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 - basemath - mftrace.c (source / functions) Hit Total Coverage Test: PARI/GP v2.18.1 lcov report (development 30672-116f3d5b0e) Lines: 7532 7736 97.4 % Date: 2026-02-06 09:23:51 Functions: 772 778 99.2 % Legend: Lines: hit not hit

Function Name	Hit count
A1	366373
A21	44135
A22	44135
A3	44583
A4	43666
AX_B	203
CHIvec_CHI	25914
CHIvec_N	28601909
CHIvec_expo	626913
CHIvec_ord	66311
CHIvec_parity	54754
CHIvec_val	27670174
CX_D	203
GL2toSL2	1428
Galois	30331
Haberland	140
Hfind	7
MF_get_CHI	8848
MF_get_E	4487
MF_get_M	6916
MF_get_Mindex	10640
MF_get_Minv	4872
MF_get_N	20069
MF_get_S	21553
MF_get_basis	1911
MF_get_dim	5642
MF_get_fields	616
MF_get_gN	21273
MF_get_gk	15526
MF_get_k	7238
MF_get_newforms	819
MF_get_r	280
MF_get_space	15393
MF_set_new	1589
MF_set_space	413
MFcusp_get_vMjd	686
MFnew_get_vj	7343
Mindex_as_coef	49
Minv_RgC_mul	7938
Minv_RgM_mul	1309
Miyake	84028
NK_eisen2	140
QabC_to_Flc	38164
QabM_Minv	609
QabM_indexrank	10563
QabM_init	1246
QabM_ker	1652
QabM_pseudoinv	1092
QabM_pseudoinv_i	1358
QabM_rank	35
QabM_to_Flm	595
QabM_tracerel	154
QabV_tracerel	16198
QabX_to_Flx	1484
Qab_Czeta	2247966
Qab_Czeta_Fl	313040
Qab_to_Fl	8534960
Qab_trace_init	34062
Qab_tracerel	0
Qab_zeta	200767
RgC_Bd_expand	84665
RgC_embedall	350
RgM_Minv_mul	2450
RgV_approx	126
RgV_div_RgXn	399
RgV_heckef2	98
RgV_inflatemod	7
RgV_mul_RgXn	8869
RgV_normalize	2065
RgV_pows_RgXn	112
RgV_shift	11039
RgV_shimura	112
RgV_to_ser_full	4893
RgXV_embed	98
RgX_act_S	1288
RgX_act_gen	154
RgX_act_typ	2842
RgX_approx	2863
RgX_by_parity	14
RgX_embed	1687
RgX_embed1	14203
RgX_embed2	532
RgX_embedall	364
RgX_isspherical	28
RgX_valrem_root	70
RgXn_negpow	375
Rg_approx	8582
Rg_embed1	84658
Rg_embed2	13328
Rg_embedall	95154
Rg_embedall_i	4907
SL2_div_D	9177
TA1	6564045
TA2	6564045
TA2_t	324085950
TA3	6564045
TA4	6564045
Tp	469
Tpmod	2408
Unelson	71932
VS	63742
Wcoshall	10304
WfromZ	74046
Wint	10304
Wint2	63742
Wparams	10304
ZM_mulS	1337
ZM_mulT	4634
ZM_mulTi	2352
ZX_roots	182
ZabM_pseudoinv_i	1106
_RgXQM_mul	378
abundant	2604
act_GL2	266
act_S	2576
actal	42
anextract	2646
anyembed	28
append_dihedral	18718
atkin_get_NQ	245
auxsum	34044534
badchar	7931
bdexpand	14168
bdexpandall	343
bern_init	2023
bestapprnf2	126
bestapprnfrel	1519
bhn_newtrace	34993
bhn_parse	84665
bhnmat_extend	9282
bhnmat_extend_nocache	7091
bnrchartwist2conrey	34489
c_Bd	7525
c_Ek	882
c_F2TH4	266
c_QF_i	56
c_QFsimple_i	49
c_bracket	42
c_const	147
c_cusptrace	21
c_deflate	8939
c_delta	539
c_deriv	175
c_derivE2	14
c_dihedral	5579
c_div	847
c_div_i	847
c_ell	77
c_etaquo	203
c_hecke	1246
c_linear	3024
c_linear_bhn	2331
c_mfEH	343
c_mfeisen	11361
c_mul	637
c_newtrace	1918
c_pow	112
c_shift	35
c_theta	1946
c_twist	168
cache_delete	9450
cache_get	456723149
cache_report	70
cache_reset	511
cache_set	525
ceilA1	7756
char2	11305
charLFwt1	2618
charLFwt1_Fl	2002
charLFwtk	4557
charLFwtk_Fl	3227
char_normalize_zv	118517
charistotallyeven	13846
charsmodN	651
checkCHI	9247
checkMF	4228
checkMF_i	19292
checkNK	133
checkNK2	9254
checkPv	28
check_M2Z	3486
check_SL2Z	2058
checkbij_i	7
checkemb_i	28
checkfs2_i	210
checkfs_i	798
checkmf2	43736
checkmf_i	19565
checkmfa	63
chicompat	2835
chicompatfix	651
chicompatlift	651
cmp_coset	35469
cmp_ord	371
cmp_small_priority	74431
col2cusp	126
colnewtrace	185598
condC	1568
conreydenormalize	34489
const_mat	910
constcoredisc	48
constdiv	152
constfact	187
consttabdihedral	14
consttabh	152
corediscs_fact	4761947
coset_complete	11963
cusp2mat	518
cusp_AC	1134
cusp_canon	364
cxredga0N	182
cyc_normalize_zv	26810
dbg_cachenew	17780
deg1ser_shallow	49
desc	623
desc_dihedral	21
desc_hecke	35
desc_i	1540
desc_linear	98
desc_mfeisen	504
di_N	42042
dihan	13573
dihan_bnf	9331
dihan_bnr	37758
dim22	3696
dim_filter	42
dim_sum	287
discard_Ti	0
div_restrict	336280
divisorsNF	322
eiscnm	9635178
err_cyclo	14
err_space	7
eta3_ZXn	525
evalcusp	364
expandbd	5852
expandbd_Fl	7714
f00	12446
f00_i	13727
fg1g2n	855267
findbestsplit	1358
findd	217
findq	14
findqga	91
findqganew	49
fix_pol	234178
fmt_dim	3983
foo_stable	42
fs2_get_F	56
fs2_get_MF	56
fs2_get_W	56
fs2_get_al0	56
fs2_get_bitprec	0
fs2_get_cusps	56
fs2_get_den	21
fs2_init	21
fs_get_EF	70
fs_get_MF	1463
fs_get_bitprec	630
fs_get_cosets	2191
fs_get_expan	1890
fs_get_pols	1596
fs_get_vE	1246
fs_get_vES	847
fs_set_expan	28
gausssumcx	33985
get_DIH	12355
get_P	259
get_PSI	299775
get_Shimura	21
get_badj	7756
get_bnrconreyN	15862
get_gb	7805
get_mf_F	546
get_mfchar	4074
get_vDIH	2373
get_vP	21
getcache	14
getcols	2037
getcols_i	5054
getcolsgen	441
getcolswt2	252
getembed	938
getnlim2	2555
getw1w2	2555
gmfcharmodulus	1619786
gmfcharno	3983
gmfcharorder	3876236
grootsof1_CHI	791
gsubstvec_i	14
hash_eisengacx	19236
hclassno6_count	54
hclassno6u	2503778
hclassno6u_2	77
hclassno6u_fund	10748416
hclassno6u_i	158346131
hclassno6u_no_cache	86919
hecke_data	18466
hecke_i	2723
heckef2_data	84
heckenewtrace	91581
improve	5740
induce	312179
induceN	42476
inflatemod	49
init_cachenew	13650
initnewtrace	33649
initnewtrace_i	33544
inittrace	129171
inittrconj	33544
initwt1newtrace	21
initwt1trace	28
intAoo	945
intAoo0	77
intAoowithvanall	147
inveis_extraprec	70
is_cond	49364
lamCO	3360
lamsig	14641320
lfunfindchi	21
lfunmf	98
lfunquadneg_naive	28
lfuntag	1197
lfunthetaall	161
m1pk	8295
mat2cusp	112
matTp	56
matTpmod	301
matdeflate	392
merge_dims	7
mf1	42
mf1_cusptonew	252
mf1_pre	1834
mf1basis	11284
mf1chars	1729
mf1cuspdim	476
mf1cuspdim_i	7315
mf1cuspdimall	4144
mf1cuspdimsum	4123
mf1dimmod	595
mf1dims	105
mf1dimsum	2114
mf1init	3969
mf1intermat	224
mf1newdimall	56
mf1newdimsum	1050
mf1olddimall	28
mf1olddimsum	469
mf2basis	273
mf2dim_Nkchi	43463
mf2dimwt12	41363
mf2dimwt32	693
mf2gaexpansion	343
mf2init	98
mf2init_Nkchi	273
mfDelta	56
mfEH	266
mfEHcoef	77
mfEHmat	266
mfEMPTY	1029
mfEMPTYall	616
mfEk	406
mfTheta	805
mfZC_width	9975
mf_eisendec	1218
mf_get_CHI	65527
mf_get_N	124019
mf_get_NK	19691
mf_get_field	25081
mf_get_gN	191968
mf_get_gk	144627
mf_get_k	73731
mf_get_r	441
mf_get_type	241108
mf_normalize	1540
mf_same_CHI	1148
mf_same_k	1190
mf_setfield	588
mfak_i	455
mfalchi2	13041
mfatkin	63
mfatkineigenquad	56
mfatkineigenvalues	49
mfatkininit	98
mfatkininit_i	224
mfatkinmatnewquad	112
mfbasis	371
mfbd	266
mfbd_E2	721
mfbd_i	36981
mfbdall	7385
mfbracket	28
mfcanfindp0	14
mfcharAL	112
mfcharGL	378812
mfcharchiliftprim	42
mfcharconductor	397950
mfcharconj	56
mfcharcxeval	9513
mfcharcxinit	33985
mfchardiv	10178
mfchardiv_i	10178
mfchareval	14553
mfcharevalord	3675462
mfchargalois	4872
mfcharinduce	13048
mfcharinit	33551
mfcharinv_i	595
mfcharistrivial	2709
mfcharmodulus	1619786
mfcharmul	1127
mfcharmul_i	301994
mfcharmulcxeval	13041
mfcharmuleval	26082
mfcharno	13699
mfcharorder	3817786
mfcharparity	68670
mfcharpol	599354
mfcharpow	161
mfchars	3255
mfchartoprimitive	82334
mfchartrivial	5859
mfcheapeisen	154
mfchiadjust	2933
mfchiembed	7
mfchilift	1092
mfchisimpl	1596
mfclean	5047
mfclean2	861
mfcleanCHI	4095
mfcoef	301
mfcoefs	4144
mfcoefs_i	38563
mfcoefs_mf	2632
mfcoefsser	679
mfconductor	175
mfconreyminimize	12138
mfcosets	168
mfcuspcanon_width	1001
mfcuspdim	3458
mfcuspdim_i	43743
mfcuspisregular	315
mfcusps	28
mfcusps_i	49
mfcusptrace_i	6564045
mfcusptracecache	7850904
mfcuspval	203
mfcuspwidth	161
mfderiv	182
mfderivE2	21
mfdescribe	966
mfdihedral	14
mfdihedralall	14
mfdihedralcommon	33698
mfdihedralcusp	3857
mfdihedralcuspdim	7105
mfdihedralnew	8820
mfdihedralnew_i	24969
mfdihedralnewdim	16149
mfdiheval	107611
mfdim	5719
mfdim0all	3010
mfdim_Nkchi	1400
mfdim_Nndkchi	44744
mfdiv	49
mfdiv_val	2275
mfeigenbasis	364
mfeigenembed	161
mfeigensearch	35
mfeisenstein	378
mfeisenstein2_0	8365
mfeisenstein2_0_Fl	5054
mfeisenstein2all	2646
mfeisenstein2pure	5586
mfeisenstein2pure_Fl	5054
mfeisenstein_i	378
mfeisenstein_prim	343
mfeisensteinbasis	1456
mfeisensteinbasis_i	1428
mfeisensteindec	1218
mfeisensteindim	231
mfeisensteingacx	13041
mfeisensteinspaceinit	609
mfeisensteinspaceinit_i	651
mfembed	100845
mfembed0	49
mfeval	168
mfeval_i	168
mffields	35
mffindeisen1	35
mffindrootof1	6741
mffrickeeigen	84
mffrickeeigen_i	119
mffromell	28
mffrometaquo	210
mffromlfun	21
mffromqf	77
mffulldim	868
mffvanish	14
mfgaexpansion	2051
mfgaexpansion_i	1288
mfgaexpansionall	175
mfgaexpansionatkin	77
mfgaloisprojrep	77
mfgaloistype	231
mfgaloistype0	224
mfgaloistype_i	182
mfgatogap	13041
mfgetembed	623
mfgetvan	189
mfhecke	119
mfhecke_i	25704
mfheckemat	77
mfheckemat_mfcoefs	350
mfheckemat_mfcoefs_p	35
mfheckemat_mfcoefs_p2	7
mfheckemat_p	343
mfinit	2450
mfinit_Nkchi	5075
mfinit_Nndkchi	2765
mfinit_i	3430
mfinitcusp	3269
mfinittonew	49
mfisCM	14
mfiscuspidal	238
mfisdihedral	224
mfisequal	196
mfisetaquo	49
mfisetaquo_i	49
mfisinkohnen	35
mfisinspace_i	259
mfisnotA5	105
mfisnotS4	105
mfistrivial	1372
mfkdims	2961
mfkdimsum	252
mfkohnenbasis	28
mfkohnenbasis_i	28
mfkohnenbijection	14
mfkohnenbijection_i	14
mfkohneneigenbasis	7
mflfuncreate	175
mflfuncreateall	147
mflinear	1106
mflinear_bhn	770
mflinear_i	490
mflinear_linear	2121
mflinear_strip	1960
mflineardiv_linear	2121
mflineardivtomat	644
mfmanin	42
mfmatembed	70
mfmatsermul	700
mfmatsermul_Fl	1141
mfmul	455
mfmultheta	448
mfnewchkzero	2673683
mfnewdim	16002
mfnewinit	15757
mfnewmathecke_p	924
mfnewtrace_i	2673683
mfnewtracecache	4646243
mfnewzerodata	33649
mfolddim	224
mfolddim_i	8512
mfparams	700
mfperiod_prelim	301
mfperiod_prelim_double	1253
mfperiodpol	35
mfperiodpolbasis	49
mfperiodpols_i	168
mfpetersson	126
mfpetersson2	21
mfpetersson_i	140
mfpeterssonnoncusp	14
mfpow	77
mfqk	6118
mfrhopol	402722
mfrhopol_eval	56622
mfrhopol_u_eval	4054376
mfrhopow	170066746
mfs_checkmf	49
mfs_iscusp	35
mfsamefield	4270
mfsearch	28
mfshifin	56
mfshift	42
mfshimura	63
mfshimura_space_cusp	49
mfskcx	7903
mfslashexpansion	1365
mfspace	287
mfspace_i	287
mfspclean	1092
mfsplit	112
mfstabiter	28
mfstabitermod	252
mfsturm	833
mfsturmNgk	3346
mfsturmNk	22036
mfsturm_mf	4592
mfsturmmf	427
mfsymbol	175
mfsymbol_i	168
mfsymboleval	210
mfsymboleval_direct	112
mfsymbolevalpartial	77
mftaylor	14
mfthetaI	56
mfthetaancreate	980
mfthetaexpansion	343
mfthetamultiplier	343
mftobasis	1029
mftobasisES	539
mftobasis_i	1449
mftocol	9121
mftocoset	7
mftocoset_i	9198
mftocoset_iD	9177
mftonew	217
mftonew_i	455
mftraceform	98
mftraceform_cusp	14
mftraceform_i	98
mftraceform_new	980
mftreatdihedral	784
mftrivial	91
mftwist	28
mfunram	119
mfval	49
mfvec_first_cusp	637
mfvecembed	1743
mfvectomat	2135
mintau	154
mkF2bd	1645
mkM	609
mkMinv	7819
mkNK	15267
mkS	21
mkbez	129171
mkeisen	6202
mkgNK	37863
mkgcd	129171
mklvchi	26810
mkmf	12544
mkmup	129171
mksqr	129171
moreorders	392
mubeta	7098
mubeta2	7850904
mutg1	163261104
mutglistall	16069092
mybezout	52164
mychareval	27645779
mycharexpo	626913
mychicgcd	411157547
mycore	72
mycoredisc2neg	179330287
mycoredisc2pos	14
mydivisorsu	71683095
myeulerphiu	110726
myfactoru	34098912
myimag_i	189
mymoebiusu	65709
mynffactor	1533
mynumdivu	3031
mypsiu	401541
myradicalu	119
mysqrtu	56
mysumdivku	48020
myugcd	288402905
myusqrt	84
newd_params	42525
newd_params2	21
newt_params	1941594
newtrace_DATA	34601
newtrace_stripped	34601
nf2_get_conj	5768
nf_primpart	455
nfcontent	294
non_residues	2814
normal	98
normalizeapprox	56
normalizeapprox_i	2898
not_in_space	77
nu2	17647
nu3	10220
nuinf	39116
ok_bhn_linear	4144
paramconst	133
pari_close_mf	1890
parse_vecj	15491
pathmattovec	7
phipart	36869
pindices	1834
pol_red	455
polabstorel	518
polishomogeneous	140
reset_cachenew	34601
rootspowers	217
same_cyc	616
search_A5	0
search_abelian	182
search_from_split	889
search_levels	63
search_solvable	77
seenD	413
sertocol	2583
sertocol2	70
sertovecslice	847
shift_M	1288
sigchi	24192
sigchi2	608559
sigchi2_Fl	77791
sigchi2_dec	686350
simple_pole	49
sort_by_dim	1092
space_is_cusp	6104
split	252
split_i	1169
split_ii	1491
split_starting_space	1092
sqrtm1modN	595
sqrtm3modN	581
symbol_same_mf	35
symbol_type	161
tag	10423
tag0	56
tag2	37499
tag3	16415
tag4	0
taglinear	2926
taglinear_i	7070
tagparams	64526
toRgX0	2863
tobasis	1057
tp2apply	70
tp2eapply	70
tracerel	253855
tracerel_i	80255
tracerel_z	6944
tracerelz	84756
trconj	270911
u_pporad	28
unact	14
unpack0	1043
unpack2	42
unpack23	308
update_Mj	1239
update_factor_cache	2131
val	189
valNC2	168
van_embedall	357
vanembed	490
vchip_FC	282559972
vchip_lift	428379
vchip_mod	6586245
vchip_polmod	1992428
vecGalois	1022
vecact_GL2	7
vecembed1	798
vecembed2	42
vecj_expand	11039
vecmfNK	3339
vecmflinear	1218
vecmflineardiv0	434
vecmflineardiv_linear	483
vecpermute_inplace	1372
vecpermute_partial	1610
vecpush	1239
wt1empty	16632
wt1mulcond	0
wt1newlevel	7
zero_at_cusp	168
zeta2CO	3696
znchareval_i	2556365
zncharsG	1169
znstar_get_expo	1302

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