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[174.21.70.228]) by smtp.gmail.com with ESMTPSA id p65sm40115pfb.62.2021.06.03.14.41.49 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Thu, 03 Jun 2021 14:41:50 -0700 (PDT) From: Richard Henderson To: qemu-devel@nongnu.org Subject: [PULL 27/29] softfloat: Convert modrem operations to FloatParts Date: Thu, 3 Jun 2021 14:41:29 -0700 Message-Id: <20210603214131.629841-28-richard.henderson@linaro.org> X-Mailer: git-send-email 2.25.1 In-Reply-To: <20210603214131.629841-1-richard.henderson@linaro.org> References: <20210603214131.629841-1-richard.henderson@linaro.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Received-SPF: pass client-ip=2607:f8b0:4864:20::1033; envelope-from=richard.henderson@linaro.org; helo=mail-pj1-x1033.google.com X-Spam_score_int: -20 X-Spam_score: -2.1 X-Spam_bar: -- X-Spam_report: (-2.1 / 5.0 requ) BAYES_00=-1.9, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, DKIM_VALID_AU=-0.1, DKIM_VALID_EF=-0.1, RCVD_IN_DNSWL_NONE=-0.0001, SPF_HELO_NONE=0.001, SPF_PASS=-0.001 autolearn=ham autolearn_force=no X-Spam_action: no action X-BeenThere: qemu-devel@nongnu.org X-Mailman-Version: 2.1.23 Precedence: list List-Id: List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Cc: =?UTF-8?q?Alex=20Benn=C3=A9e?= Errors-To: qemu-devel-bounces+qemu-devel=archiver.kernel.org@nongnu.org Sender: "Qemu-devel" Rename to parts$N_modrem. This was the last use of a lot of the legacy infrastructure, so remove it as required. Reviewed-by: Alex Bennée Signed-off-by: Richard Henderson --- include/fpu/softfloat-macros.h | 34 + fpu/softfloat.c | 1339 +++++++------------------------- fpu/softfloat-parts.c.inc | 34 + fpu/softfloat-specialize.c.inc | 165 ---- 4 files changed, 329 insertions(+), 1243 deletions(-) diff --git a/include/fpu/softfloat-macros.h b/include/fpu/softfloat-macros.h index ec4e27a595..81c3fe8256 100644 --- a/include/fpu/softfloat-macros.h +++ b/include/fpu/softfloat-macros.h @@ -745,4 +745,38 @@ static inline bool ne128(uint64_t a0, uint64_t a1, uint64_t b0, uint64_t b1) return a0 != b0 || a1 != b1; } +/* + * Similarly, comparisons of 192-bit values. + */ + +static inline bool eq192(uint64_t a0, uint64_t a1, uint64_t a2, + uint64_t b0, uint64_t b1, uint64_t b2) +{ + return ((a0 ^ b0) | (a1 ^ b1) | (a2 ^ b2)) == 0; +} + +static inline bool le192(uint64_t a0, uint64_t a1, uint64_t a2, + uint64_t b0, uint64_t b1, uint64_t b2) +{ + if (a0 != b0) { + return a0 < b0; + } + if (a1 != b1) { + return a1 < b1; + } + return a2 <= b2; +} + +static inline bool lt192(uint64_t a0, uint64_t a1, uint64_t a2, + uint64_t b0, uint64_t b1, uint64_t b2) +{ + if (a0 != b0) { + return a0 < b0; + } + if (a1 != b1) { + return a1 < b1; + } + return a2 < b2; +} + #endif diff --git a/fpu/softfloat.c b/fpu/softfloat.c index c0fe191f4d..5026f518b0 100644 --- a/fpu/softfloat.c +++ b/fpu/softfloat.c @@ -401,60 +401,6 @@ float64_gen2(float64 xa, float64 xb, float_status *s, return soft(ua.s, ub.s, s); } -/*---------------------------------------------------------------------------- -| Returns the fraction bits of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline uint32_t extractFloat32Frac(float32 a) -{ - return float32_val(a) & 0x007FFFFF; -} - -/*---------------------------------------------------------------------------- -| Returns the exponent bits of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline int extractFloat32Exp(float32 a) -{ - return (float32_val(a) >> 23) & 0xFF; -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the single-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline bool extractFloat32Sign(float32 a) -{ - return float32_val(a) >> 31; -} - -/*---------------------------------------------------------------------------- -| Returns the fraction bits of the double-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline uint64_t extractFloat64Frac(float64 a) -{ - return float64_val(a) & UINT64_C(0x000FFFFFFFFFFFFF); -} - -/*---------------------------------------------------------------------------- -| Returns the exponent bits of the double-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline int extractFloat64Exp(float64 a) -{ - return (float64_val(a) >> 52) & 0x7FF; -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the double-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline bool extractFloat64Sign(float64 a) -{ - return float64_val(a) >> 63; -} - /* * Classify a floating point number. Everything above float_class_qnan * is a NaN so cls >= float_class_qnan is any NaN. @@ -845,6 +791,14 @@ static FloatParts128 *parts128_div(FloatParts128 *a, FloatParts128 *b, #define parts_div(A, B, S) \ PARTS_GENERIC_64_128(div, A)(A, B, S) +static FloatParts64 *parts64_modrem(FloatParts64 *a, FloatParts64 *b, + uint64_t *mod_quot, float_status *s); +static FloatParts128 *parts128_modrem(FloatParts128 *a, FloatParts128 *b, + uint64_t *mod_quot, float_status *s); + +#define parts_modrem(A, B, Q, S) \ + PARTS_GENERIC_64_128(modrem, A)(A, B, Q, S) + static void parts64_sqrt(FloatParts64 *a, float_status *s, const FloatFmt *f); static void parts128_sqrt(FloatParts128 *a, float_status *s, const FloatFmt *f); @@ -1229,6 +1183,186 @@ static int frac256_normalize(FloatParts256 *a) #define frac_normalize(A) FRAC_GENERIC_64_128_256(normalize, A)(A) +static void frac64_modrem(FloatParts64 *a, FloatParts64 *b, uint64_t *mod_quot) +{ + uint64_t a0, a1, b0, t0, t1, q, quot; + int exp_diff = a->exp - b->exp; + int shift; + + a0 = a->frac; + a1 = 0; + + if (exp_diff < -1) { + if (mod_quot) { + *mod_quot = 0; + } + return; + } + if (exp_diff == -1) { + a0 >>= 1; + exp_diff = 0; + } + + b0 = b->frac; + quot = q = b0 <= a0; + if (q) { + a0 -= b0; + } + + exp_diff -= 64; + while (exp_diff > 0) { + q = estimateDiv128To64(a0, a1, b0); + q = q > 2 ? q - 2 : 0; + mul64To128(b0, q, &t0, &t1); + sub128(a0, a1, t0, t1, &a0, &a1); + shortShift128Left(a0, a1, 62, &a0, &a1); + exp_diff -= 62; + quot = (quot << 62) + q; + } + + exp_diff += 64; + if (exp_diff > 0) { + q = estimateDiv128To64(a0, a1, b0); + q = q > 2 ? (q - 2) >> (64 - exp_diff) : 0; + mul64To128(b0, q << (64 - exp_diff), &t0, &t1); + sub128(a0, a1, t0, t1, &a0, &a1); + shortShift128Left(0, b0, 64 - exp_diff, &t0, &t1); + while (le128(t0, t1, a0, a1)) { + ++q; + sub128(a0, a1, t0, t1, &a0, &a1); + } + quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; + } else { + t0 = b0; + t1 = 0; + } + + if (mod_quot) { + *mod_quot = quot; + } else { + sub128(t0, t1, a0, a1, &t0, &t1); + if (lt128(t0, t1, a0, a1) || + (eq128(t0, t1, a0, a1) && (q & 1))) { + a0 = t0; + a1 = t1; + a->sign = !a->sign; + } + } + + if (likely(a0)) { + shift = clz64(a0); + shortShift128Left(a0, a1, shift, &a0, &a1); + } else if (likely(a1)) { + shift = clz64(a1); + a0 = a1 << shift; + a1 = 0; + shift += 64; + } else { + a->cls = float_class_zero; + return; + } + + a->exp = b->exp + exp_diff - shift; + a->frac = a0 | (a1 != 0); +} + +static void frac128_modrem(FloatParts128 *a, FloatParts128 *b, + uint64_t *mod_quot) +{ + uint64_t a0, a1, a2, b0, b1, t0, t1, t2, q, quot; + int exp_diff = a->exp - b->exp; + int shift; + + a0 = a->frac_hi; + a1 = a->frac_lo; + a2 = 0; + + if (exp_diff < -1) { + if (mod_quot) { + *mod_quot = 0; + } + return; + } + if (exp_diff == -1) { + shift128Right(a0, a1, 1, &a0, &a1); + exp_diff = 0; + } + + b0 = b->frac_hi; + b1 = b->frac_lo; + + quot = q = le128(b0, b1, a0, a1); + if (q) { + sub128(a0, a1, b0, b1, &a0, &a1); + } + + exp_diff -= 64; + while (exp_diff > 0) { + q = estimateDiv128To64(a0, a1, b0); + q = q > 4 ? q - 4 : 0; + mul128By64To192(b0, b1, q, &t0, &t1, &t2); + sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); + shortShift192Left(a0, a1, a2, 61, &a0, &a1, &a2); + exp_diff -= 61; + quot = (quot << 61) + q; + } + + exp_diff += 64; + if (exp_diff > 0) { + q = estimateDiv128To64(a0, a1, b0); + q = q > 4 ? (q - 4) >> (64 - exp_diff) : 0; + mul128By64To192(b0, b1, q << (64 - exp_diff), &t0, &t1, &t2); + sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); + shortShift192Left(0, b0, b1, 64 - exp_diff, &t0, &t1, &t2); + while (le192(t0, t1, t2, a0, a1, a2)) { + ++q; + sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); + } + quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; + } else { + t0 = b0; + t1 = b1; + t2 = 0; + } + + if (mod_quot) { + *mod_quot = quot; + } else { + sub192(t0, t1, t2, a0, a1, a2, &t0, &t1, &t2); + if (lt192(t0, t1, t2, a0, a1, a2) || + (eq192(t0, t1, t2, a0, a1, a2) && (q & 1))) { + a0 = t0; + a1 = t1; + a2 = t2; + a->sign = !a->sign; + } + } + + if (likely(a0)) { + shift = clz64(a0); + shortShift192Left(a0, a1, a2, shift, &a0, &a1, &a2); + } else if (likely(a1)) { + shift = clz64(a1); + shortShift128Left(a1, a2, shift, &a0, &a1); + a2 = 0; + shift += 64; + } else if (likely(a2)) { + shift = clz64(a2); + a0 = a2 << shift; + a1 = a2 = 0; + shift += 128; + } else { + a->cls = float_class_zero; + return; + } + + a->exp = b->exp + exp_diff - shift; + a->frac_hi = a0; + a->frac_lo = a1 | (a2 != 0); +} + +#define frac_modrem(A, B, Q) FRAC_GENERIC_64_128(modrem, A)(A, B, Q) + static void frac64_shl(FloatParts64 *a, int c) { a->frac <<= c; @@ -2313,6 +2447,79 @@ floatx80 floatx80_div(floatx80 a, floatx80 b, float_status *status) return floatx80_round_pack_canonical(pr, status); } +/* + * Remainder + */ + +float32 float32_rem(float32 a, float32 b, float_status *status) +{ + FloatParts64 pa, pb, *pr; + + float32_unpack_canonical(&pa, a, status); + float32_unpack_canonical(&pb, b, status); + pr = parts_modrem(&pa, &pb, NULL, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 float64_rem(float64 a, float64 b, float_status *status) +{ + FloatParts64 pa, pb, *pr; + + float64_unpack_canonical(&pa, a, status); + float64_unpack_canonical(&pb, b, status); + pr = parts_modrem(&pa, &pb, NULL, status); + + return float64_round_pack_canonical(pr, status); +} + +float128 float128_rem(float128 a, float128 b, float_status *status) +{ + FloatParts128 pa, pb, *pr; + + float128_unpack_canonical(&pa, a, status); + float128_unpack_canonical(&pb, b, status); + pr = parts_modrem(&pa, &pb, NULL, status); + + return float128_round_pack_canonical(pr, status); +} + +/* + * Returns the remainder of the extended double-precision floating-point value + * `a' with respect to the corresponding value `b'. + * If 'mod' is false, the operation is performed according to the IEC/IEEE + * Standard for Binary Floating-Point Arithmetic. If 'mod' is true, return + * the remainder based on truncating the quotient toward zero instead and + * *quotient is set to the low 64 bits of the absolute value of the integer + * quotient. + */ +floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, + uint64_t *quotient, float_status *status) +{ + FloatParts128 pa, pb, *pr; + + *quotient = 0; + if (!floatx80_unpack_canonical(&pa, a, status) || + !floatx80_unpack_canonical(&pb, b, status)) { + return floatx80_default_nan(status); + } + pr = parts_modrem(&pa, &pb, mod ? quotient : NULL, status); + + return floatx80_round_pack_canonical(pr, status); +} + +floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status) +{ + uint64_t quotient; + return floatx80_modrem(a, b, false, "ient, status); +} + +floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status) +{ + uint64_t quotient; + return floatx80_modrem(a, b, true, "ient, status); +} + /* * Float to Float conversions * @@ -4262,300 +4469,6 @@ bfloat16 bfloat16_squash_input_denormal(bfloat16 a, float_status *status) return a; } -/*---------------------------------------------------------------------------- -| Normalizes the subnormal single-precision floating-point value represented -| by the denormalized significand `aSig'. The normalized exponent and -| significand are stored at the locations pointed to by `zExpPtr' and -| `zSigPtr', respectively. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat32Subnormal(uint32_t aSig, int *zExpPtr, uint32_t *zSigPtr) -{ - int8_t shiftCount; - - shiftCount = clz32(aSig) - 8; - *zSigPtr = aSig<float_rounding_mode; - roundNearestEven = ( roundingMode == float_round_nearest_even ); - switch (roundingMode) { - case float_round_nearest_even: - case float_round_ties_away: - roundIncrement = 0x40; - break; - case float_round_to_zero: - roundIncrement = 0; - break; - case float_round_up: - roundIncrement = zSign ? 0 : 0x7f; - break; - case float_round_down: - roundIncrement = zSign ? 0x7f : 0; - break; - case float_round_to_odd: - roundIncrement = zSig & 0x80 ? 0 : 0x7f; - break; - default: - abort(); - break; - } - roundBits = zSig & 0x7F; - if ( 0xFD <= (uint16_t) zExp ) { - if ( ( 0xFD < zExp ) - || ( ( zExp == 0xFD ) - && ( (int32_t) ( zSig + roundIncrement ) < 0 ) ) - ) { - bool overflow_to_inf = roundingMode != float_round_to_odd && - roundIncrement != 0; - float_raise(float_flag_overflow | float_flag_inexact, status); - return packFloat32(zSign, 0xFF, -!overflow_to_inf); - } - if ( zExp < 0 ) { - if (status->flush_to_zero) { - float_raise(float_flag_output_denormal, status); - return packFloat32(zSign, 0, 0); - } - isTiny = status->tininess_before_rounding - || (zExp < -1) - || (zSig + roundIncrement < 0x80000000); - shift32RightJamming( zSig, - zExp, &zSig ); - zExp = 0; - roundBits = zSig & 0x7F; - if (isTiny && roundBits) { - float_raise(float_flag_underflow, status); - } - if (roundingMode == float_round_to_odd) { - /* - * For round-to-odd case, the roundIncrement depends on - * zSig which just changed. - */ - roundIncrement = zSig & 0x80 ? 0 : 0x7f; - } - } - } - if (roundBits) { - float_raise(float_flag_inexact, status); - } - zSig = ( zSig + roundIncrement )>>7; - if (!(roundBits ^ 0x40) && roundNearestEven) { - zSig &= ~1; - } - if ( zSig == 0 ) zExp = 0; - return packFloat32( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Takes an abstract floating-point value having sign `zSign', exponent `zExp', -| and significand `zSig', and returns the proper single-precision floating- -| point value corresponding to the abstract input. This routine is just like -| `roundAndPackFloat32' except that `zSig' does not have to be normalized. -| Bit 31 of `zSig' must be zero, and `zExp' must be 1 less than the ``true'' -| floating-point exponent. -*----------------------------------------------------------------------------*/ - -static float32 - normalizeRoundAndPackFloat32(bool zSign, int zExp, uint32_t zSig, - float_status *status) -{ - int8_t shiftCount; - - shiftCount = clz32(zSig) - 1; - return roundAndPackFloat32(zSign, zExp - shiftCount, zSig<float_rounding_mode; - roundNearestEven = ( roundingMode == float_round_nearest_even ); - switch (roundingMode) { - case float_round_nearest_even: - case float_round_ties_away: - roundIncrement = 0x200; - break; - case float_round_to_zero: - roundIncrement = 0; - break; - case float_round_up: - roundIncrement = zSign ? 0 : 0x3ff; - break; - case float_round_down: - roundIncrement = zSign ? 0x3ff : 0; - break; - case float_round_to_odd: - roundIncrement = (zSig & 0x400) ? 0 : 0x3ff; - break; - default: - abort(); - } - roundBits = zSig & 0x3FF; - if ( 0x7FD <= (uint16_t) zExp ) { - if ( ( 0x7FD < zExp ) - || ( ( zExp == 0x7FD ) - && ( (int64_t) ( zSig + roundIncrement ) < 0 ) ) - ) { - bool overflow_to_inf = roundingMode != float_round_to_odd && - roundIncrement != 0; - float_raise(float_flag_overflow | float_flag_inexact, status); - return packFloat64(zSign, 0x7FF, -(!overflow_to_inf)); - } - if ( zExp < 0 ) { - if (status->flush_to_zero) { - float_raise(float_flag_output_denormal, status); - return packFloat64(zSign, 0, 0); - } - isTiny = status->tininess_before_rounding - || (zExp < -1) - || (zSig + roundIncrement < UINT64_C(0x8000000000000000)); - shift64RightJamming( zSig, - zExp, &zSig ); - zExp = 0; - roundBits = zSig & 0x3FF; - if (isTiny && roundBits) { - float_raise(float_flag_underflow, status); - } - if (roundingMode == float_round_to_odd) { - /* - * For round-to-odd case, the roundIncrement depends on - * zSig which just changed. - */ - roundIncrement = (zSig & 0x400) ? 0 : 0x3ff; - } - } - } - if (roundBits) { - float_raise(float_flag_inexact, status); - } - zSig = ( zSig + roundIncrement )>>10; - if (!(roundBits ^ 0x200) && roundNearestEven) { - zSig &= ~1; - } - if ( zSig == 0 ) zExp = 0; - return packFloat64( zSign, zExp, zSig ); - -} - -/*---------------------------------------------------------------------------- -| Takes an abstract floating-point value having sign `zSign', exponent `zExp', -| and significand `zSig', and returns the proper double-precision floating- -| point value corresponding to the abstract input. This routine is just like -| `roundAndPackFloat64' except that `zSig' does not have to be normalized. -| Bit 63 of `zSig' must be zero, and `zExp' must be 1 less than the ``true'' -| floating-point exponent. -*----------------------------------------------------------------------------*/ - -static float64 - normalizeRoundAndPackFloat64(bool zSign, int zExp, uint64_t zSig, - float_status *status) -{ - int8_t shiftCount; - - shiftCount = clz64(zSig) - 1; - return roundAndPackFloat64(zSign, zExp - shiftCount, zSig<>48 ) & 0x7FFF; - -} - -/*---------------------------------------------------------------------------- -| Returns the sign bit of the quadruple-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline bool extractFloat128Sign(float128 a) -{ - return a.high >> 63; -} - -/*---------------------------------------------------------------------------- -| Normalizes the subnormal quadruple-precision floating-point value -| represented by the denormalized significand formed by the concatenation of -| `aSig0' and `aSig1'. The normalized exponent is stored at the location -| pointed to by `zExpPtr'. The most significant 49 bits of the normalized -| significand are stored at the location pointed to by `zSig0Ptr', and the -| least significant 64 bits of the normalized significand are stored at the -| location pointed to by `zSig1Ptr'. -*----------------------------------------------------------------------------*/ - -static void - normalizeFloat128Subnormal( - uint64_t aSig0, - uint64_t aSig1, - int32_t *zExpPtr, - uint64_t *zSig0Ptr, - uint64_t *zSig1Ptr - ) -{ - int8_t shiftCount; - - if ( aSig0 == 0 ) { - shiftCount = clz64(aSig1) - 15; - if ( shiftCount < 0 ) { - *zSig0Ptr = aSig1>>( - shiftCount ); - *zSig1Ptr = aSig1<<( shiftCount & 63 ); - } - else { - *zSig0Ptr = aSig1<float_rounding_mode; - roundNearestEven = ( roundingMode == float_round_nearest_even ); - switch (roundingMode) { - case float_round_nearest_even: - case float_round_ties_away: - increment = ((int64_t)zSig2 < 0); - break; - case float_round_to_zero: - increment = 0; - break; - case float_round_up: - increment = !zSign && zSig2; - break; - case float_round_down: - increment = zSign && zSig2; - break; - case float_round_to_odd: - increment = !(zSig1 & 0x1) && zSig2; - break; - default: - abort(); - } - if ( 0x7FFD <= (uint32_t) zExp ) { - if ( ( 0x7FFD < zExp ) - || ( ( zExp == 0x7FFD ) - && eq128( - UINT64_C(0x0001FFFFFFFFFFFF), - UINT64_C(0xFFFFFFFFFFFFFFFF), - zSig0, - zSig1 - ) - && increment - ) - ) { - float_raise(float_flag_overflow | float_flag_inexact, status); - if ( ( roundingMode == float_round_to_zero ) - || ( zSign && ( roundingMode == float_round_up ) ) - || ( ! zSign && ( roundingMode == float_round_down ) ) - || (roundingMode == float_round_to_odd) - ) { - return - packFloat128( - zSign, - 0x7FFE, - UINT64_C(0x0000FFFFFFFFFFFF), - UINT64_C(0xFFFFFFFFFFFFFFFF) - ); - } - return packFloat128( zSign, 0x7FFF, 0, 0 ); - } - if ( zExp < 0 ) { - if (status->flush_to_zero) { - float_raise(float_flag_output_denormal, status); - return packFloat128(zSign, 0, 0, 0); - } - isTiny = status->tininess_before_rounding - || (zExp < -1) - || !increment - || lt128(zSig0, zSig1, - UINT64_C(0x0001FFFFFFFFFFFF), - UINT64_C(0xFFFFFFFFFFFFFFFF)); - shift128ExtraRightJamming( - zSig0, zSig1, zSig2, - zExp, &zSig0, &zSig1, &zSig2 ); - zExp = 0; - if (isTiny && zSig2) { - float_raise(float_flag_underflow, status); - } - switch (roundingMode) { - case float_round_nearest_even: - case float_round_ties_away: - increment = ((int64_t)zSig2 < 0); - break; - case float_round_to_zero: - increment = 0; - break; - case float_round_up: - increment = !zSign && zSig2; - break; - case float_round_down: - increment = zSign && zSig2; - break; - case float_round_to_odd: - increment = !(zSig1 & 0x1) && zSig2; - break; - default: - abort(); - } - } - } - if (zSig2) { - float_raise(float_flag_inexact, status); - } - if ( increment ) { - add128( zSig0, zSig1, 0, 1, &zSig0, &zSig1 ); - if ((zSig2 + zSig2 == 0) && roundNearestEven) { - zSig1 &= ~1; - } - } - else { - if ( ( zSig0 | zSig1 ) == 0 ) zExp = 0; - } - return packFloat128( zSign, zExp, zSig0, zSig1 ); - -} - -/*---------------------------------------------------------------------------- -| Takes an abstract floating-point value having sign `zSign', exponent `zExp', -| and significand formed by the concatenation of `zSig0' and `zSig1', and -| returns the proper quadruple-precision floating-point value corresponding -| to the abstract input. This routine is just like `roundAndPackFloat128' -| except that the input significand has fewer bits and does not have to be -| normalized. In all cases, `zExp' must be 1 less than the ``true'' floating- -| point exponent. -*----------------------------------------------------------------------------*/ - -static float128 normalizeRoundAndPackFloat128(bool zSign, int32_t zExp, - uint64_t zSig0, uint64_t zSig1, - float_status *status) -{ - int8_t shiftCount; - uint64_t zSig2; - - if ( zSig0 == 0 ) { - zSig0 = zSig1; - zSig1 = 0; - zExp -= 64; - } - shiftCount = clz64(zSig0) - 15; - if ( 0 <= shiftCount ) { - zSig2 = 0; - shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 ); - } - else { - shift128ExtraRightJamming( - zSig0, zSig1, 0, - shiftCount, &zSig0, &zSig1, &zSig2 ); - } - zExp -= shiftCount; - return roundAndPackFloat128(zSign, zExp, zSig0, zSig1, zSig2, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the single-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_rem(float32 a, float32 b, float_status *status) -{ - bool aSign, zSign; - int aExp, bExp, expDiff; - uint32_t aSig, bSig; - uint32_t q; - uint64_t aSig64, bSig64, q64; - uint32_t alternateASig; - int32_t sigMean; - a = float32_squash_input_denormal(a, status); - b = float32_squash_input_denormal(b, status); - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - if ( aExp == 0xFF ) { - if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) { - return propagateFloat32NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return a; - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - expDiff = aExp - bExp; - aSig |= 0x00800000; - bSig |= 0x00800000; - if ( expDiff < 32 ) { - aSig <<= 8; - bSig <<= 8; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - aSig >>= 1; - } - q = ( bSig <= aSig ); - if ( q ) aSig -= bSig; - if ( 0 < expDiff ) { - q = ( ( (uint64_t) aSig )<<32 ) / bSig; - q >>= 32 - expDiff; - bSig >>= 2; - aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q; - } - else { - aSig >>= 2; - bSig >>= 2; - } - } - else { - if ( bSig <= aSig ) aSig -= bSig; - aSig64 = ( (uint64_t) aSig )<<40; - bSig64 = ( (uint64_t) bSig )<<40; - expDiff -= 64; - while ( 0 < expDiff ) { - q64 = estimateDiv128To64( aSig64, 0, bSig64 ); - q64 = ( 2 < q64 ) ? q64 - 2 : 0; - aSig64 = - ( ( bSig * q64 )<<38 ); - expDiff -= 62; - } - expDiff += 64; - q64 = estimateDiv128To64( aSig64, 0, bSig64 ); - q64 = ( 2 < q64 ) ? q64 - 2 : 0; - q = q64>>( 64 - expDiff ); - bSig <<= 6; - aSig = ( ( aSig64>>33 )<<( expDiff - 1 ) ) - bSig * q; - } - do { - alternateASig = aSig; - ++q; - aSig -= bSig; - } while ( 0 <= (int32_t) aSig ); - sigMean = aSig + alternateASig; - if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) { - aSig = alternateASig; - } - zSign = ( (int32_t) aSig < 0 ); - if ( zSign ) aSig = - aSig; - return normalizeRoundAndPackFloat32(aSign ^ zSign, bExp, aSig, status); -} - - - /*---------------------------------------------------------------------------- | Returns the binary exponential of the single-precision floating-point value | `a'. The operation is performed according to the IEC/IEEE Standard for @@ -5273,94 +4804,6 @@ float32 float32_exp2(float32 a, float_status *status) return float32_round_pack_canonical(&rp, status); } -/*---------------------------------------------------------------------------- -| Returns the remainder of the double-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_rem(float64 a, float64 b, float_status *status) -{ - bool aSign, zSign; - int aExp, bExp, expDiff; - uint64_t aSig, bSig; - uint64_t q, alternateASig; - int64_t sigMean; - - a = float64_squash_input_denormal(a, status); - b = float64_squash_input_denormal(b, status); - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - if ( aExp == 0x7FF ) { - if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) { - return propagateFloat64NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return a; - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - expDiff = aExp - bExp; - aSig = (aSig | UINT64_C(0x0010000000000000)) << 11; - bSig = (bSig | UINT64_C(0x0010000000000000)) << 11; - if ( expDiff < 0 ) { - if ( expDiff < -1 ) return a; - aSig >>= 1; - } - q = ( bSig <= aSig ); - if ( q ) aSig -= bSig; - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig, 0, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - aSig = - ( ( bSig>>2 ) * q ); - expDiff -= 62; - } - expDiff += 64; - if ( 0 < expDiff ) { - q = estimateDiv128To64( aSig, 0, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - q >>= 64 - expDiff; - bSig >>= 2; - aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q; - } - else { - aSig >>= 2; - bSig >>= 2; - } - do { - alternateASig = aSig; - ++q; - aSig -= bSig; - } while ( 0 <= (int64_t) aSig ); - sigMean = aSig + alternateASig; - if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) { - aSig = alternateASig; - } - zSign = ( (int64_t) aSig < 0 ); - if ( zSign ) aSig = - aSig; - return normalizeRoundAndPackFloat64(aSign ^ zSign, bExp, aSig, status); - -} - /*---------------------------------------------------------------------------- | Rounds the extended double-precision floating-point value `a' | to the precision provided by floatx80_rounding_precision and returns the @@ -5379,266 +4822,6 @@ floatx80 floatx80_round(floatx80 a, float_status *status) return floatx80_round_pack_canonical(&p, status); } -/*---------------------------------------------------------------------------- -| Returns the remainder of the extended double-precision floating-point value -| `a' with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic, -| if 'mod' is false; if 'mod' is true, return the remainder based on truncating -| the quotient toward zero instead. '*quotient' is set to the low 64 bits of -| the absolute value of the integer quotient. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, uint64_t *quotient, - float_status *status) -{ - bool aSign, zSign; - int32_t aExp, bExp, expDiff, aExpOrig; - uint64_t aSig0, aSig1, bSig; - uint64_t q, term0, term1, alternateASig0, alternateASig1; - - *quotient = 0; - if (floatx80_invalid_encoding(a) || floatx80_invalid_encoding(b)) { - float_raise(float_flag_invalid, status); - return floatx80_default_nan(status); - } - aSig0 = extractFloatx80Frac( a ); - aExpOrig = aExp = extractFloatx80Exp( a ); - aSign = extractFloatx80Sign( a ); - bSig = extractFloatx80Frac( b ); - bExp = extractFloatx80Exp( b ); - if ( aExp == 0x7FFF ) { - if ( (uint64_t) ( aSig0<<1 ) - || ( ( bExp == 0x7FFF ) && (uint64_t) ( bSig<<1 ) ) ) { - return propagateFloatx80NaN(a, b, status); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if ((uint64_t)(bSig << 1)) { - return propagateFloatx80NaN(a, b, status); - } - if (aExp == 0 && aSig0 >> 63) { - /* - * Pseudo-denormal argument must be returned in normalized - * form. - */ - return packFloatx80(aSign, 1, aSig0); - } - return a; - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - invalid: - float_raise(float_flag_invalid, status); - return floatx80_default_nan(status); - } - normalizeFloatx80Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig0 == 0 ) return a; - normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 ); - } - zSign = aSign; - expDiff = aExp - bExp; - aSig1 = 0; - if ( expDiff < 0 ) { - if ( mod || expDiff < -1 ) { - if (aExp == 1 && aExpOrig == 0) { - /* - * Pseudo-denormal argument must be returned in - * normalized form. - */ - return packFloatx80(aSign, aExp, aSig0); - } - return a; - } - shift128Right( aSig0, 0, 1, &aSig0, &aSig1 ); - expDiff = 0; - } - *quotient = q = ( bSig <= aSig0 ); - if ( q ) aSig0 -= bSig; - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - mul64To128( bSig, q, &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( aSig0, aSig1, 62, &aSig0, &aSig1 ); - expDiff -= 62; - *quotient <<= 62; - *quotient += q; - } - expDiff += 64; - if ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig ); - q = ( 2 < q ) ? q - 2 : 0; - q >>= 64 - expDiff; - mul64To128( bSig, q<<( 64 - expDiff ), &term0, &term1 ); - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - shortShift128Left( 0, bSig, 64 - expDiff, &term0, &term1 ); - while ( le128( term0, term1, aSig0, aSig1 ) ) { - ++q; - sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 ); - } - if (expDiff < 64) { - *quotient <<= expDiff; - } else { - *quotient = 0; - } - *quotient += q; - } - else { - term1 = 0; - term0 = bSig; - } - if (!mod) { - sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 ); - if ( lt128( alternateASig0, alternateASig1, aSig0, aSig1 ) - || ( eq128( alternateASig0, alternateASig1, aSig0, aSig1 ) - && ( q & 1 ) ) - ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - zSign = ! zSign; - ++*quotient; - } - } - return - normalizeRoundAndPackFloatx80( - floatx80_precision_x, zSign, bExp + expDiff, aSig0, aSig1, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the extended double-precision floating-point value -| `a' with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status) -{ - uint64_t quotient; - return floatx80_modrem(a, b, false, "ient, status); -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the extended double-precision floating-point value -| `a' with respect to the corresponding value `b', with the quotient truncated -| toward zero. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status) -{ - uint64_t quotient; - return floatx80_modrem(a, b, true, "ient, status); -} - -/*---------------------------------------------------------------------------- -| Returns the remainder of the quadruple-precision floating-point value `a' -| with respect to the corresponding value `b'. The operation is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float128 float128_rem(float128 a, float128 b, float_status *status) -{ - bool aSign, zSign; - int32_t aExp, bExp, expDiff; - uint64_t aSig0, aSig1, bSig0, bSig1, q, term0, term1, term2; - uint64_t allZero, alternateASig0, alternateASig1, sigMean1; - int64_t sigMean0; - - aSig1 = extractFloat128Frac1( a ); - aSig0 = extractFloat128Frac0( a ); - aExp = extractFloat128Exp( a ); - aSign = extractFloat128Sign( a ); - bSig1 = extractFloat128Frac1( b ); - bSig0 = extractFloat128Frac0( b ); - bExp = extractFloat128Exp( b ); - if ( aExp == 0x7FFF ) { - if ( ( aSig0 | aSig1 ) - || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) { - return propagateFloat128NaN(a, b, status); - } - goto invalid; - } - if ( bExp == 0x7FFF ) { - if (bSig0 | bSig1) { - return propagateFloat128NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - if ( ( bSig0 | bSig1 ) == 0 ) { - invalid: - float_raise(float_flag_invalid, status); - return float128_default_nan(status); - } - normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 ); - } - if ( aExp == 0 ) { - if ( ( aSig0 | aSig1 ) == 0 ) return a; - normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 ); - } - expDiff = aExp - bExp; - if ( expDiff < -1 ) return a; - shortShift128Left( - aSig0 | UINT64_C(0x0001000000000000), - aSig1, - 15 - ( expDiff < 0 ), - &aSig0, - &aSig1 - ); - shortShift128Left( - bSig0 | UINT64_C(0x0001000000000000), bSig1, 15, &bSig0, &bSig1 ); - q = le128( bSig0, bSig1, aSig0, aSig1 ); - if ( q ) sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - expDiff -= 64; - while ( 0 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - shortShift192Left( term0, term1, term2, 61, &term1, &term2, &allZero ); - shortShift128Left( aSig0, aSig1, 61, &aSig0, &allZero ); - sub128( aSig0, 0, term1, term2, &aSig0, &aSig1 ); - expDiff -= 61; - } - if ( -64 < expDiff ) { - q = estimateDiv128To64( aSig0, aSig1, bSig0 ); - q = ( 4 < q ) ? q - 4 : 0; - q >>= - expDiff; - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - expDiff += 52; - if ( expDiff < 0 ) { - shift128Right( aSig0, aSig1, - expDiff, &aSig0, &aSig1 ); - } - else { - shortShift128Left( aSig0, aSig1, expDiff, &aSig0, &aSig1 ); - } - mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 ); - sub128( aSig0, aSig1, term1, term2, &aSig0, &aSig1 ); - } - else { - shift128Right( aSig0, aSig1, 12, &aSig0, &aSig1 ); - shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 ); - } - do { - alternateASig0 = aSig0; - alternateASig1 = aSig1; - ++q; - sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 ); - } while ( 0 <= (int64_t) aSig0 ); - add128( - aSig0, aSig1, alternateASig0, alternateASig1, (uint64_t *)&sigMean0, &sigMean1 ); - if ( ( sigMean0 < 0 ) - || ( ( ( sigMean0 | sigMean1 ) == 0 ) && ( q & 1 ) ) ) { - aSig0 = alternateASig0; - aSig1 = alternateASig1; - } - zSign = ( (int64_t) aSig0 < 0 ); - if ( zSign ) sub128( 0, 0, aSig0, aSig1, &aSig0, &aSig1 ); - return normalizeRoundAndPackFloat128(aSign ^ zSign, bExp - 4, aSig0, aSig1, - status); -} static void __attribute__((constructor)) softfloat_init(void) { union_float64 ua, ub, uc, ur; diff --git a/fpu/softfloat-parts.c.inc b/fpu/softfloat-parts.c.inc index d1bd5c6edf..dddee92d6e 100644 --- a/fpu/softfloat-parts.c.inc +++ b/fpu/softfloat-parts.c.inc @@ -626,6 +626,40 @@ static FloatPartsN *partsN(div)(FloatPartsN *a, FloatPartsN *b, return a; } +/* + * Floating point remainder, per IEC/IEEE, or modulus. + */ +static FloatPartsN *partsN(modrem)(FloatPartsN *a, FloatPartsN *b, + uint64_t *mod_quot, float_status *s) +{ + int ab_mask = float_cmask(a->cls) | float_cmask(b->cls); + + if (likely(ab_mask == float_cmask_normal)) { + frac_modrem(a, b, mod_quot); + return a; + } + + if (mod_quot) { + *mod_quot = 0; + } + + /* All the NaN cases */ + if (unlikely(ab_mask & float_cmask_anynan)) { + return parts_pick_nan(a, b, s); + } + + /* Inf % N; N % 0 */ + if (a->cls == float_class_inf || b->cls == float_class_zero) { + float_raise(float_flag_invalid, s); + parts_default_nan(a, s); + return a; + } + + /* N % Inf; 0 % N */ + g_assert(b->cls == float_class_inf || a->cls == float_class_zero); + return a; +} + /* * Square Root * diff --git a/fpu/softfloat-specialize.c.inc b/fpu/softfloat-specialize.c.inc index 95e5325f67..12467bb9bb 100644 --- a/fpu/softfloat-specialize.c.inc +++ b/fpu/softfloat-specialize.c.inc @@ -641,62 +641,6 @@ static int pickNaNMulAdd(FloatClass a_cls, FloatClass b_cls, FloatClass c_cls, #endif } -/*---------------------------------------------------------------------------- -| Takes two single-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float32 propagateFloat32NaN(float32 a, float32 b, float_status *status) -{ - bool aIsLargerSignificand; - uint32_t av, bv; - FloatClass a_cls, b_cls; - - /* This is not complete, but is good enough for pickNaN. */ - a_cls = (!float32_is_any_nan(a) - ? float_class_normal - : float32_is_signaling_nan(a, status) - ? float_class_snan - : float_class_qnan); - b_cls = (!float32_is_any_nan(b) - ? float_class_normal - : float32_is_signaling_nan(b, status) - ? float_class_snan - : float_class_qnan); - - av = float32_val(a); - bv = float32_val(b); - - if (is_snan(a_cls) || is_snan(b_cls)) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) { - return float32_default_nan(status); - } - - if ((uint32_t)(av << 1) < (uint32_t)(bv << 1)) { - aIsLargerSignificand = 0; - } else if ((uint32_t)(bv << 1) < (uint32_t)(av << 1)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (av < bv) ? 1 : 0; - } - - if (pickNaN(a_cls, b_cls, aIsLargerSignificand, status)) { - if (is_snan(b_cls)) { - return float32_silence_nan(b, status); - } - return b; - } else { - if (is_snan(a_cls)) { - return float32_silence_nan(a, status); - } - return a; - } -} - /*---------------------------------------------------------------------------- | Returns 1 if the double-precision floating-point value `a' is a quiet | NaN; otherwise returns 0. @@ -737,62 +681,6 @@ bool float64_is_signaling_nan(float64 a_, float_status *status) } } -/*---------------------------------------------------------------------------- -| Takes two double-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float64 propagateFloat64NaN(float64 a, float64 b, float_status *status) -{ - bool aIsLargerSignificand; - uint64_t av, bv; - FloatClass a_cls, b_cls; - - /* This is not complete, but is good enough for pickNaN. */ - a_cls = (!float64_is_any_nan(a) - ? float_class_normal - : float64_is_signaling_nan(a, status) - ? float_class_snan - : float_class_qnan); - b_cls = (!float64_is_any_nan(b) - ? float_class_normal - : float64_is_signaling_nan(b, status) - ? float_class_snan - : float_class_qnan); - - av = float64_val(a); - bv = float64_val(b); - - if (is_snan(a_cls) || is_snan(b_cls)) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) { - return float64_default_nan(status); - } - - if ((uint64_t)(av << 1) < (uint64_t)(bv << 1)) { - aIsLargerSignificand = 0; - } else if ((uint64_t)(bv << 1) < (uint64_t)(av << 1)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (av < bv) ? 1 : 0; - } - - if (pickNaN(a_cls, b_cls, aIsLargerSignificand, status)) { - if (is_snan(b_cls)) { - return float64_silence_nan(b, status); - } - return b; - } else { - if (is_snan(a_cls)) { - return float64_silence_nan(a, status); - } - return a; - } -} - /*---------------------------------------------------------------------------- | Returns 1 if the extended double-precision floating-point value `a' is a | quiet NaN; otherwise returns 0. This slightly differs from the same @@ -947,56 +835,3 @@ bool float128_is_signaling_nan(float128 a, float_status *status) } } } - -/*---------------------------------------------------------------------------- -| Takes two quadruple-precision floating-point values `a' and `b', one of -| which is a NaN, and returns the appropriate NaN result. If either `a' or -| `b' is a signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float128 propagateFloat128NaN(float128 a, float128 b, - float_status *status) -{ - bool aIsLargerSignificand; - FloatClass a_cls, b_cls; - - /* This is not complete, but is good enough for pickNaN. */ - a_cls = (!float128_is_any_nan(a) - ? float_class_normal - : float128_is_signaling_nan(a, status) - ? float_class_snan - : float_class_qnan); - b_cls = (!float128_is_any_nan(b) - ? float_class_normal - : float128_is_signaling_nan(b, status) - ? float_class_snan - : float_class_qnan); - - if (is_snan(a_cls) || is_snan(b_cls)) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) { - return float128_default_nan(status); - } - - if (lt128(a.high << 1, a.low, b.high << 1, b.low)) { - aIsLargerSignificand = 0; - } else if (lt128(b.high << 1, b.low, a.high << 1, a.low)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (a.high < b.high) ? 1 : 0; - } - - if (pickNaN(a_cls, b_cls, aIsLargerSignificand, status)) { - if (is_snan(b_cls)) { - return float128_silence_nan(b, status); - } - return b; - } else { - if (is_snan(a_cls)) { - return float128_silence_nan(a, status); - } - return a; - } -} -- 2.25.1