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

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