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 v2.16.1 lcov report (development 28676-df828f1c94) Lines: 7532 7742 97.3 % Date: 2023-08-26 07:54:43 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
mfisequal	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
mftonew	35
hclassno6_count	38
actal	42
c_bracket	42
foo_stable	42
mf1	42
mfbd	42
mfinittonew	42
mfmanin	42
mfs_checkmf	42
mfshift	42
mfshimura_space_cusp	42
unpack2	42
vecembed2	42
constcoredisc	46
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
mfsturmmf	49
mfval	49
simple_pole	49
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
hclassno6u_2	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
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
RgV_approx	119
bestapprnf2	119
col2cusp	119
mfpetersson	119
mfunram	119
myradicalu	119
intAoowithvanall	126
paramconst	126
Haberland	133
NK_eisen2	133
checkNK	133
mflfuncreateall	133
mfpetersson_i	133
c_const	140
mfgaexpansionall	140
polishomogeneous	140
QabM_tracerel	147
c_deriv	147
mfcharpow	147
mfcheapeisen	147
mfcosets	147
mfperiodpols_i	147
mfsymbol_i	147
mintau	147
symbol_type	147
RgX_act_gen	154
lfunthetaall	154
mfderiv	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
cxredga0N	175
mfconductor	175
ZX_roots	182
mfgaloistype_i	182
mfsymboleval	182
myimag_i	182
search_abelian	182
constdiv	185
checkfs2_i	189
val	189
consttabh	191
AX_B	203
CX_D	203
c_etaquo	203
mfcuspval	203
mfatkininit_i	210
mffrometaquo	210
nfcontent	210
constfact	213
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
c_F2TH4	238
mfEH	238
mfEHmat	238
mfisinspace_i	238
MF_get_r	245
getcolswt2	245
act_GL2	252
mf1_cusptonew	252
mfkdimsum	252
mfstabitermod	252
mf2basis	266
mf2init_Nkchi	266
mfperiod_prelim	266
mftonew_i	273
bdexpandall	287
dim_sum	287
mfspace	287
mfspace_i	287
matTpmod	301
mfcoef	301
mflinear_i	301
unpack23	308
c_mfEH	315
mfbasis	315
mfcuspisregular	315
RgX_embedall	322
divisorsNF	322
nf_primpart	329
van_embedall	329
mfeigenbasis	336
mftobasisES	336
RgC_embedall	343
mf2gaexpansion	343
mfheckemat_p	343
mfthetaexpansion	343
mfthetamultiplier	343
evalcusp	350
mfheckemat_mfcoefs	350
cusp_canon	364
mfEk	364
cmp_ord	371
mfeisenstein	371
mfeisenstein_i	371
RgXn_negpow	375
_RgXQM_mul	378
matdeflate	385
moreorders	392
RgV_div_RgXn	399
getcolsgen	399
MF_set_space	406
mf_get_r	413
seenD	413
vanembed	420
pol_red	427
vecmflineardiv0	427
mfmultheta	448
mfak_i	455
mfmul	455
get_mf_F	462
Tp	469
eta3_ZXn	469
mf1olddimsum	469
c_delta	476
mf1cuspdim	476
vecmflineardiv_linear	476
MFcusp_get_vMjd	490
desc_mfeisen	504
mflinear_bhn	511
cusp2mat	518
mf_setfield	518
polabstorel	518
RgX_embed2	532
sqrtm3modN	539
const_mat	546
QabM_Minv	574
fs_get_bitprec	574
mfeisensteinspaceinit	574
mkM	574
MF_get_fields	581
mfgetembed	581
QabM_to_Flm	595
mf1dimmod	595
mfcharinv_i	595
sqrtm1modN	595
cache_reset	614
charsmodN	616
mfEMPTYall	616
mfeisensteinspaceinit_i	616
same_cyc	616
desc	623
mfsturm	623
mfvec_first_cusp	623
cache_set	628
mflineardivtomat	630
tobasis	630
c_mul	637
chicompatfix	651
chicompatlift	651
mfcoefsser	665
mflinear	672
mfmatsermul	686
mf2dimwt32	693
mfparams	700
checkfs_i	721
mfbd_E2	721
grootsof1_CHI	742
MF_get_newforms	770
mfTheta	770
fs_get_vES	777
mftreatdihedral	784
vecembed1	798
c_Ek	812
mftobasis	819
c_div	833
c_div_i	833
mffulldim	833
sertovecslice	833
mfclean2	840
intAoo	861
getembed	889
mfnewmathecke_p	889
search_from_split	889
RgX_embed1	910
mf_same_CHI	917
mfthetaancreate	924
mfcuspcanon_width	945
mftraceform_new	945
mf_same_k	959
mfdescribe	966
mfchilift	980
mf_eisendec	987
mfeisensteindec	987
c_hecke	994
vecGalois	1001
QabM_pseudoinv	1015
mfEMPTY	1022
unpack0	1043
mf1newdimsum	1050
mfgaexpansion_i	1050
shift_M	1050
cusp_AC	1064
mfslashexpansion	1064
mfspclean	1064
sort_by_dim	1064
split_starting_space	1064
mfperiod_prelim_double	1085
ZabM_pseudoinv_i	1092
mfcharmul	1106
GL2toSL2	1120
lfuntag	1127
fs_get_vE	1134
mfistrivial	1141
mfmatsermul_Fl	1141
split_i	1141
update_Mj	1162
zncharsG	1169
vecpermute_partial	1176
ZM_mulS	1190
mftobasis_i	1197
vecpush	1204
QabM_init	1211
vecmflinear	1211
znstar_get_expo	1232
mflinear_strip	1267
Minv_RgM_mul	1274
QabM_pseudoinv_i	1274
RgX_act_S	1281
fs_get_MF	1288
findbestsplit	1316
MF_set_new	1330
vecpermute_inplace	1330
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
bern_init	1561
condC	1568
c_newtrace	1582
mfchisimpl	1596
RgX_embed	1645
MF_get_basis	1659
fs_get_expan	1694
mfvecembed	1694
mf1chars	1729
getcols	1750
mfgaexpansion	1750
check_SL2Z	1757
pari_close_mf	1799
c_linear_bhn	1806
mf1_pre	1834
pindices	1834
c_theta	1855
fs_get_cosets	1974
charLFwt1_Fl	1981
mflinear_linear	2016
mflineardiv_linear	2016
RgV_normalize	2065
mfvectomat	2093
mf1dimsum	2114
mfdiv_val	2163
mfqk	2254
getnlim2	2289
getw1w2	2289
act_S	2310
mfinit	2345
ZM_mulTi	2352
get_vDIH	2373
sertocol	2387
Tpmod	2408
RgM_Minv_mul	2436
hecke_i	2471
mfsturmNgk	2492
abundant	2506
RgX_act_typ	2562
toRgX0	2562
mfcoefs_mf	2576
taglinear	2576
charLFwt1	2590
normalizeapprox	2590
mfeisenstein2all	2604
anextract	2618
mfcharistrivial	2632
mfinit_Nndkchi	2646
non_residues	2702
chicompat	2723
charLFwtk_Fl	2807
mfchiadjust	2821
check_M2Z	2877
mynumdivu	2933
update_factor_cache	2940
c_linear	2961
mfkdims	2961
mfdim0all	3010
mfskcx	3150
mfinitcusp	3157
vecmfNK	3227
mfchars	3255
mfinit_i	3311
RgV_mul_RgXn	3339
mfcuspdim	3339
lamCO	3360
checkMF	3451
dim22	3696
zeta2CO	3696
ok_bhn_linear	3787
mfcoefs	3794
mfdihedralcusp	3857
mfsamefield	3878
mf1init	3969
fmt_dim	3983
gmfcharno	3983
mfcleanCHI	3983
get_mfchar	4032
mf1cuspdimsum	4123
mf1cuspdimall	4144
MF_get_E	4193
charLFwtk	4256
getcols_i	4263
mfeisenstein2_0_Fl	4263
mfeisenstein2pure_Fl	4263
mfsturm_mf	4347
ZM_mulT	4424
MF_get_Minv	4571
f00	4634
RgV_to_ser_full	4655
mfchargalois	4872
Rg_embedall_i	4907
mfclean	4935
mfinit_Nkchi	4935
RgV_shift	4963
vecj_expand	4963
mfeisenstein2pure	5040
mfalchi2	5229
mfcharmulcxeval	5229
mfeisensteingacx	5229
mfgatogap	5229
MF_get_dim	5292
expandbd	5299
mfchardiv	5313
mfchardiv_i	5313
c_dihedral	5579
mfchartrivial	5614
mkeisen	5635
mfdim	5719
improve	5740
space_is_cusp	5754
nf2_get_conj	5768
f00_i	5852
bdexpand	6083
taglinear_i	6363
char2	6419
bhnmat_extend_nocache	6475
MF_get_k	6699
mffindrootof1	6741
MF_get_M	6762
expandbd_Fl	6818
mubeta	6916
tracerel_z	6937
MFnew_get_vj	7084
Minv_RgC_mul	7084
mfdihedralcuspdim	7105
c_Bd	7196
mf1cuspdim_i	7315
mfbdall	7343
ceilA1	7490
get_badj	7490
hash_eisengacx	7630
mkMinv	7637
badchar	7742
mfeisenstein2_0	7770
get_gb	7805
MF_get_CHI	7875
Rg_approx	8092
m1pk	8099
mfolddim_i	8246
bhnmat_extend	8575
c_deflate	8778
SL2_div_D	8785
mftocoset_iD	8785
mftocoset_i	8799
mfZC_width	8806
mfdihedralnew	8820
cache_delete	8995
mfcharcxeval	9065
mftocol	9065
parse_vecj	9086
checkCHI	9135
checkNK2	9142
dihan_bnf	9331
MF_get_Mindex	10010
tag	10017
nu3	10108
QabM_indexrank	10290
Wcoshall	10304
Wint	10304
Wparams	10304
mfcharmuleval	10458
c_mfeisen	11228
mf1basis	11284
coset_complete	11298
mfconreyminimize	12138
mkmf	12166
init_cachenew	12341
get_DIH	12355
mfcharinduce	13048
Rg_embed2	13328
MF_get_gk	13398
dihan	13573
gausssumcx	13608
mfcharcxinit	13608
mfcharno	13664
MF_get_space	13790
charistotallyeven	13846
mfchareval	13979
CHIvec_CHI	14826
mkNK	14868
mfnewinit	15337
mfnewdim	15582
tag3	15708
get_bnrconreyN	15862
QabV_tracerel	16086
mfdihedralnewdim	16149
dbg_cachenew	16583
wt1empty	16632
checkmf_i	17066
nu2	17304
hecke_data	17507
checkMF_i	17605
MF_get_N	18501
mf_get_NK	18557
append_dihedral	18718
MF_get_gN	19390
MF_get_S	20356
mybezout	20916
mfsturmNk	21490
mf_get_field	23961
sigchi	24192
mfhecke_i	24486
mfdihedralnew_i	24969
cyc_normalize_zv	26810
mklvchi	26810
Galois	30247
initnewtrace_i	31241
inittrconj	31241
mfcharinit	31248
initnewtrace	31346
mfnewzerodata	31346
bhn_newtrace	31857
newtrace_DATA	32263
newtrace_stripped	32263
reset_cachenew	32263
mfdihedralcommon	33698
cmp_coset	33775
Qab_trace_init	34006
bnrchartwist2conrey	34489
conreydenormalize	34489
CHIvec_ord	34685
mfbd_i	35399
tag2	35875
mkgNK	36344
mfcoefs_i	36673
phipart	36862
dihan_bnr	37758
mysumdivku	37807
QabC_to_Flc	38164
nuinf	38283
newd_params	39956
mf2dimwt12	41363
di_N	42042
induceN	42364
A4	42623
mfcuspdim_i	42700
A21	43057
A22	43057
mf2dim_Nkchi	43463
A3	43505
checkmf2	43729
mfdim_Nndkchi	44744
is_cond	49364
CHIvec_parity	53886
sigchi2_Fl	54992
mfrhopol_eval	56610
mf_get_CHI	61033
tagparams	61782
VS	63742
Wint2	63742
mymoebiusu	65688
mfcharparity	68257
mf_get_k	70735
Unelson	71932
cmp_small_priority	73332
WfromZ	74046
mfchartoprimitive	74256
tracerel_i	80248
RgC_Bd_expand	81823
bhn_parse	81823
Miyake	84028
Rg_embed1	84658
tracerelz	84735
hclassno6u_no_cache	86923
heckenewtrace	87969
Rg_embedall	95000
mfembed	100663
myeulerphiu	106407
mfdiheval	107611
mf_get_N	116620
char_normalize_zv	118517
inittrace	120827
mkbez	120827
mkgcd	120827
mkmup	120827
mksqr	120827
mf_get_gk	136710
colnewtrace	178073
mf_get_gN	181475
trconj	199322
Qab_zeta	200242
Qab_Czeta_Fl	220514
mf_get_type	228158
fix_pol	234178
tracerel	253827
get_PSI	299775
mfcharmul_i	301861
induce	307783
div_restrict	318955
A1	351330
mfrhopol	360603
mfcharGL	373513
mypsiu	384811
mfcharconductor	396424
vchip_lift	407477
CHIvec_expo	419223
mycharexpo	419223
mfcharpol	562709
sigchi2	593096
fg1g2n	593908
sigchi2_dec	648088
gmfcharmodulus	1547861
mfcharmodulus	1547861
newt_params	1863439
vchip_polmod	1902114
Qab_Czeta	2188543
hclassno6u	2371949
znchareval_i	2507092
mfnewchkzero	2582060
mfnewtrace_i	2582060
mfrhopol_u_eval	3248424
mfcharevalord	3561152
mfcharorder	3681391
gmfcharorder	3718848
corediscs_fact	4122384
mfnewtracecache	4481295
TA1	6349754
TA2	6349754
TA3	6349754
TA4	6349754
mfcusptrace_i	6349754
vchip_mod	6408550
mfcusptracecache	7604217
mubeta2	7604217
eiscnm	7644966
Qab_to_Fl	8534960
myh	10619294
mutglistall	15168332
lamsig	19940839
mychareval	23327808
CHIvec_val	23337461
CHIvec_N	23977856
auxsum	33106520
myfactoru	33536868
mydivisorsu	68808468
hclassno6u_i	156323215
mutg1	161118537
mfrhopowsimp	167894548
mycoredisc2neg	176286939
vchip_FC	279169774
myugcd	282878841
mychicgcd	401949880
cache_get	447959297

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