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 30568-0d72d66ef5) Lines: 2553 2925 87.3 %
Date: 2025-12-01 09:22:22 Functions: 304 363 83.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 462707
Fl2_inv_pre 202027
Fl2_mul_pre 2013832
Fl2_norm_pre 128216
Fl2_pow_pre 690259
Fl2_sqr_pre 5070022
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 78422
Fl_Flxq_log 35545
Fl_Xp1_powu 0
Fl_to_Flx 21212688
Flm_to_FlxV 2772
FlvV_polint_tree 2540971
Flv_Flm_polint 103493
Flv_inv 1744791
Flv_invVandermonde 153445
Flv_inv_i 1756803
Flv_inv_indir 51280
Flv_inv_inplace 12017
Flv_inv_pre 10049
Flv_inv_pre_indir 21359408
Flv_inv_pre_inplace 19625947
Flv_polint 1486582
Flv_prod 0
Flv_prod_pre 3304
Flv_producttree 1746003
Flv_roots_to_pol 795716
Flv_to_Flx 25522102
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 325153
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 296723
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 171880
FlxV_to_Flm_lg 12989648
FlxV_to_FlxX 397977
FlxV_to_ZXV 606935
FlxV_to_ZXV_inplace 3032215
Flx_Fl2_eval_pre 10773
Flx_Fl_add 10032071
Flx_Fl_mul 7327667
Flx_Fl_mul_pre 18298377
Flx_Fl_mul_to_monic 12030124
Flx_Fl_sub 151855
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1786307
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13188027
Flx_Flxq_eval 791737
Flx_Flxq_eval_pre 2449826
Flx_Frobenius 86485
Flx_Frobenius_pre 13819718
Flx_Laplace 27336
Flx_Newton 54093
Flx_add 64926316
Flx_addmulmul 416797
Flx_addshift 3728641
Flx_addspec 7257702
Flx_blocks 516900
Flx_blocks_Flm 12988522
Flx_composedprod 0
Flx_composedsum 27546
Flx_convol 0
Flx_deflate 421058
Flx_deriv 22990536
Flx_diff1 14448
Flx_digits 0
Flx_div_by_X_x 34761424
Flx_divrem 30450766
Flx_divrem_Barrett 605321
Flx_divrem_Barrettspec 905945
Flx_divrem_basecase 62332284
Flx_divrem_pre 79762697
Flx_double 2445177
Flx_equal 26505204
Flx_eval 20407269
Flx_eval2BILspec 579101
Flx_eval_powers_pre 48542488
Flx_eval_pre 136351407
Flx_extgcd 857305
Flx_extgcd_basecase 6289716
Flx_extgcd_halfgcd 146649
Flx_extgcd_pre 6289713
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109404
Flx_gcd 34255744
Flx_gcd_basecase 85197747
Flx_gcd_pre 86860301
Flx_get_red 14511775
Flx_get_red_pre 96917210
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1129855
Flx_halfgcd_all_pre 1129855
Flx_halfgcd_pre 876011
Flx_halfres_basecase 1136933
Flx_halfres_i 1156900
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14047
Flx_inflate 160696
Flx_integ 0
Flx_integXn 422744
Flx_invBarrett 0
Flx_invBarrett_Newton 23161
Flx_invBarrett_basecase 134340
Flx_invBarrett_pre 158801
Flx_invLaplace 54366
Flx_is_l_pow 8203
Flx_is_smooth 74256
Flx_is_smooth_pre 118717
Flx_is_smooth_squarefree 126867
Flx_is_squarefree 9184451
Flx_lgrenormalizespec 2134560
Flx_matFrobenius 0
Flx_matFrobenius_pre 86567
Flx_mod_Xn1 31767
Flx_mod_Xnm1 5057331
Flx_mul 27832159
Flx_mul_pre 376196108
Flx_mulhigh_i 938593
Flx_mullimb 1187576187
Flx_mullimb_ok 3361889638
Flx_mulspec 381894416
Flx_mulspec_Kronecker 7296364
Flx_mulspec_basecase 344544124
Flx_mulspec_halfmulii 5484
Flx_mulspec_mulii 10143
Flx_mulspec_mulii_inflate 282095
Flx_mulspec_quartmulii 97173
Flx_neg 3264948
Flx_neg_inplace 1778757
Flx_negspec 3264949
Flx_normalize 63992492
Flx_powu 0
Flx_powu_pre 3955
Flx_recip 0
Flx_recipspec 7304811
Flx_red 1883137
Flx_rem 42211939
Flx_rem_basecase 800198415
Flx_rem_pre 924022749
Flx_renormalize 2150080131
Flx_rescale 1117
Flx_resultant 4736168
Flx_resultant_basecase_pre 14621194
Flx_resultant_pre 14623527
Flx_shift 27421653
Flx_shiftip 631075180
Flx_splitting 147611
Flx_sqr 354689
Flx_sqr_pre 277961686
Flx_sqrspec 278338541
Flx_sqrspec_Kronecker 691190
Flx_sqrspec_basecase 278357732
Flx_sqrspec_halfsqri 325
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2068
Flx_sqrspec_sqri_inflate 11522
Flx_sub 138717089
Flx_subspec 898392
Flx_to_Flv 66714310
Flx_to_FlxX 71641
Flx_to_ZX 38308069
Flx_to_ZX_inplace 36572237
Flx_to_int_halfspec 468821
Flx_to_int_quartspec 204566
Flx_translate1 17108
Flx_translate1_basecase 29202
Flx_triple 1049887
Flx_unscale 0
Flx_val 4486792
Flx_valrem 27441698
Flxn_div 55157
Flxn_div_pre 55191
Flxn_exp 0
Flxn_expint 109400
Flxn_inv 1037
Flxn_mul 75845
Flxn_mul_pre 5168475
Flxn_mulhigh 516811
Flxn_recip 217308
Flxn_red 6339671
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 69449
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 783095
Flxq_auttrace_pre 963001
Flxq_auttrace_sqr 655545
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417764
Flxq_easylog 519357
Flxq_inv 335765
Flxq_inv_pre 4287529
Flxq_invsafe 670719
Flxq_invsafe_pre 5432436
Flxq_is2npower 0
Flxq_issquare 404492
Flxq_log 164216
Flxq_lroot 0
Flxq_lroot_fast 0
Flxq_lroot_fast_pre 113589
Flxq_lroot_pre 25053
Flxq_matrix_pow 399
Flxq_matrix_pow_pre 170667
Flxq_minpoly 45993
Flxq_minpoly_pre 812381
Flxq_mul 13192518
Flxq_mul_pre 188116290
Flxq_norm 443327
Flxq_order 97328
Flxq_pow 948376
Flxq_pow_Frobenius 21953925
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23017519
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232073
Flxq_powers_pre 22455203
Flxq_powu 488425
Flxq_powu_pre 24369419
Flxq_sqr 2763155
Flxq_sqr_pre 277003396
Flxq_sqrt 230484
Flxq_sqrt_pre 230484
Flxq_sqrtl_spec_pre 37667
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 4226700
Flxq_transmul_init 1752015
RgXV_to_FlxV 7
RgX_to_Flx 2250311
Rg_to_F2 1710394
Rg_to_Fl 73222921
Rg_to_Flxq 3598730
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3814187
ZXV_to_FlxV 0
ZX_to_Flx 171025444
Z_mod2BIL_Flx 293617
Z_mod2BIL_Flx_2 296547
Z_mod2BIL_Flx_3 0
Z_to_Flx 7561524
ZpX_invLaplace_init 497
_Fl2_mul 1984813
_Fl2_pow 690244
_Fl2_rand 118255
_Fl2_sqr 5070047
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11010451
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 146909963
_Flxq_neg 366572
_Flxq_one 22453746
_Flxq_pow 21946519
_Flxq_powu 68
_Flxq_powu_i 23113042
_Flxq_rand 6564
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 269202586
bounded_order 395383
gener_Flxq 7201
get_Fl_threshold 2322555969
get_Flx_red 988094086
get_Flxq_field 68902
get_Flxq_star 283444
init_invlaplace 12514
int_to_Flx 12217
int_to_Flx_half 507268
int_to_Flx_quart 107396
kron_pack_Flx_spec 53168
kron_pack_Flx_spec_2 3389
kron_pack_Flx_spec_3 0
kron_pack_Flx_spec_bits 20877278
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 5659417
kron_unpack_Flx_bits_wide 5610166
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8410221
mkF2 7554534
monomial_Flx 944352
random_Flx 2652095
set_Flxq 68922
set_Flxq_pre 69134909
translate_basecase 42367
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6526979

Generated by: LCOV version 1.16