common/complex/csinhf.c

25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
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25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis/*
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2005 Sun Microsystems, Inc.  All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
ddc0e0b53c661f6e439e3b7072b3ef353eadb4afRichard Lowe#pragma weak __csinhf = csinhf
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "libm.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#include "complex_wrapper.h"
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisextern int __swapRP(int);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const float zero = 0.0F, half = 0.5F;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisfcomplex
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtiscsinhf(fcomplex z) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    float       x, y, S, C;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    double      t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    int     hx, ix, hy, iy, n;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    fcomplex    ans;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    x = F_RE(z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    y = F_IM(z);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    hx = THE_WORD(x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    ix = hx & 0x7fffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    hy = THE_WORD(y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    iy = hy & 0x7fffffff;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    x = fabsf(x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    y = fabsf(y);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    sincosf(y, &S, &C);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    if (ix >= 0x41600000) { /* |x| > 14 = prec/2 (14,28,34,60) */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        if (ix >= 0x42B171AA) { /* |x| > 88.722... ~ log(2**128) */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            if (ix >= 0x7f800000) { /* |x| is inf or NaN */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                if (iy == 0) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_RE(ans) = x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_IM(ans) = y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                } else if (iy >= 0x7f800000) {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_RE(ans) = x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_IM(ans) = x - y;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_RE(ans) = C * x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    F_IM(ans) = S * x;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                int rp = __swapRP(fp_extended);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                /* return (C, S) * exp(x) / 2 */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                t = __k_cexp((double)x, &n);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                F_RE(ans) = (float)scalbn(C * t, n - 1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                F_IM(ans) = (float)scalbn(S * t, n - 1);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#if defined(__i386) && !defined(__amd64)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                if (rp != fp_extended)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis                    (void) __swapRP(rp);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis#endif
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            t = expf(x) * half;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_RE(ans) = C * t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_IM(ans) = S * t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        if (ix == 0) {  /* x = 0, return (0,S) */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_RE(ans) = zero;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_IM(ans) = S;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        } else {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_RE(ans) = C * sinhf(x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis            F_IM(ans) = S * coshf(x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    }
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    if (hx < 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        F_RE(ans) = -F_RE(ans);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    if (hy < 0)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis        F_IM(ans) = -F_IM(ans);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis    return (ans);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis}