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:

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 29789-eb252ba62d) Lines: 7496 7702 97.3 %
Date: 2024-12-03 09:08:48 Functions: 769 775 99.2 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by 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
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
mfisetaquo 49
mfisetaquo_i 49
mfperiodpolbasis 49
mfshimura 49
mfval 49
simple_pole 49
hclassno6_count 51
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
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
hclassno6u_2 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
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 499
desc_mfeisen 504
cache_set 513
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 2192
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 56618
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 86919
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 3251066
mfcharevalord 3563112
mfcharorder 3684408
gmfcharorder 3722761
mfnewtracecache 4501119
corediscs_fact 4835048
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 14097340
mutglistall 15215785
mychareval 24038714
CHIvec_val 24048745
CHIvec_N 24694754
auxsum 33177353
myfactoru 33684626
mydivisorsu 69087138
hclassno6u_i 156440563
mutg1 161244593
mfrhopowsimp 168051054
mycoredisc2neg 176460469
vchip_FC 279516120
myugcd 283248301
mychicgcd 402384797
cache_get 448759798

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