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 31057-89c4d54ba6) Lines: 86.6 % 2953 2556
Test Date: 2026-07-25 17:02:42 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 456946
Fl2_inv_pre 200409
Fl2_mul_pre 17129999
Fl2_norm_pre 97119272
Fl2_pow_pre 682251
Fl2_sqr_pre 5018382
Fl2_sqrt_pre 65964
Fl2_sqrtn_pre 77201
Fl_Flxq_log 35413
Fl_Xp1_powu 0
Fl_to_Flx 22906848
Flm_to_FlxV 2772
FlvV_polint_tree 2648268
Flv_Flm_polint 105895
Flv_inv 1746468
Flv_invVandermonde 153445
Flv_inv_i 1758485
Flv_inv_indir 52847
Flv_inv_inplace 12017
Flv_inv_pre 9644
Flv_inv_pre_indir 21741664
Flv_inv_pre_inplace 20026382
Flv_polint 1485856
Flv_prod 0
Flv_prod_pre 3719
Flv_producttree 1747674
Flv_roots_to_pol 904175
Flv_to_Flx 26082542
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 291803
FlxV_Flc_mul 34482
FlxV_Flv_multieval 2478
FlxV_Flv_multieval_tree 2478
FlxV_Flx_fromdigits 0
FlxV_composedsum 28991
FlxV_factorback 0
FlxV_max_degree_i 0
FlxV_prod 0
FlxV_red 0
FlxV_to_Flm 172468
FlxV_to_Flm_lg 13200503
FlxV_to_FlxX 410249
FlxV_to_ZXV 610773
FlxV_to_ZXV_inplace 3036593
Flx_Fl2_eval_pre 5214706
Flx_Fl_add 9951596
Flx_Fl_mul 9480960
Flx_Fl_mul_pre 20389660
Flx_Fl_mul_to_monic 11913868
Flx_Fl_sub 151979
Flx_Fl_translate 0
Flx_Flv_multieval 0
Flx_Flv_multieval_tree 1788393
Flx_FlxM_qmul 7125
Flx_FlxqV_eval 5124
Flx_FlxqV_eval_pre 13456074
Flx_Flxq_eval 804905
Flx_Flxq_eval_pre 2533438
Flx_Frobenius 87438
Flx_Frobenius_pre 14056285
Flx_Laplace 27566
Flx_Newton 54528
Flx_add 77205549
Flx_addmulmul 360264
Flx_addshift 3975516
Flx_addspec 7743591
Flx_blocks 529859
Flx_blocks_Flm 13200503
Flx_composedprod 0
Flx_composedsum 27768
Flx_convol 0
Flx_deflate 421887
Flx_deriv 23062177
Flx_diff1 660758
Flx_digits 0
Flx_div_by_X_x 40744471
Flx_divrem 29839652
Flx_divrem_Barrett 636438
Flx_divrem_Barrettspec 951040
Flx_divrem_basecase 61535925
Flx_divrem_pre 78301501
Flx_double 1182839
Flx_equal 26108720
Flx_eval 20507458
Flx_eval2BILspec 681471
Flx_eval_powers_pre 49639016
Flx_eval_pre 136438435
Flx_extgcd 861770
Flx_extgcd_basecase 6256111
Flx_extgcd_halfgcd 122281
Flx_extgcd_pre 6256111
Flx_extresultant 53
Flx_extresultant_basecase 53
Flx_extresultant_pre 53
Flx_fromNewton 109615
Flx_gcd 36624081
Flx_gcd_basecase 87740485
Flx_gcd_pre 89499486
Flx_get_red 14550296
Flx_get_red_pre 97983776
Flx_halfgcd 0
Flx_halfgcd_all 154
Flx_halfgcd_all_i 1091879
Flx_halfgcd_all_pre 1091879
Flx_halfgcd_pre 879146
Flx_halfres_basecase 1099113
Flx_halfres_i 1119626
Flx_halfres_pre 1044
Flx_halfres_split 20513
Flx_halfres_update_pre 9405
Flx_halve 13965
Flx_inflate 160811
Flx_integ 0
Flx_integXn 423966
Flx_invBarrett 0
Flx_invBarrett_Newton 24098
Flx_invBarrett_basecase 135150
Flx_invBarrett_pre 160551
Flx_invLaplace 54830
Flx_is_l_pow 8213
Flx_is_smooth 74256
Flx_is_smooth_pre 119060
Flx_is_smooth_squarefree 127273
Flx_is_squarefree 9229432
Flx_lgrenormalizespec 2240796
Flx_matFrobenius 0
Flx_matFrobenius_pre 86896
Flx_mod_Xn1 31667
Flx_mod_Xnm1 4920840
Flx_mul 26814349
Flx_mul_pre 392823259
Flx_mulhigh_i 953825
Flx_mullimb 1230868264
Flx_mullimb_ok 3472298295
Flx_mulspec 398865785
Flx_mulspec_Kronecker 7767751
Flx_mulspec_basecase 355697594
Flx_mulspec_halfmulii 5543
Flx_mulspec_mulii 11437
Flx_mulspec_mulii_inflate 332309
Flx_mulspec_quartmulii 101291
Flx_neg 4266853
Flx_neg_inplace 1894846
Flx_negspec 4266853
Flx_normalize 67777474
Flx_powu 0
Flx_powu_pre 3876
Flx_recip 0
Flx_recipspec 7417023
Flx_red 1881442
Flx_rem 42357715
Flx_rem_basecase 814560917
Flx_rem_pre 957190087
Flx_renormalize 2231858536
Flx_rescale 1117
Flx_resultant 4738185
Flx_resultant_basecase_pre 14610073
Flx_resultant_pre 14611515
Flx_shift 27608966
Flx_shiftip 648186016
Flx_splitting 148157
Flx_sqr 393992
Flx_sqr_pre 282436089
Flx_sqrspec 282566877
Flx_sqrspec_Kronecker 728757
Flx_sqrspec_basecase 281498681
Flx_sqrspec_halfsqri 139
Flx_sqrspec_quartsqri 10743
Flx_sqrspec_sqri 3012
Flx_sqrspec_sqri_inflate 13464
Flx_sub 141568537
Flx_subspec 943054
Flx_to_Flv 67412325
Flx_to_FlxX 71583
Flx_to_ZX 38525657
Flx_to_ZX_inplace 36060231
Flx_to_int_halfspec 556176
Flx_to_int_quartspec 213325
Flx_translate1 663418
Flx_translate1_basecase 675512
Flx_triple 551631
Flx_unscale 0
Flx_val 4582633
Flx_valrem 31189579
Flxn_div 56825
Flxn_div_pre 56825
Flxn_exp 0
Flxn_expint 109615
Flxn_inv 1037
Flxn_mul 76054
Flxn_mul_pre 5222963
Flxn_mulhigh 529859
Flxn_recip 218671
Flxn_red 6416620
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 46259
Flxq_autpow_pre 98543
Flxq_autpow_sqr 77462
Flxq_autpowers 1667
Flxq_autsum 0
Flxq_autsum_mul 112041
Flxq_autsum_pre 98541
Flxq_autsum_sqr 104866
Flxq_auttrace 0
Flxq_auttrace_mul 800304
Flxq_auttrace_pre 978250
Flxq_auttrace_sqr 668623
Flxq_charpoly 3625
Flxq_conjvec 20
Flxq_div 1170208
Flxq_div_pre 2323066
Flxq_easylog 519258
Flxq_inv 335914
Flxq_inv_pre 4240181
Flxq_invsafe 671075
Flxq_invsafe_pre 5394341
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 171243
Flxq_minpoly 45978
Flxq_minpoly_pre 815477
Flxq_mul 18090063
Flxq_mul_pre 194124750
Flxq_norm 440666
Flxq_order 97052
Flxq_pow 934167
Flxq_pow_Frobenius 22268232
Flxq_pow_init 0
Flxq_pow_init_pre 28
Flxq_pow_pre 23317681
Flxq_pow_table 0
Flxq_pow_table_pre 4393
Flxq_powers 232431
Flxq_powers_pre 22639149
Flxq_powu 500636
Flxq_powu_pre 24520786
Flxq_sqr 2760619
Flxq_sqr_pre 281526165
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 4244518
Flxq_transmul_init 1758292
RgXV_to_FlxV 14
RgX_to_Flx 2228650
Rg_to_F2 1716264
Rg_to_Fl 80743023
Rg_to_Flxq 3532252
ZM_unpack_FlxM 23936
ZM_unpack_FlxM_bits 58506
ZXT_to_FlxT 3832756
ZXV_to_FlxV 0
ZX_to_Flx 170270788
Z_mod2BIL_Flx 345773
Z_mod2BIL_Flx_2 348703
Z_mod2BIL_Flx_3 0
Z_to_Flx 7605420
ZpX_invLaplace_init 504
_Fl2_mul 1961636
_Fl2_pow 682251
_Fl2_rand 115546
_Fl2_sqr 5018382
_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 149119771
_Flxq_neg 366572
_Flxq_one 22643542
_Flxq_pow 22260810
_Flxq_powu 68
_Flxq_powu_i 23263320
_Flxq_rand 6289
_Flxq_red 1549491
_Flxq_rmul 1460401
_Flxq_s 6567
_Flxq_sqr 275435797
_Flxq_sub 0
_Flxq_zero 0
bounded_order 393690
gener_Flxq 7201
get_Fl_threshold 2386143560
get_Flx_algebra 0
get_Flx_red 1020618427
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 112034
kron_pack_Flx_spec 85585
kron_pack_Flx_spec_2 3389
kron_pack_Flx_spec_3 0
kron_pack_Flx_spec_bits 22388659
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 6448984
kron_unpack_Flx_bits_wide 5978254
matJ2_FlxM 13
matid2_FlxM 955
maxbitcoeffpol 8974446
mkF2 27819012
monomial_Flx 947380
random_Flx 2666632
set_Flxq 68811
set_Flxq_pre 69832342
translate_basecase 688677
zero_FlxC 0
zero_FlxM 0
zero_FlxM_copy 0
zl_Xp1_powu 12017
zlx_translate1 25259
zx_to_Flx 6490391

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