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 v2.18.1 lcov report (development 30005-fc14bb602a) Lines: 3972 3998 99.3 % Date: 2025-02-18 09:22:46 Functions: 346 347 99.7 % Legend: Lines: hit not hit

Function Name	Hit count
CC_to_HC	98
CM_to_HM	49
C_charpoly	35
C_divl_i	112
C_inv	140
C_norm	42
C_random	182
C_tomatrix	84
C_trace	35
Flm_invimage_init	8918
Flm_invimage_pre	613219
FpM_trace	220751
HC_to_CC	140
HM_to_CM	70
H_add	17745
H_charpoly	98
H_compo	205639
H_divl_i	203
H_inv	259
H_invol	98
H_model	462910
H_model0	462910
H_mul	108129
H_neg	98
H_norm	434
H_poleval	84
H_random	980
H_sqr	329
H_tomatrix	2457
H_trace	567
QM_invimZ	14
QM_invimZ_mod	3535
R_charpoly	35
R_norm	42
R_random	4466
R_tomatrix	42
R_trace	35
RgC_col2mat	1708
RgC_contract	18746
RgM_contract	4165
RgM_mat2col	49343
Rgmultable	476
ZM_trace	69918
Z_easyfactor	15431
_mul	52130
_sqr	124913
_tablemul	521822
_tablemul_Fp	299943
_tablemul_ej	111811
_tablemul_ej_Fl	613219
_tablemul_ej_Fp	242039
alC_add_i	756
alC_sub_i	210
alM_add	406
alM_alC_mul_i	54502
alM_mul	25627
alM_sub	126
alMrow_alC_mul_i	119651
algZmultable	16086
alg_centralproj	12634
alg_change_overorder_shallow	3568
alg_complete	0
alg_complete0	413
alg_csa_table	294
alg_cyclic	987
alg_decompose	28363
alg_decompose_from_facto	9949
alg_decompose_total	24023
alg_finite_csa_split	6510
alg_get_absdim	2564605
alg_get_abssplitting	103166
alg_get_aut	1169
alg_get_auts	20937
alg_get_b	19992
alg_get_basis	3297
alg_get_center	542845
alg_get_char	11656455
alg_get_degree	2496273
alg_get_dim	410666
alg_get_hasse_f	4550
alg_get_hasse_i	2198
alg_get_invbasis	86940
alg_get_invol	3813
alg_get_multable	3763303
alg_get_relmultable	393953
alg_get_splitpol	315
alg_get_splittingbasis	4347
alg_get_splittingbasisinv	4347
alg_get_splittingdata	84
alg_get_splittingfield	25841217
alg_get_tracebasis	650042
alg_hasse	525
alg_hilbert	658
alg_hilbert_asquare	28
alg_idempotent	5047
alg_insert_quatconj	1036
alg_is_asq	1183
alg_matrix	147
alg_maximal	224
alg_maximal_primes	1442
alg_model	1897290
alg_model0	1897290
alg_ordermodp	14508
alg_pmaximal	3292
alg_quatramif	77
alg_quotient	12291
alg_quotient0	38269
alg_subalg	14506
alg_type	10014020
algabstrace	650196
algadd	54999
algalgmul	2345
algalgmul_csa	686
algalgmul_cyc	1659
algalgmultable	19005
algalgmultable_csa	2170
algalgmultable_cyc	17164
algalgtobasis	88858
algalgtobasis_mat	182
algalgtonat	86856
algalgtonat_csa	16156
algalgtonat_cyc	70700
algaut	63
algb	91
algbasis	154
algbasis2mat	294
algbasischarpoly	32315
algbasismul	821079
algbasismultable	369693
algbasismultable_Flm	51210
algbasisrightmultable	41265
algbasissplittingmatrix_csa	4347
algbasistoalg	3409
algbasistoalg_mat	119
algbasistoquat	126
algcenter	11795
algcenter_p_projs	6832
algcenter_prad	6832
algcenter_precompute	3292
algchar	112
algcharpoly	32511
algcomputehasse	973
algdegree	679
algdim	6216
algdisc	364
algdisc_i	567
algdivl	889
algdivl_i	3199
algdivl_i2	1015
algdivr	469
algeichlerbasis	2100
algeltfromnf	5138
algeltfromnf_hnf	6832
algeltfromnf_i	36547
alggroup	329
alggroupcenter	329
alghasse	343
alghasse_0	2380
alghasse_emb	497
alghasse_pr	1799
alghassef	364
alghassei	266
algindex	2191
alginit	1995
alginv	1330
alginv_i	2989
alginvbasis	84
alginvol	308
algisassociative	532
algiscommutative	392
algisdivision	287
algisdivl	126
algisinv	1659
algisisom	245
algisquatalg	98
algisramified	1386
algissemisimple	392
algissimilar_i	154
algissimple	301
algissplit	1652
alglat_get_primbasis	251188
alglat_get_scalar	296779
alglatadd	7588
alglataddinter	11697
alglatcontains	17528
alglatelement	8778
alglathnf	53487
alglatindex	5271
alglatinter	4109
alglatlefttransporter	1778
alglatmul	45612
alglatrighttransporter	1771
alglatsubset	33495
alglattransporter_i	3535
algleftmultable	23660
algleftmultable_mat	910
algleftordermodp	8714
algmakeintegral	42
algmat2basis	23961
algmat_tomatrix	728
algmatbasis_ei	23884
algmatid	21
algmodpr	1841
algmodpr_get_T	3801
algmodpr_get_ff	1715
algmodpr_get_k	5005
algmodpr_get_lift	3003
algmodpr_get_m	2219
algmodpr_get_p	3948
algmodpr_get_pr	3948
algmodpr_get_proj	1708
algmodpr_get_tau	1729
algmodpr_i	1729
algmodpr_integral	1708
algmodpr_mat	28
algmodprinit	2793
algmodprlift	301
algmodprlift_i	511
algmtK2Z	16086
algmtK2Z_csa	1687
algmtK2Z_cyc	14399
algmul	821767
algmultable	308
algnatmultable	1652
algnattoalg	19229
algnattoalg_csa	2135
algnattoalg_cyc	17094
algneg	245
algnewprec	84
algnewprec_shallow	84
algnorm	1309
algpdecompose0	4918
algpdecompose_i	1626
algpoleval	29409
algpow	22492
algpradical_i	6832
algprimesubalg	9664
algquattobasis	280
algradical	14868
algramifiedplaces	364
algrandom	20104
algreal_dim	259
algredcharpoly	553
algredcharpoly_i	546
algredtrace	1512
algrelmultable	70
algrightmultable	77
algsimpledec	2730
algsimpledec_ss	9769
algskolemnoether	112
algsplit	3766
algsplittingdata	84
algsplittingfield	161
algsqr	127307
algsub	1127
algsubalg	84
algtablecenter	33139
algtableinit	6223
algtableinit_i	60118
algtensor	84
algtomatrix	25109
algtrace	2702
algtrace_mat	469
algtracebasis	65324
algtracei	51210
algtracematrix	15344
algtype	2254
allauts	1386
backtrackfacto	1827
bnfgwgeneric	210
bnrgwsearch	441
change_Rgmultable	56
check_mt	60160
check_mt_noid	60685
check_relmt	294
checkalg	1540061
checkalg_i	1412717
checkalgmodpr	2135
checkalgmodpr_i	2135
checkalgx	1897101
checkhasse	2254
checklat	186858
checklat_i	186858
clean_factor	413
cmp_algebra	14617
colconcat	826
computecnd	413
computesplitting	266
conjclasses_algcenter	847
cyclicrelfrob	3353
cyclicrelfrob0	546
descend	4165
descend_i	4165
dividesmod	140
eichleridempotent	2499
eichlerprimepower	546
eichlerprimepower_i	2499
elementabsmultable	159202
elementabsmultable_Fp	210491
elementabsmultable_Z	369693
elementmultable	2170
extraprime	84
factoredextchinese	1421
factoredextchinesetest	1834
findmaximalsubfield	266
frobeniusform	266
genefrob	140
get_phi0	441
get_vecsmall	1113
groupelts_algebra	294
hasseconvert	1484
hassecoprime	511
hassereduce	854
image_keep_first	39336
indexfromhasse	2219
is_place_emb	546
ismaximalsubfield	623
list_to_regular_rep	294
localcomplete	77
localextdeg	1624
localextdegell	175
localhasse	1127
mat2col	28322
mat_algeltfromnf	2492
matrix_perm	3857
mattocol	93911
mk_C	21
mk_H	56
mk_R	28
nextgen	77
nfgrunwaldwang	602
nfgwkummer	294
nfmakecoprime	1799
normfact_is_partial	168
out_decompose	19821
prepare_lat	11683
prepare_multipliers	11683
primlat	64351
randcol	7
random_pm1	15206
rnfcycaut	413
subcycloindep	140
testsplits	994
try_descend	4585
try_fact	18257
try_split	13106
uispow2	385

Generated by: LCOV version 1.16