/*-
 * Copyright (c) 2017,2023 Steven G. Kargl
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice unmodified, this list of conditions, and the following
 *    disclaimer.
 * 2. 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.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``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 AUTHOR 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.
 */

/*
 * See ../src/s_sinpi.c for implementation details.
 */

#define INLINE_KERNEL_SINDF
#define INLINE_KERNEL_COSDF

#include "math.h"
#include "math_private.h"
#include "k_cosf.c"
#include "k_sinf.c"

#define __kernel_cospif(x)      (__kernel_cosdf(M_PI * (x)))
#define __kernel_sinpif(x)      (__kernel_sindf(M_PI * (x)))

static const float
pi_hi =  3.14160156e+00F,       /* 0x40491000 */
pi_lo = -8.90890988e-06F;       /* 0xb715777a */

volatile static const float vzero = 0;

float
sinpif(float x)
{
        float ax, hi, lo, s;
        uint32_t hx, ix, j0;

        GET_FLOAT_WORD(hx, x);
        ix = hx & 0x7fffffff;
        SET_FLOAT_WORD(ax, ix);

        if (ix < 0x3f800000) {                  /* |x| < 1 */
                if (ix < 0x3e800000) {          /* |x| < 0.25 */
                        if (ix < 0x38800000) {  /* |x| < 0x1p-14 */
                                if (x == 0)
                                        return (x);
                                SET_FLOAT_WORD(hi, hx & 0xffff0000);
                                hi *= 0x1p23F;
                                lo = x * 0x1p23F - hi;
                                s = (pi_lo + pi_hi) * lo + pi_lo * hi +
                                    pi_hi * hi;
                                return (s * 0x1p-23F);
                        }

                        s = __kernel_sinpif(ax);
                        return ((hx & 0x80000000) ? -s : s);
                }

                if (ix < 0x3f000000)            /* |x| < 0.5 */
                        s = __kernel_cospif(0.5F - ax);
                else if (ix < 0x3f400000)       /* |x| < 0.75 */
                        s = __kernel_cospif(ax - 0.5F);
                else
                        s = __kernel_sinpif(1 - ax);
                return ((hx & 0x80000000) ? -s : s);
        }

        if (ix < 0x4b000000) {          /* 1 <= |x| < 0x1p23 */
                FFLOORF(x, j0, ix);     /* Integer part of ax. */
                ax -= x;
                GET_FLOAT_WORD(ix, ax);

                if (ix == 0)
                        s = 0;
                else {
                        if (ix < 0x3f000000) {          /* |x| < 0.5 */
                                if (ix < 0x3e800000)    /* |x| < 0.25 */
                                        s = __kernel_sinpif(ax);
                                else
                                        s = __kernel_cospif(0.5F - ax);
                        } else {
                                if (ix < 0x3f400000)    /* |x| < 0.75 */
                                        s = __kernel_cospif(ax - 0.5F);
                                else
                                        s = __kernel_sinpif(1 - ax);
                        }

                        j0 = (uint32_t)x;
                        s = (j0 & 1) ? -s : s;
                }
                return ((hx & 0x80000000) ? -s : s);
        }

        /* x = +-inf or nan. */
        if (ix >= 0x7f800000)
                return (vzero / vzero);

        /*
         * |x| >= 0x1p23 is always an integer, so return +-0.
         */
        return (copysignf(0, x));
}