Automatically check sanity of ulps from libm tests.

This patch makes libm-test.inc apply sanity checks to ulps values
resulting from tests, or found in libm-test-ulps files, to avoid the
need for manual checking/editing of new ulps for cases that are
excessively large or involve functions that should not have any ulps.
For IBM long double, errors must be at most 14ulp (the largest
currently checked-in value), or at most 3ulp (the documented error
bound for division) in the case of exactly-determined functions; for
other formats, the limits are 9ulp (also the largest currently
checked-in value) and 0ulp.  Limits from ulps files are saturated to
those bounds, and regen-ulps will ignore any errors outside those
bounds.  (Thus if, say, you have an architecture-specific problem with
fma, the tests can still be XFAILed in auto-libm-test-in, but errors
outside the permitted range can no longer be listed in
libm-test-ulps.)

Tested x86_64.

	* math/libm-test.inc (max_valid_error): New variable.
	(init_max_error): Take new argument specifying whether function
	results are exactly determined.  Set max_valid_error and bound
	other variables for errors based on this argument.
	(set_max_error): Do not record results above max_valid_error.
	(check_float_internal): Only accept errors of up to 0.5ulps if
	also at most max_valid_error.
	(START): Take new argument EXACT and pass it to init_max_error.
	(acos_test): Update call to START.
	(acos_test_tonearest): Likewise.
	(acos_test_towardzero): Likewise.
	(acos_test_downward): Likewise.
	(acos_test_upward): Likewise.
	(acosh_test): Likewise.
	(asin_test): Likewise.
	(asin_test_tonearest): Likewise.
	(asin_test_towardzero): Likewise.
	(asin_test_downward): Likewise.
	(asin_test_upward): Likewise.
	(asinh_test): Likewise.
	(atan_test): Likewise.
	(atanh_test): Likewise.
	(atan2_test): Likewise.
	(cabs_test): Likewise.
	(cacos_test): Likewise.
	(cacosh_test): Likewise.
	(carg_test): Likewise.
	(casin_test): Likewise.
	(casinh_test): Likewise.
	(catan_test): Likewise.
	(catanh_test): Likewise.
	(cbrt_test): Likewise.
	(ccos_test): Likewise.
	(ccosh_test): Likewise.
	(ceil_test): Likewise.
	(cexp_test): Likewise.
	(cimag_test): Likewise.
	(clog_test): Likewise.
	(clog10_test): Likewise.
	(conj_test): Likewise.
	(copysign_test): Likewise.
	(cos_test): Likewise.
	(cos_test_tonearest): Likewise.
	(cos_test_towardzero): Likewise.
	(cos_test_downward): Likewise.
	(cos_test_upward): Likewise.
	(cosh_test): Likewise.
	(cosh_test_tonearest): Likewise.
	(cosh_test_towardzero): Likewise.
	(cosh_test_downward): Likewise.
	(cosh_test_upward): Likewise.
	(cpow_test): Likewise.
	(cproj_test): Likewise.
	(creal_test): Likewise.
	(csin_test): Likewise.
	(csinh_test): Likewise.
	(csqrt_test): Likewise.
	(ctan_test): Likewise.
	(ctan_test_tonearest): Likewise.
	(ctan_test_towardzero): Likewise.
	(ctan_test_downward): Likewise.
	(ctan_test_upward): Likewise.
	(ctanh_test): Likewise.
	(ctanh_test_tonearest): Likewise.
	(ctanh_test_towardzero): Likewise.
	(ctanh_test_downward): Likewise.
	(ctanh_test_upward): Likewise.
	(erf_test): Likewise.
	(erfc_test): Likewise.
	(exp_test): Likewise.
	(exp_test_tonearest): Likewise.
	(exp_test_towardzero): Likewise.
	(exp_test_downward): Likewise.
	(exp_test_upward): Likewise.
	(exp10_test): Likewise.
	(exp10_test_tonearest): Likewise.
	(exp10_test_towardzero): Likewise.
	(exp10_test_downward): Likewise.
	(exp10_test_upward): Likewise.
	(pow10_test): Likewise.
	(exp2_test): Likewise.
	(expm1_test): Likewise.
	(expm1_test_tonearest): Likewise.
	(expm1_test_towardzero): Likewise.
	(expm1_test_downward): Likewise.
	(expm1_test_upward): Likewise.
	(fabs_test): Likewise.
	(fdim_test): Likewise.
	(floor_test): Likewise.
	(fma_test): Likewise.
	(fma_test_towardzero): Likewise.
	(fma_test_downward): Likewise.
	(fma_test_upward): Likewise.
	(fmax_test): Likewise.
	(fmin_test): Likewise.
	(fmod_test): Likewise.
	(fpclassify_test): Likewise.
	(frexp_test): Likewise.
	(hypot_test): Likewise.
	(ilogb_test): Likewise.
	(isfinite_test): Likewise.
	(finite_test): Likewise.
	(isgreater_test): Likewise.
	(isgreaterequal_test): Likewise.
	(isinf_test): Likewise.
	(isless_test): Likewise.
	(islessequal_test): Likewise.
	(islessgreater_test): Likewise.
	(isnan_test): Likewise.
	(isnormal_test): Likewise.
	(issignaling_test): Likewise.
	(isunordered_test): Likewise.
	(j0_test): Likewise.
	(j1_test): Likewise.
	(jn_test): Likewise.
	(ldexp_test): Likewise.
	(lgamma_test): Likewise.
	(gamma_test): Likewise.
	(lrint_test): Likewise.
	(lrint_test_tonearest): Likewise.
	(lrint_test_towardzero): Likewise.
	(lrint_test_downward): Likewise.
	(lrint_test_upward): Likewise.
	(llrint_test): Likewise.
	(llrint_test_tonearest): Likewise.
	(llrint_test_towardzero): Likewise.
	(llrint_test_downward): Likewise.
	(llrint_test_upward): Likewise.
	(log_test): Likewise.
	(log10_test): Likewise.
	(log1p_test): Likewise.
	(log2_test): Likewise.
	(logb_test): Likewise.
	(logb_test_downward): Likewise.
	(lround_test): Likewise.
	(llround_test): Likewise.
	(modf_test): Likewise.
	(nearbyint_test): Likewise.
	(nextafter_test): Likewise.
	(nexttoward_test): Likewise.
	(pow_test): Likewise.
	(pow_test_tonearest): Likewise.
	(pow_test_towardzero): Likewise.
	(pow_test_downward): Likewise.
	(pow_test_upward): Likewise.
	(remainder_test): Likewise.
	(drem_test): Likewise.
	(remainder_test_tonearest): Likewise.
	(drem_test_tonearest): Likewise.
	(remainder_test_towardzero): Likewise.
	(drem_test_towardzero): Likewise.
	(remainder_test_downward): Likewise.
	(drem_test_downward): Likewise.
	(remainder_test_upward): Likewise.
	(drem_test_upward): Likewise.
	(remquo_test): Likewise.
	(rint_test): Likewise.
	(rint_test_tonearest): Likewise.
	(rint_test_towardzero): Likewise.
	(rint_test_downward): Likewise.
	(rint_test_upward): Likewise.
	(round_test): Likewise.
	(scalb_test): Likewise.
	(scalbn_test): Likewise.
	(scalbln_test): Likewise.
	(signbit_test): Likewise.
	(sin_test): Likewise.
	(sin_test_tonearest): Likewise.
	(sin_test_towardzero): Likewise.
	(sin_test_downward): Likewise.
	(sin_test_upward): Likewise.
	(sincos_test): Likewise.
	(sinh_test): Likewise.
	(sinh_test_tonearest): Likewise.
	(sinh_test_towardzero): Likewise.
	(sinh_test_downward): Likewise.
	(sinh_test_upward): Likewise.
	(sqrt_test): Likewise.
	(sqrt_test_tonearest): Likewise.
	(sqrt_test_towardzero): Likewise.
	(sqrt_test_downward): Likewise.
	(sqrt_test_upward): Likewise.
	(tan_test): Likewise.
	(tan_test_tonearest): Likewise.
	(tan_test_towardzero): Likewise.
	(tan_test_downward): Likewise.
	(tan_test_upward): Likewise.
	(tanh_test): Likewise.
	(tgamma_test): Likewise.
	(trunc_test): Likewise.
	(y0_test): Likewise.
	(y1_test): Likewise.
	(yn_test): Likewise.
	(significand_test): Likewise.

ChangeLog

@@ -1,5 +1,200 @@
 2014-03-05  Joseph Myers  <joseph@codesourcery.com>
 
+	* math/libm-test.inc (max_valid_error): New variable.
+	(init_max_error): Take new argument specifying whether function
+	results are exactly determined.  Set max_valid_error and bound
+	other variables for errors based on this argument.
+	(set_max_error): Do not record results above max_valid_error.
+	(check_float_internal): Only accept errors of up to 0.5ulps if
+	also at most max_valid_error.
+	(START): Take new argument EXACT and pass it to init_max_error.
+	(acos_test): Update call to START.
+	(acos_test_tonearest): Likewise.
+	(acos_test_towardzero): Likewise.
+	(acos_test_downward): Likewise.
+	(acos_test_upward): Likewise.
+	(acosh_test): Likewise.
+	(asin_test): Likewise.
+	(asin_test_tonearest): Likewise.
+	(asin_test_towardzero): Likewise.
+	(asin_test_downward): Likewise.
+	(asin_test_upward): Likewise.
+	(asinh_test): Likewise.
+	(atan_test): Likewise.
+	(atanh_test): Likewise.
+	(atan2_test): Likewise.
+	(cabs_test): Likewise.
+	(cacos_test): Likewise.
+	(cacosh_test): Likewise.
+	(carg_test): Likewise.
+	(casin_test): Likewise.
+	(casinh_test): Likewise.
+	(catan_test): Likewise.
+	(catanh_test): Likewise.
+	(cbrt_test): Likewise.
+	(ccos_test): Likewise.
+	(ccosh_test): Likewise.
+	(ceil_test): Likewise.
+	(cexp_test): Likewise.
+	(cimag_test): Likewise.
+	(clog_test): Likewise.
+	(clog10_test): Likewise.
+	(conj_test): Likewise.
+	(copysign_test): Likewise.
+	(cos_test): Likewise.
+	(cos_test_tonearest): Likewise.
+	(cos_test_towardzero): Likewise.
+	(cos_test_downward): Likewise.
+	(cos_test_upward): Likewise.
+	(cosh_test): Likewise.
+	(cosh_test_tonearest): Likewise.
+	(cosh_test_towardzero): Likewise.
+	(cosh_test_downward): Likewise.
+	(cosh_test_upward): Likewise.
+	(cpow_test): Likewise.
+	(cproj_test): Likewise.
+	(creal_test): Likewise.
+	(csin_test): Likewise.
+	(csinh_test): Likewise.
+	(csqrt_test): Likewise.
+	(ctan_test): Likewise.
+	(ctan_test_tonearest): Likewise.
+	(ctan_test_towardzero): Likewise.
+	(ctan_test_downward): Likewise.
+	(ctan_test_upward): Likewise.
+	(ctanh_test): Likewise.
+	(ctanh_test_tonearest): Likewise.
+	(ctanh_test_towardzero): Likewise.
+	(ctanh_test_downward): Likewise.
+	(ctanh_test_upward): Likewise.
+	(erf_test): Likewise.
+	(erfc_test): Likewise.
+	(exp_test): Likewise.
+	(exp_test_tonearest): Likewise.
+	(exp_test_towardzero): Likewise.
+	(exp_test_downward): Likewise.
+	(exp_test_upward): Likewise.
+	(exp10_test): Likewise.
+	(exp10_test_tonearest): Likewise.
+	(exp10_test_towardzero): Likewise.
+	(exp10_test_downward): Likewise.
+	(exp10_test_upward): Likewise.
+	(pow10_test): Likewise.
+	(exp2_test): Likewise.
+	(expm1_test): Likewise.
+	(expm1_test_tonearest): Likewise.
+	(expm1_test_towardzero): Likewise.
+	(expm1_test_downward): Likewise.
+	(expm1_test_upward): Likewise.
+	(fabs_test): Likewise.
+	(fdim_test): Likewise.
+	(floor_test): Likewise.
+	(fma_test): Likewise.
+	(fma_test_towardzero): Likewise.
+	(fma_test_downward): Likewise.
+	(fma_test_upward): Likewise.
+	(fmax_test): Likewise.
+	(fmin_test): Likewise.
+	(fmod_test): Likewise.
+	(fpclassify_test): Likewise.
+	(frexp_test): Likewise.
+	(hypot_test): Likewise.
+	(ilogb_test): Likewise.
+	(isfinite_test): Likewise.
+	(finite_test): Likewise.
+	(isgreater_test): Likewise.
+	(isgreaterequal_test): Likewise.
+	(isinf_test): Likewise.
+	(isless_test): Likewise.
+	(islessequal_test): Likewise.
+	(islessgreater_test): Likewise.
+	(isnan_test): Likewise.
+	(isnormal_test): Likewise.
+	(issignaling_test): Likewise.
+	(isunordered_test): Likewise.
+	(j0_test): Likewise.
+	(j1_test): Likewise.
+	(jn_test): Likewise.
+	(ldexp_test): Likewise.
+	(lgamma_test): Likewise.
+	(gamma_test): Likewise.
+	(lrint_test): Likewise.
+	(lrint_test_tonearest): Likewise.
+	(lrint_test_towardzero): Likewise.
+	(lrint_test_downward): Likewise.
+	(lrint_test_upward): Likewise.
+	(llrint_test): Likewise.
+	(llrint_test_tonearest): Likewise.
+	(llrint_test_towardzero): Likewise.
+	(llrint_test_downward): Likewise.
+	(llrint_test_upward): Likewise.
+	(log_test): Likewise.
+	(log10_test): Likewise.
+	(log1p_test): Likewise.
+	(log2_test): Likewise.
+	(logb_test): Likewise.
+	(logb_test_downward): Likewise.
+	(lround_test): Likewise.
+	(llround_test): Likewise.
+	(modf_test): Likewise.
+	(nearbyint_test): Likewise.
+	(nextafter_test): Likewise.
+	(nexttoward_test): Likewise.
+	(pow_test): Likewise.
+	(pow_test_tonearest): Likewise.
+	(pow_test_towardzero): Likewise.
+	(pow_test_downward): Likewise.
+	(pow_test_upward): Likewise.
+	(remainder_test): Likewise.
+	(drem_test): Likewise.
+	(remainder_test_tonearest): Likewise.
+	(drem_test_tonearest): Likewise.
+	(remainder_test_towardzero): Likewise.
+	(drem_test_towardzero): Likewise.
+	(remainder_test_downward): Likewise.
+	(drem_test_downward): Likewise.
+	(remainder_test_upward): Likewise.
+	(drem_test_upward): Likewise.
+	(remquo_test): Likewise.
+	(rint_test): Likewise.
+	(rint_test_tonearest): Likewise.
+	(rint_test_towardzero): Likewise.
+	(rint_test_downward): Likewise.
+	(rint_test_upward): Likewise.
+	(round_test): Likewise.
+	(scalb_test): Likewise.
+	(scalbn_test): Likewise.
+	(scalbln_test): Likewise.
+	(signbit_test): Likewise.
+	(sin_test): Likewise.
+	(sin_test_tonearest): Likewise.
+	(sin_test_towardzero): Likewise.
+	(sin_test_downward): Likewise.
+	(sin_test_upward): Likewise.
+	(sincos_test): Likewise.
+	(sinh_test): Likewise.
+	(sinh_test_tonearest): Likewise.
+	(sinh_test_towardzero): Likewise.
+	(sinh_test_downward): Likewise.
+	(sinh_test_upward): Likewise.
+	(sqrt_test): Likewise.
+	(sqrt_test_tonearest): Likewise.
+	(sqrt_test_towardzero): Likewise.
+	(sqrt_test_downward): Likewise.
+	(sqrt_test_upward): Likewise.
+	(tan_test): Likewise.
+	(tan_test_tonearest): Likewise.
+	(tan_test_towardzero): Likewise.
+	(tan_test_downward): Likewise.
+	(tan_test_upward): Likewise.
+	(tanh_test): Likewise.
+	(tgamma_test): Likewise.
+	(trunc_test): Likewise.
+	(y0_test): Likewise.
+	(y1_test): Likewise.
+	(yn_test): Likewise.
+	(significand_test): Likewise.
+
 	* math/libm-test.inc (struct ulp_data): Don't refer to ulps for
 	individual tests in comment.
 	(libm-test-ulps.h): Don't refer to test_ulps in #include comment.