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 30572-91e0396466) Lines: 2553 2925 87.3 %
Date: 2025-12-14 09:22:17 Functions: 304 363 83.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 462570
Fl2_inv_pre 201917
Fl2_mul_pre 2014021
Fl2_norm_pre 128177
Fl2_pow_pre 690022
Fl2_sqr_pre 5073544
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 78369
Fl_Flxq_log 35536
Fl_Xp1_powu 0
Fl_to_Flx 21221574
Flm_to_FlxV 2772
FlvV_polint_tree 2540765
Flv_Flm_polint 103492
Flv_inv 1744772
Flv_invVandermonde 153445
Flv_inv_i 1756783
Flv_inv_indir 51279
Flv_inv_inplace 12017
Flv_inv_pre 10047
Flv_inv_pre_indir 21423724
Flv_inv_pre_inplace 19700138
Flv_polint 1486564
Flv_prod 0
Flv_prod_pre 3304
Flv_producttree 1745978
Flv_roots_to_pol 795664
Flv_to_Flx 25521724
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 325150
FlxC_neg 0
FlxC_sub 0
FlxC_to_ZXC 104060
FlxM_Fl_translate 0
FlxM_Flx_add_shallow 0
FlxM_Flx_mul2 25998
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 295159
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28963
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171878
FlxV_to_Flm_lg 12989773
FlxV_to_FlxX 397977
FlxV_to_ZXV 606931
FlxV_to_ZXV_inplace 3032228
Flx_Fl2_eval_pre 10773
Flx_Fl_add 10033492
Flx_Fl_mul 7327450
Flx_Fl_mul_pre 18298970
Flx_Fl_mul_to_monic 12030553
Flx_Fl_sub 151856
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1786271
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13188266
Flx_Flxq_eval 791732
Flx_Flxq_eval_pre 2449841
Flx_Frobenius 86484
Flx_Frobenius_pre 13820668
Flx_Laplace 27342
Flx_Newton 54104
Flx_add 64934625
Flx_addmulmul 416797
Flx_addshift 3728641
Flx_addspec 7257702
Flx_blocks 516833
Flx_blocks_Flm 12988525
Flx_composedprod 0
Flx_composedsum 27549
Flx_convol 0
Flx_deflate 421070
Flx_deriv 22991658
Flx_diff1 14448
Flx_digits 0
Flx_div_by_X_x 34758649
Flx_divrem 30451407
Flx_divrem_Barrett 604904
Flx_divrem_Barrettspec 905531
Flx_divrem_basecase 62338669
Flx_divrem_pre 79769570
Flx_double 2445177
Flx_equal 27628044
Flx_eval 20421623
Flx_eval2BILspec 579087
Flx_eval_powers_pre 48603562
Flx_eval_pre 136378015
Flx_extgcd 857310
Flx_extgcd_basecase 6289779
Flx_extgcd_halfgcd 146650
Flx_extgcd_pre 6289773
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109398
Flx_gcd 34266234
Flx_gcd_basecase 85214433
Flx_gcd_pre 86879826
Flx_get_red 14513174
Flx_get_red_pre 98041036
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1130380
Flx_halfgcd_all_pre 1130381
Flx_halfgcd_pre 876139
Flx_halfres_basecase 1137455
Flx_halfres_i 1157424
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14047
Flx_inflate 160560
Flx_integ 0
Flx_integXn 422717
Flx_invBarrett 0
Flx_invBarrett_Newton 23160
Flx_invBarrett_basecase 134340
Flx_invBarrett_pre 158800
Flx_invLaplace 54357
Flx_is_l_pow 8242
Flx_is_smooth 74256
Flx_is_smooth_pre 119003
Flx_is_smooth_squarefree 127399
Flx_is_squarefree 9184349
Flx_lgrenormalizespec 2133669
Flx_matFrobenius 0
Flx_matFrobenius_pre 86566
Flx_mod_Xn1 31771
Flx_mod_Xnm1 5057086
Flx_mul 27838682
Flx_mul_pre 378572248
Flx_mulhigh_i 938540
Flx_mullimb 1188316553
Flx_mullimb_ok 3397971731
Flx_mulspec 384281411
Flx_mulspec_Kronecker 7293427
Flx_mulspec_basecase 346893544
Flx_mulspec_halfmulii 5484
Flx_mulspec_mulii 10147
Flx_mulspec_mulii_inflate 282088
Flx_mulspec_quartmulii 97179
Flx_neg 3264660
Flx_neg_inplace 1778757
Flx_negspec 3264643
Flx_normalize 64001394
Flx_powu 0
Flx_powu_pre 3931
Flx_recip 0
Flx_recipspec 7304455
Flx_red 1881696
Flx_rem 42220389
Flx_rem_basecase 803734907
Flx_rem_pre 927863137
Flx_renormalize 2158037011
Flx_rescale 1117
Flx_resultant 4736167
Flx_resultant_basecase_pre 14621691
Flx_resultant_pre 14623885
Flx_shift 27422565
Flx_shiftip 634858151
Flx_splitting 147440
Flx_sqr 354664
Flx_sqr_pre 279347034
Flx_sqrspec 279699272
Flx_sqrspec_Kronecker 691184
Flx_sqrspec_basecase 279698680
Flx_sqrspec_halfsqri 325
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2069
Flx_sqrspec_sqri_inflate 11522
Flx_sub 138726701
Flx_subspec 898009
Flx_to_Flv 66714925
Flx_to_FlxX 71643
Flx_to_ZX 38307395
Flx_to_ZX_inplace 36572268
Flx_to_int_halfspec 468821
Flx_to_int_quartspec 204576
Flx_translate1 17108
Flx_translate1_basecase 29202
Flx_triple 1049887
Flx_unscale 0
Flx_val 4491776
Flx_valrem 27445207
Flxn_div 55142
Flxn_div_pre 55171
Flxn_exp 0
Flxn_expint 109401
Flxn_inv 1037
Flxn_mul 75842
Flxn_mul_pre 5168153
Flxn_mulhigh 516724
Flxn_recip 217313
Flxn_red 6339370
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 69450
Flxq_autpow_sqr 47313
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112472
Flxq_autsum_pre 98768
Flxq_autsum_sqr 105110
Flxq_auttrace 0
Flxq_auttrace_mul 783062
Flxq_auttrace_pre 962977
Flxq_auttrace_sqr 655507
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417764
Flxq_easylog 519337
Flxq_inv 335769
Flxq_inv_pre 4287510
Flxq_invsafe 670753
Flxq_invsafe_pre 5432490
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 170658
Flxq_minpoly 45993
Flxq_minpoly_pre 812478
Flxq_mul 13192509
Flxq_mul_pre 190440629
Flxq_norm 443333
Flxq_order 97328
Flxq_pow 948405
Flxq_pow_Frobenius 23069262
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 24132899
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232069
Flxq_powers_pre 22456951
Flxq_powu 488420
Flxq_powu_pre 24372034
Flxq_sqr 2763153
Flxq_sqr_pre 278388103
Flxq_sqrt 230484
Flxq_sqrt_pre 230484
Flxq_sqrtl_spec_pre 37667
Flxq_sqrtn 23095
Flxq_sqrtn_spec_pre 21900
Flxq_sumautsum_msqr 40915
Flxq_sumautsum_pre 210713
Flxq_sumautsum_sqr 295314
Flxq_trace 4696
Flxq_transmul 4227219
Flxq_transmul_init 1752243
RgXV_to_FlxV 7
RgX_to_Flx 2250315
Rg_to_F2 1710364
Rg_to_Fl 73223684
Rg_to_Flxq 3598802
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3813782
ZXV_to_FlxV 0
ZX_to_Flx 171020039
Z_mod2BIL_Flx 293610
Z_mod2BIL_Flx_2 296540
Z_mod2BIL_Flx_3 0
Z_to_Flx 7561452
ZpX_invLaplace_init 497
_Fl2_mul 1984992
_Fl2_pow 690019
_Fl2_rand 118286
_Fl2_sqr 5073577
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11012184
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 149233521
_Flxq_neg 366572
_Flxq_one 22457103
_Flxq_pow 23061854
_Flxq_powu 68
_Flxq_powu_i 23116962
_Flxq_rand 6556
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 270585206
bounded_order 395377
gener_Flxq 7201
get_Fl_threshold 2335383932
get_Flx_red 991935561
get_Flxq_field 68902
get_Flxq_star 283446
init_invlaplace 12514
int_to_Flx 12215
int_to_Flx_half 507268
int_to_Flx_quart 107397
kron_pack_Flx_spec 53168
kron_pack_Flx_spec_2 3389
kron_pack_Flx_spec_3 0
kron_pack_Flx_spec_bits 20871153
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 5658110
kron_unpack_Flx_bits_wide 5608506
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8407093
mkF2 7558230
monomial_Flx 944484
random_Flx 2652185
set_Flxq 68922
set_Flxq_pre 70257925
translate_basecase 42367
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6533135

Generated by: LCOV version 1.16