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 29806-4d001396c7) Lines: 7496 7702 97.3 % Date: 2024-12-21 09:08:57 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
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
inflatemod	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
normalizeapprox	56
tag0	56
search_levels	63
RgX_valrem_root	70
cache_report	70
inveis_extraprec	70
mfmatembed	70
mycore	70
sertocol2	70
tp2apply	70
tp2eapply	70
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
hclassno6u_2	81
heckef2_data	84
lfunmf	84
mffrickeeigen	84
mftrivial	84
myusqrt	84
findqga	91
mfatkininit	91
RgV_heckef2	98
RgXV_embed	98
desc_linear	98
mf2init	98
mfsplit	98
mfsymboleval_direct	98
mftraceform	98
mftraceform_i	98
normal	98
RgV_shimura	105
mat2cusp	105
mf1dims	105
mfcharAL	105
mffrickeeigen_i	105
mfhecke	105
mfisnotA5	105
mfisnotS4	105
RgV_pows_RgXn	112
c_pow	112
mfatkinmatnewquad	112
col2cusp	119
mfpetersson	119
mfunram	119
myradicalu	119
RgV_approx	126
bestapprnf2	126
paramconst	126
Haberland	133
NK_eisen2	133
checkNK	133
intAoowithvanall	133
mflfuncreateall	133
mfpetersson_i	133
c_const	140
polishomogeneous	140
constdiv	145
QabM_tracerel	147
mfcharpow	147
mfcheapeisen	147
mfgaexpansionall	147
mintau	147
symbol_type	147
RgX_act_gen	154
consttabh	154
lfunthetaall	154
mfcosets	154
mfperiodpols_i	154
mfsymbol_i	154
c_twist	161
mfcuspwidth	161
mfeigenembed	161
mfeval	161
mfeval_i	161
mflfuncreate	161
mfsymbol	161
zero_at_cusp	161
valNC2	168
constfact	173
c_deriv	175
cxredga0N	175
mfconductor	175
mfgetvan	175
ZX_roots	182
mfderiv	182
mfgaloistype_i	182
myimag_i	182
search_abelian	182
val	189
checkfs2_i	196
mfisequal	196
AX_B	203
CX_D	203
c_etaquo	203
mfcuspval	203
mffrometaquo	210
mfsymboleval	210
mftonew	210
nfcontent	210
findd	217
mfatkininit_i	217
rootspowers	217
mf1intermat	224
mfgaloistype0	224
mfiscuspidal	224
mfisdihedral	224
mfolddim	224
mfeisensteindim	231
mfgaloistype	231
split	231
atkin_get_NQ	238
get_P	238
mfisinspace_i	238
MF_get_r	245
getcolswt2	252
mf1_cusptonew	252
mfbd	252
mfkdimsum	252
mfstabitermod	252
act_GL2	266
c_F2TH4	266
mf2basis	266
mf2init_Nkchi	266
mfEH	266
mfEHmat	266
mfperiod_prelim	280
dim_sum	287
mfspace	287
mfspace_i	287
bdexpandall	294
matTpmod	301
mfcoef	301
unpack23	308
mfcuspisregular	315
divisorsNF	322
nf_primpart	329
van_embedall	336
c_mfEH	343
mf2gaexpansion	343
mfeigenbasis	343
mfheckemat_p	343
mfthetaexpansion	343
mfthetamultiplier	343
RgC_embedall	350
RgX_embedall	350
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
MF_set_space	413
getcolsgen	413
seenD	413
mfsturmmf	427
pol_red	427
vecmflineardiv0	427
mf_get_r	441
mfmultheta	448
mftonew_i	448
mfak_i	455
mfmul	455
vanembed	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
cache_set	515
cusp2mat	518
mftobasisES	518
polabstorel	518
mf_setfield	525
RgX_embed2	532
get_mf_F	532
sqrtm3modN	539
QabM_Minv	588
mfeisensteinspaceinit	588
mfgetembed	588
mkM	588
MF_get_fields	595
QabM_to_Flm	595
mf1dimmod	595
mfcharinv_i	595
sqrtm1modN	595
fs_get_bitprec	602
mfEMPTYall	616
same_cyc	616
desc	623
mfvec_first_cusp	623
charsmodN	630
mfeisensteinspaceinit_i	630
mflineardivtomat	630
c_mul	637
chicompatfix	651
chicompatlift	651
mfcoefsser	665
MFcusp_get_vMjd	672
mfmatsermul	686
mf2dimwt32	693
mflinear_bhn	700
mfparams	700
mfbd_E2	721
checkfs_i	756
grootsof1_CHI	756
mftreatdihedral	784
MF_get_newforms	798
mfTheta	798
vecembed1	798
fs_get_vES	805
mfsturm	805
c_div	833
c_div_i	833
sertovecslice	833
c_Ek	840
mfclean2	847
mffulldim	847
search_from_split	889
const_mat	896
mfnewmathecke_p	896
getembed	903
intAoo	910
mfthetaancreate	938
mfcuspcanon_width	952
mftraceform_new	952
mfdescribe	966
mfchilift	980
mf_eisendec	1001
mfeisensteindec	1001
mftobasis	1001
tobasis	1001
QabM_pseudoinv	1015
mfEMPTY	1022
vecGalois	1022
mflinear	1043
unpack0	1043
c_hecke	1050
mf1newdimsum	1050
mfspclean	1071
sort_by_dim	1071
split_starting_space	1071
mfgaexpansion_i	1085
shift_M	1085
ZabM_pseudoinv_i	1092
mf_same_CHI	1099
mfcharmul	1106
mfslashexpansion	1113
cusp_AC	1120
lfuntag	1141
mf_same_k	1141
mfmatsermul_Fl	1141
split_i	1148
zncharsG	1169
GL2toSL2	1176
update_Mj	1176
fs_get_vE	1190
mfperiod_prelim_double	1204
vecmflinear	1211
vecpush	1211
QabM_init	1225
znstar_get_expo	1260
QabM_pseudoinv_i	1274
Minv_RgM_mul	1281
RgX_act_S	1281
ZM_mulS	1316
findbestsplit	1323
mfistrivial	1323
vecpermute_inplace	1330
vecpermute_partial	1358
MF_set_new	1379
fs_get_MF	1386
mfeisensteinbasis_i	1386
mftobasis_i	1386
mfdim_Nkchi	1393
mfeisensteinbasis	1414
split_ii	1470
mf_normalize	1477
QabX_to_Flx	1484
mynffactor	1498
bestapprnfrel	1519
fs_get_pols	1533
desc_i	1540
QabM_ker	1561
condC	1568
bern_init	1589
mfchisimpl	1596
mkF2bd	1645
RgX_embed	1673
mfvecembed	1708
mf1chars	1729
getcols	1778
fs_get_expan	1792
mfgaexpansion	1799
check_SL2Z	1806
mflinear_strip	1820
mf1_pre	1834
pindices	1834
MF_get_basis	1855
pari_close_mf	1862
c_newtrace	1897
c_theta	1911
charLFwt1_Fl	2002
mflinear_linear	2016
mflineardiv_linear	2016
RgV_normalize	2065
fs_get_cosets	2086
mfvectomat	2093
mf1dimsum	2114
mfdiv_val	2163
update_factor_cache	2201
c_linear_bhn	2233
mfqk	2338
ZM_mulTi	2352
get_vDIH	2373
sertocol	2387
mfinit	2394
Tpmod	2408
RgM_Minv_mul	2436
hecke_i	2527
getnlim2	2541
getw1w2	2541
abundant	2548
act_S	2562
mfcoefs_mf	2590
mfeisenstein2all	2604
anextract	2618
charLFwt1	2618
mfinit_Nndkchi	2695
mfcharistrivial	2709
chicompat	2723
taglinear	2765
non_residues	2814
mfchiadjust	2821
RgX_act_typ	2828
toRgX0	2828
RgX_approx	2849
charLFwtk_Fl	2849
normalizeapprox_i	2884
mfkdims	2961
c_linear	2975
mynumdivu	2975
check_M2Z	2982
mfdim0all	3010
mfinitcusp	3199
vecmfNK	3227
mfchars	3255
mfsturmNgk	3262
mfskcx	3346
lamCO	3360
mfinit_i	3360
RgV_mul_RgXn	3381
mfcuspdim	3381
dim22	3696
zeta2CO	3696
mfdihedralcusp	3857
checkMF	3864
mfcoefs	3864
mfsamefield	3906
mf1init	3969
ok_bhn_linear	3976
fmt_dim	3983
gmfcharno	3983
mfcleanCHI	4025
get_mfchar	4039
mf1cuspdimsum	4123
mf1cuspdimall	4144
charLFwtk	4298
getcols_i	4340
mfeisenstein2_0_Fl	4340
mfeisenstein2pure_Fl	4340
MF_get_E	4389
mfsturm_mf	4536
ZM_mulT	4634
RgV_to_ser_full	4655
MF_get_Minv	4774
f00	4865
mfchargalois	4872
Rg_embedall_i	4907
mfclean	4977
mfinit_Nkchi	4991
mfeisenstein2pure	5124
RgV_shift	5159
vecj_expand	5159
expandbd	5383
mfalchi2	5460
mfcharmulcxeval	5460
mfeisensteingacx	5460
mfgatogap	5460
MF_get_dim	5502
mfchardiv	5509
mfchardiv_i	5509
c_dihedral	5579
mfdim	5719
improve	5740
mkeisen	5740
nf2_get_conj	5768
mfchartrivial	5775
space_is_cusp	5992
f00_i	6146
bdexpand	6370
char2	6615
mffindrootof1	6741
taglinear_i	6741
MF_get_M	6790
bhnmat_extend_nocache	6923
tracerel_z	6944
expandbd_Fl	6979
mubeta	6993
MF_get_k	7021
mfdihedralcuspdim	7105
MFnew_get_vj	7175
Minv_RgC_mul	7294
mf1cuspdim_i	7315
mfbdall	7343
c_Bd	7462
ceilA1	7602
get_badj	7602
mkMinv	7700
badchar	7798
get_gb	7805
mfeisenstein2_0	7854
hash_eisengacx	7868
m1pk	8155
mfolddim_i	8358
Rg_approx	8414
MF_get_CHI	8561
c_deflate	8778
mfdihedralnew	8820
bhnmat_extend	9065
mftocol	9065
SL2_div_D	9149
mftocoset_iD	9149
mftocoset_i	9163
checkCHI	9191
checkNK2	9198
cache_delete	9310
dihan_bnf	9331
parse_vecj	9366
mfcharcxeval	9436
mfZC_width	9667
nu3	10178
tag	10220
Wcoshall	10304
Wint	10304
Wparams	10304
QabM_indexrank	10388
MF_get_Mindex	10409
mfcharmuleval	10920
c_mfeisen	11256
mf1basis	11284
coset_complete	11914
mfconreyminimize	12138
mkmf	12306
get_DIH	12355
mfcharinduce	13048
init_cachenew	13202
Rg_embed2	13328
dihan	13573
mfcharno	13678
charistotallyeven	13846
RgX_embed1	14203
mfchareval	14217
gausssumcx	14266
mfcharcxinit	14266
MF_get_gk	14574
MF_get_space	14665
mkNK	15015
CHIvec_CHI	15372
mfnewinit	15582
mfnewdim	15827
get_bnrconreyN	15862
tag3	16086
QabV_tracerel	16093
mfdihedralnewdim	16149
wt1empty	16632
dbg_cachenew	17213
hecke_data	17542
nu2	17549
checkmf_i	18627
checkMF_i	18697
append_dihedral	18718
mf_get_NK	18767
MF_get_N	19173
MF_get_gN	20265
MF_get_S	21077
mfsturmNk	21714
mybezout	21840
sigchi	24192
mf_get_field	24262
mfhecke_i	24619
mfdihedralnew_i	24969
cyc_normalize_zv	26810
mklvchi	26810
Galois	30331
bhn_newtrace	32494
initnewtrace_i	32683
inittrconj	32683
mfcharinit	32690
initnewtrace	32788
mfnewzerodata	32788
mfdihedralcommon	33698
newtrace_DATA	33712
newtrace_stripped	33712
reset_cachenew	33712
Qab_trace_init	34013
bnrchartwist2conrey	34489
conreydenormalize	34489
cmp_coset	35434
CHIvec_ord	35763
mfbd_i	35805
tag2	36127
phipart	36869
mkgNK	36967
dihan_bnr	37758
mfcoefs_i	37863
QabC_to_Flc	38164
nuinf	38892
mf2dimwt12	41363
newd_params	41510
di_N	42042
induceN	42364
A4	43253
mfcuspdim_i	43330
mf2dim_Nkchi	43463
A21	43701
A22	43701
checkmf2	43729
A3	44149
mfdim_Nndkchi	44744
mysumdivku	47600
is_cond	49364
CHIvec_parity	54054
sigchi2_Fl	55531
mfrhopol_eval	56620
mf_get_CHI	61894
tagparams	62615
VS	63742
Wint2	63742
mymoebiusu	65709
mfcharparity	68369
mf_get_k	71694
Unelson	71932
cmp_small_priority	73759
WfromZ	74046
mfchartoprimitive	76307
tracerel_i	80255
RgC_Bd_expand	82481
bhn_parse	82481
Miyake	84028
Rg_embed1	84658
tracerelz	84756
hclassno6u_no_cache	86917
heckenewtrace	88697
Rg_embedall	95000
mfembed	100670
mfdiheval	107611
myeulerphiu	109662
char_normalize_zv	118517
mf_get_N	118860
inittrace	127169
mkbez	127169
mkgcd	127169
mkmup	127169
mksqr	127169
mf_get_gk	138943
colnewtrace	179235
mf_get_gN	183960
Qab_zeta	200242
trconj	204061
Qab_Czeta_Fl	221459
mf_get_type	231581
fix_pol	234178
tracerel	253855
get_PSI	299775
mfcharmul_i	301861
induce	307909
div_restrict	322077
A1	359366
mfrhopol	361541
mfcharGL	373877
mypsiu	393960
mfcharconductor	397327
vchip_lift	410718
CHIvec_expo	422177
mycharexpo	422177
mfcharpol	564011
sigchi2	593684
fg1g2n	612675
sigchi2_dec	649215
gmfcharmodulus	1560188
mfcharmodulus	1560188
newt_params	1874765
vchip_polmod	1913440
Qab_Czeta	2189572
hclassno6u	2427669
znchareval_i	2508317
mfnewchkzero	2599588
mfnewtrace_i	2599588
mfrhopol_u_eval	3251068
mfcharevalord	3563112
mfcharorder	3684408
gmfcharorder	3722761
mfnewtracecache	4501119
corediscs_fact	5200863
TA1	6390844
TA2	6390844
TA3	6390844
TA4	6390844
mfcusptrace_i	6390844
vchip_mod	6440981
mfcusptracecache	7650494
mubeta2	7650494
eiscnm	7830900
Qab_to_Fl	8534960
myh	10646797
lamsig	14089494
mutglistall	15215785
mychareval	24038714
CHIvec_val	24048745
CHIvec_N	24694754
auxsum	33177353
myfactoru	33684624
mydivisorsu	69087138
hclassno6u_i	156440563
mutg1	161244593
mfrhopowsimp	168051054
mycoredisc2neg	176460473
vchip_FC	279516120
myugcd	283248301
mychicgcd	402384797
cache_get	448759798

Generated by: LCOV version 1.16