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 v2.18.1 lcov report (development 30367-364c17a628) Lines: 7497 7701 97.4 %
Date: 2025-07-03 09:21:30 Functions: 769 775 99.2 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
A1 364665
A21 43911
A22 43911
A3 44359
A4 43442
AX_B 203
CHIvec_CHI 25914
CHIvec_N 28601909
CHIvec_expo 626913
CHIvec_ord 66311
CHIvec_parity 54754
CHIvec_val 27670174
CX_D 203
GL2toSL2 1428
Galois 30331
Haberland 140
Hfind 7
MF_get_CHI 8827
MF_get_E 4466
MF_get_M 6895
MF_get_Mindex 10619
MF_get_Minv 4858
MF_get_N 19943
MF_get_S 21427
MF_get_basis 1876
MF_get_dim 5621
MF_get_fields 616
MF_get_gN 21147
MF_get_gk 15456
MF_get_k 7224
MF_get_newforms 819
MF_get_r 245
MF_get_space 15358
MF_set_new 1589
MF_set_space 413
MFcusp_get_vMjd 686
MFnew_get_vj 7273
Mindex_as_coef 49
Minv_RgC_mul 7924
Minv_RgM_mul 1309
Miyake 84028
NK_eisen2 133
QabC_to_Flc 38164
QabM_Minv 609
QabM_indexrank 10486
QabM_init 1246
QabM_ker 1638
QabM_pseudoinv 1092
QabM_pseudoinv_i 1351
QabM_rank 35
QabM_to_Flm 595
QabM_tracerel 147
QabV_tracerel 16170
QabX_to_Flx 1484
Qab_Czeta 2247504
Qab_Czeta_Fl 313040
Qab_to_Fl 8534960
Qab_trace_init 34048
Qab_tracerel 0
Qab_zeta 200753
RgC_Bd_expand 83601
RgC_embedall 350
RgM_Minv_mul 2436
RgV_approx 126
RgV_div_RgXn 399
RgV_heckef2 98
RgV_inflatemod 7
RgV_mul_RgXn 8869
RgV_normalize 2065
RgV_pows_RgXn 112
RgV_shift 11039
RgV_shimura 105
RgV_to_ser_full 4655
RgXV_embed 98
RgX_act_S 1288
RgX_act_gen 154
RgX_act_typ 2842
RgX_approx 2863
RgX_by_parity 14
RgX_embed 1687
RgX_embed1 14203
RgX_embed2 532
RgX_embedall 364
RgX_isspherical 28
RgX_valrem_root 70
RgXn_negpow 375
Rg_approx 8582
Rg_embed1 84658
Rg_embed2 13328
Rg_embedall 95154
Rg_embedall_i 4907
SL2_div_D 9177
TA1 6450498
TA2 6450498
TA3 6450498
TA4 6450498
Tp 469
Tpmod 2408
Unelson 71932
VS 63742
Wcoshall 10304
WfromZ 74046
Wint 10304
Wint2 63742
Wparams 10304
ZM_mulS 1337
ZM_mulT 4634
ZM_mulTi 2352
ZX_roots 182
ZabM_pseudoinv_i 1106
_RgXQM_mul 378
abundant 2590
act_GL2 266
act_S 2576
actal 42
anextract 2618
anyembed 28
append_dihedral 18718
atkin_get_NQ 245
auxsum 33430095
badchar 7889
bdexpand 14168
bdexpandall 343
bern_init 2016
bestapprnf2 126
bestapprnfrel 1519
bhn_newtrace 32648
bhn_parse 83601
bhnmat_extend 9212
bhnmat_extend_nocache 7035
bnrchartwist2conrey 34489
c_Bd 7504
c_Ek 882
c_F2TH4 266
c_QF_i 56
c_QFsimple_i 49
c_bracket 42
c_const 140
c_cusptrace 21
c_deflate 8834
c_delta 539
c_deriv 175
c_derivE2 14
c_dihedral 5579
c_div 833
c_div_i 833
c_ell 77
c_etaquo 203
c_hecke 1232
c_linear 3010
c_linear_bhn 2303
c_mfEH 343
c_mfeisen 11333
c_mul 637
c_newtrace 1918
c_pow 112
c_shift 35
c_theta 1911
c_twist 168
cache_delete 9450
cache_get 451439195
cache_report 70
cache_reset 511
cache_set 525
ceilA1 7686
char2 11172
charLFwt1 2618
charLFwt1_Fl 2002
charLFwtk 4543
charLFwtk_Fl 3227
char_normalize_zv 118517
charistotallyeven 13846
charsmodN 651
checkCHI 9233
checkMF 4193
checkMF_i 19187
checkNK 133
checkNK2 9240
checkPv 28
check_M2Z 3486
check_SL2Z 2058
checkbij_i 7
checkemb_i 28
checkfs2_i 210
checkfs_i 798
checkmf2 43729
checkmf_i 19362
checkmfa 63
chicompat 2723
chicompatfix 651
chicompatlift 651
cmp_coset 35469
cmp_ord 371
cmp_small_priority 74431
col2cusp 126
colnewtrace 184261
condC 1568
conreydenormalize 34489
const_mat 910
constcoredisc 48
constdiv 152
constfact 187
consttabdihedral 14
consttabh 152
corediscs_fact 4847676
coset_complete 11963
cusp2mat 518
cusp_AC 1134
cusp_canon 364
cxredga0N 182
cyc_normalize_zv 26810
dbg_cachenew 17626
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 42
dim_sum 287
discard_Ti 0
div_restrict 324443
divisorsNF 322
eiscnm 9635178
err_cyclo 14
err_space 7
eta3_ZXn 525
evalcusp 364
expandbd 5845
expandbd_Fl 7714
f00 12446
f00_i 13727
fg1g2n 855267
findbestsplit 1358
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 70
fs_get_MF 1463
fs_get_bitprec 630
fs_get_cosets 2191
fs_get_expan 1890
fs_get_pols 1596
fs_get_vE 1246
fs_get_vES 847
fs_set_expan 28
gausssumcx 33985
get_DIH 12355
get_P 259
get_PSI 299775
get_Shimura 21
get_badj 7686
get_bnrconreyN 15862
get_gb 7805
get_mf_F 546
get_mfchar 4046
get_vDIH 2373
get_vP 21
getcache 14
getcols 2037
getcols_i 5054
getcolsgen 441
getcolswt2 252
getembed 938
getnlim2 2555
getw1w2 2555
gmfcharmodulus 1616874
gmfcharno 3983
gmfcharorder 3874416
grootsof1_CHI 791
gsubstvec_i 14
hash_eisengacx 19236
hclassno6_count 51
hclassno6u 2551863
hclassno6u_2 76
hclassno6u_i 157401866
hclassno6u_no_cache 86908
hecke_data 18186
hecke_i 2709
heckef2_data 84
heckenewtrace 90482
improve 5740
induce 311731
induceN 42364
inflatemod 49
init_cachenew 13566
initnewtrace 33341
initnewtrace_i 33236
inittrace 128303
inittrconj 33236
initwt1newtrace 21
initwt1trace 28
intAoo 945
intAoo0 77
intAoowithvanall 147
inveis_extraprec 70
is_cond 49364
lamCO 3360
lamsig 14363864
lfunfindchi 21
lfunmf 98
lfunquadneg_naive 28
lfuntag 1197
lfunthetaall 161
m1pk 8246
mat2cusp 112
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 1029
mfEMPTYall 616
mfEk 406
mfTheta 798
mfZC_width 9975
mf_eisendec 1218
mf_get_CHI 62489
mf_get_N 120631
mf_get_NK 19425
mf_get_field 24472
mf_get_gN 185864
mf_get_gk 140805
mf_get_k 72961
mf_get_r 441
mf_get_type 233905
mf_normalize 1540
mf_same_CHI 1148
mf_same_k 1190
mf_setfield 588
mfak_i 455
mfalchi2 13041
mfatkin 63
mfatkineigenquad 56
mfatkineigenvalues 49
mfatkininit 98
mfatkininit_i 224
mfatkinmatnewquad 112
mfbasis 364
mfbd 266
mfbd_E2 721
mfbd_i 36456
mfbdall 7378
mfbracket 28
mfcanfindp0 14
mfcharAL 112
mfcharGL 378490
mfcharchiliftprim 35
mfcharconductor 397663
mfcharconj 56
mfcharcxeval 9513
mfcharcxinit 33985
mfchardiv 10066
mfchardiv_i 10066
mfchareval 14238
mfcharevalord 3674594
mfchargalois 4872
mfcharinduce 13048
mfcharinit 33243
mfcharinv_i 595
mfcharistrivial 2709
mfcharmodulus 1616874
mfcharmul 1106
mfcharmul_i 301861
mfcharmulcxeval 13041
mfcharmuleval 26082
mfcharno 13699
mfcharorder 3816281
mfcharparity 68460
mfcharpol 598843
mfcharpow 147
mfchars 3255
mfchartoprimitive 81676
mfchartrivial 5824
mfcheapeisen 154
mfchiadjust 2821
mfchiembed 7
mfchilift 980
mfchisimpl 1596
mfclean 5026
mfclean2 861
mfcleanCHI 4074
mfcoef 301
mfcoefs 4116
mfcoefs_i 38402
mfcoefs_mf 2611
mfcoefsser 665
mfconductor 175
mfconreyminimize 12138
mfcosets 168
mfcuspcanon_width 1001
mfcuspdim 3423
mfcuspdim_i 43519
mfcuspisregular 315
mfcusps 28
mfcusps_i 49
mfcusptrace_i 6450498
mfcusptracecache 7714544
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 364
mfeigenembed 161
mfeigensearch 35
mfeisenstein 371
mfeisenstein2_0 8351
mfeisenstein2_0_Fl 5054
mfeisenstein2all 2639
mfeisenstein2pure 5586
mfeisenstein2pure_Fl 5054
mfeisenstein_i 371
mfeisensteinbasis 1449
mfeisensteinbasis_i 1421
mfeisensteindec 1218
mfeisensteindim 231
mfeisensteingacx 13041
mfeisensteinspaceinit 609
mfeisensteinspaceinit_i 651
mfembed 100845
mfembed0 49
mfeval 168
mfeval_i 168
mffields 35
mffindeisen1 35
mffindrootof1 6741
mffrickeeigen 84
mffrickeeigen_i 119
mffromell 28
mffrometaquo 210
mffromlfun 21
mffromqf 77
mffulldim 868
mffvanish 14
mfgaexpansion 2051
mfgaexpansion_i 1288
mfgaexpansionall 175
mfgaexpansionatkin 77
mfgaloisprojrep 77
mfgaloistype 231
mfgaloistype0 224
mfgaloistype_i 182
mfgatogap 13041
mfgetembed 623
mfgetvan 189
mfhecke 105
mfhecke_i 25368
mfheckemat 77
mfheckemat_mfcoefs 350
mfheckemat_mfcoefs_p 35
mfheckemat_mfcoefs_p2 7
mfheckemat_p 343
mfinit 2436
mfinit_Nkchi 5047
mfinit_Nndkchi 2751
mfinit_i 3416
mfinitcusp 3241
mfinittonew 49
mfisCM 14
mfiscuspidal 231
mfisdihedral 224
mfisequal 196
mfisetaquo 49
mfisetaquo_i 49
mfisinkohnen 28
mfisinspace_i 259
mfisnotA5 105
mfisnotS4 105
mfistrivial 1372
mfkdims 2961
mfkdimsum 252
mfkohnenbasis 21
mfkohnenbasis_i 21
mfkohnenbijection 14
mfkohnenbijection_i 14
mfkohneneigenbasis 7
mflfuncreate 175
mflfuncreateall 147
mflinear 1064
mflinear_bhn 770
mflinear_i 490
mflinear_linear 2016
mflinear_strip 1918
mflineardiv_linear 2016
mflineardivtomat 630
mfmanin 42
mfmatembed 70
mfmatsermul 686
mfmatsermul_Fl 1141
mfmul 455
mfmultheta 448
mfnewchkzero 2628827
mfnewdim 15911
mfnewinit 15666
mfnewmathecke_p 924
mfnewtrace_i 2628827
mfnewtracecache 4582928
mfnewzerodata 33341
mfolddim 224
mfolddim_i 8442
mfparams 700
mfperiod_prelim 301
mfperiod_prelim_double 1253
mfperiodpol 35
mfperiodpolbasis 49
mfperiodpols_i 168
mfpetersson 126
mfpetersson2 21
mfpetersson_i 140
mfpeterssonnoncusp 14
mfpow 77
mfqk 6118
mfrhopol 402687
mfrhopol_eval 56616
mfrhopol_u_eval 4054279
mfrhopowsimp 169019315
mfs_checkmf 49
mfs_iscusp 35
mfsamefield 4074
mfsearch 28
mfshift 42
mfshimura 49
mfshimura_space_cusp 42
mfskcx 7903
mfslashexpansion 1365
mfspace 287
mfspace_i 287
mfspclean 1092
mfsplit 112
mfstabiter 28
mfstabitermod 252
mfsturm 826
mfsturmNgk 3318
mfsturmNk 21910
mfsturm_mf 4585
mfsturmmf 427
mfsymbol 175
mfsymbol_i 168
mfsymboleval 210
mfsymboleval_direct 112
mfsymbolevalpartial 77
mftaylor 14
mfthetaI 56
mfthetaancreate 980
mfthetaexpansion 343
mfthetamultiplier 343
mftobasis 1029
mftobasisES 539
mftobasis_i 1435
mftocol 9114
mftocoset 7
mftocoset_i 9198
mftocoset_iD 9177
mftonew 217
mftonew_i 455
mftraceform 98
mftraceform_cusp 14
mftraceform_i 98
mftraceform_new 980
mftreatdihedral 784
mftrivial 84
mftwist 28
mfunram 119
mfval 49
mfvec_first_cusp 623
mfvecembed 1743
mfvectomat 2128
mintau 154
mkF2bd 1645
mkM 609
mkMinv 7791
mkNK 15176
mkS 21
mkbez 128303
mkeisen 6202
mkgNK 37324
mkgcd 128303
mklvchi 26810
mkmf 12439
mkmup 128303
mksqr 128303
moreorders 392
mubeta 7042
mubeta2 7714544
mutg1 162226812
mutglistall 15231080
mybezout 52164
mychareval 27645779
mycharexpo 626913
mychicgcd 404190216
mycore 70
mycoredisc2neg 177457982
mycoredisc2pos 14
mydivisorsu 69527256
myeulerphiu 110159
myfactoru 33835572
myh 10652124
myimag_i 189
mymoebiusu 65709
mynffactor 1533
mynumdivu 3017
mypsiu 399609
myradicalu 119
mysqrtu 56
mysumdivku 48020
myugcd 284283559
myusqrt 84
newd_params 42147
newd_params2 21
newt_params 1903283
newtrace_DATA 34293
newtrace_stripped 34293
nf2_get_conj 5768
nf_primpart 455
nfcontent 294
non_residues 2814
normal 98
normalizeapprox 56
normalizeapprox_i 2898
not_in_space 77
nu2 17598
nu3 10220
nuinf 39032
ok_bhn_linear 4004
paramconst 126
pari_close_mf 1890
parse_vecj 15491
pathmattovec 7
phipart 36869
pindices 1834
pol_red 455
polabstorel 518
polishomogeneous 140
reset_cachenew 34293
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 1288
sigchi 24192
sigchi2 608384
sigchi2_Fl 77791
sigchi2_dec 686175
simple_pole 49
sort_by_dim 1092
space_is_cusp 6069
split 252
split_i 1169
split_ii 1491
split_starting_space 1092
sqrtm1modN 595
sqrtm3modN 581
symbol_same_mf 35
symbol_type 161
tag 10346
tag0 56
tag2 36918
tag3 16184
tag4 0
taglinear 2793
taglinear_i 6839
tagparams 63630
toRgX0 2863
tobasis 1022
tp2apply 70
tp2eapply 70
tracerel 253855
tracerel_i 80255
tracerel_z 6944
tracerelz 84756
trconj 232579
u_pporad 28
unact 14
unpack0 1043
unpack2 42
unpack23 308
update_Mj 1239
update_factor_cache 2134
val 189
valNC2 168
van_embedall 357
vanembed 490
vchip_FC 280525828
vchip_lift 416304
vchip_mod 6497695
vchip_polmod 1954117
vecGalois 1022
vecact_GL2 7
vecembed1 798
vecembed2 42
vecj_expand 11039
vecmfNK 3227
vecmflinear 1211
vecmflineardiv0 427
vecmflineardiv_linear 476
vecpermute_inplace 1358
vecpermute_partial 1603
vecpush 1239
wt1empty 16632
wt1mulcond 0
wt1newlevel 7
zero_at_cusp 168
zeta2CO 3696
znchareval_i 2556092
zncharsG 1169
znstar_get_expo 1302

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