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 29950-285c5b69ed) Lines: 3917 3943 99.3 % Date: 2025-02-05 09:09:51 Functions: 342 343 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	7492
Flm_invimage_pre	545409
FpM_trace	207506
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	77
H_model	462861
H_model0	462861
H_mul	108129
H_neg	98
H_norm	434
H_poleval	84
H_random	980
H_sqr	329
H_tomatrix	2415
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	62210
Z_easyfactor	15200
_mul	50072
_sqr	121678
_tablemul	521724
_tablemul_Fp	294206
_tablemul_ej	111811
_tablemul_ej_Fl	545409
_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	14147
alg_centralproj	11601
alg_change_overorder_shallow	2914
alg_complete	0
alg_complete0	364
alg_csa_table	259
alg_cyclic	840
alg_decompose	27381
alg_decompose_from_facto	9610
alg_decompose_total	23041
alg_finite_csa_split	6510
alg_get_absdim	2532309
alg_get_abssplitting	96622
alg_get_aut	1029
alg_get_auts	18907
alg_get_b	18095
alg_get_basis	3276
alg_get_center	526093
alg_get_char	11444400
alg_get_degree	2467008
alg_get_dim	404332
alg_get_hasse_f	3948
alg_get_hasse_i	1785
alg_get_invbasis	83434
alg_get_invol	3152
alg_get_multable	3682384
alg_get_relmultable	388052
alg_get_splitpol	294
alg_get_splittingbasis	4347
alg_get_splittingbasisinv	4347
alg_get_splittingdata	84
alg_get_splittingfield	25449578
alg_get_tracebasis	607648
alg_hasse	476
alg_hilbert	567
alg_hilbert_asquare	28
alg_idempotent	5047
alg_insert_quatconj	896
alg_is_asq	1148
alg_matrix	126
alg_maximal	189
alg_maximal_primes	1225
alg_model	1879919
alg_model0	1879919
alg_ordermodp	12662
alg_pmaximal	2841
alg_quatramif	42
alg_quotient	11251
alg_quotient0	35127
alg_subalg	14167
alg_type	9865216
algabstrace	607802
algadd	54999
algalgmul	2345
algalgmul_csa	686
algalgmul_cyc	1659
algalgmultable	17066
algalgmultable_csa	1960
algalgmultable_cyc	15421
algalgtobasis	85275
algalgtobasis_mat	182
algalgtonat	83350
algalgtonat_csa	15554
algalgtonat_cyc	67796
algaut	63
algb	91
algbasis	154
algbasis2mat	294
algbasischarpoly	31782
algbasismul	815244
algbasismultable	347266
algbasismultable_Flm	43866
algbasisrightmultable	41160
algbasissplittingmatrix_csa	4347
algbasistoalg	3388
algbasistoalg_mat	119
algbasistoquat	126
algcenter	11795
algcenter_p_projs	5727
algcenter_prad	5727
algcenter_precompute	2841
algchar	112
algcharpoly	32013
algcomputehasse	826
algdegree	679
algdim	6216
algdisc	364
algdisc_i	532
algdivl	889
algdivl_i	1729
algdivl_i2	1015
algdivr	469
algeichlerbasis	2100
algeltfromnf	5117
algeltfromnf_hnf	5727
algeltfromnf_i	33069
alggroup	329
alggroupcenter	329
alghasse	336
alghasse_0	2149
alghasse_emb	427
alghasse_pr	1652
alghassef	357
alghassei	252
algindex	2191
alginit	1750
alginv	1323
alginv_i	1512
alginvbasis	84
alginvol	294
algisassociative	532
algiscommutative	392
algisdivision	287
algisdivl	126
algisinv	189
algisquatalg	91
algisramified	1386
algissemisimple	392
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	22099
algleftmultable_mat	910
algleftordermodp	7162
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	14147
algmtK2Z_csa	1491
algmtK2Z_cyc	12656
algmul	819174
algmultable	308
algnatmultable	1421
algnattoalg	17269
algnattoalg_csa	1925
algnattoalg_cyc	15344
algneg	245
algnewprec	84
algnewprec_shallow	84
algnorm	1309
algpdecompose0	4177
algpdecompose_i	1336
algpoleval	29014
algpow	21091
algpradical_i	5727
algprimesubalg	8579
algquattobasis	266
algradical	13377
algramifiedplaces	168
algrandom	20104
algreal_dim	259
algredcharpoly	553
algredcharpoly_i	546
algredtrace	1470
algrelmultable	70
algsimpledec	2730
algsimpledec_ss	8684
algsplit	3766
algsplittingdata	84
algsplittingfield	161
algsqr	124065
algsub	1120
algsubalg	84
algtablecenter	31411
algtableinit	6209
algtableinit_i	56623
algtensor	84
algtomatrix	25109
algtrace	2681
algtrace_mat	469
algtracebasis	60944
algtracei	43866
algtracematrix	13818
algtype	2254
allauts	1190
backtrackfacto	1596
bnfgwgeneric	196
bnrgwsearch	427
change_Rgmultable	56
check_mt	56665
check_mt_noid	57190
check_relmt	259
checkalg	1518653
checkalg_i	1391316
checkalgmodpr	2135
checkalgmodpr_i	2135
checkalgx	1879751
checkhasse	1974
checklat	186858
checklat_i	186858
clean_factor	364
cmp_algebra	14278
colconcat	728
computecnd	364
computesplitting	231
conjclasses_algcenter	847
cyclicrelfrob	3059
cyclicrelfrob0	483
descend	4165
descend_i	4165
dividesmod	126
eichleridempotent	2499
eichlerprimepower	546
eichlerprimepower_i	2499
elementabsmultable	152246
elementabsmultable_Fp	195020
elementabsmultable_Z	347266
elementmultable	1960
extraprime	84
factoredextchinese	1232
factoredextchinesetest	1596
findmaximalsubfield	231
frobeniusform	231
genefrob	119
get_phi0	427
get_vecsmall	1015
groupelts_algebra	294
hasseconvert	1337
hassecoprime	462
hassereduce	756
image_keep_first	36895
indexfromhasse	2219
is_place_emb	462
ismaximalsubfield	588
list_to_regular_rep	294
localcomplete	70
localextdeg	1589
localextdegell	168
localhasse	973
mat2col	28322
mat_algeltfromnf	2492
matrix_perm	3857
mattocol	79006
mk_C	21
mk_H	42
mk_R	28
nextgen	70
nfgrunwaldwang	553
nfgwkummer	259
nfmakecoprime	1554
normfact_is_partial	154
out_decompose	19143
prepare_lat	11683
prepare_multipliers	11683
primlat	64351
randcol	7
random_pm1	14867
rnfcycaut	364
subcycloindep	119
testsplits	947
try_descend	4585
try_fact	17808
try_split	13057
uispow2	371

Generated by: LCOV version 1.16