@@ -1373,19 +1373,212 @@ void helper_fprem(CPUX86State *env)
helper_fprem_common(env, true);
}
+/* 128-bit significand of log2(e). */
+#define log2_e_sig_high 0xb8aa3b295c17f0bbULL
+#define log2_e_sig_low 0xbe87fed0691d3e89ULL
+
+/*
+ * Polynomial coefficients for an approximation to log2((1+x)/(1-x)),
+ * with only odd powers of x used, for x in the interval [2*sqrt(2)-3,
+ * 3-2*sqrt(2)], which corresponds to logarithms of numbers in the
+ * interval [sqrt(2)/2, sqrt(2)].
+ */
+#define fyl2x_coeff_0 make_floatx80(0x4000, 0xb8aa3b295c17f0bcULL)
+#define fyl2x_coeff_0_low make_floatx80(0xbfbf, 0x834972fe2d7bab1bULL)
+#define fyl2x_coeff_1 make_floatx80(0x3ffe, 0xf6384ee1d01febb8ULL)
+#define fyl2x_coeff_2 make_floatx80(0x3ffe, 0x93bb62877cdfa2e3ULL)
+#define fyl2x_coeff_3 make_floatx80(0x3ffd, 0xd30bb153d808f269ULL)
+#define fyl2x_coeff_4 make_floatx80(0x3ffd, 0xa42589eaf451499eULL)
+#define fyl2x_coeff_5 make_floatx80(0x3ffd, 0x864d42c0f8f17517ULL)
+#define fyl2x_coeff_6 make_floatx80(0x3ffc, 0xe3476578adf26272ULL)
+#define fyl2x_coeff_7 make_floatx80(0x3ffc, 0xc506c5f874e6d80fULL)
+#define fyl2x_coeff_8 make_floatx80(0x3ffc, 0xac5cf50cc57d6372ULL)
+#define fyl2x_coeff_9 make_floatx80(0x3ffc, 0xb1ed0066d971a103ULL)
+
void helper_fyl2xp1(CPUX86State *env)
{
- double fptemp = floatx80_to_double(env, ST0);
-
- if ((fptemp + 1.0) > 0.0) {
- fptemp = log(fptemp + 1.0) / log(2.0); /* log2(ST + 1.0) */
- fptemp *= floatx80_to_double(env, ST1);
- ST1 = double_to_floatx80(env, fptemp);
- fpop(env);
+ uint8_t old_flags = save_exception_flags(env);
+ uint64_t arg0_sig = extractFloatx80Frac(ST0);
+ int32_t arg0_exp = extractFloatx80Exp(ST0);
+ bool arg0_sign = extractFloatx80Sign(ST0);
+ uint64_t arg1_sig = extractFloatx80Frac(ST1);
+ int32_t arg1_exp = extractFloatx80Exp(ST1);
+ bool arg1_sign = extractFloatx80Sign(ST1);
+
+ if (floatx80_is_signaling_nan(ST0, &env->fp_status)) {
+ float_raise(float_flag_invalid, &env->fp_status);
+ ST1 = floatx80_silence_nan(ST0, &env->fp_status);
+ } else if (floatx80_is_signaling_nan(ST1, &env->fp_status)) {
+ float_raise(float_flag_invalid, &env->fp_status);
+ ST1 = floatx80_silence_nan(ST1, &env->fp_status);
+ } else if (floatx80_invalid_encoding(ST0) ||
+ floatx80_invalid_encoding(ST1)) {
+ float_raise(float_flag_invalid, &env->fp_status);
+ ST1 = floatx80_default_nan(&env->fp_status);
+ } else if (floatx80_is_any_nan(ST0)) {
+ ST1 = ST0;
+ } else if (floatx80_is_any_nan(ST1)) {
+ /* Pass this NaN through. */
+ } else if (arg0_exp > 0x3ffd ||
+ (arg0_exp == 0x3ffd && arg0_sig > (arg0_sign ?
+ 0x95f619980c4336f7ULL :
+ 0xd413cccfe7799211ULL))) {
+ /*
+ * Out of range for the instruction (ST0 must have absolute
+ * value less than 1 - sqrt(2)/2 = 0.292..., according to
+ * Intel manuals; AMD manuals allow a range from sqrt(2)/2 - 1
+ * to sqrt(2) - 1, which we allow here), treat as invalid.
+ */
+ float_raise(float_flag_invalid, &env->fp_status);
+ ST1 = floatx80_default_nan(&env->fp_status);
+ } else if (floatx80_is_zero(ST0) || floatx80_is_zero(ST1) ||
+ arg1_exp == 0x7fff) {
+ /*
+ * One argument is zero, or multiplying by infinity; correct
+ * result is exact and can be obtained by multiplying the
+ * arguments.
+ */
+ ST1 = floatx80_mul(ST0, ST1, &env->fp_status);
+ } else if (arg0_exp < 0x3fb0) {
+ /*
+ * Multiplying both arguments and an extra-precision version
+ * of log2(e) is sufficiently precise.
+ */
+ uint64_t sig0, sig1, sig2;
+ int32_t exp;
+ if (arg0_exp == 0) {
+ normalizeFloatx80Subnormal(arg0_sig, &arg0_exp, &arg0_sig);
+ }
+ if (arg1_exp == 0) {
+ normalizeFloatx80Subnormal(arg1_sig, &arg1_exp, &arg1_sig);
+ }
+ mul128By64To192(log2_e_sig_high, log2_e_sig_low, arg0_sig,
+ &sig0, &sig1, &sig2);
+ exp = arg0_exp + 1;
+ mul128By64To192(sig0, sig1, arg1_sig, &sig0, &sig1, &sig2);
+ exp += arg1_exp - 0x3ffe;
+ /* This result is inexact. */
+ sig1 |= 1;
+ ST1 = normalizeRoundAndPackFloatx80(80, arg0_sign ^ arg1_sign, exp,
+ sig0, sig1, &env->fp_status);
} else {
- env->fpus &= ~0x4700;
- env->fpus |= 0x400;
+ bool asign;
+ uint32_t dexp, texp, aexp;
+ uint64_t dsig0, dsig1, tsig0, tsig1, rsig0, rsig1, rsig2;
+ uint64_t msig0, msig1, msig2, t2sig0, t2sig1, t2sig2, t2sig3;
+ uint64_t asig0, asig1, asig2, asig3, bsig0, bsig1;
+ floatx80 t2, accum;
+ FloatRoundMode save_mode = env->fp_status.float_rounding_mode;
+ signed char save_prec = env->fp_status.floatx80_rounding_precision;
+ env->fp_status.float_rounding_mode = float_round_nearest_even;
+ env->fp_status.floatx80_rounding_precision = 80;
+
+ /*
+ * Compute an approximation of ST0/(2+ST0), with extra
+ * precision, as the argument to a polynomial approximation.
+ * The extra precision is only needed for the first term of
+ * the approximation, with subsequent terms being
+ * significantly smaller; the approximation only uses odd
+ * exponents, and the square of ST0/(2+ST0) is at most
+ * 17-12*sqrt(2) = 0.029....
+ */
+ if (arg0_sign) {
+ dexp = 0x3fff;
+ shift128RightJamming(arg0_sig, 0, dexp - arg0_exp, &dsig0, &dsig1);
+ sub128(0, 0, dsig0, dsig1, &dsig0, &dsig1);
+ } else {
+ dexp = 0x4000;
+ shift128RightJamming(arg0_sig, 0, dexp - arg0_exp, &dsig0, &dsig1);
+ dsig0 |= 0x8000000000000000ULL;
+ }
+ texp = arg0_exp - dexp + 0x3ffe;
+ rsig0 = arg0_sig;
+ rsig1 = 0;
+ rsig2 = 0;
+ if (dsig0 <= rsig0) {
+ shift128Right(rsig0, rsig1, 1, &rsig0, &rsig1);
+ ++texp;
+ }
+ tsig0 = estimateDiv128To64(rsig0, rsig1, dsig0);
+ mul128By64To192(dsig0, dsig1, tsig0, &msig0, &msig1, &msig2);
+ sub192(rsig0, rsig1, rsig2, msig0, msig1, msig2,
+ &rsig0, &rsig1, &rsig2);
+ while ((int64_t) rsig0 < 0) {
+ --tsig0;
+ add192(rsig0, rsig1, rsig2, 0, dsig0, dsig1,
+ &rsig0, &rsig1, &rsig2);
+ }
+ tsig1 = estimateDiv128To64(rsig1, rsig2, dsig0);
+ /*
+ * No need to correct any estimation error in tsig1; even with
+ * such error, it is accurate enough. Now compute the square
+ * of that approximation.
+ */
+ mul128To256(tsig0, tsig1, tsig0, tsig1,
+ &t2sig0, &t2sig1, &t2sig2, &t2sig3);
+ t2 = normalizeRoundAndPackFloatx80(80, false, texp + texp - 0x3ffe,
+ t2sig0, t2sig1, &env->fp_status);
+
+ /* Compute the lower parts of the polynomial expansion. */
+ accum = floatx80_mul(fyl2x_coeff_9, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_8, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_7, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_6, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_5, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_4, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_3, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_2, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_1, accum, &env->fp_status);
+ accum = floatx80_mul(accum, t2, &env->fp_status);
+ accum = floatx80_add(fyl2x_coeff_0_low, accum, &env->fp_status);
+
+ /*
+ * The full polynomial expansion is fyl2x_coeff_0 + accum
+ * (where accum has much lower magnitude, and so, in
+ * particular, carry out of the addition is not possible),
+ * multiplied by t. (This expansion is only accurate to about
+ * 70 bits, not 128 bits.)
+ */
+ aexp = extractFloatx80Exp(fyl2x_coeff_0);
+ asign = extractFloatx80Sign(fyl2x_coeff_0);
+ shift128RightJamming(extractFloatx80Frac(accum), 0,
+ aexp - extractFloatx80Exp(accum),
+ &asig0, &asig1);
+ bsig0 = extractFloatx80Frac(fyl2x_coeff_0);
+ bsig1 = 0;
+ if (asign == extractFloatx80Sign(accum)) {
+ add128(bsig0, bsig1, asig0, asig1, &asig0, &asig1);
+ } else {
+ sub128(bsig0, bsig1, asig0, asig1, &asig0, &asig1);
+ }
+ /*
+ * Multiply by t and by the second argument to compute the
+ * required result.
+ */
+ mul128To256(asig0, asig1, tsig0, tsig1,
+ &asig0, &asig1, &asig2, &asig3);
+ aexp += texp - 0x3ffe;
+ if (arg1_exp == 0) {
+ normalizeFloatx80Subnormal(arg1_sig, &arg1_exp, &arg1_sig);
+ }
+ mul128By64To192(asig0, asig1, arg1_sig, &asig0, &asig1, &asig2);
+ aexp += arg1_exp - 0x3ffe;
+ /* This result is inexact. */
+ asig1 |= 1;
+ env->fp_status.float_rounding_mode = save_mode;
+ ST1 = normalizeRoundAndPackFloatx80(80, arg0_sign ^ arg1_sign, aexp,
+ asig0, asig1, &env->fp_status);
+ env->fp_status.floatx80_rounding_precision = save_prec;
}
+ fpop(env);
+ merge_exception_flags(env, old_flags);
}
void helper_fsqrt(CPUX86State *env)
new file mode 100644
@@ -0,0 +1,1156 @@
+/* Test fyl2xp1 instruction. */
+
+#include <stdio.h>
+
+struct test {
+ long double arg0, arg1, down, up;
+};
+
+const struct test tests[] = {
+ { 0.0L, 12345.0L, 0.0L, 0.0L },
+ { 0.0L, -12345.0L, -0.0L, -0.0L },
+ { -0.0L, 12345.0L, -0.0L, -0.0L },
+ { -0.0L, -12345.0L, 0.0L, 0.0L },
+ { 0.0L, 0.0L, 0.0L, 0.0L },
+ { 0.0L, -0.0L, -0.0L, -0.0L },
+ { -0.0L, 0.0L, -0.0L, -0.0L },
+ { -0.0L, -0.0L, 0.0L, 0.0L },
+ { 0.1L, 0.0L, 0.0L, 0.0L },
+ { 0.1L, -0.0L, -0.0L, -0.0L },
+ { -0.1L, 0.0L, -0.0L, -0.0L },
+ { -0.1L, -0.0L, 0.0L, 0.0L },
+ { 0.1L, __builtin_infl(), __builtin_infl(), __builtin_infl() },
+ { 0.1L, -__builtin_infl(), -__builtin_infl(), -__builtin_infl() },
+ { -0.1L, __builtin_infl(), -__builtin_infl(), -__builtin_infl() },
+ { -0.1L, -__builtin_infl(), __builtin_infl(), __builtin_infl() },
+ { 0x4p-4L, 0x1p-16400L, 0x5.269e12f3468p-16404L, 0x5.269e12f347p-16404L },
+ /* Randomly generated tests. */
+ { 0x1.31edb79669dd58b4p-4L, 0x6.c25439d8a5ce071p+14380L, 0xb.3d0da52c1f58af3p+14376L, 0xb.3d0da52c1f58af4p+14376L },
+ { -0x1.8ee6680c65ce5a5p-4L, -0x7.423575b7ac0ba6a8p-2228L, 0x1.12aefa96f5501268p-2228L, 0x1.12aefa96f550126ap-2228L },
+ { 0x2.a22cf9563bdd84bcp-140L, -0x2.de6fb39cd2988858p-9616L, -0xa.e65ebedd6a09e4cp-9756L, -0xa.e65ebedd6a09e4bp-9756L },
+ { -0x7.d1095c8p-16416L, 0x1.faa600d255691f3cp+6420L, -0x1.6516c14a553da39ap-9992L, -0x1.6516c14a553da398p-9992L },
+ { 0x4.109249df7871ecb8p-4L, 0x1.48d8eebeb8e650ccp-4976L, 0x6.b65f4ea303a8bc3p-4980L, 0x6.b65f4ea303a8bc38p-4980L },
+ { -0x4.69bcd5ccca0e4b7p-4L, -0x5.8808ae941f249bb8p+5056L, 0x2.93432047c7d8a37p+5056L, 0x2.93432047c7d8a374p+5056L },
+ { 0x3.311f29ec8b38ef74p-4L, -0x3.9865a5505c3ae018p+8924L, -0xf.188d6a2bba06e17p+8920L, -0xf.188d6a2bba06e16p+8920L },
+ { -0x2.d60110be2e4f812p-4L, 0x9.d61827e646421b3p-11580L, -0x2.c4c3e84b6c7366c8p-11580L, -0x2.c4c3e84b6c7366c4p-11580L },
+ { 0xe.e4d7ebcee10774ap-8L, 0x6.5cde5b7691984918p+732L, 0x8.4e3d353f31e18a3p+728L, 0x8.4e3d353f31e18a4p+728L },
+ { -0x2.a675c1a9bd30047cp-4L, 0x7.6eae536d8312ebb8p+364L, -0x1.f116f2eaf6acba9ep+364L, -0x1.f116f2eaf6acba9cp+364L },
+ { 0xb.b88ac679a0d52c7p-8L, 0x1.9e45eb57212a1f62p-8572L, 0x1.ac193570d9ac8e8p-8576L, 0x1.ac193570d9ac8e82p-8576L },
+ { -0x4.64109ab4700cf108p-4L, 0x6.b8d96cb8e5f2d648p+6524L, -0x3.1c6e7c0e4e7a72cp+6524L, -0x3.1c6e7c0e4e7a72bcp+6524L },
+ { 0x3.e104f8db9c02bf08p-4L, -0x9.7b905723db3fe54p+10116L, -0x2.f83eb6c0529e814p+10116L, -0x2.f83eb6c0529e813cp+10116L },
+ { -0x3.906c6b45a9367874p-4L, -0x3.b4f349ff071caa64p-1868L, 0x1.5901debf0c548972p-1868L, 0x1.5901debf0c548974p-1868L },
+ { 0x1.a960a3b0bddab872p-4L, -0xa.80f80d092c59d2fp+14796L, -0x1.7f4db50bf3cd7588p+14796L, -0x1.7f4db50bf3cd7586p+14796L },
+ { -0x1.422d05691d16c3c2p-4L, -0x3.b7afc1088aafbb28p+8056L, 0x7.07a7a145b32d0108p+8052L, 0x7.07a7a145b32d011p+8052L },
+ { 0x3.005497260bfe3efcp-4L, 0x2.70b5fc4ea650b9d4p+13164L, 0x9.af1b9b78be96p+13160L, 0x9.af1b9b78be96001p+13160L },
+ { -0x3.06e1d8ce558315f4p-4L, 0xd.35a31147278a276p+13452L, -0x3.ff1a81342b225bf4p+13452L, -0x3.ff1a81342b225bfp+13452L },
+ { 0x5.0312793de5c8af88p-8L, -0x1.4d64bd7151f8f83ep+13040L, -0x9.53672f561e11e6dp+13032L, -0x9.53672f561e11e6cp+13032L },
+ { -0x4.6fd8156d1cd1594p-4L, 0x1.2bbce9cdd6e3b99ep+2372L, -0x8.c70a26daa3a50c9p+2368L, -0x8.c70a26daa3a50c8p+2368L },
+ { 0x1.eab2d269541adaap-4L, 0x6.ac21c841f135e818p-10084L, 0x1.16d60a1c1c53feb2p-10084L, 0x1.16d60a1c1c53feb4p-10084L },
+ { -0x3.f7c63bee23b61aep-4L, -0x1.a4746c335dbffc62p+13532L, 0xa.ce1e8b95a3cf783p+13528L, 0xa.ce1e8b95a3cf784p+13528L },
+ { 0x2.6770b5d4fbdb93ap-4L, 0x2.d0747a0fc160c9d8p-680L, 0x9.17f6580ba6d8d8fp-684L, 0x9.17f6580ba6d8d9p-684L },
+ { -0x4.0c0f16fccf171958p-4L, -0x3.809f02e6f0a4a7ccp-632L, 0x1.793819991e50c69p-632L, 0x1.793819991e50c692p-632L },
+ { 0x2.810e5178p-16416L, -0x2.449b1281f31c58ccp-8912L, -0x8p-16448L, -0x0p+0L },
+ { -0x9.d14aa8cda67cd5p-80L, 0x2.3ff156f07699390cp+1860L, -0x1.fdd7e7674c238f56p+1784L, -0x1.fdd7e7674c238f54p+1784L },
+ { 0x4.336973fa388adee8p-4L, 0x6.68a249106b0173e8p+1992L, 0x2.27d09f940daa748cp+1992L, 0x2.27d09f940daa749p+1992L },
+ { -0x2.975eb02ec54042c4p-4L, -0xe.5f17872c08b122dp+7300L, 0x3.a9ce29cce0f873bp+7300L, 0x3.a9ce29cce0f873b4p+7300L },
+ { 0x3.18142b116ed172acp-4L, -0x4.c54f6758e57de6ap+2080L, -0x1.377f5497b5e407dcp+2080L, -0x1.377f5497b5e407dap+2080L },
+ { -0x1.1bbc90a005c56912p-4L, -0x4.a9cd0b7c6a571cd8p+5332L, 0x7.ba3b3fc9d3dba0f8p+5328L, 0x7.ba3b3fc9d3dba1p+5328L },
+ { 0x1.7e8efe16b98d3692p-8L, -0x3.dde86e3bf4d91464p-4156L, -0x8.4ff4f144076f27ep-4164L, -0x8.4ff4f144076f27dp-4164L },
+ { -0xa.7e96579f3a805bp-8L, -0x7.ab5c584ae971a368p+6308L, 0x7.6906aa4947cba078p+6304L, 0x7.6906aa4947cba08p+6304L },
+ { 0x1.9eca084b5e88755ep-4L, 0xf.227ce981b624ea7p+11116L, 0x2.1b30979fa829e6dcp+11116L, 0x2.1b30979fa829e6ep+11116L },
+ { -0x2.1874c2d880381c8p-4L, -0x1.137b3104db6109dap-5420L, 0x3.7ca97456f9d67034p-5424L, 0x3.7ca97456f9d67038p-5424L },
+ { 0x3.198e690cee01623p-4L, -0x1.adc155088273f77ep+13812L, -0x6.dcc1714e4ba0c37p+13808L, -0x6.dcc1714e4ba0c368p+13808L },
+ { -0x4.6551f788f1588b28p-4L, -0x7.69f3a55b24a9777p+428L, 0x3.6f8dc0f3c3d2cf44p+428L, 0x3.6f8dc0f3c3d2cf48p+428L },
+ { 0x7.88f397834128293p-8L, 0x6.bf38fb4299638c08p-960L, 0x4.849080f3ab11f818p-964L, 0x4.849080f3ab11f82p-964L },
+ { -0x1.b55f0bbc95324732p-4L, 0x1.b42e17120776fe52p-13916L, -0x4.70f2c0a6bc44465p-13920L, -0x4.70f2c0a6bc444648p-13920L },
+ { 0x3.32c5f1314a8c6dap-4L, -0x1.bdb2f33681f41db6p+12272L, -0x7.52da7e0b1bed5968p+12268L, -0x7.52da7e0b1bed596p+12268L },
+ { -0x3.36905b81e589d9e8p-4L, 0x3.d8dded4726d3fb34p+784L, -0x1.3e840521ab659a96p+784L, -0x1.3e840521ab659a94p+784L },
+ { 0x2.f78a13ae770dc39cp-4L, -0x3.cf1123d327fd9024p-9600L, -0xe.f4c0070f6303241p-9604L, -0xe.f4c0070f630324p-9604L },
+ { -0x3.5c99081287a8051p-4L, -0x1.70700e3356c86b3cp+7752L, 0x7.d5e5870a6e18d73p+7748L, 0x7.d5e5870a6e18d738p+7748L },
+ { 0xa.dd6d280bcc33172p-8L, -0xf.1ff631d3dfa8c85p+4928L, -0xe.82fa32a3cab9bcep+4924L, -0xe.82fa32a3cab9bcdp+4924L },
+ { -0x2.ecbb3c2ebebf283p-4L, -0x3.212b343a660ecbb4p+4672L, 0xe.953534ceecbfcf2p+4668L, 0xe.953534ceecbfcf3p+4668L },
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+ { 0x1.d8602eb4d94e28ecp-4L, -0x2.bae59a7e7af9a67cp+3584L, -0x6.e0d5db7658c5c028p+3580L, -0x6.e0d5db7658c5c02p+3580L },
+ { -0x3.6c3a213e7b4881bp-4L, 0x5.494bb22b56f01408p+10044L, -0x1.d5f0eafdebb7153ep+10044L, -0x1.d5f0eafdebb7153cp+10044L },
+ { 0x1.93f52cf9da54bfd2p-188L, 0x6.7a10e84122b54878p+13800L, 0xe.be9ca7b0c77d0b6p+13612L, 0xe.be9ca7b0c77d0b7p+13612L },
+ { -0x4.58f5e4ap-16416L, -0x1.fe7de6b1cc44106ep+8880L, 0xc.81dd9ac770a9c4dp-7536L, 0xc.81dd9ac770a9c4ep-7536L },
+ { 0x5.27c48a1ec2d6863p-8L, 0x2.977a191025cba5c4p+5568L, 0x1.315a3386fa9d6726p+5564L, 0x1.315a3386fa9d6728p+5564L },
+ { -0x2.eb002870df40a93p-4L, -0x5.08c29ee62ab9a4c8p+692L, 0x1.765dc5a976721a6ap+692L, 0x1.765dc5a976721a6cp+692L },
+ { 0x2.35b97b8a544150a4p-4L, -0x1.876176fc24a19868p-12496L, -0x4.90cea080288cc9c8p-12500L, -0x4.90cea080288cc9cp-12500L },
+ { -0x4.20fe502368675c3p-4L, 0x2.89b504f1eeca05ep+14364L, -0x1.17c6332d638442ecp+14364L, -0x1.17c6332d638442eap+14364L },
+ { 0x1.3507193d9fcdf874p-8L, -0x4.44ed38babbc1a31p-6140L, -0x7.6ae54c90c135363p-6148L, -0x7.6ae54c90c1353628p-6148L },
+ { -0x4.9c77377231cc5c68p-4L, 0x3.0df98b1b24a9fd5p+8788L, -0x1.7f86156db3450b48p+8788L, -0x1.7f86156db3450b46p+8788L },
+ { 0x4.6bfb936cb1cc028p-4L, 0x1.a2b46ba8847fdacap+12288L, 0x9.36677b413811f5ap+12284L, 0x9.36677b413811f5bp+12284L },
+ { -0x7.fe3a8eade3847d6p-8L, -0x1.2e4dc4b59c87951ep-5840L, 0xd.d59f3e0866526ffp-5848L, 0xd.d59f3e0866527p-5848L },
+ { 0x3.bd32a8458d6aa984p-4L, 0xf.95ff672171f9ce3p-5912L, 0x4.b8e4b10ffb79ebfp-5912L, 0x4.b8e4b10ffb79ebf8p-5912L },
+ { -0xf.68a5c2a7fb327c8p-8L, -0xd.06212bca315272ap+7596L, 0x1.2a9aa0cc67647bc4p+7596L, 0x1.2a9aa0cc67647bc6p+7596L },
+ { 0x2.d63c10403cb6b6ep-4L, 0x8.9e2a941dc61ad8fp+14140L, 0x2.078585b0204e1778p+14140L, 0x2.078585b0204e177cp+14140L },
+ { -0x2.6b6b837e7eb6ae64p-4L, 0x4.23ab68b527c43a3p+2648L, -0xf.aa95c9793bf78dfp+2644L, -0xf.aa95c9793bf78dep+2644L },
+ { 0x3.91cf23ec265a44bcp-4L, -0x4.bc960cdc39b32268p-9416L, -0x1.604dfff2b63b8282p-9416L, -0x1.604dfff2b63b828p-9416L },
+ { -0x2.bc4062eed81cc3acp-4L, -0x1.fa0727fe515c697ap-11556L, 0x8.8df9fc101ed9003p-11560L, 0x8.8df9fc101ed9004p-11560L },
+ { 0x2.b0fa1e0dd7f558a4p-4L, 0x5.8280a606a48f5318p+10272L, 0x1.3c5ed74d77afe5a6p+10272L, 0x1.3c5ed74d77afe5a8p+10272L },
+ { -0x3.d2579cb3ff0ee9f8p-4L, -0x8.0b945d741ecd16ap-1048L, 0x3.2af74742433897ap-1048L, 0x3.2af74742433897a4p-1048L },
+ { 0x3.c535c7bd86beae28p-4L, -0xf.2f9fb8404b10c06p+10324L, -0x4.a2c30bd72da67518p+10324L, -0x4.a2c30bd72da6751p+10324L },
+ { -0x2.dff8fb970f266844p-4L, -0x3.74fd4274bff9725cp-1160L, 0xf.ce11601a35fdcdbp-1164L, 0xf.ce11601a35fdcdcp-1164L },
+ { 0x1.4b5ff1e4dc2e3c8ap-4L, 0xd.153b5302441b7e9p-1056L, 0x1.77e756dd04bced5ep-1056L, 0x1.77e756dd04bced6p-1056L },
+ { -0x2.2377af118d3b64d8p-4L, 0x1.4bd65cdbcd0ba822p+11900L, -0x4.4b025c7b23622dc8p+11896L, -0x4.4b025c7b23622dcp+11896L },
+ { 0x6.95a6923d8b1019fp-48L, -0xe.509d14cf004cbe5p+2568L, -0x8.7fc1c0221d2a71cp+2524L, -0x8.7fc1c0221d2a71bp+2524L },
+ { -0x6.35b4505c73bc73f8p-148L, -0x2.beb5ae276a22e078p-11460L, 0x1.897739142f742bcap-11604L, 0x1.897739142f742bccp-11604L },
+ { 0x1.c09464de3920faa2p-4L, -0xe.76812b4dfc9816p-1364L, -0x2.2b1eea208c44b79p-1364L, -0x2.2b1eea208c44b78cp-1364L },
+ { -0x4.62afbcd5d3fdceap-4L, 0x4.7c65d956f633426p+10856L, -0x2.12b9ade27f17cfep+10856L, -0x2.12b9ade27f17cfdcp+10856L },
+ { 0x1.1eb7165174c4df74p-4L, 0x5.dd67d7554c7a8508p+13252L, 0x9.28d0f9cf98b2726p+13248L, 0x9.28d0f9cf98b2727p+13248L },
+ { -0x6.1647cb705094df4p-8L, 0x5.ec80442e2871996p+2424L, -0x3.4a663d160a45da88p+2420L, -0x3.4a663d160a45da84p+2420L },
+ { 0x4.8cdb06d2fa8dce68p-4L, -0x1.0734bf21712e7332p-4704L, -0x5.f09f4db0c1add98p-4708L, -0x5.f09f4db0c1add978p-4708L },
+ { -0xe.c1625ff5573e525p-8L, 0x3.486cd98536b2738cp-1708L, -0x4.7fae5c446047168p-1712L, -0x4.7fae5c4460471678p-1712L },
+ { 0x1.87006f5c5d2ec9eap-4L, -0x8.9ee3d43da2c297ep+9552L, -0x1.22491738b797491ap+9552L, -0x1.22491738b7974918p+9552L },
+ { -0x3.3dfd025c24acda3p-4L, -0x8.400dba5a97204e1p-10880L, 0x2.b1fa547bf7acaf78p-10880L, 0x2.b1fa547bf7acaf7cp-10880L },
+ { 0x2.5d1332c90ae9c9a4p-4L, -0x1.d15f57eac86808e4p-11748L, -0x5.c81202070960b9d8p-11752L, -0x5.c81202070960b9dp-11752L },
+ { -0x2.28cec5c3aa2d0f18p-4L, -0x4.b7f858c41748a67p+9068L, 0xf.caa8d0ecd255b6ep+9064L, 0xf.caa8d0ecd255b6fp+9064L },
+ { 0x2.67ce16bc94144a94p-4L, 0x9.ad9bf6e1a2ade89p-1124L, 0x1.f4a2cdc76f7d181p-1124L, 0x1.f4a2cdc76f7d1812p-1124L },
+ { -0xe.f6744817cecdd4ep-8L, 0x5.ce4c9a5a4bd4f098p+7716L, -0x8.124097d64be7bd8p+7712L, -0x8.124097d64be7bd7p+7712L },
+ { 0x3.22f0bacfe12728f8p-4L, -0x4.d9d086aa5d561098p+9364L, -0x1.40b41e628d5e3048p+9364L, -0x1.40b41e628d5e3046p+9364L },
+ { -0x3.a65ad31a6788a01cp-4L, 0x2.2153a3d97331573cp-1800L, -0xc.bb3936c148ee21ap-1804L, -0xc.bb3936c148ee219p-1804L },
+ { 0x4.9bdd0004d248afc8p-4L, -0x1.6ebf29fc22091bcp+4728L, -0x8.5eeca757bc17a6ep+4724L, -0x8.5eeca757bc17a6dp+4724L },
+ { -0x3.6d1bb2ded9b5e544p-4L, -0x1.363933431c365c5p+6784L, 0x6.bd984ed7081d1dcp+6780L, 0x6.bd984ed7081d1dc8p+6780L },
+ { 0x4.5c381c7800220bb8p-4L, -0x1.7a9820b7b4be9b5cp+10592L, -0x8.3a163379e86ae8dp+10588L, -0x8.3a163379e86ae8cp+10588L },
+ { -0x6.12772be7f5f9adp-8L, 0x2.5ff922bcfdd1ccf4p+13856L, -0x1.50e2b035b7e3a3c6p+13852L, -0x1.50e2b035b7e3a3c4p+13852L },
+ { 0x4.6f048c603adeb688p-4L, -0x7.dcd7d704615cb8ep-7496L, -0x2.c648b04027667808p-7496L, -0x2.c648b04027667804p-7496L },
+ { -0x1.426147d80b509dfap-4L, -0x3.b6cb63cc4e57698cp+12696L, 0x7.0727b8bc7de37648p+12692L, 0x7.0727b8bc7de3765p+12692L },
+ { 0x7.43a24958p-16416L, -0x1.20c104316e13e7eap+2340L, -0xb.d225983bb5815cp-14076L, -0xb.d225983bb5815bfp-14076L },
+ { -0x4.aca95d18p-16416L, -0x4.b253ac25282630fp+5944L, 0x1.fac465fc7e12004p-10468L, 0x1.fac465fc7e120042p-10468L },
+ { 0xd.346171700066942p-8L, -0x3.5c5b7a0cde7c0b9p-4344L, -0x3.e6d4bdea75d4f7c8p-4348L, -0x3.e6d4bdea75d4f7c4p-4348L },
+ { -0xc.f7fe649ca9f78f1p-8L, -0xe.3a382cc6e7f5879p-4128L, 0x1.112c520281402072p-4128L, 0x1.112c520281402074p-4128L },
+ { 0x2.891205a511e09d4p-4L, -0xa.3b1708de40827f3p+9100L, -0x2.2bce95e0f3eadc8p+9100L, -0x2.2bce95e0f3eadc7cp+9100L },
+ { -0x2.745b23499b0ba8b8p-4L, 0x1.a50af797227d1b2p-12948L, -0x6.528e377bfd748168p-12952L, -0x6.528e377bfd74816p-12952L },
+ { 0x2.e200bf44c048b27p-4L, 0x1.502214b180236b8ep+1004L, 0x5.056320e0e40dcac8p+1000L, 0x5.056320e0e40dcadp+1000L },
+ { -0x1.003d0ef8adbf3c9ep-4L, -0x6.b73ddbc1c250fa2p+1172L, 0xa.03b4bfa836d3073p+1168L, 0xa.03b4bfa836d3074p+1168L },
+ { 0x4.a8e3b6eba0e5cc5p-4L, -0xa.6207a616c7e6709p+6296L, -0x3.d4256c2208b55f5p+6296L, -0x3.d4256c2208b55f4cp+6296L },
+ { -0x2.a92e6e1474be8348p-4L, 0x3.bb46a57c610a305p+7304L, -0xf.aabbe15fe37ce8bp+7300L, -0xf.aabbe15fe37ce8ap+7300L },
+ { 0x4.96fd5f79440dfd3p-4L, -0x2.86ed35b8573a3bfcp+624L, -0xe.b63b818d676319ap+620L, -0xe.b63b818d6763199p+620L },
+ { -0x3.eca5c520475dad78p-4L, -0x1.112bec17e2eb9514p-7920L, 0x6.ee6ca95de9ffe858p-7924L, 0x6.ee6ca95de9ffe86p-7924L },
+ { 0x4.8f4fa442deb571ep-4L, 0x4.bd8cc4d14c3c0818p+3100L, 0x1.b701f77c99e885p+3100L, 0x1.b701f77c99e88502p+3100L },
+ { -0x1.cc63ab2f4422f75ep-4L, -0x4.1bd4c5adafb9c458p-7880L, 0xb.4ef13944ce6d745p-7884L, 0xb.4ef13944ce6d746p-7884L },
+ { 0x4.5a1c9f3d22df0e3p-4L, -0x4.64d5303735c2074p-6252L, -0x1.866d8aad2725025p-6252L, -0x1.866d8aad2725024ep-6252L },
+ { -0x1.55b34aaaa8d19ee2p-4L, 0xf.75a8872ceab3815p-5504L, -0x1.f15dd2d15d4dc058p-5504L, -0x1.f15dd2d15d4dc056p-5504L },
+ { 0x2.b3311b1a7010d558p-4L, 0x1.1ecd98b620696b2ep-3596L, 0x4.085356c3e0bf9dfp-3600L, 0x4.085356c3e0bf9df8p-3600L },
+ { -0x1.68820b6e4592bfc4p-4L, -0x6.67e7a1d8fd4df47p-13612L, 0xd.9f8d17ac5abfbefp-13616L, 0xd.9f8d17ac5abfbfp-13616L },
+ { 0x3.b6a73d8796b983bcp-4L, 0xa.68bc997e0f48d23p-14004L, 0x3.2261d9832d9eb434p-14004L, 0x3.2261d9832d9eb438p-14004L },
+ { -0x1.aaa0ed7ab388530cp-4L, 0x5.c31f424ba4ed1fd8p-11856L, -0xe.a1394c8e746bdp-11860L, -0xe.a1394c8e746bcffp-11860L },
+};
+
+int check_equal(long double res, long double expected)
+{
+ if (res != expected) {
+ return 0;
+ }
+ return (__builtin_copysignl(1.0L, res) ==
+ __builtin_copysignl(1.0L, expected));
+}
+
+int main(void)
+{
+ int ret = 0;
+ int i;
+ for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) {
+ long double ld_res;
+ __asm__ volatile ("fyl2xp1" : "=t" (ld_res) :
+ "0" (tests[i].arg0), "u" (tests[i].arg1) : "st(1)");
+ if (!check_equal(ld_res, tests[i].down) &&
+ !check_equal(ld_res, tests[i].up)) {
+ printf("FAIL: fyl2xp1 %La %La, expected %La or %La, got %La\n",
+ tests[i].arg0, tests[i].arg1, tests[i].down, tests[i].up,
+ ld_res);
+ ret = 1;
+ }
+ }
+ return ret;
+}