/* Function sinhf vectorized with SSE4.
   Copyright (C) 2021-2022 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library 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
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   https://www.gnu.org/licenses/.  */

/*
 * ALGORITHM DESCRIPTION:
 *
 *   Compute sinh(x) as (exp(x)-exp(-x))/2,
 *   where exp is calculated as
 *   exp(M*ln2 + ln2*(j/2^k) + r) = 2^M * 2^(j/2^k) * exp(r)
 *
 *   Special cases:
 *
 *   sinh(NaN) = quiet NaN, and raise invalid exception
 *   sinh(INF) = that INF
 *   sinh(x)   = x for subnormals
 *   sinh(x) overflows for big x and returns MAXLOG+log(2)
 *
 */

/* Offsets for data table __svml_ssinh_data_internal
 */
#define _sInvLn2                      	0
#define _sLn2hi                       	16
#define _sLn2lo                       	32
#define _sSign                        	48
#define _sShifter                     	64
#define _iDomainRange                 	80
#define _sPC1                         	96
#define _sPC2                         	112
#define _sPC3                         	128
#define _sPC4                         	144
#define _sPC5                         	160
#define _sPC6                         	176
#define _iHalf                        	192

#include <sysdep.h>

        .text
	.section .text.sse4,"ax",@progbits
ENTRY(_ZGVbN4v_sinhf_sse4)
        subq      $72, %rsp
        cfi_def_cfa_offset(80)

/*
 *  Implementation
 *  Abs argument
 */
        movups    _sSign+__svml_ssinh_data_internal(%rip), %xmm14
        andps     %xmm0, %xmm14
        movaps    %xmm14, %xmm10

/*
 *  Load argument
 * dM = x/log(2) + RShifter
 */
        movups    _sInvLn2+__svml_ssinh_data_internal(%rip), %xmm7
        pxor      %xmm0, %xmm10
        mulps     %xmm10, %xmm7

/*
 * Check for overflow\underflow
 * MORE faster than GE?
 */
        movaps    %xmm10, %xmm1
        movups    _sShifter+__svml_ssinh_data_internal(%rip), %xmm2

/* sR = sX - sN*Log2_hi */
        movups    _sLn2hi+__svml_ssinh_data_internal(%rip), %xmm3
        addps     %xmm2, %xmm7

/*
 *  R
 * sN = sM - RShifter
 */
        movaps    %xmm7, %xmm4

/*
 *  G1,G2 2^N,2^(-N)
 * iM now is an EXP(2^N)
 */
        pslld     $23, %xmm7

/* sR = (sX - sN*Log2_hi) - sN*Log2_lo */
        movups    _sLn2lo+__svml_ssinh_data_internal(%rip), %xmm5
        subps     %xmm2, %xmm4
        mulps     %xmm4, %xmm3
        mulps     %xmm4, %xmm5
        subps     %xmm3, %xmm10

/*
 * sinh(r) = r*((a1=1)+r^2*(a3+r^2*(a5+{v1 r^2*a7})))) = r + r*(r^2*(a3+r^2*(a5+r^2*a7))) ....
 * sSinh_r = (a3+r^2*a5)
 */
        movups    _sPC5+__svml_ssinh_data_internal(%rip), %xmm8
        subps     %xmm5, %xmm10

/* sR2 = sR^2 */
        movaps    %xmm10, %xmm12
        mulps     %xmm10, %xmm12

/*
 * sinh(X) = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2)
 * sOut = (a4 +a6*sR2)
 */
        movups    _sPC6+__svml_ssinh_data_internal(%rip), %xmm9
        mulps     %xmm12, %xmm8
        mulps     %xmm12, %xmm9
        addps     _sPC3+__svml_ssinh_data_internal(%rip), %xmm8
        addps     _sPC4+__svml_ssinh_data_internal(%rip), %xmm9

/* sSinh_r = r^2*(a3+r^2*a5) */
        mulps     %xmm12, %xmm8

/* sOut = a2+sR2*(a4+a6*sR2) */
        mulps     %xmm12, %xmm9

/* sSinh_r = r + r*(r^2*(a3+r^2*a5)) */
        mulps     %xmm10, %xmm8
        addps     _sPC2+__svml_ssinh_data_internal(%rip), %xmm9
        addps     %xmm8, %xmm10

/* sOut = sR2*(a2+sR2*(a4+a6*sR2) */
        mulps     %xmm9, %xmm12
        movdqu    _iHalf+__svml_ssinh_data_internal(%rip), %xmm6
        movdqa    %xmm6, %xmm13
        psubd     %xmm7, %xmm6
        paddd     %xmm7, %xmm13

/* sG1 = 2^(N-1)+2^(-N-1) */
        movdqa    %xmm13, %xmm11

/* sG2 = 2^(N-1)-2^(-N-1) */
        subps     %xmm6, %xmm13
        addps     %xmm6, %xmm11

/* sOut = sG2*sR2*(a2+sR2*(a4+a6*sR2) */
        mulps     %xmm13, %xmm12

/* sOut = sG1*sinh(dR)+sG2*sR2*(a2+sR2*(a4+a6*sR2) */
        mulps     %xmm10, %xmm11
        pcmpgtd   _iDomainRange+__svml_ssinh_data_internal(%rip), %xmm1
        addps     %xmm11, %xmm12
        movmskps  %xmm1, %edx

/* sOut = sG2 + sG1*sinh(dR) + sG2*sR2*(a2+sR2*(a4+a6*sR2) */
        addps     %xmm12, %xmm13

/*  Ret H  */
        orps      %xmm13, %xmm14
        testl     %edx, %edx

/* Go to special inputs processing branch */
        jne       L(SPECIAL_VALUES_BRANCH)
                                # LOE rbx rbp r12 r13 r14 r15 edx xmm0 xmm14

/* Restore registers
 * and exit the function
 */

L(EXIT):
        movaps    %xmm14, %xmm0
        addq      $72, %rsp
        cfi_def_cfa_offset(8)
        ret
        cfi_def_cfa_offset(80)

/* Branch to process
 * special inputs
 */

L(SPECIAL_VALUES_BRANCH):
        movups    %xmm0, 32(%rsp)
        movups    %xmm14, 48(%rsp)
                                # LOE rbx rbp r12 r13 r14 r15 edx

        xorl      %eax, %eax
        movq      %r12, 16(%rsp)
        cfi_offset(12, -64)
        movl      %eax, %r12d
        movq      %r13, 8(%rsp)
        cfi_offset(13, -72)
        movl      %edx, %r13d
        movq      %r14, (%rsp)
        cfi_offset(14, -80)
                                # LOE rbx rbp r15 r12d r13d

/* Range mask
 * bits check
 */

L(RANGEMASK_CHECK):
        btl       %r12d, %r13d

/* Call scalar math function */
        jc        L(SCALAR_MATH_CALL)
                                # LOE rbx rbp r15 r12d r13d

/* Special inputs
 * processing loop
 */

L(SPECIAL_VALUES_LOOP):
        incl      %r12d
        cmpl      $4, %r12d

/* Check bits in range mask */
        jl        L(RANGEMASK_CHECK)
                                # LOE rbx rbp r15 r12d r13d

        movq      16(%rsp), %r12
        cfi_restore(12)
        movq      8(%rsp), %r13
        cfi_restore(13)
        movq      (%rsp), %r14
        cfi_restore(14)
        movups    48(%rsp), %xmm14

/* Go to exit */
        jmp       L(EXIT)
        cfi_offset(12, -64)
        cfi_offset(13, -72)
        cfi_offset(14, -80)
                                # LOE rbx rbp r12 r13 r14 r15 xmm14

/* Scalar math fucntion call
 * to process special input
 */

L(SCALAR_MATH_CALL):
        movl      %r12d, %r14d
        movss     32(%rsp,%r14,4), %xmm0
        call      sinhf@PLT
                                # LOE rbx rbp r14 r15 r12d r13d xmm0

        movss     %xmm0, 48(%rsp,%r14,4)

/* Process special inputs in loop */
        jmp       L(SPECIAL_VALUES_LOOP)
                                # LOE rbx rbp r15 r12d r13d
END(_ZGVbN4v_sinhf_sse4)

        .section .rodata, "a"
        .align 16

#ifdef __svml_ssinh_data_internal_typedef
typedef unsigned int VUINT32;
typedef struct
{
        __declspec(align(16)) VUINT32 _sInvLn2[4][1];
        __declspec(align(16)) VUINT32 _sLn2hi[4][1];
        __declspec(align(16)) VUINT32 _sLn2lo[4][1];
        __declspec(align(16)) VUINT32 _sSign[4][1];
        __declspec(align(16)) VUINT32 _sShifter[4][1];
        __declspec(align(16)) VUINT32 _iDomainRange[4][1];
        __declspec(align(16)) VUINT32 _sPC1[4][1];
        __declspec(align(16)) VUINT32 _sPC2[4][1];
        __declspec(align(16)) VUINT32 _sPC3[4][1];
        __declspec(align(16)) VUINT32 _sPC4[4][1];
        __declspec(align(16)) VUINT32 _sPC5[4][1];
        __declspec(align(16)) VUINT32 _sPC6[4][1];
        __declspec(align(16)) VUINT32 _iHalf[4][1];
} __svml_ssinh_data_internal;
#endif
__svml_ssinh_data_internal:
        .long 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B, 0x3FB8AA3B           /* _sInvLn2  */  //k=0
        .align 16
        .long 0x3F317000, 0x3F317000, 0x3F317000, 0x3F317000           /* _sLn2hi   */
        .align 16
        .long 0x3805FDF4, 0x3805FDF4, 0x3805FDF4, 0x3805FDF4           /* _sLn2lo   */
        .align 16
        .long 0x80000000, 0x80000000, 0x80000000, 0x80000000           /* _sSign    */
        .align 16
        .long 0x4b400000, 0x4b400000, 0x4b400000, 0x4b400000           /* _sShifter */
        .align 16
        .long 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E, 0x42AEAC4E           /* _iDomainRange */
        .align 16
        .long 0x3F800000, 0x3F800000, 0x3F800000, 0x3F800000         /* _sPC1=1  */
        .align 16
        .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000         /* _sPC2  */
        .align 16
        .long 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57, 0x3e2aaa57         /* _sPC3  */
        .align 16
        .long 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72, 0x3d2aaa72         /* _sPC4  */
        .align 16
        .long 0x3c091461, 0x3c091461, 0x3c091461, 0x3c091461         /* _sPC5  */
        .align 16
        .long 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3, 0x3ab6a8a3         /* _sPC6  */
        // Integer constants
        .align 16
        .long 0x3f000000, 0x3f000000, 0x3f000000, 0x3f000000 /* _iHalf*/
        .align 16
        .type	__svml_ssinh_data_internal,@object
        .size	__svml_ssinh_data_internal,.-__svml_ssinh_data_internal
