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 30367-364c17a628) Lines: 7497 7701 97.4 % Date: 2025-07-03 09:21:30 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
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	49
mfval	49
simple_pole	49
hclassno6_count	51
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
mfthetaI	56
mysqrtu	56
normalizeapprox	56
tag0	56
checkmfa	63
mfatkin	63
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
hclassno6u_2	76
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
RgV_heckef2	98
RgXV_embed	98
desc_linear	98
lfunmf	98
mf2init	98
mfatkininit	98
mftraceform	98
mftraceform_i	98
normal	98
RgV_shimura	105
mf1dims	105
mfhecke	105
mfisnotA5	105
mfisnotS4	105
RgV_pows_RgXn	112
c_pow	112
mat2cusp	112
mfatkinmatnewquad	112
mfcharAL	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
consttabh	152
RgX_act_gen	154
mfcheapeisen	154
mintau	154
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
mftonew	217
rootspowers	217
mf1intermat	224
mfatkininit_i	224
mfgaloistype0	224
mfisdihedral	224
mfolddim	224
mfeisensteindim	231
mfgaloistype	231
mfiscuspidal	231
MF_get_r	245
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
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	343
c_mfEH	343
mf2gaexpansion	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
mfbasis	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
mfsturmmf	427
vecmflineardiv0	427
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	476
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
mfvec_first_cusp	623
fs_get_bitprec	630
mflineardivtomat	630
c_mul	637
charsmodN	651
chicompatfix	651
chicompatlift	651
mfeisensteinspaceinit_i	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
MF_get_newforms	819
mfsturm	826
c_div	833
c_div_i	833
sertovecslice	833
fs_get_vES	847
mfclean2	861
mffulldim	868
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	1001
tobasis	1022
vecGalois	1022
mfEMPTY	1029
mftobasis	1029
unpack0	1043
mf1newdimsum	1050
mflinear	1064
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
split_i	1169
zncharsG	1169
mf_same_k	1190
lfuntag	1197
vecmflinear	1211
mf_eisendec	1218
mfeisensteindec	1218
c_hecke	1232
update_Mj	1239
vecpush	1239
QabM_init	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	1351
findbestsplit	1358
vecpermute_inplace	1358
mfslashexpansion	1365
mfistrivial	1372
mfdim_Nkchi	1393
mfeisensteinbasis_i	1421
GL2toSL2	1428
mftobasis_i	1435
mfeisensteinbasis	1449
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	1603
QabM_ker	1638
mkF2bd	1645
RgX_embed	1687
mf1chars	1729
mfvecembed	1743
mf1_pre	1834
pindices	1834
MF_get_basis	1876
fs_get_expan	1890
pari_close_mf	1890
c_theta	1911
c_newtrace	1918
mflinear_strip	1918
charLFwt1_Fl	2002
bern_init	2016
mflinear_linear	2016
mflineardiv_linear	2016
getcols	2037
mfgaexpansion	2051
check_SL2Z	2058
RgV_normalize	2065
mf1dimsum	2114
mfvectomat	2128
update_factor_cache	2134
mfdiv_val	2163
fs_get_cosets	2191
c_linear_bhn	2303
ZM_mulTi	2352
get_vDIH	2373
sertocol	2387
Tpmod	2408
RgM_Minv_mul	2436
mfinit	2436
getnlim2	2555
getw1w2	2555
act_S	2576
abundant	2590
mfcoefs_mf	2611
anextract	2618
charLFwt1	2618
mfeisenstein2all	2639
hecke_i	2709
mfcharistrivial	2709
chicompat	2723
mfinit_Nndkchi	2751
taglinear	2793
non_residues	2814
mfchiadjust	2821
RgX_act_typ	2842
RgX_approx	2863
toRgX0	2863
normalizeapprox_i	2898
mfkdims	2961
c_linear	3010
mfdim0all	3010
mynumdivu	3017
charLFwtk_Fl	3227
vecmfNK	3227
mfinitcusp	3241
mfchars	3255
mfsturmNgk	3318
lamCO	3360
mfinit_i	3416
mfcuspdim	3423
check_M2Z	3486
dim22	3696
zeta2CO	3696
mfdihedralcusp	3857
mf1init	3969
fmt_dim	3983
gmfcharno	3983
ok_bhn_linear	4004
get_mfchar	4046
mfcleanCHI	4074
mfsamefield	4074
mfcoefs	4116
mf1cuspdimsum	4123
mf1cuspdimall	4144
checkMF	4193
MF_get_E	4466
charLFwtk	4543
mfsturm_mf	4585
ZM_mulT	4634
RgV_to_ser_full	4655
MF_get_Minv	4858
mfchargalois	4872
Rg_embedall_i	4907
mfclean	5026
mfinit_Nkchi	5047
getcols_i	5054
mfeisenstein2_0_Fl	5054
mfeisenstein2pure_Fl	5054
c_dihedral	5579
mfeisenstein2pure	5586
MF_get_dim	5621
mfdim	5719
improve	5740
nf2_get_conj	5768
mfchartrivial	5824
expandbd	5845
space_is_cusp	6069
mfqk	6118
mkeisen	6202
mffindrootof1	6741
taglinear_i	6839
MF_get_M	6895
tracerel_z	6944
bhnmat_extend_nocache	7035
mubeta	7042
mfdihedralcuspdim	7105
MF_get_k	7224
MFnew_get_vj	7273
mf1cuspdim_i	7315
mfbdall	7378
c_Bd	7504
ceilA1	7686
get_badj	7686
expandbd_Fl	7714
mkMinv	7791
get_gb	7805
badchar	7889
mfskcx	7903
Minv_RgC_mul	7924
m1pk	8246
mfeisenstein2_0	8351
mfolddim_i	8442
Rg_approx	8582
mfdihedralnew	8820
MF_get_CHI	8827
c_deflate	8834
RgV_mul_RgXn	8869
mftocol	9114
SL2_div_D	9177
mftocoset_iD	9177
mftocoset_i	9198
bhnmat_extend	9212
checkCHI	9233
checkNK2	9240
dihan_bnf	9331
cache_delete	9450
mfcharcxeval	9513
mfZC_width	9975
mfchardiv	10066
mfchardiv_i	10066
nu3	10220
Wcoshall	10304
Wint	10304
Wparams	10304
tag	10346
QabM_indexrank	10486
MF_get_Mindex	10619
RgV_shift	11039
vecj_expand	11039
char2	11172
mf1basis	11284
c_mfeisen	11333
coset_complete	11963
mfconreyminimize	12138
get_DIH	12355
mkmf	12439
f00	12446
mfalchi2	13041
mfcharmulcxeval	13041
mfeisensteingacx	13041
mfgatogap	13041
mfcharinduce	13048
Rg_embed2	13328
init_cachenew	13566
dihan	13573
mfcharno	13699
f00_i	13727
charistotallyeven	13846
bdexpand	14168
RgX_embed1	14203
mfchareval	14238
mkNK	15176
MF_get_space	15358
MF_get_gk	15456
parse_vecj	15491
mfnewinit	15666
get_bnrconreyN	15862
mfnewdim	15911
mfdihedralnewdim	16149
QabV_tracerel	16170
tag3	16184
wt1empty	16632
nu2	17598
dbg_cachenew	17626
hecke_data	18186
append_dihedral	18718
checkMF_i	19187
hash_eisengacx	19236
checkmf_i	19362
mf_get_NK	19425
MF_get_N	19943
MF_get_gN	21147
MF_get_S	21427
mfsturmNk	21910
sigchi	24192
mf_get_field	24472
mfdihedralnew_i	24969
mfhecke_i	25368
CHIvec_CHI	25914
mfcharmuleval	26082
cyc_normalize_zv	26810
mklvchi	26810
Galois	30331
bhn_newtrace	32648
initnewtrace_i	33236
inittrconj	33236
mfcharinit	33243
initnewtrace	33341
mfnewzerodata	33341
mfdihedralcommon	33698
gausssumcx	33985
mfcharcxinit	33985
Qab_trace_init	34048
newtrace_DATA	34293
newtrace_stripped	34293
reset_cachenew	34293
bnrchartwist2conrey	34489
conreydenormalize	34489
cmp_coset	35469
mfbd_i	36456
phipart	36869
tag2	36918
mkgNK	37324
dihan_bnr	37758
QabC_to_Flc	38164
mfcoefs_i	38402
nuinf	39032
mf2dimwt12	41363
di_N	42042
newd_params	42147
induceN	42364
A4	43442
mf2dim_Nkchi	43463
mfcuspdim_i	43519
checkmf2	43729
A21	43911
A22	43911
A3	44359
mfdim_Nndkchi	44744
mysumdivku	48020
is_cond	49364
mybezout	52164
CHIvec_parity	54754
mfrhopol_eval	56616
mf_get_CHI	62489
tagparams	63630
VS	63742
Wint2	63742
mymoebiusu	65709
CHIvec_ord	66311
mfcharparity	68460
Unelson	71932
mf_get_k	72961
WfromZ	74046
cmp_small_priority	74431
sigchi2_Fl	77791
tracerel_i	80255
mfchartoprimitive	81676
RgC_Bd_expand	83601
bhn_parse	83601
Miyake	84028
Rg_embed1	84658
tracerelz	84756
hclassno6u_no_cache	86908
heckenewtrace	90482
Rg_embedall	95154
mfembed	100845
mfdiheval	107611
myeulerphiu	110159
char_normalize_zv	118517
mf_get_N	120631
inittrace	128303
mkbez	128303
mkgcd	128303
mkmup	128303
mksqr	128303
mf_get_gk	140805
colnewtrace	184261
mf_get_gN	185864
Qab_zeta	200753
trconj	232579
mf_get_type	233905
fix_pol	234178
tracerel	253855
get_PSI	299775
mfcharmul_i	301861
induce	311731
Qab_Czeta_Fl	313040
div_restrict	324443
A1	364665
mfcharGL	378490
mfcharconductor	397663
mypsiu	399609
mfrhopol	402687
vchip_lift	416304
mfcharpol	598843
sigchi2	608384
CHIvec_expo	626913
mycharexpo	626913
sigchi2_dec	686175
fg1g2n	855267
gmfcharmodulus	1616874
mfcharmodulus	1616874
newt_params	1903283
vchip_polmod	1954117
Qab_Czeta	2247504
hclassno6u	2551863
znchareval_i	2556092
mfnewchkzero	2628827
mfnewtrace_i	2628827
mfcharevalord	3674594
mfcharorder	3816281
gmfcharorder	3874416
mfrhopol_u_eval	4054279
mfnewtracecache	4582928
corediscs_fact	4847676
TA1	6450498
TA2	6450498
TA3	6450498
TA4	6450498
mfcusptrace_i	6450498
vchip_mod	6497695
mfcusptracecache	7714544
mubeta2	7714544
Qab_to_Fl	8534960
eiscnm	9635178
myh	10652124
lamsig	14363864
mutglistall	15231080
mychareval	27645779
CHIvec_val	27670174
CHIvec_N	28601909
auxsum	33430095
myfactoru	33835572
mydivisorsu	69527256
hclassno6u_i	157401866
mutg1	162226812
mfrhopowsimp	169019315
mycoredisc2neg	177457982
vchip_FC	280525828
myugcd	284283559
mychicgcd	404190216
cache_get	451439195

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