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< / style >
< / head >
< body >
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< pre style = "font-family:monospace;font-size:12pt" >
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< a name = "l1" > < / a > < span class = cF0 > #< / span > < span class = cF1 > help_index< / span > < span class = cF0 > < / span > < span class = cF6 > " Math" < / span > < span class = cF0 >
< a name = "l2" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > U0< / span > < span class = cF0 > < / span > < span class = cF5 > R2P< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > *_mag=< / span > < span class = cF3 > NULL< / span > < span class = cF0 > , < / span > < span class = cF1 > F64< / span > < span class = cF0 > *_arg=< / span > < span class = cF3 > NULL< / span > < span class = cF0 > , < / span > < span class = cF1 > F64< / span > < span class = cF0 > x, < / span > < span class = cF1 > F64< / span > < span class = cF0 > y)
< a name = "l3" > < / a > {< / span > < span class = cF2 > //Rect to polar< / span > < span class = cF0 >
< a name = "l4" > < / a > < / span > < span class = cF2 > //Returns angle in range (-pi,pi]< / span > < span class = cF0 >
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< a name = "l5" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (_arg)
< a name = "l6" > < / a > *_arg = < / span > < span class = cF5 > Arg< / span > < span class = cF0 > (x, y);
< a name = "l7" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (_mag)
< a name = "l8" > < / a > *_mag = < / span > < span class = cF5 > Sqrt< / span > < span class = cF0 > (x * x + y * y);
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< a name = "l9" > < / a > }
< a name = "l10" > < / a >
< a name = "l11" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > U0< / span > < span class = cF0 > < / span > < span class = cF5 > P2R< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > *_x=< / span > < span class = cF3 > NULL< / span > < span class = cF0 > , < / span > < span class = cF1 > F64< / span > < span class = cF0 > *_y=< / span > < span class = cF3 > NULL< / span > < span class = cF0 > , < / span > < span class = cF1 > F64< / span > < span class = cF0 > mag, < / span > < span class = cF1 > F64< / span > < span class = cF0 > arg)
< a name = "l12" > < / a > {< / span > < span class = cF2 > //Polar to Rect< / span > < span class = cF0 >
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< a name = "l13" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (_x)
< a name = "l14" > < / a > *_x = mag * < / span > < span class = cF5 > Cos< / span > < span class = cF0 > (arg);
< a name = "l15" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (_y)
< a name = "l16" > < / a > *_y = mag * < / span > < span class = cF5 > Sin< / span > < span class = cF0 > (arg);
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< a name = "l17" > < / a > }
< a name = "l18" > < / a >
< a name = "l19" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > F64< / span > < span class = cF0 > < / span > < span class = cF5 > Wrap< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > theta, < / span > < span class = cF1 > F64< / span > < span class = cF0 > base=-< / span > < span class = cF3 > pi< / span > < span class = cF0 > )
< a name = "l20" > < / a > {< / span > < span class = cF2 > //Returns angle in range [base,base+2*pi)< / span > < span class = cF0 >
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< a name = "l21" > < / a > < / span > < span class = cF1 > F64< / span > < span class = cF0 > res = theta % (< / span > < span class = cFE > 2< / span > < span class = cF0 > * < / span > < span class = cF3 > pi< / span > < span class = cF0 > );
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< a name = "l22" > < / a >
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< a name = "l23" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (res > = base + < / span > < span class = cFE > 2< / span > < span class = cF0 > * < / span > < span class = cF3 > pi< / span > < span class = cF0 > )
< a name = "l24" > < / a > res -= < / span > < span class = cFE > 2< / span > < span class = cF0 > * < / span > < span class = cF3 > pi< / span > < span class = cF0 > ;
< a name = "l25" > < / a > < / span > < span class = cF1 > else< / span > < span class = cF0 > < / span > < span class = cF1 > if< / span > < span class = cF0 > (res < base)
< a name = "l26" > < / a > res += < / span > < span class = cFE > 2< / span > < span class = cF0 > * < / span > < span class = cF3 > pi< / span > < span class = cF0 > ;
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< a name = "l27" > < / a >
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< a name = "l28" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > res;
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< a name = "l29" > < / a > }
< a name = "l30" > < / a >
< a name = "l31" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > I64< / span > < span class = cF0 > < / span > < span class = cF5 > DistSqrI64< / span > < span class = cF0 > (< / span > < span class = cF9 > I64< / span > < span class = cF0 > x1, < / span > < span class = cF9 > I64< / span > < span class = cF0 > y1, < / span > < span class = cF9 > I64< / span > < span class = cF0 > x2, < / span > < span class = cF9 > I64< / span > < span class = cF0 > y2)
< a name = "l32" > < / a > {< / span > < span class = cF2 > //Distance-squared between 2 points.< / span > < span class = cF0 >
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< a name = "l33" > < / a > < / span > < span class = cF9 > I64< / span > < span class = cF0 > dx = x1 - x2, dy = y1 - y2;
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< a name = "l34" > < / a >
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< a name = "l35" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > dx * dx + dy * dy;
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< a name = "l36" > < / a > }
< a name = "l37" > < / a >
< a name = "l38" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > F64< / span > < span class = cF0 > < / span > < span class = cF5 > ASin< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > s)
< a name = "l39" > < / a > {< / span > < span class = cF2 > //Arc Sin (Inverse Sin).< / span > < span class = cF0 >
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< a name = "l40" > < / a > < / span > < span class = cF1 > F64< / span > < span class = cF0 > c;
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< a name = "l41" > < / a >
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< a name = "l42" > < / a > c = s * s;
< a name = "l43" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (c > = < / span > < span class = cFE > 1< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > )
< a name = "l44" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cF3 > pi< / span > < span class = cF0 > / < / span > < span class = cFE > 2< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > ;
< a name = "l45" > < / a > c = < / span > < span class = cF5 > Sqrt< / span > < span class = cF0 > (< / span > < span class = cFE > 1< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > - c);
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< a name = "l46" > < / a >
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< a name = "l47" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cF5 > ATan< / span > < span class = cF0 > (s / c);
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< a name = "l48" > < / a > }
< a name = "l49" > < / a >
< a name = "l50" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > F64< / span > < span class = cF0 > < / span > < span class = cF5 > ACos< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > c)
< a name = "l51" > < / a > {< / span > < span class = cF2 > //Arc Cos (Inverse Cos).< / span > < span class = cF0 >
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< a name = "l52" > < / a > < / span > < span class = cF1 > F64< / span > < span class = cF0 > s;
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< a name = "l53" > < / a >
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< a name = "l54" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (!c)
< a name = "l55" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cF3 > pi< / span > < span class = cF0 > / < / span > < span class = cFE > 2< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > ;
< a name = "l56" > < / a > s = c * c;
< a name = "l57" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (s > = < / span > < span class = cFE > 1< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > )
< a name = "l58" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cFE > 0< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > ;
< a name = "l59" > < / a > s = < / span > < span class = cF5 > Sqrt< / span > < span class = cF0 > (< / span > < span class = cFE > 1< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > - s);
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< a name = "l60" > < / a >
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< a name = "l61" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cF5 > ATan< / span > < span class = cF0 > (s / c);
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< a name = "l62" > < / a > }
< a name = "l63" > < / a >
< a name = "l64" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > F64< / span > < span class = cF0 > < / span > < span class = cF5 > Sinh< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > x)
< a name = "l65" > < / a > {< / span > < span class = cF2 > //Hyperbolic Sine.< / span > < span class = cF0 >
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< a name = "l66" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cFE > 0< / span > < span class = cF0 > .< / span > < span class = cFE > 5< / span > < span class = cF0 > * (< / span > < span class = cF5 > Exp< / span > < span class = cF7 > (< / span > < span class = cF0 > x< / span > < span class = cF7 > )< / span > < span class = cF0 > - < / span > < span class = cF5 > Exp< / span > < span class = cF7 > (< / span > < span class = cF0 > -x< / span > < span class = cF7 > )< / span > < span class = cF0 > );
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< a name = "l67" > < / a > }
< a name = "l68" > < / a >
< a name = "l69" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF1 > F64< / span > < span class = cF0 > < / span > < span class = cF5 > Cosh< / span > < span class = cF0 > (< / span > < span class = cF1 > F64< / span > < span class = cF0 > x)
< a name = "l70" > < / a > {< / span > < span class = cF2 > //Hyperbolic Cosine.< / span > < span class = cF0 >
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< a name = "l71" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > < / span > < span class = cFE > 0< / span > < span class = cF0 > .< / span > < span class = cFE > 5< / span > < span class = cF0 > * (< / span > < span class = cF5 > Exp< / span > < span class = cF7 > (< / span > < span class = cF0 > x< / span > < span class = cF7 > )< / span > < span class = cF0 > + < / span > < span class = cF5 > Exp< / span > < span class = cF7 > (< / span > < span class = cF0 > -x< / span > < span class = cF7 > )< / span > < span class = cF0 > );
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< a name = "l72" > < / a > }
< a name = "l73" > < / a >
< a name = "l74" > < / a > #< / span > < span class = cF1 > help_index< / span > < span class = cF0 > < / span > < span class = cF6 > " Math/Complex;Data Types/Complex" < / span > < span class = cF0 >
< a name = "l75" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CAdd< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *sum, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n1, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n2)
< a name = "l76" > < / a > {< / span > < span class = cF2 > //sum=n1+n2< / span > < span class = cF0 >
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< a name = "l77" > < / a > sum-> x = n1-> x + n2-> x;
< a name = "l78" > < / a > sum-> y = n1-> y + n2-> y;
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< a name = "l79" > < / a >
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< a name = "l80" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > sum;
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< a name = "l81" > < / a > }
< a name = "l82" > < / a >
< a name = "l83" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CSub< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *diff, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n1, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n2)
< a name = "l84" > < / a > {< / span > < span class = cF2 > //diff=n1-n2< / span > < span class = cF0 >
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< a name = "l85" > < / a > diff-> x = n1-> x - n2-> x;
< a name = "l86" > < / a > diff-> y = n1-> y - n2-> y;
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< a name = "l87" > < / a >
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< a name = "l88" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > diff;
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< a name = "l89" > < / a > }
< a name = "l90" > < / a >
< a name = "l91" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CMul< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *prod, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n1, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n2)
< a name = "l92" > < / a > {< / span > < span class = cF2 > //prod=n1*n2< / span > < span class = cF0 >
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< a name = "l93" > < / a > prod-> x = n1-> x * n2-> x - n1-> y * n2-> y;
< a name = "l94" > < / a > prod-> y = n1-> x * n2-> y + n1-> y * n2-> x;
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< a name = "l95" > < / a >
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< a name = "l96" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > prod;
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< a name = "l97" > < / a > }
< a name = "l98" > < / a >
< a name = "l99" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CDiv< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *quot, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n1, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *n2)
< a name = "l100" > < / a > {< / span > < span class = cF2 > //quot=n1/n2< / span > < span class = cF0 >
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< a name = "l101" > < / a > < / span > < span class = cF1 > F64< / span > < span class = cF0 > m1, arg1, m2, arg2;
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< a name = "l102" > < / a >
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< a name = "l103" > < / a > < / span > < span class = cF5 > R2P< / span > < span class = cF0 > (& m1, & arg1, n1-> x, n1-> y);
< a name = "l104" > < / a > < / span > < span class = cF5 > R2P< / span > < span class = cF0 > (& m2, & arg2, n2-> x, n2-> y);
< a name = "l105" > < / a > m1 /= m2;
< a name = "l106" > < / a > arg1 -= arg2;
< a name = "l107" > < / a > quot-> x = m1 * < / span > < span class = cF5 > Cos< / span > < span class = cF0 > (arg1);
< a name = "l108" > < / a > quot-> y = m1 * < / span > < span class = cF5 > Sin< / span > < span class = cF0 > (arg1);
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< a name = "l109" > < / a >
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< a name = "l110" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > quot;
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< a name = "l111" > < / a > }
< a name = "l112" > < / a >
< a name = "l113" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CScale< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *dst, < / span > < span class = cF1 > F64< / span > < span class = cF0 > s)
< a name = "l114" > < / a > {< / span > < span class = cF2 > //dst*=s< / span > < span class = cF0 >
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< a name = "l115" > < / a > dst-> x *= s;
< a name = "l116" > < / a > dst-> y *= s;
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< a name = "l117" > < / a >
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< a name = "l118" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > dst;
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< a name = "l119" > < / a > }
< a name = "l120" > < / a >
< a name = "l121" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CCopy< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *dst, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *src)
< a name = "l122" > < / a > {< / span > < span class = cF2 > //dst=src< / span > < span class = cF0 >
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< a name = "l123" > < / a > dst-> x = src-> x;
< a name = "l124" > < / a > dst-> y = src-> y;
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< a name = "l125" > < / a >
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< a name = "l126" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > dst;
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< a name = "l127" > < / a > }
< a name = "l128" > < / a >
< a name = "l129" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CEqu< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *dst, < / span > < span class = cF1 > F64< / span > < span class = cF0 > x, < / span > < span class = cF1 > F64< / span > < span class = cF0 > y)
< a name = "l130" > < / a > {< / span > < span class = cF2 > //dst=(x,y)< / span > < span class = cF0 >
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< a name = "l131" > < / a > dst-> x = x;
< a name = "l132" > < / a > dst-> y = y;
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< a name = "l133" > < / a >
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< a name = "l134" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > dst;
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< a name = "l135" > < / a > }
< a name = "l136" > < / a >
< a name = "l137" > < / a > < / span > < span class = cF1 > public< / span > < span class = cF0 > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *< / span > < span class = cF5 > CPoly< / span > < span class = cF0 > (< / span > < span class = cF9 > Complex< / span > < span class = cF0 > *dst, < / span > < span class = cF9 > I64< / span > < span class = cF0 > n, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *zeros, < / span > < span class = cF9 > Complex< / span > < span class = cF0 > *x)
< a name = "l138" > < / a > {< / span > < span class = cF2 > //Eval complex polynomial< / span > < span class = cF0 >
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< a name = "l139" > < / a > < / span > < span class = cF9 > I64< / span > < span class = cF0 > i;
< a name = "l140" > < / a > < / span > < span class = cF9 > Complex< / span > < span class = cF0 > n1, n2;
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< a name = "l141" > < / a >
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< a name = "l142" > < / a > < / span > < span class = cF1 > if< / span > < span class = cF0 > (n > < / span > < span class = cFE > 0< / span > < span class = cF0 > )
< a name = "l143" > < / a > < / span > < span class = cF7 > {< / span > < span class = cF0 >
< a name = "l144" > < / a > < / span > < span class = cF5 > CSub< / span > < span class = cF0 > (dst, x, & zeros[< / span > < span class = cFE > 0< / span > < span class = cF0 > ]);
< a name = "l145" > < / a > < / span > < span class = cF1 > for< / span > < span class = cF0 > (i = < / span > < span class = cFE > 1< / span > < span class = cF0 > ; i < n; i++)
< a name = "l146" > < / a > {
< a name = "l147" > < / a > < / span > < span class = cF5 > CCopy< / span > < span class = cF0 > (& n1, dst);
< a name = "l148" > < / a > < / span > < span class = cF5 > CMul< / span > < span class = cF0 > (dst, & n1, < / span > < span class = cF5 > CSub< / span > < span class = cF7 > (< / span > < span class = cF0 > & n2, x, & zeros[i]< / span > < span class = cF7 > )< / span > < span class = cF0 > );
< a name = "l149" > < / a > }
< a name = "l150" > < / a > < / span > < span class = cF7 > }< / span > < span class = cF0 >
< a name = "l151" > < / a > < / span > < span class = cF1 > else< / span > < span class = cF0 >
< a name = "l152" > < / a > < / span > < span class = cF5 > CEqu< / span > < span class = cF0 > (dst, < / span > < span class = cFE > 1< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > , < / span > < span class = cFE > 0< / span > < span class = cF0 > .< / span > < span class = cFE > 0< / span > < span class = cF0 > );
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< a name = "l153" > < / a >
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< a name = "l154" > < / a > < / span > < span class = cF1 > return< / span > < span class = cF0 > dst;
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< a name = "l155" > < / a > }
< / span > < / pre > < / body >
< / html >
