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 v2.16.2 lcov report (development 29115-f22e516b23) Lines: 7539 7750 97.3 % Date: 2024-04-19 08:07:09 Functions: 766 772 99.2 % Legend: Lines: hit not hit

Function Name	Hit count
A1	358519
A21	43638
A22	43638
A3	44086
A4	43204
AX_B	203
CHIvec_CHI	14826
CHIvec_N	23977856
CHIvec_expo	419223
CHIvec_ord	34685
CHIvec_parity	53886
CHIvec_val	23337461
CX_D	203
GL2toSL2	1120
Galois	30247
Haberland	133
Hfind	7
MF_get_CHI	8400
MF_get_E	4368
MF_get_M	6762
MF_get_Mindex	10360
MF_get_Minv	4746
MF_get_N	18928
MF_get_S	20993
MF_get_basis	1841
MF_get_dim	5467
MF_get_fields	581
MF_get_gN	19992
MF_get_gk	14273
MF_get_k	6874
MF_get_newforms	770
MF_get_r	245
MF_get_space	14490
MF_set_new	1330
MF_set_space	406
MFcusp_get_vMjd	665
MFnew_get_vj	7161
Mindex_as_coef	49
Minv_RgC_mul	7259
Minv_RgM_mul	1274
Miyake	84028
NK_eisen2	133
QabC_to_Flc	38164
QabM_Minv	574
QabM_indexrank	10374
QabM_init	1211
QabM_ker	1561
QabM_pseudoinv	1015
QabM_pseudoinv_i	1274
QabM_rank	35
QabM_to_Flm	595
QabM_tracerel	147
QabV_tracerel	16086
QabX_to_Flx	1484
Qab_Czeta	2188543
Qab_Czeta_Fl	220514
Qab_to_Fl	8534960
Qab_trace_init	34006
Qab_tracerel	0
Qab_zeta	200242
RgC_Bd_expand	82411
RgC_embedall	343
RgM_Minv_mul	2436
RgV_approx	119
RgV_div_RgXn	399
RgV_heckef2	98
RgV_mul_RgXn	3339
RgV_normalize	2065
RgV_pows_RgXn	112
RgV_shift	4963
RgV_shimura	105
RgV_to_ser_full	4655
RgXV_embed	98
RgX_act_S	1281
RgX_act_gen	154
RgX_act_typ	2562
RgX_by_parity	14
RgX_embed	1645
RgX_embed1	910
RgX_embed2	532
RgX_embedall	322
RgX_isspherical	28
RgX_valrem_root	70
RgXn_negpow	375
Rg_approx	8092
Rg_embed1	84658
Rg_embed2	13328
Rg_embedall	95000
Rg_embedall_i	4907
SL2_div_D	8785
TA1	6385475
TA2	6385475
TA3	6385475
TA4	6385475
Tp	469
Tpmod	2408
Unelson	71932
VS	63742
Wcoshall	10304
WfromZ	74046
Wint	10304
Wint2	63742
Wparams	10304
ZM_mulS	1190
ZM_mulT	4424
ZM_mulTi	2352
ZX_roots	182
ZabM_pseudoinv_i	1092
_RgXQM_mul	378
abundant	2541
act_GL2	252
act_S	2310
actal	42
anextract	2618
anyembed	28
append_dihedral	18718
atkin_get_NQ	231
auxsum	33164921
badchar	7784
bdexpand	6139
bdexpandall	287
bern_init	1561
bestapprnf2	119
bestapprnfrel	1519
bhn_newtrace	32438
bhn_parse	82411
bhnmat_extend	9002
bhnmat_extend_nocache	6867
bnrchartwist2conrey	34489
c_Bd	7462
c_Ek	840
c_F2TH4	266
c_QF_i	56
c_QFsimple_i	49
c_bracket	42
c_const	140
c_cusptrace	21
c_deflate	8778
c_delta	476
c_deriv	175
c_derivE2	14
c_dihedral	5579
c_div	833
c_div_i	833
c_ell	77
c_etaquo	203
c_hecke	1050
c_linear	2975
c_linear_bhn	2198
c_mfEH	343
c_mfeisen	11256
c_mul	637
c_newtrace	1890
c_pow	112
c_shift	35
c_theta	1911
c_twist	161
cache_delete	9100
cache_get	448444663
cache_report	70
cache_reset	478
cache_set	492
ceilA1	7588
char2	6419
charLFwt1	2590
charLFwt1_Fl	1981
charLFwtk	4256
charLFwtk_Fl	2807
char_normalize_zv	118517
charistotallyeven	13846
charsmodN	616
checkCHI	9177
checkMF	3801
checkMF_i	18564
checkNK	133
checkNK2	9184
checkPv	28
check_M2Z	2877
check_SL2Z	1757
checkbij_i	7
checkemb_i	28
checkfs2_i	189
checkfs_i	721
checkmf2	43729
checkmf_i	18515
checkmfa	56
chicompat	2723
chicompatfix	651
chicompatlift	651
cmp_coset	33775
cmp_ord	371
cmp_small_priority	73332
col2cusp	119
colnewtrace	179130
compatlift	7
condC	1568
conreydenormalize	34489
const_mat	896
constcoredisc	49
constdiv	138
constfact	166
consttabdihedral	14
consttabh	146
corediscs_fact	5192825
coset_complete	11298
cusp2mat	518
cusp_AC	1064
cusp_canon	364
cxredga0N	175
cyc_normalize_zv	26810
dbg_cachenew	17136
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	28
dim_sum	287
discard_Ti	0
div_restrict	322077
divisorsNF	322
eiscnm	7644966
err_cyclo	14
err_space	7
eta3_ZXn	469
evalcusp	350
expandbd	5299
expandbd_Fl	6818
f00	4634
f00_i	5852
fg1g2n	593908
findbestsplit	1316
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	56
fs_get_MF	1288
fs_get_bitprec	574
fs_get_cosets	1974
fs_get_expan	1694
fs_get_pols	1463
fs_get_vE	1134
fs_get_vES	777
fs_set_expan	14
gausssumcx	13608
get_DIH	12355
get_P	217
get_PSI	299775
get_Shimura	21
get_badj	7588
get_bnrconreyN	15862
get_gb	7805
get_mf_F	462
get_mfchar	4032
get_vDIH	2373
get_vP	21
getcache	14
getcols	1750
getcols_i	4263
getcolsgen	399
getcolswt2	245
getembed	889
getnlim2	2289
getw1w2	2289
gmfcharmodulus	1556982
gmfcharno	3983
gmfcharorder	3719233
grootsof1_CHI	742
gsubstvec_i	14
hash_eisengacx	7630
hclassno6_count	55
hclassno6u	2371949
hclassno6u_2	77
hclassno6u_i	156422153
hclassno6u_no_cache	86918
hecke_data	17528
hecke_i	2527
heckef2_data	84
heckenewtrace	88606
improve	5740
induce	307811
induceN	42364
init_cachenew	13125
initnewtrace	32655
initnewtrace_i	32550
inittrace	126791
inittrconj	32550
initwt1newtrace	21
initwt1trace	28
intAoo	861
intAoo0	63
intAoowithvanall	126
inveis_extraprec	70
is_cond	49364
lamCO	3360
lamsig	13905926
lfunfindchi	21
lfunmf	84
lfunquadneg_naive	28
lfuntag	1127
lfunthetaall	154
m1pk	8141
mat2cusp	105
matTp	56
matTpmod	301
matdeflate	385
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	266
mf2dim_Nkchi	43463
mf2dimwt12	41363
mf2dimwt32	693
mf2gaexpansion	343
mf2init	98
mf2init_Nkchi	266
mfDelta	56
mfEH	266
mfEHcoef	77
mfEHmat	266
mfEMPTY	1022
mfEMPTYall	616
mfEk	392
mfTheta	798
mfZC_width	8806
mf_eisendec	987
mf_get_CHI	61817
mf_get_N	118692
mf_get_NK	18753
mf_get_field	24206
mf_get_gN	183792
mf_get_gk	138810
mf_get_k	71617
mf_get_r	441
mf_get_type	231392
mf_normalize	1470
mf_same_CHI	1092
mf_same_k	1134
mf_setfield	518
mfak_i	455
mfalchi2	5229
mfatkin	56
mfatkineigenquad	56
mfatkineigenvalues	49
mfatkininit	91
mfatkininit_i	210
mfatkinmatnewquad	105
mfbasis	350
mfbd	252
mfbd_E2	721
mfbd_i	35791
mfbdall	7343
mfbracket	28
mfcanfindp0	14
mfcharAL	105
mfcharGL	373667
mfcharchiliftprim	35
mfcharconductor	397222
mfcharconj	56
mfcharcxeval	9065
mfcharcxinit	13608
mfchardiv	5313
mfchardiv_i	5313
mfchareval	14203
mfcharevalord	3561152
mfchargalois	4872
mfcharinduce	13048
mfcharinit	32557
mfcharinv_i	595
mfcharistrivial	2632
mfcharmodulus	1556982
mfcharmul	1106
mfcharmul_i	301861
mfcharmulcxeval	5229
mfcharmuleval	10458
mfcharno	13664
mfcharorder	3681552
mfcharparity	68355
mfcharpol	562709
mfcharpow	147
mfchars	3255
mfchartoprimitive	75922
mfchartrivial	5768
mfcheapeisen	147
mfchiadjust	2821
mfchiembed	7
mfchilift	980
mfchisimpl	1596
mfclean	4970
mfclean2	840
mfcleanCHI	4018
mfcoef	301
mfcoefs	3850
mfcoefs_i	37821
mfcoefs_mf	2576
mfcoefsser	665
mfconductor	175
mfconreyminimize	12138
mfcosets	147
mfcuspcanon_width	945
mfcuspdim	3374
mfcuspdim_i	43281
mfcuspisregular	315
mfcusps	28
mfcusps_i	49
mfcusptrace_i	6385475
mfcusptracecache	7645125
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	1393
mfdim_Nndkchi	44744
mfdiv	49
mfdiv_val	2163
mfeigenbasis	336
mfeigenembed	154
mfeigensearch	35
mfeisenstein	371
mfeisenstein2_0	7770
mfeisenstein2_0_Fl	4263
mfeisenstein2all	2604
mfeisenstein2pure	5040
mfeisenstein2pure_Fl	4263
mfeisenstein_i	371
mfeisensteinbasis	1414
mfeisensteinbasis_i	1386
mfeisensteindec	987
mfeisensteindim	231
mfeisensteingacx	5229
mfeisensteinspaceinit	574
mfeisensteinspaceinit_i	616
mfembed	100663
mfembed0	49
mfeval	161
mfeval_i	161
mffields	35
mffindeisen1	35
mffindrootof1	6741
mffrickeeigen	77
mffrickeeigen_i	98
mffromell	28
mffrometaquo	210
mffromlfun	21
mffromqf	77
mffulldim	833
mffvanish	7
mfgaexpansion	1750
mfgaexpansion_i	1050
mfgaexpansionall	140
mfgaexpansionatkin	70
mfgaloisprojrep	77
mfgaloistype	231
mfgaloistype0	224
mfgaloistype_i	182
mfgatogap	5229
mfgetembed	581
mfgetvan	161
mfhecke	105
mfhecke_i	24591
mfheckemat	77
mfheckemat_mfcoefs	350
mfheckemat_mfcoefs_p	35
mfheckemat_mfcoefs_p2	7
mfheckemat_p	343
mfinit	2380
mfinit_Nkchi	4977
mfinit_Nndkchi	2681
mfinit_i	3346
mfinitcusp	3192
mfinittonew	42
mfisCM	14
mfiscuspidal	224
mfisdihedral	224
mfisequal	196
mfisetaquo	49
mfisetaquo_i	49
mfisinkohnen	28
mfisinspace_i	238
mfisnotA5	105
mfisnotS4	105
mfistrivial	1316
mfkdims	2961
mfkdimsum	252
mfkohnenbasis	21
mfkohnenbasis_i	21
mfkohnenbijection	14
mfkohnenbijection_i	14
mfkohneneigenbasis	7
mflfuncreate	161
mflfuncreateall	133
mflinear	1036
mflinear_bhn	686
mflinear_i	476
mflinear_linear	2016
mflinear_strip	1806
mflineardiv_linear	2016
mflineardivtomat	630
mfmanin	42
mfmatembed	70
mfmatsermul	686
mfmatsermul_Fl	1141
mfmul	455
mfmultheta	448
mfnewchkzero	2594331
mfnewdim	15806
mfnewinit	15561
mfnewmathecke_p	889
mfnewtrace_i	2594331
mfnewtracecache	4495680
mfnewzerodata	32655
mfolddim	224
mfolddim_i	8344
mfparams	700
mfperiod_prelim	266
mfperiod_prelim_double	1085
mfperiodpol	35
mfperiodpolbasis	49
mfperiodpols_i	147
mfpetersson	119
mfpetersson2	21
mfpetersson_i	133
mfpeterssonnoncusp	7
mfpow	77
mfqk	2254
mfrhopol	361541
mfrhopol_eval	56620
mfrhopol_u_eval	3251068
mfrhopowsimp	168009103
mfs_checkmf	42
mfs_iscusp	35
mfsamefield	3906
mfsearch	28
mfshift	42
mfshimura	49
mfshimura_space_cusp	42
mfskcx	3150
mfslashexpansion	1064
mfspace	287
mfspace_i	287
mfspclean	1064
mfsplit	98
mfstabiter	28
mfstabitermod	252
mfsturm	798
mfsturmNgk	3248
mfsturmNk	21665
mfsturm_mf	4522
mfsturmmf	427
mfsymbol	154
mfsymbol_i	147
mfsymboleval	182
mfsymboleval_direct	98
mfsymbolevalpartial	63
mftaylor	14
mfthetaI	56
mfthetaancreate	924
mfthetaexpansion	343
mfthetamultiplier	343
mftobasis	994
mftobasisES	511
mftobasis_i	1372
mftocol	9065
mftocoset	7
mftocoset_i	8799
mftocoset_iD	8785
mftonew	210
mftonew_i	448
mftraceform	98
mftraceform_cusp	14
mftraceform_i	98
mftraceform_new	945
mftreatdihedral	784
mftrivial	84
mftwist	21
mfunram	119
mfval	49
mfvec_first_cusp	623
mfvecembed	1694
mfvectomat	2093
mintau	147
mkF2bd	1519
mkM	574
mkMinv	7672
mkNK	14994
mkS	21
mkbez	126791
mkeisen	5635
mkgNK	36932
mkgcd	126791
mklvchi	26810
mkmf	12285
mkmup	126791
mksqr	126791
moreorders	392
mubeta	6993
mubeta2	7645125
mutg1	161226169
mutglistall	15192160
mybezout	20916
mychareval	23327808
mycharexpo	419223
mychicgcd	402266903
mycore	70
mycoredisc2neg	176418420
mycoredisc2pos	14
mydivisorsu	68966612
myeulerphiu	109200
myfactoru	33625276
myh	10627729
myimag_i	182
mymoebiusu	65688
mynffactor	1491
mynumdivu	2968
mypsiu	393029
myradicalu	119
mysqrtu	56
mysumdivku	38311
myugcd	283117583
myusqrt	84
newd_params	41363
newd_params2	21
newt_params	1872945
newtrace_DATA	33572
newtrace_stripped	33572
nf2_get_conj	5768
nf_primpart	329
nfcontent	210
non_residues	2702
normal	98
normalizeapprox	2590
not_in_space	77
nu2	17521
nu3	10157
nuinf	38864
ok_bhn_linear	3976
paramconst	126
pari_close_mf	1820
parse_vecj	9086
pathmattovec	7
phipart	36862
pindices	1834
pol_red	427
polabstorel	518
polishomogeneous	140
reset_cachenew	33572
rootspowers	217
same_cyc	616
search_A5	0
search_abelian	182
search_from_split	889
search_levels	63
search_solvable	77
seenD	413
sertocol	2387
sertocol2	70
sertovecslice	833
shift_M	1050
sigchi	24192
sigchi2	593096
sigchi2_Fl	54992
sigchi2_dec	648088
simple_pole	49
sort_by_dim	1064
space_is_cusp	5971
split	224
split_i	1141
split_ii	1463
split_starting_space	1064
sqrtm1modN	595
sqrtm3modN	539
symbol_same_mf	28
symbol_type	147
tag	10199
tag0	56
tag2	36113
tag3	16072
tag4	0
taglinear	2765
taglinear_i	6727
tagparams	62566
toRgX0	2562
tobasis	994
tp2apply	70
tp2eapply	70
tracerel	253827
tracerel_i	80248
tracerel_z	6937
tracerelz	84735
trconj	203970
u_pporad	28
unact	14
unpack0	1043
unpack2	42
unpack23	308
update_Mj	1162
update_factor_cache	2169
val	189
valNC2	168
van_embedall	329
vanembed	420
vchip_FC	279391751
vchip_lift	410711
vchip_mod	6437432
vchip_polmod	1911620
vecGalois	1001
vecact_GL2	7
vecembed1	798
vecembed2	42
vecj_expand	4963
vecmfNK	3227
vecmflinear	1211
vecmflineardiv0	427
vecmflineardiv_linear	476
vecpermute_inplace	1330
vecpermute_partial	1351
vecpush	1204
wt1empty	16632
wt1mulcond	0
wt1newlevel	7
zero_at_cusp	161
zeta2CO	3696
znchareval_i	2507092
zncharsG	1169
znstar_get_expo	1232

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