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  /external/fdlibm/
w_sqrt.c 15 * wrapper ieee_sqrt(x)
21 double ieee_sqrt(double x) /* wrapper sqrt */ function
23 double ieee_sqrt(x) /* wrapper sqrt */
34 return __kernel_standard(x,x,26); /* ieee_sqrt(negative) */
e_acosh.c 18 * acosh(x) = log [ x + ieee_sqrt(x*x-1) ]
21 * acosh(x) := ieee_log(2x-1/(ieee_sqrt(x*x-1)+x)) if x>2; else
22 * acosh(x) := ieee_log1p(t+ieee_sqrt(2.0*t+t*t)); where t=x-1.
60 return __ieee754_log(2.0*x-one/(x+ieee_sqrt(t-one)));
63 return ieee_log1p(t+ieee_sqrt(2.0*t+t*t));
s_asinh.c 17 * asinh(x) = sign(x) * log [ |x| + ieee_sqrt(x*x+1) ]
21 * := sign(x)*ieee_log(2|x|+1/(|x|+ieee_sqrt(x*x+1))) if|x|>2, else
22 * := sign(x)*ieee_log1p(|x| + x^2/(1 + ieee_sqrt(1+x^2)))
55 w = __ieee754_log(2.0*t+one/(ieee_sqrt(x*x+one)+t));
58 w =ieee_log1p(ieee_fabs(x)+t/(one+ieee_sqrt(one+t)));
e_acos.c 21 * acos(x) = pi/2 - (pi/2 - 2asin(ieee_sqrt((1-x)/2)))
22 * = 2asin(ieee_sqrt((1-x)/2))
23 * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=ieee_sqrt(z)
26 * for f so that f+c ~ ieee_sqrt(z).
28 * acos(x) = pi - 2asin(ieee_sqrt((1-|x|)/2))
29 * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=ieee_sqrt(z)
89 s = ieee_sqrt(z);
95 s = ieee_sqrt(z);
e_hypot.c 18 * has error less than ieee_sqrt(2)/2 ulp, than
21 * So, compute ieee_sqrt(x*x+y*y) with some care as
42 * hypot(x,y) returns ieee_sqrt(x^2+y^2) with error less
99 w = ieee_sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
108 w = ieee_sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
e_j0.c 23 * j0(x) = ieee_sqrt(2/(pi*x))*(p0(x)*ieee_cos(x0)-q0(x)*ieee_sin(x0))
27 * = 1/ieee_sqrt(2) * (ieee_cos(x) + ieee_sin(x))
29 * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
53 * y0(x) = ieee_sqrt(2/(pi*x))*(p0(x)*ieee_cos(x0)+q0(x)*ieee_sin(x0))
113 * ieee_j0(x) = 1/ieee_sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / ieee_sqrt(x)
114 * ieee_y0(x) = 1/ieee_sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / ieee_sqrt(x)
116 if(ix>0x48000000) z = (invsqrtpi*cc)/ieee_sqrt(x);
119 z = invsqrtpi*(u*cc-v*ss)/ieee_sqrt(x)
    [all...]
e_j1.c 23 * j1(x) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_cos(x1)-q1(x)*ieee_sin(x1))
24 * y1(x) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_sin(x1)+q1(x)*ieee_cos(x1))
28 * = 1/ieee_sqrt(2) * (ieee_sin(x) - ieee_cos(x))
30 * = -1/ieee_sqrt(2) * (ieee_sin(x) + ieee_cos(x))
54 * y1(x) = ieee_sqrt(2/(pi*x))*(p1(x)*ieee_sin(x1)+q1(x)*ieee_cos(x1))
114 * ieee_j1(x) = 1/ieee_sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / ieee_sqrt(x)
115 * ieee_y1(x) = 1/ieee_sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / ieee_sqrt(x)
117 if(ix>0x48000000) z = (invsqrtpi*cc)/ieee_sqrt(y)
    [all...]
e_asin.c 25 * asin(x) = pi/2-2*ieee_asin(ieee_sqrt((1-x)/2))
26 * Let y = (1-x), z = y/2, s := ieee_sqrt(z), and pio2_hi+pio2_lo=pi/2;
32 * c = ieee_sqrt(z) - f = (z-f*f)/(s+f) ...f+c=ieee_sqrt(z)
100 s = ieee_sqrt(t);
e_jn.c 87 * Jn(x) = ieee_cos(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
88 * Yn(x) = ieee_sin(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
90 * xn=x-(2n+1)*pi/4, sqt2 = ieee_sqrt(2),then
105 b = invsqrtpi*temp/ieee_sqrt(x);
242 * Jn(x) = ieee_cos(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
243 * Yn(x) = ieee_sin(x-(2n+1)*pi/4)*ieee_sqrt(2/x*pi)
245 * xn=x-(2n+1)*pi/4, sqt2 = ieee_sqrt(2),then
260 b = invsqrtpi*temp/ieee_sqrt(x);
fdlibm.h 122 extern double ieee_sqrt __P((double));
e_pow.c 162 return ieee_sqrt(x);
218 if(j<=0x3988E) k=0; /* |x|<ieee_sqrt(3/2) */
219 else if(j<0xBB67A) k=1; /* |x|<ieee_sqrt(3) */

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