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https://github.com/yuzu-emu/unicorn
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fpu/softfloat: re-factor float to float conversions
This allows us to delete a lot of additional boilerplate code which is no longer needed. Backports commit 6fed16b265a4fcc810895bbca4d67e1ae7a89f07 from qemu
This commit is contained in:
parent
e65fd25e17
commit
f1f2521b38
3 changed files with 122 additions and 414 deletions
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@ -376,46 +376,6 @@ float16 float16_maybe_silence_nan(float16 a, float_status *status)
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return a;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the half-precision floating-point NaN
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| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
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| exception is raised.
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*----------------------------------------------------------------------------*/
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static commonNaNT float16ToCommonNaN(float16 a, float_status *status)
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{
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commonNaNT z;
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if (float16_is_signaling_nan(a, status)) {
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float_raise(float_flag_invalid, status);
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}
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z.sign = float16_val(a) >> 15;
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z.low = 0;
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z.high = ((uint64_t) float16_val(a)) << 54;
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return z;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the canonical NaN `a' to the half-
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| precision floating-point format.
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*----------------------------------------------------------------------------*/
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static float16 commonNaNToFloat16(commonNaNT a, float_status *status)
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{
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uint16_t mantissa = a.high >> 54;
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if (status->default_nan_mode) {
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return float16_default_nan(status);
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}
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if (mantissa) {
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return make_float16(((((uint16_t) a.sign) << 15)
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| (0x1F << 10) | mantissa));
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} else {
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return float16_default_nan(status);
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}
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}
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/*----------------------------------------------------------------------------
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| Returns 1 if the single-precision floating-point value `a' is a quiet
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| NaN; otherwise returns 0.
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@ -113,15 +113,6 @@ static inline int extractFloat16Exp(float16 a)
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return (float16_val(a) >> 10) & 0x1f;
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}
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/*----------------------------------------------------------------------------
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| Returns the sign bit of the single-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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static inline flag extractFloat16Sign(float16 a)
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{
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return float16_val(a)>>15;
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}
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/*----------------------------------------------------------------------------
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| Returns the fraction bits of the single-precision floating-point value `a'.
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*----------------------------------------------------------------------------*/
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@ -254,6 +245,11 @@ static const FloatFmt float16_params = {
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FLOAT_PARAMS(5, 10)
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};
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static const FloatFmt float16_params_ahp = {
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FLOAT_PARAMS(5, 10),
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true
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};
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static const FloatFmt float32_params = {
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FLOAT_PARAMS(8, 23)
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};
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@ -497,14 +493,27 @@ static FloatParts round_canonical(FloatParts p, float_status *s,
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return p;
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}
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/* Explicit FloatFmt version */
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static FloatParts float16a_unpack_canonical(float16 f, float_status *s,
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const FloatFmt *params)
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{
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return canonicalize(float16_unpack_raw(f), params, s);
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}
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static FloatParts float16_unpack_canonical(float16 f, float_status *s)
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{
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return canonicalize(float16_unpack_raw(f), &float16_params, s);
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return float16a_unpack_canonical(f, s, &float16_params);
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}
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static float16 float16a_round_pack_canonical(FloatParts p, float_status *s,
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const FloatFmt *params)
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{
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return float16_pack_raw(round_canonical(p, s, params));
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}
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static float16 float16_round_pack_canonical(FloatParts p, float_status *s)
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{
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return float16_pack_raw(round_canonical(p, s, &float16_params));
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return float16a_round_pack_canonical(p, s, &float16_params);
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}
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static FloatParts float32_unpack_canonical(float32 f, float_status *s)
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@ -1181,6 +1190,104 @@ float64 float64_div(float64 a, float64 b, float_status *status)
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return float64_round_pack_canonical(pr, status);
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}
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/*
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* Float to Float conversions
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*
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* Returns the result of converting one float format to another. The
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* conversion is performed according to the IEC/IEEE Standard for
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* Binary Floating-Point Arithmetic.
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*
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* The float_to_float helper only needs to take care of raising
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* invalid exceptions and handling the conversion on NaNs.
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*/
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static FloatParts float_to_float(FloatParts a, const FloatFmt *dstf,
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float_status *s)
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{
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if (dstf->arm_althp) {
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switch (a.cls) {
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case float_class_qnan:
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case float_class_snan:
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/* There is no NaN in the destination format. Raise Invalid
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* and return a zero with the sign of the input NaN.
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*/
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s->float_exception_flags |= float_flag_invalid;
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a.cls = float_class_zero;
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a.frac = 0;
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a.exp = 0;
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break;
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case float_class_inf:
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/* There is no Inf in the destination format. Raise Invalid
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* and return the maximum normal with the correct sign.
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*/
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s->float_exception_flags |= float_flag_invalid;
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a.cls = float_class_normal;
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a.exp = dstf->exp_max;
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a.frac = ((1ull << dstf->frac_size) - 1) << dstf->frac_shift;
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break;
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default:
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break;
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}
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} else if (is_nan(a.cls)) {
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if (is_snan(a.cls)) {
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s->float_exception_flags |= float_flag_invalid;
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a = parts_silence_nan(a, s);
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}
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if (s->default_nan_mode) {
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return parts_default_nan(s);
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}
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}
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return a;
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}
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float32 float16_to_float32(float16 a, bool ieee, float_status *s)
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{
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const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp;
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FloatParts p = float16a_unpack_canonical(a, s, fmt16);
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FloatParts pr = float_to_float(p, &float32_params, s);
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return float32_round_pack_canonical(pr, s);
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}
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float64 float16_to_float64(float16 a, bool ieee, float_status *s)
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{
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const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp;
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FloatParts p = float16a_unpack_canonical(a, s, fmt16);
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FloatParts pr = float_to_float(p, &float64_params, s);
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return float64_round_pack_canonical(pr, s);
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}
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float16 float32_to_float16(float32 a, bool ieee, float_status *s)
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{
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const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp;
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FloatParts p = float32_unpack_canonical(a, s);
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FloatParts pr = float_to_float(p, fmt16, s);
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return float16a_round_pack_canonical(pr, s, fmt16);
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}
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float64 float32_to_float64(float32 a, float_status *s)
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{
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FloatParts p = float32_unpack_canonical(a, s);
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FloatParts pr = float_to_float(p, &float64_params, s);
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return float64_round_pack_canonical(pr, s);
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}
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float16 float64_to_float16(float64 a, bool ieee, float_status *s)
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{
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const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp;
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FloatParts p = float64_unpack_canonical(a, s);
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FloatParts pr = float_to_float(p, fmt16, s);
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return float16a_round_pack_canonical(pr, s, fmt16);
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}
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float32 float64_to_float32(float64 a, float_status *s)
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{
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FloatParts p = float64_unpack_canonical(a, s);
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FloatParts pr = float_to_float(p, &float32_params, s);
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return float32_round_pack_canonical(pr, s);
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}
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/*
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* Rounds the floating-point value `a' to an integer, and returns the
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* result as a floating-point value. The operation is performed
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@ -3125,41 +3232,6 @@ float128 uint64_to_float128(uint64_t a, float_status *status)
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return normalizeRoundAndPackFloat128(0, 0x406E, 0, a, status);
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the single-precision floating-point value
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| `a' to the double-precision floating-point format. The conversion is
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| performed according to the IEC/IEEE Standard for Binary Floating-Point
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| Arithmetic.
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*----------------------------------------------------------------------------*/
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float64 float32_to_float64(float32 a, float_status *status)
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{
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flag aSign;
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int aExp;
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uint32_t aSig;
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a = float32_squash_input_denormal(a, status);
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aSig = extractFloat32Frac( a );
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aExp = extractFloat32Exp( a );
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aSign = extractFloat32Sign( a );
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if ( aExp == 0xFF ) {
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if (aSig) {
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return commonNaNToFloat64(float32ToCommonNaN(a, status), status);
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}
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return packFloat64( aSign, 0x7FF, 0 );
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}
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if ( aExp == 0 ) {
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if ( aSig == 0 ) return packFloat64( aSign, 0, 0 );
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normalizeFloat32Subnormal( aSig, &aExp, &aSig );
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--aExp;
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}
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return packFloat64( aSign, aExp + 0x380, ( (uint64_t) aSig )<<29 );
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the single-precision floating-point value
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| `a' to the extended double-precision floating-point format. The conversion
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@ -3678,173 +3750,6 @@ int float32_unordered_quiet(float32 a, float32 b, float_status *status)
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return 0;
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}
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/*----------------------------------------------------------------------------
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| Returns the result of converting the double-precision floating-point value
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| `a' to the single-precision floating-point format. The conversion is
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| performed according to the IEC/IEEE Standard for Binary Floating-Point
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| Arithmetic.
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*----------------------------------------------------------------------------*/
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float32 float64_to_float32(float64 a, float_status *status)
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{
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flag aSign;
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int aExp;
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uint64_t aSig;
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uint32_t zSig;
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a = float64_squash_input_denormal(a, status);
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aSig = extractFloat64Frac( a );
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aExp = extractFloat64Exp( a );
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aSign = extractFloat64Sign( a );
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if ( aExp == 0x7FF ) {
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if (aSig) {
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return commonNaNToFloat32(float64ToCommonNaN(a, status), status);
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}
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return packFloat32( aSign, 0xFF, 0 );
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}
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shift64RightJamming( aSig, 22, &aSig );
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zSig = aSig;
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if ( aExp || zSig ) {
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zSig |= 0x40000000;
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aExp -= 0x381;
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}
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return roundAndPackFloat32(aSign, aExp, zSig, status);
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}
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/*----------------------------------------------------------------------------
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| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
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| half-precision floating-point value, returning the result. After being
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| shifted into the proper positions, the three fields are simply added
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| together to form the result. This means that any integer portion of `zSig'
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| will be added into the exponent. Since a properly normalized significand
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| will have an integer portion equal to 1, the `zExp' input should be 1 less
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| than the desired result exponent whenever `zSig' is a complete, normalized
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| significand.
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*----------------------------------------------------------------------------*/
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static float16 packFloat16(flag zSign, int zExp, uint16_t zSig)
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{
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return make_float16(
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(((uint32_t)zSign) << 15) + (((uint32_t)zExp) << 10) + zSig);
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}
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/*----------------------------------------------------------------------------
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| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
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| and significand `zSig', and returns the proper half-precision floating-
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| point value corresponding to the abstract input. Ordinarily, the abstract
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| value is simply rounded and packed into the half-precision format, with
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| the inexact exception raised if the abstract input cannot be represented
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| exactly. However, if the abstract value is too large, the overflow and
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| inexact exceptions are raised and an infinity or maximal finite value is
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| returned. If the abstract value is too small, the input value is rounded to
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| a subnormal number, and the underflow and inexact exceptions are raised if
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| the abstract input cannot be represented exactly as a subnormal half-
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| precision floating-point number.
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| The `ieee' flag indicates whether to use IEEE standard half precision, or
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| ARM-style "alternative representation", which omits the NaN and Inf
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| encodings in order to raise the maximum representable exponent by one.
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| The input significand `zSig' has its binary point between bits 22
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| and 23, which is 13 bits to the left of the usual location. This shifted
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| significand must be normalized or smaller. If `zSig' is not normalized,
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| `zExp' must be 0; in that case, the result returned is a subnormal number,
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| and it must not require rounding. In the usual case that `zSig' is
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| normalized, `zExp' must be 1 less than the ``true'' floating-point exponent.
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| Note the slightly odd position of the binary point in zSig compared with the
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| other roundAndPackFloat functions. This should probably be fixed if we
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| need to implement more float16 routines than just conversion.
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| The handling of underflow and overflow follows the IEC/IEEE Standard for
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| Binary Floating-Point Arithmetic.
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*----------------------------------------------------------------------------*/
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static float16 roundAndPackFloat16(flag zSign, int zExp,
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uint32_t zSig, flag ieee,
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float_status *status)
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{
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int maxexp = ieee ? 29 : 30;
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uint32_t mask;
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uint32_t increment;
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bool rounding_bumps_exp;
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bool is_tiny = false;
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/* Calculate the mask of bits of the mantissa which are not
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* representable in half-precision and will be lost.
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*/
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if (zExp < 1) {
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/* Will be denormal in halfprec */
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mask = 0x00ffffff;
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if (zExp >= -11) {
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mask >>= 11 + zExp;
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}
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} else {
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/* Normal number in halfprec */
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mask = 0x00001fff;
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}
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switch (status->float_rounding_mode) {
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case float_round_nearest_even:
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increment = (mask + 1) >> 1;
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if ((zSig & mask) == increment) {
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increment = zSig & (increment << 1);
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}
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break;
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case float_round_ties_away:
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increment = (mask + 1) >> 1;
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break;
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case float_round_up:
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increment = zSign ? 0 : mask;
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break;
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case float_round_down:
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increment = zSign ? mask : 0;
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break;
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default: /* round_to_zero */
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increment = 0;
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break;
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}
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rounding_bumps_exp = (zSig + increment >= 0x01000000);
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if (zExp > maxexp || (zExp == maxexp && rounding_bumps_exp)) {
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if (ieee) {
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float_raise(float_flag_overflow | float_flag_inexact, status);
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return packFloat16(zSign, 0x1f, 0);
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} else {
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float_raise(float_flag_invalid, status);
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return packFloat16(zSign, 0x1f, 0x3ff);
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}
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}
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if (zExp < 0) {
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/* Note that flush-to-zero does not affect half-precision results */
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is_tiny =
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(status->float_detect_tininess == float_tininess_before_rounding)
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|| (zExp < -1)
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|| (!rounding_bumps_exp);
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}
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if (zSig & mask) {
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float_raise(float_flag_inexact, status);
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if (is_tiny) {
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float_raise(float_flag_underflow, status);
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}
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}
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zSig += increment;
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if (rounding_bumps_exp) {
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zSig >>= 1;
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zExp++;
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}
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if (zExp < -10) {
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return packFloat16(zSign, 0, 0);
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}
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if (zExp < 0) {
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zSig >>= -zExp;
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zExp = 0;
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}
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return packFloat16(zSign, zExp, zSig >> 13);
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}
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/*----------------------------------------------------------------------------
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| If `a' is denormal and we are in flush-to-zero mode then set the
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| input-denormal exception and return zero. Otherwise just return the value.
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|
@ -3860,163 +3765,6 @@ float16 float16_squash_input_denormal(float16 a, float_status *status)
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return a;
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}
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static void normalizeFloat16Subnormal(uint32_t aSig, int *zExpPtr,
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uint32_t *zSigPtr)
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{
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int8_t shiftCount = countLeadingZeros32(aSig) - 21;
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*zSigPtr = aSig << shiftCount;
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*zExpPtr = 1 - shiftCount;
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}
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/* Half precision floats come in two formats: standard IEEE and "ARM" format.
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The latter gains extra exponent range by omitting the NaN/Inf encodings. */
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float32 float16_to_float32(float16 a, flag ieee, float_status *status)
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{
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flag aSign;
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int aExp;
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uint32_t aSig;
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aSign = extractFloat16Sign(a);
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aExp = extractFloat16Exp(a);
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aSig = extractFloat16Frac(a);
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if (aExp == 0x1f && ieee) {
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if (aSig) {
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return commonNaNToFloat32(float16ToCommonNaN(a, status), status);
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}
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return packFloat32(aSign, 0xff, 0);
|
||||
}
|
||||
if (aExp == 0) {
|
||||
if (aSig == 0) {
|
||||
return packFloat32(aSign, 0, 0);
|
||||
}
|
||||
|
||||
normalizeFloat16Subnormal(aSig, &aExp, &aSig);
|
||||
aExp--;
|
||||
}
|
||||
return packFloat32( aSign, aExp + 0x70, aSig << 13);
|
||||
}
|
||||
|
||||
float16 float32_to_float16(float32 a, flag ieee, float_status *status)
|
||||
{
|
||||
flag aSign;
|
||||
int 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) {
|
||||
/* Input is a NaN */
|
||||
if (!ieee) {
|
||||
float_raise(float_flag_invalid, status);
|
||||
return packFloat16(aSign, 0, 0);
|
||||
}
|
||||
return commonNaNToFloat16(
|
||||
float32ToCommonNaN(a, status), status);
|
||||
}
|
||||
/* Infinity */
|
||||
if (!ieee) {
|
||||
float_raise(float_flag_invalid, status);
|
||||
return packFloat16(aSign, 0x1f, 0x3ff);
|
||||
}
|
||||
return packFloat16(aSign, 0x1f, 0);
|
||||
}
|
||||
if (aExp == 0 && aSig == 0) {
|
||||
return packFloat16(aSign, 0, 0);
|
||||
}
|
||||
/* Decimal point between bits 22 and 23. Note that we add the 1 bit
|
||||
* even if the input is denormal; however this is harmless because
|
||||
* the largest possible single-precision denormal is still smaller
|
||||
* than the smallest representable half-precision denormal, and so we
|
||||
* will end up ignoring aSig and returning via the "always return zero"
|
||||
* codepath.
|
||||
*/
|
||||
aSig |= 0x00800000;
|
||||
aExp -= 0x71;
|
||||
|
||||
return roundAndPackFloat16(aSign, aExp, aSig, ieee, status);
|
||||
}
|
||||
|
||||
float64 float16_to_float64(float16 a, flag ieee, float_status *status)
|
||||
{
|
||||
flag aSign;
|
||||
int aExp;
|
||||
uint32_t aSig;
|
||||
|
||||
aSign = extractFloat16Sign(a);
|
||||
aExp = extractFloat16Exp(a);
|
||||
aSig = extractFloat16Frac(a);
|
||||
|
||||
if (aExp == 0x1f && ieee) {
|
||||
if (aSig) {
|
||||
return commonNaNToFloat64(
|
||||
float16ToCommonNaN(a, status), status);
|
||||
}
|
||||
return packFloat64(aSign, 0x7ff, 0);
|
||||
}
|
||||
if (aExp == 0) {
|
||||
if (aSig == 0) {
|
||||
return packFloat64(aSign, 0, 0);
|
||||
}
|
||||
|
||||
normalizeFloat16Subnormal(aSig, &aExp, &aSig);
|
||||
aExp--;
|
||||
}
|
||||
return packFloat64(aSign, aExp + 0x3f0, ((uint64_t)aSig) << 42);
|
||||
}
|
||||
|
||||
float16 float64_to_float16(float64 a, flag ieee, float_status *status)
|
||||
{
|
||||
flag aSign;
|
||||
int aExp;
|
||||
uint64_t aSig;
|
||||
uint32_t zSig;
|
||||
|
||||
a = float64_squash_input_denormal(a, status);
|
||||
|
||||
aSig = extractFloat64Frac(a);
|
||||
aExp = extractFloat64Exp(a);
|
||||
aSign = extractFloat64Sign(a);
|
||||
if (aExp == 0x7FF) {
|
||||
if (aSig) {
|
||||
/* Input is a NaN */
|
||||
if (!ieee) {
|
||||
float_raise(float_flag_invalid, status);
|
||||
return packFloat16(aSign, 0, 0);
|
||||
}
|
||||
return commonNaNToFloat16(
|
||||
float64ToCommonNaN(a, status), status);
|
||||
}
|
||||
/* Infinity */
|
||||
if (!ieee) {
|
||||
float_raise(float_flag_invalid, status);
|
||||
return packFloat16(aSign, 0x1f, 0x3ff);
|
||||
}
|
||||
return packFloat16(aSign, 0x1f, 0);
|
||||
}
|
||||
shift64RightJamming(aSig, 29, &aSig);
|
||||
zSig = aSig;
|
||||
if (aExp == 0 && zSig == 0) {
|
||||
return packFloat16(aSign, 0, 0);
|
||||
}
|
||||
/* Decimal point between bits 22 and 23. Note that we add the 1 bit
|
||||
* even if the input is denormal; however this is harmless because
|
||||
* the largest possible single-precision denormal is still smaller
|
||||
* than the smallest representable half-precision denormal, and so we
|
||||
* will end up ignoring aSig and returning via the "always return zero"
|
||||
* codepath.
|
||||
*/
|
||||
zSig |= 0x00800000;
|
||||
aExp -= 0x3F1;
|
||||
|
||||
return roundAndPackFloat16(aSign, aExp, zSig, ieee, status);
|
||||
}
|
||||
|
||||
/*----------------------------------------------------------------------------
|
||||
| Returns the result of converting the double-precision floating-point value
|
||||
| `a' to the extended double-precision floating-point format. The conversion
|
||||
|
|
|
@ -214,10 +214,10 @@ float128 uint64_to_float128(uint64_t, float_status *status);
|
|||
/*----------------------------------------------------------------------------
|
||||
| Software half-precision conversion routines.
|
||||
*----------------------------------------------------------------------------*/
|
||||
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);
|
||||
float16 float32_to_float16(float32, bool ieee, float_status *status);
|
||||
float32 float16_to_float32(float16, bool ieee, float_status *status);
|
||||
float16 float64_to_float16(float64 a, bool ieee, float_status *status);
|
||||
float64 float16_to_float64(float16 a, bool 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);
|
||||
|
|
Loading…
Reference in a new issue