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 30702-bddb8d6928) Lines: 7529 7736 97.3 % Date: 2026-02-23 02:23:56 Functions: 772 778 99.2 % Legend: Lines: hit not hit

Function Name	Hit count
A1	314033
A21	37829
A22	37829
A3	38213
A4	37427
AX_B	174
CHIvec_CHI	22212
CHIvec_N	24515922
CHIvec_expo	537354
CHIvec_ord	56838
CHIvec_parity	46932
CHIvec_val	23717292
CX_D	174
GL2toSL2	1223
Galois	25998
Haberland	120
Hfind	6
MF_get_CHI	7582
MF_get_E	3843
MF_get_M	5927
MF_get_Mindex	9119
MF_get_Minv	4175
MF_get_N	17197
MF_get_S	18472
MF_get_basis	1638
MF_get_dim	4835
MF_get_fields	528
MF_get_gN	18229
MF_get_gk	13304
MF_get_k	6204
MF_get_newforms	702
MF_get_r	240
MF_get_space	13191
MF_set_new	1362
MF_set_space	354
MFcusp_get_vMjd	588
MFnew_get_vj	6294
Mindex_as_coef	42
Minv_RgC_mul	6803
Minv_RgM_mul	1122
Miyake	72024
NK_eisen2	120
QabC_to_Flc	32712
QabM_Minv	522
QabM_indexrank	9054
QabM_init	1068
QabM_ker	1416
QabM_pseudoinv	936
QabM_pseudoinv_i	1164
QabM_rank	30
QabM_to_Flm	510
QabM_tracerel	132
QabV_tracerel	13883
QabX_to_Flx	1272
Qab_Czeta	1926827
Qab_Czeta_Fl	268320
Qab_to_Fl	7315680
Qab_trace_init	29195
Qab_tracerel	0
Qab_zeta	172086
RgC_Bd_expand	72570
RgC_embedall	300
RgM_Minv_mul	2100
RgV_approx	108
RgV_div_RgXn	342
RgV_heckef2	84
RgV_inflatemod	6
RgV_mul_RgXn	7602
RgV_normalize	1770
RgV_pows_RgXn	96
RgV_shift	9462
RgV_shimura	96
RgV_to_ser_full	4194
RgXV_embed	84
RgX_act_S	1104
RgX_act_gen	132
RgX_act_typ	2436
RgX_approx	2454
RgX_by_parity	12
RgX_embed	1446
RgX_embed1	12174
RgX_embed2	456
RgX_embedall	312
RgX_isspherical	24
RgX_valrem_root	60
RgXn_negpow	318
Rg_approx	7356
Rg_embed1	72559
Rg_embed2	11424
Rg_embedall	81554
Rg_embedall_i	4206
SL2_div_D	7866
TA1	5626317
TA2	5626317
TA2_t	277787665
TA3	5626317
TA4	5626317
Tp	402
Tpmod	2064
Unelson	61656
VS	54636
Wcoshall	8832
WfromZ	63468
Wint	8832
Wint2	54636
Wparams	8832
ZM_mulS	1146
ZM_mulT	3972
ZM_mulTi	2016
ZX_roots	156
ZabM_pseudoinv_i	948
_RgXQM_mul	324
abundant	2231
act_GL2	228
act_S	2208
actal	36
anextract	2268
anyembed	24
append_dihedral	16044
atkin_get_NQ	210
auxsum	29181003
badchar	6796
bdexpand	12144
bdexpandall	293
bern_init	1734
bestapprnf2	108
bestapprnfrel	1302
bhn_newtrace	29994
bhn_parse	72570
bhnmat_extend	7956
bhnmat_extend_nocache	6078
bnrchartwist2conrey	29562
c_Bd	6450
c_Ek	754
c_F2TH4	228
c_QF_i	48
c_QFsimple_i	42
c_bracket	36
c_const	126
c_cusptrace	18
c_deflate	7662
c_delta	462
c_deriv	150
c_derivE2	12
c_dihedral	4782
c_div	726
c_div_i	726
c_ell	66
c_etaquo	174
c_hecke	1068
c_linear	2592
c_linear_bhn	1998
c_mfEH	294
c_mfeisen	9737
c_mul	546
c_newtrace	1644
c_pow	96
c_shift	30
c_theta	1668
c_twist	144
cache_delete	7440
cache_get	391205938
cache_report	60
cache_reset	296
cache_set	308
ceilA1	6648
char2	9690
charLFwt1	2244
charLFwt1_Fl	1716
charLFwtk	3905
charLFwtk_Fl	2766
char_normalize_zv	101586
charistotallyeven	11868
charsmodN	558
checkCHI	7925
checkMF	3622
checkMF_i	16532
checkNK	114
checkNK2	7931
checkPv	24
check_M2Z	2986
check_SL2Z	1763
checkbij_i	6
checkemb_i	24
checkfs2_i	180
checkfs_i	684
checkmf2	37488
checkmf_i	16765
checkmfa	54
chicompat	2430
chicompatfix	558
chicompatlift	558
cmp_coset	30402
cmp_ord	318
cmp_small_priority	63798
col2cusp	108
colnewtrace	159084
condC	1344
conreydenormalize	29562
const_mat	780
constcoredisc	35
constdiv	85
constfact	114
consttabdihedral	12
consttabh	85
corediscs_fact	2814566
coset_complete	10254
cusp2mat	444
cusp_AC	971
cusp_canon	312
cxredga0N	155
cyc_normalize_zv	22980
dbg_cachenew	15240
deg1ser_shallow	42
desc	534
desc_dihedral	18
desc_hecke	30
desc_i	1320
desc_linear	84
desc_mfeisen	432
di_N	36036
dihan	11634
dihan_bnf	7998
dihan_bnr	32364
dim22	3168
dim_filter	36
dim_sum	246
discard_Ti	0
div_restrict	288240
divisorsNF	276
eiscnm	8258724
err_cyclo	12
err_space	6
eta3_ZXn	450
evalcusp	311
expandbd	5016
expandbd_Fl	6612
f00	10668
f00_i	11766
fg1g2n	733086
findbestsplit	1164
findd	186
findq	12
findqga	78
findqganew	42
fix_pol	200724
fmt_dim	3414
foo_stable	36
fs2_get_F	48
fs2_get_MF	48
fs2_get_W	48
fs2_get_al0	48
fs2_get_bitprec	0
fs2_get_cusps	48
fs2_get_den	18
fs2_init	18
fs_get_EF	60
fs_get_MF	1254
fs_get_bitprec	540
fs_get_cosets	1878
fs_get_expan	1620
fs_get_pols	1368
fs_get_vE	1068
fs_get_vES	726
fs_set_expan	24
gausssumcx	29130
get_DIH	10590
get_P	222
get_PSI	256950
get_Shimura	18
get_badj	6648
get_bnrconreyN	13596
get_gb	6690
get_mf_F	468
get_mfchar	3492
get_vDIH	2034
get_vP	18
getcache	12
getcols	1746
getcols_i	4332
getcolsgen	378
getcolswt2	216
getembed	803
getnlim2	2190
getw1w2	2190
gmfcharmodulus	1388379
gmfcharno	3414
gmfcharorder	3322482
grootsof1_CHI	677
gsubstvec_i	12
hash_eisengacx	16488
hclassno6_count	31
hclassno6u	1876052
hclassno6u_2	43
hclassno6u_fund	9212856
hclassno6u_i	135725073
hclassno6u_no_cache	62073
hecke_data	15828
hecke_i	2334
heckef2_data	72
heckenewtrace	78498
improve	4920
induce	267582
induceN	36408
inflatemod	42
init_cachenew	11700
initnewtrace	28842
initnewtrace_i	28752
inittrace	110718
inittrconj	28752
initwt1newtrace	18
initwt1trace	24
intAoo	810
intAoo0	66
intAoowithvanall	126
inveis_extraprec	60
is_cond	42312
lamCO	2880
lamsig	5246060
lfunfindchi	18
lfunmf	84
lfunquadneg_naive	24
lfuntag	1024
lfunthetaall	137
m1pk	7108
mat2cusp	96
matTp	48
matTpmod	258
matdeflate	336
merge_dims	6
mf1	36
mf1_cusptonew	216
mf1_pre	1572
mf1basis	9672
mf1chars	1482
mf1cuspdim	408
mf1cuspdim_i	6270
mf1cuspdimall	3552
mf1cuspdimsum	3534
mf1dimmod	510
mf1dims	90
mf1dimsum	1812
mf1init	3402
mf1intermat	192
mf1newdimall	48
mf1newdimsum	900
mf1olddimall	24
mf1olddimsum	402
mf2basis	234
mf2dim_Nkchi	37254
mf2dimwt12	35454
mf2dimwt32	594
mf2gaexpansion	294
mf2init	84
mf2init_Nkchi	234
mfDelta	48
mfEH	228
mfEHcoef	66
mfEHmat	228
mfEMPTY	881
mfEMPTYall	528
mfEk	347
mfTheta	690
mfZC_width	8549
mf_eisendec	1044
mf_get_CHI	56162
mf_get_N	106299
mf_get_NK	16878
mf_get_field	21497
mf_get_gN	164541
mf_get_gk	123958
mf_get_k	63196
mf_get_r	378
mf_get_type	206659
mf_normalize	1320
mf_same_CHI	982
mf_same_k	1018
mf_setfield	504
mfak_i	390
mfalchi2	11178
mfatkin	54
mfatkineigenquad	48
mfatkineigenvalues	42
mfatkininit	84
mfatkininit_i	192
mfatkinmatnewquad	96
mfbasis	318
mfbd	228
mfbd_E2	618
mfbd_i	31697
mfbdall	6329
mfbracket	24
mfcanfindp0	12
mfcharAL	96
mfcharGL	324694
mfcharchiliftprim	36
mfcharconductor	341097
mfcharconj	48
mfcharcxeval	8153
mfcharcxinit	29130
mfchardiv	8724
mfchardiv_i	8724
mfchareval	12474
mfcharevalord	3150394
mfchargalois	4176
mfcharinduce	11184
mfcharinit	28758
mfcharinv_i	510
mfcharistrivial	2322
mfcharmodulus	1388379
mfcharmul	966
mfcharmul_i	258852
mfcharmulcxeval	11178
mfcharmuleval	22356
mfcharno	11742
mfcharorder	3272382
mfcharparity	58858
mfcharpol	513728
mfcharpow	138
mfchars	2790
mfchartoprimitive	70570
mfchartrivial	5020
mfcheapeisen	131
mfchiadjust	2514
mfchiembed	6
mfchilift	936
mfchisimpl	1368
mfclean	4325
mfclean2	738
mfcleanCHI	3509
mfcoef	258
mfcoefs	3552
mfcoefs_i	33051
mfcoefs_mf	2255
mfcoefsser	582
mfconductor	150
mfconreyminimize	10404
mfcosets	144
mfcuspcanon_width	857
mfcuspdim	2963
mfcuspdim_i	37493
mfcuspisregular	270
mfcusps	24
mfcusps_i	42
mfcusptrace_i	5626317
mfcusptracecache	6729339
mfcuspval	174
mfcuspwidth	138
mfderiv	156
mfderivE2	18
mfdescribe	828
mfdihedral	12
mfdihedralall	12
mfdihedralcommon	28884
mfdihedralcusp	3306
mfdihedralcuspdim	6090
mfdihedralnew	7560
mfdihedralnew_i	21402
mfdihedralnewdim	13842
mfdiheval	92238
mfdim	4902
mfdim0all	2580
mfdim_Nkchi	1200
mfdim_Nndkchi	38352
mfdiv	42
mfdiv_val	1950
mfeigenbasis	312
mfeigenembed	138
mfeigensearch	30
mfeisenstein	324
mfeisenstein2_0	7169
mfeisenstein2_0_Fl	4332
mfeisenstein2all	2267
mfeisenstein2pure	4788
mfeisenstein2pure_Fl	4332
mfeisenstein_i	324
mfeisenstein_prim	294
mfeisensteinbasis	1247
mfeisensteinbasis_i	1223
mfeisensteindec	1044
mfeisensteindim	198
mfeisensteingacx	11178
mfeisensteinspaceinit	522
mfeisensteinspaceinit_i	558
mfembed	86431
mfembed0	42
mfeval	143
mfeval_i	143
mffields	30
mffindeisen1	30
mffindrootof1	5778
mffrickeeigen	72
mffrickeeigen_i	102
mffromell	24
mffrometaquo	180
mffromlfun	18
mffromqf	66
mffulldim	744
mffvanish	12
mfgaexpansion	1757
mfgaexpansion_i	1104
mfgaexpansionall	150
mfgaexpansionatkin	66
mfgaloisprojrep	66
mfgaloistype	198
mfgaloistype0	192
mfgaloistype_i	156
mfgatogap	11178
mfgetembed	533
mfgetvan	162
mfhecke	102
mfhecke_i	22032
mfheckemat	66
mfheckemat_mfcoefs	300
mfheckemat_mfcoefs_p	30
mfheckemat_mfcoefs_p2	6
mfheckemat_p	294
mfinit	2099
mfinit_Nkchi	4349
mfinit_Nndkchi	2369
mfinit_i	2939
mfinitcusp	2801
mfinittonew	42
mfisCM	12
mfiscuspidal	203
mfisdihedral	192
mfisequal	168
mfisetaquo	42
mfisetaquo_i	42
mfisinkohnen	30
mfisinspace_i	221
mfisnotA5	90
mfisnotS4	90
mfistrivial	1174
mfkdims	2538
mfkdimsum	216
mfkohnenbasis	24
mfkohnenbasis_i	24
mfkohnenbijection	12
mfkohnenbijection_i	12
mfkohneneigenbasis	6
mflfuncreate	150
mflfuncreateall	126
mflinear	948
mflinear_bhn	660
mflinear_i	420
mflinear_linear	1818
mflinear_strip	1680
mflineardiv_linear	1818
mflineardivtomat	552
mfmanin	36
mfmatembed	60
mfmatsermul	600
mfmatsermul_Fl	978
mfmul	390
mfmultheta	384
mfnewchkzero	2291724
mfnewdim	13716
mfnewinit	13506
mfnewmathecke_p	792
mfnewtrace_i	2291724
mfnewtracecache	3982488
mfnewzerodata	28842
mfolddim	192
mfolddim_i	7296
mfparams	600
mfperiod_prelim	258
mfperiod_prelim_double	1074
mfperiodpol	30
mfperiodpolbasis	42
mfperiodpols_i	144
mfpetersson	108
mfpetersson2	18
mfpetersson_i	120
mfpeterssonnoncusp	12
mfpow	66
mfqk	5244
mfrhopol	345180
mfrhopol_eval	40445
mfrhopol_u_eval	3466842
mfrhopow	145771241
mfs_checkmf	42
mfs_iscusp	30
mfsamefield	3660
mfsearch	24
mfshifin	48
mfshift	36
mfshimura	54
mfshimura_space_cusp	42
mfskcx	6774
mfslashexpansion	1169
mfspace	246
mfspace_i	246
mfspclean	936
mfsplit	96
mfstabiter	24
mfstabitermod	216
mfsturm	714
mfsturmNgk	2866
mfsturmNk	18887
mfsturm_mf	3936
mfsturmmf	366
mfsymbol	150
mfsymbol_i	144
mfsymboleval	180
mfsymboleval_direct	96
mfsymbolevalpartial	66
mftaylor	12
mfthetaI	48
mfthetaancreate	838
mfthetaexpansion	294
mfthetamultiplier	294
mftobasis	881
mftobasisES	462
mftobasis_i	1241
mftocol	7817
mftocoset	6
mftocoset_i	7884
mftocoset_iD	7866
mftonew	186
mftonew_i	390
mftraceform	84
mftraceform_cusp	12
mftraceform_i	84
mftraceform_new	840
mftreatdihedral	672
mftrivial	78
mftwist	24
mfunram	102
mfval	42
mfvec_first_cusp	546
mfvecembed	1493
mfvectomat	1829
mintau	131
mkF2bd	1410
mkM	522
mkMinv	6700
mkNK	13084
mkS	18
mkbez	110718
mkeisen	5316
mkgNK	32452
mkgcd	110718
mklvchi	22980
mkmf	10751
mkmup	110718
mksqr	110718
moreorders	336
mubeta	6084
mubeta2	6729339
mutg1	139937907
mutglistall	13773434
mybezout	44712
mychareval	23696382
mycharexpo	537354
mychicgcd	352420410
mycore	60
mycoredisc2neg	153711396
mycoredisc2pos	12
mydivisorsu	61442398
myeulerphiu	94907
myfactoru	29227476
myimag_i	161
mymoebiusu	56322
mynffactor	1314
mynumdivu	2597
mypsiu	344174
myradicalu	102
mysqrtu	48
mysumdivku	41150
myugcd	247202027
myusqrt	72
newd_params	36450
newd_params2	18
newt_params	1664221
newtrace_DATA	29658
newtrace_stripped	29658
nf2_get_conj	4944
nf_primpart	390
nfcontent	252
non_residues	2412
normal	84
normalizeapprox	48
normalizeapprox_i	2484
not_in_space	66
nu2	15126
nu3	8760
nuinf	33527
ok_bhn_linear	3552
paramconst	114
pari_close_mf	1488
parse_vecj	13278
pathmattovec	6
phipart	31602
pindices	1572
pol_red	390
polabstorel	444
polishomogeneous	120
reset_cachenew	29658
rootspowers	186
same_cyc	528
search_A5	0
search_abelian	156
search_from_split	762
search_levels	54
search_solvable	66
seenD	354
sertocol	2214
sertocol2	60
sertovecslice	726
shift_M	1104
sigchi	20736
sigchi2	521621
sigchi2_Fl	66678
sigchi2_dec	588299
simple_pole	42
sort_by_dim	936
space_is_cusp	5230
split	216
split_i	1002
split_ii	1278
split_starting_space	936
sqrtm1modN	510
sqrtm3modN	498
symbol_same_mf	30
symbol_type	138
tag	8933
tag0	48
tag2	32141
tag3	14070
tag4	0
taglinear	2508
taglinear_i	6060
tagparams	55306
toRgX0	2454
tobasis	906
tp2apply	60
tp2eapply	60
tracerel	217590
tracerel_i	68790
tracerel_z	5952
tracerelz	72648
trconj	232207
u_pporad	24
unact	12
unpack0	894
unpack2	36
unpack23	264
update_Mj	1062
update_factor_cache	736
val	162
valNC2	144
van_embedall	305
vanembed	420
vchip_FC	242194069
vchip_lift	367182
vchip_mod	5645347
vchip_polmod	1707793
vecGalois	876
vecact_GL2	6
vecembed1	684
vecembed2	36
vecj_expand	9462
vecmfNK	2862
vecmflinear	1044
vecmflineardiv0	372
vecmflineardiv_linear	414
vecpermute_inplace	1176
vecpermute_partial	1379
vecpush	1062
wt1empty	14256
wt1mulcond	0
wt1newlevel	6
zero_at_cusp	144
zeta2CO	3168
znchareval_i	2191170
zncharsG	1002
znstar_get_expo	1116

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