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 30347-cb65b7994e) Lines: 7496 7701 97.3 % Date: 2025-06-27 09:22:08 Functions: 769 775 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
mfkohnenbasis	21
mfkohnenbasis_i	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
mfisinkohnen	28
mfsearch	28
mfstabiter	28
mftwist	28
u_pporad	28
QabM_rank	35
c_shift	35
desc_hecke	35
mfcharchiliftprim	35
mfeigensearch	35
mffields	35
mffindeisen1	35
mfheckemat_mfcoefs_p	35
mfperiodpol	35
mfs_iscusp	35
symbol_same_mf	35
actal	42
c_bracket	42
dim_filter	42
foo_stable	42
mf1	42
mfmanin	42
mfshift	42
mfshimura_space_cusp	42
unpack2	42
vecembed2	42
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	49
mfval	49
simple_pole	49
constcoredisc	51
c_QF_i	56
checkmfa	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
mfatkin	56
mfatkineigenquad	56
mfcharconj	56
mfthetaI	56
mysqrtu	56
normalizeapprox	56
tag0	56
hclassno6_count	62
search_levels	63
RgX_valrem_root	70
cache_report	70
fs_get_EF	70
inveis_extraprec	70
mfmatembed	70
mycore	70
sertocol2	70
tp2apply	70
tp2eapply	70
c_ell	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
mftrivial	84
myusqrt	84
findqga	91
hclassno6u_2	91
mfatkininit	91
RgV_heckef2	98
RgXV_embed	98
desc_linear	98
lfunmf	98
mf2init	98
mftraceform	98
mftraceform_i	98
normal	98
RgV_shimura	105
mf1dims	105
mfcharAL	105
mfhecke	105
mfisnotA5	105
mfisnotS4	105
RgV_pows_RgXn	112
c_pow	112
mat2cusp	112
mfatkinmatnewquad	112
mfsplit	112
mfsymboleval_direct	112
mffrickeeigen_i	119
mfunram	119
myradicalu	119
RgV_approx	126
bestapprnf2	126
col2cusp	126
mfpetersson	126
paramconst	126
NK_eisen2	133
checkNK	133
Haberland	140
c_const	140
mfpetersson_i	140
polishomogeneous	140
QabM_tracerel	147
intAoowithvanall	147
mfcharpow	147
mflfuncreateall	147
constdiv	152
RgX_act_gen	154
mfcheapeisen	154
mintau	154
consttabh	155
lfunthetaall	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
mfatkininit_i	217
mftonew	217
rootspowers	217
mf1intermat	224
mfgaloistype0	224
mfisdihedral	224
mfolddim	224
mfeisensteindim	231
mfgaloistype	231
mfiscuspidal	231
atkin_get_NQ	238
MF_get_r	245
getcolswt2	252
mf1_cusptonew	252
mfkdimsum	252
mfstabitermod	252
split	252
get_P	259
mfisinspace_i	259
act_GL2	266
c_F2TH4	266
mf2basis	266
mf2init_Nkchi	266
mfEH	266
mfEHmat	266
mfbd	266
dim_sum	287
mfspace	287
mfspace_i	287
nfcontent	294
matTpmod	301
mfcoef	301
mfperiod_prelim	301
unpack23	308
mfcuspisregular	315
divisorsNF	322
bdexpandall	329
c_mfEH	343
mf2gaexpansion	343
mfheckemat_p	343
mfthetaexpansion	343
mfthetamultiplier	343
RgC_embedall	350
mfheckemat_mfcoefs	350
mfbasis	357
van_embedall	357
RgX_embedall	364
cusp_canon	364
evalcusp	364
mfeigenbasis	364
cmp_ord	371
mfeisenstein	371
mfeisenstein_i	371
RgXn_negpow	375
_RgXQM_mul	378
matdeflate	385
moreorders	392
RgV_div_RgXn	399
mfEk	406
MF_set_space	413
seenD	413
getcolsgen	427
mfsturmmf	427
vecmflineardiv0	427
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	476
mflinear_i	490
vanembed	490
desc_mfeisen	504
cache_reset	517
cusp2mat	518
polabstorel	518
eta3_ZXn	525
cache_set	531
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	602
mfeisensteinspaceinit	602
mkM	602
MF_get_fields	616
mfEMPTYall	616
same_cyc	616
desc	623
mfgetembed	623
mfvec_first_cusp	623
fs_get_bitprec	630
mflineardivtomat	630
c_mul	637
charsmodN	644
mfeisensteinspaceinit_i	644
chicompatfix	651
chicompatlift	651
mfcoefsser	665
MFcusp_get_vMjd	686
mfmatsermul	686
mf2dimwt32	693
mfparams	700
mfbd_E2	721
mflinear_bhn	770
mftreatdihedral	784
grootsof1_CHI	791
checkfs_i	798
mfTheta	798
vecembed1	798
mfsturm	812
MF_get_newforms	819
c_div	833
c_div_i	833
sertovecslice	833
fs_get_vES	847
mfclean2	861
mffulldim	861
c_Ek	882
search_from_split	889
const_mat	910
mfnewmathecke_p	924
getembed	938
intAoo	945
mfdescribe	966
mfchilift	980
mfthetaancreate	980
mftraceform_new	980
mfcuspcanon_width	987
mf_eisendec	1015
mfeisensteindec	1015
tobasis	1015
vecGalois	1022
mfEMPTY	1029
mftobasis	1029
unpack0	1043
c_hecke	1050
mf1newdimsum	1050
mflinear	1057
mfgaexpansion_i	1085
shift_M	1085
QabM_pseudoinv	1092
mfspclean	1092
sort_by_dim	1092
split_starting_space	1092
ZabM_pseudoinv_i	1106
mfcharmul	1106
cusp_AC	1134
mfmatsermul_Fl	1141
mf_same_CHI	1148
mfslashexpansion	1148
split_i	1169
zncharsG	1169
mf_same_k	1190
update_Mj	1190
lfuntag	1197
GL2toSL2	1211
vecmflinear	1211
QabM_init	1239
vecpush	1239
fs_get_vE	1246
mfperiod_prelim_double	1253
RgX_act_S	1288
znstar_get_expo	1288
Minv_RgM_mul	1309
ZM_mulS	1337
QabM_pseudoinv_i	1351
findbestsplit	1358
vecpermute_inplace	1358
mfistrivial	1372
MF_set_new	1379
vecpermute_partial	1386
mfdim_Nkchi	1393
mfeisensteinbasis_i	1407
mftobasis_i	1428
mfeisensteinbasis	1435
fs_get_MF	1463
QabX_to_Flx	1484
split_ii	1491
bestapprnfrel	1519
mynffactor	1533
desc_i	1540
mf_normalize	1540
condC	1568
bern_init	1589
fs_get_pols	1596
mfchisimpl	1596
QabM_ker	1638
mkF2bd	1645
RgX_embed	1687
mf1chars	1729
mfvecembed	1743
getcols	1806
mf1_pre	1834
mfgaexpansion	1834
pindices	1834
check_SL2Z	1841
MF_get_basis	1862
fs_get_expan	1890
pari_close_mf	1890
c_newtrace	1897
c_theta	1911
mflinear_strip	1911
charLFwt1_Fl	2002
mflinear_linear	2016
mflineardiv_linear	2016
RgV_normalize	2065
mf1dimsum	2114
mfvectomat	2114
mfdiv_val	2163
fs_get_cosets	2191
update_factor_cache	2262
c_linear_bhn	2303
mfqk	2338
ZM_mulTi	2352
get_vDIH	2373
sertocol	2387
Tpmod	2408
mfinit	2422
RgM_Minv_mul	2436
hecke_i	2527
getnlim2	2555
getw1w2	2555
abundant	2576
act_S	2576
mfcoefs_mf	2611
anextract	2618
charLFwt1	2618
mfeisenstein2all	2625
mfcharistrivial	2709
chicompat	2723
mfinit_Nndkchi	2737
taglinear	2786
non_residues	2814
mfchiadjust	2821
RgX_act_typ	2842
RgX_approx	2863
toRgX0	2863
charLFwtk_Fl	2891
normalizeapprox_i	2898
mfkdims	2961
c_linear	3003
mynumdivu	3003
mfdim0all	3010
check_M2Z	3052
mfinitcusp	3227
vecmfNK	3227
mfchars	3255
mfsturmNgk	3318
mfskcx	3346
lamCO	3360
RgV_mul_RgXn	3381
mfinit_i	3402
mfcuspdim	3409
dim22	3696
zeta2CO	3696
mfdihedralcusp	3857
mfcoefs	3906
checkMF	3969
mf1init	3969
fmt_dim	3983
gmfcharno	3983
ok_bhn_linear	3997
get_mfchar	4046
mfcleanCHI	4060
mfsamefield	4067
mf1cuspdimsum	4123
mf1cuspdimall	4144
charLFwtk	4361
getcols_i	4382
mfeisenstein2_0_Fl	4382
mfeisenstein2pure_Fl	4382
MF_get_E	4459
mfsturm_mf	4571
ZM_mulT	4634
RgV_to_ser_full	4655
MF_get_Minv	4844
f00	4865
mfchargalois	4872
Rg_embedall_i	4907
mfclean	5012
mfinit_Nkchi	5033
RgV_shift	5159
vecj_expand	5159
mfeisenstein2pure	5166
expandbd	5425
mfalchi2	5460
mfcharmulcxeval	5460
mfeisensteingacx	5460
mfgatogap	5460
mfchardiv	5509
mfchardiv_i	5509
c_dihedral	5579
MF_get_dim	5614
mfdim	5719
improve	5740
nf2_get_conj	5768
mkeisen	5782
mfchartrivial	5810
space_is_cusp	6048
f00_i	6146
bdexpand	6370
char2	6615
mffindrootof1	6741
taglinear_i	6832
MF_get_M	6895
tracerel_z	6944
expandbd_Fl	7021
mubeta	7028
bhnmat_extend_nocache	7035
mfdihedralcuspdim	7105
MF_get_k	7217
MFnew_get_vj	7245
mf1cuspdim_i	7315
mfbdall	7364
c_Bd	7469
Minv_RgC_mul	7497
ceilA1	7658
get_badj	7658
mkMinv	7770
get_gb	7805
badchar	7861
hash_eisengacx	7868
mfeisenstein2_0	7917
m1pk	8218
mfolddim_i	8414
Rg_approx	8582
MF_get_CHI	8813
mfdihedralnew	8820
c_deflate	8834
mftocol	9086
SL2_div_D	9177
mftocoset_iD	9177
bhnmat_extend	9198
mftocoset_i	9198
checkCHI	9219
checkNK2	9226
dihan_bnf	9331
parse_vecj	9394
cache_delete	9450
mfcharcxeval	9499
mfZC_width	9772
nu3	10185
Wcoshall	10304
Wint	10304
Wparams	10304
tag	10318
QabM_indexrank	10458
MF_get_Mindex	10591
mfcharmuleval	10920
c_mfeisen	11277
mf1basis	11284
coset_complete	11963
mfconreyminimize	12138
get_DIH	12355
mkmf	12397
mfcharinduce	13048
Rg_embed2	13328
init_cachenew	13349
dihan	13573
mfcharno	13692
charistotallyeven	13846
RgX_embed1	14203
mfchareval	14238
gausssumcx	14266
mfcharcxinit	14266
MF_get_space	14924
MF_get_gk	15008
mkNK	15134
CHIvec_CHI	15456
mfnewinit	15638
get_bnrconreyN	15862
mfnewdim	15883
QabV_tracerel	16114
mfdihedralnewdim	16149
tag3	16177
wt1empty	16632
dbg_cachenew	17402
nu2	17563
hecke_data	17822
append_dihedral	18718
checkmf_i	18900
checkMF_i	18914
mf_get_NK	19061
MF_get_N	19481
MF_get_gN	20685
MF_get_S	21378
mybezout	21840
mfsturmNk	21847
sigchi	24192
mf_get_field	24437
mfdihedralnew_i	24969
mfhecke_i	24976
cyc_normalize_zv	26810
mklvchi	26810
Galois	30331
bhn_newtrace	32641
initnewtrace_i	32977
inittrconj	32977
mfcharinit	32984
initnewtrace	33082
mfnewzerodata	33082
mfdihedralcommon	33698
Qab_trace_init	34034
newtrace_DATA	34034
newtrace_stripped	34034
reset_cachenew	34034
bnrchartwist2conrey	34489
conreydenormalize	34489
cmp_coset	35469
CHIvec_ord	35777
mfbd_i	36022
tag2	36512
phipart	36869
mkgNK	37247
dihan_bnr	37758
mfcoefs_i	38101
QabC_to_Flc	38164
nuinf	38969
mf2dimwt12	41363
newd_params	41860
di_N	42042
induceN	42364
A4	43386
mf2dim_Nkchi	43463
mfcuspdim_i	43463
checkmf2	43729
A21	43848
A22	43848
A3	44296
mfdim_Nndkchi	44744
mysumdivku	48020
is_cond	49364
CHIvec_parity	54082
sigchi2_Fl	55615
mfrhopol_eval	56620
mf_get_CHI	62230
tagparams	63189
VS	63742
Wint2	63742
mymoebiusu	65709
mfcharparity	68432
Unelson	71932
mf_get_k	72366
cmp_small_priority	73759
WfromZ	74046
mfchartoprimitive	76762
tracerel_i	80255
RgC_Bd_expand	83195
bhn_parse	83195
Miyake	84028
Rg_embed1	84658
tracerelz	84756
hclassno6u_no_cache	86910
heckenewtrace	89516
Rg_embedall	95154
mfembed	100845
mfdiheval	107611
myeulerphiu	110075
char_normalize_zv	118517
mf_get_N	119784
inittrace	127827
mkbez	127827
mkgcd	127827
mkmup	127827
mksqr	127827
mf_get_gk	139895
colnewtrace	180894
mf_get_gN	184982
Qab_zeta	200753
trconj	219391
Qab_Czeta_Fl	221585
mf_get_type	232953
fix_pol	234178
tracerel	253855
get_PSI	299775
mfcharmul_i	301861
induce	307937
div_restrict	324443
A1	362040
mfcharGL	373919
mfrhopol	377249
mypsiu	396893
mfcharconductor	397572
vchip_lift	413924
CHIvec_expo	422457
mycharexpo	422457
mfcharpol	564396
sigchi2	593803
fg1g2n	612675
sigchi2_dec	649418
gmfcharmodulus	1562169
mfcharmodulus	1562169
newt_params	1890095
vchip_polmod	1940929
Qab_Czeta	2190258
znchareval_i	2508324
hclassno6u	2551863
mfnewchkzero	2615639
mfnewtrace_i	2615639
mfrhopol_u_eval	3555581
mfcharevalord	3563462
mfcharorder	3685150
gmfcharorder	3723566
mfnewtracecache	4533487
corediscs_fact	5558494
TA1	6425060
TA2	6425060
TA3	6425060
TA4	6425060
mfcusptrace_i	6425060
vchip_mod	6469072
mfcusptracecache	7688644
mubeta2	7688644
eiscnm	7830900
Qab_to_Fl	8534960
myh	10652124
lamsig	13890742
mutglistall	15231080
mychareval	24038714
CHIvec_val	24048745
CHIvec_N	24695398
auxsum	33313797
myfactoru	33752249
mydivisorsu	69217520
hclassno6u_i	156884699
mutg1	161708658
mfrhopowsimp	168502148
mycoredisc2neg	176939843
vchip_FC	280074958
myugcd	283765405
mychicgcd	403330434
cache_get	450010838

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