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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-28 14:29:10 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-28 14:29:10 +0000
commit2aa4a82499d4becd2284cdb482213d541b8804dd (patch)
treeb80bf8bf13c3766139fbacc530efd0dd9d54394c /js/src/jit/arm64/vixl/Utils-vixl.h
parentInitial commit. (diff)
downloadfirefox-2aa4a82499d4becd2284cdb482213d541b8804dd.tar.xz
firefox-2aa4a82499d4becd2284cdb482213d541b8804dd.zip
Adding upstream version 86.0.1.upstream/86.0.1upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'js/src/jit/arm64/vixl/Utils-vixl.h')
-rw-r--r--js/src/jit/arm64/vixl/Utils-vixl.h1283
1 files changed, 1283 insertions, 0 deletions
diff --git a/js/src/jit/arm64/vixl/Utils-vixl.h b/js/src/jit/arm64/vixl/Utils-vixl.h
new file mode 100644
index 0000000000..d1f6a835f8
--- /dev/null
+++ b/js/src/jit/arm64/vixl/Utils-vixl.h
@@ -0,0 +1,1283 @@
+// Copyright 2015, VIXL authors
+// All rights reserved.
+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions are met:
+//
+// * Redistributions of source code must retain the above copyright notice,
+// this list of conditions and the following disclaimer.
+// * 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.
+// * Neither the name of ARM Limited 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 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 OWNER 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.
+
+#ifndef VIXL_UTILS_H
+#define VIXL_UTILS_H
+
+#include "mozilla/FloatingPoint.h"
+
+#include <cmath>
+#include <cstring>
+#include <limits>
+#include <vector>
+
+#include "jit/arm64/vixl/CompilerIntrinsics-vixl.h"
+#include "jit/arm64/vixl/Globals-vixl.h"
+
+namespace vixl {
+
+// Macros for compile-time format checking.
+#if GCC_VERSION_OR_NEWER(4, 4, 0)
+#define PRINTF_CHECK(format_index, varargs_index) \
+ __attribute__((format(gnu_printf, format_index, varargs_index)))
+#else
+#define PRINTF_CHECK(format_index, varargs_index)
+#endif
+
+#ifdef __GNUC__
+#define VIXL_HAS_DEPRECATED_WITH_MSG
+#elif defined(__clang__)
+#ifdef __has_extension
+#define VIXL_HAS_DEPRECATED_WITH_MSG
+#endif
+#endif
+
+#ifdef VIXL_HAS_DEPRECATED_WITH_MSG
+#define VIXL_DEPRECATED(replaced_by, declarator) \
+ __attribute__((deprecated("Use \"" replaced_by "\" instead"))) declarator
+#else
+#define VIXL_DEPRECATED(replaced_by, declarator) declarator
+#endif
+
+#ifdef VIXL_DEBUG
+#define VIXL_UNREACHABLE_OR_FALLTHROUGH() VIXL_UNREACHABLE()
+#else
+#define VIXL_UNREACHABLE_OR_FALLTHROUGH() VIXL_FALLTHROUGH()
+#endif
+
+template <typename T, size_t n>
+size_t ArrayLength(const T (&)[n]) {
+ return n;
+}
+
+// Check number width.
+// TODO: Refactor these using templates.
+inline bool IsIntN(unsigned n, uint32_t x) {
+ VIXL_ASSERT((0 < n) && (n < 32));
+ uint32_t limit = UINT32_C(1) << (n - 1);
+ return x < limit;
+}
+inline bool IsIntN(unsigned n, int32_t x) {
+ VIXL_ASSERT((0 < n) && (n < 32));
+ int32_t limit = INT32_C(1) << (n - 1);
+ return (-limit <= x) && (x < limit);
+}
+inline bool IsIntN(unsigned n, uint64_t x) {
+ VIXL_ASSERT((0 < n) && (n < 64));
+ uint64_t limit = UINT64_C(1) << (n - 1);
+ return x < limit;
+}
+inline bool IsIntN(unsigned n, int64_t x) {
+ VIXL_ASSERT((0 < n) && (n < 64));
+ int64_t limit = INT64_C(1) << (n - 1);
+ return (-limit <= x) && (x < limit);
+}
+VIXL_DEPRECATED("IsIntN", inline bool is_intn(unsigned n, int64_t x)) {
+ return IsIntN(n, x);
+}
+
+inline bool IsUintN(unsigned n, uint32_t x) {
+ VIXL_ASSERT((0 < n) && (n < 32));
+ return !(x >> n);
+}
+inline bool IsUintN(unsigned n, int32_t x) {
+ VIXL_ASSERT((0 < n) && (n < 32));
+ // Convert to an unsigned integer to avoid implementation-defined behavior.
+ return !(static_cast<uint32_t>(x) >> n);
+}
+inline bool IsUintN(unsigned n, uint64_t x) {
+ VIXL_ASSERT((0 < n) && (n < 64));
+ return !(x >> n);
+}
+inline bool IsUintN(unsigned n, int64_t x) {
+ VIXL_ASSERT((0 < n) && (n < 64));
+ // Convert to an unsigned integer to avoid implementation-defined behavior.
+ return !(static_cast<uint64_t>(x) >> n);
+}
+VIXL_DEPRECATED("IsUintN", inline bool is_uintn(unsigned n, int64_t x)) {
+ return IsUintN(n, x);
+}
+
+inline uint64_t TruncateToUintN(unsigned n, uint64_t x) {
+ VIXL_ASSERT((0 < n) && (n < 64));
+ return static_cast<uint64_t>(x) & ((UINT64_C(1) << n) - 1);
+}
+VIXL_DEPRECATED("TruncateToUintN",
+ inline uint64_t truncate_to_intn(unsigned n, int64_t x)) {
+ return TruncateToUintN(n, x);
+}
+
+// clang-format off
+#define INT_1_TO_32_LIST(V) \
+V(1) V(2) V(3) V(4) V(5) V(6) V(7) V(8) \
+V(9) V(10) V(11) V(12) V(13) V(14) V(15) V(16) \
+V(17) V(18) V(19) V(20) V(21) V(22) V(23) V(24) \
+V(25) V(26) V(27) V(28) V(29) V(30) V(31) V(32)
+
+#define INT_33_TO_63_LIST(V) \
+V(33) V(34) V(35) V(36) V(37) V(38) V(39) V(40) \
+V(41) V(42) V(43) V(44) V(45) V(46) V(47) V(48) \
+V(49) V(50) V(51) V(52) V(53) V(54) V(55) V(56) \
+V(57) V(58) V(59) V(60) V(61) V(62) V(63)
+
+#define INT_1_TO_63_LIST(V) INT_1_TO_32_LIST(V) INT_33_TO_63_LIST(V)
+
+// clang-format on
+
+#define DECLARE_IS_INT_N(N) \
+ inline bool IsInt##N(int64_t x) { return IsIntN(N, x); } \
+ VIXL_DEPRECATED("IsInt" #N, inline bool is_int##N(int64_t x)) { \
+ return IsIntN(N, x); \
+ }
+
+#define DECLARE_IS_UINT_N(N) \
+ inline bool IsUint##N(int64_t x) { return IsUintN(N, x); } \
+ VIXL_DEPRECATED("IsUint" #N, inline bool is_uint##N(int64_t x)) { \
+ return IsUintN(N, x); \
+ }
+
+#define DECLARE_TRUNCATE_TO_UINT_32(N) \
+ inline uint32_t TruncateToUint##N(uint64_t x) { \
+ return static_cast<uint32_t>(TruncateToUintN(N, x)); \
+ } \
+ VIXL_DEPRECATED("TruncateToUint" #N, \
+ inline uint32_t truncate_to_int##N(int64_t x)) { \
+ return TruncateToUint##N(x); \
+ }
+
+INT_1_TO_63_LIST(DECLARE_IS_INT_N)
+INT_1_TO_63_LIST(DECLARE_IS_UINT_N)
+INT_1_TO_32_LIST(DECLARE_TRUNCATE_TO_UINT_32)
+
+#undef DECLARE_IS_INT_N
+#undef DECLARE_IS_UINT_N
+#undef DECLARE_TRUNCATE_TO_INT_N
+
+// Bit field extraction.
+inline uint64_t ExtractUnsignedBitfield64(int msb, int lsb, uint64_t x) {
+ VIXL_ASSERT((static_cast<size_t>(msb) < sizeof(x) * 8) && (lsb >= 0) &&
+ (msb >= lsb));
+ if ((msb == 63) && (lsb == 0)) return x;
+ return (x >> lsb) & ((static_cast<uint64_t>(1) << (1 + msb - lsb)) - 1);
+}
+
+
+inline uint32_t ExtractUnsignedBitfield32(int msb, int lsb, uint32_t x) {
+ VIXL_ASSERT((static_cast<size_t>(msb) < sizeof(x) * 8) && (lsb >= 0) &&
+ (msb >= lsb));
+ return TruncateToUint32(ExtractUnsignedBitfield64(msb, lsb, x));
+}
+
+
+inline int64_t ExtractSignedBitfield64(int msb, int lsb, int64_t x) {
+ VIXL_ASSERT((static_cast<size_t>(msb) < sizeof(x) * 8) && (lsb >= 0) &&
+ (msb >= lsb));
+ uint64_t temp = ExtractUnsignedBitfield64(msb, lsb, x);
+ // If the highest extracted bit is set, sign extend.
+ if ((temp >> (msb - lsb)) == 1) {
+ temp |= ~UINT64_C(0) << (msb - lsb);
+ }
+ int64_t result;
+ memcpy(&result, &temp, sizeof(result));
+ return result;
+}
+
+
+inline int32_t ExtractSignedBitfield32(int msb, int lsb, int32_t x) {
+ VIXL_ASSERT((static_cast<size_t>(msb) < sizeof(x) * 8) && (lsb >= 0) &&
+ (msb >= lsb));
+ uint32_t temp = TruncateToUint32(ExtractSignedBitfield64(msb, lsb, x));
+ int32_t result;
+ memcpy(&result, &temp, sizeof(result));
+ return result;
+}
+
+
+inline uint64_t RotateRight(uint64_t value,
+ unsigned int rotate,
+ unsigned int width) {
+ VIXL_ASSERT((width > 0) && (width <= 64));
+ uint64_t width_mask = ~UINT64_C(0) >> (64 - width);
+ rotate &= 63;
+ if (rotate > 0) {
+ value &= width_mask;
+ value = (value << (width - rotate)) | (value >> rotate);
+ }
+ return value & width_mask;
+}
+
+
+// Wrapper class for passing FP16 values through the assembler.
+// This is purely to aid with type checking/casting.
+class Float16 {
+ public:
+ explicit Float16(double dvalue);
+ Float16() : rawbits_(0x0) {}
+ friend uint16_t Float16ToRawbits(Float16 value);
+ friend Float16 RawbitsToFloat16(uint16_t bits);
+
+ protected:
+ uint16_t rawbits_;
+};
+
+// Floating point representation.
+uint16_t Float16ToRawbits(Float16 value);
+
+
+uint32_t FloatToRawbits(float value);
+VIXL_DEPRECATED("FloatToRawbits",
+ inline uint32_t float_to_rawbits(float value)) {
+ return FloatToRawbits(value);
+}
+
+uint64_t DoubleToRawbits(double value);
+VIXL_DEPRECATED("DoubleToRawbits",
+ inline uint64_t double_to_rawbits(double value)) {
+ return DoubleToRawbits(value);
+}
+
+Float16 RawbitsToFloat16(uint16_t bits);
+
+float RawbitsToFloat(uint32_t bits);
+VIXL_DEPRECATED("RawbitsToFloat",
+ inline float rawbits_to_float(uint32_t bits)) {
+ return RawbitsToFloat(bits);
+}
+
+double RawbitsToDouble(uint64_t bits);
+VIXL_DEPRECATED("RawbitsToDouble",
+ inline double rawbits_to_double(uint64_t bits)) {
+ return RawbitsToDouble(bits);
+}
+
+namespace internal {
+
+// Internal simulation class used solely by the simulator to
+// provide an abstraction layer for any half-precision arithmetic.
+class SimFloat16 : public Float16 {
+ public:
+ // TODO: We should investigate making this constructor explicit.
+ // This is currently difficult to do due to a number of templated
+ // functions in the simulator which rely on returning double values.
+ SimFloat16(double dvalue) : Float16(dvalue) {} // NOLINT(runtime/explicit)
+ SimFloat16(Float16 f) { // NOLINT(runtime/explicit)
+ this->rawbits_ = Float16ToRawbits(f);
+ }
+ SimFloat16() : Float16() {}
+ SimFloat16 operator-() const;
+ SimFloat16 operator+(SimFloat16 rhs) const;
+ SimFloat16 operator-(SimFloat16 rhs) const;
+ SimFloat16 operator*(SimFloat16 rhs) const;
+ SimFloat16 operator/(SimFloat16 rhs) const;
+ bool operator<(SimFloat16 rhs) const;
+ bool operator>(SimFloat16 rhs) const;
+ bool operator==(SimFloat16 rhs) const;
+ bool operator!=(SimFloat16 rhs) const;
+ // This is necessary for conversions peformed in (macro asm) Fmov.
+ bool operator==(double rhs) const;
+ operator double() const;
+};
+} // namespace internal
+
+uint32_t Float16Sign(internal::SimFloat16 value);
+
+uint32_t Float16Exp(internal::SimFloat16 value);
+
+uint32_t Float16Mantissa(internal::SimFloat16 value);
+
+uint32_t FloatSign(float value);
+VIXL_DEPRECATED("FloatSign", inline uint32_t float_sign(float value)) {
+ return FloatSign(value);
+}
+
+uint32_t FloatExp(float value);
+VIXL_DEPRECATED("FloatExp", inline uint32_t float_exp(float value)) {
+ return FloatExp(value);
+}
+
+uint32_t FloatMantissa(float value);
+VIXL_DEPRECATED("FloatMantissa", inline uint32_t float_mantissa(float value)) {
+ return FloatMantissa(value);
+}
+
+uint32_t DoubleSign(double value);
+VIXL_DEPRECATED("DoubleSign", inline uint32_t double_sign(double value)) {
+ return DoubleSign(value);
+}
+
+uint32_t DoubleExp(double value);
+VIXL_DEPRECATED("DoubleExp", inline uint32_t double_exp(double value)) {
+ return DoubleExp(value);
+}
+
+uint64_t DoubleMantissa(double value);
+VIXL_DEPRECATED("DoubleMantissa",
+ inline uint64_t double_mantissa(double value)) {
+ return DoubleMantissa(value);
+}
+
+internal::SimFloat16 Float16Pack(uint16_t sign,
+ uint16_t exp,
+ uint16_t mantissa);
+
+float FloatPack(uint32_t sign, uint32_t exp, uint32_t mantissa);
+VIXL_DEPRECATED("FloatPack",
+ inline float float_pack(uint32_t sign,
+ uint32_t exp,
+ uint32_t mantissa)) {
+ return FloatPack(sign, exp, mantissa);
+}
+
+double DoublePack(uint64_t sign, uint64_t exp, uint64_t mantissa);
+VIXL_DEPRECATED("DoublePack",
+ inline double double_pack(uint32_t sign,
+ uint32_t exp,
+ uint64_t mantissa)) {
+ return DoublePack(sign, exp, mantissa);
+}
+
+// An fpclassify() function for 16-bit half-precision floats.
+int Float16Classify(Float16 value);
+VIXL_DEPRECATED("Float16Classify", inline int float16classify(uint16_t value)) {
+ return Float16Classify(RawbitsToFloat16(value));
+}
+
+bool IsZero(Float16 value);
+
+inline bool IsNaN(float value) { return std::isnan(value); }
+
+inline bool IsNaN(double value) { return std::isnan(value); }
+
+inline bool IsNaN(Float16 value) { return Float16Classify(value) == FP_NAN; }
+
+inline bool IsInf(float value) { return std::isinf(value); }
+
+inline bool IsInf(double value) { return std::isinf(value); }
+
+inline bool IsInf(Float16 value) {
+ return Float16Classify(value) == FP_INFINITE;
+}
+
+
+// NaN tests.
+inline bool IsSignallingNaN(double num) {
+ const uint64_t kFP64QuietNaNMask = UINT64_C(0x0008000000000000);
+ uint64_t raw = DoubleToRawbits(num);
+ if (IsNaN(num) && ((raw & kFP64QuietNaNMask) == 0)) {
+ return true;
+ }
+ return false;
+}
+
+
+inline bool IsSignallingNaN(float num) {
+ const uint32_t kFP32QuietNaNMask = 0x00400000;
+ uint32_t raw = FloatToRawbits(num);
+ if (IsNaN(num) && ((raw & kFP32QuietNaNMask) == 0)) {
+ return true;
+ }
+ return false;
+}
+
+
+inline bool IsSignallingNaN(Float16 num) {
+ const uint16_t kFP16QuietNaNMask = 0x0200;
+ return IsNaN(num) && ((Float16ToRawbits(num) & kFP16QuietNaNMask) == 0);
+}
+
+
+template <typename T>
+inline bool IsQuietNaN(T num) {
+ return IsNaN(num) && !IsSignallingNaN(num);
+}
+
+
+// Convert the NaN in 'num' to a quiet NaN.
+inline double ToQuietNaN(double num) {
+ const uint64_t kFP64QuietNaNMask = UINT64_C(0x0008000000000000);
+ VIXL_ASSERT(IsNaN(num));
+ return RawbitsToDouble(DoubleToRawbits(num) | kFP64QuietNaNMask);
+}
+
+
+inline float ToQuietNaN(float num) {
+ const uint32_t kFP32QuietNaNMask = 0x00400000;
+ VIXL_ASSERT(IsNaN(num));
+ return RawbitsToFloat(FloatToRawbits(num) | kFP32QuietNaNMask);
+}
+
+
+inline internal::SimFloat16 ToQuietNaN(internal::SimFloat16 num) {
+ const uint16_t kFP16QuietNaNMask = 0x0200;
+ VIXL_ASSERT(IsNaN(num));
+ return internal::SimFloat16(
+ RawbitsToFloat16(Float16ToRawbits(num) | kFP16QuietNaNMask));
+}
+
+
+// Fused multiply-add.
+inline double FusedMultiplyAdd(double op1, double op2, double a) {
+ return fma(op1, op2, a);
+}
+
+
+inline float FusedMultiplyAdd(float op1, float op2, float a) {
+ return fmaf(op1, op2, a);
+}
+
+
+inline uint64_t LowestSetBit(uint64_t value) { return value & -value; }
+
+
+template <typename T>
+inline int HighestSetBitPosition(T value) {
+ VIXL_ASSERT(value != 0);
+ return (sizeof(value) * 8 - 1) - CountLeadingZeros(value);
+}
+
+
+template <typename V>
+inline int WhichPowerOf2(V value) {
+ VIXL_ASSERT(IsPowerOf2(value));
+ return CountTrailingZeros(value);
+}
+
+
+unsigned CountClearHalfWords(uint64_t imm, unsigned reg_size);
+
+
+int BitCount(uint64_t value);
+
+
+template <typename T>
+T ReverseBits(T value) {
+ VIXL_ASSERT((sizeof(value) == 1) || (sizeof(value) == 2) ||
+ (sizeof(value) == 4) || (sizeof(value) == 8));
+ T result = 0;
+ for (unsigned i = 0; i < (sizeof(value) * 8); i++) {
+ result = (result << 1) | (value & 1);
+ value >>= 1;
+ }
+ return result;
+}
+
+
+template <typename T>
+inline T SignExtend(T val, int bitSize) {
+ VIXL_ASSERT(bitSize > 0);
+ T mask = (T(2) << (bitSize - 1)) - T(1);
+ val &= mask;
+ T sign_bits = -((val >> (bitSize - 1)) << bitSize);
+ val |= sign_bits;
+ return val;
+}
+
+
+template <typename T>
+T ReverseBytes(T value, int block_bytes_log2) {
+ VIXL_ASSERT((sizeof(value) == 4) || (sizeof(value) == 8));
+ VIXL_ASSERT((1U << block_bytes_log2) <= sizeof(value));
+ // Split the 64-bit value into an 8-bit array, where b[0] is the least
+ // significant byte, and b[7] is the most significant.
+ uint8_t bytes[8];
+ uint64_t mask = UINT64_C(0xff00000000000000);
+ for (int i = 7; i >= 0; i--) {
+ bytes[i] = (static_cast<uint64_t>(value) & mask) >> (i * 8);
+ mask >>= 8;
+ }
+
+ // Permutation tables for REV instructions.
+ // permute_table[0] is used by REV16_x, REV16_w
+ // permute_table[1] is used by REV32_x, REV_w
+ // permute_table[2] is used by REV_x
+ VIXL_ASSERT((0 < block_bytes_log2) && (block_bytes_log2 < 4));
+ static const uint8_t permute_table[3][8] = {{6, 7, 4, 5, 2, 3, 0, 1},
+ {4, 5, 6, 7, 0, 1, 2, 3},
+ {0, 1, 2, 3, 4, 5, 6, 7}};
+ uint64_t temp = 0;
+ for (int i = 0; i < 8; i++) {
+ temp <<= 8;
+ temp |= bytes[permute_table[block_bytes_log2 - 1][i]];
+ }
+
+ T result;
+ VIXL_STATIC_ASSERT(sizeof(result) <= sizeof(temp));
+ memcpy(&result, &temp, sizeof(result));
+ return result;
+}
+
+template <unsigned MULTIPLE, typename T>
+inline bool IsMultiple(T value) {
+ VIXL_ASSERT(IsPowerOf2(MULTIPLE));
+ return (value & (MULTIPLE - 1)) == 0;
+}
+
+template <typename T>
+inline bool IsMultiple(T value, unsigned multiple) {
+ VIXL_ASSERT(IsPowerOf2(multiple));
+ return (value & (multiple - 1)) == 0;
+}
+
+template <typename T>
+inline bool IsAligned(T pointer, int alignment) {
+ VIXL_ASSERT(IsPowerOf2(alignment));
+ return (pointer & (alignment - 1)) == 0;
+}
+
+// Pointer alignment
+// TODO: rename/refactor to make it specific to instructions.
+template <unsigned ALIGN, typename T>
+inline bool IsAligned(T pointer) {
+ VIXL_ASSERT(sizeof(pointer) == sizeof(intptr_t)); // NOLINT(runtime/sizeof)
+ // Use C-style casts to get static_cast behaviour for integral types (T), and
+ // reinterpret_cast behaviour for other types.
+ return IsAligned((intptr_t)(pointer), ALIGN);
+}
+
+template <typename T>
+bool IsWordAligned(T pointer) {
+ return IsAligned<4>(pointer);
+}
+
+// Increment a pointer until it has the specified alignment. The alignment must
+// be a power of two.
+template <class T>
+T AlignUp(T pointer,
+ typename Unsigned<sizeof(T) * kBitsPerByte>::type alignment) {
+ VIXL_ASSERT(IsPowerOf2(alignment));
+ // Use C-style casts to get static_cast behaviour for integral types (T), and
+ // reinterpret_cast behaviour for other types.
+
+ typename Unsigned<sizeof(T)* kBitsPerByte>::type pointer_raw =
+ (typename Unsigned<sizeof(T) * kBitsPerByte>::type)pointer;
+ VIXL_STATIC_ASSERT(sizeof(pointer) <= sizeof(pointer_raw));
+
+ size_t mask = alignment - 1;
+ T result = (T)((pointer_raw + mask) & ~mask);
+ VIXL_ASSERT(result >= pointer);
+
+ return result;
+}
+
+// Decrement a pointer until it has the specified alignment. The alignment must
+// be a power of two.
+template <class T>
+T AlignDown(T pointer,
+ typename Unsigned<sizeof(T) * kBitsPerByte>::type alignment) {
+ VIXL_ASSERT(IsPowerOf2(alignment));
+ // Use C-style casts to get static_cast behaviour for integral types (T), and
+ // reinterpret_cast behaviour for other types.
+
+ typename Unsigned<sizeof(T)* kBitsPerByte>::type pointer_raw =
+ (typename Unsigned<sizeof(T) * kBitsPerByte>::type)pointer;
+ VIXL_STATIC_ASSERT(sizeof(pointer) <= sizeof(pointer_raw));
+
+ size_t mask = alignment - 1;
+ return (T)(pointer_raw & ~mask);
+}
+
+
+template <typename T>
+inline T ExtractBit(T value, unsigned bit) {
+ return (value >> bit) & T(1);
+}
+
+template <typename Ts, typename Td>
+inline Td ExtractBits(Ts value, int least_significant_bit, Td mask) {
+ return Td((value >> least_significant_bit) & Ts(mask));
+}
+
+template <typename Ts, typename Td>
+inline void AssignBit(Td& dst, // NOLINT(runtime/references)
+ int bit,
+ Ts value) {
+ VIXL_ASSERT((value == Ts(0)) || (value == Ts(1)));
+ VIXL_ASSERT(bit >= 0);
+ VIXL_ASSERT(bit < static_cast<int>(sizeof(Td) * 8));
+ Td mask(1);
+ dst &= ~(mask << bit);
+ dst |= Td(value) << bit;
+}
+
+template <typename Td, typename Ts>
+inline void AssignBits(Td& dst, // NOLINT(runtime/references)
+ int least_significant_bit,
+ Ts mask,
+ Ts value) {
+ VIXL_ASSERT(least_significant_bit >= 0);
+ VIXL_ASSERT(least_significant_bit < static_cast<int>(sizeof(Td) * 8));
+ VIXL_ASSERT(((Td(mask) << least_significant_bit) >> least_significant_bit) ==
+ Td(mask));
+ VIXL_ASSERT((value & mask) == value);
+ dst &= ~(Td(mask) << least_significant_bit);
+ dst |= Td(value) << least_significant_bit;
+}
+
+class VFP {
+ public:
+ static uint32_t FP32ToImm8(float imm) {
+ // bits: aBbb.bbbc.defg.h000.0000.0000.0000.0000
+ uint32_t bits = FloatToRawbits(imm);
+ // bit7: a000.0000
+ uint32_t bit7 = ((bits >> 31) & 0x1) << 7;
+ // bit6: 0b00.0000
+ uint32_t bit6 = ((bits >> 29) & 0x1) << 6;
+ // bit5_to_0: 00cd.efgh
+ uint32_t bit5_to_0 = (bits >> 19) & 0x3f;
+ return static_cast<uint32_t>(bit7 | bit6 | bit5_to_0);
+ }
+ static uint32_t FP64ToImm8(double imm) {
+ // bits: aBbb.bbbb.bbcd.efgh.0000.0000.0000.0000
+ // 0000.0000.0000.0000.0000.0000.0000.0000
+ uint64_t bits = DoubleToRawbits(imm);
+ // bit7: a000.0000
+ uint64_t bit7 = ((bits >> 63) & 0x1) << 7;
+ // bit6: 0b00.0000
+ uint64_t bit6 = ((bits >> 61) & 0x1) << 6;
+ // bit5_to_0: 00cd.efgh
+ uint64_t bit5_to_0 = (bits >> 48) & 0x3f;
+
+ return static_cast<uint32_t>(bit7 | bit6 | bit5_to_0);
+ }
+ static float Imm8ToFP32(uint32_t imm8) {
+ // Imm8: abcdefgh (8 bits)
+ // Single: aBbb.bbbc.defg.h000.0000.0000.0000.0000 (32 bits)
+ // where B is b ^ 1
+ uint32_t bits = imm8;
+ uint32_t bit7 = (bits >> 7) & 0x1;
+ uint32_t bit6 = (bits >> 6) & 0x1;
+ uint32_t bit5_to_0 = bits & 0x3f;
+ uint32_t result = (bit7 << 31) | ((32 - bit6) << 25) | (bit5_to_0 << 19);
+
+ return RawbitsToFloat(result);
+ }
+ static double Imm8ToFP64(uint32_t imm8) {
+ // Imm8: abcdefgh (8 bits)
+ // Double: aBbb.bbbb.bbcd.efgh.0000.0000.0000.0000
+ // 0000.0000.0000.0000.0000.0000.0000.0000 (64 bits)
+ // where B is b ^ 1
+ uint32_t bits = imm8;
+ uint64_t bit7 = (bits >> 7) & 0x1;
+ uint64_t bit6 = (bits >> 6) & 0x1;
+ uint64_t bit5_to_0 = bits & 0x3f;
+ uint64_t result = (bit7 << 63) | ((256 - bit6) << 54) | (bit5_to_0 << 48);
+ return RawbitsToDouble(result);
+ }
+ static bool IsImmFP32(float imm) {
+ // Valid values will have the form:
+ // aBbb.bbbc.defg.h000.0000.0000.0000.0000
+ uint32_t bits = FloatToRawbits(imm);
+ // bits[19..0] are cleared.
+ if ((bits & 0x7ffff) != 0) {
+ return false;
+ }
+
+
+ // bits[29..25] are all set or all cleared.
+ uint32_t b_pattern = (bits >> 16) & 0x3e00;
+ if (b_pattern != 0 && b_pattern != 0x3e00) {
+ return false;
+ }
+ // bit[30] and bit[29] are opposite.
+ if (((bits ^ (bits << 1)) & 0x40000000) == 0) {
+ return false;
+ }
+ return true;
+ }
+ static bool IsImmFP64(double imm) {
+ // Valid values will have the form:
+ // aBbb.bbbb.bbcd.efgh.0000.0000.0000.0000
+ // 0000.0000.0000.0000.0000.0000.0000.0000
+ uint64_t bits = DoubleToRawbits(imm);
+ // bits[47..0] are cleared.
+ if ((bits & 0x0000ffffffffffff) != 0) {
+ return false;
+ }
+ // bits[61..54] are all set or all cleared.
+ uint32_t b_pattern = (bits >> 48) & 0x3fc0;
+ if ((b_pattern != 0) && (b_pattern != 0x3fc0)) {
+ return false;
+ }
+ // bit[62] and bit[61] are opposite.
+ if (((bits ^ (bits << 1)) & (UINT64_C(1) << 62)) == 0) {
+ return false;
+ }
+ return true;
+ }
+};
+
+class BitField {
+ // ForEachBitHelper is a functor that will call
+ // bool ForEachBitHelper::execute(ElementType id) const
+ // and expects a boolean in return whether to continue (if true)
+ // or stop (if false)
+ // check_set will check if the bits are on (true) or off(false)
+ template <typename ForEachBitHelper, bool check_set>
+ bool ForEachBit(const ForEachBitHelper& helper) {
+ for (int i = 0; static_cast<size_t>(i) < bitfield_.size(); i++) {
+ if (bitfield_[i] == check_set)
+ if (!helper.execute(i)) return false;
+ }
+ return true;
+ }
+
+ public:
+ explicit BitField(unsigned size) : bitfield_(size, 0) {}
+
+ void Set(int i) {
+ VIXL_ASSERT((i >= 0) && (static_cast<size_t>(i) < bitfield_.size()));
+ bitfield_[i] = true;
+ }
+
+ void Unset(int i) {
+ VIXL_ASSERT((i >= 0) && (static_cast<size_t>(i) < bitfield_.size()));
+ bitfield_[i] = true;
+ }
+
+ bool IsSet(int i) const { return bitfield_[i]; }
+
+ // For each bit not set in the bitfield call the execute functor
+ // execute.
+ // ForEachBitSetHelper::execute returns true if the iteration through
+ // the bits can continue, otherwise it will stop.
+ // struct ForEachBitSetHelper {
+ // bool execute(int /*id*/) { return false; }
+ // };
+ template <typename ForEachBitNotSetHelper>
+ bool ForEachBitNotSet(const ForEachBitNotSetHelper& helper) {
+ return ForEachBit<ForEachBitNotSetHelper, false>(helper);
+ }
+
+ // For each bit set in the bitfield call the execute functor
+ // execute.
+ template <typename ForEachBitSetHelper>
+ bool ForEachBitSet(const ForEachBitSetHelper& helper) {
+ return ForEachBit<ForEachBitSetHelper, true>(helper);
+ }
+
+ private:
+ std::vector<bool> bitfield_;
+};
+
+namespace internal {
+
+typedef int64_t Int64;
+class Uint64;
+class Uint128;
+
+class Uint32 {
+ uint32_t data_;
+
+ public:
+ // Unlike uint32_t, Uint32 has a default constructor.
+ Uint32() { data_ = 0; }
+ explicit Uint32(uint32_t data) : data_(data) {}
+ inline explicit Uint32(Uint64 data);
+ uint32_t Get() const { return data_; }
+ template <int N>
+ int32_t GetSigned() const {
+ return ExtractSignedBitfield32(N - 1, 0, data_);
+ }
+ int32_t GetSigned() const { return data_; }
+ Uint32 operator~() const { return Uint32(~data_); }
+ Uint32 operator-() const { return Uint32(-data_); }
+ bool operator==(Uint32 value) const { return data_ == value.data_; }
+ bool operator!=(Uint32 value) const { return data_ != value.data_; }
+ bool operator>(Uint32 value) const { return data_ > value.data_; }
+ Uint32 operator+(Uint32 value) const { return Uint32(data_ + value.data_); }
+ Uint32 operator-(Uint32 value) const { return Uint32(data_ - value.data_); }
+ Uint32 operator&(Uint32 value) const { return Uint32(data_ & value.data_); }
+ Uint32 operator&=(Uint32 value) {
+ data_ &= value.data_;
+ return *this;
+ }
+ Uint32 operator^(Uint32 value) const { return Uint32(data_ ^ value.data_); }
+ Uint32 operator^=(Uint32 value) {
+ data_ ^= value.data_;
+ return *this;
+ }
+ Uint32 operator|(Uint32 value) const { return Uint32(data_ | value.data_); }
+ Uint32 operator|=(Uint32 value) {
+ data_ |= value.data_;
+ return *this;
+ }
+ // Unlike uint32_t, the shift functions can accept negative shift and
+ // return 0 when the shift is too big.
+ Uint32 operator>>(int shift) const {
+ if (shift == 0) return *this;
+ if (shift < 0) {
+ int tmp = -shift;
+ if (tmp >= 32) return Uint32(0);
+ return Uint32(data_ << tmp);
+ }
+ int tmp = shift;
+ if (tmp >= 32) return Uint32(0);
+ return Uint32(data_ >> tmp);
+ }
+ Uint32 operator<<(int shift) const {
+ if (shift == 0) return *this;
+ if (shift < 0) {
+ int tmp = -shift;
+ if (tmp >= 32) return Uint32(0);
+ return Uint32(data_ >> tmp);
+ }
+ int tmp = shift;
+ if (tmp >= 32) return Uint32(0);
+ return Uint32(data_ << tmp);
+ }
+};
+
+class Uint64 {
+ uint64_t data_;
+
+ public:
+ // Unlike uint64_t, Uint64 has a default constructor.
+ Uint64() { data_ = 0; }
+ explicit Uint64(uint64_t data) : data_(data) {}
+ explicit Uint64(Uint32 data) : data_(data.Get()) {}
+ inline explicit Uint64(Uint128 data);
+ uint64_t Get() const { return data_; }
+ int64_t GetSigned(int N) const {
+ return ExtractSignedBitfield64(N - 1, 0, data_);
+ }
+ int64_t GetSigned() const { return data_; }
+ Uint32 ToUint32() const {
+ VIXL_ASSERT((data_ >> 32) == 0);
+ return Uint32(static_cast<uint32_t>(data_));
+ }
+ Uint32 GetHigh32() const { return Uint32(data_ >> 32); }
+ Uint32 GetLow32() const { return Uint32(data_ & 0xffffffff); }
+ Uint64 operator~() const { return Uint64(~data_); }
+ Uint64 operator-() const { return Uint64(-data_); }
+ bool operator==(Uint64 value) const { return data_ == value.data_; }
+ bool operator!=(Uint64 value) const { return data_ != value.data_; }
+ Uint64 operator+(Uint64 value) const { return Uint64(data_ + value.data_); }
+ Uint64 operator-(Uint64 value) const { return Uint64(data_ - value.data_); }
+ Uint64 operator&(Uint64 value) const { return Uint64(data_ & value.data_); }
+ Uint64 operator&=(Uint64 value) {
+ data_ &= value.data_;
+ return *this;
+ }
+ Uint64 operator^(Uint64 value) const { return Uint64(data_ ^ value.data_); }
+ Uint64 operator^=(Uint64 value) {
+ data_ ^= value.data_;
+ return *this;
+ }
+ Uint64 operator|(Uint64 value) const { return Uint64(data_ | value.data_); }
+ Uint64 operator|=(Uint64 value) {
+ data_ |= value.data_;
+ return *this;
+ }
+ // Unlike uint64_t, the shift functions can accept negative shift and
+ // return 0 when the shift is too big.
+ Uint64 operator>>(int shift) const {
+ if (shift == 0) return *this;
+ if (shift < 0) {
+ int tmp = -shift;
+ if (tmp >= 64) return Uint64(0);
+ return Uint64(data_ << tmp);
+ }
+ int tmp = shift;
+ if (tmp >= 64) return Uint64(0);
+ return Uint64(data_ >> tmp);
+ }
+ Uint64 operator<<(int shift) const {
+ if (shift == 0) return *this;
+ if (shift < 0) {
+ int tmp = -shift;
+ if (tmp >= 64) return Uint64(0);
+ return Uint64(data_ >> tmp);
+ }
+ int tmp = shift;
+ if (tmp >= 64) return Uint64(0);
+ return Uint64(data_ << tmp);
+ }
+};
+
+class Uint128 {
+ uint64_t data_high_;
+ uint64_t data_low_;
+
+ public:
+ Uint128() : data_high_(0), data_low_(0) {}
+ explicit Uint128(uint64_t data_low) : data_high_(0), data_low_(data_low) {}
+ explicit Uint128(Uint64 data_low)
+ : data_high_(0), data_low_(data_low.Get()) {}
+ Uint128(uint64_t data_high, uint64_t data_low)
+ : data_high_(data_high), data_low_(data_low) {}
+ Uint64 ToUint64() const {
+ VIXL_ASSERT(data_high_ == 0);
+ return Uint64(data_low_);
+ }
+ Uint64 GetHigh64() const { return Uint64(data_high_); }
+ Uint64 GetLow64() const { return Uint64(data_low_); }
+ Uint128 operator~() const { return Uint128(~data_high_, ~data_low_); }
+ bool operator==(Uint128 value) const {
+ return (data_high_ == value.data_high_) && (data_low_ == value.data_low_);
+ }
+ Uint128 operator&(Uint128 value) const {
+ return Uint128(data_high_ & value.data_high_, data_low_ & value.data_low_);
+ }
+ Uint128 operator&=(Uint128 value) {
+ data_high_ &= value.data_high_;
+ data_low_ &= value.data_low_;
+ return *this;
+ }
+ Uint128 operator|=(Uint128 value) {
+ data_high_ |= value.data_high_;
+ data_low_ |= value.data_low_;
+ return *this;
+ }
+ Uint128 operator>>(int shift) const {
+ VIXL_ASSERT((shift >= 0) && (shift < 128));
+ if (shift == 0) return *this;
+ if (shift >= 64) {
+ return Uint128(0, data_high_ >> (shift - 64));
+ }
+ uint64_t tmp = (data_high_ << (64 - shift)) | (data_low_ >> shift);
+ return Uint128(data_high_ >> shift, tmp);
+ }
+ Uint128 operator<<(int shift) const {
+ VIXL_ASSERT((shift >= 0) && (shift < 128));
+ if (shift == 0) return *this;
+ if (shift >= 64) {
+ return Uint128(data_low_ << (shift - 64), 0);
+ }
+ uint64_t tmp = (data_high_ << shift) | (data_low_ >> (64 - shift));
+ return Uint128(tmp, data_low_ << shift);
+ }
+};
+
+Uint32::Uint32(Uint64 data) : data_(data.ToUint32().Get()) {}
+Uint64::Uint64(Uint128 data) : data_(data.ToUint64().Get()) {}
+
+Int64 BitCount(Uint32 value);
+
+} // namespace internal
+
+// The default NaN values (for FPCR.DN=1).
+extern const double kFP64DefaultNaN;
+extern const float kFP32DefaultNaN;
+extern const Float16 kFP16DefaultNaN;
+
+// Floating-point infinity values.
+extern const Float16 kFP16PositiveInfinity;
+extern const Float16 kFP16NegativeInfinity;
+extern const float kFP32PositiveInfinity;
+extern const float kFP32NegativeInfinity;
+extern const double kFP64PositiveInfinity;
+extern const double kFP64NegativeInfinity;
+
+// Floating-point zero values.
+extern const Float16 kFP16PositiveZero;
+extern const Float16 kFP16NegativeZero;
+
+// AArch64 floating-point specifics. These match IEEE-754.
+const unsigned kDoubleMantissaBits = 52;
+const unsigned kDoubleExponentBits = 11;
+const unsigned kFloatMantissaBits = 23;
+const unsigned kFloatExponentBits = 8;
+const unsigned kFloat16MantissaBits = 10;
+const unsigned kFloat16ExponentBits = 5;
+
+enum FPRounding {
+ // The first four values are encodable directly by FPCR<RMode>.
+ FPTieEven = 0x0,
+ FPPositiveInfinity = 0x1,
+ FPNegativeInfinity = 0x2,
+ FPZero = 0x3,
+
+ // The final rounding modes are only available when explicitly specified by
+ // the instruction (such as with fcvta). It cannot be set in FPCR.
+ FPTieAway,
+ FPRoundOdd
+};
+
+enum UseDefaultNaN { kUseDefaultNaN, kIgnoreDefaultNaN };
+
+// Assemble the specified IEEE-754 components into the target type and apply
+// appropriate rounding.
+// sign: 0 = positive, 1 = negative
+// exponent: Unbiased IEEE-754 exponent.
+// mantissa: The mantissa of the input. The top bit (which is not encoded for
+// normal IEEE-754 values) must not be omitted. This bit has the
+// value 'pow(2, exponent)'.
+//
+// The input value is assumed to be a normalized value. That is, the input may
+// not be infinity or NaN. If the source value is subnormal, it must be
+// normalized before calling this function such that the highest set bit in the
+// mantissa has the value 'pow(2, exponent)'.
+//
+// Callers should use FPRoundToFloat or FPRoundToDouble directly, rather than
+// calling a templated FPRound.
+template <class T, int ebits, int mbits>
+T FPRound(int64_t sign,
+ int64_t exponent,
+ uint64_t mantissa,
+ FPRounding round_mode) {
+ VIXL_ASSERT((sign == 0) || (sign == 1));
+
+ // Only FPTieEven and FPRoundOdd rounding modes are implemented.
+ VIXL_ASSERT((round_mode == FPTieEven) || (round_mode == FPRoundOdd));
+
+ // Rounding can promote subnormals to normals, and normals to infinities. For
+ // example, a double with exponent 127 (FLT_MAX_EXP) would appear to be
+ // encodable as a float, but rounding based on the low-order mantissa bits
+ // could make it overflow. With ties-to-even rounding, this value would become
+ // an infinity.
+
+ // ---- Rounding Method ----
+ //
+ // The exponent is irrelevant in the rounding operation, so we treat the
+ // lowest-order bit that will fit into the result ('onebit') as having
+ // the value '1'. Similarly, the highest-order bit that won't fit into
+ // the result ('halfbit') has the value '0.5'. The 'point' sits between
+ // 'onebit' and 'halfbit':
+ //
+ // These bits fit into the result.
+ // |---------------------|
+ // mantissa = 0bxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
+ // ||
+ // / |
+ // / halfbit
+ // onebit
+ //
+ // For subnormal outputs, the range of representable bits is smaller and
+ // the position of onebit and halfbit depends on the exponent of the
+ // input, but the method is otherwise similar.
+ //
+ // onebit(frac)
+ // |
+ // | halfbit(frac) halfbit(adjusted)
+ // | / /
+ // | | |
+ // 0b00.0 (exact) -> 0b00.0 (exact) -> 0b00
+ // 0b00.0... -> 0b00.0... -> 0b00
+ // 0b00.1 (exact) -> 0b00.0111..111 -> 0b00
+ // 0b00.1... -> 0b00.1... -> 0b01
+ // 0b01.0 (exact) -> 0b01.0 (exact) -> 0b01
+ // 0b01.0... -> 0b01.0... -> 0b01
+ // 0b01.1 (exact) -> 0b01.1 (exact) -> 0b10
+ // 0b01.1... -> 0b01.1... -> 0b10
+ // 0b10.0 (exact) -> 0b10.0 (exact) -> 0b10
+ // 0b10.0... -> 0b10.0... -> 0b10
+ // 0b10.1 (exact) -> 0b10.0111..111 -> 0b10
+ // 0b10.1... -> 0b10.1... -> 0b11
+ // 0b11.0 (exact) -> 0b11.0 (exact) -> 0b11
+ // ... / | / |
+ // / | / |
+ // / |
+ // adjusted = frac - (halfbit(mantissa) & ~onebit(frac)); / |
+ //
+ // mantissa = (mantissa >> shift) + halfbit(adjusted);
+
+ static const int mantissa_offset = 0;
+ static const int exponent_offset = mantissa_offset + mbits;
+ static const int sign_offset = exponent_offset + ebits;
+ VIXL_ASSERT(sign_offset == (sizeof(T) * 8 - 1));
+
+ // Bail out early for zero inputs.
+ if (mantissa == 0) {
+ return static_cast<T>(sign << sign_offset);
+ }
+
+ // If all bits in the exponent are set, the value is infinite or NaN.
+ // This is true for all binary IEEE-754 formats.
+ static const int infinite_exponent = (1 << ebits) - 1;
+ static const int max_normal_exponent = infinite_exponent - 1;
+
+ // Apply the exponent bias to encode it for the result. Doing this early makes
+ // it easy to detect values that will be infinite or subnormal.
+ exponent += max_normal_exponent >> 1;
+
+ if (exponent > max_normal_exponent) {
+ // Overflow: the input is too large for the result type to represent.
+ if (round_mode == FPTieEven) {
+ // FPTieEven rounding mode handles overflows using infinities.
+ exponent = infinite_exponent;
+ mantissa = 0;
+ } else {
+ VIXL_ASSERT(round_mode == FPRoundOdd);
+ // FPRoundOdd rounding mode handles overflows using the largest magnitude
+ // normal number.
+ exponent = max_normal_exponent;
+ mantissa = (UINT64_C(1) << exponent_offset) - 1;
+ }
+ return static_cast<T>((sign << sign_offset) |
+ (exponent << exponent_offset) |
+ (mantissa << mantissa_offset));
+ }
+
+ // Calculate the shift required to move the top mantissa bit to the proper
+ // place in the destination type.
+ const int highest_significant_bit = 63 - CountLeadingZeros(mantissa);
+ int shift = highest_significant_bit - mbits;
+
+ if (exponent <= 0) {
+ // The output will be subnormal (before rounding).
+ // For subnormal outputs, the shift must be adjusted by the exponent. The +1
+ // is necessary because the exponent of a subnormal value (encoded as 0) is
+ // the same as the exponent of the smallest normal value (encoded as 1).
+ shift += -exponent + 1;
+
+ // Handle inputs that would produce a zero output.
+ //
+ // Shifts higher than highest_significant_bit+1 will always produce a zero
+ // result. A shift of exactly highest_significant_bit+1 might produce a
+ // non-zero result after rounding.
+ if (shift > (highest_significant_bit + 1)) {
+ if (round_mode == FPTieEven) {
+ // The result will always be +/-0.0.
+ return static_cast<T>(sign << sign_offset);
+ } else {
+ VIXL_ASSERT(round_mode == FPRoundOdd);
+ VIXL_ASSERT(mantissa != 0);
+ // For FPRoundOdd, if the mantissa is too small to represent and
+ // non-zero return the next "odd" value.
+ return static_cast<T>((sign << sign_offset) | 1);
+ }
+ }
+
+ // Properly encode the exponent for a subnormal output.
+ exponent = 0;
+ } else {
+ // Clear the topmost mantissa bit, since this is not encoded in IEEE-754
+ // normal values.
+ mantissa &= ~(UINT64_C(1) << highest_significant_bit);
+ }
+
+ // The casts below are only well-defined for unsigned integers.
+ VIXL_STATIC_ASSERT(std::numeric_limits<T>::is_integer);
+ VIXL_STATIC_ASSERT(!std::numeric_limits<T>::is_signed);
+
+ if (shift > 0) {
+ if (round_mode == FPTieEven) {
+ // We have to shift the mantissa to the right. Some precision is lost, so
+ // we need to apply rounding.
+ uint64_t onebit_mantissa = (mantissa >> (shift)) & 1;
+ uint64_t halfbit_mantissa = (mantissa >> (shift - 1)) & 1;
+ uint64_t adjustment = (halfbit_mantissa & ~onebit_mantissa);
+ uint64_t adjusted = mantissa - adjustment;
+ T halfbit_adjusted = (adjusted >> (shift - 1)) & 1;
+
+ T result =
+ static_cast<T>((sign << sign_offset) | (exponent << exponent_offset) |
+ ((mantissa >> shift) << mantissa_offset));
+
+ // A very large mantissa can overflow during rounding. If this happens,
+ // the exponent should be incremented and the mantissa set to 1.0
+ // (encoded as 0). Applying halfbit_adjusted after assembling the float
+ // has the nice side-effect that this case is handled for free.
+ //
+ // This also handles cases where a very large finite value overflows to
+ // infinity, or where a very large subnormal value overflows to become
+ // normal.
+ return result + halfbit_adjusted;
+ } else {
+ VIXL_ASSERT(round_mode == FPRoundOdd);
+ // If any bits at position halfbit or below are set, onebit (ie. the
+ // bottom bit of the resulting mantissa) must be set.
+ uint64_t fractional_bits = mantissa & ((UINT64_C(1) << shift) - 1);
+ if (fractional_bits != 0) {
+ mantissa |= UINT64_C(1) << shift;
+ }
+
+ return static_cast<T>((sign << sign_offset) |
+ (exponent << exponent_offset) |
+ ((mantissa >> shift) << mantissa_offset));
+ }
+ } else {
+ // We have to shift the mantissa to the left (or not at all). The input
+ // mantissa is exactly representable in the output mantissa, so apply no
+ // rounding correction.
+ return static_cast<T>((sign << sign_offset) |
+ (exponent << exponent_offset) |
+ ((mantissa << -shift) << mantissa_offset));
+ }
+}
+
+
+// See FPRound for a description of this function.
+inline double FPRoundToDouble(int64_t sign,
+ int64_t exponent,
+ uint64_t mantissa,
+ FPRounding round_mode) {
+ uint64_t bits =
+ FPRound<uint64_t, kDoubleExponentBits, kDoubleMantissaBits>(sign,
+ exponent,
+ mantissa,
+ round_mode);
+ return RawbitsToDouble(bits);
+}
+
+
+// See FPRound for a description of this function.
+inline Float16 FPRoundToFloat16(int64_t sign,
+ int64_t exponent,
+ uint64_t mantissa,
+ FPRounding round_mode) {
+ return RawbitsToFloat16(
+ FPRound<uint16_t,
+ kFloat16ExponentBits,
+ kFloat16MantissaBits>(sign, exponent, mantissa, round_mode));
+}
+
+
+// See FPRound for a description of this function.
+static inline float FPRoundToFloat(int64_t sign,
+ int64_t exponent,
+ uint64_t mantissa,
+ FPRounding round_mode) {
+ uint32_t bits =
+ FPRound<uint32_t, kFloatExponentBits, kFloatMantissaBits>(sign,
+ exponent,
+ mantissa,
+ round_mode);
+ return RawbitsToFloat(bits);
+}
+
+
+float FPToFloat(Float16 value, UseDefaultNaN DN, bool* exception = NULL);
+float FPToFloat(double value,
+ FPRounding round_mode,
+ UseDefaultNaN DN,
+ bool* exception = NULL);
+
+double FPToDouble(Float16 value, UseDefaultNaN DN, bool* exception = NULL);
+double FPToDouble(float value, UseDefaultNaN DN, bool* exception = NULL);
+
+Float16 FPToFloat16(float value,
+ FPRounding round_mode,
+ UseDefaultNaN DN,
+ bool* exception = NULL);
+
+Float16 FPToFloat16(double value,
+ FPRounding round_mode,
+ UseDefaultNaN DN,
+ bool* exception = NULL);
+} // namespace vixl
+
+#endif // VIXL_UTILS_H