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qb_compat_complex.c
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/*
+----------------------------------------------------------------------+
| PHP Version 5 |
+----------------------------------------------------------------------+
| Copyright (c) 1997-2012 The PHP Group |
+----------------------------------------------------------------------+
| This source file is subject to version 3.01 of the PHP license, |
| that is bundled with this package in the file LICENSE, and is |
| available through the world-wide-web at the following url: |
| http://www.php.net/license/3_01.txt |
| If you did not receive a copy of the PHP license and are unable to |
| obtain it through the world-wide-web, please send a note to |
| license@php.net so we can mail you a copy immediately. |
+----------------------------------------------------------------------+
| Author: Chung Leong <cleong@cal.berkeley.edu> |
+----------------------------------------------------------------------+
*/
/* $Id$ */
static inline cfloat32_t pif(cfloat32_t n) {
cfloat32_t res;
res.r = -n.i;
res.i = n.r;
return res;
}
static inline cfloat64_t pi(cfloat64_t n) {
cfloat64_t res;
res.r = -n.i;
res.i = n.r;
return res;
}
static inline cfloat32_t mif(cfloat32_t n) {
cfloat32_t res;
res.r = n.i;
res.i = -n.r;
return res;
}
static inline cfloat64_t mi(cfloat64_t n) {
cfloat64_t res;
res.r = n.i;
res.i = -n.r;
return res;
}
static inline cfloat32_t iif(cfloat32_t n) {
cfloat32_t res;
res.r = n.i;
res.i = -n.r;
return res;
}
static inline cfloat64_t ii(cfloat64_t n) {
cfloat64_t res;
res.r = n.i;
res.i = -n.r;
return res;
}
float32_t cabsf(cfloat32_t n) {
float32_t res;
res = sqrtf(n.r * n.r + n.i * n.i);
return res;
}
float64_t cabs(cfloat64_t n) {
float64_t res;
res = sqrt(n.r * n.r + n.i * n.i);
return res;
}
float32_t cargf(cfloat32_t n) {
float32_t res;
res = atan2f(n.i, n.r);
return res;
}
float64_t carg(cfloat64_t n) {
float64_t res;
res = atan2(n.i, n.r);
return res;
}
cfloat32_t cacosf(cfloat32_t n) {
static const float32_t one = (float32_t) 1;
static const float32_t two = (float32_t) 2;
static const float32_t half = (float32_t) 0.5;
static const float32_t a_crossover = (float32_t) 10;
static const float32_t b_crossover = (float32_t) 0.6417;
static const float32_t s_pi = (float32_t) M_PI;
static const float32_t half_pi = (float32_t) M_PI_2;
static const float32_t log_two = (float32_t) M_LN2;
static const float32_t quarter_pi = (float32_t) M_PI_4;
float32_t x = fabsf(n.r);
float32_t y = fabsf(n.i);
cfloat32_t res;
if(zend_isinf(x)) {
if(zend_isinf(y)) {
res.r = quarter_pi;
res.i = x;
} else if(zend_isnan(y)) {
res.r = y;
res.i = -x;
return res;
} else {
res.r = 0;
res.i = x;
}
} else if(zend_isnan(x)) {
res.r = x;
res.i = zend_isinf(y) ? -n.i : x;
return res;
} else if(zend_isinf(y)) {
res.r = half_pi;
res.i = y;
} else if(zend_isnan(y)) {
res.r = (x == 0) ? half_pi : y;
res.i = y;
return res;
} else {
if((y == 0) && (x <= one)) {
res.r = (x == 0) ? half_pi : acosf(n.r);
res.i = n.i * -1;
return res;
} else {
float32_t safe_max = FLT_MAX / 8;
float32_t safe_min = FLT_MIN / 4;
float32_t xp1 = one + x;
float32_t xm1 = x - one;
if((x < safe_max) && (x > safe_min) && (y < safe_max) && (y > safe_min)) {
float32_t yy = y * y;
float32_t r = sqrtf(xp1*xp1 + yy);
float32_t s = sqrtf(xm1*xm1 + yy);
float32_t a = half * (r + s);
float32_t b = x / a;
if(b <= b_crossover) {
res.r = acosf(b);
} else {
float32_t apx = a + x;
if(x <= one) {
res.r = atanf(sqrtf(half * apx * (yy /(r + xp1) + (s-xm1)))/x);
} else {
res.r = atanf((y * sqrtf(half * (apx/(r + xp1) + apx/(s+xm1))))/x);
}
}
if(a <= a_crossover) {
float32_t am1;
if(x < one) {
am1 = half * (yy/(r + xp1) + yy/(s - xm1));
} else {
am1 = half * (yy/(r + xp1) + (s + xm1));
}
res.i = log1pf(am1 + sqrtf(am1 * (a + one)));
} else {
res.i = logf(a + sqrtf(a*a - one));
}
} else {
if(y <= (FLT_EPSILON * fabsf(xm1))) {
if(x < one) {
res.r = acosf(x);
res.i = y / sqrtf(xp1*(one-x));
} else {
if((FLT_MAX / xp1) > xm1) {
res.r = y / sqrtf(xm1*xp1);
res.i = log1pf(xm1 + sqrtf(xp1*xm1));
} else {
res.r = y / x;
res.i = log_two + logf(x);
}
}
} else if(y <= safe_min) {
res.r = sqrtf(y);
res.i = sqrtf(y);
} else if(FLT_EPSILON * y - one >= x) {
res.r = half_pi;
res.i = log_two + logf(y);
} else if(x > one) {
float32_t xoy = x/y;
res.r = atanf(y/x);
res.i = log_two + logf(y) + half * log1pf(xoy*xoy);
} else {
float32_t a = sqrtf(one + y*y);
res.r = half_pi;
res.i = half * log1pf(two *y*(y+a));
}
}
}
}
if(signbit(n.r)) {
res.r = s_pi - res.r;
}
if(!signbit(n.i)) {
res.i = -1 * res.i;
}
return res;
}
cfloat64_t cacos(cfloat64_t n) {
static const float64_t one = (float64_t) 1;
static const float64_t two = (float64_t) 2;
static const float64_t half = (float64_t) 0.5;
static const float64_t a_crossover = (float64_t) 10;
static const float64_t b_crossover = (float64_t) 0.6417;
static const float64_t s_pi = (float64_t) M_PI;
static const float64_t half_pi = (float64_t) M_PI_2;
static const float64_t log_two = (float64_t) M_LN2;
static const float64_t quarter_pi = (float64_t) M_PI_4;
float64_t x = fabs(n.r);
float64_t y = fabs(n.i);
cfloat64_t res;
if(zend_isinf(x)) {
if(zend_isinf(y)) {
res.r = quarter_pi;
res.i = x;
} else if(zend_isnan(y)) {
res.r = y;
res.i = -x;
return res;
} else {
res.r = 0;
res.i = x;
}
} else if(zend_isnan(x)) {
res.r = x;
res.i = zend_isinf(y) ? -n.i : x;
return res;
} else if(zend_isinf(y)) {
res.r = half_pi;
res.i = y;
} else if(zend_isnan(y)) {
res.r = (x == 0) ? half_pi : y;
res.i = y;
return res;
} else {
if((y == 0) && (x <= one)) {
res.r = (x == 0) ? half_pi : acos(n.r);
res.i = n.i * -1;
return res;
} else {
float64_t safe_max = DBL_MAX / 8;
float64_t safe_min = DBL_MIN / 4;
float64_t xp1 = one + x;
float64_t xm1 = x - one;
if((x < safe_max) && (x > safe_min) && (y < safe_max) && (y > safe_min)) {
float64_t yy = y * y;
float64_t r = sqrt(xp1*xp1 + yy);
float64_t s = sqrt(xm1*xm1 + yy);
float64_t a = half * (r + s);
float64_t b = x / a;
if(b <= b_crossover) {
res.r = acos(b);
} else {
float64_t apx = a + x;
if(x <= one) {
res.r = atan(sqrt(half * apx * (yy /(r + xp1) + (s-xm1)))/x);
} else {
res.r = atan((y * sqrt(half * (apx/(r + xp1) + apx/(s+xm1))))/x);
}
}
if(a <= a_crossover) {
float64_t am1;
if(x < one) {
am1 = half * (yy/(r + xp1) + yy/(s - xm1));
} else {
am1 = half * (yy/(r + xp1) + (s + xm1));
}
res.i = log1p(am1 + sqrt(am1 * (a + one)));
} else {
res.i = log(a + sqrt(a*a - one));
}
} else {
if(y <= (DBL_EPSILON * fabs(xm1))) {
if(x < one) {
res.r = acos(x);
res.i = y / sqrt(xp1*(one-x));
} else {
if((DBL_MAX / xp1) > xm1) {
res.r = y / sqrt(xm1*xp1);
res.i = log1p(xm1 + sqrt(xp1*xm1));
} else {
res.r = y / x;
res.i = log_two + log(x);
}
}
} else if(y <= safe_min) {
res.r = sqrt(y);
res.i = sqrt(y);
} else if(DBL_EPSILON * y - one >= x) {
res.r = half_pi;
res.i = log_two + log(y);
} else if(x > one) {
float64_t xoy = x/y;
res.r = atan(y/x);
res.i = log_two + log(y) + half * log1p(xoy*xoy);
} else {
float64_t a = sqrt(one + y*y);
res.r = half_pi;
res.i = half * log1p(two *y*(y+a));
}
}
}
}
if(signbit(n.r)) {
res.r = s_pi - res.r;
}
if(!signbit(n.i)) {
res.i = -1 * res.i;
}
return res;
}
cfloat32_t cacoshf(cfloat32_t n) {
// acosh(z) = ±i acos(z)
cfloat32_t res = cacosf(n);
if(signbit(res.i)) {
res = pif(res);
} else {
res = mif(res);
}
return res;
}
cfloat64_t cacosh(cfloat64_t n) {
// acosh(z) = ±i acos(z)
cfloat64_t res = cacos(n);
if(signbit(res.i)) {
res = pi(res);
} else {
res = mi(res);
}
return res;
}
cfloat32_t casinf(cfloat32_t n) {
static const float32_t one = (float32_t) 1;
static const float32_t two = (float32_t) 2;
static const float32_t half = (float32_t) 0.5;
static const float32_t a_crossover = (float32_t) 10;
static const float32_t b_crossover = (float32_t) 0.6417;
static const float32_t s_pi = (float32_t) M_PI;
static const float32_t half_pi = (float32_t) M_PI_2;
static const float32_t log_two = (float32_t) M_LN2;
static const float32_t quarter_pi = (float32_t) M_PI_4;
float32_t x = fabsf(n.r);
float32_t y = fabsf(n.i);
cfloat32_t res;
if(zend_isnan(x)) {
if(zend_isinf(y)) {
res.r = x;
res.i = y;
} else {
res.r = x;
res.i = x;
return res;
}
} else if(zend_isnan(y)) {
if(x == 0) {
res.r = 0;
res.i = y;
} else if(zend_isinf(x)) {
res.r = y;
res.i = x;
} else {
res.r = y;
res.i = y;
return res;
}
} else if(zend_isinf(x)) {
if(zend_isinf(y)) {
res.r = quarter_pi;
} else {
res.r = half_pi;
}
res.i = x;
} else if(zend_isinf(y)) {
res.r = 0;
res.i = y;
} else {
if((y == 0) && (x <= one)) {
res.r = asinf(n.r);
res.i = n.i;
return res;
} else {
float32_t safe_max = FLT_MAX / 8;
float32_t safe_min = FLT_MIN / 4;
float32_t xp1 = one + x;
float32_t xm1 = x - one;
if((x < safe_max) && (x > safe_min) && (y < safe_max) && (y > safe_min)) {
float32_t yy = y * y;
float32_t r = sqrtf(xp1*xp1 + yy);
float32_t s = sqrtf(xm1*xm1 + yy);
float32_t a = half * (r + s);
float32_t b = x / a;
if(b <= b_crossover) {
res.r = asinf(b);
} else {
float32_t apx = a + x;
if(x <= one) {
res.r = atanf(x/sqrtf(half * apx * (yy /(r + xp1) + (s-xm1))));
} else {
res.r = atanf(x/(y * sqrtf(half * (apx/(r + xp1) + apx/(s+xm1)))));
}
}
if(a <= a_crossover) {
float32_t am1;
if(x < one) {
am1 = half * (yy/(r + xp1) + yy/(s - xm1));
} else {
am1 = half * (yy/(r + xp1) + (s + xm1));
}
res.i = log1pf(am1 + sqrtf(am1 * (a + one)));
} else {
res.i = logf(a + sqrtf(a*a - one));
}
} else {
if(y <= (FLT_EPSILON * fabsf(xm1))) {
if(x < one) {
res.r = asinf(x);
res.i = y / sqrtf(-xp1*xm1);
} else {
res.r = half_pi;
if((FLT_MAX / xp1) > xm1) {
res.i = log1pf(xm1 + sqrtf(xp1*xm1));
} else {
res.i = log_two + logf(x);
}
}
} else if(y <= safe_min) {
res.r = half_pi - sqrtf(y);
res.i = sqrtf(y);
} else if(FLT_EPSILON * y - one >= x) {
res.r = x/y;
res.i = log_two + logf(y);
} else if(x > one) {
float32_t xoy = x/y;
res.r = atanf(x/y);
res.i = log_two + logf(y) + half * log1pf(xoy*xoy);
} else {
float32_t a = sqrtf(one + y*y);
res.r = x/a;
res.i = half * log1pf(two*y*(y+a));
}
}
}
}
if(signbit(n.r)) {
res.r = -1 * res.r;
}
if(signbit(n.i)) {
res.i = -1 * res.i;
}
return res;
}
cfloat64_t casin(cfloat64_t n) {
static const float64_t one = (float64_t) 1;
static const float64_t two = (float64_t) 2;
static const float64_t half = (float64_t) 0.5;
static const float64_t a_crossover = (float64_t) 10;
static const float64_t b_crossover = (float64_t) 0.6417;
static const float64_t s_pi = (float64_t) M_PI;
static const float64_t half_pi = (float64_t) M_PI_2;
static const float64_t log_two = (float64_t) M_LN2;
static const float64_t quarter_pi = (float64_t) M_PI_4;
float64_t x = fabs(n.r);
float64_t y = fabs(n.i);
cfloat64_t res;
if(zend_isnan(x)) {
if(zend_isinf(y)) {
res.r = x;
res.i = y;
} else {
res.r = x;
res.i = x;
return res;
}
} else if(zend_isnan(y)) {
if(x == 0) {
res.r = 0;
res.i = y;
} else if(zend_isinf(x)) {
res.r = y;
res.i = x;
} else {
res.r = y;
res.i = y;
return res;
}
} else if(zend_isinf(x)) {
if(zend_isinf(y)) {
res.r = quarter_pi;
} else {
res.r = half_pi;
}
res.i = x;
} else if(zend_isinf(y)) {
res.r = 0;
res.i = y;
} else {
if((y == 0) && (x <= one)) {
res.r = asin(n.r);
res.i = n.i;
return res;
} else {
float64_t safe_max = DBL_MAX / 8;
float64_t safe_min = DBL_MIN / 4;
float64_t xp1 = one + x;
float64_t xm1 = x - one;
if((x < safe_max) && (x > safe_min) && (y < safe_max) && (y > safe_min)) {
float64_t yy = y * y;
float64_t r = sqrt(xp1*xp1 + yy);
float64_t s = sqrt(xm1*xm1 + yy);
float64_t a = half * (r + s);
float64_t b = x / a;
if(b <= b_crossover) {
res.r = asin(b);
} else {
float64_t apx = a + x;
if(x <= one) {
res.r = atan(x/sqrt(half * apx * (yy /(r + xp1) + (s-xm1))));
} else {
res.r = atan(x/(y * sqrt(half * (apx/(r + xp1) + apx/(s+xm1)))));
}
}
if(a <= a_crossover) {
float64_t am1;
if(x < one) {
am1 = half * (yy/(r + xp1) + yy/(s - xm1));
} else {
am1 = half * (yy/(r + xp1) + (s + xm1));
}
res.i = log1p(am1 + sqrt(am1 * (a + one)));
} else {
res.i = log(a + sqrt(a*a - one));
}
} else {
if(y <= (DBL_EPSILON * fabs(xm1))) {
if(x < one) {
res.r = asin(x);
res.i = y / sqrt(-xp1*xm1);
} else {
res.r = half_pi;
if((DBL_MAX / xp1) > xm1) {
res.i = log1p(xm1 + sqrt(xp1*xm1));
} else {
res.i = log_two + log(x);
}
}
} else if(y <= safe_min) {
res.r = half_pi - sqrt(y);
res.i = sqrt(y);
} else if(DBL_EPSILON * y - one >= x) {
res.r = x/y;
res.i = log_two + log(y);
} else if(x > one) {
float64_t xoy = x/y;
res.r = atan(x/y);
res.i = log_two + log(y) + half * log1p(xoy*xoy);
} else {
float64_t a = sqrt(one + y*y);
res.r = x/a;
res.i = half * log1p(two*y*(y+a));
}
}
}
}
if(signbit(n.r)) {
res.r = -1 * res.r;
}
if(signbit(n.i)) {
res.i = -1 * res.i;
}
return res;
}
cfloat32_t casinhf(cfloat32_t n) {
cfloat32_t res;
// asinh(z) = i asin(-i z);
res = pif(casinf(mif(n)));
return res;
}
cfloat64_t casinh(cfloat64_t n) {
cfloat64_t res;
// asinh(z) = i asin(-i z);
res = pi(casin(mi(n)));
return res;
}
cfloat32_t catanf(cfloat32_t n) {
cfloat32_t res;
if(n.r == 0 && n.i == 1) {
res.r = 0;
res.i = INFINITY;
} else if(n.r == 0 && n.i == -1) {
res.r = 0;
res.i = - INFINITY;
} else {
// atan(z) = -i atanh(iz):
res = mif(catanhf(pif(n)));
}
return res;
}
cfloat64_t catan(cfloat64_t n) {
cfloat64_t res;
if(n.r == 0 && n.i == 1) {
res.r = 0;
res.i = INFINITY;
} else if(n.r == 0 && n.i == -1) {
res.r = 0;
res.i = - INFINITY;
} else {
// atan(z) = -i atanh(iz):
res = mi(catanh(pi(n)));
}
return res;
}
cfloat32_t catanhf(cfloat32_t n) {
static const float32_t pi = (float32_t) M_PI;
static const float32_t half_pi = (float32_t) M_PI_2;
static const float32_t one = (float32_t) 1.0;
static const float32_t two = (float32_t) 2.0;
static const float32_t four = (float32_t) 4.0;
static const float32_t zero = (float32_t) 0;
static const float32_t log_two = (float32_t) M_LN2;
float32_t x = fabsf(n.r);
float32_t y = fabsf(n.i);
cfloat32_t res;
float32_t safe_upper = FLT_MAX / 2;
float32_t safe_lower = FLT_MIN / 2;
if(zend_isnan(x)) {
if(zend_isinf(y)) {
res.r = copysignf(0, n.r);
res.i = copysignf(half_pi, n.i);
} else {
res.r = x;
res.i = x;
}
return res;
} else if(zend_isnan(y)) {
if(x == 0) {
res.r = x;
} else if(zend_isinf(x)) {
res.r = 0;
} else {
res.r = y;
}
res.i = y;
return res;
} else if((x > safe_lower) && (x < safe_upper) && (y > safe_lower) && (y < safe_upper)) {
float32_t yy = y*y;
float32_t mxm1 = one - x;
res.r = log1pf(four * x / (mxm1*mxm1 + yy));
res.r /= four;
if(signbit(n.r)) {
res.r = -1 * res.r;
}
res.i = atan2f((y * two), (mxm1*(one+x) - yy));
res.i /= two;
if(n.i < 0) {
res.i = -1 * res.i;
}
} else {
float32_t mxm1 = one - x;
if(x >= safe_upper) {
if(zend_isinf(x) || zend_isinf(y)) {
res.r = 0;
} else if(y >= safe_upper) {
res.r = log1pf((four/y) / (x/y + y/x));
} else if(y > one) {
res.r = log1pf(four / (x + y*y/x));
} else {
res.r = log1pf(four/x);
}
} else if(y >= safe_upper) {
if(x > one) {
res.r = log1pf((four*x/y) / (y + mxm1*mxm1/y));
} else {
res.r = four*x/y/y;
}
} else if (x != one) {
float32_t div = mxm1*mxm1;
if(y > safe_lower) {
div += y*y;
}
res.r = log1pf(four*x/div);
} else {
res.r = - two * (logf(y) - log_two);
}
res.r /= four;
if(signbit(n.r)) {
res.r = -1 * res.r;
}
if((x >= safe_upper) || (y >= safe_upper)) {
res.i = pi;
} else if(x <= safe_lower) {
if(y <= safe_lower) {
res.i = atan2f(two*y, one);
} else {
if((y == zero) && (x == zero)) {
res.i = 0;
} else {
res.i = atan2f(two*y, one - y*y);
}
}
} else {
if((y == zero) && (x == one)) {
res.i = 0;
} else {
res.i = atan2f(two*y, mxm1*(one+x));
}
}
res.i /= two;
if(signbit(n.i)) {
res.i = -1 * res.i;
}
}
return res;
}
cfloat64_t catanh(cfloat64_t n) {
static const float64_t pi = (float64_t) M_PI;
static const float64_t half_pi = (float64_t) M_PI_2;
static const float64_t one = (float64_t) 1.0;
static const float64_t two = (float64_t) 2.0;
static const float64_t four = (float64_t) 4.0;
static const float64_t zero = (float64_t) 0;
static const float64_t log_two = (float64_t) M_LN2;
float64_t x = fabs(n.r);
float64_t y = fabs(n.i);
cfloat64_t res;
float64_t safe_upper = DBL_MAX / 2;
float64_t safe_lower = DBL_MIN / 2;
if(zend_isnan(x)) {
if(zend_isinf(y)) {
res.r = copysign(0, n.r);
res.i = copysign(half_pi, n.i);
} else {
res.r = x;
res.i = x;
}
return res;
} else if(zend_isnan(y)) {
if(x == 0) {
res.r = x;
} else if(zend_isinf(x)) {
res.r = 0;
} else {
res.r = y;
}
res.i = y;
return res;
} else if((x > safe_lower) && (x < safe_upper) && (y > safe_lower) && (y < safe_upper)) {
float64_t yy = y*y;
float64_t mxm1 = one - x;
res.r = log1p(four * x / (mxm1*mxm1 + yy));
res.r /= four;
if(signbit(n.r)) {
res.r = -1 * res.r;
}
res.i = atan2((y * two), (mxm1*(one+x) - yy));
res.i /= two;
if(n.i < 0) {
res.i = -1 * res.i;
}
} else {
float64_t mxm1 = one - x;
if(x >= safe_upper) {
if(zend_isinf(x) || zend_isinf(y)) {
res.r = 0;
} else if(y >= safe_upper) {
res.r = log1p((four/y) / (x/y + y/x));
} else if(y > one) {
res.r = log1p(four / (x + y*y/x));
} else {
res.r = log1p(four/x);
}
} else if(y >= safe_upper) {
if(x > one) {
res.r = log1p((four*x/y) / (y + mxm1*mxm1/y));
} else {
res.r = four*x/y/y;
}
} else if (x != one) {
float64_t div = mxm1*mxm1;
if(y > safe_lower) {
div += y*y;
}
res.r = log1p(four*x/div);
} else {
res.r = - two * (log(y) - log_two);
}
res.r /= four;
if(signbit(n.r)) {
res.r = -1 * res.r;
}
if((x >= safe_upper) || (y >= safe_upper)) {
res.i = pi;
} else if(x <= safe_lower) {
if(y <= safe_lower) {
res.i = atan2(two*y, one);
} else {
if((y == zero) && (x == zero)) {
res.i = 0;
} else {
res.i = atan2(two*y, one - y*y);
}
}
} else {
if((y == zero) && (x == one)) {
res.i = 0;
} else {
res.i = atan2(two*y, mxm1*(one+x));
}
}
res.i /= two;
if(signbit(n.i)) {
res.i = -1 * res.i;
}
}
return res;
}
cfloat32_t ccosf(cfloat32_t n) {
cfloat32_t res;
// cos(z) = cosh(iz)
res = ccoshf(pif(n));
return res;
}
cfloat64_t ccos(cfloat64_t n) {
cfloat64_t res;
// cos(z) = cosh(iz)
res = ccosh(pi(n));
return res;
}
cfloat32_t ccoshf(cfloat32_t n) {
cfloat32_t res;
if(n.r == 0) {
res.r = cosf(n.i);
res.i = 0;
} else if(n.i == 0) {
res.r = coshf(n.r);
res.i = 0;
} else if(zend_isinf(n.r)) {
if(zend_finite(n.i)) {
res.r = INFINITY * cosf(n.i);
res.i = (float32_t) n.r * sinf(n.i);
} else {
res.r = INFINITY;
res.i = NAN;
}
} else {
res.r = coshf(n.r) * cosf(n.i);
res.i = sinhf(n.r) * sinf(n.i);
}
return res;
}
cfloat64_t ccosh(cfloat64_t n) {
cfloat64_t res;
if(n.r == 0) {
res.r = cos(n.i);
res.i = 0;
} else if(n.i == 0) {
res.r = cosh(n.r);
res.i = 0;
} else if(zend_isinf(n.r)) {
if(zend_finite(n.i)) {
res.r = INFINITY * cos(n.i);
res.i = (float64_t) n.r * sin(n.i);
} else {
res.r = INFINITY;
res.i = NAN;
}
} else {
res.r = cosh(n.r) * cos(n.i);
res.i = sinh(n.r) * sin(n.i);
}
return res;
}
cfloat32_t cdivf(cfloat32_t n1, cfloat32_t n2) {
cfloat32_t res;
float32_t r1r2 = n1.r * n2.r;
float32_t i1i2 = n1.i * n2.i;
float32_t i1r2 = n1.i * n2.r;
float32_t r1i2 = n1.r * n2.i;
float32_t denom = n2.r * n2.r + n2.i * n2.i;
res.r = (r1r2 + i1i2) / denom;
res.i = (i1r2 - r1i2) / denom;
if(zend_isnan(res.r) && zend_isnan(res.i)) {
if(denom == 0.0f && (!zend_isnan(n1.r) || !zend_isnan(n1.i))) {
res.r = copysignf(INFINITY, n2.r) * n1.r;
res.i = copysignf(INFINITY, n2.r) * n1.i;
} else if((zend_isinf(n1.r) || zend_isinf(n1.i)) && zend_finite(n2.r) && zend_finite(n2.i)) {
n1.r = copysignf(zend_isinf(n1.r) ? 1.0f : 0.0f, n1.r);
n1.i = copysignf(zend_isinf(n1.i) ? 1.0f : 0.0f, n1.i);
res.r = INFINITY * ((n1.r * n2.r) + (n1.i * n2.i));
res.i = INFINITY * ((n1.i * n2.r) + (n1.r * n2.i));
}
}
return res;
}
cfloat64_t cdiv(cfloat64_t n1, cfloat64_t n2) {
cfloat64_t res;
float64_t r1r2 = n1.r * n2.r;
float64_t i1i2 = n1.i * n2.i;
float64_t i1r2 = n1.i * n2.r;
float64_t r1i2 = n1.r * n2.i;
float64_t denom = n2.r * n2.r + n2.i * n2.i;
res.r = (r1r2 + i1i2) / denom;
res.i = (i1r2 - r1i2) / denom;
if(zend_isnan(res.r) && zend_isnan(res.i)) {
if(denom == 0.0 && (!zend_isnan(n1.r) || !zend_isnan(n1.i))) {
res.r = copysign(INFINITY, n2.r) * n1.r;
res.i = copysign(INFINITY, n2.r) * n1.i;
} else if((zend_isinf(n1.r) || zend_isinf(n1.i)) && zend_finite(n2.r) && zend_finite(n2.i)) {
n1.r = copysign(zend_isinf(n1.r) ? 1.0 : 0.0, n1.r);
n1.i = copysign(zend_isinf(n1.i) ? 1.0 : 0.0, n1.i);
res.r = INFINITY * ((n1.r * n2.r) + (n1.i * n2.i));
res.i = INFINITY * ((n1.i * n2.r) + (n1.r * n2.i));
}
}
return res;
}
cfloat32_t cexpf(cfloat32_t n) {
cfloat32_t res;
if(zend_isnan(n.r)) {
res.r = NAN;
res.i = (n.i == 0) ? 0 : NAN;
} else if(zend_isnan(n.i)) {
if(zend_isinf(n.r)) {
if(signbit(n.r)) {
res.r = (float32_t) 0;
res.i = (float32_t) 0;
} else {
res.r = INFINITY;
res.i = NAN;
}
} else {
res.r = NAN;
res.i = NAN;
}
} else if(zend_isinf(n.i)) {
if(zend_isinf(n.r)) {
if(signbit(n.r)) {
res.r = (float32_t) 0;
res.i = (float32_t) 0;
} else {
res.r = INFINITY;
res.i = NAN;
}
} else {
res.r = NAN;
res.i = NAN;