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 30587-f85873d515) Lines: 2553 2925 87.3 %
Date: 2025-12-27 09:21:13 Functions: 304 363 83.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 450550
Fl2_inv_pre 197591
Fl2_mul_pre 1955913
Fl2_norm_pre 127676
Fl2_pow_pre 672653
Fl2_sqr_pre 4915368
Fl2_sqrt_pre 65849
Fl2_sqrtn_pre 76176
Fl_Flxq_log 35543
Fl_Xp1_powu 0
Fl_to_Flx 21929470
Flm_to_FlxV 2772
FlvV_polint_tree 2587060
Flv_Flm_polint 104557
Flv_inv 1744410
Flv_invVandermonde 153445
Flv_inv_i 1756419
Flv_inv_indir 52212
Flv_inv_inplace 12017
Flv_inv_pre 9644
Flv_inv_pre_indir 21012473
Flv_inv_pre_inplace 19289661
Flv_polint 1485151
Flv_prod 0
Flv_prod_pre 3719
Flv_producttree 1745648
Flv_roots_to_pol 841833
Flv_to_Flx 25486117
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 325151
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 7098
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 301254
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28975
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171877
FlxV_to_Flm_lg 12966994
FlxV_to_FlxX 397977
FlxV_to_ZXV 606739
FlxV_to_ZXV_inplace 3031518
Flx_Fl2_eval_pre 10773
Flx_Fl_add 9844222
Flx_Fl_mul 7328631
Flx_Fl_mul_pre 18291698
Flx_Fl_mul_to_monic 11856695
Flx_Fl_sub 151681
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1785937
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13165618
Flx_Flxq_eval 791318
Flx_Flxq_eval_pre 2444584
Flx_Frobenius 86619
Flx_Frobenius_pre 13811031
Flx_Laplace 27340
Flx_Newton 54091
Flx_add 66102167
Flx_addmulmul 416793
Flx_addshift 3724675
Flx_addspec 7250880
Flx_blocks 516802
Flx_blocks_Flm 12966559
Flx_composedprod 0
Flx_composedsum 27533
Flx_convol 0
Flx_deflate 420791
Flx_deriv 22979373
Flx_diff1 14376
Flx_digits 0
Flx_div_by_X_x 36550126
Flx_divrem 30446160
Flx_divrem_Barrett 606550
Flx_divrem_Barrettspec 907935
Flx_divrem_basecase 62268569
Flx_divrem_pre 79707865
Flx_double 2443925
Flx_equal 26943537
Flx_eval 20437796
Flx_eval2BILspec 603305
Flx_eval_powers_pre 48550257
Flx_eval_pre 136149991
Flx_extgcd 856683
Flx_extgcd_basecase 6285470
Flx_extgcd_halfgcd 146649
Flx_extgcd_pre 6285477
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109397
Flx_gcd 35016261
Flx_gcd_basecase 85761829
Flx_gcd_pre 87416833
Flx_get_red 14501599
Flx_get_red_pre 97108043
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1126904
Flx_halfgcd_all_pre 1126908
Flx_halfgcd_pre 873109
Flx_halfres_basecase 1133981
Flx_halfres_i 1153949
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14026
Flx_inflate 161132
Flx_integ 0
Flx_integXn 422699
Flx_invBarrett 0
Flx_invBarrett_Newton 23161
Flx_invBarrett_basecase 134392
Flx_invBarrett_pre 158852
Flx_invLaplace 54341
Flx_is_l_pow 8168
Flx_is_smooth 74256
Flx_is_smooth_pre 118558
Flx_is_smooth_squarefree 126678
Flx_is_squarefree 9180399
Flx_lgrenormalizespec 2138289
Flx_matFrobenius 0
Flx_matFrobenius_pre 86569
Flx_mod_Xn1 31508
Flx_mod_Xnm1 4908069
Flx_mul 27811449
Flx_mul_pre 379070471
Flx_mulhigh_i 938213
Flx_mullimb 1187678204
Flx_mullimb_ok 3364043670
Flx_mulspec 384639931
Flx_mulspec_Kronecker 7354229
Flx_mulspec_basecase 347127467
Flx_mulspec_halfmulii 5463
Flx_mulspec_mulii 10144
Flx_mulspec_mulii_inflate 294051
Flx_mulspec_quartmulii 97167
Flx_neg 3265977
Flx_neg_inplace 1777875
Flx_negspec 3265966
Flx_normalize 64816895
Flx_powu 0
Flx_powu_pre 4024
Flx_recip 0
Flx_recipspec 7291334
Flx_red 1886247
Flx_rem 42237463
Flx_rem_basecase 798248781
Flx_rem_pre 922124201
Flx_renormalize 2151220719
Flx_rescale 1117
Flx_resultant 4732497
Flx_resultant_basecase_pre 14596233
Flx_resultant_pre 14598467
Flx_shift 27376415
Flx_shiftip 631537291
Flx_splitting 148119
Flx_sqr 354819
Flx_sqr_pre 275562572
Flx_sqrspec 275847026
Flx_sqrspec_Kronecker 695151
Flx_sqrspec_basecase 275956080
Flx_sqrspec_halfsqri 136
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2067
Flx_sqrspec_sqri_inflate 11814
Flx_sub 138620063
Flx_subspec 900400
Flx_to_Flv 66639580
Flx_to_FlxX 71405
Flx_to_ZX 38298141
Flx_to_ZX_inplace 36565704
Flx_to_int_halfspec 468590
Flx_to_int_quartspec 204552
Flx_translate1 17040
Flx_translate1_basecase 29125
Flx_triple 1049261
Flx_unscale 0
Flx_val 4471900
Flx_valrem 28464375
Flxn_div 55128
Flxn_div_pre 55151
Flxn_exp 0
Flxn_expint 109394
Flxn_inv 1037
Flxn_mul 75839
Flxn_mul_pre 5157277
Flxn_mulhigh 516682
Flxn_recip 217259
Flxn_red 6327519
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 69456
Flxq_autpow_sqr 47324
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112490
Flxq_autsum_pre 98774
Flxq_autsum_sqr 105124
Flxq_auttrace 0
Flxq_auttrace_mul 779996
Flxq_auttrace_pre 959905
Flxq_auttrace_sqr 652684
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2416818
Flxq_easylog 519365
Flxq_inv 335769
Flxq_inv_pre 4286475
Flxq_invsafe 669808
Flxq_invsafe_pre 5428845
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 45937
Flxq_minpoly_pre 809670
Flxq_mul 13192401
Flxq_mul_pre 187924027
Flxq_norm 443129
Flxq_order 97328
Flxq_pow 948225
Flxq_pow_Frobenius 22390053
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23453500
Flxq_pow_table 0
Flxq_pow_table_pre 4394
Flxq_powers 232012
Flxq_powers_pre 22432547
Flxq_powu 488343
Flxq_powu_pre 24176311
Flxq_sqr 2763153
Flxq_sqr_pre 274635430
Flxq_sqrt 230547
Flxq_sqrt_pre 230547
Flxq_sqrtl_spec_pre 37667
Flxq_sqrtn 23094
Flxq_sqrtn_spec_pre 21900
Flxq_sumautsum_msqr 40915
Flxq_sumautsum_pre 210713
Flxq_sumautsum_sqr 295314
Flxq_trace 4696
Flxq_transmul 4212150
Flxq_transmul_init 1746176
RgXV_to_FlxV 7
RgX_to_Flx 2249941
Rg_to_F2 1710491
Rg_to_Fl 73209682
Rg_to_Flxq 3588261
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3814803
ZXV_to_FlxV 0
ZX_to_Flx 171008658
Z_mod2BIL_Flx 305865
Z_mod2BIL_Flx_2 308795
Z_mod2BIL_Flx_3 0
Z_to_Flx 7556229
ZpX_invLaplace_init 497
_Fl2_mul 1926875
_Fl2_pow 672638
_Fl2_rand 114098
_Fl2_sqr 4915413
_Flx_add 0
_Flx_composedsum 3882
_Flx_divrem 0
_Flx_mul 11777769
_Flx_one 0
_Flx_pow 0
_Flx_sqr 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 146735585
_Flxq_neg 366572
_Flxq_one 22434078
_Flxq_pow 22382641
_Flxq_powu 68
_Flxq_powu_i 22922106
_Flxq_rand 6571
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 266795323
bounded_order 395399
gener_Flxq 7201
get_Fl_threshold 2322816722
get_Flx_red 986095005
get_Flxq_field 68902
get_Flxq_star 283446
init_invlaplace 12514
int_to_Flx 12217
int_to_Flx_half 507058
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 20996552
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 5663580
kron_unpack_Flx_bits_wide 5667575
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8483417
mkF2 7330971
monomial_Flx 941172
random_Flx 2645886
set_Flxq 68922
set_Flxq_pre 69361737
translate_basecase 42293
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6406661

Generated by: LCOV version 1.16