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Add unit tests for the new function mbedtls_mpi_core_sub() in bignum_new.c
The test cases use the following MPI values. The .data file includes two results, for the cases when sizeof(mbedtls_mpi_uint) == 4 or 8. 0 1 3 f fe ff 100 ff00 fffe ffff 10000 fffffffe ffffffff 100000000 1f7f7f7f7f7f7f 8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff 10000000000000000 1234567890abcdef0 fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffff 100000000000000000000000000000000 1234567890abcdef01234567890abcdef0 fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 10000000000000000000000000000000000000000000000000000000000000000 1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0 4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b The lines in the .data file were generated by the following script #!/usr/bin/env perl # # mpi-test-core-sub.pl - generate/run MPI tests in Perl for mbedtls_mpi_core_sub() # use strict; use warnings; use Math::BigInt; use sort 'stable'; my @sub_mpis = qw( 0 1 3 f fe ff 100 ff00 fffe ffff 10000 fffffffe ffffffff 100000000 1f7f7f7f7f7f7f 8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff 10000000000000000 1234567890abcdef0 fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffff 100000000000000000000000000000000 1234567890abcdef01234567890abcdef0 fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 10000000000000000000000000000000000000000000000000000000000000000 1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0 4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b ); generate_tests(); sub generate_tests { generate_mbedtls_mpi_core_sub(); } sub generate_mbedtls_mpi_core_sub { my $sub_name = (caller(0))[3]; # e.g. main::generate_mbedtls_mpi_sub_mpi my ($ignore, $test_name) = split("main::generate_", $sub_name); my @cases = (); for my $ah (@sub_mpis) { for my $bh (@sub_mpis) { my $a = Math::BigInt->from_hex($ah); my $b = Math::BigInt->from_hex($bh); my ($rh4, $rh8, $carry); if ($a >= $b) { my $r = $a - $b; $rh4 = $rh8 = $r->to_hex(); $carry = 0; } else { my $r4 = bound_mpi4($b) + $a - $b; my $r8 = bound_mpi8($b) + $a - $b; $rh4 = $r4->to_hex(); $rh8 = $r8->to_hex(); $carry = 1; } my $desc = "$test_name #NUMBER: 0x$ah - 0x$bh = 0x$rh4/${rh8}EXPLAIN, carry ${carry}"; my $case = output($test_name, str($ah), str($bh), str($rh4), str($rh8), $carry); push(@cases, [$case, $desc]); } } output_cases(" (for when sizeof(mbedtls_mpi_uint) == 4/8)", @cases); } sub output_cases { my ($explain, @cases) = @_; my $count = 1; for my $c (@cases) { my ($case, $desc, $dep) = @$c; $desc =~ s/NUMBER/$count/; $count++; if (defined($explain) && $desc =~ /EXPLAIN/) { $desc =~ s/EXPLAIN/$explain/; $explain = ""; } my $depends = ""; $depends = "depends_on:$dep\n" if defined($dep) && length($dep); print <<EOF; $desc $depends$case EOF } } # The first number (a power of 2) that won't fit in the number of MPIs # needed for the given number sub bound_mpi4 { my $one = Math::BigInt->new(1); # blsft modifies caller return $one->blsft(bits_mpi4($_[0])); } sub bound_mpi8 { my $one = Math::BigInt->new(1); # blsft modifies caller return $one->blsft(bits_mpi8($_[0])); } # How many bits (a multiple of 32) needed to store the specified number # when using 4-byte MPIs sub bits_mpi4 { return 32 * mpi4s($_[0]); } # How many bits (a multiple of 64) needed to store the specified number # when using 8-byte MPIs sub bits_mpi8 { return 64 * mpi8s($_[0]); } # How many 4-byte MPIs needed to store the specified number sub mpi4s { my ($n) = @_; my $h = $n->to_hex(); return int((length($h) + 7) / 8); } # How many 8-byte MPIs needed to store the specified number sub mpi8s { my ($n) = @_; my $h = $n->to_hex(); return int((length($h) + 15) / 16); } sub output { return join(":", @_); } sub str { return '"' . $_[0] . '"'; } Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
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@ -1814,6 +1814,95 @@ exit:
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}
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/* END_CASE */
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/* BEGIN_CASE */
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void mbedtls_mpi_core_sub( char * input_l, char * input_r,
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char * input_X4, char * input_X8,
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int carry )
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{
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mbedtls_mpi l, r, X4, X8;
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mbedtls_mpi_uint *la = NULL;
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mbedtls_mpi_uint *ra = NULL;
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mbedtls_mpi_uint *Xa = NULL;
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mbedtls_mpi_uint *da = NULL;
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mbedtls_mpi_init( &l );
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mbedtls_mpi_init( &r );
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mbedtls_mpi_init( &X4 );
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mbedtls_mpi_init( &X8 );
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TEST_EQUAL( mbedtls_test_read_mpi( &l, input_l ), 0 );
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TEST_EQUAL( mbedtls_test_read_mpi( &r, input_r ), 0 );
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TEST_EQUAL( mbedtls_test_read_mpi( &X4, input_X4 ), 0 );
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TEST_EQUAL( mbedtls_test_read_mpi( &X8, input_X8 ), 0 );
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/* All of the inputs are +ve (or zero) */
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TEST_EQUAL( l.s, 1 );
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TEST_EQUAL( r.s, 1 );
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TEST_EQUAL( X4.s, 1 );
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TEST_EQUAL( X8.s, 1 );
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/* Get the number of limbs we will need */
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size_t limbs = ( l.n < r.n ) ? r.n : l.n;
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/* We only need to work with X4 or X8, depending on sizeof(mbedtls_mpi_uint) */
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mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8;
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/* The result shouldn't have more limbs than the longest input */
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TEST_ASSERT( X->n <= limbs );
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/* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */
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la = mbedtls_calloc( limbs, sizeof(mbedtls_mpi_uint) );
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ra = mbedtls_calloc( limbs, sizeof(mbedtls_mpi_uint) );
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Xa = mbedtls_calloc( limbs, sizeof(mbedtls_mpi_uint) );
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da = mbedtls_calloc( limbs, sizeof(mbedtls_mpi_uint) );
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TEST_ASSERT( la != NULL );
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TEST_ASSERT( ra != NULL );
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TEST_ASSERT( Xa != NULL );
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TEST_ASSERT( da != NULL );
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/* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as
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* processed by mbedtls_mpi_core_add_if()) are little endian, we can just
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* copy what we have as long as MSBs are 0 (which they are from calloc())
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*/
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memcpy( la, l.p, l.n * sizeof(mbedtls_mpi_uint) );
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memcpy( ra, r.p, r.n * sizeof(mbedtls_mpi_uint) );
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memcpy( Xa, X->p, X->n * sizeof(mbedtls_mpi_uint) );
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/* 1a) d = l - r => we should get the correct carry */
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TEST_EQUAL( mbedtls_mpi_core_sub( da, la, ra, limbs ), (mbedtls_mpi_uint) carry );
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/* 1b) d = l - r => we should get the correct result */
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TEST_EQUAL( memcmp( da, Xa, limbs * sizeof(mbedtls_mpi_uint) ), 0 );
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/* 2 and 3 test "d may be aliased to l or r" */
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/* 2a) l -= r => we should get the correct carry (use d to avoid clobbering l) */
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memcpy( da, la, limbs * sizeof(mbedtls_mpi_uint) );
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TEST_EQUAL( mbedtls_mpi_core_sub( da, da, ra, limbs ), (mbedtls_mpi_uint) carry );
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/* 2b) l -= r => we should get the correct result */
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TEST_EQUAL( memcmp( da, Xa, limbs * sizeof(mbedtls_mpi_uint) ), 0 );
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/* 3a) r = l - r => we should get the correct carry (use d to avoid clobbering r) */
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memcpy( da, ra, limbs * sizeof(mbedtls_mpi_uint) );
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TEST_EQUAL( mbedtls_mpi_core_sub( da, la, da, limbs ), (mbedtls_mpi_uint) carry );
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/* 3b) r = l - r => we should get the correct result */
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TEST_EQUAL( memcmp( da, Xa, limbs * sizeof(mbedtls_mpi_uint) ), 0 );
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exit:
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mbedtls_free( la );
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mbedtls_free( ra );
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mbedtls_free( Xa );
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mbedtls_free( da );
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mbedtls_mpi_free( &X4 );
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mbedtls_mpi_free( &X8 );
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mbedtls_mpi_free( &l );
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mbedtls_mpi_free( &r );
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}
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/* END_CASE */
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/* BEGIN_CASE depends_on:MBEDTLS_SELF_TEST */
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void mpi_selftest( )
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{
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