DWITH_MPFR=on"
         "-DWITH_MPC=on"
         "-DINTEGER_CLASS=flint"
         "-DWITH_SYMENGINE_THREAD_SAFE=on"
         "-DBUILD_SHARED_LIBS=on")))    ;also build libsymengine
    (inputs
     (list flint gmp mpc mpfr))
    (home-page "https://github.com/symengine/symengine")
    (synopsis "Fast symbolic manipulation library")
    (description
     "SymEngine is a standalone fast C++ symbolic manipulation library.
Optional thin wrappers allow usage of the library from other languages.")
    (license (list license:expat        ;SymEngine
                   license:bsd-3))))    ;3rd party code

(define-public ginac
  (package
    (name "ginac")
    (version "1.8.1")
    (source
     (origin
       (method url-fetch)
       (uri (string-append "https://www.ginac.de/ginac-"
                           version ".tar.bz2"))
       (sha256
        (base32 "1az1ypfcny4jdz0mic1kywwa9nynr547cl5s7zpn2w0qdfymssgi"))))
    (build-system gnu-build-system)
    (arguments
     `(#:configure-flags (list "--disable-static")))
    (native-inputs
     `(("bison" ,bison)
       ("flex" ,flex)
       ("pkg-config" ,pkg-config)
       ("python" ,python-wrapper))) ; Python is required
    (inputs
     (list cln readline))
    (home-page "https://www.ginac.de/")
    (synopsis "Library for symbolic computation")
    (description "GiNaC is a C++ library for symbolic computation.  Contrary
to other CAS it does not try to provide extensive algebraic capabilities and a
simple programming language but instead accepts a given language (C++) and
extends it by a set of algebraic capabilities.")
    (license license:gpl2+)))

(define-public eigen
  (package
    (name "eigen")
    (version "3.3.8")
    (source (origin
              (method url-fetch)
              (uri (list
                     (string-append "https://bitbucket.org/eigen/eigen/get/"
                                    version ".tar.bz2")
                     (string-append "mirror://debian/pool/main/e/eigen3/eigen3_"
                                    version ".orig.tar.bz2")))
              (sha256
               (base32
                "1vxrsncfnkyq6gwxpsannpryp12mk7lc8f42ybvz3saf7icwc582"))
              (file-name (string-append name "-" version ".tar.bz2"))
              (patches (search-patches "eigen-remove-openmp-error-counting.patch"
                                       "eigen-stabilise-sparseqr-test.patch"))
              (modules '((guix build utils)))
              (snippet
               ;; There are 3 test failures in the "unsupported" directory,
               ;; but maintainers say it's a known issue and it's unsupported
               ;; anyway, so just skip them.
               '(begin
                  (substitute* "unsupported/CMakeLists.txt"
                    (("add_subdirectory\\(test.*")
                     "# Do not build the tests for unsupported features.\n"))
                  #t))))
    (build-system cmake-build-system)
    (arguments
     '(;; Turn off debugging symbols to save space.
       #:build-type "Release"

       #:phases (modify-phases %standard-phases
                  (replace 'check
                    (lambda _
                      (let* ((cores  (parallel-job-count))
                             (dash-j (format #f "-j~a" cores)))
			(setenv "EIGEN_SEED" "1") ;for reproducibility
                        ;; First build the tests, in parallel.  See
                        ;; <http://eigen.tuxfamily.org/index.php?title=Tests>.
                        (invoke "make" "buildtests" dash-j)

                        ;; Then run 'CTest' with -V so we get more
                        ;; details upon failure.
                        (invoke "ctest" "-V" dash-j)))))))
    (home-page "https://eigen.tuxfamily.org")
    (synopsis "C++ template library for linear algebra")
    (description
     "Eigen is a C++ template library for linear algebra: matrices, vectors,
numerical solvers, and related algorithms.  It provides an elegant API based
on \"expression templates\".  It is versatile: it supports all matrix sizes,
all standard numeric types, various matrix decompositions and geometry
features, and more.")

    ;; Most of the code is MPLv2, with a few files under LGPLv2.1+ or BSD-3.
    ;; See 'COPYING.README' for details.
    (license license:mpl2.0)))

(define-public eigen-benchmarks
  (package
    (inherit eigen)
    (name "eigen-benchmarks")
    (arguments
     '(#:phases (modify-phases %standard-phases
                  (delete 'configure)
                  (replace 'build
                    (lambda* (#:key outputs #:allow-other-keys)
                      (let* ((out (assoc-ref outputs "out"))
                             (bin (string-append out "/bin")))
                        (define (compile file)
                          (format #t "compiling '~a'...~%" file)
                          (let ((target
                                 (string-append bin "/"
                                                (basename file ".cpp"))))
                            (invoke "c++" "-o" target file
                                    "-I" ".." "-O2" "-g"
                                    "-lopenblas" "-Wl,--as-needed")))

                        (mkdir-p bin)
                        (with-directory-excursion "bench"
                          ;; There are more benchmarks, of varying quality.
                          ;; Here we pick some that appear to be useful.
                          (for-each compile
                                    '("benchBlasGemm.cpp"
                                      "benchCholesky.cpp"
                                      ;;"benchEigenSolver.cpp"
                                      "benchFFT.cpp"
                                      "benchmark-blocking-sizes.cpp"))))))
                  (delete 'install))))
    (inputs (list boost openblas))

    ;; Mark as tunable to take advantage of SIMD code in Eigen.
    (properties '((tunable? . #t)))

    (synopsis "Micro-benchmarks of the Eigen linear algebra library")))

(define-public eigen-for-tensorflow
  (let ((changeset "fd6845384b86")
        (revision "1"))
    (package (inherit eigen)
      (name "eigen-for-tensorflow")
      (version (string-append "3.3.5-" revision "." changeset))
      (source (origin
                (method hg-fetch)
                (uri (hg-reference
                      (url "https://bitbucket.org/eigen/eigen")
                      (changeset changeset)))
                (sha256
                 (base32
                  "12cwgah63wqwb66xji048hcxc1z5zjg8a7701zlia5zbilnnk1n5"))
                (file-name (string-append name "-" version "-checkout"))
                (modules '((guix build utils)))
                (snippet
                 ;; There are 3 test failures in the "unsupported" directory,
                 ;; but maintainers say it's a known issue and it's unsupported
                 ;; anyway, so just skip them.
                 '(begin
                    (substitute* "unsupported/CMakeLists.txt"
                      (("add_subdirectory\\(test.*")
                       "# Do not build the tests for unsupported features.\n"))))))
      (native-inputs
       (list gcc-7)))))

(define-public eigen-for-tensorflow-lite
  ;; This commit was taken from
  ;; tensorflow/lite/tools/cmake/modules/eigen.cmake
  (let ((commit "d10b27fe37736d2944630ecd7557cefa95cf87c9")
        (revision "1"))
    (package (inherit eigen)
      (name "eigen-for-tensorflow-lite")
      (version (git-version "3.3.7" revision commit))
      (source (origin
                (method git-fetch)
                (uri (git-reference
                      (url "https://gitlab.com/libeigen/eigen")
                      (commit commit)))
                (sha256
                 (base32
                  "0v8a20cwvwmp3hw4275b37frw33v92z0mr8f4dn6y8k0rz92hrrf"))
                (file-name (git-file-name name version))
                (modules '((guix build utils)))
                (snippet
                 ;; Ther are test failures in the "unsupported" directory, but
                 ;; maintainers say it's unsupported anyway, so just skip
                 ;; them.
                 '(begin
                    (substitute* "unsupported/CMakeLists.txt"
                      (("add_subdirectory\\(test.*")
                       "# Do not build the tests for unsupported features.\n")))))))))

(define-public xtensor
  (package
    (name "xtensor")
    (version "0.20.10")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/xtensor-stack/xtensor")
                    (commit version)))
              (sha256
               (base32
                "1fmv2hpx610xwhxrndfsfvlbqfyk4l3gi5q5d7pa9m82kblxjj9l"))
              (file-name (git-file-name name version))))
    (build-system cmake-build-system)
    (native-inputs
     (list googletest xtl))
    (arguments
     `(#:configure-flags
       '("-DBUILD_TESTS=ON")
       #:test-target "xtest"))
    (home-page "https://xtensor.readthedocs.io/en/latest/")
    (synopsis "C++ tensors with broadcasting and lazy computing")
    (description "xtensor is a C++ library meant for numerical analysis with
multi-dimensional array expressions.

xtensor provides:
@itemize
@item an extensible expression system enabling lazy broadcasting.
@item an API following the idioms of the C++ standard library.
@item tools to manipulate array expressions and build upon xtensor.
@end itemize")
    (license license:bsd-3)))

(define-public xtensor-benchmark
  (package
    (inherit xtensor)
    (name "xtensor-benchmark")
    (arguments
     `(#:configure-flags (list "-DBUILD_BENCHMARK=ON"
                               "-DDOWNLOAD_GBENCHMARK=OFF")
       #:tests? #f
       #:phases (modify-phases %standard-phases
                  (add-after 'unpack 'remove-march=native
                    (lambda _
                      (substitute* "benchmark/CMakeLists.txt"
                        (("-march=native") ""))))
                  (add-after 'unpack 'link-with-googlebenchmark
                    (lambda _
                      (substitute* "benchmark/CMakeLists.txt"
                        (("find_package\\(benchmark.*" all)
                         (string-append
                          all "\n"
                          "set(GBENCHMARK_LIBRARIES benchmark)\n")))))
                  (replace 'build
                    (lambda _
                      (invoke "make" "benchmark_xtensor" "-j"
                              (number->string (parallel-job-count)))))
                  (replace 'install
                    (lambda* (#:key outputs #:allow-other-keys)
                      ;; Install nothing but the executable.
                      (let ((out (assoc-ref outputs "out")))
                        (install-file "benchmark/benchmark_xtensor"
                                      (string-append out "/bin"))))))))
    (synopsis "Benchmarks of the xtensor library")
    (native-inputs '())
    (inputs
     (modify-inputs (package-native-inputs xtensor)
       (prepend googlebenchmark xsimd)))

    ;; Mark as tunable to take advantage of SIMD code in xsimd/xtensor.
    (properties '((tunable? . #t)))))

(define-public gap
  (package
    (name "gap")
    (version "4.11.0")
    (source
     (origin
       (method url-fetch)
       (uri (string-append "https://files.gap-system.org/gap-"
                           (version-major+minor version)
                           "/tar.bz2/gap-"
                           version
                           ".tar.bz2"))
       (sha256
        (base32 "00l6hvy4iggnlrib4vp805sxdm3j7n3hzpv5zs9hbiiavh80l1xz"))
       (modules '((guix build utils) (ice-9 ftw) (srfi srfi-1)))
       (snippet
        '(begin
           ;; Delete the external gmp and zlib libraries
           ;; and a subdirectory not needed for our build.
           (for-each delete-file-recursively
                     '("extern" "hpcgap"))
           ;; Delete a failing test.
           ;; FIXME: This might be fixed in the next release, see
           ;; https://github.com/gap-system/gap/issues/3292
           (delete-file "tst/testinstall/dir.tst")
           ;; Delete all packages except for a fixed list,
           ;; given by their names up to version numbers.
           (with-directory-excursion "pkg"
             (for-each delete-file-recursively
               (lset-difference
                 (lambda (all keep) (string-prefix? keep all))
                 (scandir ".")
                 '("." ".."
                   ;; Necessary packages.
                   "GAPDoc-"
                   "primgrp-"
                   "SmallGrp-"   ; artistic2.0
                   "transgrp"    ; artistic2.0 for data,
                                 ; gpl2 or gpl3 for code
                   ;; Recommended package.
                   "io-"         ; gpl3+
                   ;; Optional packages, searched for at start,
                   ;; and their depedencies.
                   "alnuth-"
                   "autpgrp-"
                   "crisp-"      ; bsd-2
                   "ctbllib"     ; gpl3+, clarified in the next release;
                                 ; see
                                 ; http://www.math.rwth-aachen.de/~Thomas.Breuer/ctbllib/README.md
                   "FactInt-"
                   "fga"
                   "irredsol-"   ; bsd-2
                   "laguna-"
                   "polenta-"
                   "polycyclic-"
                   "radiroot-"
                   "resclasses-"
                   "sophus-"
                   "tomlib-"
                   "utils-"))))
           #t))))
    (build-system gnu-build-system)
    (inputs
     (list gmp readline zlib))
    (arguments
     `(#:modules ((ice-9 ftw)
                  (srfi srfi-26)
                  (guix build gnu-build-system)
                  (guix build utils))
       #:phases
       (modify-phases %standard-phases
         (add-after 'build 'build-packages
           ;; Compile all packages that have not been deleted by the
           ;; code snippet above.
           (lambda _
             (setenv "CONFIG_SHELL" (which "bash"))
             (with-directory-excursion "pkg"
               (invoke "../bin/BuildPackages.sh")
             #t)))
         (add-after 'build-packages 'build-doc
           ;; The documentation is bundled, but we create it from source.
           (lambda _
             (with-directory-excursion "doc"
               (invoke "./make_doc"))
             #t))
         (replace 'install
           (lambda* (#:key outputs #:allow-other-keys)
             (let* ((out (assoc-ref outputs "out"))
                    (bin (string-append out "/bin"))
                    (prog (string-append bin "/gap"))
                    (prog-real (string-append bin "/.gap-real"))
                    (share (string-append out "/share/gap")))
               ;; Install only the gap binary; the gac compiler is left
               ;; for maybe later. "Wrap" it in a shell script that calls
               ;; the binary with the correct parameter.
               ;; The make target install-bin is supposed to do that, but
               ;; is not currently working.
               (mkdir-p bin)
               (copy-file "gap" prog-real)
               (call-with-output-file prog
                 (lambda (port)
                   (format port
                           "#!~a~%exec ~a -l ~a \"$@\"~%"
                           (which "bash")
                           prog-real
                           share)))
               (chmod prog #o755)
               ;; Install the headers and library, which are needed by Sage.
               (invoke "make" "install-headers")
               (invoke "make" "install-libgap")
               ;; Remove information on the build directory from sysinfo.gap.
               (substitute* "sysinfo.gap"
                 (("GAP_BIN_DIR=\".*\"") "GAP_BIN_DIR=\"\"")
                 (("GAP_LIB_DIR=\".*\"") "GAP_LIB_DIR=\"\"")
                 (("GAP_CPPFLAGS=\".*\"") "GAP_CPPFLAGS=\"\""))
               (invoke "make" "install-gaproot")
               ;; Copy the directory of compiled packages; the make target
               ;; install-pkg is currently empty.
               (copy-recursively "pkg" (string-append share "/pkg")))
             #t)))))
    (home-page "https://www.gap-system.org/")
    (synopsis
     "System for computational group theory")
    (description
     "GAP is a system for computational discrete algebra, with particular
emphasis on computational group theory.  It provides a programming language,
a library of thousands of functions implementing algebraic algorithms
written in the GAP language as well as large data libraries of algebraic
objects.")
    ;; Some packages have different licenses (effectively forcing the
    ;; combined work to be licensed as gpl3+); if this is the case, this
    ;; is mentioned above next to their name.
    ;; Some packages have no license mentioned explicitly; supposedly this
    ;; means that the gpl2+ licence of GAP itself applies, but to be on the
    ;; safe side, we drop them for now.
    (license license:gpl2+)))

(define-public gappa
  (package
   (name "gappa")
   (version "1.3.5")
   (source (origin
            (method url-fetch)
            (uri (string-append "https://gforge.inria.fr/frs/download.php/latestfile/"
                                "2699/gappa-" version ".tar.gz"))
            (sha256
             (base32
              "0q1wdiwqj6fsbifaayb1zkp20bz8a1my81sqjsail577jmzwi07w"))))
   (build-system gnu-build-system)
   (inputs
    (list boost gmp mpfr))
   (arguments
    `(#:phases
      (modify-phases %standard-phases
        (add-after 'unpack 'patch-remake-shell
          (lambda _
            (substitute* "remake.cpp"
             (("/bin/sh") (which "sh")))
            #t))
        (replace 'build
          (lambda _ (invoke "./remake" "-s" "-d")))
        (replace 'install
          (lambda _ (invoke "./remake" "-s" "-d" "install")))
        (replace 'check
          (lambda _ (invoke "./remake" "check"))))))
   (home-page "http://gappa.gforge.inria.fr/")
   (synopsis "Proof generator for arithmetic properties")
   (description "Gappa is a tool intended to help verifying and formally
proving properties on numerical programs dealing with floating-point or
fixed-point arithmetic.  It has been used to write robust floating-point
filters for CGAL and it is used to certify elementary functions in CRlibm.
While Gappa is intended to be used directly, it can also act as a backend
prover for the Why3 software verification platform or as an automatic tactic
for the Coq proof assistant.")
   (license (list license:gpl3+ license:cecill-c)))) ; either/or

(define-public givaro
  (package
    (name "givaro")
    (version "4.1.1")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/linbox-team/givaro")
                    (commit (string-append "v" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "11wz57q6ijsvfs5r82masxgr319as92syi78lnl9lgdblpc6xigk"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool))
    (propagated-inputs
     (list gmp)) ; gmp++.h includes gmpxx.h
    (synopsis "Algebraic computations with exact rings and fields")
    (description
     "Givaro is a C++ library implementing the basic arithmetic of various
algebraic objects: prime fields, extension fields, finite fields, finite
rings, polynomials, algebraic numbers, arbitrary precision integers and
rationals (C++ wrappers over gmp), fixed precision integers.  It also
provides data-structures and templated classes for the manipulation of
compound objects, such as vectors, matrices and univariate polynomials.")
    (license license:cecill-b)
    (home-page "https://github.com/linbox-team/givaro")))

(define-public fflas-ffpack
  (package
    (name "fflas-ffpack")
    (version "2.4.3")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/linbox-team/fflas-ffpack")
                    (commit version)))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "1ynbjd72qrwp0b4kpn0p5d7gddpvj8dlb5fwdxajr5pvkvi3if74"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool pkg-config))
    (inputs
     (list openblas))
    (propagated-inputs
     (list givaro)) ; required according to the .pc file
    (arguments
     `(#:configure-flags
       (list (string-append "--with-blas-libs="
                            (assoc-ref %build-inputs "openblas")
                            "/lib/libopenblas.so"))))
    (synopsis "C++ library for linear algebra over finite fields")
    (description
     "FFLAS-FFPACK is a C++ template library for basic linear algebra
operations over a finite field.
FFLAS (Finite Field Linear Algebra Subprograms) provides the implementation
of a subset of routines of the numerical BLAS; it also supports sparse
matrix-vector products.
FFPACK (Finite Field Linear Algebra Package) is inspired by the LAPACK
library to provide functionalities of higher level, using the kernel
of a BLAS.  Additionally, it provides routines specific to exact linear
algebra, such as the row echelon form.")
    (license license:lgpl2.1+)
    (home-page "https://linbox-team.github.io/fflas-ffpack/")))

(define-public linbox
  (package
    (name "linbox")
    (version "1.6.3")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/linbox-team/linbox")
                    (commit (string-append "v" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "10j6dspbsq7d2l4q3y0c1l1xwmaqqba2fxg59q5bhgk9h5d7q571"))
              (patches (search-patches "linbox-fix-pkgconfig.patch"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool pkg-config))
    (propagated-inputs
     (list fflas-ffpack))
    (synopsis "C++ library for linear algebra over exact rings")
    (description
     "LinBox is a C++ template library for exact linear algebra computation
with dense, sparse, and structured matrices over the integers and over
finite fields.")
    (license license:lgpl2.1+)
    (home-page "https://linbox-team.github.io/linbox/")))

(define-public m4ri
  (package
    (name "m4ri")
    (version "20140914")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://bitbucket.org/malb/m4ri")
                    (commit (string-append "release-" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "0xfg6pffbn8r1s0y7bn9b8i55l00d41dkmhrpf7pwk53qa3achd3"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool pkg-config))
    (inputs
     (list libpng))
    (synopsis "Arithmetic of dense matrices over F_2")
    (description "M4RI is a library for fast arithmetic with dense matrices
over F2.  The name M4RI comes from the first implemented algorithm: The
Method of the Four Russians inversion algorithm published by Gregory Bard.
This algorithm in turn is named after the Method of the Four Russians
multiplication algorithm.")
    (license license:gpl2+)
    (home-page "https://bitbucket.org/malb/m4ri/")))

(define-public symmetrica
  (package
    (name "symmetrica")
    (version "2.0")
    (source (origin
              (method url-fetch/tarbomb)
              (uri (let ((v (string-join (string-split version #\.) "_")))
                     (string-append "http://www.algorithm.uni-bayreuth.de/"
                                    "en/research/SYMMETRICA/"
                                    "SYM" v "_tar.gz")))
              (sha256
               (base32
                "1qhfrbd5ybb0sinl9pad64rscr08qvlfzrzmi4p4hk61xn6phlmz"))
              ;; Taken from <https://git.sagemath.org/sage.git/plain/build/pkgs/symmetrica/patches/>
              (patches (search-patches "symmetrica-bruch.patch"
                                       "symmetrica-int32.patch"
                                       "symmetrica-return_values.patch"
                                       "symmetrica-sort_sum_rename.patch"))))
    (build-system gnu-build-system)
    (arguments
     `(#:tests? #f                      ;no test
       #:phases
       (modify-phases %standard-phases
         (add-after 'unpack 'fix-makefile
           (lambda _
             (substitute* "makefile"
               (("cc -c") "gcc -c -fPIC"))
             #t))
         (add-after 'fix-makefile 'turn-off-banner
           (lambda _
             (substitute* "de.c"
               (("(INT no_banner = )FALSE" _ pre) (string-append pre "TRUE")))
             #t))
         (delete 'configure)            ;no configure script
         (replace 'install              ;no install target
           (lambda* (#:key outputs #:allow-other-keys)
             (let* ((out (assoc-ref outputs "out"))
                    (lib (string-append out "/lib"))
                    (inc (string-append out "/include/symmetrica"))
                    (doc (string-append out "/share/doc/symmetrica-" ,version))
                    (static "libsymmetrica.a"))
               ;; Build static library.
               (apply invoke "ar" "crs" static (find-files "." "\\.o$"))
               (invoke "ranlib" static)
               ;; Install static library and headers.
               (for-each (lambda (f) (install-file f inc))
                         (find-files "." "\\.h$"))
               (install-file "libsymmetrica.a" lib)
               ;; Install documentation.
               (for-each (lambda (f) (install-file f doc))
                         (find-files "." "\\.doc$"))
               #t))))))
    (home-page "http://www.algorithm.uni-bayreuth.de/en/research/SYMMETRICA/")
    (synopsis "Combinatoric C Library")
    (description "Symmetrica is a library for combinatorics.  It has support
for the representation theory of the symmetric group and related groups,
combinatorics of tableaux, symmetric functions and polynomials, Schubert
polynomials, and the representation theory of Hecke algebras of type A_n.")
    (license license:public-domain)))

(define-public m4rie
  (package
    (name "m4rie")
    (version "20150908")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://bitbucket.org/malb/m4rie")
                    (commit (string-append "release-" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "0r8lv46qx5mkz5kp3ay2jnsp0mbhlqr5z2z220wdk73wdshcznss"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool))
    (inputs
     (list m4ri))
    (synopsis "Arithmetic of dense matrices over F_{2^e}")
    (description "M4RI is a library for fast arithmetic with dense matrices
over finite fields of characteristic 2.  So it extends the functionality
of M4RI from F_2 to F_{2^e}.")
    (license license:gpl2+)
    (home-page "https://bitbucket.org/malb/m4rie/")))

(define-public eclib
  (package
    (name "eclib")
    (version "20190909")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://github.com/JohnCremona/eclib/")
                    (commit (string-append "v" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "1gw27lqc3f525n8qdcmr2nyn16y9g10z9f6dnmckyyxcdzvhq35n"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool))
    (inputs
     (list ntl pari-gp))
    (synopsis "Ranks of elliptic curves and modular symbols")
    (description "The eclib package includes mwrank (for 2-descent on
elliptic curves over Q) and modular symbol code; it has been written by
John Cremona to compute his elliptic curve database.")
    (license license:gpl2+)
    (home-page (string-append "http://homepages.warwick.ac.uk/staff/"
                              "J.E.Cremona/mwrank/index.html"))))

(define-public lrcalc
  (package
    (name "lrcalc")
    (version "1.2")
    (source (origin
              (method git-fetch)
              (uri (git-reference
                    (url "https://bitbucket.org/asbuch/lrcalc")
                    (commit (string-append "lrcalc-" version))))
              (file-name (git-file-name name version))
              (sha256
               (base32
                "1c12d04jdyxkkav4ak8d1aqrv594gzihwhpxvc6p9js0ry1fahss"))
              (patches (search-patches "lrcalc-includes.patch"))))
    (build-system gnu-build-system)
    (native-inputs
     (list autoconf automake libtool))
    (arguments
     `(#:phases
       (modify-phases %standard-phases
         (add-before 'build 'fix-permission
           (lambda _
             (chmod "lrcalc.maple.src" #o644)
             #t)))))
    (synopsis "Littlewood-Richardson calculator in algebraic combinatorics")
    (description "The Littlewood-Richardson Calculator (lrcalc) is a
program designed to compute Littlewood-Richardson coefficients.  It computes
single Littlewood-Richardson coefficients, products of Schur functions, or
skew Schur functions.  In addition it computes products in the small quantum
cohomology ring of a Grassmann variety.  The software package also includes
a program that performs fast computation of the more general multiplicative
structure constants of Schubert polynomials.")
    (license license:gpl2+)
    (home-page "https://sites.math.rutgers.edu/~asbuch/lrcalc/")))

(define-public iml
  (package
    (name "iml")
    (version "1.0.5")
    (source
     (origin
       (method url-fetch)
       (uri (string-append "http://www.cs.uwaterloo.ca/~astorjoh/iml-"
                           version ".tar.bz2"))
       (sha256
        (base32
         "0akwhhz9b40bz6lrfxpamp7r7wkk48p455qbn04mfnl9a1l6db8x"))))
    (build-system gnu-build-system)
    (inputs
     `(("gmp" ,gmp)
       ("cblas" ,openblas))) ; or any other BLAS library; the documentation
                             ; mentions ATLAS in particular
    (arguments
     `(#:configure-flags
       (list
        "--enable-shared"
        (string-append "--with-gmp-include="
                       (assoc-ref %build-inputs "gmp") "/include")
        (string-append "--with-gmp-lib="
                       (assoc-ref %build-inputs "gmp") "/lib")
        "--with-cblas=-lopenblas"
        (string-append "--with-cblas-include="
                       (assoc-ref %build-inputs "cblas") "/include")
        (string-append "--with-cblas-lib="
                       (assoc-ref %build-inputs "cblas") "/lib"))))
    (home-page "https://cs.uwaterloo.ca/~astorjoh/iml.html")
    (synopsis
     "Solver for systems of linear equations over the integers")
    (description
     "IML is a C library implementing algorithms for computing exact
solutions to dense systems of linear equations over the integers.
Currently, IML provides the following functionality:

@itemize
@item Nonsingular rational system solving:
compute the unique rational solution X to the system AX=B, where A and B
are integer matrices, A nonsingular.
@item Compute the right nullspace or kernel of an integer matrix.
@item Certified linear system solving:
compute a minimal denominator solution x to a system Ax=b, where b is an
integer vector and A is an integer matrix with arbitrary shape and
rank profile.
@end itemize

In addition, IML provides some low level routines for a variety of mod p
matrix operations: computing the row-echelon form, determinant, rank
profile, and inverse of a mod p matrix. These mod p routines are not
general purpose; they require that p satisfy some preconditions based on
the dimension of the input matrix (usually p should be prime and should be
no more than about 20 bits long).")
    (license license:bsd-3)))

(define-public r-dtt
  (package
    (name "r-dtt")
    (version "0.1-2")
    (source
      (origin
        (method url-fetch)
        (uri (cran-uri "dtt" version))
        (sha256
          (base32
            "0n8gj5iylfagdbaqirpykb01a9difsy4zl6qq55f0ghvazxqdvmn"))))
    (properties `((upstream-name . "dtt")))
    (build-system r-build-system)
    (home-page "http://www.r-project.org")
    (synopsis "Discrete Trigonometric Transforms")
    (description
      "This package provides functions for 1D and 2D Discrete Cosine Transform
(@dfn{DCT}), Discrete Sine Transform (@dfn{DST}) and Discrete Hartley Transform
(@dfn{DHT}).")
    (license license:gpl2+)))

(define-public sollya
  (package
   (name "sollya")
   (version "7.0")
   (source (origin
            (method url-fetch)
            (uri (string-append "https://www.sollya.org/releases/"
                                "sollya-" version "/sollya-" version ".tar.bz2"))
            (sha256
             (base32
              "11290ivi9h665cxi8f1shlavhy10vzb8s28m57hrcgnxyxqmhx0m"))))
   (build-system gnu-build-system)
   (inputs
    (list fplll
          gmp
          gnuplot
          libxml2
          mpfi
          mpfr))
   (arguments
    `(#:configure-flags
      (list (string-append "--docdir=${datadir}/doc/sollya-" ,version))
      #:phases
      (modify-phases %standard-phases
        (add-after 'unpack 'patch-test-shebang
          (lambda _
            (substitute* (list "tests-tool/Makefile.in"
                               "tests-lib/Makefile.in")
             (("#!/bin/sh") (string-append "#!" (which "sh"))))
            #t))
        (add-before 'build 'patch-gnuplot-reference
          (lambda _
            (substitute* "general.c"
             (("\"gnuplot\"") (string-append "\"" (which "gnuplot") "\"")))
            #t)))))
   (home-page "https://www.sollya.org")
   (synopsis "Development environment for safe floating-point code")
   (description "Sollya is a computer program whose purpose is to
provide an environment for safe floating-point code development.  It
is particularly targeted to the automated implementation of
mathematical floating-point libraries (libm).  Amongst other features,
it offers a certified infinity norm, an automatic polynomial
implementer, and a fast Remez algorithm.")
   (license license:cecill-c)))