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:

• with GMP kernel
• with GMP kernel using --mt=pthread
• with native kernel, including micro-assembler code
• with native kernel, without micro-assembler
• with native kernel, without micro-assembler, disabling GCC extensions (DISABLE_INLINE)
• with GMP kernel, emulating an x86_32 architecture at Configure time via setarch

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 - alglin1.c (source / functions) Hit Total Coverage Test: PARI/GP v2.18.1 lcov report (development 29877-9124a6ce27) Lines: 2725 3116 87.5 % Date: 2025-01-18 09:08:44 Functions: 296 317 93.4 % Legend: Lines: hit not hit

Function Name	Hit count
FlkM_inv	0
FpM_intersect	0
FpM_invimage	0
RgM_indexrank_FqM	0
RgMs_structelim	0
RgV_deplin	0
ZM_imagecompl	0
ZM_inv_ratlift	0
ZabM_inv_ratlift	0
_F2xqM_mul	0
_copy	0
add_slices	0
eigen	0
gen_gerepile_gauss_ker	0
gen_matcolinvimage	0
gen_matmul_sw	0
gerepile_gauss	0
gerepile_gauss_ker	0
gerepile_mat	0
reducemodlll	0
subtract_slices	0
F2m_image	7
F2xqM_det	7
F2xqM_image	7
F2xqM_indexrank	7
F2xqM_ker	7
F2xqM_rank	7
F2xqM_suppl	7
FlxqM_indexrank	7
FqM_indexrank	7
image2	7
reducemodinvertible	7
FpM_FpC_invimage_gen	8
F2m_suppl	14
F2xqM_F2xqC_gauss	14
F2xqM_deplin	14
F2xqM_gauss	14
FlxqM_FlxqC_gauss	14
FlxqM_suppl	14
FpM_FpC_gauss	14
FqM_FqC_gauss	14
RgC_inflate	14
F2xqM_F2xqC_invimage	21
F2xqM_F2xqC_mul	21
F2xqM_gauss_pivot	21
F2xqM_invimage	21
F2xqM_ker_i	21
FlxqM_FlxqC_invimage	21
FlxqM_gauss	21
FlxqM_image	21
FqM_FqC_invimage	21
FqM_gauss	21
QM_rank	21
gen_get_suppl	21
gen_suppl	21
FlxqM_det	28
FlxqM_ker	28
RgM_RgC_invimage_FpC	28
RgM_deplin_i	28
RgM_div	28
RgM_indexrank_FpM	28
gen_matinv_upper	28
F2xqM_inv	35
FlxqM_FlxqC_mul	35
FlxqM_deplin	35
FlxqM_rank	35
FpM_gauss	35
FpM_invimage_gen	35
RgM_image_FqM	35
gen_matrank	35
FlxqM_invimage	42
FqM_invimage	42
RgM_det_FqM	42
RgM_inv_FqM	42
F2Ms_colelim	46
FqM_image	49
RgM_deplin_FqM	49
RgM_rank_FqM	49
F2m_indexrank	53
RgM_is_symmetric_cx	53
eigen_err	53
FlxqM_inv	56
FpM_rank	56
F2xqM_gauss_gen	63
FqM_FqC_mul	63
RgM_RgC_solve_FpC	63
gen_invimage_CUP	63
FqM_det	70
FqM_rank	70
RgM_suppl_FpM	70
gen_matcolinvimage_i	71
gen_matinv_upper_ind	77
gen_matinvimage	77
FqM_deplin	84
RgM_invimage_FpM	84
imagecompl	84
imagecompl_aux	84
FlxqM_gauss_i	91
RgM_ker_FqM	91
FqM_inv	98
Flm_suppl	105
FqM_gauss_pivot_gen	105
RgM_deplin_FpM	105
RgM_solve_FpM	105
gen_deplin_echelon	105
QM_deplin	119
FqM_ker_gen	126
RgM_rank_FpM	126
FqM_gauss_gen	133
ZabM_pseudoinv	140
gen_det_CUP	140
gen_invimage	140
mateigen	144
RgMs_structelim_col	147
gen_colei	154
RgM_suppl_fast	175
suppl	175
QM_det	203
matimage0	217
det_init_max	252
gen_det	294
FpM_det_gen	315
FlxqM_gauss_pivot	349
RgM_invimage	364
RgM_invimage_fast	364
RgM_rank_fast	371
rank	371
RgM_deplin	385
RgM_deplin_fast	385
deplin	385
coeff_det	406
gen_det_i	420
FqM_gauss_pivot	426
gauss	434
det_bareiss	462
RgM_image_FpM	525
RgM_ker_FpM	553
gen_gauss_CUP	559
gen_pivots_CUP	610
ZabM_ker	623
ZabM_ker_check	655
RgM_Fp_init3	658
det_develop	658
FlxqM_ker_i	782
gen_Gauss_pivot	1107
FpM_gauss_pivot_gen	1214
gen_ker	1241
gauss_pivot_ker	1271
ker_aux	1271
FlkM_ker	1276
FpXM_ratlift	1276
QM_indexrank	1344
FqM_suppl	1427
F2xqM_mul	1449
row_count_non_zero	1456
col_count_non_zero	1470
RgM_det_FpM	1519
gen_pivots	1710
ZabM_inv	1827
ZabM_true_Hadamard	1827
ZabM_inv_slice	1985
ZabM_inv_worker	1985
RgM_inv_FpM	2051
RgM_RgC_invimage_fast	2184
gen_rsolve_upper_2	2256
RgM_RgC_invimage	2289
gen_ker_echelon	2377
ZabM_indexrank	2387
inverseimage	2450
gen_matneg	2454
FpM_ker_gen	2646
FpM_gauss_gen	2749
gen_gauss	3036
FlkM_adjoint	3209
FqM_ker	3323
FqM_ker_i	3407
gen_ker_i	3646
gen_solve_upper_1	4043
FlmV_recover_pre	4485
gauss_get_pivot_NZ	4501
RgM_Fp_init	4599
FpM_det	4676
ZM_pseudoinv	5019
QM_image	5411
vecnorml1	5509
gen_Gauss	5688
gen_rsolve_upper	5840
gen_lsolve_upper_2	5886
QM_gauss	5992
RgM_image_fast	6034
image	6034
gen_lsolve_lower_unit_2	6129
QM_image_shallow	6181
ZM_indeximage	6181
indeximage0	6181
QM_gauss_i	6321
QC_normalize	6328
_FqM_mul	6349
fill_wcol	7448
rem_singleton	7641
_FlxqM_mul	7924
ZM_det2	8659
closemodinvertible	9092
RgM_ker_fast	9198
ker	9198
gen_CUP	10598
indexcompl	12237
gen_rsolve_lower_unit_2	12752
gen_zerocol	13142
gen_zeromat	13142
gen_lsolve_upper	13878
gen_colneg	14832
gen_CUP_basecase	16045
gen_lsolve_lower_unit	16149
QM_ker	16709
gen_echelon	17771
RgM_Hadamard	20003
ZM_det_slice	20875
ZM_det_worker	20875
_gen_get_col	21201
indexrank_all	21847
_FpM_mul	22741
det0	26593
gen_rsolve_lower_unit	30776
RgM_det_fast	33900
FpM_indexrank	40542
Flm_image	40859
ZM_inv0	43518
perm_complete	43694
matker0	46221
gen_matscalmul	47350
gen_matcolmul	48281
RgM_solve_fast	48804
ZM_ker	49269
detint	49964
Flm_indexrank	56867
_gen_addmul	57124
det_simple_gauss	58160
gen_matsub	63974
parallelogramarea	64310
QM_inv	64556
ZM_ker_i	65103
ZM_ker_chinese	69559
FpM_ratlift_worker	75111
gauss_pivot	75904
gen_matmul	75981
gen_matmul_classical	75981
gen_matmul_i	75981
RgM_indexrank_fast	77528
indexrank	77528
FqM_mul	86037
RgM_det2	94268
rem_col	95965
ZM_det3	100472
ZM_ker_filter	105226
ZM_det	130709
ZM_ker_slice	131838
ZM_ker_worker	131838
det2	134426
FlxqM_mul	149297
ZM_detmult	166037
RgM_pivots	167536
gauss_get_pivot_padic	201792
det	246226
FpM_intersect_i	264024
FpM_suppl	266414
get_suppl	266903
init_suppl	266903
FpM_FpC_invimage	297775
gen_colscalmul	314852
FpM_image	326764
FpM_inv	349620
FpM_gauss_i	349669
gen_matcolmul_i	350112
image_from_pivot	367720
FpM_deplin	456451
RgM_inv	527124
RgM_inv_fast	527124
gen_colsub	584763
FpM_gauss_pivot	633771
ZM_inv1	644135
RgM_true_Hadamard	718587
ZM_inv2	725097
ZM_adj_ratlift	756396
can_ratlift	763566
ZM_inv_slice	791951
ZM_inv_worker	791951
get_pivot_fun	801691
FpM_ker	845043
RgM_RgC_solve_fast	1177578
RgM_solve_realimag	1215671
RgM_solve	1226382
get_col	1265501
FpM_init	1281494
FpM_ker_i	1304026
FpM_init3	1304033
RgM_inv_upper	1617282
RgM_solve_basecase	1693356
ZM_gauss	1710158
ZM_gauss_i	1710158
ZM_indexrank	1741255
init_indexrank	1920647
indexrank0	1936312
ZM_gauss_slice	2017390
ZM_gauss_worker	2017391
ZM_inv	2066787
ZM_inv_i	2131342
ZM_rank	2225736
init_gauss	2376263
split_realimag	2570502
gauss_get_pivot_max	2592331
FpM_ratlift_parallel	2733520
RgM_inv_upper_ind	3230643
ZM_count_0_cols	4213243
ZM_pivots	4226881
split_realimag_col	4517855
_submul	18288480

Generated by: LCOV version 1.16