Add more tests for log functions. A few are commented out because the
long double versions don't pass yet. (They are rather nit-picky cases, so there's ongoing discussion with Bruce about whether it is worth the performance cost.)
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Notes:
svn2git
2020-12-20 02:59:44 +00:00
svn path=/head/; revision=251293
@ -65,20 +65,37 @@ __FBSDID("$FreeBSD$");
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assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \
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} while (0)
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#define test(func, x, result, exceptmask, excepts) do { \
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volatile long double _d = x; \
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assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
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assert(fpequal((func)(_d), (result))); \
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assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \
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} while (0)
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#define test_tol(func, z, result, tol) do { \
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volatile long double _d = z; \
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debug(" testing %6s(%15La) ~= % .36Le\n", #func, _d, result); \
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assert(fpequal_tol((func)(_d), (result), (tol), CS_BOTH)); \
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} while (0)
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/* Test all the functions that compute log(x). */
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#define testall0(x, result, exceptmask, excepts) do { \
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test(log, x, result, exceptmask, excepts); \
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test(logf, x, result, exceptmask, excepts); \
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test(logl, x, result, exceptmask, excepts); \
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test(log2, x, result, exceptmask, excepts); \
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test(log2f, x, result, exceptmask, excepts); \
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test(log2l, x, result, exceptmask, excepts); \
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test(log10, x, result, exceptmask, excepts); \
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test(log10f, x, result, exceptmask, excepts); \
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test(log10l, x, result, exceptmask, excepts); \
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} while (0)
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/* Test all the functions that compute log(1+x). */
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#define testall1(x, result, exceptmask, excepts) do { \
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test(log1p, x, result, exceptmask, excepts); \
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test(log1pf, x, result, exceptmask, excepts); \
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test(log1pl, x, result, exceptmask, excepts); \
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} while (0)
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void
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@ -128,6 +145,13 @@ run_log2_tests(void)
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assert(log2(ldexp(1.0, i)) == i);
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assert(fetestexcept(ALL_STD_EXCEPT) == 0);
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}
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for (i = LDBL_MIN_EXP - LDBL_MANT_DIG; i < LDBL_MAX_EXP; i++) {
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assert(log2l(ldexpl(1.0, i)) == i);
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#if 0
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/* XXX This test does not pass yet. */
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assert(fetestexcept(ALL_STD_EXCEPT) == 0);
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#endif
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}
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}
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void
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@ -139,7 +163,17 @@ run_roundingmode_tests(void)
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*/
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fesetround(FE_DOWNWARD);
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/* These are still positive per IEEE 754R */
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#if 0
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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#else
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/* logl, log2l, and log10l don't pass yet. */
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test(log, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(logf, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log2, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log2f, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log10, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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test(log10f, 1.0, 0.0, ALL_STD_EXCEPT, 0);
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#endif
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testall1(0.0, 0.0, ALL_STD_EXCEPT, 0);
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fesetround(FE_TOWARDZERO);
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testall0(1.0, 0.0, ALL_STD_EXCEPT, 0);
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@ -154,11 +188,84 @@ run_roundingmode_tests(void)
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fesetround(FE_TONEAREST);
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}
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void
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run_accuracy_tests(void)
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{
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static const struct {
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float x;
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long double log2x;
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long double logex;
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long double log10x;
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} tests[] = {
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{ 0x1p-120 + 0x1p-140,
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-1.19999998624139449158861798943319717e2L,
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-8.31776607135195754708796206665656732e1L,
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-3.61235990655024477716980559136055915e1L,
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},
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{ 1.0 - 0x1p-20,
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-1.37586186296463416424364914705656460e-6L,
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-9.53674771153890007250243736279163253e-7L,
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-4.14175690642480911859354110516159131e-7L, },
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{ 1.0 + 0x1p-20,
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1.37586055084113820105668028340371476e-6L,
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9.53673861659188233908415514963336144e-7L,
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4.14175295653950611453333571759200697e-7L },
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{ 19.75,
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4.30378074817710292442728634194115348e0L,
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2.98315349134713087533848129856505779e0L,
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1.29556709996247903756734359702926363e0L },
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{ 19.75 * 0x1p100,
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1.043037807481771029244272863419411534e2L,
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7.229787154734166181706169344438271459e1L,
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3.139856666636059855894123306947856631e1L },
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};
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int i;
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for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) {
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test_tol(log2, tests[i].x, tests[i].log2x, DBL_ULP());
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test_tol(log2f, tests[i].x, tests[i].log2x, FLT_ULP());
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test_tol(log2l, tests[i].x, tests[i].log2x, LDBL_ULP());
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test_tol(log, tests[i].x, tests[i].logex, DBL_ULP());
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test_tol(logf, tests[i].x, tests[i].logex, FLT_ULP());
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test_tol(logl, tests[i].x, tests[i].logex, LDBL_ULP());
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test_tol(log10, tests[i].x, tests[i].log10x, DBL_ULP());
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test_tol(log10f, tests[i].x, tests[i].log10x, FLT_ULP());
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test_tol(log10l, tests[i].x, tests[i].log10x, LDBL_ULP());
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if (tests[i].x >= 0.5) {
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test_tol(log1p, tests[i].x - 1, tests[i].logex,
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DBL_ULP());
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test_tol(log1pf, tests[i].x - 1, tests[i].logex,
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FLT_ULP());
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test_tol(log1pl, tests[i].x - 1, tests[i].logex,
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LDBL_ULP());
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}
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}
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}
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void
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run_log1p_accuracy_tests(void)
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{
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test_tol(log1pf, 0x0.333333p0F,
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1.82321546859847114303367992804596800640e-1L, FLT_ULP());
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test_tol(log1p, 0x0.3333333333333p0,
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1.82321556793954589204283870982629267635e-1L, DBL_ULP());
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test_tol(log1pl, 0x0.33333333333333332p0L,
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1.82321556793954626202683007050468762914e-1L, LDBL_ULP());
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test_tol(log1pf, -0x0.333333p0F,
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-2.23143536413048672940940199918017467652e-1L, FLT_ULP());
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test_tol(log1p, -0x0.3333333333333p0,
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-2.23143551314209700255143859052009022937e-1L, DBL_ULP());
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test_tol(log1pl, -0x0.33333333333333332p0L,
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-2.23143551314209755752742563153765697950e-1L, LDBL_ULP());
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}
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int
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main(int argc, char *argv[])
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{
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printf("1..3\n");
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printf("1..5\n");
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run_generic_tests();
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printf("ok 1 - logarithm\n");
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@ -169,5 +276,11 @@ main(int argc, char *argv[])
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run_roundingmode_tests();
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printf("ok 3 - logarithm\n");
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run_accuracy_tests();
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printf("ok 4 - logarithm\n");
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run_log1p_accuracy_tests();
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printf("ok 5 - logarithm\n");
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return (0);
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}
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