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 v2.18.0 lcov report (development 29712-7c8a932571) Lines: 7543 7749 97.3 % Date: 2024-11-15 09:08:45 Functions: 766 772 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
checkbij_i	7
compatlift	7
err_space	7
merge_dims	7
mfchiembed	7
mffvanish	7
mfheckemat_mfcoefs_p2	7
mfkohneneigenbasis	7
mfpeterssonnoncusp	7
mftocoset	7
pathmattovec	7
vecact_GL2	7
wt1newlevel	7
RgX_by_parity	14
c_derivE2	14
consttabdihedral	14
err_cyclo	14
findq	14
fs_set_expan	14
getcache	14
gsubstvec_i	14
mfcanfindp0	14
mfdihedral	14
mfdihedralall	14
mfisCM	14
mfkohnenbijection	14
mfkohnenbijection_i	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
mftwist	21
mkS	21
newd_params2	21
RgX_isspherical	28
anyembed	28
checkPv	28
checkemb_i	28
dim_filter	28
initwt1trace	28
lfunquadneg_naive	28
mf1olddimall	28
mfbracket	28
mfcusps	28
mffromell	28
mfisinkohnen	28
mfsearch	28
mfstabiter	28
symbol_same_mf	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
actal	42
c_bracket	42
foo_stable	42
mf1	42
mfinittonew	42
mfmanin	42
mfs_checkmf	42
mfshift	42
mfshimura_space_cusp	42
unpack2	42
vecembed2	42
Mindex_as_coef	49
c_QFsimple_i	49
deg1ser_shallow	49
findqganew	49
mfatkineigenvalues	49
mfcusps_i	49
mfdiv	49
mfembed0	49
mfisetaquo	49
mfisetaquo_i	49
mfperiodpolbasis	49
mfshimura	49
mfval	49
simple_pole	49
constcoredisc	50
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
fs_get_EF	56
hclassno6_count	56
matTp	56
mf1newdimall	56
mfDelta	56
mfatkin	56
mfatkineigenquad	56
mfcharconj	56
mfthetaI	56
mysqrtu	56
tag0	56
intAoo0	63
mfsymbolevalpartial	63
search_levels	63
RgX_valrem_root	70
cache_report	70
inveis_extraprec	70
mfgaexpansionatkin	70
mfmatembed	70
mycore	70
sertocol2	70
tp2apply	70
tp2eapply	70
c_ell	77
mfEHcoef	77
mffrickeeigen	77
mffromqf	77
mfgaloisprojrep	77
mfheckemat	77
mfpow	77
not_in_space	77
search_solvable	77
hclassno6u_2	83
heckef2_data	84
lfunmf	84
mftrivial	84
myusqrt	84
findqga	91
mfatkininit	91
RgV_heckef2	98
RgXV_embed	98
desc_linear	98
mf2init	98
mffrickeeigen_i	98
mfsplit	98
mfsymboleval_direct	98
mftraceform	98
mftraceform_i	98
normal	98
RgV_shimura	105
mat2cusp	105
mf1dims	105
mfatkinmatnewquad	105
mfcharAL	105
mfhecke	105
mfisnotA5	105
mfisnotS4	105
RgV_pows_RgXn	112
c_pow	112
col2cusp	119
mfpetersson	119
mfunram	119
myradicalu	119
RgV_approx	126
bestapprnf2	126
intAoowithvanall	126
paramconst	126
Haberland	133
NK_eisen2	133
checkNK	133
mflfuncreateall	133
mfpetersson_i	133
c_const	140
mfgaexpansionall	140
polishomogeneous	140
constdiv	145
QabM_tracerel	147
mfcharpow	147
mfcheapeisen	147
mfcosets	147
mfperiodpols_i	147
mfsymbol_i	147
mintau	147
symbol_type	147
RgX_act_gen	154
consttabh	154
lfunthetaall	154
mfeigenembed	154
mfsymbol	154
c_twist	161
mfcuspwidth	161
mfeval	161
mfeval_i	161
mfgetvan	161
mflfuncreate	161
zero_at_cusp	161
valNC2	168
constfact	173
c_deriv	175
cxredga0N	175
mfconductor	175
ZX_roots	182
mfderiv	182
mfgaloistype_i	182
mfsymboleval	182
myimag_i	182
search_abelian	182
checkfs2_i	189
val	189
mfisequal	196
AX_B	203
CX_D	203
c_etaquo	203
mfcuspval	203
mfatkininit_i	210
mffrometaquo	210
mftonew	210
nfcontent	210
findd	217
get_P	217
rootspowers	217
mf1intermat	224
mfgaloistype0	224
mfiscuspidal	224
mfisdihedral	224
mfolddim	224
split	224
atkin_get_NQ	231
mfeisensteindim	231
mfgaloistype	231
mfisinspace_i	238
MF_get_r	245
getcolswt2	245
act_GL2	252
mf1_cusptonew	252
mfbd	252
mfkdimsum	252
mfstabitermod	252
c_F2TH4	266
mf2basis	266
mf2init_Nkchi	266
mfEH	266
mfEHmat	266
mfperiod_prelim	266
bdexpandall	287
dim_sum	287
mfspace	287
mfspace_i	287
matTpmod	301
mfcoef	301
unpack23	308
mfcuspisregular	315
RgX_embedall	322
divisorsNF	322
nf_primpart	329
van_embedall	329
mfeigenbasis	336
RgC_embedall	343
c_mfEH	343
mf2gaexpansion	343
mfheckemat_p	343
mfthetaexpansion	343
mfthetamultiplier	343
evalcusp	350
mfheckemat_mfcoefs	350
mfbasis	357
cusp_canon	364
cmp_ord	371
mfeisenstein	371
mfeisenstein_i	371
RgXn_negpow	375
_RgXQM_mul	378
matdeflate	385
mfEk	392
moreorders	392
RgV_div_RgXn	399
getcolsgen	406
MF_set_space	413
seenD	413
vanembed	420
mfsturmmf	427
pol_red	427
vecmflineardiv0	427
mf_get_r	441
mfmultheta	448
mftonew_i	448
mfak_i	455
mfmul	455
get_mf_F	462
Tp	469
eta3_ZXn	469
mf1olddimsum	469
c_delta	476
mf1cuspdim	476
mflinear_i	476
vecmflineardiv_linear	476
cache_reset	501
desc_mfeisen	504
mftobasisES	511
cache_set	515
cusp2mat	518
mf_setfield	518
polabstorel	518
RgX_embed2	532
sqrtm3modN	539
fs_get_bitprec	574
MF_get_fields	581
QabM_Minv	581
mfeisensteinspaceinit	581
mfgetembed	581
mkM	581
QabM_to_Flm	595
mf1dimmod	595
mfcharinv_i	595
sqrtm1modN	595
mfEMPTYall	616
same_cyc	616
charsmodN	623
desc	623
mfeisensteinspaceinit_i	623
mfvec_first_cusp	623
mflineardivtomat	630
c_mul	637
chicompatfix	651
chicompatlift	651
mfcoefsser	665
MFcusp_get_vMjd	672
mflinear_bhn	686
mfmatsermul	686
mf2dimwt32	693
mfparams	700
checkfs_i	721
mfbd_E2	721
grootsof1_CHI	742
MF_get_newforms	770
fs_get_vES	777
mftreatdihedral	784
mfTheta	798
mfsturm	798
vecembed1	798
c_div	833
c_div_i	833
sertovecslice	833
c_Ek	840
mfclean2	840
mffulldim	840
intAoo	861
getembed	889
mfnewmathecke_p	889
search_from_split	889
const_mat	896
RgX_embed1	910
mfthetaancreate	924
mfcuspcanon_width	945
mftraceform_new	945
mfdescribe	966
mfchilift	980
mf_eisendec	994
mfeisensteindec	994
mftobasis	994
tobasis	994
QabM_pseudoinv	1015
mfEMPTY	1022
vecGalois	1022
mflinear	1036
unpack0	1043
c_hecke	1050
mf1newdimsum	1050
mfgaexpansion_i	1057
shift_M	1057
cusp_AC	1064
mfspclean	1064
sort_by_dim	1064
split_starting_space	1064
mfslashexpansion	1071
mfperiod_prelim_double	1085
ZabM_pseudoinv_i	1092
mf_same_CHI	1092
mfcharmul	1106
GL2toSL2	1127
lfuntag	1127
fs_get_vE	1134
mf_same_k	1134
mfmatsermul_Fl	1141
split_i	1141
update_Mj	1169
zncharsG	1169
ZM_mulS	1190
vecpush	1204
vecmflinear	1211
QabM_init	1218
znstar_get_expo	1246
Minv_RgM_mul	1274
QabM_pseudoinv_i	1274
RgX_act_S	1281
fs_get_MF	1288
findbestsplit	1316
mfistrivial	1316
vecpermute_inplace	1330
MF_set_new	1337
vecpermute_partial	1351
mftobasis_i	1372
mfeisensteinbasis_i	1386
mfdim_Nkchi	1393
mfeisensteinbasis	1414
fs_get_pols	1463
split_ii	1463
mf_normalize	1470
QabX_to_Flx	1484
mynffactor	1491
bestapprnfrel	1519
mkF2bd	1519
desc_i	1540
QabM_ker	1561
condC	1568
bern_init	1589
mfchisimpl	1596
RgX_embed	1645
fs_get_expan	1694
mfvecembed	1694
mf1chars	1729
mfgaexpansion	1757
check_SL2Z	1764
getcols	1764
mflinear_strip	1806
mf1_pre	1834
pindices	1834
MF_get_basis	1841
pari_close_mf	1848
c_newtrace	1897
c_theta	1911
fs_get_cosets	1974
charLFwt1_Fl	1988
mflinear_linear	2016
mflineardiv_linear	2016
RgV_normalize	2065
mfvectomat	2093
mf1dimsum	2114
mfdiv_val	2163
c_linear_bhn	2198
update_factor_cache	2205
mfqk	2282
getnlim2	2289
getw1w2	2289
act_S	2310
ZM_mulTi	2352
get_vDIH	2373
mfinit	2387
sertocol	2387
Tpmod	2408
RgM_Minv_mul	2436
hecke_i	2527
abundant	2548
RgX_act_typ	2562
toRgX0	2562
mfcoefs_mf	2576
normalizeapprox	2590
charLFwt1	2604
mfeisenstein2all	2604
anextract	2618
mfcharistrivial	2653
mfinit_Nndkchi	2688
non_residues	2702
chicompat	2723
taglinear	2765
mfchiadjust	2821
charLFwtk_Fl	2828
check_M2Z	2891
mfkdims	2961
c_linear	2975
mynumdivu	2975
mfdim0all	3010
mfskcx	3178
mfinitcusp	3199
vecmfNK	3227
mfsturmNgk	3248
mfchars	3255
RgV_mul_RgXn	3353
mfinit_i	3353
lamCO	3360
mfcuspdim	3381
dim22	3696
zeta2CO	3696
checkMF	3808
mfcoefs	3857
mfdihedralcusp	3857
mfsamefield	3906
mf1init	3969
ok_bhn_linear	3976
fmt_dim	3983
gmfcharno	3983
mfcleanCHI	4025
get_mfchar	4039
mf1cuspdimsum	4123
mf1cuspdimall	4144
charLFwtk	4284
getcols_i	4312
mfeisenstein2_0_Fl	4312
mfeisenstein2pure_Fl	4312
MF_get_E	4368
ZM_mulT	4424
mfsturm_mf	4522
RgV_to_ser_full	4655
f00	4669
MF_get_Minv	4746
mfchargalois	4872
Rg_embedall_i	4907
mfclean	4977
mfinit_Nkchi	4984
RgV_shift	4991
vecj_expand	4991
mfeisenstein2pure	5096
mfalchi2	5264
mfcharmulcxeval	5264
mfeisensteingacx	5264
mfgatogap	5264
mfchardiv	5341
mfchardiv_i	5341
expandbd	5355
MF_get_dim	5467
c_dihedral	5579
mkeisen	5691
mfdim	5719
improve	5740
mfchartrivial	5768
nf2_get_conj	5768
f00_i	5894
space_is_cusp	5978
bdexpand	6174
char2	6447
taglinear_i	6727
mffindrootof1	6741
MF_get_M	6762
bhnmat_extend_nocache	6867
MF_get_k	6881
expandbd_Fl	6895
tracerel_z	6944
mubeta	6993
mfdihedralcuspdim	7105
MFnew_get_vj	7168
Minv_RgC_mul	7266
mf1cuspdim_i	7315
mfbdall	7343
c_Bd	7462
ceilA1	7595
get_badj	7595
hash_eisengacx	7672
mkMinv	7686
badchar	7791
get_gb	7805
mfeisenstein2_0	7826
Rg_approx	8120
m1pk	8148
mfolddim_i	8351
MF_get_CHI	8421
c_deflate	8778
SL2_div_D	8785
mftocoset_iD	8785
mftocoset_i	8799
mfZC_width	8813
mfdihedralnew	8820
bhnmat_extend	9009
mfcharcxeval	9065
mftocol	9065
parse_vecj	9156
checkCHI	9184
checkNK2	9191
cache_delete	9240
dihan_bnf	9331
nu3	10157
tag	10206
Wcoshall	10304
Wint	10304
Wparams	10304
MF_get_Mindex	10360
QabM_indexrank	10381
mfcharmuleval	10528
c_mfeisen	11256
mf1basis	11284
coset_complete	11298
mfconreyminimize	12138
mkmf	12299
get_DIH	12355
mfcharinduce	13048
init_cachenew	13139
Rg_embed2	13328
dihan	13573
mfcharno	13671
gausssumcx	13706
mfcharcxinit	13706
charistotallyeven	13846
mfchareval	14203
MF_get_gk	14294
MF_get_space	14504
CHIvec_CHI	14980
mkNK	15001
mfnewinit	15575
mfnewdim	15820
get_bnrconreyN	15862
tag3	16072
QabV_tracerel	16093
mfdihedralnewdim	16149
wt1empty	16632
dbg_cachenew	17150
nu2	17521
hecke_data	17535
checkmf_i	18536
checkMF_i	18585
append_dihedral	18718
mf_get_NK	18760
MF_get_N	18970
MF_get_gN	20034
MF_get_S	21007
mybezout	21056
mfsturmNk	21693
sigchi	24192
mf_get_field	24206
mfhecke_i	24605
mfdihedralnew_i	24969
cyc_normalize_zv	26810
mklvchi	26810
Galois	30331
bhn_newtrace	32438
initnewtrace_i	32571
inittrconj	32571
mfcharinit	32578
initnewtrace	32676
mfnewzerodata	32676
newtrace_DATA	33593
newtrace_stripped	33593
reset_cachenew	33593
mfdihedralcommon	33698
cmp_coset	33775
Qab_trace_init	34013
bnrchartwist2conrey	34489
conreydenormalize	34489
CHIvec_ord	34853
mfbd_i	35805
tag2	36120
phipart	36869
mkgNK	36939
dihan_bnr	37758
mfcoefs_i	37828
QabC_to_Flc	38164
mysumdivku	38311
nuinf	38864
mf2dimwt12	41363
newd_params	41391
di_N	42042
induceN	42364
A4	43232
mfcuspdim_i	43309
mf2dim_Nkchi	43463
A21	43673
A22	43673
checkmf2	43729
A3	44121
mfdim_Nndkchi	44744
is_cond	49364
CHIvec_parity	53907
sigchi2_Fl	55335
mfrhopol_eval	56617
mf_get_CHI	61824
tagparams	62580
VS	63742
Wint2	63742
mymoebiusu	65709
mfcharparity	68362
mf_get_k	71638
Unelson	71932
cmp_small_priority	73381
WfromZ	74046
mfchartoprimitive	75999
tracerel_i	80255
RgC_Bd_expand	82425
bhn_parse	82425
Miyake	84028
Rg_embed1	84658
tracerelz	84756
hclassno6u_no_cache	86915
heckenewtrace	88634
Rg_embedall	95000
mfembed	100663
mfdiheval	107611
myeulerphiu	109368
char_normalize_zv	118517
mf_get_N	118720
inittrace	126833
mkbez	126833
mkgcd	126833
mkmup	126833
mksqr	126833
mf_get_gk	138838
colnewtrace	179165
mf_get_gN	183820
Qab_zeta	200242
trconj	204061
Qab_Czeta_Fl	221067
mf_get_type	231413
fix_pol	234178
tracerel	253855
get_PSI	299775
mfcharmul_i	301861
induce	307846
div_restrict	322077
A1	358582
mfrhopol	361541
mfcharGL	373702
mypsiu	393127
mfcharconductor	397278
vchip_lift	410711
CHIvec_expo	420490
mycharexpo	420490
mfcharpol	563248
sigchi2	593488
fg1g2n	594013
sigchi2_dec	648823
gmfcharmodulus	1558137
mfcharmodulus	1558137
newt_params	1873036
vchip_polmod	1911711
Qab_Czeta	2189222
hclassno6u	2427669
znchareval_i	2507827
mfnewchkzero	2594443
mfnewtrace_i	2594443
mfrhopol_u_eval	3251065
mfcharevalord	3562440
mfcharorder	3683022
gmfcharorder	3720801
mfnewtracecache	4495904
corediscs_fact	5321726
TA1	6385657
TA2	6385657
TA3	6385657
TA4	6385657
mfcusptrace_i	6385657
vchip_mod	6437523
mfcusptracecache	7645307
mubeta2	7645307
eiscnm	7645316
Qab_to_Fl	8534960
myh	10627729
lamsig	14148611
mutglistall	15192258
mychareval	23328522
CHIvec_val	23338273
CHIvec_N	23980950
auxsum	33165215
myfactoru	33626590
mydivisorsu	68967613
hclassno6u_i	156422363
mutg1	161226393
mfrhopowsimp	168009327
mycoredisc2neg	176418748
vchip_FC	279392507
myugcd	283118101
mychicgcd	402268100
cache_get	448503249

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