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 30318-7d854b8994) Lines: 2553 2914 87.6 %
Date: 2025-06-06 09:19:58 Functions: 304 359 84.7 %
Legend: Lines: hit not hit

Function Name Sort by function name Hit count Sort by hit count
Fl2_equal1 441365
Fl2_inv_pre 193420
Fl2_mul_pre 1911463
Fl2_norm_pre 124428
Fl2_pow_pre 658509
Fl2_sqr_pre 4809330
Fl2_sqrt_pre 65765
Fl2_sqrtn_pre 73992
Fl_Flxq_log 35536
Fl_Xp1_powu 0
Fl_to_Flx 19867844
Flm_to_FlxV 2324
FlvV_polint_tree 1387174
Flv_Flm_polint 101397
Flv_inv 624264
Flv_invVandermonde 153162
Flv_inv_i 636277
Flv_inv_indir 49970
Flv_inv_inplace 12017
Flv_inv_pre 10490
Flv_inv_pre_indir 19085165
Flv_inv_pre_inplace 18485610
Flv_polint 368426
Flv_prod 0
Flv_prod_pre 3627
Flv_producttree 625462
Flv_roots_to_pol 743884
Flv_to_Flx 25247811
FlxC_FlxqV_eval 0
FlxC_FlxqV_eval_pre 0
FlxC_Flxq_eval 0
FlxC_Flxq_eval_pre 0
FlxC_eval_powers_pre 254974
FlxC_neg 0
FlxC_sub 0
FlxC_to_ZXC 104060
FlxC_translate 0
FlxM_Flx_add_shallow 0
FlxM_Flx_mul2 26000
FlxM_eval_powers_pre 20038
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
FlxM_translate 0
FlxT_red 293153
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2471
FlxV_Flv_multieval_tree 2471
FlxV_Flx_fromdigits 0
FlxV_composedsum 28987
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 171902
FlxV_to_Flm_lg 12803227
FlxV_to_FlxX 397977
FlxV_to_ZXV 605867
FlxV_to_ZXV_inplace 2926313
Flx_Fl2_eval_pre 10528
Flx_Fl_add 9890739
Flx_Fl_mul 7322451
Flx_Fl_mul_pre 18252195
Flx_Fl_mul_to_monic 11906348
Flx_Fl_sub 151678
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 665765
Flx_FlxM_qmul 6927
Flx_FlxqV_eval 5082
Flx_FlxqV_eval_pre 13001860
Flx_Flxq_eval 789589
Flx_Flxq_eval_pre 2403392
Flx_Frobenius 86479
Flx_Frobenius_pre 13702390
Flx_Laplace 27365
Flx_Newton 54165
Flx_add 62588140
Flx_addmulmul 416644
Flx_addshift 3664597
Flx_addspec 7130769
Flx_blocks 517073
Flx_blocks_Flm 12802368
Flx_composedprod 0
Flx_composedsum 27572
Flx_convol 0
Flx_deflate 420495
Flx_deriv 21150941
Flx_diff1 13482
Flx_digits 0
Flx_div_by_X_x 32994773
Flx_divrem 30288920
Flx_divrem_Barrett 603892
Flx_divrem_Barrettspec 904426
Flx_divrem_basecase 61730975
Flx_divrem_pre 79164943
Flx_double 2444871
Flx_equal 28352357
Flx_eval 20371284
Flx_eval2BILspec 581627
Flx_eval_powers_pre 43469138
Flx_eval_pre 100653924
Flx_extgcd 854959
Flx_extgcd_basecase 6267527
Flx_extgcd_halfgcd 146591
Flx_extgcd_pre 6267518
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109434
Flx_gcd 32468110
Flx_gcd_basecase 82890397
Flx_gcd_pre 84531854
Flx_get_red 14286480
Flx_get_red_pre 97818730
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1099599
Flx_halfgcd_all_pre 1099599
Flx_halfgcd_pre 845731
Flx_halfres_basecase 1106677
Flx_halfres_i 1126643
Flx_halfres_pre 1044
Flx_halfres_split 19964
Flx_halfres_update_pre 9405
Flx_halve 14117
Flx_inflate 160185
Flx_integ 0
Flx_integXn 422854
Flx_invBarrett 0
Flx_invBarrett_Newton 23161
Flx_invBarrett_basecase 134264
Flx_invBarrett_pre 158725
Flx_invLaplace 54407
Flx_is_l_pow 8143
Flx_is_smooth 74256
Flx_is_smooth_pre 118607
Flx_is_smooth_squarefree 126763
Flx_is_squarefree 8531973
Flx_lgrenormalizespec 2131138
Flx_matFrobenius 0
Flx_matFrobenius_pre 86582
Flx_mod_Xn1 30125
Flx_mod_Xnm1 5053163
Flx_mul 27628026
Flx_mul_pre 371826376
Flx_mulhigh_i 938901
Flx_mullimb 1162031356
Flx_mullimb_ok 3388137865
Flx_mulspec 377467057
Flx_mulspec_Kronecker 7219589
Flx_mulspec_basecase 340106027
Flx_mulspec_halfmulii 5460
Flx_mulspec_mulii 10141
Flx_mulspec_mulii_inflate 283370
Flx_mulspec_quartmulii 97167
Flx_neg 3264448
Flx_neg_inplace 1747890
Flx_negspec 3264446
Flx_normalize 62052098
Flx_powu 0
Flx_powu_pre 7813
Flx_recip 0
Flx_recipspec 7120255
Flx_red 1877812
Flx_rem 41843050
Flx_rem_basecase 786839602
Flx_rem_pre 910088284
Flx_renormalize 2110223947
Flx_rescale 1117
Flx_resultant 4732972
Flx_resultant_basecase_pre 10269831
Flx_resultant_pre 10271855
Flx_shift 26788343
Flx_shiftip 626614029
Flx_splitting 147210
Flx_sqr 354631
Flx_sqr_pre 277798882
Flx_sqrspec 277990413
Flx_sqrspec_Kronecker 683327
Flx_sqrspec_basecase 277824306
Flx_sqrspec_halfsqri 136
Flx_sqrspec_quartsqri 10218
Flx_sqrspec_sqri 2264
Flx_sqrspec_sqri_inflate 11498
Flx_sub 138071411
Flx_subspec 896941
Flx_to_Flv 65836803
Flx_to_FlxX 71244
Flx_to_ZX 37105724
Flx_to_ZX_inplace 36378289
Flx_to_int_halfspec 468584
Flx_to_int_quartspec 204552
Flx_translate 0
Flx_translate1 16142
Flx_translate1_basecase 28236
Flx_triple 1049734
Flx_unscale 0
Flx_val 4132652
Flx_valrem 26285955
Flxn_div 55209
Flxn_div_pre 55223
Flxn_exp 0
Flxn_expint 109431
Flxn_inv 1030
Flxn_mul 75400
Flxn_mul_pre 5060906
Flxn_mulhigh 516980
Flxn_recip 217468
Flxn_red 6232422
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 67486
Flxq_autpow_sqr 46249
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112472
Flxq_autsum_pre 98768
Flxq_autsum_sqr 105110
Flxq_auttrace 0
Flxq_auttrace_mul 764151
Flxq_auttrace_pre 935499
Flxq_auttrace_sqr 636813
Flxq_charpoly 3624
Flxq_conjvec 20
Flxq_div 237864
Flxq_div_pre 2417569
Flxq_easylog 519203
Flxq_inv 335769
Flxq_inv_pre 4283958
Flxq_invsafe 669601
Flxq_invsafe_pre 5412572
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 170681
Flxq_minpoly 44467
Flxq_minpoly_pre 783910
Flxq_mul 13190415
Flxq_mul_pre 190792470
Flxq_norm 443340
Flxq_order 97328
Flxq_pow 930744
Flxq_pow_Frobenius 23794490
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 24834206
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232062
Flxq_powers_pre 22209824
Flxq_powu 488320
Flxq_powu_pre 24114778
Flxq_sqr 2759491
Flxq_sqr_pre 276837526
Flxq_sqrt 230554
Flxq_sqrt_pre 230554
Flxq_sqrtl_spec_pre 35706
Flxq_sqrtn 20454
Flxq_sqrtn_spec_pre 19261
Flxq_sumautsum_msqr 40558
Flxq_sumautsum_pre 208704
Flxq_sumautsum_sqr 292682
Flxq_trace 4696
Flxq_transmul 4082420
Flxq_transmul_init 1691440
RgXV_to_FlxV 7
RgX_to_Flx 2241609
Rg_to_F2 1706786
Rg_to_Fl 73125995
Rg_to_Flxq 3563118
ZM_unpack_FlxM 23421
ZM_unpack_FlxM_bits 58160
ZXT_to_FlxT 3793873
ZXV_to_FlxV 0
ZX_to_Flx 167468813
Z_mod2BIL_Flx 294868
Z_mod2BIL_Flx_2 297798
Z_mod2BIL_Flx_3 0
Z_to_Flx 2600944
ZpX_invLaplace_init 497
_Fl2_mul 1883038
_Fl2_pow 658494
_Fl2_rand 111072
_Fl2_sqr 4809347
_Flx_add 389834
_Flx_composedsum 3910
_Flx_divrem 0
_Flx_mul 10465933
_Flx_sqr 0
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 149720123
_Flxq_neg 366572
_Flxq_one 22208128
_Flxq_pow 23787082
_Flxq_powu 68
_Flxq_powu_i 22863369
_Flxq_rand 5585
_Flxq_red 1550928
_Flxq_rmul 1461838
_Flxq_s 6567
_Flxq_sqr 268971333
bounded_order 394053
gener_Flxq 7201
get_Fl_threshold 2294403440
get_Flx_red 973463787
get_Flxq_field 68902
get_Flxq_star 280806
init_invlaplace 12514
int_to_Flx 12411
int_to_Flx_half 507055
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 20715414
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 5653685
kron_unpack_Flx_bits_wide 5530322
matJ2_FlxM 13
matid2_FlxM 911
maxbitcoeffpol 8325799
mkF2 7171402
monomial_Flx 912563
random_Flx 2591370
set_Flxq 68922
set_Flxq_pre 70436744
translate_basecase 41401
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6024499

Generated by: LCOV version 1.16