Searched refs:sqrt (Results 1 - 25 of 82) sorted by relevance

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/openjdk7/jdk/src/share/native/java/lang/fdlibm/src/
H A Dw_sqrt.c28 * wrapper sqrt(x)
34 double sqrt(double x) /* wrapper sqrt */ function
36 double sqrt(x) /* wrapper sqrt */
47 return __kernel_standard(x,x,26); /* sqrt(negative) */
H A De_acosh.c30 * acosh(x) = log [ x + sqrt(x*x-1) ]
33 * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
34 * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
72 return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
75 return log1p(t+sqrt(2.0*t+t*t));
H A Ds_asinh.c30 * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
34 * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
35 * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
68 w = __ieee754_log(2.0*t+one/(sqrt(x*x+one)+t));
71 w =log1p(fabs(x)+t/(one+sqrt(one+t)));
H A De_acos.c34 * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
35 * = 2asin(sqrt((1-x)/2))
36 * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z)
39 * for f so that f+c ~ sqrt(z).
41 * acos(x) = pi - 2asin(sqrt((1-|x|)/2))
42 * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
48 * Function needed: sqrt
102 s = sqrt(z);
108 s = sqrt(z);
H A De_hypot.c31 * has error less than sqrt(2)/2 ulp, than
32 * sqrt(z) has error less than 1 ulp (exercise).
34 * So, compute sqrt(x*x+y*y) with some care as
55 * hypot(x,y) returns sqrt(x^2+y^2) with error less
112 w = sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
121 w = sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
H A De_j0.c36 * j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0))
40 * = 1/sqrt(2) * (cos(x) + sin(x))
42 * = 1/sqrt(2) * (sin(x) - cos(x))
66 * y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0))
126 * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
127 * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
129 if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(x);
132 z = invsqrtpi*(u*cc-v*ss)/sqrt(
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H A De_j1.c36 * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
37 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
41 * = 1/sqrt(2) * (sin(x) - cos(x))
43 * = -1/sqrt(2) * (sin(x) + cos(x))
67 * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
127 * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
128 * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
130 if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(
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H A De_asin.c38 * asin(x) = pi/2-2*asin(sqrt((1-x)/2))
39 * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
45 * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z)
113 s = sqrt(t);
H A De_jn.c100 * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
101 * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
103 * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
118 b = invsqrtpi*temp/sqrt(x);
255 * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
256 * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
258 * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
273 b = invsqrtpi*temp/sqrt(x);
/openjdk7/jdk/src/share/native/sun/awt/medialib/
H A Dmlib_SysMath.h58 #define mlib_sqrt sqrt
65 #define mlib_sqrtf (float) sqrt
/openjdk7/hotspot/test/compiler/8005956/
H A DPolynomialRoot.java53 static final double SQRT3=Math.sqrt(3.0),SQRT2=Math.sqrt(2.0);
97 final double sq4 = Math.sqrt(Math.sqrt(d));
110 final double sq4 = Math.sqrt(Math.sqrt(-d));
179 final double sqrtQ = Math.sqrt (Q);
196 final double ratio = (R >= 0?1:-1) * Math.sqrt (R2 / Q3);
198 final double norm = -2 * Math.sqrt (Q);
207 final double A = -(R >= 0?1:-1)*Math.pow(Math.abs(R)+Math.sqrt(R
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/openjdk7/jdk/src/share/classes/java/awt/geom/
H A DPoint2D.java312 return Math.sqrt(x1 * x1 + y1 * y1);
364 return Math.sqrt(px * px + py * py);
380 return Math.sqrt(px * px + py * py);
H A DRoundRectIterator.java85 private static final double c = Math.sqrt(1.0 + b * b) - 1 + a;
/openjdk7/jdk/test/java/io/Serializable/noSuchFieldClarification/
H A DNoSuchFieldClarification.java46 this.radius = Math.sqrt(x*x+y*y);
76 radius = Math.sqrt(x*x + y*y);
/openjdk7/jdk/src/share/classes/java/awt/
H A DRadialGradientPaintContext.java147 float scalefactor = (float)Math.sqrt(radiusSq * SCALEBACK / distSq);
156 trivial = (float)Math.sqrt(radiusSq - (dX * dX));
191 /* We calculate sqrt(X^2 + Y^2) relative to the radius
245 * We do not need to calculate sqrt(gRel) for these
246 * values since sqrt(N>=1) == (M>=1).
256 * in the heart - slow fraction=sqrt fill while gRel < 1
307 sqrtLut[i] = (float) Math.sqrt(i / ((float) SQRT_LUT_SIZE));
403 det = (float)Math.sqrt((B * B) - (4 * A * C));
436 g = (float)Math.sqrt(currentToFocusSq / intersectToFocusSq);
/openjdk7/jdk/src/share/native/sun/java2d/cmm/lcms/
H A Dcmspcs.c491 c12 = sqrt(LCh1.C * LCh2.C);
496 return sqrt(Sqr(dL) + Sqr(dC) / Sqr(sc) + Sqr(dh) / Sqr(sh));
538 deltah = sqrt(Sqr(dE)-Sqr(Lab2->L-Lab1->L)-Sqr(deltaC));
544 g = sqrt(Sqr(Sqr(AveC))/(Sqr(Sqr(AveC))+14000));
558 rc = sqrt((AveC*AveC*AveC*AveC*AveC*AveC)/((AveC*AveC*AveC*AveC*AveC*AveC)+70000000));
561 bfd = sqrt(Sqr(deltaL)+Sqr(deltaC/dc)+Sqr(deltah/dh)+(rt*(deltaC/dc)*(deltah/dh)));
585 dh = sqrt(Sqr(dE)-Sqr(dL)-Sqr(dC));
600 f = sqrt((LCh1.C * LCh1.C * LCh1.C * LCh1.C)/((LCh1.C * LCh1.C * LCh1.C * LCh1.C)+1900));
602 cmc = sqrt(Sqr(dL/(l*sl))+Sqr(dC/(c*sc))+Sqr(dh/sh));
615 cmsFloat64Number C = sqrt( Sq
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/openjdk7/corba/src/share/classes/com/sun/corba/se/spi/monitoring/
H A DStatisticsAccumulator.java135 return Math.sqrt(
/openjdk7/jdk/src/share/native/java/lang/fdlibm/include/
H A Djfdlibm.h48 #define sqrt jsqrt macro
/openjdk7/jdk/src/share/classes/sun/java2d/pisces/
H A DHelpers.java31 import static java.lang.Math.sqrt;
59 final float sqrtDis = (float)Math.sqrt(dis);
124 final double phi = 1.0/3 * acos(-q / sqrt(-cb_p));
125 final double t = 2 * sqrt(-p);
132 final double sqrt_D = sqrt(D);
208 return (float)Math.sqrt(dx*dx + dy*dy);
H A DStroker.java31 import static java.lang.Math.sqrt;
135 final float len = (float) sqrt(lx*lx + ly*ly);
219 // this normal's length is at least 0.5 and at most sqrt(2)/2 (because
222 float nlen = (float) sqrt(nx*nx + ny*ny);
251 float cv = (float) ((4.0 / 3.0) * sqrt(0.5-cosext2) /
252 (1.0 + sqrt(cosext2+0.5)));
824 float len = (float) sqrt(dxs*dxs + dys*dys);
829 float len = (float) sqrt(dxf*dxf + dyf*dyf);
896 final float hypot = (float) sqrt(x12 * x12 + y12 * y12);
985 float len = (float) sqrt(dx
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H A DPiscesRenderingEngine.java181 widthScale = Math.sqrt(at.getDeterminant());
196 * |v'| = sqrt((Ax+Cy)^2+(Bx+Dy)^2)
197 * or |v'| = sqrt((AA+BB)x^2 + 2(AC+BD)xy + (CC+DD)y^2).
198 * Since sqrt is monotonic we can maximize |v'|^2
199 * instead and plug in the substitution y = sqrt(1 - x^2).
201 * rid of most of the sqrt terms.
231 double hypot = Math.sqrt(EB*EB + (EA-EC)*(EA-EC));
232 /* sqrt omitted, compare to squared limits below. */
235 widthScale = Math.sqrt(widthsquared);
302 double scale = Math.sqrt(
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/openjdk7/jaxp/src/com/sun/org/apache/xalan/internal/lib/
H A DExsltMath.java322 * The math:sqrt function returns the square root of a number.
327 public static double sqrt(double num) method in class:ExsltMath
329 return Math.sqrt(num);
/openjdk7/jdk/src/share/classes/java/lang/
H A DMath.java320 public static double sqrt(double a) { method in class:Math
321 return StrictMath.sqrt(a); // default impl. delegates to StrictMath
322 // Note that hardware sqrt instructions
325 // Math.sqrt in software.
1136 * Returns sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
1156 * @return sqrt(<i>x</i><sup>2</sup>&nbsp;+<i>y</i><sup>2</sup>)
/openjdk7/hotspot/src/share/vm/utilities/
H A DnumberSeq.cpp77 return sqrt(var);
103 return sqrt(var);
/openjdk7/jdk/src/share/classes/com/sun/media/sound/
H A DSoftFilter.java371 double q = Math.sqrt(2.0f) * resonance;
396 double q = Math.sqrt(2.0f) * resonance;
532 a0 = (float)(Math.sqrt(1 - Math.cos(c)) * Math.sqrt(0.5 * Math.PI));
537 q = (float)(Math.sqrt(0.5) * Math.pow(10.0, -(resonancedB / 20)));

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