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 30558-88b7dc3357) Lines: 2553 2925 87.3 %
Date: 2025-11-26 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 462328
Fl2_inv_pre 201935
Fl2_mul_pre 2014302
Fl2_norm_pre 128215
Fl2_pow_pre 689777
Fl2_sqr_pre 5074727
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 78406
Fl_Flxq_log 35556
Fl_Xp1_powu 0
Fl_to_Flx 21230073
Flm_to_FlxV 2772
FlvV_polint_tree 2540780
Flv_Flm_polint 103491
Flv_inv 1744796
Flv_invVandermonde 153445
Flv_inv_i 1756806
Flv_inv_indir 51281
Flv_inv_inplace 12017
Flv_inv_pre 10047
Flv_inv_pre_indir 21405861
Flv_inv_pre_inplace 19668312
Flv_polint 1486586
Flv_prod 0
Flv_prod_pre 3304
Flv_producttree 1746001
Flv_roots_to_pol 795638
Flv_to_Flx 25513079
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 325147
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 291557
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28956
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171887
FlxV_to_Flm_lg 12983994
FlxV_to_FlxX 397977
FlxV_to_ZXV 606918
FlxV_to_ZXV_inplace 3031416
Flx_Fl2_eval_pre 10773
Flx_Fl_add 10032284
Flx_Fl_mul 7326573
Flx_Fl_mul_pre 18296086
Flx_Fl_mul_to_monic 12029147
Flx_Fl_sub 151842
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1786303
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13182658
Flx_Flxq_eval 791691
Flx_Flxq_eval_pre 2448957
Flx_Frobenius 86484
Flx_Frobenius_pre 13814592
Flx_Laplace 27342
Flx_Newton 54093
Flx_add 64926366
Flx_addmulmul 416798
Flx_addshift 3728641
Flx_addspec 7257702
Flx_blocks 517145
Flx_blocks_Flm 12982568
Flx_composedprod 0
Flx_composedsum 27551
Flx_convol 0
Flx_deflate 421014
Flx_deriv 22986871
Flx_diff1 14448
Flx_digits 0
Flx_div_by_X_x 34734494
Flx_divrem 30449697
Flx_divrem_Barrett 603920
Flx_divrem_Barrettspec 905031
Flx_divrem_basecase 62312925
Flx_divrem_pre 79747721
Flx_double 2445177
Flx_equal 26934114
Flx_eval 20394057
Flx_eval2BILspec 579081
Flx_eval_powers_pre 48608411
Flx_eval_pre 136362749
Flx_extgcd 857236
Flx_extgcd_basecase 6289670
Flx_extgcd_halfgcd 146652
Flx_extgcd_pre 6289668
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109393
Flx_gcd 34255662
Flx_gcd_basecase 85178192
Flx_gcd_pre 86850290
Flx_get_red 14504968
Flx_get_red_pre 97329697
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1129438
Flx_halfgcd_all_pre 1129441
Flx_halfgcd_pre 875722
Flx_halfres_basecase 1136514
Flx_halfres_i 1156482
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14047
Flx_inflate 159893
Flx_integ 0
Flx_integXn 422753
Flx_invBarrett 0
Flx_invBarrett_Newton 23160
Flx_invBarrett_basecase 134339
Flx_invBarrett_pre 158799
Flx_invLaplace 54353
Flx_is_l_pow 8135
Flx_is_smooth 74256
Flx_is_smooth_pre 118115
Flx_is_smooth_squarefree 126256
Flx_is_squarefree 9184032
Flx_lgrenormalizespec 2131898
Flx_matFrobenius 0
Flx_matFrobenius_pre 86571
Flx_mod_Xn1 31765
Flx_mod_Xnm1 5056879
Flx_mul 27825191
Flx_mul_pre 377393527
Flx_mulhigh_i 938761
Flx_mullimb 1188235515
Flx_mullimb_ok 3382620975
Flx_mulspec 382977453
Flx_mulspec_Kronecker 7290792
Flx_mulspec_basecase 345294857
Flx_mulspec_halfmulii 5484
Flx_mulspec_mulii 10146
Flx_mulspec_mulii_inflate 282085
Flx_mulspec_quartmulii 97163
Flx_neg 3263747
Flx_neg_inplace 1778757
Flx_negspec 3263735
Flx_normalize 63954167
Flx_powu 0
Flx_powu_pre 3874
Flx_recip 0
Flx_recipspec 7300846
Flx_red 1878386
Flx_rem 42213153
Flx_rem_basecase 801646205
Flx_rem_pre 926294973
Flx_renormalize 2152604701
Flx_rescale 1117
Flx_resultant 4735314
Flx_resultant_basecase_pre 14622084
Flx_resultant_pre 14624009
Flx_shift 27413633
Flx_shiftip 633413778
Flx_splitting 147033
Flx_sqr 354570
Flx_sqr_pre 279623617
Flx_sqrspec 279810469
Flx_sqrspec_Kronecker 691115
Flx_sqrspec_basecase 279004951
Flx_sqrspec_halfsqri 325
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2070
Flx_sqrspec_sqri_inflate 11522
Flx_sub 138693412
Flx_subspec 897263
Flx_to_Flv 66694543
Flx_to_FlxX 71629
Flx_to_ZX 38304199
Flx_to_ZX_inplace 36570341
Flx_to_int_halfspec 468821
Flx_to_int_quartspec 204544
Flx_translate1 17108
Flx_translate1_basecase 29202
Flx_triple 1049887
Flx_unscale 0
Flx_val 4489501
Flx_valrem 27417500
Flxn_div 55177
Flxn_div_pre 55194
Flxn_exp 0
Flxn_expint 109383
Flxn_inv 1037
Flxn_mul 75830
Flxn_mul_pre 5168239
Flxn_mulhigh 517078
Flxn_recip 217383
Flxn_red 6339491
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 20698
Flxq_autpow_pre 69460
Flxq_autpow_sqr 47327
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112490
Flxq_autsum_pre 98774
Flxq_autsum_sqr 105124
Flxq_auttrace 0
Flxq_auttrace_mul 782828
Flxq_auttrace_pre 962569
Flxq_auttrace_sqr 655313
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417764
Flxq_easylog 519388
Flxq_inv 335769
Flxq_inv_pre 4287563
Flxq_invsafe 670711
Flxq_invsafe_pre 5432447
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 170666
Flxq_minpoly 45979
Flxq_minpoly_pre 812081
Flxq_mul 13192532
Flxq_mul_pre 189229032
Flxq_norm 443327
Flxq_order 97328
Flxq_pow 948418
Flxq_pow_Frobenius 22390107
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23453717
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232076
Flxq_powers_pre 22445655
Flxq_powu 488422
Flxq_powu_pre 24361247
Flxq_sqr 2763153
Flxq_sqr_pre 278618013
Flxq_sqrt 230484
Flxq_sqrt_pre 230484
Flxq_sqrtl_spec_pre 37667
Flxq_sqrtn 23095
Flxq_sqrtn_spec_pre 21901
Flxq_sumautsum_msqr 40915
Flxq_sumautsum_pre 210713
Flxq_sumautsum_sqr 295314
Flxq_trace 4696
Flxq_transmul 4225244
Flxq_transmul_init 1751427
RgXV_to_FlxV 7
RgX_to_Flx 2250320
Rg_to_F2 1710288
Rg_to_Fl 73223149
Rg_to_Flxq 3598629
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3812833
ZXV_to_FlxV 0
ZX_to_Flx 171013239
Z_mod2BIL_Flx 293607
Z_mod2BIL_Flx_2 296537
Z_mod2BIL_Flx_3 0
Z_to_Flx 7561533
ZpX_invLaplace_init 497
_Fl2_mul 1985254
_Fl2_pow 689766
_Fl2_rand 118283
_Fl2_sqr 5074683
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11008503
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 147967921
_Flxq_neg 366572
_Flxq_one 22441879
_Flxq_pow 22382695
_Flxq_powu 68
_Flxq_powu_i 23106019
_Flxq_rand 6584
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 270575681
bounded_order 395406
gener_Flxq 7201
get_Fl_threshold 2329222491
get_Flx_red 990347022
get_Flxq_field 68902
get_Flxq_star 283446
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 20865846
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 5655131
kron_unpack_Flx_bits_wide 5609932
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8404363
mkF2 7560816
monomial_Flx 944069
random_Flx 2651331
set_Flxq 68922
set_Flxq_pre 69556424
translate_basecase 42367
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6534024

Generated by: LCOV version 1.16