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: 2025-12-13 09:22:30 Functions: 304 363 83.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 462488
Fl2_inv_pre 201954
Fl2_mul_pre 2013604
Fl2_norm_pre 128153
Fl2_pow_pre 690035
Fl2_sqr_pre 5071469
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 78399
Fl_Flxq_log 35537
Fl_Xp1_powu 0
Fl_to_Flx 21215818
Flm_to_FlxV 2772
FlvV_polint_tree 2540732
Flv_Flm_polint 103491
Flv_inv 1744802
Flv_invVandermonde 153445
Flv_inv_i 1756816
Flv_inv_indir 51283
Flv_inv_inplace 12017
Flv_inv_pre 10047
Flv_inv_pre_indir 21403017
Flv_inv_pre_inplace 19671605
Flv_polint 1486583
Flv_prod 0
Flv_prod_pre 3304
Flv_producttree 1745998
Flv_roots_to_pol 795650
Flv_to_Flx 25521483
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 325157
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 297236
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28967
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171880
FlxV_to_Flm_lg 12989284
FlxV_to_FlxX 397977
FlxV_to_ZXV 606925
FlxV_to_ZXV_inplace 3032261
Flx_Fl2_eval_pre 10773
Flx_Fl_add 10030964
Flx_Fl_mul 7328445
Flx_Fl_mul_pre 18299301
Flx_Fl_mul_to_monic 12030109
Flx_Fl_sub 151859
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1786308
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13187811
Flx_Flxq_eval 791715
Flx_Flxq_eval_pre 2449788
Flx_Frobenius 86485
Flx_Frobenius_pre 13820055
Flx_Laplace 27338
Flx_Newton 54110
Flx_add 64929507
Flx_addmulmul 416800
Flx_addshift 3728641
Flx_addspec 7257702
Flx_blocks 516879
Flx_blocks_Flm 12988196
Flx_composedprod 0
Flx_composedsum 27550
Flx_convol 0
Flx_deflate 421061
Flx_deriv 22990545
Flx_diff1 14448
Flx_digits 0
Flx_div_by_X_x 34760481
Flx_divrem 30451664
Flx_divrem_Barrett 605471
Flx_divrem_Barrettspec 905920
Flx_divrem_basecase 62336535
Flx_divrem_pre 79767358
Flx_double 2445177
Flx_equal 28430622
Flx_eval 20420991
Flx_eval2BILspec 579087
Flx_eval_powers_pre 48617278
Flx_eval_pre 136383726
Flx_extgcd 857311
Flx_extgcd_basecase 6289837
Flx_extgcd_halfgcd 146656
Flx_extgcd_pre 6289830
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109399
Flx_gcd 34267941
Flx_gcd_basecase 85211506
Flx_gcd_pre 86877058
Flx_get_red 14512392
Flx_get_red_pre 98845771
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1130121
Flx_halfgcd_all_pre 1130125
Flx_halfgcd_pre 876100
Flx_halfres_basecase 1137198
Flx_halfres_i 1157165
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14047
Flx_inflate 160714
Flx_integ 0
Flx_integXn 422742
Flx_invBarrett 0
Flx_invBarrett_Newton 23160
Flx_invBarrett_basecase 134337
Flx_invBarrett_pre 158798
Flx_invLaplace 54372
Flx_is_l_pow 8215
Flx_is_smooth 74256
Flx_is_smooth_pre 118736
Flx_is_smooth_squarefree 126933
Flx_is_squarefree 9184619
Flx_lgrenormalizespec 2134560
Flx_matFrobenius 0
Flx_matFrobenius_pre 86570
Flx_mod_Xn1 31768
Flx_mod_Xnm1 5057453
Flx_mul 27835714
Flx_mul_pre 380153977
Flx_mulhigh_i 938615
Flx_mullimb 1188282139
Flx_mullimb_ok 3425432933
Flx_mulspec 385867142
Flx_mulspec_Kronecker 7295018
Flx_mulspec_basecase 348494922
Flx_mulspec_halfmulii 5484
Flx_mulspec_mulii 10137
Flx_mulspec_mulii_inflate 282088
Flx_mulspec_quartmulii 97167
Flx_neg 3265124
Flx_neg_inplace 1778757
Flx_negspec 3265119
Flx_normalize 63997505
Flx_powu 0
Flx_powu_pre 3964
Flx_recip 0
Flx_recipspec 7305120
Flx_red 1883580
Flx_rem 42219833
Flx_rem_basecase 806052067
Flx_rem_pre 930144748
Flx_renormalize 2162413641
Flx_rescale 1117
Flx_resultant 4736049
Flx_resultant_basecase_pre 14622498
Flx_resultant_pre 14624595
Flx_shift 27421677
Flx_shiftip 637098699
Flx_splitting 147665
Flx_sqr 354703
Flx_sqr_pre 279980211
Flx_sqrspec 280326991
Flx_sqrspec_Kronecker 691215
Flx_sqrspec_basecase 280422355
Flx_sqrspec_halfsqri 325
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2067
Flx_sqrspec_sqri_inflate 11522
Flx_sub 138723064
Flx_subspec 898431
Flx_to_Flv 66713521
Flx_to_FlxX 71643
Flx_to_ZX 38307918
Flx_to_ZX_inplace 36574667
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 4494390
Flx_valrem 27439067
Flxn_div 55178
Flxn_div_pre 55198
Flxn_exp 0
Flxn_expint 109400
Flxn_inv 1037
Flxn_mul 75847
Flxn_mul_pre 5168356
Flxn_mulhigh 516793
Flxn_recip 217359
Flxn_red 6339913
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 782907
Flxq_auttrace_pre 962777
Flxq_auttrace_sqr 655382
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417764
Flxq_easylog 519340
Flxq_inv 335768
Flxq_inv_pre 4287548
Flxq_invsafe 670766
Flxq_invsafe_pre 5432536
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 170668
Flxq_minpoly 45993
Flxq_minpoly_pre 812338
Flxq_mul 13192519
Flxq_mul_pre 192047550
Flxq_norm 443328
Flxq_order 97328
Flxq_pow 948367
Flxq_pow_Frobenius 23878311
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 24941899
Flxq_pow_table 0
Flxq_pow_table_pre 4392
Flxq_powers 232060
Flxq_powers_pre 22455500
Flxq_powu 488427
Flxq_powu_pre 24369090
Flxq_sqr 2763146
Flxq_sqr_pre 279008420
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 4227039
Flxq_transmul_init 1752183
RgXV_to_FlxV 7
RgX_to_Flx 2250324
Rg_to_F2 1710409
Rg_to_Fl 73223163
Rg_to_Flxq 3598795
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3814343
ZXV_to_FlxV 0
ZX_to_Flx 171026943
Z_mod2BIL_Flx 293610
Z_mod2BIL_Flx_2 296540
Z_mod2BIL_Flx_3 0
Z_to_Flx 7561694
ZpX_invLaplace_init 497
_Fl2_mul 1984592
_Fl2_pow 690026
_Fl2_rand 118186
_Fl2_sqr 5071505
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11009818
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 150837611
_Flxq_neg 366572
_Flxq_one 22454759
_Flxq_pow 23870905
_Flxq_powu 68
_Flxq_powu_i 23113704
_Flxq_rand 6565
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 271202251
bounded_order 395385
gener_Flxq 7201
get_Fl_threshold 2342861063
get_Flx_red 994204488
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 20874506
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 5659825
kron_unpack_Flx_bits_wide 5608408
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8408887
mkF2 7555984
monomial_Flx 944438
random_Flx 2651978
set_Flxq 68922
set_Flxq_pre 71061901
translate_basecase 42367
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6537967

Generated by: LCOV version 1.16