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 - Flx.c (source / functions) Hit Total Coverage
Test: PARI/GP v2.18.1 lcov report (development 30571-c0dfe82732) Lines: 2553 2925 87.3 %
Date: 2025-12-08 09:22:00 Functions: 304 363 83.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 461919
Fl2_inv_pre 201744
Fl2_mul_pre 2012136
Fl2_norm_pre 128153
Fl2_pow_pre 689232
Fl2_sqr_pre 5068514
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 78372
Fl_Flxq_log 35549
Fl_Xp1_powu 0
Fl_to_Flx 21212625
Flm_to_FlxV 2772
FlvV_polint_tree 2540811
Flv_Flm_polint 103491
Flv_inv 1744799
Flv_invVandermonde 153445
Flv_inv_i 1756809
Flv_inv_indir 51282
Flv_inv_inplace 12017
Flv_inv_pre 10047
Flv_inv_pre_indir 21406285
Flv_inv_pre_inplace 19677885
Flv_polint 1486586
Flv_prod 0
Flv_prod_pre 3304
Flv_producttree 1746002
Flv_roots_to_pol 795640
Flv_to_Flx 25521645
FlxC_Fl_translate 0
FlxC_FlxqV_eval 0
FlxC_FlxqV_eval_pre 0
FlxC_Flxq_eval 0
FlxC_Flxq_eval_pre 0
FlxC_eval_powers_pre 325154
FlxC_neg 0
FlxC_sub 0
FlxC_to_ZXC 104060
FlxM_Fl_translate 0
FlxM_Flx_add_shallow 0
FlxM_Flx_mul2 26000
FlxM_eval_powers_pre 22302
FlxM_max_degree 0
FlxM_max_degree_i 0
FlxM_mul 0
FlxM_mul2 7099
FlxM_mul_Kronecker_i 81581
FlxM_neg 0
FlxM_pack_ZM 46835
FlxM_pack_ZM_bits 116239
FlxM_sub 0
FlxM_to_FlxXV 0
FlxM_to_ZXM 2485
FlxT_red 296732
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28966
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171883
FlxV_to_Flm_lg 12989355
FlxV_to_FlxX 397977
FlxV_to_ZXV 606931
FlxV_to_ZXV_inplace 3032226
Flx_Fl2_eval_pre 10773
Flx_Fl_add 10031096
Flx_Fl_mul 7328621
Flx_Fl_mul_pre 18298861
Flx_Fl_mul_to_monic 12030940
Flx_Fl_sub 151856
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1786302
Flx_FlxM_qmul 6926
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13187781
Flx_Flxq_eval 791731
Flx_Flxq_eval_pre 2449865
Flx_Frobenius 86486
Flx_Frobenius_pre 13819633
Flx_Laplace 27340
Flx_Newton 54103
Flx_add 64924741
Flx_addmulmul 416800
Flx_addshift 3728641
Flx_addspec 7257702
Flx_blocks 516773
Flx_blocks_Flm 12988255
Flx_composedprod 0
Flx_composedsum 27545
Flx_convol 0
Flx_deflate 421055
Flx_deriv 22989879
Flx_diff1 14448
Flx_digits 0
Flx_div_by_X_x 34757052
Flx_divrem 30449773
Flx_divrem_Barrett 605327
Flx_divrem_Barrettspec 906277
Flx_divrem_basecase 62330140
Flx_divrem_pre 79760054
Flx_double 2445177
Flx_equal 26925239
Flx_eval 20412494
Flx_eval2BILspec 579103
Flx_eval_powers_pre 48635716
Flx_eval_pre 136367433
Flx_extgcd 857304
Flx_extgcd_basecase 6289848
Flx_extgcd_halfgcd 146650
Flx_extgcd_pre 6289851
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109398
Flx_gcd 34265227
Flx_gcd_basecase 85204041
Flx_gcd_pre 86870618
Flx_get_red 14511574
Flx_get_red_pre 97344180
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1129925
Flx_halfgcd_all_pre 1129929
Flx_halfgcd_pre 876278
Flx_halfres_basecase 1137000
Flx_halfres_i 1156968
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14047
Flx_inflate 160899
Flx_integ 0
Flx_integXn 422732
Flx_invBarrett 0
Flx_invBarrett_Newton 23160
Flx_invBarrett_basecase 134339
Flx_invBarrett_pre 158799
Flx_invLaplace 54359
Flx_is_l_pow 8166
Flx_is_smooth 74256
Flx_is_smooth_pre 118506
Flx_is_smooth_squarefree 126622
Flx_is_squarefree 9184367
Flx_lgrenormalizespec 2134937
Flx_matFrobenius 0
Flx_matFrobenius_pre 86571
Flx_mod_Xn1 31771
Flx_mod_Xnm1 5056899
Flx_mul 27829047
Flx_mul_pre 377133228
Flx_mulhigh_i 938410
Flx_mullimb 1187826884
Flx_mullimb_ok 3377353329
Flx_mulspec 382839936
Flx_mulspec_Kronecker 7294424
Flx_mulspec_basecase 345469173
Flx_mulspec_halfmulii 5484
Flx_mulspec_mulii 10146
Flx_mulspec_mulii_inflate 282096
Flx_mulspec_quartmulii 97167
Flx_neg 3265108
Flx_neg_inplace 1778757
Flx_negspec 3265103
Flx_normalize 63999296
Flx_powu 0
Flx_powu_pre 3956
Flx_recip 0
Flx_recipspec 7306904
Flx_red 1883072
Flx_rem 42220988
Flx_rem_basecase 801325844
Flx_rem_pre 925513995
Flx_renormalize 2152894238
Flx_rescale 1117
Flx_resultant 4735977
Flx_resultant_basecase_pre 14622091
Flx_resultant_pre 14624160
Flx_shift 27422953
Flx_shiftip 632539508
Flx_splitting 147610
Flx_sqr 354691
Flx_sqr_pre 278541949
Flx_sqrspec 278880074
Flx_sqrspec_Kronecker 691183
Flx_sqrspec_basecase 278912040
Flx_sqrspec_halfsqri 325
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2068
Flx_sqrspec_sqri_inflate 11522
Flx_sub 138711600
Flx_subspec 898624
Flx_to_Flv 66713767
Flx_to_FlxX 71643
Flx_to_ZX 38307095
Flx_to_ZX_inplace 36570321
Flx_to_int_halfspec 468821
Flx_to_int_quartspec 204552
Flx_translate1 17108
Flx_translate1_basecase 29202
Flx_triple 1049887
Flx_unscale 0
Flx_val 4495876
Flx_valrem 27438539
Flxn_div 55147
Flxn_div_pre 55179
Flxn_exp 0
Flxn_expint 109402
Flxn_inv 1037
Flxn_mul 75844
Flxn_mul_pre 5167826
Flxn_mulhigh 516659
Flxn_recip 217291
Flxn_red 6338848
Flxn_sqr 0
Flxn_sqr_pre 0
FlxqC_Flxq_mul 0
FlxqC_red_pre 234845
FlxqM_Flxq_mul 0
FlxqM_mul_Kronecker 81581
FlxqM_red_pre 81581
FlxqV_dotproduct 0
FlxqV_dotproduct_pre 113589
FlxqX_dotproduct 1918
Flxq_autpow 7
Flxq_autpow_msqr 20696
Flxq_autpow_pre 69451
Flxq_autpow_sqr 47315
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112480
Flxq_autsum_pre 98770
Flxq_autsum_sqr 105116
Flxq_auttrace 0
Flxq_auttrace_mul 782930
Flxq_auttrace_pre 962895
Flxq_auttrace_sqr 655401
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417764
Flxq_easylog 519389
Flxq_inv 335767
Flxq_inv_pre 4287582
Flxq_invsafe 670757
Flxq_invsafe_pre 5432567
Flxq_is2npower 0
Flxq_issquare 404492
Flxq_log 164217
Flxq_lroot 0
Flxq_lroot_fast 0
Flxq_lroot_fast_pre 113589
Flxq_lroot_pre 25053
Flxq_matrix_pow 399
Flxq_matrix_pow_pre 170665
Flxq_minpoly 45993
Flxq_minpoly_pre 812472
Flxq_mul 13192552
Flxq_mul_pre 189038562
Flxq_norm 443323
Flxq_order 97328
Flxq_pow 948370
Flxq_pow_Frobenius 22379389
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23442942
Flxq_pow_table 0
Flxq_pow_table_pre 4394
Flxq_powers 232070
Flxq_powers_pre 22454183
Flxq_powu 488418
Flxq_powu_pre 24368463
Flxq_sqr 2763156
Flxq_sqr_pre 277576861
Flxq_sqrt 230484
Flxq_sqrt_pre 230484
Flxq_sqrtl_spec_pre 37666
Flxq_sqrtn 23094
Flxq_sqrtn_spec_pre 21901
Flxq_sumautsum_msqr 40915
Flxq_sumautsum_pre 210713
Flxq_sumautsum_sqr 295314
Flxq_trace 4696
Flxq_transmul 4227487
Flxq_transmul_init 1752497
RgXV_to_FlxV 7
RgX_to_Flx 2250310
Rg_to_F2 1710396
Rg_to_Fl 73223200
Rg_to_Flxq 3598684
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3814114
ZXV_to_FlxV 0
ZX_to_Flx 171019468
Z_mod2BIL_Flx 293618
Z_mod2BIL_Flx_2 296548
Z_mod2BIL_Flx_3 0
Z_to_Flx 7561633
ZpX_invLaplace_init 497
_Fl2_mul 1983112
_Fl2_pow 689221
_Fl2_rand 118132
_Fl2_sqr 5068518
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11008819
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 147831388
_Flxq_neg 366572
_Flxq_one 22453956
_Flxq_pow 22371979
_Flxq_powu 68
_Flxq_powu_i 23113957
_Flxq_rand 6557
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 269761703
bounded_order 395380
gener_Flxq 7201
get_Fl_threshold 2327600554
get_Flx_red 989524882
get_Flxq_field 68902
get_Flxq_star 283445
init_invlaplace 12514
int_to_Flx 12216
int_to_Flx_half 507268
int_to_Flx_quart 107385
kron_pack_Flx_spec 53168
kron_pack_Flx_spec_2 3389
kron_pack_Flx_spec_3 0
kron_pack_Flx_spec_bits 20873231
kron_pack_Flx_spec_half 688104
kron_unpack_Flx 42785
kron_unpack_Flx_2 2930
kron_unpack_Flx_3 0
kron_unpack_Flx_bits_narrow 5659389
kron_unpack_Flx_bits_wide 5608073
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8408271
mkF2 7551304
monomial_Flx 944623
random_Flx 2652208
set_Flxq 68922
set_Flxq_pre 69561016
translate_basecase 42367
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6540640

Generated by: LCOV version 1.16