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ArmAsm

//===-- fixunsdfdi.S - double-precision FP to 64-bit unsigned int conversion==//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//
//
// This file implements the __fixunsdfdi function (double precision floating
// point to 64-bit unsigned integer conversion), with the C rounding semantics
// (rounding towards zero), for the Arm and Thumb2 ISAs.
//
//===----------------------------------------------------------------------===//
#include "../assembly.h"
#include "crt_endian.h"
.syntax unified
.text
.p2align 2
#if __ARM_PCS_VFP
DEFINE_COMPILERRT_FUNCTION(__fixunsdfdi)
push {r4, lr}
VMOV_FROM_DOUBLE(r0, r1, d0)
bl __aeabi_d2ulz
pop {r4, pc}
#else
DEFINE_COMPILERRT_FUNCTION_ALIAS(__fixunsdfdi, __aeabi_d2ulz)
#endif
DEFINE_COMPILERRT_FUNCTION(__aeabi_d2ulz)
// The fast path: deliver an answer as quickly as possible for positive cases
// that don't overflow, and branch out of line to handle everything else more
// slowly, including negative numbers, overflows, and NaNs.
//
// The basic idea is to make a bare version of the mantissa, with its leading
// 1 bit explicit at the top of the word, and shift it right by an amount
// derived from the exponent.
// Shift the exponent down to the bottom of the word. We keep the sign bit,
// which will cause negative inputs to be treated like positive numbers with
// extra-enormous exponent. This is good enough to trigger a branch out of
// line later without needing an extra instruction, and then we can handle
// negative inputs properly after that branch.
asrs r2, xh, #20
// Make the 64-bit mantissa word, with its top half in r3 and the bottom half
// in r12, and set the leading mantissa bit at the top of r3.
//
// (In principle, the leading mantissa bit shouldn't be set at all if the
// input exponent is zero, because then the input is either 0 or a denormal.
// But since we're always rounding towards zero and not delivering any output
// indicating whether the result is inexact, it makes no difference - all
// denormals will round down to 0 anyway, and will still do so even if we
// imagine that their leading mantissa bit was set.)
lsl r3, xh, #11 // shift top word left to discard sign+exponent
orr r3, r3, xl, lsr #21 // combine with bits from bottom word
orr r3, r3, #(1 << 31) // set the leading bit
lsl r12, xl, #11 // shift bottom word left
// Convert the mantissa into a right shift count, indicating how many bits we
// want to shift the 64-bit mantissa in r3:r12 right by.
//
// If that's negative, that means the input is too big, or the exponent is
// 0x7FF (so we might have a NaN), or the value in r2 was 0x800 or more
// because the input was negative, so branch out of line again.
//
// Another possibility is that if the number is very small, the right shift
// count might not fit in a byte, in which case the AArch32 shift semantics
// might do the wrong thing, since they only look at the low byte.
//
// To spot this efficiently, we do the conversion in two steps, arranged so
// that the first step detects massive underflow and the second detects
// overflow. We needed two steps anyway, because we need to subtract the
// input exponent from 0x43e (the exponent of input numbers between 2^63 and
// 2^64), and that value doesn't fit in an immediate field. So the first step
// subtracts 0x340, which makes r2 become negative if the exponent is very
// small; then the second step subtracts from 0xfe, giving 0xfe-(exp-0x340))
// = 0x43e-exp.
//
// The input is tiny if r2 is negative after the first subtraction. In that
// situation we set r2 to 0 before the second step, treating all exponents
// smaller than 0x340 as if they had been 0x340. We do this by ASR+BIC, which
// avoids needing an IT instruction in Thumb.
sub r2, r2, #0x340 // first stage: r2 is negative for underflow
bic r2, r2, r2, asr #31 // if so, saturate by clearing all bits of r2
rsbs r2, r2, #0xfe // second step: r2 is now the right shift count
blt LOCAL_LABEL(uncommon) // if it was negative, overflow
// Make the top word of the result, which is the easy part: it's a
// shifted-right version of the top word of the mantissa, which will be zero
// if the shift count is 32 or more.
lsrs xh, r3, r2
// Make the bottom word of the result. If the shift count is less than 32,
// this will be (ml >> n) | (mh << (32-n)), where 'mh' and 'ml' denote the
// high and low words of the mantissa (in r3 and r12 respectively). Otherwise
// the whole high output word is zero, and the low mantissa word contributes
// nothing to the output, so we just need mh >> (n-32).
lsr xl, r12, r2 // start by setting it to ml >> n
rsbs r2, r2, #32 // compute 32-n, and find which case we're in
#if __thumb__
// In Thumb we must separate the register-controlled shift and the OR into
// two instructions.
lslhi r3, r3, r2
orrhi xl, xl, r3
#else
orrhi xl, xl, r3, lsl r2 // shift count < 32, so OR in ml << (32-n)
#endif
rsbls r2, r2, #0 // shift count > 32, so compute n-32
lsrls xl, r3, r2 // replace xl with mh >> (n-32)
// We're done: the result is already rounded towards zero.
bx lr
LOCAL_LABEL(uncommon):
// We come here if the exponent field of the number is either too large or
// too small, or if the sign bit is set, so that the number is one of
// - a NaN
// - an infinity
// - a positive finite number of absolute value at least 2^31
// - any negative number at all.
// Test the sign bit first, and branch out of line for positive values, on
// the theory that reasonably sensible negative values (like -0.5) are more
// likely than the overflow, infinity or NaN cases, and want to be handled as
// quickly as possible.
tst xh, xh
bpl LOCAL_LABEL(positive_invalid)
// Now we have either a negative finite value, -inf, or a NaN (with the sign
// bit set). Conveniently, _all_ of those just return 0, so we don't have to
// bother checking which.
//
// If we were reporting exceptions, then inputs in the range (-1,0] would
// _legally_ return 0 (after rounding toward zero), whereas -1 and below
// would raise the IEEE Invalid Operation exception.
LOCAL_LABEL(return_zero):
movs xh, #0
movs xl, #0
bx lr
LOCAL_LABEL(positive_invalid):
// Here we have a positive value causing an invalid operation exception. If
// it's a NaN, we return zero; otherwise we return UINT_MAX.
cmp xl, #1 // set C if any bit of xl is nonzero
adc r2, xh, xh // shift that bit into xh, discarding sign
cmn r2, #(1 << 21) // then greater than 0xFFE00000 means NaN
bhi LOCAL_LABEL(return_zero) // so we go back to the case above
mov xh, #0xFFFFFFFF
mov xl, #0xFFFFFFFF
bx lr
END_COMPILERRT_FUNCTION(__aeabi_d2ulz)
#if defined(__MINGW32__)
DEFINE_COMPILERRT_FUNCTION_ALIAS(__dtou64, __fixunsdfdi)
#endif
NO_EXEC_STACK_DIRECTIVE