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) Coverage Total Hit
Test: PARI/GP v2.19.0 lcov report (development 31092-e6893b0017) Lines: 86.6 % 2953 2556
Test Date: 2026-08-13 17:02:38 Functions: 82.2 % 370 304
Legend: Lines:     hit not hit

Function Name Sort by function name Hit count Sort by function hit count
Fl2_equal1 457665
Fl2_inv_pre 200693
Fl2_mul_pre 17133046
Fl2_norm_pre 97119294
Fl2_pow_pre 683309
Fl2_sqr_pre 5026879
Fl2_sqrt_pre 65964
Fl2_sqrtn_pre 77293
Fl_Flxq_log 35416
Fl_Xp1_powu 0
Fl_to_Flx 22907154
Flm_to_FlxV 2772
FlvV_polint_tree 2648302
Flv_Flm_polint 105895
Flv_inv 1746502
Flv_invVandermonde 153445
Flv_inv_i 1758519
Flv_inv_indir 52847
Flv_inv_inplace 12017
Flv_inv_pre 9644
Flv_inv_pre_indir 21693355
Flv_inv_pre_inplace 19978039
Flv_polint 1485890
Flv_prod 0
Flv_prod_pre 3719
Flv_producttree 1747708
Flv_roots_to_pol 904175
Flv_to_Flx 26082903
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 325162
FlxC_neg 0
FlxC_sub 0
FlxC_to_ZXC 104095
FlxM_Fl_translate 0
FlxM_Flx_add_shallow 0
FlxM_Flx_mul2 26703
FlxM_eval_powers_pre 22302
FlxM_max_degree 0
FlxM_max_degree_i 0
FlxM_mul 0
FlxM_mul2 7297
FlxM_mul_Kronecker_i 82442
FlxM_neg 0
FlxM_pack_ZM 47865
FlxM_pack_ZM_bits 116931
FlxM_sub 0
FlxM_to_FlxXV 0
FlxM_to_ZXM 2485
FlxT_red 292829
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2478
FlxV_Flv_multieval_tree 2478
FlxV_Flx_fromdigits 0
FlxV_composedsum 28993
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 172471
FlxV_to_Flm_lg 13200510
FlxV_to_FlxX 410249
FlxV_to_ZXV 610797
FlxV_to_ZXV_inplace 3036578
Flx_Fl2_eval_pre 5214706
Flx_Fl_add 9952646
Flx_Fl_mul 9480363
Flx_Fl_mul_pre 20388806
Flx_Fl_mul_to_monic 11914384
Flx_Fl_sub 151981
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1788427
Flx_FlxM_qmul 7125
Flx_FlxqV_eval 5124
Flx_FlxqV_eval_pre 13456074
Flx_Flxq_eval 804888
Flx_Flxq_eval_pre 2533422
Flx_Frobenius 87438
Flx_Frobenius_pre 14056266
Flx_Laplace 27566
Flx_Newton 54528
Flx_add 77206070
Flx_addmulmul 360269
Flx_addshift 3975516
Flx_addspec 7743591
Flx_blocks 529859
Flx_blocks_Flm 13200510
Flx_composedprod 0
Flx_composedsum 27768
Flx_convol 0
Flx_deflate 421885
Flx_deriv 23062216
Flx_diff1 660758
Flx_digits 0
Flx_div_by_X_x 40742733
Flx_divrem 29838937
Flx_divrem_Barrett 636718
Flx_divrem_Barrettspec 951317
Flx_divrem_basecase 61534047
Flx_divrem_pre 78299038
Flx_double 1182839
Flx_equal 26196288
Flx_eval 20507460
Flx_eval2BILspec 681465
Flx_eval_powers_pre 49650415
Flx_eval_pre 136438108
Flx_extgcd 861761
Flx_extgcd_basecase 6256112
Flx_extgcd_halfgcd 122286
Flx_extgcd_pre 6256112
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109615
Flx_gcd 36623169
Flx_gcd_basecase 87739396
Flx_gcd_pre 89498462
Flx_get_red 14550302
Flx_get_red_pre 98026498
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1091843
Flx_halfgcd_all_pre 1091843
Flx_halfgcd_pre 879160
Flx_halfres_basecase 1099077
Flx_halfres_i 1119590
Flx_halfres_pre 1044
Flx_halfres_split 20513
Flx_halfres_update_pre 9405
Flx_halve 13965
Flx_inflate 160367
Flx_integ 0
Flx_integXn 423966
Flx_invBarrett 0
Flx_invBarrett_Newton 24098
Flx_invBarrett_basecase 135148
Flx_invBarrett_pre 160549
Flx_invLaplace 54830
Flx_is_l_pow 8185
Flx_is_smooth 74256
Flx_is_smooth_pre 118806
Flx_is_smooth_squarefree 126991
Flx_is_squarefree 9229735
Flx_lgrenormalizespec 2241350
Flx_matFrobenius 0
Flx_matFrobenius_pre 86898
Flx_mod_Xn1 31665
Flx_mod_Xnm1 4920721
Flx_mul 26813614
Flx_mul_pre 392906314
Flx_mulhigh_i 953825
Flx_mullimb 1234503418
Flx_mullimb_ok 3457573312
Flx_mulspec 398949394
Flx_mulspec_Kronecker 7768700
Flx_mulspec_basecase 355778264
Flx_mulspec_halfmulii 5543
Flx_mulspec_mulii 11437
Flx_mulspec_mulii_inflate 332306
Flx_mulspec_quartmulii 101288
Flx_neg 4267105
Flx_neg_inplace 1894846
Flx_negspec 4267105
Flx_normalize 67778956
Flx_powu 0
Flx_powu_pre 3892
Flx_recip 0
Flx_recipspec 7417661
Flx_red 1882329
Flx_rem 42358182
Flx_rem_basecase 814666737
Flx_rem_pre 957293323
Flx_renormalize 2232821027
Flx_rescale 1117
Flx_resultant 4738136
Flx_resultant_basecase_pre 14610036
Flx_resultant_pre 14611478
Flx_shift 27609054
Flx_shiftip 648305927
Flx_splitting 148271
Flx_sqr 394009
Flx_sqr_pre 282474370
Flx_sqrspec 282605158
Flx_sqrspec_Kronecker 728773
Flx_sqrspec_basecase 281536963
Flx_sqrspec_halfsqri 139
Flx_sqrspec_quartsqri 10743
Flx_sqrspec_sqri 3012
Flx_sqrspec_sqri_inflate 13464
Flx_sub 141566608
Flx_subspec 943331
Flx_to_Flv 67412500
Flx_to_FlxX 71583
Flx_to_ZX 38525722
Flx_to_ZX_inplace 36059670
Flx_to_int_halfspec 556176
Flx_to_int_quartspec 213319
Flx_translate1 663418
Flx_translate1_basecase 675512
Flx_triple 551631
Flx_unscale 0
Flx_val 4584210
Flx_valrem 31189024
Flxn_div 56825
Flxn_div_pre 56825
Flxn_exp 0
Flxn_expint 109615
Flxn_inv 1037
Flxn_mul 76054
Flxn_mul_pre 5223043
Flxn_mulhigh 529859
Flxn_recip 218671
Flxn_red 6416700
Flxn_sqr 0
Flxn_sqr_pre 0
FlxqC_Flxq_mul 0
FlxqC_red_pre 247515
FlxqM_Flxq_mul 0
FlxqM_mul_Kronecker 82442
FlxqM_red_pre 82442
FlxqV_dotproduct 0
FlxqV_dotproduct_pre 114702
FlxqX_dotproduct 1932
Flxq_autpow 7
Flxq_autpow_msqr 46261
Flxq_autpow_pre 98544
Flxq_autpow_sqr 77462
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112053
Flxq_autsum_pre 98545
Flxq_autsum_sqr 104876
Flxq_auttrace 0
Flxq_auttrace_mul 800268
Flxq_auttrace_pre 978183
Flxq_auttrace_sqr 668599
Flxq_charpoly 3625
Flxq_conjvec 20
Flxq_div 1170208
Flxq_div_pre 2323066
Flxq_easylog 519247
Flxq_inv 335914
Flxq_inv_pre 4240181
Flxq_invsafe 671077
Flxq_invsafe_pre 5394351
Flxq_is2npower 0
Flxq_issquare 402057
Flxq_log 164217
Flxq_lroot 0
Flxq_lroot_fast 0
Flxq_lroot_fast_pre 114702
Flxq_lroot_pre 54306
Flxq_matrix_pow 399
Flxq_matrix_pow_pre 171246
Flxq_minpoly 45978
Flxq_minpoly_pre 815414
Flxq_mul 18090061
Flxq_mul_pre 194202835
Flxq_norm 440689
Flxq_order 97052
Flxq_pow 934178
Flxq_pow_Frobenius 22311712
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23361226
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232434
Flxq_powers_pre 22639023
Flxq_powu 500636
Flxq_powu_pre 24520281
Flxq_sqr 2760616
Flxq_sqr_pre 281564365
Flxq_sqrt 230608
Flxq_sqrt_pre 230608
Flxq_sqrtl_spec_pre 37674
Flxq_sqrtn 23128
Flxq_sqrtn_spec_pre 21915
Flxq_sumautsum_msqr 39750
Flxq_sumautsum_pre 209819
Flxq_sumautsum_sqr 295304
Flxq_trace 4434
Flxq_transmul 4244637
Flxq_transmul_init 1758320
RgXV_to_FlxV 14
RgX_to_Flx 2228653
Rg_to_F2 1716286
Rg_to_Fl 81121132
Rg_to_Flxq 3532261
ZM_unpack_FlxM 23936
ZM_unpack_FlxM_bits 58506
ZXT_to_FlxT 3833036
ZXV_to_FlxV 0
ZX_to_Flx 170270462
Z_mod2BIL_Flx 345770
Z_mod2BIL_Flx_2 348700
Z_mod2BIL_Flx_3 0
Z_to_Flx 7605649
ZpX_invLaplace_init 504
_Fl2_mul 1964683
_Fl2_pow 683309
_Fl2_rand 115711
_Fl2_sqr 5026879
_Flx_add 0
_Flx_composedsum 3896
_Flx_divrem 0
_Flx_mul 13258724
_Flx_one 0
_Flx_pow 0
_Flx_red 0
_Flx_sqr 0
_Flx_sub 0
_Flx_zero 0
_Flxq_add 389834
_Flxq_equal0 69139
_Flxq_inv 9460
_Flxq_mul 149197454
_Flxq_neg 366572
_Flxq_one 22643416
_Flxq_pow 22304286
_Flxq_powu 68
_Flxq_powu_i 23262740
_Flxq_rand 6288
_Flxq_red 1549491
_Flxq_rmul 1460401
_Flxq_s 6567
_Flxq_sqr 275474187
_Flxq_sub 0
_Flxq_zero 0
bounded_order 393690
gener_Flxq 7201
get_Fl_threshold 2386527933
get_Flx_algebra 0
get_Flx_red 1020719811
get_Flxq_algebra 0
get_Flxq_field 68791
get_Flxq_star 283184
init_invlaplace 12521
int_to_Flx 14449
int_to_Flx_half 733977
int_to_Flx_quart 112031
kron_pack_Flx_spec 85585
kron_pack_Flx_spec_2 3389
kron_pack_Flx_spec_3 0
kron_pack_Flx_spec_bits 22390573
kron_pack_Flx_spec_half 891277
kron_unpack_Flx 78984
kron_unpack_Flx_2 2930
kron_unpack_Flx_3 0
kron_unpack_Flx_bits_narrow 6449942
kron_unpack_Flx_bits_wide 5978261
matJ2_FlxM 13
matid2_FlxM 955
maxbitcoeffpol 8975405
mkF2 27831097
monomial_Flx 947396
random_Flx 2666633
set_Flxq 68811
set_Flxq_pre 69875160
translate_basecase 688677
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6478610

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