diff options
49 files changed, 2204 insertions, 2941 deletions
diff --git a/fpu/softfloat-macros.h b/fpu/softfloat-macros.h index 9cc6158cb4..c45a23193e 100644 --- a/fpu/softfloat-macros.h +++ b/fpu/softfloat-macros.h @@ -625,6 +625,54 @@ static uint64_t estimateDiv128To64( uint64_t a0, uint64_t a1, uint64_t b ) } +/* From the GNU Multi Precision Library - longlong.h __udiv_qrnnd + * (https://gmplib.org/repo/gmp/file/tip/longlong.h) + * + * Licensed under the GPLv2/LGPLv3 + */ +static uint64_t div128To64(uint64_t n0, uint64_t n1, uint64_t d) +{ + uint64_t d0, d1, q0, q1, r1, r0, m; + + d0 = (uint32_t)d; + d1 = d >> 32; + + r1 = n1 % d1; + q1 = n1 / d1; + m = q1 * d0; + r1 = (r1 << 32) | (n0 >> 32); + if (r1 < m) { + q1 -= 1; + r1 += d; + if (r1 >= d) { + if (r1 < m) { + q1 -= 1; + r1 += d; + } + } + } + r1 -= m; + + r0 = r1 % d1; + q0 = r1 / d1; + m = q0 * d0; + r0 = (r0 << 32) | (uint32_t)n0; + if (r0 < m) { + q0 -= 1; + r0 += d; + if (r0 >= d) { + if (r0 < m) { + q0 -= 1; + r0 += d; + } + } + } + r0 -= m; + + /* Return remainder in LSB */ + return (q1 << 32) | q0 | (r0 != 0); +} + /*---------------------------------------------------------------------------- | Returns an approximation to the square root of the 32-bit significand given | by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of diff --git a/fpu/softfloat-specialize.h b/fpu/softfloat-specialize.h index de2c5d5702..e81ca001e1 100644 --- a/fpu/softfloat-specialize.h +++ b/fpu/softfloat-specialize.h @@ -445,9 +445,10 @@ static float32 commonNaNToFloat32(commonNaNT a, float_status *status) #if defined(TARGET_ARM) static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag aIsLargerSignificand) + flag aIsLargerSignificand) { - /* ARM mandated NaN propagation rules: take the first of: + /* ARM mandated NaN propagation rules (see FPProcessNaNs()), take + * the first of: * 1. A if it is signaling * 2. B if it is signaling * 3. A (quiet) @@ -728,58 +729,6 @@ static float32 propagateFloat32NaN(float32 a, float32 b, float_status *status) } } -/*---------------------------------------------------------------------------- -| Takes three single-precision floating-point values `a', `b' and `c', one of -| which is a NaN, and returns the appropriate NaN result. If any of `a', -| `b' or `c' is a signaling NaN, the invalid exception is raised. -| The input infzero indicates whether a*b was 0*inf or inf*0 (in which case -| obviously c is a NaN, and whether to propagate c or some other NaN is -| implementation defined). -*----------------------------------------------------------------------------*/ - -static float32 propagateFloat32MulAddNaN(float32 a, float32 b, - float32 c, flag infzero, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN; - int which; - - aIsQuietNaN = float32_is_quiet_nan(a, status); - aIsSignalingNaN = float32_is_signaling_nan(a, status); - bIsQuietNaN = float32_is_quiet_nan(b, status); - bIsSignalingNaN = float32_is_signaling_nan(b, status); - cIsQuietNaN = float32_is_quiet_nan(c, status); - cIsSignalingNaN = float32_is_signaling_nan(c, status); - - if (aIsSignalingNaN | bIsSignalingNaN | cIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - which = pickNaNMulAdd(aIsQuietNaN, aIsSignalingNaN, - bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN, infzero, status); - - if (status->default_nan_mode) { - /* Note that this check is after pickNaNMulAdd so that function - * has an opportunity to set the Invalid flag. - */ - return float32_default_nan(status); - } - - switch (which) { - case 0: - return float32_maybe_silence_nan(a, status); - case 1: - return float32_maybe_silence_nan(b, status); - case 2: - return float32_maybe_silence_nan(c, status); - case 3: - default: - return float32_default_nan(status); - } -} - #ifdef NO_SIGNALING_NANS int float64_is_quiet_nan(float64 a_, float_status *status) { @@ -935,58 +884,6 @@ static float64 propagateFloat64NaN(float64 a, float64 b, float_status *status) } } -/*---------------------------------------------------------------------------- -| Takes three double-precision floating-point values `a', `b' and `c', one of -| which is a NaN, and returns the appropriate NaN result. If any of `a', -| `b' or `c' is a signaling NaN, the invalid exception is raised. -| The input infzero indicates whether a*b was 0*inf or inf*0 (in which case -| obviously c is a NaN, and whether to propagate c or some other NaN is -| implementation defined). -*----------------------------------------------------------------------------*/ - -static float64 propagateFloat64MulAddNaN(float64 a, float64 b, - float64 c, flag infzero, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN; - int which; - - aIsQuietNaN = float64_is_quiet_nan(a, status); - aIsSignalingNaN = float64_is_signaling_nan(a, status); - bIsQuietNaN = float64_is_quiet_nan(b, status); - bIsSignalingNaN = float64_is_signaling_nan(b, status); - cIsQuietNaN = float64_is_quiet_nan(c, status); - cIsSignalingNaN = float64_is_signaling_nan(c, status); - - if (aIsSignalingNaN | bIsSignalingNaN | cIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - which = pickNaNMulAdd(aIsQuietNaN, aIsSignalingNaN, - bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN, infzero, status); - - if (status->default_nan_mode) { - /* Note that this check is after pickNaNMulAdd so that function - * has an opportunity to set the Invalid flag. - */ - return float64_default_nan(status); - } - - switch (which) { - case 0: - return float64_maybe_silence_nan(a, status); - case 1: - return float64_maybe_silence_nan(b, status); - case 2: - return float64_maybe_silence_nan(c, status); - case 3: - default: - return float64_default_nan(status); - } -} - #ifdef NO_SIGNALING_NANS int floatx80_is_quiet_nan(floatx80 a_, float_status *status) { diff --git a/fpu/softfloat.c b/fpu/softfloat.c index 433c5dad2d..e7fb0d357a 100644 --- a/fpu/softfloat.c +++ b/fpu/softfloat.c @@ -83,7 +83,7 @@ this code that are retained. * target-dependent and needs the TARGET_* macros. */ #include "qemu/osdep.h" - +#include "qemu/bitops.h" #include "fpu/softfloat.h" /* We only need stdlib for abort() */ @@ -133,6 +133,1866 @@ static inline flag extractFloat16Sign(float16 a) } /*---------------------------------------------------------------------------- +| 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 flag 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) & LIT64(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 flag 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. + */ + +typedef enum __attribute__ ((__packed__)) { + float_class_unclassified, + float_class_zero, + float_class_normal, + float_class_inf, + float_class_qnan, /* all NaNs from here */ + float_class_snan, + float_class_dnan, + float_class_msnan, /* maybe silenced */ +} FloatClass; + +/* + * Structure holding all of the decomposed parts of a float. The + * exponent is unbiased and the fraction is normalized. All + * calculations are done with a 64 bit fraction and then rounded as + * appropriate for the final format. + * + * Thanks to the packed FloatClass a decent compiler should be able to + * fit the whole structure into registers and avoid using the stack + * for parameter passing. + */ + +typedef struct { + uint64_t frac; + int32_t exp; + FloatClass cls; + bool sign; +} FloatParts; + +#define DECOMPOSED_BINARY_POINT (64 - 2) +#define DECOMPOSED_IMPLICIT_BIT (1ull << DECOMPOSED_BINARY_POINT) +#define DECOMPOSED_OVERFLOW_BIT (DECOMPOSED_IMPLICIT_BIT << 1) + +/* Structure holding all of the relevant parameters for a format. + * exp_size: the size of the exponent field + * exp_bias: the offset applied to the exponent field + * exp_max: the maximum normalised exponent + * frac_size: the size of the fraction field + * frac_shift: shift to normalise the fraction with DECOMPOSED_BINARY_POINT + * The following are computed based the size of fraction + * frac_lsb: least significant bit of fraction + * fram_lsbm1: the bit bellow the least significant bit (for rounding) + * round_mask/roundeven_mask: masks used for rounding + */ +typedef struct { + int exp_size; + int exp_bias; + int exp_max; + int frac_size; + int frac_shift; + uint64_t frac_lsb; + uint64_t frac_lsbm1; + uint64_t round_mask; + uint64_t roundeven_mask; +} FloatFmt; + +/* Expand fields based on the size of exponent and fraction */ +#define FLOAT_PARAMS(E, F) \ + .exp_size = E, \ + .exp_bias = ((1 << E) - 1) >> 1, \ + .exp_max = (1 << E) - 1, \ + .frac_size = F, \ + .frac_shift = DECOMPOSED_BINARY_POINT - F, \ + .frac_lsb = 1ull << (DECOMPOSED_BINARY_POINT - F), \ + .frac_lsbm1 = 1ull << ((DECOMPOSED_BINARY_POINT - F) - 1), \ + .round_mask = (1ull << (DECOMPOSED_BINARY_POINT - F)) - 1, \ + .roundeven_mask = (2ull << (DECOMPOSED_BINARY_POINT - F)) - 1 + +static const FloatFmt float16_params = { + FLOAT_PARAMS(5, 10) +}; + +static const FloatFmt float32_params = { + FLOAT_PARAMS(8, 23) +}; + +static const FloatFmt float64_params = { + FLOAT_PARAMS(11, 52) +}; + +/* Unpack a float to parts, but do not canonicalize. */ +static inline FloatParts unpack_raw(FloatFmt fmt, uint64_t raw) +{ + const int sign_pos = fmt.frac_size + fmt.exp_size; + + return (FloatParts) { + .cls = float_class_unclassified, + .sign = extract64(raw, sign_pos, 1), + .exp = extract64(raw, fmt.frac_size, fmt.exp_size), + .frac = extract64(raw, 0, fmt.frac_size), + }; +} + +static inline FloatParts float16_unpack_raw(float16 f) +{ + return unpack_raw(float16_params, f); +} + +static inline FloatParts float32_unpack_raw(float32 f) +{ + return unpack_raw(float32_params, f); +} + +static inline FloatParts float64_unpack_raw(float64 f) +{ + return unpack_raw(float64_params, f); +} + +/* Pack a float from parts, but do not canonicalize. */ +static inline uint64_t pack_raw(FloatFmt fmt, FloatParts p) +{ + const int sign_pos = fmt.frac_size + fmt.exp_size; + uint64_t ret = deposit64(p.frac, fmt.frac_size, fmt.exp_size, p.exp); + return deposit64(ret, sign_pos, 1, p.sign); +} + +static inline float16 float16_pack_raw(FloatParts p) +{ + return make_float16(pack_raw(float16_params, p)); +} + +static inline float32 float32_pack_raw(FloatParts p) +{ + return make_float32(pack_raw(float32_params, p)); +} + +static inline float64 float64_pack_raw(FloatParts p) +{ + return make_float64(pack_raw(float64_params, p)); +} + +/* Canonicalize EXP and FRAC, setting CLS. */ +static FloatParts canonicalize(FloatParts part, const FloatFmt *parm, + float_status *status) +{ + if (part.exp == parm->exp_max) { + if (part.frac == 0) { + part.cls = float_class_inf; + } else { +#ifdef NO_SIGNALING_NANS + part.cls = float_class_qnan; +#else + int64_t msb = part.frac << (parm->frac_shift + 2); + if ((msb < 0) == status->snan_bit_is_one) { + part.cls = float_class_snan; + } else { + part.cls = float_class_qnan; + } +#endif + } + } else if (part.exp == 0) { + if (likely(part.frac == 0)) { + part.cls = float_class_zero; + } else if (status->flush_inputs_to_zero) { + float_raise(float_flag_input_denormal, status); + part.cls = float_class_zero; + part.frac = 0; + } else { + int shift = clz64(part.frac) - 1; + part.cls = float_class_normal; + part.exp = parm->frac_shift - parm->exp_bias - shift + 1; + part.frac <<= shift; + } + } else { + part.cls = float_class_normal; + part.exp -= parm->exp_bias; + part.frac = DECOMPOSED_IMPLICIT_BIT + (part.frac << parm->frac_shift); + } + return part; +} + +/* Round and uncanonicalize a floating-point number by parts. There + * are FRAC_SHIFT bits that may require rounding at the bottom of the + * fraction; these bits will be removed. The exponent will be biased + * by EXP_BIAS and must be bounded by [EXP_MAX-1, 0]. + */ + +static FloatParts round_canonical(FloatParts p, float_status *s, + const FloatFmt *parm) +{ + const uint64_t frac_lsbm1 = parm->frac_lsbm1; + const uint64_t round_mask = parm->round_mask; + const uint64_t roundeven_mask = parm->roundeven_mask; + const int exp_max = parm->exp_max; + const int frac_shift = parm->frac_shift; + uint64_t frac, inc; + int exp, flags = 0; + bool overflow_norm; + + frac = p.frac; + exp = p.exp; + + switch (p.cls) { + case float_class_normal: + switch (s->float_rounding_mode) { + case float_round_nearest_even: + overflow_norm = false; + inc = ((frac & roundeven_mask) != frac_lsbm1 ? frac_lsbm1 : 0); + break; + case float_round_ties_away: + overflow_norm = false; + inc = frac_lsbm1; + break; + case float_round_to_zero: + overflow_norm = true; + inc = 0; + break; + case float_round_up: + inc = p.sign ? 0 : round_mask; + overflow_norm = p.sign; + break; + case float_round_down: + inc = p.sign ? round_mask : 0; + overflow_norm = !p.sign; + break; + default: + g_assert_not_reached(); + } + + exp += parm->exp_bias; + if (likely(exp > 0)) { + if (frac & round_mask) { + flags |= float_flag_inexact; + frac += inc; + if (frac & DECOMPOSED_OVERFLOW_BIT) { + frac >>= 1; + exp++; + } + } + frac >>= frac_shift; + + if (unlikely(exp >= exp_max)) { + flags |= float_flag_overflow | float_flag_inexact; + if (overflow_norm) { + exp = exp_max - 1; + frac = -1; + } else { + p.cls = float_class_inf; + goto do_inf; + } + } + } else if (s->flush_to_zero) { + flags |= float_flag_output_denormal; + p.cls = float_class_zero; + goto do_zero; + } else { + bool is_tiny = (s->float_detect_tininess + == float_tininess_before_rounding) + || (exp < 0) + || !((frac + inc) & DECOMPOSED_OVERFLOW_BIT); + + shift64RightJamming(frac, 1 - exp, &frac); + if (frac & round_mask) { + /* Need to recompute round-to-even. */ + if (s->float_rounding_mode == float_round_nearest_even) { + inc = ((frac & roundeven_mask) != frac_lsbm1 + ? frac_lsbm1 : 0); + } + flags |= float_flag_inexact; + frac += inc; + } + + exp = (frac & DECOMPOSED_IMPLICIT_BIT ? 1 : 0); + frac >>= frac_shift; + + if (is_tiny && (flags & float_flag_inexact)) { + flags |= float_flag_underflow; + } + if (exp == 0 && frac == 0) { + p.cls = float_class_zero; + } + } + break; + + case float_class_zero: + do_zero: + exp = 0; + frac = 0; + break; + + case float_class_inf: + do_inf: + exp = exp_max; + frac = 0; + break; + + case float_class_qnan: + case float_class_snan: + exp = exp_max; + break; + + default: + g_assert_not_reached(); + } + + float_raise(flags, s); + p.exp = exp; + p.frac = frac; + return p; +} + +static FloatParts float16_unpack_canonical(float16 f, float_status *s) +{ + return canonicalize(float16_unpack_raw(f), &float16_params, s); +} + +static float16 float16_round_pack_canonical(FloatParts p, float_status *s) +{ + switch (p.cls) { + case float_class_dnan: + return float16_default_nan(s); + case float_class_msnan: + return float16_maybe_silence_nan(float16_pack_raw(p), s); + default: + p = round_canonical(p, s, &float16_params); + return float16_pack_raw(p); + } +} + +static FloatParts float32_unpack_canonical(float32 f, float_status *s) +{ + return canonicalize(float32_unpack_raw(f), &float32_params, s); +} + +static float32 float32_round_pack_canonical(FloatParts p, float_status *s) +{ + switch (p.cls) { + case float_class_dnan: + return float32_default_nan(s); + case float_class_msnan: + return float32_maybe_silence_nan(float32_pack_raw(p), s); + default: + p = round_canonical(p, s, &float32_params); + return float32_pack_raw(p); + } +} + +static FloatParts float64_unpack_canonical(float64 f, float_status *s) +{ + return canonicalize(float64_unpack_raw(f), &float64_params, s); +} + +static float64 float64_round_pack_canonical(FloatParts p, float_status *s) +{ + switch (p.cls) { + case float_class_dnan: + return float64_default_nan(s); + case float_class_msnan: + return float64_maybe_silence_nan(float64_pack_raw(p), s); + default: + p = round_canonical(p, s, &float64_params); + return float64_pack_raw(p); + } +} + +/* Simple helpers for checking if what NaN we have */ +static bool is_nan(FloatClass c) +{ + return unlikely(c >= float_class_qnan); +} +static bool is_snan(FloatClass c) +{ + return c == float_class_snan; +} +static bool is_qnan(FloatClass c) +{ + return c == float_class_qnan; +} + +static FloatParts return_nan(FloatParts a, float_status *s) +{ + switch (a.cls) { + case float_class_snan: + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_msnan; + /* fall through */ + case float_class_qnan: + if (s->default_nan_mode) { + a.cls = float_class_dnan; + } + break; + + default: + g_assert_not_reached(); + } + return a; +} + +static FloatParts pick_nan(FloatParts a, FloatParts b, float_status *s) +{ + if (is_snan(a.cls) || is_snan(b.cls)) { + s->float_exception_flags |= float_flag_invalid; + } + + if (s->default_nan_mode) { + a.cls = float_class_dnan; + } else { + if (pickNaN(is_qnan(a.cls), is_snan(a.cls), + is_qnan(b.cls), is_snan(b.cls), + a.frac > b.frac || + (a.frac == b.frac && a.sign < b.sign))) { + a = b; + } + a.cls = float_class_msnan; + } + return a; +} + +static FloatParts pick_nan_muladd(FloatParts a, FloatParts b, FloatParts c, + bool inf_zero, float_status *s) +{ + if (is_snan(a.cls) || is_snan(b.cls) || is_snan(c.cls)) { + s->float_exception_flags |= float_flag_invalid; + } + + if (s->default_nan_mode) { + a.cls = float_class_dnan; + } else { + switch (pickNaNMulAdd(is_qnan(a.cls), is_snan(a.cls), + is_qnan(b.cls), is_snan(b.cls), + is_qnan(c.cls), is_snan(c.cls), + inf_zero, s)) { + case 0: + break; + case 1: + a = b; + break; + case 2: + a = c; + break; + case 3: + a.cls = float_class_dnan; + return a; + default: + g_assert_not_reached(); + } + + a.cls = float_class_msnan; + } + return a; +} + +/* + * Returns the result of adding or subtracting the values of the + * floating-point values `a' and `b'. The operation is performed + * according to the IEC/IEEE Standard for Binary Floating-Point + * Arithmetic. + */ + +static FloatParts addsub_floats(FloatParts a, FloatParts b, bool subtract, + float_status *s) +{ + bool a_sign = a.sign; + bool b_sign = b.sign ^ subtract; + + if (a_sign != b_sign) { + /* Subtraction */ + + if (a.cls == float_class_normal && b.cls == float_class_normal) { + if (a.exp > b.exp || (a.exp == b.exp && a.frac >= b.frac)) { + shift64RightJamming(b.frac, a.exp - b.exp, &b.frac); + a.frac = a.frac - b.frac; + } else { + shift64RightJamming(a.frac, b.exp - a.exp, &a.frac); + a.frac = b.frac - a.frac; + a.exp = b.exp; + a_sign ^= 1; + } + + if (a.frac == 0) { + a.cls = float_class_zero; + a.sign = s->float_rounding_mode == float_round_down; + } else { + int shift = clz64(a.frac) - 1; + a.frac = a.frac << shift; + a.exp = a.exp - shift; + a.sign = a_sign; + } + return a; + } + if (is_nan(a.cls) || is_nan(b.cls)) { + return pick_nan(a, b, s); + } + if (a.cls == float_class_inf) { + if (b.cls == float_class_inf) { + float_raise(float_flag_invalid, s); + a.cls = float_class_dnan; + } + return a; + } + if (a.cls == float_class_zero && b.cls == float_class_zero) { + a.sign = s->float_rounding_mode == float_round_down; + return a; + } + if (a.cls == float_class_zero || b.cls == float_class_inf) { + b.sign = a_sign ^ 1; + return b; + } + if (b.cls == float_class_zero) { + return a; + } + } else { + /* Addition */ + if (a.cls == float_class_normal && b.cls == float_class_normal) { + if (a.exp > b.exp) { + shift64RightJamming(b.frac, a.exp - b.exp, &b.frac); + } else if (a.exp < b.exp) { + shift64RightJamming(a.frac, b.exp - a.exp, &a.frac); + a.exp = b.exp; + } + a.frac += b.frac; + if (a.frac & DECOMPOSED_OVERFLOW_BIT) { + a.frac >>= 1; + a.exp += 1; + } + return a; + } + if (is_nan(a.cls) || is_nan(b.cls)) { + return pick_nan(a, b, s); + } + if (a.cls == float_class_inf || b.cls == float_class_zero) { + return a; + } + if (b.cls == float_class_inf || a.cls == float_class_zero) { + b.sign = b_sign; + return b; + } + } + g_assert_not_reached(); +} + +/* + * Returns the result of adding or subtracting the floating-point + * values `a' and `b'. The operation is performed according to the + * IEC/IEEE Standard for Binary Floating-Point Arithmetic. + */ + +float16 __attribute__((flatten)) float16_add(float16 a, float16 b, + float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pb = float16_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, false, status); + + return float16_round_pack_canonical(pr, status); +} + +float32 __attribute__((flatten)) float32_add(float32 a, float32 b, + float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pb = float32_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, false, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 __attribute__((flatten)) float64_add(float64 a, float64 b, + float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pb = float64_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, false, status); + + return float64_round_pack_canonical(pr, status); +} + +float16 __attribute__((flatten)) float16_sub(float16 a, float16 b, + float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pb = float16_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, true, status); + + return float16_round_pack_canonical(pr, status); +} + +float32 __attribute__((flatten)) float32_sub(float32 a, float32 b, + float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pb = float32_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, true, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 __attribute__((flatten)) float64_sub(float64 a, float64 b, + float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pb = float64_unpack_canonical(b, status); + FloatParts pr = addsub_floats(pa, pb, true, status); + + return float64_round_pack_canonical(pr, status); +} + +/* + * Returns the result of multiplying the floating-point values `a' and + * `b'. The operation is performed according to the IEC/IEEE Standard + * for Binary Floating-Point Arithmetic. + */ + +static FloatParts mul_floats(FloatParts a, FloatParts b, float_status *s) +{ + bool sign = a.sign ^ b.sign; + + if (a.cls == float_class_normal && b.cls == float_class_normal) { + uint64_t hi, lo; + int exp = a.exp + b.exp; + + mul64To128(a.frac, b.frac, &hi, &lo); + shift128RightJamming(hi, lo, DECOMPOSED_BINARY_POINT, &hi, &lo); + if (lo & DECOMPOSED_OVERFLOW_BIT) { + shift64RightJamming(lo, 1, &lo); + exp += 1; + } + + /* Re-use a */ + a.exp = exp; + a.sign = sign; + a.frac = lo; + return a; + } + /* handle all the NaN cases */ + if (is_nan(a.cls) || is_nan(b.cls)) { + return pick_nan(a, b, s); + } + /* Inf * Zero == NaN */ + if ((a.cls == float_class_inf && b.cls == float_class_zero) || + (a.cls == float_class_zero && b.cls == float_class_inf)) { + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_dnan; + a.sign = sign; + return a; + } + /* Multiply by 0 or Inf */ + if (a.cls == float_class_inf || a.cls == float_class_zero) { + a.sign = sign; + return a; + } + if (b.cls == float_class_inf || b.cls == float_class_zero) { + b.sign = sign; + return b; + } + g_assert_not_reached(); +} + +float16 __attribute__((flatten)) float16_mul(float16 a, float16 b, + float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pb = float16_unpack_canonical(b, status); + FloatParts pr = mul_floats(pa, pb, status); + + return float16_round_pack_canonical(pr, status); +} + +float32 __attribute__((flatten)) float32_mul(float32 a, float32 b, + float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pb = float32_unpack_canonical(b, status); + FloatParts pr = mul_floats(pa, pb, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 __attribute__((flatten)) float64_mul(float64 a, float64 b, + float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pb = float64_unpack_canonical(b, status); + FloatParts pr = mul_floats(pa, pb, status); + + return float64_round_pack_canonical(pr, status); +} + +/* + * Returns the result of multiplying the floating-point values `a' and + * `b' then adding 'c', with no intermediate rounding step after the + * multiplication. The operation is performed according to the + * IEC/IEEE Standard for Binary Floating-Point Arithmetic 754-2008. + * The flags argument allows the caller to select negation of the + * addend, the intermediate product, or the final result. (The + * difference between this and having the caller do a separate + * negation is that negating externally will flip the sign bit on + * NaNs.) + */ + +static FloatParts muladd_floats(FloatParts a, FloatParts b, FloatParts c, + int flags, float_status *s) +{ + bool inf_zero = ((1 << a.cls) | (1 << b.cls)) == + ((1 << float_class_inf) | (1 << float_class_zero)); + bool p_sign; + bool sign_flip = flags & float_muladd_negate_result; + FloatClass p_class; + uint64_t hi, lo; + int p_exp; + + /* It is implementation-defined whether the cases of (0,inf,qnan) + * and (inf,0,qnan) raise InvalidOperation or not (and what QNaN + * they return if they do), so we have to hand this information + * off to the target-specific pick-a-NaN routine. + */ + if (is_nan(a.cls) || is_nan(b.cls) || is_nan(c.cls)) { + return pick_nan_muladd(a, b, c, inf_zero, s); + } + + if (inf_zero) { + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_dnan; + return a; + } + + if (flags & float_muladd_negate_c) { + c.sign ^= 1; + } + + p_sign = a.sign ^ b.sign; + + if (flags & float_muladd_negate_product) { + p_sign ^= 1; + } + + if (a.cls == float_class_inf || b.cls == float_class_inf) { + p_class = float_class_inf; + } else if (a.cls == float_class_zero || b.cls == float_class_zero) { + p_class = float_class_zero; + } else { + p_class = float_class_normal; + } + + if (c.cls == float_class_inf) { + if (p_class == float_class_inf && p_sign != c.sign) { + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_dnan; + } else { + a.cls = float_class_inf; + a.sign = c.sign ^ sign_flip; + } + return a; + } + + if (p_class == float_class_inf) { + a.cls = float_class_inf; + a.sign = p_sign ^ sign_flip; + return a; + } + + if (p_class == float_class_zero) { + if (c.cls == float_class_zero) { + if (p_sign != c.sign) { + p_sign = s->float_rounding_mode == float_round_down; + } + c.sign = p_sign; + } else if (flags & float_muladd_halve_result) { + c.exp -= 1; + } + c.sign ^= sign_flip; + return c; + } + + /* a & b should be normals now... */ + assert(a.cls == float_class_normal && + b.cls == float_class_normal); + + p_exp = a.exp + b.exp; + + /* Multiply of 2 62-bit numbers produces a (2*62) == 124-bit + * result. + */ + mul64To128(a.frac, b.frac, &hi, &lo); + /* binary point now at bit 124 */ + + /* check for overflow */ + if (hi & (1ULL << (DECOMPOSED_BINARY_POINT * 2 + 1 - 64))) { + shift128RightJamming(hi, lo, 1, &hi, &lo); + p_exp += 1; + } + + /* + add/sub */ + if (c.cls == float_class_zero) { + /* move binary point back to 62 */ + shift128RightJamming(hi, lo, DECOMPOSED_BINARY_POINT, &hi, &lo); + } else { + int exp_diff = p_exp - c.exp; + if (p_sign == c.sign) { + /* Addition */ + if (exp_diff <= 0) { + shift128RightJamming(hi, lo, + DECOMPOSED_BINARY_POINT - exp_diff, + &hi, &lo); + lo += c.frac; + p_exp = c.exp; + } else { + uint64_t c_hi, c_lo; + /* shift c to the same binary point as the product (124) */ + c_hi = c.frac >> 2; + c_lo = 0; + shift128RightJamming(c_hi, c_lo, + exp_diff, + &c_hi, &c_lo); + add128(hi, lo, c_hi, c_lo, &hi, &lo); + /* move binary point back to 62 */ + shift128RightJamming(hi, lo, DECOMPOSED_BINARY_POINT, &hi, &lo); + } + + if (lo & DECOMPOSED_OVERFLOW_BIT) { + shift64RightJamming(lo, 1, &lo); + p_exp += 1; + } + + } else { + /* Subtraction */ + uint64_t c_hi, c_lo; + /* make C binary point match product at bit 124 */ + c_hi = c.frac >> 2; + c_lo = 0; + + if (exp_diff <= 0) { + shift128RightJamming(hi, lo, -exp_diff, &hi, &lo); + if (exp_diff == 0 + && + (hi > c_hi || (hi == c_hi && lo >= c_lo))) { + sub128(hi, lo, c_hi, c_lo, &hi, &lo); + } else { + sub128(c_hi, c_lo, hi, lo, &hi, &lo); + p_sign ^= 1; + p_exp = c.exp; + } + } else { + shift128RightJamming(c_hi, c_lo, + exp_diff, + &c_hi, &c_lo); + sub128(hi, lo, c_hi, c_lo, &hi, &lo); + } + + if (hi == 0 && lo == 0) { + a.cls = float_class_zero; + a.sign = s->float_rounding_mode == float_round_down; + a.sign ^= sign_flip; + return a; + } else { + int shift; + if (hi != 0) { + shift = clz64(hi); + } else { + shift = clz64(lo) + 64; + } + /* Normalizing to a binary point of 124 is the + correct adjust for the exponent. However since we're + shifting, we might as well put the binary point back + at 62 where we really want it. Therefore shift as + if we're leaving 1 bit at the top of the word, but + adjust the exponent as if we're leaving 3 bits. */ + shift -= 1; + if (shift >= 64) { + lo = lo << (shift - 64); + } else { + hi = (hi << shift) | (lo >> (64 - shift)); + lo = hi | ((lo << shift) != 0); + } + p_exp -= shift - 2; + } + } + } + + if (flags & float_muladd_halve_result) { + p_exp -= 1; + } + + /* finally prepare our result */ + a.cls = float_class_normal; + a.sign = p_sign ^ sign_flip; + a.exp = p_exp; + a.frac = lo; + + return a; +} + +float16 __attribute__((flatten)) float16_muladd(float16 a, float16 b, float16 c, + int flags, float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pb = float16_unpack_canonical(b, status); + FloatParts pc = float16_unpack_canonical(c, status); + FloatParts pr = muladd_floats(pa, pb, pc, flags, status); + + return float16_round_pack_canonical(pr, status); +} + +float32 __attribute__((flatten)) float32_muladd(float32 a, float32 b, float32 c, + int flags, float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pb = float32_unpack_canonical(b, status); + FloatParts pc = float32_unpack_canonical(c, status); + FloatParts pr = muladd_floats(pa, pb, pc, flags, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 __attribute__((flatten)) float64_muladd(float64 a, float64 b, float64 c, + int flags, float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pb = float64_unpack_canonical(b, status); + FloatParts pc = float64_unpack_canonical(c, status); + FloatParts pr = muladd_floats(pa, pb, pc, flags, status); + + return float64_round_pack_canonical(pr, status); +} + +/* + * Returns the result of dividing the floating-point value `a' by the + * corresponding value `b'. The operation is performed according to + * the IEC/IEEE Standard for Binary Floating-Point Arithmetic. + */ + +static FloatParts div_floats(FloatParts a, FloatParts b, float_status *s) +{ + bool sign = a.sign ^ b.sign; + + if (a.cls == float_class_normal && b.cls == float_class_normal) { + uint64_t temp_lo, temp_hi; + int exp = a.exp - b.exp; + if (a.frac < b.frac) { + exp -= 1; + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT + 1, + &temp_hi, &temp_lo); + } else { + shortShift128Left(0, a.frac, DECOMPOSED_BINARY_POINT, + &temp_hi, &temp_lo); + } + /* LSB of quot is set if inexact which roundandpack will use + * to set flags. Yet again we re-use a for the result */ + a.frac = div128To64(temp_lo, temp_hi, b.frac); + a.sign = sign; + a.exp = exp; + return a; + } + /* handle all the NaN cases */ + if (is_nan(a.cls) || is_nan(b.cls)) { + return pick_nan(a, b, s); + } + /* 0/0 or Inf/Inf */ + if (a.cls == b.cls + && + (a.cls == float_class_inf || a.cls == float_class_zero)) { + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_dnan; + return a; + } + /* Div 0 => Inf */ + if (b.cls == float_class_zero) { + s->float_exception_flags |= float_flag_divbyzero; + a.cls = float_class_inf; + a.sign = sign; + return a; + } + /* Inf / x or 0 / x */ + if (a.cls == float_class_inf || a.cls == float_class_zero) { + a.sign = sign; + return a; + } + /* Div by Inf */ + if (b.cls == float_class_inf) { + a.cls = float_class_zero; + a.sign = sign; + return a; + } + g_assert_not_reached(); +} + +float16 float16_div(float16 a, float16 b, float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pb = float16_unpack_canonical(b, status); + FloatParts pr = div_floats(pa, pb, status); + + return float16_round_pack_canonical(pr, status); +} + +float32 float32_div(float32 a, float32 b, float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pb = float32_unpack_canonical(b, status); + FloatParts pr = div_floats(pa, pb, status); + + return float32_round_pack_canonical(pr, status); +} + +float64 float64_div(float64 a, float64 b, float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pb = float64_unpack_canonical(b, status); + FloatParts pr = div_floats(pa, pb, status); + + return float64_round_pack_canonical(pr, status); +} + +/* + * Rounds the floating-point value `a' to an integer, and returns the + * result as a floating-point value. The operation is performed + * according to the IEC/IEEE Standard for Binary Floating-Point + * Arithmetic. + */ + +static FloatParts round_to_int(FloatParts a, int rounding_mode, float_status *s) +{ + if (is_nan(a.cls)) { + return return_nan(a, s); + } + + switch (a.cls) { + case float_class_zero: + case float_class_inf: + case float_class_qnan: + /* already "integral" */ + break; + case float_class_normal: + if (a.exp >= DECOMPOSED_BINARY_POINT) { + /* already integral */ + break; + } + if (a.exp < 0) { + bool one; + /* all fractional */ + s->float_exception_flags |= float_flag_inexact; + switch (rounding_mode) { + case float_round_nearest_even: + one = a.exp == -1 && a.frac > DECOMPOSED_IMPLICIT_BIT; + break; + case float_round_ties_away: + one = a.exp == -1 && a.frac >= DECOMPOSED_IMPLICIT_BIT; + break; + case float_round_to_zero: + one = false; + break; + case float_round_up: + one = !a.sign; + break; + case float_round_down: + one = a.sign; + break; + default: + g_assert_not_reached(); + } + + if (one) { + a.frac = DECOMPOSED_IMPLICIT_BIT; + a.exp = 0; + } else { + a.cls = float_class_zero; + } + } else { + uint64_t frac_lsb = DECOMPOSED_IMPLICIT_BIT >> a.exp; + uint64_t frac_lsbm1 = frac_lsb >> 1; + uint64_t rnd_even_mask = (frac_lsb - 1) | frac_lsb; + uint64_t rnd_mask = rnd_even_mask >> 1; + uint64_t inc; + + switch (rounding_mode) { + case float_round_nearest_even: + inc = ((a.frac & rnd_even_mask) != frac_lsbm1 ? frac_lsbm1 : 0); + break; + case float_round_ties_away: + inc = frac_lsbm1; + break; + case float_round_to_zero: + inc = 0; + break; + case float_round_up: + inc = a.sign ? 0 : rnd_mask; + break; + case float_round_down: + inc = a.sign ? rnd_mask : 0; + break; + default: + g_assert_not_reached(); + } + + if (a.frac & rnd_mask) { + s->float_exception_flags |= float_flag_inexact; + a.frac += inc; + a.frac &= ~rnd_mask; + if (a.frac & DECOMPOSED_OVERFLOW_BIT) { + a.frac >>= 1; + a.exp++; + } + } + } + break; + default: + g_assert_not_reached(); + } + return a; +} + +float16 float16_round_to_int(float16 a, float_status *s) +{ + FloatParts pa = float16_unpack_canonical(a, s); + FloatParts pr = round_to_int(pa, s->float_rounding_mode, s); + return float16_round_pack_canonical(pr, s); +} + +float32 float32_round_to_int(float32 a, float_status *s) +{ + FloatParts pa = float32_unpack_canonical(a, s); + FloatParts pr = round_to_int(pa, s->float_rounding_mode, s); + return float32_round_pack_canonical(pr, s); +} + +float64 float64_round_to_int(float64 a, float_status *s) +{ + FloatParts pa = float64_unpack_canonical(a, s); + FloatParts pr = round_to_int(pa, s->float_rounding_mode, s); + return float64_round_pack_canonical(pr, s); +} + +float64 float64_trunc_to_int(float64 a, float_status *s) +{ + FloatParts pa = float64_unpack_canonical(a, s); + FloatParts pr = round_to_int(pa, float_round_to_zero, s); + return float64_round_pack_canonical(pr, s); +} + +/* + * Returns the result of converting the floating-point value `a' to + * the two's complement integer format. The conversion is performed + * according to the IEC/IEEE Standard for Binary Floating-Point + * Arithmetic---which means in particular that the conversion is + * rounded according to the current rounding mode. If `a' is a NaN, + * the largest positive integer is returned. Otherwise, if the + * conversion overflows, the largest integer with the same sign as `a' + * is returned. +*/ + +static int64_t round_to_int_and_pack(FloatParts in, int rmode, + int64_t min, int64_t max, + float_status *s) +{ + uint64_t r; + int orig_flags = get_float_exception_flags(s); + FloatParts p = round_to_int(in, rmode, s); + + switch (p.cls) { + case float_class_snan: + case float_class_qnan: + return max; + case float_class_inf: + return p.sign ? min : max; + case float_class_zero: + return 0; + case float_class_normal: + if (p.exp < DECOMPOSED_BINARY_POINT) { + r = p.frac >> (DECOMPOSED_BINARY_POINT - p.exp); + } else if (p.exp - DECOMPOSED_BINARY_POINT < 2) { + r = p.frac << (p.exp - DECOMPOSED_BINARY_POINT); + } else { + r = UINT64_MAX; + } + if (p.sign) { + if (r < -(uint64_t) min) { + return -r; + } else { + s->float_exception_flags = orig_flags | float_flag_invalid; + return min; + } + } else { + if (r < max) { + return r; + } else { + s->float_exception_flags = orig_flags | float_flag_invalid; + return max; + } + } + default: + g_assert_not_reached(); + } +} + +#define FLOAT_TO_INT(fsz, isz) \ +int ## isz ## _t float ## fsz ## _to_int ## isz(float ## fsz a, \ + float_status *s) \ +{ \ + FloatParts p = float ## fsz ## _unpack_canonical(a, s); \ + return round_to_int_and_pack(p, s->float_rounding_mode, \ + INT ## isz ## _MIN, INT ## isz ## _MAX,\ + s); \ +} \ + \ +int ## isz ## _t float ## fsz ## _to_int ## isz ## _round_to_zero \ + (float ## fsz a, float_status *s) \ +{ \ + FloatParts p = float ## fsz ## _unpack_canonical(a, s); \ + return round_to_int_and_pack(p, float_round_to_zero, \ + INT ## isz ## _MIN, INT ## isz ## _MAX,\ + s); \ +} + +FLOAT_TO_INT(16, 16) +FLOAT_TO_INT(16, 32) +FLOAT_TO_INT(16, 64) + +FLOAT_TO_INT(32, 16) +FLOAT_TO_INT(32, 32) +FLOAT_TO_INT(32, 64) + +FLOAT_TO_INT(64, 16) +FLOAT_TO_INT(64, 32) +FLOAT_TO_INT(64, 64) + +#undef FLOAT_TO_INT + +/* + * Returns the result of converting the floating-point value `a' to + * the unsigned integer format. The conversion is performed according + * to the IEC/IEEE Standard for Binary Floating-Point + * Arithmetic---which means in particular that the conversion is + * rounded according to the current rounding mode. If `a' is a NaN, + * the largest unsigned integer is returned. Otherwise, if the + * conversion overflows, the largest unsigned integer is returned. If + * the 'a' is negative, the result is rounded and zero is returned; + * values that do not round to zero will raise the inexact exception + * flag. + */ + +static uint64_t round_to_uint_and_pack(FloatParts in, int rmode, uint64_t max, + float_status *s) +{ + int orig_flags = get_float_exception_flags(s); + FloatParts p = round_to_int(in, rmode, s); + + switch (p.cls) { + case float_class_snan: + case float_class_qnan: + s->float_exception_flags = orig_flags | float_flag_invalid; + return max; + case float_class_inf: + return p.sign ? 0 : max; + case float_class_zero: + return 0; + case float_class_normal: + { + uint64_t r; + if (p.sign) { + s->float_exception_flags = orig_flags | float_flag_invalid; + return 0; + } + + if (p.exp < DECOMPOSED_BINARY_POINT) { + r = p.frac >> (DECOMPOSED_BINARY_POINT - p.exp); + } else if (p.exp - DECOMPOSED_BINARY_POINT < 2) { + r = p.frac << (p.exp - DECOMPOSED_BINARY_POINT); + } else { + s->float_exception_flags = orig_flags | float_flag_invalid; + return max; + } + + /* For uint64 this will never trip, but if p.exp is too large + * to shift a decomposed fraction we shall have exited via the + * 3rd leg above. + */ + if (r > max) { + s->float_exception_flags = orig_flags | float_flag_invalid; + return max; + } else { + return r; + } + } + default: + g_assert_not_reached(); + } +} + +#define FLOAT_TO_UINT(fsz, isz) \ +uint ## isz ## _t float ## fsz ## _to_uint ## isz(float ## fsz a, \ + float_status *s) \ +{ \ + FloatParts p = float ## fsz ## _unpack_canonical(a, s); \ + return round_to_uint_and_pack(p, s->float_rounding_mode, \ + UINT ## isz ## _MAX, s); \ +} \ + \ +uint ## isz ## _t float ## fsz ## _to_uint ## isz ## _round_to_zero \ + (float ## fsz a, float_status *s) \ +{ \ + FloatParts p = float ## fsz ## _unpack_canonical(a, s); \ + return round_to_uint_and_pack(p, s->float_rounding_mode, \ + UINT ## isz ## _MAX, s); \ +} + +FLOAT_TO_UINT(16, 16) +FLOAT_TO_UINT(16, 32) +FLOAT_TO_UINT(16, 64) + +FLOAT_TO_UINT(32, 16) +FLOAT_TO_UINT(32, 32) +FLOAT_TO_UINT(32, 64) + +FLOAT_TO_UINT(64, 16) +FLOAT_TO_UINT(64, 32) +FLOAT_TO_UINT(64, 64) + +#undef FLOAT_TO_UINT + +/* + * Integer to float conversions + * + * Returns the result of converting the two's complement integer `a' + * to the floating-point format. The conversion is performed according + * to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. + */ + +static FloatParts int_to_float(int64_t a, float_status *status) +{ + FloatParts r; + if (a == 0) { + r.cls = float_class_zero; + r.sign = false; + } else if (a == (1ULL << 63)) { + r.cls = float_class_normal; + r.sign = true; + r.frac = DECOMPOSED_IMPLICIT_BIT; + r.exp = 63; + } else { + uint64_t f; + if (a < 0) { + f = -a; + r.sign = true; + } else { + f = a; + r.sign = false; + } + int shift = clz64(f) - 1; + r.cls = float_class_normal; + r.exp = (DECOMPOSED_BINARY_POINT - shift); + r.frac = f << shift; + } + + return r; +} + +float16 int64_to_float16(int64_t a, float_status *status) +{ + FloatParts pa = int_to_float(a, status); + return float16_round_pack_canonical(pa, status); +} + +float16 int32_to_float16(int32_t a, float_status *status) +{ + return int64_to_float16(a, status); +} + +float16 int16_to_float16(int16_t a, float_status *status) +{ + return int64_to_float16(a, status); +} + +float32 int64_to_float32(int64_t a, float_status *status) +{ + FloatParts pa = int_to_float(a, status); + return float32_round_pack_canonical(pa, status); +} + +float32 int32_to_float32(int32_t a, float_status *status) +{ + return int64_to_float32(a, status); +} + +float32 int16_to_float32(int16_t a, float_status *status) +{ + return int64_to_float32(a, status); +} + +float64 int64_to_float64(int64_t a, float_status *status) +{ + FloatParts pa = int_to_float(a, status); + return float64_round_pack_canonical(pa, status); +} + +float64 int32_to_float64(int32_t a, float_status *status) +{ + return int64_to_float64(a, status); +} + +float64 int16_to_float64(int16_t a, float_status *status) +{ + return int64_to_float64(a, status); +} + + +/* + * Unsigned Integer to float conversions + * + * Returns the result of converting the unsigned integer `a' to the + * floating-point format. The conversion is performed according to the + * IEC/IEEE Standard for Binary Floating-Point Arithmetic. + */ + +static FloatParts uint_to_float(uint64_t a, float_status *status) +{ + FloatParts r = { .sign = false}; + + if (a == 0) { + r.cls = float_class_zero; + } else { + int spare_bits = clz64(a) - 1; + r.cls = float_class_normal; + r.exp = DECOMPOSED_BINARY_POINT - spare_bits; + if (spare_bits < 0) { + shift64RightJamming(a, -spare_bits, &a); + r.frac = a; + } else { + r.frac = a << spare_bits; + } + } + + return r; +} + +float16 uint64_to_float16(uint64_t a, float_status *status) +{ + FloatParts pa = uint_to_float(a, status); + return float16_round_pack_canonical(pa, status); +} + +float16 uint32_to_float16(uint32_t a, float_status *status) +{ + return uint64_to_float16(a, status); +} + +float16 uint16_to_float16(uint16_t a, float_status *status) +{ + return uint64_to_float16(a, status); +} + +float32 uint64_to_float32(uint64_t a, float_status *status) +{ + FloatParts pa = uint_to_float(a, status); + return float32_round_pack_canonical(pa, status); +} + +float32 uint32_to_float32(uint32_t a, float_status *status) +{ + return uint64_to_float32(a, status); +} + +float32 uint16_to_float32(uint16_t a, float_status *status) +{ + return uint64_to_float32(a, status); +} + +float64 uint64_to_float64(uint64_t a, float_status *status) +{ + FloatParts pa = uint_to_float(a, status); + return float64_round_pack_canonical(pa, status); +} + +float64 uint32_to_float64(uint32_t a, float_status *status) +{ + return uint64_to_float64(a, status); +} + +float64 uint16_to_float64(uint16_t a, float_status *status) +{ + return uint64_to_float64(a, status); +} + +/* Float Min/Max */ +/* min() and max() functions. These can't be implemented as + * 'compare and pick one input' because that would mishandle + * NaNs and +0 vs -0. + * + * minnum() and maxnum() functions. These are similar to the min() + * and max() functions but if one of the arguments is a QNaN and + * the other is numerical then the numerical argument is returned. + * SNaNs will get quietened before being returned. + * minnum() and maxnum correspond to the IEEE 754-2008 minNum() + * and maxNum() operations. min() and max() are the typical min/max + * semantics provided by many CPUs which predate that specification. + * + * minnummag() and maxnummag() functions correspond to minNumMag() + * and minNumMag() from the IEEE-754 2008. + */ +static FloatParts minmax_floats(FloatParts a, FloatParts b, bool ismin, + bool ieee, bool ismag, float_status *s) +{ + if (unlikely(is_nan(a.cls) || is_nan(b.cls))) { + if (ieee) { + /* Takes two 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. + */ + if (is_snan(a.cls) || is_snan(b.cls)) { + return pick_nan(a, b, s); + } else if (is_nan(a.cls) && !is_nan(b.cls)) { + return b; + } else if (is_nan(b.cls) && !is_nan(a.cls)) { + return a; + } + } + return pick_nan(a, b, s); + } else { + int a_exp, b_exp; + bool a_sign, b_sign; + + switch (a.cls) { + case float_class_normal: + a_exp = a.exp; + break; + case float_class_inf: + a_exp = INT_MAX; + break; + case float_class_zero: + a_exp = INT_MIN; + break; + default: + g_assert_not_reached(); + break; + } + switch (b.cls) { + case float_class_normal: + b_exp = b.exp; + break; + case float_class_inf: + b_exp = INT_MAX; + break; + case float_class_zero: + b_exp = INT_MIN; + break; + default: + g_assert_not_reached(); + break; + } + + a_sign = a.sign; + b_sign = b.sign; + if (ismag) { + a_sign = b_sign = 0; + } + + if (a_sign == b_sign) { + bool a_less = a_exp < b_exp; + if (a_exp == b_exp) { + a_less = a.frac < b.frac; + } + return a_sign ^ a_less ^ ismin ? b : a; + } else { + return a_sign ^ ismin ? b : a; + } + } +} + +#define MINMAX(sz, name, ismin, isiee, ismag) \ +float ## sz float ## sz ## _ ## name(float ## sz a, float ## sz b, \ + float_status *s) \ +{ \ + FloatParts pa = float ## sz ## _unpack_canonical(a, s); \ + FloatParts pb = float ## sz ## _unpack_canonical(b, s); \ + FloatParts pr = minmax_floats(pa, pb, ismin, isiee, ismag, s); \ + \ + return float ## sz ## _round_pack_canonical(pr, s); \ +} + +MINMAX(16, min, true, false, false) +MINMAX(16, minnum, true, true, false) +MINMAX(16, minnummag, true, true, true) +MINMAX(16, max, false, false, false) +MINMAX(16, maxnum, false, true, false) +MINMAX(16, maxnummag, false, true, true) + +MINMAX(32, min, true, false, false) +MINMAX(32, minnum, true, true, false) +MINMAX(32, minnummag, true, true, true) +MINMAX(32, max, false, false, false) +MINMAX(32, maxnum, false, true, false) +MINMAX(32, maxnummag, false, true, true) + +MINMAX(64, min, true, false, false) +MINMAX(64, minnum, true, true, false) +MINMAX(64, minnummag, true, true, true) +MINMAX(64, max, false, false, false) +MINMAX(64, maxnum, false, true, false) +MINMAX(64, maxnummag, false, true, true) + +#undef MINMAX + +/* Floating point compare */ +static int compare_floats(FloatParts a, FloatParts b, bool is_quiet, + float_status *s) +{ + if (is_nan(a.cls) || is_nan(b.cls)) { + if (!is_quiet || + a.cls == float_class_snan || + b.cls == float_class_snan) { + s->float_exception_flags |= float_flag_invalid; + } + return float_relation_unordered; + } + + if (a.cls == float_class_zero) { + if (b.cls == float_class_zero) { + return float_relation_equal; + } + return b.sign ? float_relation_greater : float_relation_less; + } else if (b.cls == float_class_zero) { + return a.sign ? float_relation_less : float_relation_greater; + } + + /* The only really important thing about infinity is its sign. If + * both are infinities the sign marks the smallest of the two. + */ + if (a.cls == float_class_inf) { + if ((b.cls == float_class_inf) && (a.sign == b.sign)) { + return float_relation_equal; + } + return a.sign ? float_relation_less : float_relation_greater; + } else if (b.cls == float_class_inf) { + return b.sign ? float_relation_greater : float_relation_less; + } + + if (a.sign != b.sign) { + return a.sign ? float_relation_less : float_relation_greater; + } + + if (a.exp == b.exp) { + if (a.frac == b.frac) { + return float_relation_equal; + } + if (a.sign) { + return a.frac > b.frac ? + float_relation_less : float_relation_greater; + } else { + return a.frac > b.frac ? + float_relation_greater : float_relation_less; + } + } else { + if (a.sign) { + return a.exp > b.exp ? float_relation_less : float_relation_greater; + } else { + return a.exp > b.exp ? float_relation_greater : float_relation_less; + } + } +} + +#define COMPARE(sz) \ +int float ## sz ## _compare(float ## sz a, float ## sz b, \ + float_status *s) \ +{ \ + FloatParts pa = float ## sz ## _unpack_canonical(a, s); \ + FloatParts pb = float ## sz ## _unpack_canonical(b, s); \ + return compare_floats(pa, pb, false, s); \ +} \ +int float ## sz ## _compare_quiet(float ## sz a, float ## sz b, \ + float_status *s) \ +{ \ + FloatParts pa = float ## sz ## _unpack_canonical(a, s); \ + FloatParts pb = float ## sz ## _unpack_canonical(b, s); \ + return compare_floats(pa, pb, true, s); \ +} + +COMPARE(16) +COMPARE(32) +COMPARE(64) + +#undef COMPARE + +/* Multiply A by 2 raised to the power N. */ +static FloatParts scalbn_decomposed(FloatParts a, int n, float_status *s) +{ + if (unlikely(is_nan(a.cls))) { + return return_nan(a, s); + } + if (a.cls == float_class_normal) { + a.exp += n; + } + return a; +} + +float16 float16_scalbn(float16 a, int n, float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pr = scalbn_decomposed(pa, n, status); + return float16_round_pack_canonical(pr, status); +} + +float32 float32_scalbn(float32 a, int n, float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pr = scalbn_decomposed(pa, n, status); + return float32_round_pack_canonical(pr, status); +} + +float64 float64_scalbn(float64 a, int n, float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pr = scalbn_decomposed(pa, n, status); + return float64_round_pack_canonical(pr, status); +} + +/* + * Square Root + * + * The old softfloat code did an approximation step before zeroing in + * on the final result. However for simpleness we just compute the + * square root by iterating down from the implicit bit to enough extra + * bits to ensure we get a correctly rounded result. + * + * This does mean however the calculation is slower than before, + * especially for 64 bit floats. + */ + +static FloatParts sqrt_float(FloatParts a, float_status *s, const FloatFmt *p) +{ + uint64_t a_frac, r_frac, s_frac; + int bit, last_bit; + + if (is_nan(a.cls)) { + return return_nan(a, s); + } + if (a.cls == float_class_zero) { + return a; /* sqrt(+-0) = +-0 */ + } + if (a.sign) { + s->float_exception_flags |= float_flag_invalid; + a.cls = float_class_dnan; + return a; + } + if (a.cls == float_class_inf) { + return a; /* sqrt(+inf) = +inf */ + } + + assert(a.cls == float_class_normal); + + /* We need two overflow bits at the top. Adding room for that is a + * right shift. If the exponent is odd, we can discard the low bit + * by multiplying the fraction by 2; that's a left shift. Combine + * those and we shift right if the exponent is even. + */ + a_frac = a.frac; + if (!(a.exp & 1)) { + a_frac >>= 1; + } + a.exp >>= 1; + + /* Bit-by-bit computation of sqrt. */ + r_frac = 0; + s_frac = 0; + + /* Iterate from implicit bit down to the 3 extra bits to compute a + * properly rounded result. Remember we've inserted one more bit + * at the top, so these positions are one less. + */ + bit = DECOMPOSED_BINARY_POINT - 1; + last_bit = MAX(p->frac_shift - 4, 0); + do { + uint64_t q = 1ULL << bit; + uint64_t t_frac = s_frac + q; + if (t_frac <= a_frac) { + s_frac = t_frac + q; + a_frac -= t_frac; + r_frac += q; + } + a_frac <<= 1; + } while (--bit >= last_bit); + + /* Undo the right shift done above. If there is any remaining + * fraction, the result is inexact. Set the sticky bit. + */ + a.frac = (r_frac << 1) + (a_frac != 0); + + return a; +} + +float16 __attribute__((flatten)) float16_sqrt(float16 a, float_status *status) +{ + FloatParts pa = float16_unpack_canonical(a, status); + FloatParts pr = sqrt_float(pa, status, &float16_params); + return float16_round_pack_canonical(pr, status); +} + +float32 __attribute__((flatten)) float32_sqrt(float32 a, float_status *status) +{ + FloatParts pa = float32_unpack_canonical(a, status); + FloatParts pr = sqrt_float(pa, status, &float32_params); + return float32_round_pack_canonical(pr, status); +} + +float64 __attribute__((flatten)) float64_sqrt(float64 a, float_status *status) +{ + FloatParts pa = float64_unpack_canonical(a, status); + FloatParts pr = sqrt_float(pa, status, &float64_params); + return float64_round_pack_canonical(pr, status); +} + + +/*---------------------------------------------------------------------------- | Takes a 64-bit fixed-point value `absZ' with binary point between bits 6 | and 7, and returns the properly rounded 32-bit integer corresponding to the | input. If `zSign' is 1, the input is negated before being converted to an @@ -300,39 +2160,6 @@ static int64_t roundAndPackUint64(flag zSign, uint64_t absZ0, } /*---------------------------------------------------------------------------- -| 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 flag extractFloat32Sign( float32 a ) -{ - - return float32_val(a)>>31; - -} - -/*---------------------------------------------------------------------------- | If `a' is denormal and we are in flush-to-zero mode then set the | input-denormal exception and return zero. Otherwise just return the value. *----------------------------------------------------------------------------*/ @@ -493,39 +2320,6 @@ static float32 } /*---------------------------------------------------------------------------- -| Returns the fraction bits of the double-precision floating-point value `a'. -*----------------------------------------------------------------------------*/ - -static inline uint64_t extractFloat64Frac( float64 a ) -{ - - return float64_val(a) & LIT64( 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 flag extractFloat64Sign( float64 a ) -{ - - return float64_val(a)>>63; - -} - -/*---------------------------------------------------------------------------- | If `a' is denormal and we are in flush-to-zero mode then set the | input-denormal exception and return zero. Otherwise just return the value. *----------------------------------------------------------------------------*/ @@ -1289,43 +3083,6 @@ static float128 normalizeRoundAndPackFloat128(flag zSign, int32_t zExp, } -/*---------------------------------------------------------------------------- -| Returns the result of converting the 32-bit two's complement integer `a' -| to the single-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 int32_to_float32(int32_t a, float_status *status) -{ - flag zSign; - - if ( a == 0 ) return float32_zero; - if ( a == (int32_t) 0x80000000 ) return packFloat32( 1, 0x9E, 0 ); - zSign = ( a < 0 ); - return normalizeRoundAndPackFloat32(zSign, 0x9C, zSign ? -a : a, status); -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the 32-bit two's complement integer `a' -| to the double-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 int32_to_float64(int32_t a, float_status *status) -{ - flag zSign; - uint32_t absA; - int8_t shiftCount; - uint64_t zSig; - - if ( a == 0 ) return float64_zero; - zSign = ( a < 0 ); - absA = zSign ? - a : a; - shiftCount = countLeadingZeros32( absA ) + 21; - zSig = absA; - return packFloat64( zSign, 0x432 - shiftCount, zSig<<shiftCount ); - -} /*---------------------------------------------------------------------------- | Returns the result of converting the 32-bit two's complement integer `a' @@ -1374,56 +3131,6 @@ float128 int32_to_float128(int32_t a, float_status *status) /*---------------------------------------------------------------------------- | Returns the result of converting the 64-bit two's complement integer `a' -| to the single-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 int64_to_float32(int64_t a, float_status *status) -{ - flag zSign; - uint64_t absA; - int8_t shiftCount; - - if ( a == 0 ) return float32_zero; - zSign = ( a < 0 ); - absA = zSign ? - a : a; - shiftCount = countLeadingZeros64( absA ) - 40; - if ( 0 <= shiftCount ) { - return packFloat32( zSign, 0x95 - shiftCount, absA<<shiftCount ); - } - else { - shiftCount += 7; - if ( shiftCount < 0 ) { - shift64RightJamming( absA, - shiftCount, &absA ); - } - else { - absA <<= shiftCount; - } - return roundAndPackFloat32(zSign, 0x9C - shiftCount, absA, status); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the 64-bit two's complement integer `a' -| to the double-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 int64_to_float64(int64_t a, float_status *status) -{ - flag zSign; - - if ( a == 0 ) return float64_zero; - if ( a == (int64_t) LIT64( 0x8000000000000000 ) ) { - return packFloat64( 1, 0x43E, 0 ); - } - zSign = ( a < 0 ); - return normalizeRoundAndPackFloat64(zSign, 0x43C, zSign ? -a : a, status); -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the 64-bit two's complement integer `a' | to the extended double-precision floating-point format. The conversion | is performed according to the IEC/IEEE Standard for Binary Floating-Point | Arithmetic. @@ -1478,65 +3185,6 @@ float128 int64_to_float128(int64_t a, float_status *status) /*---------------------------------------------------------------------------- | Returns the result of converting the 64-bit unsigned integer `a' -| to the single-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 uint64_to_float32(uint64_t a, float_status *status) -{ - int shiftcount; - - if (a == 0) { - return float32_zero; - } - - /* Determine (left) shift needed to put first set bit into bit posn 23 - * (since packFloat32() expects the binary point between bits 23 and 22); - * this is the fast case for smallish numbers. - */ - shiftcount = countLeadingZeros64(a) - 40; - if (shiftcount >= 0) { - return packFloat32(0, 0x95 - shiftcount, a << shiftcount); - } - /* Otherwise we need to do a round-and-pack. roundAndPackFloat32() - * expects the binary point between bits 30 and 29, hence the + 7. - */ - shiftcount += 7; - if (shiftcount < 0) { - shift64RightJamming(a, -shiftcount, &a); - } else { - a <<= shiftcount; - } - - return roundAndPackFloat32(0, 0x9c - shiftcount, a, status); -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the 64-bit unsigned integer `a' -| to the double-precision floating-point format. The conversion is performed -| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 uint64_to_float64(uint64_t a, float_status *status) -{ - int exp = 0x43C; - int shiftcount; - - if (a == 0) { - return float64_zero; - } - - shiftcount = countLeadingZeros64(a) - 1; - if (shiftcount < 0) { - shift64RightJamming(a, -shiftcount, &a); - } else { - a <<= shiftcount; - } - return roundAndPackFloat64(0, exp - shiftcount, a, status); -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the 64-bit unsigned integer `a' | to the quadruple-precision floating-point format. The conversion is performed | according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic. *----------------------------------------------------------------------------*/ @@ -1549,288 +3197,8 @@ float128 uint64_to_float128(uint64_t a, float_status *status) return normalizeRoundAndPackFloat128(0, 0x406E, a, 0, status); } -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ -int32_t float32_to_int32(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - uint64_t aSig64; - a = float32_squash_input_denormal(a, status); - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( ( aExp == 0xFF ) && aSig ) aSign = 0; - if ( aExp ) aSig |= 0x00800000; - shiftCount = 0xAF - aExp; - aSig64 = aSig; - aSig64 <<= 32; - if ( 0 < shiftCount ) shift64RightJamming( aSig64, shiftCount, &aSig64 ); - return roundAndPackInt32(aSign, aSig64, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int32_t float32_to_int32_round_to_zero(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - int32_t z; - a = float32_squash_input_denormal(a, status); - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = aExp - 0x9E; - if ( 0 <= shiftCount ) { - if ( float32_val(a) != 0xCF000000 ) { - float_raise(float_flag_invalid, status); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) return 0x7FFFFFFF; - } - return (int32_t) 0x80000000; - } - else if ( aExp <= 0x7E ) { - if (aExp | aSig) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - aSig = ( aSig | 0x00800000 )<<8; - z = aSig>>( - shiftCount ); - if ( (uint32_t) ( aSig<<( shiftCount & 31 ) ) ) { - status->float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 16-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int16_t float32_to_int16_round_to_zero(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - int32_t z; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = aExp - 0x8E; - if ( 0 <= shiftCount ) { - if ( float32_val(a) != 0xC7000000 ) { - float_raise(float_flag_invalid, status); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) { - return 0x7FFF; - } - } - return (int32_t) 0xffff8000; - } - else if ( aExp <= 0x7E ) { - if ( aExp | aSig ) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - shiftCount -= 0x10; - aSig = ( aSig | 0x00800000 )<<8; - z = aSig>>( - shiftCount ); - if ( (uint32_t) ( aSig<<( shiftCount & 31 ) ) ) { - status->float_exception_flags |= float_flag_inexact; - } - if ( aSign ) { - z = - z; - } - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int64_t float32_to_int64(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - uint64_t aSig64, aSigExtra; - a = float32_squash_input_denormal(a, status); - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = 0xBE - aExp; - if ( shiftCount < 0 ) { - float_raise(float_flag_invalid, status); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - return (int64_t) LIT64( 0x8000000000000000 ); - } - if ( aExp ) aSig |= 0x00800000; - aSig64 = aSig; - aSig64 <<= 40; - shift64ExtraRightJamming( aSig64, 0, shiftCount, &aSig64, &aSigExtra ); - return roundAndPackInt64(aSign, aSig64, aSigExtra, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit unsigned integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| unsigned integer is returned. Otherwise, if the conversion overflows, the -| largest unsigned integer is returned. If the 'a' is negative, the result -| is rounded and zero is returned; values that do not round to zero will -| raise the inexact exception flag. -*----------------------------------------------------------------------------*/ - -uint64_t float32_to_uint64(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - uint64_t aSig64, aSigExtra; - a = float32_squash_input_denormal(a, status); - - aSig = extractFloat32Frac(a); - aExp = extractFloat32Exp(a); - aSign = extractFloat32Sign(a); - if ((aSign) && (aExp > 126)) { - float_raise(float_flag_invalid, status); - if (float32_is_any_nan(a)) { - return LIT64(0xFFFFFFFFFFFFFFFF); - } else { - return 0; - } - } - shiftCount = 0xBE - aExp; - if (aExp) { - aSig |= 0x00800000; - } - if (shiftCount < 0) { - float_raise(float_flag_invalid, status); - return LIT64(0xFFFFFFFFFFFFFFFF); - } - - aSig64 = aSig; - aSig64 <<= 40; - shift64ExtraRightJamming(aSig64, 0, shiftCount, &aSig64, &aSigExtra); - return roundAndPackUint64(aSign, aSig64, aSigExtra, status); -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit unsigned integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. If -| `a' is a NaN, the largest unsigned integer is returned. Otherwise, if the -| conversion overflows, the largest unsigned integer is returned. If the -| 'a' is negative, the result is rounded and zero is returned; values that do -| not round to zero will raise the inexact flag. -*----------------------------------------------------------------------------*/ - -uint64_t float32_to_uint64_round_to_zero(float32 a, float_status *status) -{ - signed char current_rounding_mode = status->float_rounding_mode; - set_float_rounding_mode(float_round_to_zero, status); - int64_t v = float32_to_uint64(a, status); - set_float_rounding_mode(current_rounding_mode, status); - return v; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. If -| `a' is a NaN, the largest positive integer is returned. Otherwise, if the -| conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int64_t float32_to_int64_round_to_zero(float32 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint32_t aSig; - uint64_t aSig64; - int64_t z; - a = float32_squash_input_denormal(a, status); - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - shiftCount = aExp - 0xBE; - if ( 0 <= shiftCount ) { - if ( float32_val(a) != 0xDF000000 ) { - float_raise(float_flag_invalid, status); - if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - } - return (int64_t) LIT64( 0x8000000000000000 ); - } - else if ( aExp <= 0x7E ) { - if (aExp | aSig) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - aSig64 = aSig | 0x00800000; - aSig64 <<= 40; - z = aSig64>>( - shiftCount ); - if ( (uint64_t) ( aSig64<<( shiftCount & 63 ) ) ) { - status->float_exception_flags |= float_flag_inexact; - } - if ( aSign ) z = - z; - return z; - -} /*---------------------------------------------------------------------------- | Returns the result of converting the single-precision floating-point value @@ -1929,436 +3297,6 @@ float128 float32_to_float128(float32 a, float_status *status) } /*---------------------------------------------------------------------------- -| Rounds the single-precision floating-point value `a' to an integer, and -| returns the result as a single-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_round_to_int(float32 a, float_status *status) -{ - flag aSign; - int aExp; - uint32_t lastBitMask, roundBitsMask; - uint32_t z; - a = float32_squash_input_denormal(a, status); - - aExp = extractFloat32Exp( a ); - if ( 0x96 <= aExp ) { - if ( ( aExp == 0xFF ) && extractFloat32Frac( a ) ) { - return propagateFloat32NaN(a, a, status); - } - return a; - } - if ( aExp <= 0x7E ) { - if ( (uint32_t) ( float32_val(a)<<1 ) == 0 ) return a; - status->float_exception_flags |= float_flag_inexact; - aSign = extractFloat32Sign( a ); - switch (status->float_rounding_mode) { - case float_round_nearest_even: - if ( ( aExp == 0x7E ) && extractFloat32Frac( a ) ) { - return packFloat32( aSign, 0x7F, 0 ); - } - break; - case float_round_ties_away: - if (aExp == 0x7E) { - return packFloat32(aSign, 0x7F, 0); - } - break; - case float_round_down: - return make_float32(aSign ? 0xBF800000 : 0); - case float_round_up: - return make_float32(aSign ? 0x80000000 : 0x3F800000); - } - return packFloat32( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x96 - aExp; - roundBitsMask = lastBitMask - 1; - z = float32_val(a); - switch (status->float_rounding_mode) { - case float_round_nearest_even: - z += lastBitMask>>1; - if ((z & roundBitsMask) == 0) { - z &= ~lastBitMask; - } - break; - case float_round_ties_away: - z += lastBitMask >> 1; - break; - case float_round_to_zero: - break; - case float_round_up: - if (!extractFloat32Sign(make_float32(z))) { - z += roundBitsMask; - } - break; - case float_round_down: - if (extractFloat32Sign(make_float32(z))) { - z += roundBitsMask; - } - break; - default: - abort(); - } - z &= ~ roundBitsMask; - if (z != float32_val(a)) { - status->float_exception_flags |= float_flag_inexact; - } - return make_float32(z); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the single-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float32 addFloat32Sigs(float32 a, float32 b, flag zSign, - float_status *status) -{ - int aExp, bExp, zExp; - uint32_t aSig, bSig, zSig; - int expDiff; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - expDiff = aExp - bExp; - aSig <<= 6; - bSig <<= 6; - if ( 0 < expDiff ) { - if ( aExp == 0xFF ) { - if (aSig) { - return propagateFloat32NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= 0x20000000; - } - shift32RightJamming( bSig, expDiff, &bSig ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= 0x20000000; - } - shift32RightJamming( aSig, - expDiff, &aSig ); - zExp = bExp; - } - else { - if ( aExp == 0xFF ) { - if (aSig | bSig) { - return propagateFloat32NaN(a, b, status); - } - return a; - } - if ( aExp == 0 ) { - if (status->flush_to_zero) { - if (aSig | bSig) { - float_raise(float_flag_output_denormal, status); - } - return packFloat32(zSign, 0, 0); - } - return packFloat32( zSign, 0, ( aSig + bSig )>>6 ); - } - zSig = 0x40000000 + aSig + bSig; - zExp = aExp; - goto roundAndPack; - } - aSig |= 0x20000000; - zSig = ( aSig + bSig )<<1; - --zExp; - if ( (int32_t) zSig < 0 ) { - zSig = aSig + bSig; - ++zExp; - } - roundAndPack: - return roundAndPackFloat32(zSign, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the single- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float32 subFloat32Sigs(float32 a, float32 b, flag zSign, - float_status *status) -{ - int aExp, bExp, zExp; - uint32_t aSig, bSig, zSig; - int expDiff; - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - bSig = extractFloat32Frac( b ); - bExp = extractFloat32Exp( b ); - expDiff = aExp - bExp; - aSig <<= 7; - bSig <<= 7; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0xFF ) { - if (aSig | bSig) { - return propagateFloat32NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloat32(status->float_rounding_mode == float_round_down, 0, 0); - bExpBigger: - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - return packFloat32( zSign ^ 1, 0xFF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= 0x40000000; - } - shift32RightJamming( aSig, - expDiff, &aSig ); - bSig |= 0x40000000; - bBigger: - zSig = bSig - aSig; - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0xFF ) { - if (aSig) { - return propagateFloat32NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= 0x40000000; - } - shift32RightJamming( bSig, expDiff, &bSig ); - aSig |= 0x40000000; - aBigger: - zSig = aSig - bSig; - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat32(zSign, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the single-precision floating-point values `a' -| and `b'. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_add(float32 a, float32 b, float_status *status) -{ - flag aSign, bSign; - a = float32_squash_input_denormal(a, status); - b = float32_squash_input_denormal(b, status); - - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign == bSign ) { - return addFloat32Sigs(a, b, aSign, status); - } - else { - return subFloat32Sigs(a, b, aSign, status); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the single-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_sub(float32 a, float32 b, float_status *status) -{ - flag aSign, bSign; - a = float32_squash_input_denormal(a, status); - b = float32_squash_input_denormal(b, status); - - aSign = extractFloat32Sign( a ); - bSign = extractFloat32Sign( b ); - if ( aSign == bSign ) { - return subFloat32Sigs(a, b, aSign, status); - } - else { - return addFloat32Sigs(a, b, aSign, status); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the single-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_mul(float32 a, float32 b, float_status *status) -{ - flag aSign, bSign, zSign; - int aExp, bExp, zExp; - uint32_t aSig, bSig; - uint64_t zSig64; - uint32_t zSig; - - 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 ); - bSign = extractFloat32Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0xFF ) { - if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) { - return propagateFloat32NaN(a, b, status); - } - if ( ( bExp | bSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - if ( ( aExp | aSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x7F; - aSig = ( aSig | 0x00800000 )<<7; - bSig = ( bSig | 0x00800000 )<<8; - shift64RightJamming( ( (uint64_t) aSig ) * bSig, 32, &zSig64 ); - zSig = zSig64; - if ( 0 <= (int32_t) ( zSig<<1 ) ) { - zSig <<= 1; - --zExp; - } - return roundAndPackFloat32(zSign, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the single-precision floating-point value `a' -| by the corresponding value `b'. The operation is performed according to the -| IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_div(float32 a, float32 b, float_status *status) -{ - flag aSign, bSign, zSign; - int aExp, bExp, zExp; - uint32_t aSig, bSig, zSig; - 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 ); - bSign = extractFloat32Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0xFF ) { - if (aSig) { - return propagateFloat32NaN(a, b, status); - } - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - return packFloat32( zSign, 0xFF, 0 ); - } - if ( bExp == 0xFF ) { - if (bSig) { - return propagateFloat32NaN(a, b, status); - } - return packFloat32( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - float_raise(float_flag_divbyzero, status); - return packFloat32( zSign, 0xFF, 0 ); - } - normalizeFloat32Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat32( zSign, 0, 0 ); - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x7D; - aSig = ( aSig | 0x00800000 )<<7; - bSig = ( bSig | 0x00800000 )<<8; - if ( bSig <= ( aSig + aSig ) ) { - aSig >>= 1; - ++zExp; - } - zSig = ( ( (uint64_t) aSig )<<32 ) / bSig; - if ( ( zSig & 0x3F ) == 0 ) { - zSig |= ( (uint64_t) bSig * zSig != ( (uint64_t) aSig )<<32 ); - } - return roundAndPackFloat32(zSign, zExp, zSig, 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. @@ -2460,290 +3398,9 @@ float32 float32_rem(float32 a, float32 b, float_status *status) return normalizeRoundAndPackFloat32(aSign ^ zSign, bExp, aSig, status); } -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the single-precision floating-point values -| `a' and `b' then adding 'c', with no intermediate rounding step after the -| multiplication. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic 754-2008. -| The flags argument allows the caller to select negation of the -| addend, the intermediate product, or the final result. (The difference -| between this and having the caller do a separate negation is that negating -| externally will flip the sign bit on NaNs.) -*----------------------------------------------------------------------------*/ - -float32 float32_muladd(float32 a, float32 b, float32 c, int flags, - float_status *status) -{ - flag aSign, bSign, cSign, zSign; - int aExp, bExp, cExp, pExp, zExp, expDiff; - uint32_t aSig, bSig, cSig; - flag pInf, pZero, pSign; - uint64_t pSig64, cSig64, zSig64; - uint32_t pSig; - int shiftcount; - flag signflip, infzero; - - a = float32_squash_input_denormal(a, status); - b = float32_squash_input_denormal(b, status); - c = float32_squash_input_denormal(c, status); - aSig = extractFloat32Frac(a); - aExp = extractFloat32Exp(a); - aSign = extractFloat32Sign(a); - bSig = extractFloat32Frac(b); - bExp = extractFloat32Exp(b); - bSign = extractFloat32Sign(b); - cSig = extractFloat32Frac(c); - cExp = extractFloat32Exp(c); - cSign = extractFloat32Sign(c); - - infzero = ((aExp == 0 && aSig == 0 && bExp == 0xff && bSig == 0) || - (aExp == 0xff && aSig == 0 && bExp == 0 && bSig == 0)); - - /* It is implementation-defined whether the cases of (0,inf,qnan) - * and (inf,0,qnan) raise InvalidOperation or not (and what QNaN - * they return if they do), so we have to hand this information - * off to the target-specific pick-a-NaN routine. - */ - if (((aExp == 0xff) && aSig) || - ((bExp == 0xff) && bSig) || - ((cExp == 0xff) && cSig)) { - return propagateFloat32MulAddNaN(a, b, c, infzero, status); - } - - if (infzero) { - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - - if (flags & float_muladd_negate_c) { - cSign ^= 1; - } - - signflip = (flags & float_muladd_negate_result) ? 1 : 0; - - /* Work out the sign and type of the product */ - pSign = aSign ^ bSign; - if (flags & float_muladd_negate_product) { - pSign ^= 1; - } - pInf = (aExp == 0xff) || (bExp == 0xff); - pZero = ((aExp | aSig) == 0) || ((bExp | bSig) == 0); - - if (cExp == 0xff) { - if (pInf && (pSign ^ cSign)) { - /* addition of opposite-signed infinities => InvalidOperation */ - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - /* Otherwise generate an infinity of the same sign */ - return packFloat32(cSign ^ signflip, 0xff, 0); - } - - if (pInf) { - return packFloat32(pSign ^ signflip, 0xff, 0); - } - - if (pZero) { - if (cExp == 0) { - if (cSig == 0) { - /* Adding two exact zeroes */ - if (pSign == cSign) { - zSign = pSign; - } else if (status->float_rounding_mode == float_round_down) { - zSign = 1; - } else { - zSign = 0; - } - return packFloat32(zSign ^ signflip, 0, 0); - } - /* Exact zero plus a denorm */ - if (status->flush_to_zero) { - float_raise(float_flag_output_denormal, status); - return packFloat32(cSign ^ signflip, 0, 0); - } - } - /* Zero plus something non-zero : just return the something */ - if (flags & float_muladd_halve_result) { - if (cExp == 0) { - normalizeFloat32Subnormal(cSig, &cExp, &cSig); - } - /* Subtract one to halve, and one again because roundAndPackFloat32 - * wants one less than the true exponent. - */ - cExp -= 2; - cSig = (cSig | 0x00800000) << 7; - return roundAndPackFloat32(cSign ^ signflip, cExp, cSig, status); - } - return packFloat32(cSign ^ signflip, cExp, cSig); - } - - if (aExp == 0) { - normalizeFloat32Subnormal(aSig, &aExp, &aSig); - } - if (bExp == 0) { - normalizeFloat32Subnormal(bSig, &bExp, &bSig); - } - - /* Calculate the actual result a * b + c */ - - /* Multiply first; this is easy. */ - /* NB: we subtract 0x7e where float32_mul() subtracts 0x7f - * because we want the true exponent, not the "one-less-than" - * flavour that roundAndPackFloat32() takes. - */ - pExp = aExp + bExp - 0x7e; - aSig = (aSig | 0x00800000) << 7; - bSig = (bSig | 0x00800000) << 8; - pSig64 = (uint64_t)aSig * bSig; - if ((int64_t)(pSig64 << 1) >= 0) { - pSig64 <<= 1; - pExp--; - } - - zSign = pSign ^ signflip; - - /* Now pSig64 is the significand of the multiply, with the explicit bit in - * position 62. - */ - if (cExp == 0) { - if (!cSig) { - /* Throw out the special case of c being an exact zero now */ - shift64RightJamming(pSig64, 32, &pSig64); - pSig = pSig64; - if (flags & float_muladd_halve_result) { - pExp--; - } - return roundAndPackFloat32(zSign, pExp - 1, - pSig, status); - } - normalizeFloat32Subnormal(cSig, &cExp, &cSig); - } - - cSig64 = (uint64_t)cSig << (62 - 23); - cSig64 |= LIT64(0x4000000000000000); - expDiff = pExp - cExp; - - if (pSign == cSign) { - /* Addition */ - if (expDiff > 0) { - /* scale c to match p */ - shift64RightJamming(cSig64, expDiff, &cSig64); - zExp = pExp; - } else if (expDiff < 0) { - /* scale p to match c */ - shift64RightJamming(pSig64, -expDiff, &pSig64); - zExp = cExp; - } else { - /* no scaling needed */ - zExp = cExp; - } - /* Add significands and make sure explicit bit ends up in posn 62 */ - zSig64 = pSig64 + cSig64; - if ((int64_t)zSig64 < 0) { - shift64RightJamming(zSig64, 1, &zSig64); - } else { - zExp--; - } - } else { - /* Subtraction */ - if (expDiff > 0) { - shift64RightJamming(cSig64, expDiff, &cSig64); - zSig64 = pSig64 - cSig64; - zExp = pExp; - } else if (expDiff < 0) { - shift64RightJamming(pSig64, -expDiff, &pSig64); - zSig64 = cSig64 - pSig64; - zExp = cExp; - zSign ^= 1; - } else { - zExp = pExp; - if (cSig64 < pSig64) { - zSig64 = pSig64 - cSig64; - } else if (pSig64 < cSig64) { - zSig64 = cSig64 - pSig64; - zSign ^= 1; - } else { - /* Exact zero */ - zSign = signflip; - if (status->float_rounding_mode == float_round_down) { - zSign ^= 1; - } - return packFloat32(zSign, 0, 0); - } - } - --zExp; - /* Normalize to put the explicit bit back into bit 62. */ - shiftcount = countLeadingZeros64(zSig64) - 1; - zSig64 <<= shiftcount; - zExp -= shiftcount; - } - if (flags & float_muladd_halve_result) { - zExp--; - } - - shift64RightJamming(zSig64, 32, &zSig64); - return roundAndPackFloat32(zSign, zExp, zSig64, status); -} /*---------------------------------------------------------------------------- -| Returns the square root of the single-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float32 float32_sqrt(float32 a, float_status *status) -{ - flag aSign; - int aExp, zExp; - uint32_t aSig, zSig; - uint64_t rem, term; - a = float32_squash_input_denormal(a, status); - - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - if ( aExp == 0xFF ) { - if (aSig) { - return propagateFloat32NaN(a, float32_zero, status); - } - if ( ! aSign ) return a; - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - if ( aSign ) { - if ( ( aExp | aSig ) == 0 ) return a; - float_raise(float_flag_invalid, status); - return float32_default_nan(status); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return float32_zero; - normalizeFloat32Subnormal( aSig, &aExp, &aSig ); - } - zExp = ( ( aExp - 0x7F )>>1 ) + 0x7E; - aSig = ( aSig | 0x00800000 )<<8; - zSig = estimateSqrt32( aExp, aSig ) + 2; - if ( ( zSig & 0x7F ) <= 5 ) { - if ( zSig < 2 ) { - zSig = 0x7FFFFFFF; - goto roundAndPack; - } - aSig >>= aExp & 1; - term = ( (uint64_t) zSig ) * zSig; - rem = ( ( (uint64_t) aSig )<<32 ) - term; - while ( (int64_t) rem < 0 ) { - --zSig; - rem += ( ( (uint64_t) zSig )<<1 ) | 1; - } - zSig |= ( rem != 0 ); - } - shift32RightJamming( zSig, 1, &zSig ); - roundAndPack: - return roundAndPackFloat32(0, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- | Returns the binary exponential of the single-precision floating-point value | `a'. The operation is performed according to the IEC/IEEE Standard for | Binary Floating-Point Arithmetic. @@ -3091,236 +3748,6 @@ int float32_unordered_quiet(float32 a, float32 b, float_status *status) return 0; } -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int32_t float64_to_int32(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( ( aExp == 0x7FF ) && aSig ) aSign = 0; - if ( aExp ) aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x42C - aExp; - if ( 0 < shiftCount ) shift64RightJamming( aSig, shiftCount, &aSig ); - return roundAndPackInt32(aSign, aSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 32-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int32_t float64_to_int32_round_to_zero(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig, savedASig; - int32_t z; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( 0x41E < aExp ) { - if ( ( aExp == 0x7FF ) && aSig ) aSign = 0; - goto invalid; - } - else if ( aExp < 0x3FF ) { - if (aExp || aSig) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x433 - aExp; - savedASig = aSig; - aSig >>= shiftCount; - z = aSig; - if ( aSign ) z = - z; - if ( ( z < 0 ) ^ aSign ) { - invalid: - float_raise(float_flag_invalid, status); - return aSign ? (int32_t) 0x80000000 : 0x7FFFFFFF; - } - if ( ( aSig<<shiftCount ) != savedASig ) { - status->float_exception_flags |= float_flag_inexact; - } - return z; - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 16-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int16_t float64_to_int16_round_to_zero(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig, savedASig; - int32_t z; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( 0x40E < aExp ) { - if ( ( aExp == 0x7FF ) && aSig ) { - aSign = 0; - } - goto invalid; - } - else if ( aExp < 0x3FF ) { - if ( aExp || aSig ) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x433 - aExp; - savedASig = aSig; - aSig >>= shiftCount; - z = aSig; - if ( aSign ) { - z = - z; - } - if ( ( (int16_t)z < 0 ) ^ aSign ) { - invalid: - float_raise(float_flag_invalid, status); - return aSign ? (int32_t) 0xffff8000 : 0x7FFF; - } - if ( ( aSig<<shiftCount ) != savedASig ) { - status->float_exception_flags |= float_flag_inexact; - } - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. Otherwise, if the conversion overflows, the -| largest integer with the same sign as `a' is returned. -*----------------------------------------------------------------------------*/ - -int64_t float64_to_int64(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig, aSigExtra; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp ) aSig |= LIT64( 0x0010000000000000 ); - shiftCount = 0x433 - aExp; - if ( shiftCount <= 0 ) { - if ( 0x43E < aExp ) { - float_raise(float_flag_invalid, status); - if ( ! aSign - || ( ( aExp == 0x7FF ) - && ( aSig != LIT64( 0x0010000000000000 ) ) ) - ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - return (int64_t) LIT64( 0x8000000000000000 ); - } - aSigExtra = 0; - aSig <<= - shiftCount; - } - else { - shift64ExtraRightJamming( aSig, 0, shiftCount, &aSig, &aSigExtra ); - } - return roundAndPackInt64(aSign, aSig, aSigExtra, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 64-bit two's complement integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic, except that the conversion is always rounded toward zero. -| If `a' is a NaN, the largest positive integer is returned. Otherwise, if -| the conversion overflows, the largest integer with the same sign as `a' is -| returned. -*----------------------------------------------------------------------------*/ - -int64_t float64_to_int64_round_to_zero(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig; - int64_t z; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp ) aSig |= LIT64( 0x0010000000000000 ); - shiftCount = aExp - 0x433; - if ( 0 <= shiftCount ) { - if ( 0x43E <= aExp ) { - if ( float64_val(a) != LIT64( 0xC3E0000000000000 ) ) { - float_raise(float_flag_invalid, status); - if ( ! aSign - || ( ( aExp == 0x7FF ) - && ( aSig != LIT64( 0x0010000000000000 ) ) ) - ) { - return LIT64( 0x7FFFFFFFFFFFFFFF ); - } - } - return (int64_t) LIT64( 0x8000000000000000 ); - } - z = aSig<<shiftCount; - } - else { - if ( aExp < 0x3FE ) { - if (aExp | aSig) { - status->float_exception_flags |= float_flag_inexact; - } - return 0; - } - z = aSig>>( - shiftCount ); - if ( (uint64_t) ( aSig<<( shiftCount & 63 ) ) ) { - status->float_exception_flags |= float_flag_inexact; - } - } - if ( aSign ) z = - z; - return z; - -} /*---------------------------------------------------------------------------- | Returns the result of converting the double-precision floating-point value @@ -3488,6 +3915,21 @@ static float16 roundAndPackFloat16(flag zSign, int zExp, return packFloat16(zSign, zExp, zSig >> 13); } +/*---------------------------------------------------------------------------- +| If `a' is denormal and we are in flush-to-zero mode then set the +| input-denormal exception and return zero. Otherwise just return the value. +*----------------------------------------------------------------------------*/ +float16 float16_squash_input_denormal(float16 a, float_status *status) +{ + if (status->flush_inputs_to_zero) { + if (extractFloat16Exp(a) == 0 && extractFloat16Frac(a) != 0) { + float_raise(float_flag_input_denormal, status); + return make_float16(float16_val(a) & 0x8000); + } + } + return a; +} + static void normalizeFloat16Subnormal(uint32_t aSig, int *zExpPtr, uint32_t *zSigPtr) { @@ -3711,453 +4153,6 @@ float128 float64_to_float128(float64 a, float_status *status) } -/*---------------------------------------------------------------------------- -| Rounds the double-precision floating-point value `a' to an integer, and -| returns the result as a double-precision floating-point value. The -| operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_round_to_int(float64 a, float_status *status) -{ - flag aSign; - int aExp; - uint64_t lastBitMask, roundBitsMask; - uint64_t z; - a = float64_squash_input_denormal(a, status); - - aExp = extractFloat64Exp( a ); - if ( 0x433 <= aExp ) { - if ( ( aExp == 0x7FF ) && extractFloat64Frac( a ) ) { - return propagateFloat64NaN(a, a, status); - } - return a; - } - if ( aExp < 0x3FF ) { - if ( (uint64_t) ( float64_val(a)<<1 ) == 0 ) return a; - status->float_exception_flags |= float_flag_inexact; - aSign = extractFloat64Sign( a ); - switch (status->float_rounding_mode) { - case float_round_nearest_even: - if ( ( aExp == 0x3FE ) && extractFloat64Frac( a ) ) { - return packFloat64( aSign, 0x3FF, 0 ); - } - break; - case float_round_ties_away: - if (aExp == 0x3FE) { - return packFloat64(aSign, 0x3ff, 0); - } - break; - case float_round_down: - return make_float64(aSign ? LIT64( 0xBFF0000000000000 ) : 0); - case float_round_up: - return make_float64( - aSign ? LIT64( 0x8000000000000000 ) : LIT64( 0x3FF0000000000000 )); - } - return packFloat64( aSign, 0, 0 ); - } - lastBitMask = 1; - lastBitMask <<= 0x433 - aExp; - roundBitsMask = lastBitMask - 1; - z = float64_val(a); - switch (status->float_rounding_mode) { - case float_round_nearest_even: - z += lastBitMask >> 1; - if ((z & roundBitsMask) == 0) { - z &= ~lastBitMask; - } - break; - case float_round_ties_away: - z += lastBitMask >> 1; - break; - case float_round_to_zero: - break; - case float_round_up: - if (!extractFloat64Sign(make_float64(z))) { - z += roundBitsMask; - } - break; - case float_round_down: - if (extractFloat64Sign(make_float64(z))) { - z += roundBitsMask; - } - break; - default: - abort(); - } - z &= ~ roundBitsMask; - if (z != float64_val(a)) { - status->float_exception_flags |= float_flag_inexact; - } - return make_float64(z); - -} - -float64 float64_trunc_to_int(float64 a, float_status *status) -{ - int oldmode; - float64 res; - oldmode = status->float_rounding_mode; - status->float_rounding_mode = float_round_to_zero; - res = float64_round_to_int(a, status); - status->float_rounding_mode = oldmode; - return res; -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the absolute values of the double-precision -| floating-point values `a' and `b'. If `zSign' is 1, the sum is negated -| before being returned. `zSign' is ignored if the result is a NaN. -| The addition is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float64 addFloat64Sigs(float64 a, float64 b, flag zSign, - float_status *status) -{ - int aExp, bExp, zExp; - uint64_t aSig, bSig, zSig; - int expDiff; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - expDiff = aExp - bExp; - aSig <<= 9; - bSig <<= 9; - if ( 0 < expDiff ) { - if ( aExp == 0x7FF ) { - if (aSig) { - return propagateFloat64NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= LIT64( 0x2000000000000000 ); - } - shift64RightJamming( bSig, expDiff, &bSig ); - zExp = aExp; - } - else if ( expDiff < 0 ) { - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= LIT64( 0x2000000000000000 ); - } - shift64RightJamming( aSig, - expDiff, &aSig ); - zExp = bExp; - } - else { - if ( aExp == 0x7FF ) { - if (aSig | bSig) { - return propagateFloat64NaN(a, b, status); - } - return a; - } - if ( aExp == 0 ) { - if (status->flush_to_zero) { - if (aSig | bSig) { - float_raise(float_flag_output_denormal, status); - } - return packFloat64(zSign, 0, 0); - } - return packFloat64( zSign, 0, ( aSig + bSig )>>9 ); - } - zSig = LIT64( 0x4000000000000000 ) + aSig + bSig; - zExp = aExp; - goto roundAndPack; - } - aSig |= LIT64( 0x2000000000000000 ); - zSig = ( aSig + bSig )<<1; - --zExp; - if ( (int64_t) zSig < 0 ) { - zSig = aSig + bSig; - ++zExp; - } - roundAndPack: - return roundAndPackFloat64(zSign, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the absolute values of the double- -| precision floating-point values `a' and `b'. If `zSign' is 1, the -| difference is negated before being returned. `zSign' is ignored if the -| result is a NaN. The subtraction is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -static float64 subFloat64Sigs(float64 a, float64 b, flag zSign, - float_status *status) -{ - int aExp, bExp, zExp; - uint64_t aSig, bSig, zSig; - int expDiff; - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - bSig = extractFloat64Frac( b ); - bExp = extractFloat64Exp( b ); - expDiff = aExp - bExp; - aSig <<= 10; - bSig <<= 10; - if ( 0 < expDiff ) goto aExpBigger; - if ( expDiff < 0 ) goto bExpBigger; - if ( aExp == 0x7FF ) { - if (aSig | bSig) { - return propagateFloat64NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - if ( aExp == 0 ) { - aExp = 1; - bExp = 1; - } - if ( bSig < aSig ) goto aBigger; - if ( aSig < bSig ) goto bBigger; - return packFloat64(status->float_rounding_mode == float_round_down, 0, 0); - bExpBigger: - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - return packFloat64( zSign ^ 1, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - ++expDiff; - } - else { - aSig |= LIT64( 0x4000000000000000 ); - } - shift64RightJamming( aSig, - expDiff, &aSig ); - bSig |= LIT64( 0x4000000000000000 ); - bBigger: - zSig = bSig - aSig; - zExp = bExp; - zSign ^= 1; - goto normalizeRoundAndPack; - aExpBigger: - if ( aExp == 0x7FF ) { - if (aSig) { - return propagateFloat64NaN(a, b, status); - } - return a; - } - if ( bExp == 0 ) { - --expDiff; - } - else { - bSig |= LIT64( 0x4000000000000000 ); - } - shift64RightJamming( bSig, expDiff, &bSig ); - aSig |= LIT64( 0x4000000000000000 ); - aBigger: - zSig = aSig - bSig; - zExp = aExp; - normalizeRoundAndPack: - --zExp; - return normalizeRoundAndPackFloat64(zSign, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of adding the double-precision floating-point values `a' -| and `b'. The operation is performed according to the IEC/IEEE Standard for -| Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_add(float64 a, float64 b, float_status *status) -{ - flag aSign, bSign; - a = float64_squash_input_denormal(a, status); - b = float64_squash_input_denormal(b, status); - - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign == bSign ) { - return addFloat64Sigs(a, b, aSign, status); - } - else { - return subFloat64Sigs(a, b, aSign, status); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of subtracting the double-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_sub(float64 a, float64 b, float_status *status) -{ - flag aSign, bSign; - a = float64_squash_input_denormal(a, status); - b = float64_squash_input_denormal(b, status); - - aSign = extractFloat64Sign( a ); - bSign = extractFloat64Sign( b ); - if ( aSign == bSign ) { - return subFloat64Sigs(a, b, aSign, status); - } - else { - return addFloat64Sigs(a, b, aSign, status); - } - -} - -/*---------------------------------------------------------------------------- -| Returns the result of multiplying the double-precision floating-point values -| `a' and `b'. The operation is performed according to the IEC/IEEE Standard -| for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_mul(float64 a, float64 b, float_status *status) -{ - flag aSign, bSign, zSign; - int aExp, bExp, zExp; - uint64_t aSig, bSig, zSig0, zSig1; - - 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 ); - bSign = extractFloat64Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FF ) { - if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) { - return propagateFloat64NaN(a, b, status); - } - if ( ( bExp | bSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - if ( ( aExp | aSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - zExp = aExp + bExp - 0x3FF; - aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10; - bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11; - mul64To128( aSig, bSig, &zSig0, &zSig1 ); - zSig0 |= ( zSig1 != 0 ); - if ( 0 <= (int64_t) ( zSig0<<1 ) ) { - zSig0 <<= 1; - --zExp; - } - return roundAndPackFloat64(zSign, zExp, zSig0, status); - -} - -/*---------------------------------------------------------------------------- -| Returns the result of dividing the double-precision floating-point value `a' -| by the corresponding value `b'. The operation is performed according to -| the IEC/IEEE Standard for Binary Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_div(float64 a, float64 b, float_status *status) -{ - flag aSign, bSign, zSign; - int aExp, bExp, zExp; - uint64_t aSig, bSig, zSig; - uint64_t rem0, rem1; - uint64_t term0, term1; - 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 ); - bSign = extractFloat64Sign( b ); - zSign = aSign ^ bSign; - if ( aExp == 0x7FF ) { - if (aSig) { - return propagateFloat64NaN(a, b, status); - } - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - return packFloat64( zSign, 0x7FF, 0 ); - } - if ( bExp == 0x7FF ) { - if (bSig) { - return propagateFloat64NaN(a, b, status); - } - return packFloat64( zSign, 0, 0 ); - } - if ( bExp == 0 ) { - if ( bSig == 0 ) { - if ( ( aExp | aSig ) == 0 ) { - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - float_raise(float_flag_divbyzero, status); - return packFloat64( zSign, 0x7FF, 0 ); - } - normalizeFloat64Subnormal( bSig, &bExp, &bSig ); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return packFloat64( zSign, 0, 0 ); - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - zExp = aExp - bExp + 0x3FD; - aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10; - bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11; - if ( bSig <= ( aSig + aSig ) ) { - aSig >>= 1; - ++zExp; - } - zSig = estimateDiv128To64( aSig, 0, bSig ); - if ( ( zSig & 0x1FF ) <= 2 ) { - mul64To128( bSig, zSig, &term0, &term1 ); - sub128( aSig, 0, term0, term1, &rem0, &rem1 ); - while ( (int64_t) rem0 < 0 ) { - --zSig; - add128( rem0, rem1, 0, bSig, &rem0, &rem1 ); - } - zSig |= ( rem1 != 0 ); - } - return roundAndPackFloat64(zSign, zExp, zSig, status); - -} /*---------------------------------------------------------------------------- | Returns the remainder of the double-precision floating-point value `a' @@ -4248,307 +4243,6 @@ float64 float64_rem(float64 a, float64 b, float_status *status) } /*---------------------------------------------------------------------------- -| Returns the result of multiplying the double-precision floating-point values -| `a' and `b' then adding 'c', with no intermediate rounding step after the -| multiplication. The operation is performed according to the IEC/IEEE -| Standard for Binary Floating-Point Arithmetic 754-2008. -| The flags argument allows the caller to select negation of the -| addend, the intermediate product, or the final result. (The difference -| between this and having the caller do a separate negation is that negating -| externally will flip the sign bit on NaNs.) -*----------------------------------------------------------------------------*/ - -float64 float64_muladd(float64 a, float64 b, float64 c, int flags, - float_status *status) -{ - flag aSign, bSign, cSign, zSign; - int aExp, bExp, cExp, pExp, zExp, expDiff; - uint64_t aSig, bSig, cSig; - flag pInf, pZero, pSign; - uint64_t pSig0, pSig1, cSig0, cSig1, zSig0, zSig1; - int shiftcount; - flag signflip, infzero; - - a = float64_squash_input_denormal(a, status); - b = float64_squash_input_denormal(b, status); - c = float64_squash_input_denormal(c, status); - aSig = extractFloat64Frac(a); - aExp = extractFloat64Exp(a); - aSign = extractFloat64Sign(a); - bSig = extractFloat64Frac(b); - bExp = extractFloat64Exp(b); - bSign = extractFloat64Sign(b); - cSig = extractFloat64Frac(c); - cExp = extractFloat64Exp(c); - cSign = extractFloat64Sign(c); - - infzero = ((aExp == 0 && aSig == 0 && bExp == 0x7ff && bSig == 0) || - (aExp == 0x7ff && aSig == 0 && bExp == 0 && bSig == 0)); - - /* It is implementation-defined whether the cases of (0,inf,qnan) - * and (inf,0,qnan) raise InvalidOperation or not (and what QNaN - * they return if they do), so we have to hand this information - * off to the target-specific pick-a-NaN routine. - */ - if (((aExp == 0x7ff) && aSig) || - ((bExp == 0x7ff) && bSig) || - ((cExp == 0x7ff) && cSig)) { - return propagateFloat64MulAddNaN(a, b, c, infzero, status); - } - - if (infzero) { - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - - if (flags & float_muladd_negate_c) { - cSign ^= 1; - } - - signflip = (flags & float_muladd_negate_result) ? 1 : 0; - - /* Work out the sign and type of the product */ - pSign = aSign ^ bSign; - if (flags & float_muladd_negate_product) { - pSign ^= 1; - } - pInf = (aExp == 0x7ff) || (bExp == 0x7ff); - pZero = ((aExp | aSig) == 0) || ((bExp | bSig) == 0); - - if (cExp == 0x7ff) { - if (pInf && (pSign ^ cSign)) { - /* addition of opposite-signed infinities => InvalidOperation */ - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - /* Otherwise generate an infinity of the same sign */ - return packFloat64(cSign ^ signflip, 0x7ff, 0); - } - - if (pInf) { - return packFloat64(pSign ^ signflip, 0x7ff, 0); - } - - if (pZero) { - if (cExp == 0) { - if (cSig == 0) { - /* Adding two exact zeroes */ - if (pSign == cSign) { - zSign = pSign; - } else if (status->float_rounding_mode == float_round_down) { - zSign = 1; - } else { - zSign = 0; - } - return packFloat64(zSign ^ signflip, 0, 0); - } - /* Exact zero plus a denorm */ - if (status->flush_to_zero) { - float_raise(float_flag_output_denormal, status); - return packFloat64(cSign ^ signflip, 0, 0); - } - } - /* Zero plus something non-zero : just return the something */ - if (flags & float_muladd_halve_result) { - if (cExp == 0) { - normalizeFloat64Subnormal(cSig, &cExp, &cSig); - } - /* Subtract one to halve, and one again because roundAndPackFloat64 - * wants one less than the true exponent. - */ - cExp -= 2; - cSig = (cSig | 0x0010000000000000ULL) << 10; - return roundAndPackFloat64(cSign ^ signflip, cExp, cSig, status); - } - return packFloat64(cSign ^ signflip, cExp, cSig); - } - - if (aExp == 0) { - normalizeFloat64Subnormal(aSig, &aExp, &aSig); - } - if (bExp == 0) { - normalizeFloat64Subnormal(bSig, &bExp, &bSig); - } - - /* Calculate the actual result a * b + c */ - - /* Multiply first; this is easy. */ - /* NB: we subtract 0x3fe where float64_mul() subtracts 0x3ff - * because we want the true exponent, not the "one-less-than" - * flavour that roundAndPackFloat64() takes. - */ - pExp = aExp + bExp - 0x3fe; - aSig = (aSig | LIT64(0x0010000000000000))<<10; - bSig = (bSig | LIT64(0x0010000000000000))<<11; - mul64To128(aSig, bSig, &pSig0, &pSig1); - if ((int64_t)(pSig0 << 1) >= 0) { - shortShift128Left(pSig0, pSig1, 1, &pSig0, &pSig1); - pExp--; - } - - zSign = pSign ^ signflip; - - /* Now [pSig0:pSig1] is the significand of the multiply, with the explicit - * bit in position 126. - */ - if (cExp == 0) { - if (!cSig) { - /* Throw out the special case of c being an exact zero now */ - shift128RightJamming(pSig0, pSig1, 64, &pSig0, &pSig1); - if (flags & float_muladd_halve_result) { - pExp--; - } - return roundAndPackFloat64(zSign, pExp - 1, - pSig1, status); - } - normalizeFloat64Subnormal(cSig, &cExp, &cSig); - } - - /* Shift cSig and add the explicit bit so [cSig0:cSig1] is the - * significand of the addend, with the explicit bit in position 126. - */ - cSig0 = cSig << (126 - 64 - 52); - cSig1 = 0; - cSig0 |= LIT64(0x4000000000000000); - expDiff = pExp - cExp; - - if (pSign == cSign) { - /* Addition */ - if (expDiff > 0) { - /* scale c to match p */ - shift128RightJamming(cSig0, cSig1, expDiff, &cSig0, &cSig1); - zExp = pExp; - } else if (expDiff < 0) { - /* scale p to match c */ - shift128RightJamming(pSig0, pSig1, -expDiff, &pSig0, &pSig1); - zExp = cExp; - } else { - /* no scaling needed */ - zExp = cExp; - } - /* Add significands and make sure explicit bit ends up in posn 126 */ - add128(pSig0, pSig1, cSig0, cSig1, &zSig0, &zSig1); - if ((int64_t)zSig0 < 0) { - shift128RightJamming(zSig0, zSig1, 1, &zSig0, &zSig1); - } else { - zExp--; - } - shift128RightJamming(zSig0, zSig1, 64, &zSig0, &zSig1); - if (flags & float_muladd_halve_result) { - zExp--; - } - return roundAndPackFloat64(zSign, zExp, zSig1, status); - } else { - /* Subtraction */ - if (expDiff > 0) { - shift128RightJamming(cSig0, cSig1, expDiff, &cSig0, &cSig1); - sub128(pSig0, pSig1, cSig0, cSig1, &zSig0, &zSig1); - zExp = pExp; - } else if (expDiff < 0) { - shift128RightJamming(pSig0, pSig1, -expDiff, &pSig0, &pSig1); - sub128(cSig0, cSig1, pSig0, pSig1, &zSig0, &zSig1); - zExp = cExp; - zSign ^= 1; - } else { - zExp = pExp; - if (lt128(cSig0, cSig1, pSig0, pSig1)) { - sub128(pSig0, pSig1, cSig0, cSig1, &zSig0, &zSig1); - } else if (lt128(pSig0, pSig1, cSig0, cSig1)) { - sub128(cSig0, cSig1, pSig0, pSig1, &zSig0, &zSig1); - zSign ^= 1; - } else { - /* Exact zero */ - zSign = signflip; - if (status->float_rounding_mode == float_round_down) { - zSign ^= 1; - } - return packFloat64(zSign, 0, 0); - } - } - --zExp; - /* Do the equivalent of normalizeRoundAndPackFloat64() but - * starting with the significand in a pair of uint64_t. - */ - if (zSig0) { - shiftcount = countLeadingZeros64(zSig0) - 1; - shortShift128Left(zSig0, zSig1, shiftcount, &zSig0, &zSig1); - if (zSig1) { - zSig0 |= 1; - } - zExp -= shiftcount; - } else { - shiftcount = countLeadingZeros64(zSig1); - if (shiftcount == 0) { - zSig0 = (zSig1 >> 1) | (zSig1 & 1); - zExp -= 63; - } else { - shiftcount--; - zSig0 = zSig1 << shiftcount; - zExp -= (shiftcount + 64); - } - } - if (flags & float_muladd_halve_result) { - zExp--; - } - return roundAndPackFloat64(zSign, zExp, zSig0, status); - } -} - -/*---------------------------------------------------------------------------- -| Returns the square root of the double-precision floating-point value `a'. -| The operation is performed according to the IEC/IEEE Standard for Binary -| Floating-Point Arithmetic. -*----------------------------------------------------------------------------*/ - -float64 float64_sqrt(float64 a, float_status *status) -{ - flag aSign; - int aExp, zExp; - uint64_t aSig, zSig, doubleZSig; - uint64_t rem0, rem1, term0, term1; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - if ( aExp == 0x7FF ) { - if (aSig) { - return propagateFloat64NaN(a, a, status); - } - if ( ! aSign ) return a; - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - if ( aSign ) { - if ( ( aExp | aSig ) == 0 ) return a; - float_raise(float_flag_invalid, status); - return float64_default_nan(status); - } - if ( aExp == 0 ) { - if ( aSig == 0 ) return float64_zero; - normalizeFloat64Subnormal( aSig, &aExp, &aSig ); - } - zExp = ( ( aExp - 0x3FF )>>1 ) + 0x3FE; - aSig |= LIT64( 0x0010000000000000 ); - zSig = estimateSqrt32( aExp, aSig>>21 ); - aSig <<= 9 - ( aExp & 1 ); - zSig = estimateDiv128To64( aSig, 0, zSig<<32 ) + ( zSig<<30 ); - if ( ( zSig & 0x1FF ) <= 5 ) { - doubleZSig = zSig<<1; - mul64To128( zSig, zSig, &term0, &term1 ); - sub128( aSig, 0, term0, term1, &rem0, &rem1 ); - while ( (int64_t) rem0 < 0 ) { - --zSig; - doubleZSig -= 2; - add128( rem0, rem1, zSig>>63, doubleZSig | 1, &rem0, &rem1 ); - } - zSig |= ( ( rem0 | rem1 ) != 0 ); - } - return roundAndPackFloat64(0, zExp, zSig, status); - -} - -/*---------------------------------------------------------------------------- | Returns the binary log of the double-precision floating-point value `a'. | The operation is performed according to the IEC/IEEE Standard for Binary | Floating-Point Arithmetic. @@ -7255,318 +6949,6 @@ int float128_unordered_quiet(float128 a, float128 b, float_status *status) return 0; } -/* misc functions */ -float32 uint32_to_float32(uint32_t a, float_status *status) -{ - return int64_to_float32(a, status); -} - -float64 uint32_to_float64(uint32_t a, float_status *status) -{ - return int64_to_float64(a, status); -} - -uint32_t float32_to_uint32(float32 a, float_status *status) -{ - int64_t v; - uint32_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float32_to_int64(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffffffff) { - res = 0xffffffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint32_t float32_to_uint32_round_to_zero(float32 a, float_status *status) -{ - int64_t v; - uint32_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float32_to_int64_round_to_zero(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffffffff) { - res = 0xffffffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -int16_t float32_to_int16(float32 a, float_status *status) -{ - int32_t v; - int16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float32_to_int32(a, status); - if (v < -0x8000) { - res = -0x8000; - } else if (v > 0x7fff) { - res = 0x7fff; - } else { - return v; - } - - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint16_t float32_to_uint16(float32 a, float_status *status) -{ - int32_t v; - uint16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float32_to_int32(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffff) { - res = 0xffff; - } else { - return v; - } - - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint16_t float32_to_uint16_round_to_zero(float32 a, float_status *status) -{ - int64_t v; - uint16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float32_to_int64_round_to_zero(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffff) { - res = 0xffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint32_t float64_to_uint32(float64 a, float_status *status) -{ - uint64_t v; - uint32_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float64_to_uint64(a, status); - if (v > 0xffffffff) { - res = 0xffffffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint32_t float64_to_uint32_round_to_zero(float64 a, float_status *status) -{ - uint64_t v; - uint32_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float64_to_uint64_round_to_zero(a, status); - if (v > 0xffffffff) { - res = 0xffffffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -int16_t float64_to_int16(float64 a, float_status *status) -{ - int64_t v; - int16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float64_to_int32(a, status); - if (v < -0x8000) { - res = -0x8000; - } else if (v > 0x7fff) { - res = 0x7fff; - } else { - return v; - } - - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint16_t float64_to_uint16(float64 a, float_status *status) -{ - int64_t v; - uint16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float64_to_int32(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffff) { - res = 0xffff; - } else { - return v; - } - - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -uint16_t float64_to_uint16_round_to_zero(float64 a, float_status *status) -{ - int64_t v; - uint16_t res; - int old_exc_flags = get_float_exception_flags(status); - - v = float64_to_int64_round_to_zero(a, status); - if (v < 0) { - res = 0; - } else if (v > 0xffff) { - res = 0xffff; - } else { - return v; - } - set_float_exception_flags(old_exc_flags, status); - float_raise(float_flag_invalid, status); - return res; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point value -| `a' to the 64-bit unsigned integer format. The conversion is -| performed according to the IEC/IEEE Standard for Binary Floating-Point -| Arithmetic---which means in particular that the conversion is rounded -| according to the current rounding mode. If `a' is a NaN, the largest -| positive integer is returned. If the conversion overflows, the -| largest unsigned integer is returned. If 'a' is negative, the value is -| rounded and zero is returned; negative values that do not round to zero -| will raise the inexact exception. -*----------------------------------------------------------------------------*/ - -uint64_t float64_to_uint64(float64 a, float_status *status) -{ - flag aSign; - int aExp; - int shiftCount; - uint64_t aSig, aSigExtra; - a = float64_squash_input_denormal(a, status); - - aSig = extractFloat64Frac(a); - aExp = extractFloat64Exp(a); - aSign = extractFloat64Sign(a); - if (aSign && (aExp > 1022)) { - float_raise(float_flag_invalid, status); - if (float64_is_any_nan(a)) { - return LIT64(0xFFFFFFFFFFFFFFFF); - } else { - return 0; - } - } - if (aExp) { - aSig |= LIT64(0x0010000000000000); - } - shiftCount = 0x433 - aExp; - if (shiftCount <= 0) { - if (0x43E < aExp) { - float_raise(float_flag_invalid, status); - return LIT64(0xFFFFFFFFFFFFFFFF); - } - aSigExtra = 0; - aSig <<= -shiftCount; - } else { - shift64ExtraRightJamming(aSig, 0, shiftCount, &aSig, &aSigExtra); - } - return roundAndPackUint64(aSign, aSig, aSigExtra, status); -} - -uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *status) -{ - signed char current_rounding_mode = status->float_rounding_mode; - set_float_rounding_mode(float_round_to_zero, status); - uint64_t v = float64_to_uint64(a, status); - set_float_rounding_mode(current_rounding_mode, status); - return v; -} - -#define COMPARE(s, nan_exp) \ -static inline int float ## s ## _compare_internal(float ## s a, float ## s b,\ - int is_quiet, float_status *status) \ -{ \ - flag aSign, bSign; \ - uint ## s ## _t av, bv; \ - a = float ## s ## _squash_input_denormal(a, status); \ - b = float ## s ## _squash_input_denormal(b, status); \ - \ - if (( ( extractFloat ## s ## Exp( a ) == nan_exp ) && \ - extractFloat ## s ## Frac( a ) ) || \ - ( ( extractFloat ## s ## Exp( b ) == nan_exp ) && \ - extractFloat ## s ## Frac( b ) )) { \ - if (!is_quiet || \ - float ## s ## _is_signaling_nan(a, status) || \ - float ## s ## _is_signaling_nan(b, status)) { \ - float_raise(float_flag_invalid, status); \ - } \ - return float_relation_unordered; \ - } \ - aSign = extractFloat ## s ## Sign( a ); \ - bSign = extractFloat ## s ## Sign( b ); \ - av = float ## s ## _val(a); \ - bv = float ## s ## _val(b); \ - if ( aSign != bSign ) { \ - if ( (uint ## s ## _t) ( ( av | bv )<<1 ) == 0 ) { \ - /* zero case */ \ - return float_relation_equal; \ - } else { \ - return 1 - (2 * aSign); \ - } \ - } else { \ - if (av == bv) { \ - return float_relation_equal; \ - } else { \ - return 1 - 2 * (aSign ^ ( av < bv )); \ - } \ - } \ -} \ - \ -int float ## s ## _compare(float ## s a, float ## s b, float_status *status) \ -{ \ - return float ## s ## _compare_internal(a, b, 0, status); \ -} \ - \ -int float ## s ## _compare_quiet(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _compare_internal(a, b, 1, status); \ -} - -COMPARE(32, 0xff) -COMPARE(64, 0x7ff) - static inline int floatx80_compare_internal(floatx80 a, floatx80 b, int is_quiet, float_status *status) { @@ -7661,186 +7043,6 @@ int float128_compare_quiet(float128 a, float128 b, float_status *status) return float128_compare_internal(a, b, 1, status); } -/* min() and max() functions. These can't be implemented as - * 'compare and pick one input' because that would mishandle - * NaNs and +0 vs -0. - * - * minnum() and maxnum() functions. These are similar to the min() - * and max() functions but if one of the arguments is a QNaN and - * the other is numerical then the numerical argument is returned. - * minnum() and maxnum correspond to the IEEE 754-2008 minNum() - * and maxNum() operations. min() and max() are the typical min/max - * semantics provided by many CPUs which predate that specification. - * - * minnummag() and maxnummag() functions correspond to minNumMag() - * and minNumMag() from the IEEE-754 2008. - */ -#define MINMAX(s) \ -static inline float ## s float ## s ## _minmax(float ## s a, float ## s b, \ - int ismin, int isieee, \ - int ismag, \ - float_status *status) \ -{ \ - flag aSign, bSign; \ - uint ## s ## _t av, bv, aav, abv; \ - a = float ## s ## _squash_input_denormal(a, status); \ - b = float ## s ## _squash_input_denormal(b, status); \ - if (float ## s ## _is_any_nan(a) || \ - float ## s ## _is_any_nan(b)) { \ - if (isieee) { \ - if (float ## s ## _is_quiet_nan(a, status) && \ - !float ## s ##_is_any_nan(b)) { \ - return b; \ - } else if (float ## s ## _is_quiet_nan(b, status) && \ - !float ## s ## _is_any_nan(a)) { \ - return a; \ - } \ - } \ - return propagateFloat ## s ## NaN(a, b, status); \ - } \ - aSign = extractFloat ## s ## Sign(a); \ - bSign = extractFloat ## s ## Sign(b); \ - av = float ## s ## _val(a); \ - bv = float ## s ## _val(b); \ - if (ismag) { \ - aav = float ## s ## _abs(av); \ - abv = float ## s ## _abs(bv); \ - if (aav != abv) { \ - if (ismin) { \ - return (aav < abv) ? a : b; \ - } else { \ - return (aav < abv) ? b : a; \ - } \ - } \ - } \ - if (aSign != bSign) { \ - if (ismin) { \ - return aSign ? a : b; \ - } else { \ - return aSign ? b : a; \ - } \ - } else { \ - if (ismin) { \ - return (aSign ^ (av < bv)) ? a : b; \ - } else { \ - return (aSign ^ (av < bv)) ? b : a; \ - } \ - } \ -} \ - \ -float ## s float ## s ## _min(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 1, 0, 0, status); \ -} \ - \ -float ## s float ## s ## _max(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 0, 0, 0, status); \ -} \ - \ -float ## s float ## s ## _minnum(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 1, 1, 0, status); \ -} \ - \ -float ## s float ## s ## _maxnum(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 0, 1, 0, status); \ -} \ - \ -float ## s float ## s ## _minnummag(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 1, 1, 1, status); \ -} \ - \ -float ## s float ## s ## _maxnummag(float ## s a, float ## s b, \ - float_status *status) \ -{ \ - return float ## s ## _minmax(a, b, 0, 1, 1, status); \ -} - -MINMAX(32) -MINMAX(64) - - -/* Multiply A by 2 raised to the power N. */ -float32 float32_scalbn(float32 a, int n, float_status *status) -{ - flag aSign; - int16_t aExp; - uint32_t aSig; - - a = float32_squash_input_denormal(a, status); - aSig = extractFloat32Frac( a ); - aExp = extractFloat32Exp( a ); - aSign = extractFloat32Sign( a ); - - if ( aExp == 0xFF ) { - if ( aSig ) { - return propagateFloat32NaN(a, a, status); - } - return a; - } - if (aExp != 0) { - aSig |= 0x00800000; - } else if (aSig == 0) { - return a; - } else { - aExp++; - } - - if (n > 0x200) { - n = 0x200; - } else if (n < -0x200) { - n = -0x200; - } - - aExp += n - 1; - aSig <<= 7; - return normalizeRoundAndPackFloat32(aSign, aExp, aSig, status); -} - -float64 float64_scalbn(float64 a, int n, float_status *status) -{ - flag aSign; - int16_t aExp; - uint64_t aSig; - - a = float64_squash_input_denormal(a, status); - aSig = extractFloat64Frac( a ); - aExp = extractFloat64Exp( a ); - aSign = extractFloat64Sign( a ); - - if ( aExp == 0x7FF ) { - if ( aSig ) { - return propagateFloat64NaN(a, a, status); - } - return a; - } - if (aExp != 0) { - aSig |= LIT64( 0x0010000000000000 ); - } else if (aSig == 0) { - return a; - } else { - aExp++; - } - - if (n > 0x1000) { - n = 0x1000; - } else if (n < -0x1000) { - n = -0x1000; - } - - aExp += n - 1; - aSig <<= 10; - return normalizeRoundAndPackFloat64(aSign, aExp, aSig, status); -} - floatx80 floatx80_scalbn(floatx80 a, int n, float_status *status) { flag aSign; diff --git a/include/fpu/softfloat-types.h b/include/fpu/softfloat-types.h new file mode 100644 index 0000000000..4e378cb612 --- /dev/null +++ b/include/fpu/softfloat-types.h @@ -0,0 +1,179 @@ +/* + * QEMU float support + * + * The code in this source file is derived from release 2a of the SoftFloat + * IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and + * some later contributions) are provided under that license, as detailed below. + * It has subsequently been modified by contributors to the QEMU Project, + * so some portions are provided under: + * the SoftFloat-2a license + * the BSD license + * GPL-v2-or-later + * + * This header holds definitions for code that might be dealing with + * softfloat types but not need access to the actual library functions. + */ +/* +=============================================================================== +This C header file is part of the SoftFloat IEC/IEEE Floating-point +Arithmetic Package, Release 2a. + +Written by John R. Hauser. This work was made possible in part by the +International Computer Science Institute, located at Suite 600, 1947 Center +Street, Berkeley, California 94704. Funding was partially provided by the +National Science Foundation under grant MIP-9311980. The original version +of this code was written as part of a project to build a fixed-point vector +processor in collaboration with the University of California at Berkeley, +overseen by Profs. Nelson Morgan and John Wawrzynek. More information +is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ +arithmetic/SoftFloat.html'. + +THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort +has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT +TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO +PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY +AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. + +Derivative works are acceptable, even for commercial purposes, so long as +(1) they include prominent notice that the work is derivative, and (2) they +include prominent notice akin to these four paragraphs for those parts of +this code that are retained. + +=============================================================================== +*/ + +/* BSD licensing: + * Copyright (c) 2006, Fabrice Bellard + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions are met: + * + * 1. Redistributions of source code must retain the above copyright notice, + * this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright notice, + * this list of conditions and the following disclaimer in the documentation + * and/or other materials provided with the distribution. + * + * 3. Neither the name of the copyright holder nor the names of its contributors + * may be used to endorse or promote products derived from this software without + * specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" + * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE + * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR + * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF + * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN + * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF + * THE POSSIBILITY OF SUCH DAMAGE. + */ + +/* Portions of this work are licensed under the terms of the GNU GPL, + * version 2 or later. See the COPYING file in the top-level directory. + */ + +#ifndef SOFTFLOAT_TYPES_H +#define SOFTFLOAT_TYPES_H + +/* This 'flag' type must be able to hold at least 0 and 1. It should + * probably be replaced with 'bool' but the uses would need to be audited + * to check that they weren't accidentally relying on it being a larger type. + */ +typedef uint8_t flag; + +/* + * Software IEC/IEEE floating-point types. + */ + +typedef uint16_t float16; +typedef uint32_t float32; +typedef uint64_t float64; +#define float16_val(x) (x) +#define float32_val(x) (x) +#define float64_val(x) (x) +#define make_float16(x) (x) +#define make_float32(x) (x) +#define make_float64(x) (x) +#define const_float16(x) (x) +#define const_float32(x) (x) +#define const_float64(x) (x) +typedef struct { + uint64_t low; + uint16_t high; +} floatx80; +#define make_floatx80(exp, mant) ((floatx80) { mant, exp }) +#define make_floatx80_init(exp, mant) { .low = mant, .high = exp } +typedef struct { +#ifdef HOST_WORDS_BIGENDIAN + uint64_t high, low; +#else + uint64_t low, high; +#endif +} float128; +#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ }) +#define make_float128_init(high_, low_) { .high = high_, .low = low_ } + +/* + * Software IEC/IEEE floating-point underflow tininess-detection mode. + */ + +enum { + float_tininess_after_rounding = 0, + float_tininess_before_rounding = 1 +}; + +/* + *Software IEC/IEEE floating-point rounding mode. + */ + +enum { + float_round_nearest_even = 0, + float_round_down = 1, + float_round_up = 2, + float_round_to_zero = 3, + float_round_ties_away = 4, + /* Not an IEEE rounding mode: round to the closest odd mantissa value */ + float_round_to_odd = 5, +}; + +/* + * Software IEC/IEEE floating-point exception flags. + */ + +enum { + float_flag_invalid = 1, + float_flag_divbyzero = 4, + float_flag_overflow = 8, + float_flag_underflow = 16, + float_flag_inexact = 32, + float_flag_input_denormal = 64, + float_flag_output_denormal = 128 +}; + + +/* + * Floating Point Status. Individual architectures may maintain + * several versions of float_status for different functions. The + * correct status for the operation is then passed by reference to + * most of the softfloat functions. + */ + +typedef struct float_status { + signed char float_detect_tininess; + signed char float_rounding_mode; + uint8_t float_exception_flags; + signed char floatx80_rounding_precision; + /* should denormalised results go to zero and set the inexact flag? */ + flag flush_to_zero; + /* should denormalised inputs go to zero and set the input_denormal flag? */ + flag flush_inputs_to_zero; + flag default_nan_mode; + flag snan_bit_is_one; +} float_status; + +#endif /* SOFTFLOAT_TYPES_H */ diff --git a/include/fpu/softfloat.h b/include/fpu/softfloat.h index 0f96a0edd1..9b7b5e34e2 100644 --- a/include/fpu/softfloat.h +++ b/include/fpu/softfloat.h @@ -82,12 +82,6 @@ this code that are retained. #ifndef SOFTFLOAT_H #define SOFTFLOAT_H -/* This 'flag' type must be able to hold at least 0 and 1. It should - * probably be replaced with 'bool' but the uses would need to be audited - * to check that they weren't accidentally relying on it being a larger type. - */ -typedef uint8_t flag; - #define LIT64( a ) a##LL /*---------------------------------------------------------------------------- @@ -100,110 +94,7 @@ enum { float_relation_unordered = 2 }; -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point types. -*----------------------------------------------------------------------------*/ -/* Use structures for soft-float types. This prevents accidentally mixing - them with native int/float types. A sufficiently clever compiler and - sane ABI should be able to see though these structs. However - x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */ -//#define USE_SOFTFLOAT_STRUCT_TYPES -#ifdef USE_SOFTFLOAT_STRUCT_TYPES -typedef struct { - uint16_t v; -} float16; -#define float16_val(x) (((float16)(x)).v) -#define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; }) -#define const_float16(x) { x } -typedef struct { - uint32_t v; -} float32; -/* The cast ensures an error if the wrong type is passed. */ -#define float32_val(x) (((float32)(x)).v) -#define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; }) -#define const_float32(x) { x } -typedef struct { - uint64_t v; -} float64; -#define float64_val(x) (((float64)(x)).v) -#define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; }) -#define const_float64(x) { x } -#else -typedef uint16_t float16; -typedef uint32_t float32; -typedef uint64_t float64; -#define float16_val(x) (x) -#define float32_val(x) (x) -#define float64_val(x) (x) -#define make_float16(x) (x) -#define make_float32(x) (x) -#define make_float64(x) (x) -#define const_float16(x) (x) -#define const_float32(x) (x) -#define const_float64(x) (x) -#endif -typedef struct { - uint64_t low; - uint16_t high; -} floatx80; -#define make_floatx80(exp, mant) ((floatx80) { mant, exp }) -#define make_floatx80_init(exp, mant) { .low = mant, .high = exp } -typedef struct { -#ifdef HOST_WORDS_BIGENDIAN - uint64_t high, low; -#else - uint64_t low, high; -#endif -} float128; -#define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ }) -#define make_float128_init(high_, low_) { .high = high_, .low = low_ } - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point underflow tininess-detection mode. -*----------------------------------------------------------------------------*/ -enum { - float_tininess_after_rounding = 0, - float_tininess_before_rounding = 1 -}; - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point rounding mode. -*----------------------------------------------------------------------------*/ -enum { - float_round_nearest_even = 0, - float_round_down = 1, - float_round_up = 2, - float_round_to_zero = 3, - float_round_ties_away = 4, - /* Not an IEEE rounding mode: round to the closest odd mantissa value */ - float_round_to_odd = 5, -}; - -/*---------------------------------------------------------------------------- -| Software IEC/IEEE floating-point exception flags. -*----------------------------------------------------------------------------*/ -enum { - float_flag_invalid = 1, - float_flag_divbyzero = 4, - float_flag_overflow = 8, - float_flag_underflow = 16, - float_flag_inexact = 32, - float_flag_input_denormal = 64, - float_flag_output_denormal = 128 -}; - -typedef struct float_status { - signed char float_detect_tininess; - signed char float_rounding_mode; - uint8_t float_exception_flags; - signed char floatx80_rounding_precision; - /* should denormalised results go to zero and set the inexact flag? */ - flag flush_to_zero; - /* should denormalised inputs go to zero and set the input_denormal flag? */ - flag flush_inputs_to_zero; - flag default_nan_mode; - flag snan_bit_is_one; -} float_status; +#include "fpu/softfloat-types.h" static inline void set_float_detect_tininess(int val, float_status *status) { @@ -277,6 +168,7 @@ void float_raise(uint8_t flags, float_status *status); | If `a' is denormal and we are in flush-to-zero mode then set the | input-denormal exception and return zero. Otherwise just return the value. *----------------------------------------------------------------------------*/ +float16 float16_squash_input_denormal(float16 a, float_status *status); float32 float32_squash_input_denormal(float32 a, float_status *status); float64 float64_squash_input_denormal(float64 a, float_status *status); @@ -298,9 +190,13 @@ enum { /*---------------------------------------------------------------------------- | Software IEC/IEEE integer-to-floating-point conversion routines. *----------------------------------------------------------------------------*/ +float32 int16_to_float32(int16_t, float_status *status); float32 int32_to_float32(int32_t, float_status *status); +float64 int16_to_float64(int16_t, float_status *status); float64 int32_to_float64(int32_t, float_status *status); +float32 uint16_to_float32(uint16_t, float_status *status); float32 uint32_to_float32(uint32_t, float_status *status); +float64 uint16_to_float64(uint16_t, float_status *status); float64 uint32_to_float64(uint32_t, float_status *status); floatx80 int32_to_floatx80(int32_t, float_status *status); float128 int32_to_float128(int32_t, float_status *status); @@ -312,27 +208,6 @@ float32 uint64_to_float32(uint64_t, float_status *status); float64 uint64_to_float64(uint64_t, float_status *status); float128 uint64_to_float128(uint64_t, float_status *status); -/* We provide the int16 versions for symmetry of API with float-to-int */ -static inline float32 int16_to_float32(int16_t v, float_status *status) -{ - return int32_to_float32(v, status); -} - -static inline float32 uint16_to_float32(uint16_t v, float_status *status) -{ - return uint32_to_float32(v, status); -} - -static inline float64 int16_to_float64(int16_t v, float_status *status) -{ - return int32_to_float64(v, status); -} - -static inline float64 uint16_to_float64(uint16_t v, float_status *status) -{ - return uint32_to_float64(v, status); -} - /*---------------------------------------------------------------------------- | Software half-precision conversion routines. *----------------------------------------------------------------------------*/ @@ -340,10 +215,46 @@ float16 float32_to_float16(float32, flag, float_status *status); float32 float16_to_float32(float16, flag, float_status *status); float16 float64_to_float16(float64 a, flag ieee, float_status *status); float64 float16_to_float64(float16 a, flag ieee, float_status *status); +int16_t float16_to_int16(float16, float_status *status); +uint16_t float16_to_uint16(float16 a, float_status *status); +int16_t float16_to_int16_round_to_zero(float16, float_status *status); +uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *status); +int32_t float16_to_int32(float16, float_status *status); +uint32_t float16_to_uint32(float16 a, float_status *status); +int32_t float16_to_int32_round_to_zero(float16, float_status *status); +uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *status); +int64_t float16_to_int64(float16, float_status *status); +uint64_t float16_to_uint64(float16 a, float_status *status); +int64_t float16_to_int64_round_to_zero(float16, float_status *status); +uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *status); +float16 int16_to_float16(int16_t a, float_status *status); +float16 int32_to_float16(int32_t a, float_status *status); +float16 int64_to_float16(int64_t a, float_status *status); +float16 uint16_to_float16(uint16_t a, float_status *status); +float16 uint32_to_float16(uint32_t a, float_status *status); +float16 uint64_to_float16(uint64_t a, float_status *status); /*---------------------------------------------------------------------------- | Software half-precision operations. *----------------------------------------------------------------------------*/ + +float16 float16_round_to_int(float16, float_status *status); +float16 float16_add(float16, float16, float_status *status); +float16 float16_sub(float16, float16, float_status *status); +float16 float16_mul(float16, float16, float_status *status); +float16 float16_muladd(float16, float16, float16, int, float_status *status); +float16 float16_div(float16, float16, float_status *status); +float16 float16_scalbn(float16, int, float_status *status); +float16 float16_min(float16, float16, float_status *status); +float16 float16_max(float16, float16, float_status *status); +float16 float16_minnum(float16, float16, float_status *status); +float16 float16_maxnum(float16, float16, float_status *status); +float16 float16_minnummag(float16, float16, float_status *status); +float16 float16_maxnummag(float16, float16, float_status *status); +float16 float16_sqrt(float16, float_status *status); +int float16_compare(float16, float16, float_status *status); +int float16_compare_quiet(float16, float16, float_status *status); + int float16_is_quiet_nan(float16, float_status *status); int float16_is_signaling_nan(float16, float_status *status); float16 float16_maybe_silence_nan(float16, float_status *status); @@ -373,6 +284,32 @@ static inline int float16_is_zero_or_denormal(float16 a) return (float16_val(a) & 0x7c00) == 0; } +static inline float16 float16_abs(float16 a) +{ + /* Note that abs does *not* handle NaN specially, nor does + * it flush denormal inputs to zero. + */ + return make_float16(float16_val(a) & 0x7fff); +} + +static inline float16 float16_chs(float16 a) +{ + /* Note that chs does *not* handle NaN specially, nor does + * it flush denormal inputs to zero. + */ + return make_float16(float16_val(a) ^ 0x8000); +} + +static inline float16 float16_set_sign(float16 a, int sign) +{ + return make_float16((float16_val(a) & 0x7fff) | (sign << 15)); +} + +#define float16_zero make_float16(0) +#define float16_one make_float16(0x3c00) +#define float16_half make_float16(0x3800) +#define float16_infinity make_float16(0x7c00) + /*---------------------------------------------------------------------------- | The pattern for a default generated half-precision NaN. *----------------------------------------------------------------------------*/ @@ -479,8 +416,6 @@ static inline float32 float32_set_sign(float32 a, int sign) #define float32_zero make_float32(0) #define float32_one make_float32(0x3f800000) -#define float32_ln2 make_float32(0x3f317218) -#define float32_pi make_float32(0x40490fdb) #define float32_half make_float32(0x3f000000) #define float32_infinity make_float32(0x7f800000) @@ -593,7 +528,6 @@ static inline float64 float64_set_sign(float64 a, int sign) #define float64_zero make_float64(0) #define float64_one make_float64(0x3ff0000000000000LL) #define float64_ln2 make_float64(0x3fe62e42fefa39efLL) -#define float64_pi make_float64(0x400921fb54442d18LL) #define float64_half make_float64(0x3fe0000000000000LL) #define float64_infinity make_float64(0x7ff0000000000000LL) diff --git a/include/qemu/bswap.h b/include/qemu/bswap.h index 09c78fd28a..3f28f661b1 100644 --- a/include/qemu/bswap.h +++ b/include/qemu/bswap.h @@ -1,7 +1,7 @@ #ifndef BSWAP_H #define BSWAP_H -#include "fpu/softfloat.h" +#include "fpu/softfloat-types.h" #ifdef CONFIG_MACHINE_BSWAP_H # include <sys/endian.h> diff --git a/target/alpha/cpu.h b/target/alpha/cpu.h index 09720c2f3b..a79fc2e780 100644 --- a/target/alpha/cpu.h +++ b/target/alpha/cpu.h @@ -33,8 +33,6 @@ #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" - #define ICACHE_LINE_SIZE 32 #define DCACHE_LINE_SIZE 32 diff --git a/target/arm/cpu.c b/target/arm/cpu.c index d796085be9..1b3ae62db6 100644 --- a/target/arm/cpu.c +++ b/target/arm/cpu.c @@ -34,6 +34,7 @@ #include "sysemu/hw_accel.h" #include "kvm_arm.h" #include "disas/capstone.h" +#include "fpu/softfloat.h" static void arm_cpu_set_pc(CPUState *cs, vaddr value) { diff --git a/target/arm/cpu.h b/target/arm/cpu.h index de62df091c..8c839faa8f 100644 --- a/target/arm/cpu.h +++ b/target/arm/cpu.h @@ -39,8 +39,6 @@ #include "cpu-qom.h" #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" - #define EXCP_UDEF 1 /* undefined instruction */ #define EXCP_SWI 2 /* software interrupt */ #define EXCP_PREFETCH_ABORT 3 diff --git a/target/arm/helper-a64.c b/target/arm/helper-a64.c index 06fd321fae..10e08bdc1f 100644 --- a/target/arm/helper-a64.c +++ b/target/arm/helper-a64.c @@ -31,6 +31,7 @@ #include "exec/cpu_ldst.h" #include "qemu/int128.h" #include "tcg.h" +#include "fpu/softfloat.h" #include <zlib.h> /* For crc32 */ /* C2.4.7 Multiply and divide */ diff --git a/target/arm/helper.c b/target/arm/helper.c index e7586fcf6c..32e4fd4732 100644 --- a/target/arm/helper.c +++ b/target/arm/helper.c @@ -15,6 +15,7 @@ #include <zlib.h> /* For crc32 */ #include "exec/semihost.h" #include "sysemu/kvm.h" +#include "fpu/softfloat.h" #define ARM_CPU_FREQ 1000000000 /* FIXME: 1 GHz, should be configurable */ diff --git a/target/arm/neon_helper.c b/target/arm/neon_helper.c index 689491cad3..a1ec6537eb 100644 --- a/target/arm/neon_helper.c +++ b/target/arm/neon_helper.c @@ -11,6 +11,7 @@ #include "cpu.h" #include "exec/exec-all.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" #define SIGNBIT (uint32_t)0x80000000 #define SIGNBIT64 ((uint64_t)1 << 63) diff --git a/target/hppa/cpu.c b/target/hppa/cpu.c index 7b635cc4ac..969f628f0a 100644 --- a/target/hppa/cpu.c +++ b/target/hppa/cpu.c @@ -23,6 +23,7 @@ #include "cpu.h" #include "qemu-common.h" #include "exec/exec-all.h" +#include "fpu/softfloat.h" static void hppa_cpu_set_pc(CPUState *cs, vaddr value) diff --git a/target/hppa/cpu.h b/target/hppa/cpu.h index 7640c81221..c88d844938 100644 --- a/target/hppa/cpu.h +++ b/target/hppa/cpu.h @@ -51,7 +51,6 @@ #define CPUArchState struct CPUHPPAState #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #define TARGET_PAGE_BITS 12 diff --git a/target/hppa/op_helper.c b/target/hppa/op_helper.c index 4ee936bf86..a3af62daf7 100644 --- a/target/hppa/op_helper.c +++ b/target/hppa/op_helper.c @@ -24,7 +24,7 @@ #include "exec/cpu_ldst.h" #include "sysemu/sysemu.h" #include "qemu/timer.h" - +#include "fpu/softfloat.h" void QEMU_NORETURN HELPER(excp)(CPUHPPAState *env, int excp) { diff --git a/target/i386/cpu.h b/target/i386/cpu.h index f91e37d25d..faf39ec1ce 100644 --- a/target/i386/cpu.h +++ b/target/i386/cpu.h @@ -52,10 +52,6 @@ #define CPUArchState struct CPUX86State -#ifdef CONFIG_TCG -#include "fpu/softfloat.h" -#endif - enum { R_EAX = 0, R_ECX = 1, diff --git a/target/i386/fpu_helper.c b/target/i386/fpu_helper.c index 9014b6f88a..ea5a0c4861 100644 --- a/target/i386/fpu_helper.c +++ b/target/i386/fpu_helper.c @@ -24,6 +24,7 @@ #include "qemu/host-utils.h" #include "exec/exec-all.h" #include "exec/cpu_ldst.h" +#include "fpu/softfloat.h" #define FPU_RC_MASK 0xc00 #define FPU_RC_NEAR 0x000 diff --git a/target/m68k/cpu.c b/target/m68k/cpu.c index 3026714471..a4ed8770aa 100644 --- a/target/m68k/cpu.c +++ b/target/m68k/cpu.c @@ -24,7 +24,7 @@ #include "qemu-common.h" #include "migration/vmstate.h" #include "exec/exec-all.h" - +#include "fpu/softfloat.h" static void m68k_cpu_set_pc(CPUState *cs, vaddr value) { diff --git a/target/m68k/cpu.h b/target/m68k/cpu.h index 1d79885222..65f4fb95cb 100644 --- a/target/m68k/cpu.h +++ b/target/m68k/cpu.h @@ -28,7 +28,6 @@ #include "qemu-common.h" #include "exec/cpu-defs.h" #include "cpu-qom.h" -#include "fpu/softfloat.h" #define OS_BYTE 0 #define OS_WORD 1 diff --git a/target/m68k/fpu_helper.c b/target/m68k/fpu_helper.c index 665e7609af..3c5a82aaa0 100644 --- a/target/m68k/fpu_helper.c +++ b/target/m68k/fpu_helper.c @@ -23,6 +23,7 @@ #include "exec/helper-proto.h" #include "exec/exec-all.h" #include "exec/cpu_ldst.h" +#include "fpu/softfloat.h" /* Undefined offsets may be different on various FPU. * On 68040 they return 0.0 (floatx80_zero) diff --git a/target/m68k/helper.c b/target/m68k/helper.c index 20155c7801..917d46efcc 100644 --- a/target/m68k/helper.c +++ b/target/m68k/helper.c @@ -24,6 +24,7 @@ #include "exec/gdbstub.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" #define SIGNBIT (1u << 31) diff --git a/target/m68k/translate.c b/target/m68k/translate.c index 70c7583621..93cd38950e 100644 --- a/target/m68k/translate.c +++ b/target/m68k/translate.c @@ -32,6 +32,8 @@ #include "trace-tcg.h" #include "exec/log.h" +#include "fpu/softfloat.h" + //#define DEBUG_DISPATCH 1 diff --git a/target/microblaze/cpu.c b/target/microblaze/cpu.c index d8df2fb07e..4dc1404800 100644 --- a/target/microblaze/cpu.c +++ b/target/microblaze/cpu.c @@ -28,6 +28,7 @@ #include "hw/qdev-properties.h" #include "migration/vmstate.h" #include "exec/exec-all.h" +#include "fpu/softfloat.h" static const struct { const char *name; diff --git a/target/microblaze/cpu.h b/target/microblaze/cpu.h index f3e7405a62..1fe21c8539 100644 --- a/target/microblaze/cpu.h +++ b/target/microblaze/cpu.h @@ -28,7 +28,7 @@ #define CPUArchState struct CPUMBState #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" +#include "fpu/softfloat-types.h" struct CPUMBState; typedef struct CPUMBState CPUMBState; #if !defined(CONFIG_USER_ONLY) diff --git a/target/microblaze/op_helper.c b/target/microblaze/op_helper.c index 869072a2d1..1b4fe796e7 100644 --- a/target/microblaze/op_helper.c +++ b/target/microblaze/op_helper.c @@ -24,6 +24,7 @@ #include "qemu/host-utils.h" #include "exec/exec-all.h" #include "exec/cpu_ldst.h" +#include "fpu/softfloat.h" #define D(x) diff --git a/target/moxie/cpu.h b/target/moxie/cpu.h index a01f480821..d85e1fc061 100644 --- a/target/moxie/cpu.h +++ b/target/moxie/cpu.h @@ -34,7 +34,6 @@ #define MOXIE_EX_BREAK 16 #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #define TARGET_PAGE_BITS 12 /* 4k */ diff --git a/target/nios2/cpu.h b/target/nios2/cpu.h index 204b39add7..cd4e40d1b4 100644 --- a/target/nios2/cpu.h +++ b/target/nios2/cpu.h @@ -27,7 +27,6 @@ #define CPUArchState struct CPUNios2State #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #include "qom/cpu.h" struct CPUNios2State; typedef struct CPUNios2State CPUNios2State; diff --git a/target/openrisc/cpu.h b/target/openrisc/cpu.h index fb46cc9986..5050b1135c 100644 --- a/target/openrisc/cpu.h +++ b/target/openrisc/cpu.h @@ -29,7 +29,6 @@ struct OpenRISCCPU; #include "qemu-common.h" #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #include "qom/cpu.h" #define TYPE_OPENRISC_CPU "or1k-cpu" diff --git a/target/openrisc/fpu_helper.c b/target/openrisc/fpu_helper.c index 1375cea948..977a1e8e55 100644 --- a/target/openrisc/fpu_helper.c +++ b/target/openrisc/fpu_helper.c @@ -22,6 +22,7 @@ #include "cpu.h" #include "exec/helper-proto.h" #include "exception.h" +#include "fpu/softfloat.h" static inline uint32_t ieee_ex_to_openrisc(OpenRISCCPU *cpu, int fexcp) { diff --git a/target/ppc/cpu.h b/target/ppc/cpu.h index 9f8cbbe7aa..7bde1884a1 100644 --- a/target/ppc/cpu.h +++ b/target/ppc/cpu.h @@ -79,7 +79,6 @@ #include "exec/cpu-defs.h" #include "cpu-qom.h" -#include "fpu/softfloat.h" #if defined (TARGET_PPC64) #define PPC_ELF_MACHINE EM_PPC64 diff --git a/target/ppc/fpu_helper.c b/target/ppc/fpu_helper.c index c4dab159e4..9ae418a577 100644 --- a/target/ppc/fpu_helper.c +++ b/target/ppc/fpu_helper.c @@ -21,6 +21,7 @@ #include "exec/helper-proto.h" #include "exec/exec-all.h" #include "internal.h" +#include "fpu/softfloat.h" static inline float128 float128_snan_to_qnan(float128 x) { diff --git a/target/ppc/int_helper.c b/target/ppc/int_helper.c index 3a50f1e1b7..35bdf09773 100644 --- a/target/ppc/int_helper.c +++ b/target/ppc/int_helper.c @@ -23,6 +23,7 @@ #include "qemu/host-utils.h" #include "exec/helper-proto.h" #include "crypto/aes.h" +#include "fpu/softfloat.h" #include "helper_regs.h" /*****************************************************************************/ diff --git a/target/ppc/translate_init.c b/target/ppc/translate_init.c index cbaa343e04..17a87df654 100644 --- a/target/ppc/translate_init.c +++ b/target/ppc/translate_init.c @@ -38,6 +38,7 @@ #include "sysemu/qtest.h" #include "qemu/cutils.h" #include "disas/capstone.h" +#include "fpu/softfloat.h" //#define PPC_DUMP_CPU //#define PPC_DEBUG_SPR diff --git a/target/s390x/cpu.c b/target/s390x/cpu.c index da7cb9c278..a665b9e60e 100644 --- a/target/s390x/cpu.c +++ b/target/s390x/cpu.c @@ -42,6 +42,7 @@ #include "sysemu/arch_init.h" #include "sysemu/sysemu.h" #endif +#include "fpu/softfloat.h" #define CR0_RESET 0xE0UL #define CR14_RESET 0xC2000000UL; diff --git a/target/s390x/cpu.h b/target/s390x/cpu.h index 21ce40d5b6..96df2fe5c9 100644 --- a/target/s390x/cpu.h +++ b/target/s390x/cpu.h @@ -41,8 +41,6 @@ #include "exec/cpu-all.h" -#include "fpu/softfloat.h" - #define NB_MMU_MODES 4 #define TARGET_INSN_START_EXTRA_WORDS 1 diff --git a/target/s390x/fpu_helper.c b/target/s390x/fpu_helper.c index 334159119f..43f8bf1c94 100644 --- a/target/s390x/fpu_helper.c +++ b/target/s390x/fpu_helper.c @@ -24,6 +24,7 @@ #include "exec/exec-all.h" #include "exec/cpu_ldst.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" /* #define DEBUG_HELPER */ #ifdef DEBUG_HELPER diff --git a/target/sh4/cpu.c b/target/sh4/cpu.c index e37c187ca2..6302cfda3a 100644 --- a/target/sh4/cpu.c +++ b/target/sh4/cpu.c @@ -25,6 +25,7 @@ #include "qemu-common.h" #include "migration/vmstate.h" #include "exec/exec-all.h" +#include "fpu/softfloat.h" static void superh_cpu_set_pc(CPUState *cs, vaddr value) diff --git a/target/sh4/cpu.h b/target/sh4/cpu.h index 52a4568dd5..a649b68d78 100644 --- a/target/sh4/cpu.h +++ b/target/sh4/cpu.h @@ -40,8 +40,6 @@ #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" - #define TARGET_PAGE_BITS 12 /* 4k XXXXX */ #define TARGET_PHYS_ADDR_SPACE_BITS 32 diff --git a/target/sh4/op_helper.c b/target/sh4/op_helper.c index 4b8bbf63b4..4f825bae5a 100644 --- a/target/sh4/op_helper.c +++ b/target/sh4/op_helper.c @@ -21,6 +21,7 @@ #include "exec/helper-proto.h" #include "exec/exec-all.h" #include "exec/cpu_ldst.h" +#include "fpu/softfloat.h" #ifndef CONFIG_USER_ONLY diff --git a/target/sparc/cpu.h b/target/sparc/cpu.h index 3eaffb354e..9724134a5b 100644 --- a/target/sparc/cpu.h +++ b/target/sparc/cpu.h @@ -29,8 +29,6 @@ #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" - /*#define EXCP_INTERRUPT 0x100*/ /* trap definitions */ diff --git a/target/sparc/fop_helper.c b/target/sparc/fop_helper.c index c7fb176e4c..b6642fd1d7 100644 --- a/target/sparc/fop_helper.c +++ b/target/sparc/fop_helper.c @@ -21,6 +21,7 @@ #include "cpu.h" #include "exec/exec-all.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" #define QT0 (env->qt0) #define QT1 (env->qt1) diff --git a/target/tricore/cpu.h b/target/tricore/cpu.h index f41d2ceb69..e7dfe4bcc6 100644 --- a/target/tricore/cpu.h +++ b/target/tricore/cpu.h @@ -24,7 +24,6 @@ #include "qemu-common.h" #include "cpu-qom.h" #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #define CPUArchState struct CPUTriCoreState diff --git a/target/tricore/fpu_helper.c b/target/tricore/fpu_helper.c index 7979bb6692..df162902d6 100644 --- a/target/tricore/fpu_helper.c +++ b/target/tricore/fpu_helper.c @@ -20,6 +20,7 @@ #include "qemu/osdep.h" #include "cpu.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" #define QUIET_NAN 0x7fc00000 #define ADD_NAN 0x7fc00001 diff --git a/target/tricore/helper.c b/target/tricore/helper.c index 378c2a4a76..45276d3782 100644 --- a/target/tricore/helper.c +++ b/target/tricore/helper.c @@ -19,6 +19,7 @@ #include "cpu.h" #include "exec/exec-all.h" +#include "fpu/softfloat.h" enum { TLBRET_DIRTY = -4, diff --git a/target/unicore32/cpu.c b/target/unicore32/cpu.c index fb837aab4c..29d160a88d 100644 --- a/target/unicore32/cpu.c +++ b/target/unicore32/cpu.c @@ -18,6 +18,7 @@ #include "qemu-common.h" #include "migration/vmstate.h" #include "exec/exec-all.h" +#include "fpu/softfloat.h" static void uc32_cpu_set_pc(CPUState *cs, vaddr value) { diff --git a/target/unicore32/cpu.h b/target/unicore32/cpu.h index a3cc71416d..42e1d52478 100644 --- a/target/unicore32/cpu.h +++ b/target/unicore32/cpu.h @@ -23,7 +23,6 @@ #include "qemu-common.h" #include "cpu-qom.h" #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #define NB_MMU_MODES 2 diff --git a/target/unicore32/ucf64_helper.c b/target/unicore32/ucf64_helper.c index 6c919010c3..fad3fa6618 100644 --- a/target/unicore32/ucf64_helper.c +++ b/target/unicore32/ucf64_helper.c @@ -11,6 +11,7 @@ #include "qemu/osdep.h" #include "cpu.h" #include "exec/helper-proto.h" +#include "fpu/softfloat.h" /* * The convention used for UniCore-F64 instructions: diff --git a/target/xtensa/cpu.h b/target/xtensa/cpu.h index f300c02c07..49c2e3cf9a 100644 --- a/target/xtensa/cpu.h +++ b/target/xtensa/cpu.h @@ -36,7 +36,6 @@ #include "qemu-common.h" #include "cpu-qom.h" #include "exec/cpu-defs.h" -#include "fpu/softfloat.h" #include "xtensa-isa.h" #define NB_MMU_MODES 4 diff --git a/target/xtensa/op_helper.c b/target/xtensa/op_helper.c index 43182b113e..7486b99799 100644 --- a/target/xtensa/op_helper.c +++ b/target/xtensa/op_helper.c @@ -34,6 +34,7 @@ #include "exec/cpu_ldst.h" #include "exec/address-spaces.h" #include "qemu/timer.h" +#include "fpu/softfloat.h" void xtensa_cpu_do_unaligned_access(CPUState *cs, vaddr addr, MMUAccessType access_type, |