/*===================== begin_copyright_notice ==================================

Copyright (c) 2022 Intel Corporation

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"Software"), to deal in the Software without restriction, including
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The above copyright notice and this permission notice shall be included
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
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======================= end_copyright_notice ==================================*/

#include "../imf.h"
#pragma OPENCL FP_CONTRACT OFF

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_INV_PI64 = { 0x3fd45f306dc9c883UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_SHIFTER = { 0x4328000000000000UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_PI1_BITS = { 0x400921fb54442d18UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_PI2_BITS = { 0x3ca1a62633000000UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_PI3_BITS = { 0x3aa45c06e0e68948UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_two = { 0x4000000000000000UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_half = { 0x3fe0000000000000UL };

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_c_coeff[] = {
    {0x3feffffffff97c47UL}, {0xbfdffffffbdee95eUL}, {0x3fa55553a875b0c5UL},
    {0xbf56c078624df59aUL}, {0x3ef9906ffd58bf6dUL}, {0},
};

static __constant union
{
    unsigned long w;
    unsigned int w32[2];
    int s32[2];
    double f;
} __dsincos_ep_nolut_s_coeff[] = {
    {0xbe2a670b2f4764e4UL}, {0xbfc55553fe6f4534UL}, {0x3f8110630f1a5f72UL},
    {0xbf299076bb901430UL},
};

static __constant unsigned long __dsincos_ep_nolut_AbsMask = 0x7fffffffffffffffUL;
static __constant unsigned long __dsincos_ep_nolut_zero = 0x0000000000000000UL;
static __constant unsigned int __dsincos_ep_nolut_InvPi_tbl[] = { 0, 0,
    0x28BE60DBu, 0x9391054Au, 0x7F09D5F4u, 0x7D4D3770u,
    0x36D8A566u, 0x4F10E410u, 0x7F9458EAu, 0xF7AEF158u,
    0x6DC91B8Eu, 0x909374B8u, 0x01924BBAu, 0x82746487u,
    0x3F877AC7u, 0x2C4A69CFu, 0xBA208D7Du, 0x4BAED121u,
    0x3A671C09u, 0xAD17DF90u, 0x4E64758Eu, 0x60D4CE7Du,
    0x272117E2u, 0xEF7E4A0Eu, 0xC7FE25FFu, 0xF7816603u,
    0xFBCBC462u, 0xD6829B47u, 0xDB4D9FB3u, 0xC9F2C26Du,
    0xD3D18FD9u, 0xA797FA8Bu, 0x5D49EEB1u, 0xFAF97C5Eu,
    0xCF41CE7Du, 0xE294A4BAu, 0x9AFED7ECu, 0x47E35742u,
    0x1580CC11u, 0xBF1EDAEAu, 0, 0, 0, 0
};
static __constant unsigned int __dsincos_ep_nolut_two_pi[2] = { 0x2168C235u, 0xC90FDAA2u };

__attribute__((always_inline))
static inline double __dsincos_ep_nolut_trig_noLUT_reduction (double x, int kbits, double *py_low, int *pinterv)
{
    unsigned long ix, sgn_x, abs_x, mx, R;
    unsigned long S[2], P2, P3, P4, P5, L, L2, Lh, P23, P23_l, Msk;
    long e_yl, e_yh;
    unsigned int mant[2], T[7], Sh, Sl;
    int Syl;
    int expon_x, j, shift, shift2, scale, interv = 0;
    int cond;
    double yl, res;
    union
    {
        unsigned long w;
        unsigned int w32[2];
        int s32[2];
        double f;
    } ixd;
    ixd.f = x;
    ix = ixd.w;
    abs_x = ix & 0x7fffffffffffffffUL;
    sgn_x = ix ^ abs_x;
    expon_x = (((unsigned int) ((unsigned int) (abs_x >> 32))) >> (20));
    mant[0] = (unsigned int) abs_x;
    mant[1] = (((unsigned int) (abs_x >> 32)) & 0xfffffu) | 0x100000u;
    cond = ((unsigned) (expon_x - 0x400) >= (0x7ff - 0x400));
    if (cond)
    {
        *py_low = 0;
        *pinterv = 0;
        return x;
    }
    expon_x = expon_x + 12 - 0x3ff;
    j = (((unsigned int) (expon_x)) >> (5));
    T[0] = __dsincos_ep_nolut_InvPi_tbl[j];
    T[1] = __dsincos_ep_nolut_InvPi_tbl[j + 1];
    T[2] = __dsincos_ep_nolut_InvPi_tbl[j + 2];
    T[3] = __dsincos_ep_nolut_InvPi_tbl[j + 3];
    T[4] = __dsincos_ep_nolut_InvPi_tbl[j + 4];
    T[5] = __dsincos_ep_nolut_InvPi_tbl[j + 5];
    T[6] = __dsincos_ep_nolut_InvPi_tbl[j + 6];
    shift = expon_x - (j << 5);
    if (shift)
    {
        shift2 = 32 - shift;
        T[0] = (T[0] << shift) | (((unsigned int) (T[1])) >> (shift2));
        T[1] = (T[1] << shift) | (((unsigned int) (T[2])) >> (shift2));
        T[2] = (T[2] << shift) | (((unsigned int) (T[3])) >> (shift2));
        T[3] = (T[3] << shift) | (((unsigned int) (T[4])) >> (shift2));
        T[4] = (T[4] << shift) | (((unsigned int) (T[5])) >> (shift2));
        T[5] = (T[5] << shift) | (((unsigned int) (T[6])) >> (shift2));
    }
    S[0] = (((unsigned long) ((unsigned int) (T[3]))) * ((unsigned int) (mant[0])));
    P4 = (((unsigned long) ((unsigned int) (T[4]))) * ((unsigned int) (mant[1])));
    L = (((unsigned long) ((unsigned int) (T[4]))) * ((unsigned int) (mant[0])));
    L2 = (((unsigned long) ((unsigned int) (T[5]))) * ((unsigned int) (mant[1])));
    L += L2;
    if (L < L2)
        S[0] += 0x100000000UL;
    P2 = (((unsigned long) ((unsigned int) (T[2]))) * ((unsigned int) (mant[0])));
    S[1] =
        (((unsigned long) ((unsigned int) (T[1]))) * ((unsigned int) (mant[0]))) +
        (((unsigned long) (((unsigned int) T[0]) * ((unsigned int) mant[0]))) << 32);
    S[0] += P4;
    if (S[0] < P4)
        S[1]++;
    Lh = (((unsigned long) (L)) >> (32));
    L <<= 32;
    S[0] += Lh;
    if (S[0] < Lh)
        S[1]++;
    P3 = (((unsigned long) ((unsigned int) (T[3]))) * ((unsigned int) (mant[1])));
    S[1] =
        S[1] + (((unsigned long) ((unsigned int) (T[2]))) * ((unsigned int) (mant[1]))) +
        (((unsigned long) (((unsigned int) T[1]) * ((unsigned int) mant[1]))) << 32);
    P23 = P2 + P3;
    if (P23 < P3)
        S[1] += 0x100000000UL;
    S[1] += (((unsigned long) (P23)) >> (32));
    P23_l = P23 << 32;
    S[0] += P23_l;
    if (S[0] < P23_l)
        S[1]++;
    if (kbits)
    {
        shift2 = 32 - kbits;
        interv = (((unsigned long) ((((unsigned long) (S[1])) >> (32)))) >> (shift2));
        S[1] = (S[1] << kbits) | (((unsigned long) ((((unsigned long) (S[0])) >> (32)))) >> (shift2));
        S[0] = (S[0] << kbits) | (((unsigned long) ((((unsigned long) (L)) >> (32)))) >> (shift2));
        L <<= kbits;
    }
    Msk = (((long) (S[1])) >> (63));
    interv = interv - (int) Msk;
    S[1] ^= Msk;
    S[0] ^= Msk;
    L ^= Msk;
    sgn_x = (((long) (sgn_x)) >> (63));
    *pinterv = (interv ^ (int) sgn_x) - (int) sgn_x;
    sgn_x = (sgn_x ^ Msk) & 0x8000000000000000UL;
    scale = -64 - kbits;
    while (((long) S[1]) > 0)
    {
        scale--;
        S[1] = (S[1] << 1) | (((unsigned long) (S[0])) >> (63));
        S[0] = (S[0] << 1) | (((unsigned long) (L)) >> (63));
        L <<= 1;
    }
    Sh = (unsigned int) (((unsigned long) (S[1])) >> (32));
    Sl = (unsigned int) S[1];
    R = (((unsigned long) ((unsigned int) (Sh))) * ((unsigned int) (__dsincos_ep_nolut_two_pi[1])));
    P2 = (((unsigned long) ((unsigned int) (Sh))) * ((unsigned int) (__dsincos_ep_nolut_two_pi[0])));
    P3 = (((unsigned long) ((unsigned int) (Sl))) * ((unsigned int) (__dsincos_ep_nolut_two_pi[1])));
    P23 = P2 + P3;
    if (P23 < P3)
        R++;
    R += (((unsigned long) (P23)) >> (32));
    scale += 3;
    if (((long) R) < 0)
    {
        R = (((unsigned long) (R)) >> (1));
        scale++;
    }
    Syl = (unsigned int) R;
    R += (unsigned long) (1 << 9);
    Syl <<= (32 - 10);
    Syl = (((int) (Syl)) >> (32 - 10));
    yl = (double) Syl;
    e_yl = (long) scale;
    e_yl = ((e_yl + 0x3ff) << 52) | sgn_x;
    *py_low = yl * (*(double *) &e_yl);
    e_yh = (unsigned long) (scale + 62 - 1 + 0x3ff);
    e_yh = (e_yh << 52);
    R = e_yh + (((unsigned long) (R)) >> (10));
    *(unsigned long *) &res = sgn_x ^ R;
    return res;
}

__attribute__((always_inline))
inline int __internal_dsincos_ep_nolut_cout (double *a, double *psin, double *pcos)
{
    int nRet = 0;
    double xin = *a;
    unsigned leading_xh;
    int cond;
    int idx;
    double dN, Rh, dNP2, dNP3, Rm, R, dNP2_h, R2, dNP3_h;
    double mNP2_l, mNP3_l, Rl, R3;
    union
    {
        unsigned long w;
        unsigned int w32[2];
        int s32[2];
        double f;
    } x, x0, res[2], dS, sin_res, cos_res;
    double s_poly, c_poly, R_Rl, R2h, R2l, Ch;
    unsigned long sgn_x, R_sgn, C_sgn, index, lindex;
    x0.f = xin;
    x.w = x0.w & (__dsincos_ep_nolut_AbsMask);
    sgn_x = (x0).w ^ (x).w;
    leading_xh = ((unsigned) x.w32[1]);
    cond = ((unsigned) (leading_xh) >= (0x41300000 - 0));
    if (cond)
        goto SINCOS_SPECIAL;
    dS.f = __spirv_ocl_fma(x.f,(__dsincos_ep_nolut_INV_PI64).f,(__dsincos_ep_nolut_SHIFTER).f);
    dN = dS.f - (__dsincos_ep_nolut_SHIFTER).f;
    C_sgn = (dS).w << 63;
    R_sgn = ((dS).w >> 1) << 63;
    index = dS.w & 1;
    R = __spirv_ocl_fma(-dN,(__dsincos_ep_nolut_PI1_BITS).f,x.f);
    R = __spirv_ocl_fma(-dN,(__dsincos_ep_nolut_PI2_BITS).f,R);
    R2 = __spirv_ocl_fma(R,R,0.0);
  SINCOS_MAIN_PATH:
    c_poly = __spirv_ocl_fma(R2,(__dsincos_ep_nolut_c_coeff[4]).f,(__dsincos_ep_nolut_c_coeff[3]).f);
    s_poly = __spirv_ocl_fma(R2,(__dsincos_ep_nolut_s_coeff[3]).f,(__dsincos_ep_nolut_s_coeff[2]).f);
    c_poly = __spirv_ocl_fma(R2,c_poly,(__dsincos_ep_nolut_c_coeff[2]).f);
    c_poly = __spirv_ocl_fma(R2,c_poly,(__dsincos_ep_nolut_c_coeff[1]).f);
    s_poly = __spirv_ocl_fma(R2,s_poly,(__dsincos_ep_nolut_s_coeff[1]).f);
    c_poly = __spirv_ocl_fma(R2,c_poly,(__dsincos_ep_nolut_c_coeff[0]).f);
    s_poly = __spirv_ocl_fma(R2,s_poly,(__dsincos_ep_nolut_s_coeff[0]).f);
    s_poly = __spirv_ocl_fma(R,s_poly,R);
    sin_res.f = (index == 0) ? s_poly : c_poly;
    cos_res.f = (index == 0) ? c_poly : s_poly;
    sin_res.w ^= (sgn_x ^ R_sgn);
    cos_res.w ^= (C_sgn ^ R_sgn);
    *pcos = cos_res.f;
    *psin = sin_res.f;
    return nRet;
  SINCOS_SPECIAL:
    if (leading_xh >= 0x7ff00000)
    {
        if (x.w == 0x7ff0000000000000UL)
        {
            res[0].w = 0xfff8000000000000UL;
            *pcos = res[0].f;
            *psin = res[0].f;
            nRet = 1;
            return nRet;
        }
        *psin = *pcos = xin + xin;
        return nRet;
    }
    R = __dsincos_ep_nolut_trig_noLUT_reduction (x.f, 2, &Rl, &idx);
    R2 = R * R;
    lindex = index = (unsigned long) idx;
    lindex <<= 63;
    C_sgn = (lindex);
    lindex = (index >> 1);
    lindex <<= 63;
    R_sgn = (lindex);
    index &= 1;
    goto SINCOS_MAIN_PATH;
}

void __ocl_svml_sincos_ep_noLUT (double a,  double *b, __global double *c)
{
    double va1;
    double vr1;
    double vr2;
    va1 = a;
    __internal_dsincos_ep_nolut_cout (&va1, &vr1, &vr2);
    ((double *) b)[0] = vr1;
    ((double *) c)[0] = vr2;
    return;
}
