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 - elliptic.c (source / functions) Hit Total Coverage Test: PARI/GP v2.18.1 lcov report (development 30552-d1d0643eee) Lines: 3913 4160 94.1 % Date: 2025-11-23 09:22:56 Functions: 363 371 97.8 % Legend: Lines: hit not hit

Function Name	Hit count
checkell_Qp	0
checkellpt	0
ellintegralbmodel	0
ellprint	0
elltwist_card	0
localredbug	0
point_to_a4a6	0
triv_ser	0
bilhell	7
ch_Fp	7
ch_Rg	7
ellQ_isisom	7
ellexpo	7
ellnf_isisom	7
CM_factor	14
ellchangecompose	14
ellchangecompose_i	14
ellchangeinvert	14
ellisisom	14
elllseries	14
ellmul_CM	14
ellmul_CM_aux	14
elltaniyama	14
bilhell_i	21
ch_Qp	21
ellQ_bsd	28
ellnf_veceta	28
ellheightpairing	35
min_set_2	35
ellQ_isdivisible	42
ellQ_isdivisible_test	42
ellnf_bsd	42
myroundr	42
nfrestrict23	42
ellQ_saturation	49
ellQ_tamagawa	49
ellchangeinvert_i	49
ellnf_charpoly	49
ellnf_vecomega	49
ellsaturation	49
ellsub	49
elltamagawa	49
ellchangevecpt	56
ellnf_get_CM	56
ellnf_volume	56
bnf_get_v	63
ellnfminimalmodel	63
ellnfminimalmodel_i	63
ellbsd	70
elleulerf	70
ellheightfaltings	70
ellminimaldisc	70
ellneg_i	70
ellpadicheight0	70
elltrace	70
ellQ_charpoly	77
real_prec	84
ellQ_rootno	91
ellnf_vecarea	91
ec_phi2	105
ch_Fq	119
ch_FF	126
ellsea	126
to_RgX	126
ellff_charpoly	140
elllog	140
min_set_3	140
Flv_firstnonzero	147
elliscm	154
doellnfrootno	168
ellnf_rootno_global	168
ellnf_vec_wrap	168
ellinit_Qp	203
ellnfan	203
ellcharpoly	210
ellrootno	210
padic_prec	238
ellnf_reladelicvolume	245
ellnf2isog	287
rootnovalp	287
elltatepairing	301
ellanQ	329
ellrnfup	364
_mul	385
twist2	392
ellminimaltwistcond	399
ellxn	406
ellminimaltwist0	448
nf_coordch	483
nf_coordch_rst	483
RgE2_Fp_init	497
ellchangevecptinv	504
ellan	525
ec_dFdy_evalQ	532
neron_3	595
ellminimaltwist	665
akell	693
checkell_int	693
ec_half_deriv_2divpol_evalx	707
apk_good	735
ec_half_deriv_2divpol	812
ellQ_genreduce	833
ellnf_adelicvolume	854
ellnf_bsdperiod	854
ellheightmatrix	861
ellpadicheightmatrix	875
ellnf_tamagawa	882
ellQ_get_Nfa	917
ellminimalbmodel	966
Q_to_globalred	980
ellchangepointinv	980
ellnfglobalred	980
ellnfembed_free	1029
ellchangepointinv0	1043
ellnf_D_primes	1106
_sqr	1190
ellsatp	1204
ellsatp_mat	1204
ellsupersingularj	1204
ellrootno_3	1428
ellrootno_2	1673
neron_2	1673
ZtoF2	1820
ellintegralmodel	2492
FljV_vecsat_Prickett	2807
ltors_Fl	2807
ellordinate	3010
ellordinate_i	3010
kod_23	3101
val_init	3101
doellrootno	3269
ellchangeptinv	3360
ellrootno_p	3381
checkellisog	3752
oncurve_exact	3855
ZV_is_ei	4214
ellQ_factorback	4228
QEV_to_ZJV	4460
ellanal_globalred	4550
ellrootno_global	4599
direllnf_worker	4960
elldivpol0	5075
ellweilpairing	5250
ellQ_factorback_chinese	5332
cardmod2	5845
F2_card	5866
ellanQ_zv	6713
ellapQ_zv	6713
cardmod3	7378
F3_card	7518
ellQ_get_N	8071
checkell_Q	8246
FljV_vecsat_Siksek	8631
ellQ_factorback_slice	8741
ellQ_factorback_worker	8741
val_aux	9303
ellbasechar	9394
nb_real_components	9688
ellQ_factorback_filter	10789
FljV_vecsat	11438
ellR_area	11998
sievep_bad	12572
elldivpol	13272
elldivpol4	15211
FljV_changepointinv_pre	15322
ellQ_factorback1	15732
gcomposev	15911
ellgenerators	16849
doellgens	18690
ellff_get_D	18690
ellff_get_m	18690
ellff_get_gens	18767
doellff_get_o	19292
nf_coordch_st	19406
ellff_get_o	19845
ellQtwist_bsdperiod	19859
ellapQ_zv_worker	20250
ellQ_get_CM	20410
_hell	20468
ellgroup0	21490
ellQminimalmodel	21567
ellminimalmodel	21637
ellfromj_simple	22715
slope_samex	25768
nflocalred_section7	27524
elltwist	28574
ellheight_C	28728
prV_merge_factors	28812
ellpointnfembed	28819
ellnf_height	28833
Q_to_minimalprimes	29554
ec_2divpol_evalx	29715
ellnf_minimalnormu	29722
ellnf_c4c6_primes	29771
ellnfembed	29841
ellheightoo	30660
safe_Z_lval	31290
QE_to_ZJ	33680
ellfromj	34020
handle_Q	40495
ellisoncurve	44156
gellisoncurve_i	44296
ellQ_height	52410
ell_is_integral	52753
elladd	54041
ellheight0	57659
ellminimalprimes	58660
ellnf_get_nf_prec	58660
nfembed_extraprec	58660
doellR_ab	58842
zk_capZ	60648
point_to_a4a6_Fl	64236
ec_3divpol_evalx	64856
ellinit_Rg	67116
approx_mod3	70308
ellinit_nf	73437
ellheight	81243
ellneg	82034
ellR_ab	83056
ellR_on_neutral	83056
ellR_root	83056
exphellagm	83056
hoo_aux	83056
quad_root	83056
ellnflocal	83772
ellnf_localheight	85211
ch_Q	90720
ch_R	90720
a4a6_ch_Fl	91290
Fq_c4_to_a4	93477
Fq_c4c6_to_a4a6	93477
ellQap	98581
chk_p	99622
ellinit_Fq	114496
ellchangept	116215
ellgroup_m	120715
FF_ellinit_ns	120999
ellisoncurve_i	126029
ellgroup	127806
nflocalred_p	128408
ec_LHS_evalQ	129807
ellchangepoint	132385
ec_dFdx_evalQ	135143
ellinit_nf_to_Fq	137732
ellnf_to_Fq	137753
ch_NF	140574
approx_mod2	140616
doellGm	146454
ellchangepoint0	147029
a4a6_ch	150805
ell_to_a4a6_bc	150805
ellchangetoalg	156933
Q_numer	157580
get_piinv	157675
ellinit_Fp	165224
elljissupersingular	165907
ellissupersingular	166117
ellff_get_group	167307
doellR_roots	170058
ell_to_nfell10	181986
nflocalred_23	181986
nf_compose_s	184658
nf_coordch_s	184658
ellff_Gm	185997
ellcard	186995
ellnfap	191809
checkellpts	192228
elllocalred	197085
nfembedall	206843
coordch	213157
fix_nftype	213367
ell_reset	213402
ellR_roots	223147
doellcard	223493
checkell5	228788
ellchangecurve	228788
coordch_uinv	229824
coordch_s	231147
doellR_roots_i	231465
invcmp	236685
ellrandom	245679
ec_bmodel	247747
ec_dmFdy_evalQ	248538
ellffmul	250156
ellmul_Z	251164
ellmul	251227
checkell_Fq	253918
nflocalred	261233
initsmall46	261740
ellff_get_card	269287
nfVtoalg	273637
nf_coordch_rt	301564
get_uniformizers	310394
ellff_get_p	385781
ellQap_u	404334
nf_coordch_t	407583
nf_compose_u	443723
nf_coordch_uinv	444206
numroots3	473809
nf_compose_r	479434
nf_compose_st	496370
nf_coordch_r	500026
ell_over_Fq	505082
pola1a2	579782
pola2a4a6	592928
nf_compose_rt	594209
checkellpt_i	601525
coordch_t	683263
coordch_rst	751044
coordch_st	751044
vecispt	793669
nf_compose_t	843276
ellglobalred	909573
ellQ_globalred	912065
ellglobalred_i	925106
ellQ_minimalu	959420
ellminimalmodel_i	963095
Z_gcd_primes	989191
min_to_ell	1008196
Zec_h_evalx	1021279
min_get_v	1021279
min_set_all	1021279
min_set_D	1021293
min_set_a	1021314
min_set_b	1021454
ellinit_Q	1023309
sievep_good	1070041
pola3a6	1070167
ellan_get_ap	1078579
sievep	1082613
ellap_CM_fast	1133363
ec_f_evalx	1196523
coordch_r	1264564
min_set_c	1312857
min_set_u	1312857
ellinit	1353129
ellinit_i	1354158
is_trivial_change	1357665
localred_23	1362088
initsmall5	1398285
get_j	1435722
initsmall	1443764
Fl_c4c6_to_a4a6	1447622
Fl_ell_to_a4a6	1447973
Fl_c6_to_a6	1448221
base_ring	1448350
Fl_c4_to_a4	1527535
numroots2	1537452
isptcoord	1571721
ec_h_evalx	1579085
pol2sqrt_23	1627108
get_vp_u	1711640
localred_p	1711640
j_pval	1715021
aux	1722973
to_mod	1960465
nftoalg	2127489
ellcard_ram	2422049
ellap	2584043
ell_to_a4a6	2592129
aux2	2773358
c4_to_a4	2883545
c4c6_to_a4a6	2883545
localred	3073308
checkellp	3113162
localred_result	3384122
get_vp_u_small	3481124
ellintegralmodel_i	3758787
checkell	4864522
init_ch	5090127
handle_coeff	18793747

Generated by: LCOV version 1.16