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|
; $Id: sin.asm $
;; @file
; IPRT - No-CRT sin - AMD64 & X86.
;
;
; Copyright (C) 2006-2023 Oracle and/or its affiliates.
;
; This file is part of VirtualBox base platform packages, as
; available from https://www.virtualbox.org.
;
; This program is free software; you can redistribute it and/or
; modify it under the terms of the GNU General Public License
; as published by the Free Software Foundation, in version 3 of the
; License.
;
; This program is distributed in the hope that it will be useful, but
; WITHOUT ANY WARRANTY; without even the implied warranty of
; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
; General Public License for more details.
;
; You should have received a copy of the GNU General Public License
; along with this program; if not, see <https://www.gnu.org/licenses>.
;
; The contents of this file may alternatively be used under the terms
; of the Common Development and Distribution License Version 1.0
; (CDDL), a copy of it is provided in the "COPYING.CDDL" file included
; in the VirtualBox distribution, in which case the provisions of the
; CDDL are applicable instead of those of the GPL.
;
; You may elect to license modified versions of this file under the
; terms and conditions of either the GPL or the CDDL or both.
;
; SPDX-License-Identifier: GPL-3.0-only OR CDDL-1.0
;
%define RT_ASM_WITH_SEH64
%include "iprt/asmdefs.mac"
%include "iprt/x86.mac"
BEGINCODE
;;
; Compute the sine of rf, measured in radians.
;
; @returns st(0) / xmm0
; @param rf [rbp + xCB*2] / xmm0
;
RT_NOCRT_BEGINPROC sin
push xBP
SEH64_PUSH_xBP
mov xBP, xSP
SEH64_SET_FRAME_xBP 0
sub xSP, 20h
SEH64_ALLOCATE_STACK 20h
SEH64_END_PROLOGUE
%ifdef RT_OS_WINDOWS
;
; Make sure we use full precision and not the windows default of 53 bits.
;
fnstcw [xBP - 20h]
mov ax, [xBP - 20h]
or ax, X86_FCW_PC_64 ; includes both bits, so no need to clear the mask.
mov [xBP - 1ch], ax
fldcw [xBP - 1ch]
%endif
;
; Load the input into st0.
;
%ifdef RT_ARCH_AMD64
movsd [xBP - 10h], xmm0
fld qword [xBP - 10h]
%else
fld qword [xBP + xCB*2]
%endif
;
; We examin the input and weed out non-finit numbers first.
;
fxam
fnstsw ax
and ax, X86_FSW_C3 | X86_FSW_C2 | X86_FSW_C0
cmp ax, X86_FSW_C2 ; Normal finite number (excluding zero)
je .finite
cmp ax, X86_FSW_C3 ; Zero
je .zero
cmp ax, X86_FSW_C3 | X86_FSW_C2 ; Denormals - treat them as zero.
je .zero
cmp ax, X86_FSW_C0 ; NaN - must handle it special,
je .nan
; Pass infinities and unsupported inputs to fsin, assuming it does the right thing.
.do_sin:
fsin
jmp .return_val
;
; Finite number.
;
.finite:
; For very tiny numbers, 0 < abs(input) < 2**-25, we can return the
; input value directly.
fld st0 ; duplicate st0
fabs ; make it an absolute (positive) value.
fld qword [.s_r64Tiny xWrtRIP]
fcomip st1 ; compare s_r64Tiny and fabs(input)
ja .return_tiny_number_as_is ; jump if fabs(input) is smaller
; FSIN is documented to be reasonable for the range ]-3pi/4,3pi/4[, so
; while we have fabs(input) loaded already, check for that here and
; allow rtNoCrtMathSinCore to assume it won't see values very close to
; zero, except by cos -> sin conversion where they won't be relevant to
; any assumpttions about precision approximation.
fld qword [.s_r64FSinOkay xWrtRIP]
fcomip st1
ffreep st0 ; drop the fabs(input) value
ja .do_sin
;
; Call common sine/cos worker.
;
mov ecx, 1 ; double
extern NAME(rtNoCrtMathSinCore)
call NAME(rtNoCrtMathSinCore)
;
; Run st0.
;
.return_val:
%ifdef RT_ARCH_AMD64
fstp qword [xBP - 10h]
movsd xmm0, [xBP - 10h]
%endif
%ifdef RT_OS_WINDOWS
fldcw [xBP - 20h] ; restore original
%endif
.return:
leave
ret
;
; As explained already, we can return tiny numbers directly too as the
; output from sin(input) = input given our precision.
; We can skip the st0 -> xmm0 translation here, so follow the same path
; as .zero & .nan, after we've removed the fabs(input) value.
;
.return_tiny_number_as_is:
ffreep st0
;
; sin(+/-0.0) = +/-0.0 (preserve the sign)
; We can skip the st0 -> xmm0 translation here, so follow the .nan code path.
;
.zero:
;
; Input is NaN, output it unmodified as far as we can (FLD changes SNaN
; to QNaN when masked).
;
.nan:
%ifdef RT_ARCH_AMD64
ffreep st0
%endif
jmp .return
ALIGNCODE(8)
; Ca. 2**-17, absolute value. Inputs closer to zero than this can be
; returns directly as the sin(input) value should be basically the same
; given the precision we're working with and FSIN probably won't even
; manage that.
;; @todo experiment when FSIN gets better than this.
.s_r64Tiny:
dq 0.00000762939453125
; The absolute limit of FSIN "good" range.
.s_r64FSinOkay:
dq 2.356194490192344928845 ; 3pi/4
;dq 1.57079632679489661923 ; pi/2 - alternative.
ENDPROC RT_NOCRT(sin)
|
