Code coverage tests

This page documents the degree to which the PARI/GP source code is tested by our public test suite, distributed with the source distribution in directory src/test/. This is measured by the gcov utility; we then process gcov output using the lcov frond-end.

We test a few variants depending on Configure flags on the pari.math.u-bordeaux.fr machine (x86_64 architecture), and agregate them in the final report:

• with GMP kernel
• with GMP kernel using --mt=pthread
• with native kernel, including micro-assembler code
• with native kernel, without micro-assembler
• with native kernel, without micro-assembler, disabling GCC extensions (DISABLE_INLINE)
• with GMP kernel, emulating an x86_32 architecture at Configure time via setarch

The target is to exceed 90% coverage for all mathematical modules (given that branches depending on DEBUGLEVEL or DEBUGMEM are not covered). This script is run to produce the results below.

LCOV - code coverage report

Current view: top level - modules - algebras.c (source / functions) Hit Total Coverage Test: PARI/GP v2.18.0 lcov report (development 29806-4d001396c7) Lines: 3881 3907 99.3 % Date: 2024-12-21 09:08:57 Functions: 338 339 99.7 % Legend: Lines: hit not hit

Function Name	Hit count
alg_complete	0
randcol	7
QM_invimZ	14
mk_C	14
alg_hilbert_asquare	21
algmatid	21
mk_R	21
algmodpr_mat	28
C_charpoly	35
C_trace	35
R_charpoly	35
R_trace	35
alg_quatramif	35
mk_H	35
C_norm	42
R_norm	42
R_tomatrix	42
algmakeintegral	42
CM_to_HM	49
change_Rgmultable	56
algaut	63
algnewprec	63
algnewprec_shallow	63
localcomplete	63
nextgen	63
HM_to_CM	70
algrelmultable	70
C_tomatrix	84
H_poleval	84
alg_get_splittingdata	84
alginvbasis	84
algsplittingdata	84
algsubalg	84
algtensor	84
extraprime	84
algb	91
algisquatalg	91
CC_to_HC	98
H_charpoly	98
H_neg	98
C_divl_i	112
algchar	112
dividesmod	112
genefrob	112
subcycloindep	112
alg_matrix	119
algbasistoalg_mat	119
alM_sub	126
algbasistoquat	126
algisdivl	126
alg_get_aut	133
C_inv	140
HC_to_CC	140
normfact_is_partial	140
algbasis	154
algsplittingfield	161
localextdegell	161
algramifiedplaces	168
C_random	182
alg_maximal	182
algalgtobasis_mat	182
algisinv	189
bnfgwgeneric	189
H_divl_i	203
alC_sub_i	210
computesplitting	217
findmaximalsubfield	217
frobeniusform	217
alg_csa_table	245
algneg	245
check_relmt	245
nfgwkummer	245
alghassei	252
H_inv	259
algreal_dim	259
algquattobasis	266
algisdivision	287
alg_get_splitpol	294
algbasis2mat	294
groupelts_algebra	294
list_to_regular_rep	294
algissimple	301
algmodprlift	301
algmultable	308
H_sqr	329
alggroup	329
alggroupcenter	329
alghasse	336
alg_complete0	343
clean_factor	343
computecnd	343
rnfcycaut	343
alghassef	357
algdisc	364
uispow2	364
algiscommutative	392
algissemisimple	392
alM_add	406
bnrgwsearch	413
get_phi0	413
alghasse_emb	427
H_norm	434
hassecoprime	441
alg_hasse	455
cyclicrelfrob0	455
is_place_emb	462
algdivr	469
algtrace_mat	469
Rgmultable	476
algmodprlift_i	511
algdisc_i	525
algisassociative	532
nfgrunwaldwang	532
alg_hilbert	539
algredcharpoly_i	546
eichlerprimepower	546
algredcharpoly	553
ismaximalsubfield	553
H_trace	567
algdegree	679
algalgmul_csa	686
colconcat	686
hassereduce	714
algmat_tomatrix	728
alC_add_i	756
algcomputehasse	784
alg_cyclic	798
conjclasses_algcenter	847
algdivl	889
localhasse	903
testsplits	905
algleftmultable_mat	910
get_vecsmall	973
H_random	980
algdivl_i2	1015
algsub	1120
allauts	1127
alg_is_asq	1148
factoredextchinese	1148
alg_maximal_primes	1162
algpdecompose_i	1203
hasseconvert	1274
algnorm	1309
alginv	1323
algnatmultable	1344
algmtK2Z_csa	1379
algisramified	1386
algredtrace	1470
nfmakecoprime	1470
backtrackfacto	1491
factoredextchinesetest	1491
alginv_i	1512
localextdeg	1575
alghasse_pr	1652
alginit	1652
algissplit	1652
algalgmul_cyc	1659
RgC_col2mat	1708
algmodpr_get_proj	1708
algmodpr_integral	1708
algmodpr_get_ff	1715
algdivl_i	1729
algmodpr_get_tau	1729
algmodpr_i	1729
alg_get_hasse_i	1743
alglatrighttransporter	1771
alglatlefttransporter	1778
algnattoalg_csa	1813
algmodpr	1841
algalgmultable_csa	1848
elementmultable	1848
checkhasse	1869
algeichlerbasis	2100
checkalgmodpr	2135
checkalgmodpr_i	2135
alghasse_0	2149
algindex	2191
algmodpr_get_m	2219
indexfromhasse	2219
algtype	2233
algalgmul	2345
H_tomatrix	2394
mat_algeltfromnf	2492
eichleridempotent	2499
eichlerprimepower_i	2499
alg_change_overorder_shallow	2669
algtrace	2681
alg_pmaximal	2694
algcenter_precompute	2694
algsimpledec	2730
algmodprinit	2793
cyclicrelfrob	2926
algmodpr_get_lift	3003
alg_get_basis	3276
algbasistoalg	3388
QM_invimZ_mod	3535
alglattransporter_i	3535
algsplit	3766
algmodpr_get_T	3801
matrix_perm	3857
alg_get_hasse_f	3871
algpdecompose0	3897
algmodpr_get_p	3948
algmodpr_get_pr	3948
alglatinter	4109
RgM_contract	4165
descend	4165
descend_i	4165
alg_get_splittingbasis	4347
alg_get_splittingbasisinv	4347
algbasissplittingmatrix_csa	4347
R_random	4466
try_descend	4585
algmodpr_get_k	5005
alg_idempotent	5047
algeltfromnf	5061
alglatindex	5271
algcenter_p_projs	5342
algcenter_prad	5342
algeltfromnf_hnf	5342
algpradical_i	5342
algdim	6160
algtableinit	6202
alg_finite_csa_split	6510
algleftordermodp	6602
Flm_invimage_init	7072
alglatadd	7588
algprimesubalg	8138
algsimpledec_ss	8243
alglatelement	8778
alg_decompose_from_facto	9407
alg_quotient	10901
alg_centralproj	11069
prepare_lat	11683
prepare_multipliers	11683
alglataddinter	11697
algcenter	11795
algmtK2Z_cyc	11970
alg_ordermodp	11997
algradical	12824
try_split	13057
algtracematrix	13258
algZmultable	13349
algmtK2Z	13349
alg_subalg	13964
cmp_algebra	14075
algnattoalg_cyc	14658
random_pm1	14664
algalgmultable_cyc	14735
Z_easyfactor	15074
algalgtonat_csa	15400
algalgmultable	16268
algnattoalg	16471
alg_get_auts	17283
alg_get_b	17367
alglatcontains	17528
try_fact	17534
H_add	17745
out_decompose	18737
RgC_contract	18746
algrandom	19985
algpow	20426
algleftmultable	22078
alg_decompose_total	22481
algmatbasis_ei	23884
algmat2basis	23961
algtomatrix	25109
alM_mul	25627
alg_decompose	26821
mat2col	28322
algpoleval	28797
algtablecenter	30613
algbasischarpoly	31473
algeltfromnf_i	31690
algcharpoly	31739
alglatsubset	33495
alg_quotient0	33713
image_keep_first	35628
algbasisrightmultable	41146
algbasismultable_Flm	41430
algtracei	41430
alglatmul	45612
_mul	49113
RgM_mat2col	49343
alglathnf	53487
alM_alC_mul_i	54502
algadd	54999
algtableinit_i	54999
check_mt	55041
check_mt_noid	55566
ZM_trace	58493
algtracebasis	58998
primlat	64351
algalgtonat_cyc	66550
mattocol	72342
algalgtonat	81950
alg_get_invbasis	82034
algalgtobasis	83749
alg_get_abssplitting	93962
H_mul	108129
_tablemul_ej	111811
alMrow_alC_mul_i	119651
_sqr	119977
algsqr	122364
elementabsmultable	149376
checklat	186858
checklat_i	186858
elementabsmultable_Fp	186934
FpM_trace	200506
H_compo	205639
_tablemul_ej_Fp	242039
alglat_get_primbasis	251188
_tablemul_Fp	291196
alglat_get_scalar	296779
algbasismultable	336310
elementabsmultable_Z	336310
alg_get_relmultable	386099
alg_get_dim	402134
H_model	462812
H_model0	462812
alg_get_center	519163
Flm_invimage_pre	520237
_tablemul_ej_Fl	520237
_tablemul	521612
alg_get_tracebasis	587271
algabstrace	587425
algbasismul	812122
algmul	817753
checkalg_i	1382656
checkalg	1509986
checkalgx	1872616
alg_model	1872777
alg_model0	1872777
alg_get_degree	2456907
alg_get_absdim	2518797
alg_get_multable	3645462
alg_type	9805305
alg_get_char	11357023
alg_get_splittingfield	25293201

Generated by: LCOV version 1.16