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2468 2399 y Fl(\000)f Fn(\032)p Fp(.)801 4369 y @beginspecial
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2782 %%EndDocument
2783 @endspecial 515 4552 a(Figure)33 b(4:)51 b(Calculation)33
2784 b(of)h(the)h(distance)f Fn(d)h Fp(from)f(p)r(oin)n(t)h(\()p
2785 Fn(z)t(;)14 b(x)p Fp(\))34 b(to)g(the)h(fan's)f(neutral)515
2786 4652 y(\014bre,)28 b(in)g(the)g(case)f(of)h(the)h(starting)e(quarter-w)
2787 n(a)n(v)n(e.)34 b(If)29 b Fn(z)e(<)c Fl(\000)p Fn(l)29
2788 b Fp(and)f(the)g(input)h(p)r(oin)n(t)f(is)515 4751 y(b)r(elo)n(w)g(the)
2789 h Fn(B)t(B)1029 4721 y Fe(0)1082 4751 y Fp(line,)g(then)g
2790 Fn(d)d Fp(=)e Fn(x)p Fp(.)41 b(If)29 b Fn(z)1849 4721
2791 y Fe(0)1897 4751 y Fn(<)c(l)r Fp(,)j(then)h Fn(d)d Fp(=)2413
2792 4680 y Fd(p)p 2496 4680 714 4 v 71 x Fp(\()p Fn(x)2575
2793 4727 y Fe(0)2618 4751 y Fl(\000)18 b Fn(\032)p Fp(\))2776
2794 4727 y Ff(2)2832 4751 y Fp(+)g(\()p Fn(z)2990 4727 y
2795 Fe(0)3031 4751 y Fl(\000)g Fn(l)r Fp(\))3173 4727 y Ff(2)3229
2796 4751 y Fl(\000)h Fn(\032)p Fp(,)515 4862 y(if)28 b Fn(z)634
2797 4832 y Fe(0)679 4862 y Fn(<)23 b(A)p Fp(,)28 b(then)g
2798 Fn(d)23 b Fp(=)g Fn(x)1270 4832 y Fe(0)1294 4862 y Fp(,)28
2799 b(else)f Fn(d)c Fp(=)1656 4791 y Fd(p)p 1739 4791 942
2800 4 v 71 x Fp(\()p Fn(x)1818 4838 y Fe(0)1860 4862 y Fp(+)18
2801 b Fn(\032)p Fp(\))2018 4838 y Ff(2)2074 4862 y Fp(+)g(\()p
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2804 Fn(\032)p Fp(.)1926 5255 y(7)p eop
2805 %%Page: 8 8
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2807 (quarter-w)n(a)n(v)n(e,)e(but)i(in)n(to)g(the)g(cross)f(p)r(oin)n(t)h
2808 (of)g(the)722 623 y(straigh)n(t)i(part)g(that)h(con)n(tin)n(ues)f(in)n
2809 (to)g(the)h(lo)r(cal)f Fn(O)r(Z)34 b Fp(axis)27 b(\(Fig.)g(4\).)639
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2811 (br)o(e\(c)o(on)o(st)d(Hep3Vector)j(&p\))i(const)722
2812 888 y Fp(This)19 b(function)g(is)f(nearly)f(iden)n(tical)h(to)h(the)f
2813 (function)h Fj(DistanceToTheNeut)o(ra)o(lFi)o(br)o(e)722
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2815 b(The)25 b(function)g(returns)f(the)i(p)r(oin)n(t)e(on)h(the)g(v)n
2816 (erti-)722 1088 y(cal)18 b(fan)h(neutral)f(\014bre)g(whic)n(h)g(is)g
2817 (the)h(\\nearest")e(to)h Fn(p)g Fp(as)g(de\014ned)g(b)n(y)h
2818 Fj(DistanceToTheNe)o(ut)o(ral)o(Fi)o(bre)o Fp(.)639 1254
2819 y Fl(\017)41 b Fj(double)g(DistanceToTheNear)o(est)o(Fa)o(n\()o(Hep)o
2820 (3V)o(ect)o(or)c(&p\))722 1353 y Fp(First)19 b(the)g(function)h
2821 (determines)e(the)i(fan)f(nearest)f(to)g(the)i(giv)n(en)e(p)r(oin)n(t.)
2822 34 b(It)19 b(searc)n(hes)722 1453 y(for)30 b(a)h(pair)f(of)h(fans)f(of)
2823 h Fo(another)i(typ)l(e)e Fp(\(i.)47 b(e.)f Fo(ele)l(ctr)l(o)l(des)p
2824 Fp(,)32 b(if)g(the)f(calculator)e(is)i(for)722 1553 y
2825 Fo(absorb)l(ers)p Fp(,)38 b(and)c(vice)g(v)n(ersa\))f(con)n(taining)g
2826 (the)i(p)r(oin)n(t)f(b)r(et)n(w)n(een)h(them)g(using)f(the)722
2827 1652 y(follo)n(wing)27 b(algorithm.)36 b(First)27 b(of)h(all,)f(using)g
2828 (the)h(form)n(ula)877 1835 y Fn(i)23 b Fp(=)g(in)n(t\(\()p
2829 Fn(p)1222 1847 y Fm(')1288 1835 y Fl(\000)18 b Fn(\031)s(=)p
2830 Fp(2)g Fl(\000)g Fj(ZeroFanPhi)p 2051 1835 25 4 v 26
2831 w(ForDetNeaFan)-5 b Fp(\))p Fn(=)p Fj(FanStepOnPhi)g
2832 Fp(\))722 2017 y(the)33 b(n)n(um)n(b)r(er)f(of)h(one)f(of)g(the)h
2833 (nearest-to-the-p)r(oin)n(t)e(fans)h(is)g(determined.)52
2834 b(Next,)722 2117 y(the)34 b(neigh)n(b)r(oring)e(fans)i(are)e(c)n(hec)n
2835 (k)n(ed)g(one)i(b)n(y)f(one)g(un)n(til)h(the)g(fan's)f(pair)g(will)h(b)
2836 r(e)722 2217 y(found)26 b(where)g(the)g(distance)f(from)h
2837 Fn(p)f Fp(to)h(the)g(neutral)f(\014bre)h(of)g(the)g(\014rst)f(fan)h(of)
2838 g(the)722 2316 y(pair)21 b(is)h(p)r(ositiv)n(e)f(and)g(the)h(distance)f
2839 (to)h(the)g(second)f(one)g(is)g(negativ)n(e.)34 b(That)22
2840 b(means)722 2416 y(that)31 b Fn(p)g Fp(is)f(lo)r(cated)g(b)r(et)n(w)n
2841 (een)h(the)g(fans)f(of)g(this)h(pair.)45 b(There)30 b(is)h(a)f(fan)g
2842 (of)h(curren)n(t)722 2516 y(t)n(yp)r(e)26 b(b)r(et)n(w)n(een)f(them)h
2843 (whic)n(h)f(is)g(the)g(nearest)g(one)f(to)h(the)h(p)r(oin)n(t)f
2844 Fn(p)p Fp(.)36 b Fj(m)p 2929 2516 27 4 v 31 w(fan)p 3092
2845 2516 V 30 w(number)722 2615 y Fp(is)28 b(set)f(to)h(n)n(um)n(b)r(er)f
2846 (of)h(the)g(nearest)e(fan.)722 2748 y(F)-7 b(or)18 b(mo)r(dule-t)n(yp)r
2847 (e)h(calculators,)g Fn(')p Fp(-edges)f(of)h(the)g(mo)r(dule)g(are)e
2848 (prop)r(erly)h(accoun)n(ted)722 2848 y(for.)722 2980
2849 y(Returns)42 b(distance)f(to)g(the)h(nearest)e(fan's)i(neutral)f
2850 (\014bre.)78 b(Input)42 b(v)n(ector)e Fn(p)h Fp(is)722
2851 3080 y(rotated)27 b(to)h(the)g(v)n(ertical)e(fan's)h(co)r(ordinate)g
2852 (system.)639 3246 y Fl(\017)41 b Fj(std::pair<int,)d(int>)k
2853 (GetPhiGapAndSide)o(\(co)o(ns)o(t)37 b(Hep3Vector)j(&p\))722
2854 3346 y Fp(F)-7 b(ollo)n(ws)21 b(similar)g(to)g Fj(DistanceToTheNear)o
2855 (es)o(tFa)o(n\()o(\))16 b Fp(algorithm)k(to)i(\014nd)g(the)g(gap)722
2856 3445 y(con)n(taining)29 b(the)g(input)i(p)r(oin)n(t.)42
2857 b(Num)n(b)r(er)29 b(of)h(this)f(gap)g(is)g(the)h(n)n(um)n(b)r(er)f(of)g
2858 (the)h(fan)722 3545 y(of)23 b Fo(another)k(typ)l(e)d
2859 Fp(as)e(w)n(ell)h(and)g(it)h(is)f(returned)g(as)f(a)h(\014rst)g(mem)n
2860 (b)r(er)g(of)h(pair.)34 b(Second)722 3645 y(mem)n(b)r(er)27
2861 b(is)f(either)g Fl(\000)p Fp(1)g(if)h(the)g(p)r(oin)n(t)g(is)f(closer)f
2862 (to)i(the)g(fan)f(lo)r(cated)h(at)f(less)g Fn(')h Fp(or)e(1)722
2863 3744 y(if)j(it)g(is)g(closer)e(to)i(the)g(greater-)p
2864 Fn(')d Fp(fan.)722 3877 y(The)j(function)g(a\013ects)g
2865 Fj(m)p 1524 3877 V 31 w(fan)p 1687 3877 V 30 w(number)p
2866 Fp(.)639 4043 y Fl(\017)41 b Fj(int)i(GetPhiGap\(const)37
2867 b(Hep3Vector)i(&p\))722 4143 y Fp(This)28 b(is)f(a)h(shortcut)f(to)g
2868 Fj(GetPhiGapAndSide\()o(p\))o(.f)o(irs)o(t)p Fp(.)639
2869 4309 y Fl(\017)41 b Fj(double)g(get)p 1164 4309 V 31
2870 w(sagging\(const)d(Hep3Vector)h(&p\))k(const)722 4408
2871 y Fp(The)25 b(function)g(returns)f(sagging)e(v)-5 b(alue)25
2872 b(for)f(giv)n(en)f(p)r(oin)n(t)i Fn(p)f Fp(in)h(v)n(ertical)e(fan's)i
2873 (co)r(or-)722 4508 y(dinate)32 b(system.)48 b Fj(m)p
2874 1348 4508 V 31 w(fan)p 1511 4508 V 30 w(number)29 b Fp(could)i(b)r(e)h
2875 (used)f(to)g(in)n(tro)r(duce)g(dep)r(endence)h(on)722
2876 4608 y(fan)e(n)n(um)n(b)r(er.)42 b(F)-7 b(unction)30
2877 b(used)f(to)h(calculate)e(sagging)g(v)-5 b(alue)29 b(should)g(b)r(e)h
2878 (smo)r(oth.)722 4707 y(Apparen)n(tly)d(it)h(will)g(b)r(eing)g(tuned)g
2879 (later.)639 4873 y Fl(\017)41 b Fj(int)i(PhiGapNumberFor)o(Whe)o(el)o
2880 (\(in)o(t\))37 b(const)722 4973 y Fp(Con)n(v)n(erts)26
2881 b(gap)h(n)n(um)n(b)r(er)g(in)h(mo)r(dule)g(in)n(to)f(gap)g(n)n(um)n(b)r
2882 (er)h(in)f(wheel.)1926 5255 y(8)p eop
2883 %%Page: 9 9
2884 9 8 bop 639 523 a Fl(\017)41 b Fp(There)28 b(are)f(also)g(a)g(lot)h(of)
2885 g Fj(Get)p Fp(-functions)f(for)h(data)f(mem)n(b)r(ers,)h(see)g(class)f
2886 (descrip-)722 623 y(tion)h(in)g(the)g(header)f(\014le.)515
2887 896 y Fq(4)134 b Fk(LArWheelSolid)515 1078 y Fj(LArWheelSolid)13
2888 b Fp(is)18 b(a)g(custom)g(Gean)n(t4)g(solid.)33 b(The)19
2889 b(class)e(is)h(lo)r(cated)g(in)h Fj(Simulation/G4Uti)o(lit)o(ie)o(s/G)o
2890 (eo)o(2G)o(4)515 1178 y Fp(pac)n(k)-5 b(age.)45 b(There)31
2891 b(is)f(exact)h(cop)n(y)f(of)h(the)g(class)f(in)i Fj(LArCalorimeter/)o
2892 (LAr)o(G4)o(/L)o(ArG)o(4E)o(C)515 1277 y Fp(pac)n(k)-5
2893 b(age;)26 b(it)i(will)g(disapp)r(ear)e(as)h(so)r(on)g(as)g(p)r
2894 (ossible.)639 1377 y(No)n(w)22 b Fj(LArWheelSolid)17
2895 b Fp(has)22 b(an)g(option)g(to)g(represen)n(t)f(a)h(mo)r(dule)h
2896 (instead)f(of)g(a)g(wheel.)639 1476 y(T)-7 b(o)27 b(do:)37
2897 b(to)28 b(mak)n(e)e(the)i(class)f(use)g Fj(MsgStream)d
2898 Fp(and)k(database)e(services.)515 1708 y Fh(4.1)112 b(Gean)m(t4)38
2899 b(requiremen)m(ts)515 1861 y Fp(In)32 b(the)h(Gean)n(t4)f(pac)n(k)-5
2900 b(age)31 b(a)h(solid)g(is)g(a)g(class;)i(when)f(y)n(ou)e(create)h(a)g
2901 (new)g(t)n(yp)r(e)h(of)f(solid)515 1961 y(it)g(m)n(ust)h(b)r(e)f
2902 (inherited)g(from)g(the)h(base)e(class)g Fj(G4VSolid)e
2903 Fp(and)j(the)h(follo)n(wing)e(metho)r(ds)515 2060 y(m)n(ust)c(b)r(e)h
2904 (implemen)n(ted)h([7)o(]:)639 2221 y Fl(\017)41 b Fj(Inside\()q
2905 Fn(~)-43 b(p)m Fj(\))25 b Fp(|)g(determines)f(if)i(the)f(p)r(oin)n(t)g
2906 Fn(p)g Fp(is)g(inside)g(of)g(solid,)g(on)f(its)h(surface,)g(or)722
2907 2321 y(outside.)639 2484 y Fl(\017)41 b Fj(DistanceToIn\()q
2908 Fn(~)-43 b(p)-5 b Fj(\),)42 b(DistanceToOut\()q Fn(~)-43
2909 b(p)-6 b Fj(\))43 b Fp(|)g(determines)f(the)h(shortest)f(dis-)722
2910 2584 y(tance)26 b(from)f(the)h(p)r(oin)n(t)g Fn(p)f Fp(lo)r(cated)h
2911 (outside)f(or)g(inside)h(of)f(the)h(solid)f(\(resp)r(ectiv)n(ely\))722
2912 2683 y(to)j(the)g(solid)f(surface.)639 2847 y Fl(\017)41
2913 b Fj(SurfaceNormal\()q Fn(~)-43 b(p)-6 b Fj(\))23 b Fp(|)f(determines)h
2914 (a)f(v)n(ector)f(normal)h(to)g(the)h(solid)f(surface)g(and)722
2915 2946 y(going)27 b(through)g(the)h(p)r(oin)n(t)f Fn(p)p
2916 Fp(.)639 3110 y Fl(\017)41 b Fj(DistanceToIn)p Fp(\()q
2917 Fn(~)-43 b(p)-5 b(;)11 b(~)-39 b(v)t Fp(\),)34 b Fj(DistanceToOut)p
2918 Fp(\()q Fn(~)-43 b(p)-5 b(;)11 b(~)-39 b(v)s Fp(\))33
2919 b(|)g(compute)g(the)h(distance)e(from)722 3209 y(the)25
2920 b(p)r(oin)n(t)f Fn(p)g Fp(lo)r(cated)g(outside)g(or)f(inside)i(of)f
2921 (the)g(solid)g(\(resp)r(ectiv)n(ely\))g(to)g(the)g(solid)722
2922 3309 y(surface)j(along)f(the)i(arbitrary)e(v)n(ector)d
2923 Fn(~)-39 b(v)s Fp(.)639 3472 y Fl(\017)41 b Fj(GetEntityType)p
2924 Fp(,)36 b Fj(DescribeYourselfT)o(o)p Fp(,)f Fj(GetExtent)p
2925 Fp(,)j Fj(CreatePolyhedro)o(n)p Fp(,)722 3572 y Fj(CreateNURBS)23
2926 b Fp(|)28 b(sp)r(ecial)f(functions)h(for)f(trac)n(king)f(and)i(solid)f
2927 (dra)n(wing.)639 3733 y(One)j(imp)r(ortan)n(t)f(thing)h(whic)n(h)f(I)h
2928 (encoun)n(tered)f(is)g(the)h(follo)n(wing:)40 b(the)30
2929 b(information)515 3833 y(giv)n(en)g(b)n(y)h(the)g(functions)g(men)n
2930 (tioned)g(ab)r(o)n(v)n(e)f(m)n(ust)h(b)r(e)g(self-consisten)n(t.)46
2931 b(F)-7 b(or)30 b(example,)515 3932 y(if)f Fj(DistanceToIn)p
2932 Fp(\()q Fn(~)-43 b(p)-5 b(;)11 b(~)-39 b(v)s Fp(\))29
2933 b(returns)f(v)-5 b(alue)29 b Fn(d)g Fp(then)g Fj(Inside\()q
2934 Fn(~)-43 b(p)16 b Fp(+)j Fn(d)p Fl(j)m Fn(~)-39 b(v)s
2935 Fl(j)p Fp(\))29 b(should)g(not)g(return)515 4032 y(\\outside".)38
2936 b(Otherwise)27 b(the)i(Gean)n(t4)f(trac)n(king)e(algorithm)i(ma)n(y)f
2937 (en)n(ter)h(in)n(to)g(an)g(in\014nite)515 4131 y(lo)r(op)f(at)g(the)h
2938 (solid)g(surface.)515 4363 y Fh(4.2)112 b(List)37 b(of)g(data)h(mem)m
2939 (b)s(ers)f(of)h Fg(LArWheelSolid)639 4516 y Fl(\017)j
2940 Fj(LArWheelSolid)p 1299 4516 27 4 v 26 w(t)i(Type)26
2941 b Fp(|)i(wheel)g(t)n(yp)r(e)g(\(see)f(constructor\).)639
2942 4679 y Fl(\017)41 b Fj(LArWheelCalculato)o(r)c(*Calculator)24
2943 b Fp(|)j(p)r(oin)n(ter)g(to)h(calculator)e(ob)5 b(ject.)639
2944 4843 y Fl(\017)41 b Fj(G4double)g(FanHalfThicknes)o(s)22
2945 b Fp(|)27 b(half)h(of)g(a)f(fan)g(thic)n(kness.)639 5006
2946 y Fl(\017)41 b Fj(FanPhiAmplitude)22 b Fp(|)27 b(p)r(olar)g(angle)g
2947 (half-size)g(of)h(a)f(fan)g(plus)h(some)f(safet)n(y)g(pad.)1926
2948 5255 y(9)p eop
2949 %%Page: 10 10
2950 10 9 bop 639 523 a Fl(\017)41 b Fj(static)g(const)h(G4double)e
2951 (Tolerance)32 b Fp(|)k(precision)e(of)i(solid)f(b)r(oundary)f(de-)722
2952 623 y(termination)29 b(\(see)f(Gean)n(t4)g(do)r(cumen)n(tation)g(for)g
2953 (determination)h(of)f(surface)g(of)g(a)722 722 y(solid\).)639
2954 882 y Fl(\017)41 b Fj(static)g(const)h(G4double)e(IterationPrecisio)o
2955 (n)29 b Fp(|)35 b(precision)e(required)h(to)722 982 y(stop)28
2956 b(iterations.)639 1142 y Fl(\017)41 b Fj(static)g(const)h(G4double)e
2957 (IterationPrecisio)o(n2)12 b Fp(|)18 b(second)g(p)r(o)n(w)n(er)f(of)h
2958 Fj(IterationPrecisio)o(n)p Fp(.)639 1302 y Fl(\017)41
2959 b Fj(static)g(const)h(unsigned)e(int)j(IterationsLimit)27
2960 b Fp(|)33 b(maximal)g(n)n(um)n(b)r(er)g(of)722 1402 y(iterations;)27
2961 b(required)g(to)g(a)n(v)n(oid)f(in\014nite)j(lo)r(ops)e(in)g(case)g(of)
2962 h(some)f(error.)639 1562 y Fl(\017)41 b Fj(G4Polycone)f
2963 (*BoundingPolycon)o(e)13 b Fp(|)20 b(an)f(ob)5 b(ject)20
2964 b(of)f(class)g Fj(G4Polycone)p Fp(,)e(whic)n(h)722 1661
2965 y(represen)n(ts)24 b(a)g(solid's)h(b)r(oundary)f(surface.)35
2966 b(It)26 b(helps)f(to)g(pro)r(cess)f(easily)g(the)h(p)r(oin)n(ts)722
2967 1761 y(whic)n(h)19 b(are)g(certainly)f(outside)h(of)g(the)h(solid.)33
2968 b(It)20 b(is)f(also)f(used)h(to)g(represen)n(t)f(the)h(solid)722
2969 1861 y(for)33 b(some)f(Gean)n(t4)g(sp)r(ecial)g(functions.)53
2970 b(In)33 b(case)f(of)h(mo)r(dule)g(this)g(is)f(a)h(p)r(olycone)722
2971 1960 y(sector.)639 2120 y Fl(\017)41 b Fj(G4Polycone)f(**FanSection)p
2972 Fp(,)15 b Fj(G4int)42 b(MaxFanSection)p Fp(,)15 b Fj(G4double)40
2973 b(*FanSectionLimit)o(s)p Fp(,)722 2220 y Fj(G4int)i(MaxFanSectionLim)o
2974 (it)o(s)33 b Fp(|)40 b(arra)n(y)d Fj(FanSection)f Fp(con)n(tains)i(ob)5
2975 b(jects)39 b(of)722 2320 y(t)n(yp)r(e)19 b Fj(G4Polycone)14
2976 b Fp(corresp)r(onding)j(to)h(sections)g(of)g(the)h(v)n(ertical)e(fan.)
2977 34 b Fj(FanSection[i])722 2419 y Fp(is)23 b(a)g(p)r(olyconical)f
2978 (sector)g(con)n(taining)g(a)g(half-w)n(a)n(v)n(e)g(of)h(the)g(v)n
2979 (ertical)f(fan.)35 b(First)23 b(and)722 2519 y(last)h(quarter-w)n(a)n
2980 (v)n(es)c(ha)n(v)n(e)i(t)n(w)n(o)h(fan)h(sections,)g(for)f(the)h
2981 (starting/\014nishing)e(fold)i(re-)722 2618 y(gion)k(and)g(for)g(the)g
2982 (rest)g(of)g(the)h(quarter-w)n(a)n(v)n(e)c(separately)-7
2983 b(.)37 b Fn(Z)6 b Fp(-b)r(oundaries)27 b(of)h(fan)722
2984 2718 y(sections)k(are)e(also)h(stored)g(in)i(the)f(arra)n(y)d
2985 Fj(FanSectionLimits)p Fp(.)44 b(Data)31 b(mem)n(b)r(ers)722
2986 2818 y Fj(MaxFanSection)26 b Fp(and)k Fj(MaxFanSectionLim)o(its)24
2987 b Fp(con)n(tain)30 b(the)h(maxim)n(um)f(\(for)g(a)722
2988 2917 y(giv)n(en)21 b(wheel)h(t)n(yp)r(e\))g(n)n(um)n(b)r(ers)f(of)g
2989 (fan)h(sections)e(and)i(their)f(edges)g(corresp)r(ondingly)-7
2990 b(.)722 3047 y(The)33 b(p)r(olar)e(angle)g(size)h(of)g(a)g(fan)g
2991 (section)g(is)g(enough)g(to)g(capture)g(all)g(the)g(p)r(oin)n(ts)722
2992 3147 y(b)r(et)n(w)n(een)c(the)g(v)n(ertical)e(fan)i(and)f(its)h
2993 (nearest)f(neigh)n(b)r(ors.)722 3277 y(The)j Fj(FanSection[i])25
2994 b Fp(ob)5 b(jects)29 b(are)g(used)h(b)n(y)f(the)h(functions)g(that)h
2995 (calculate)e(the)722 3376 y(distance)f(to)f(the)h(solid)f(surface)g
2996 (along)f(an)i(arbitrary)d(v)n(ector.)639 3536 y Fl(\017)41
2997 b Fj(G4double)g(MinPhi)p Fp(,)17 b Fj(G4double)41 b(MaxPhi)16
2998 b Fp(|)i Fn(')p Fp(-b)r(oundaries)g(of)g Fj(BoundingPolycone)o
2999 Fp(,)722 3636 y Fj(G4double)41 b(PhiPosition)30 b Fp(|)35
3000 b(its)g(orien)n(tation.)57 b(\(Used)35 b(for)g(mo)r(dule-t)n(yp)r(e)f
3001 (solid)722 3736 y(only)-7 b(.\))639 3896 y Fl(\017)41
3002 b Fj(G4bool)g(Verbose)25 b Fp(|)j(un)n(used.)37 b(Will)28
3003 b(b)r(e)g(dropp)r(ed)f(later.)515 4125 y Fh(4.3)112 b(Metho)s(ds)38
3004 b(of)g Fg(LArWheelSolid)639 4279 y Fl(\017)j Fp(Constructor)17
3005 b Fj(LArWheelSolid\(con)o(st)37 b(G4String)j(&name,)h(LArWheelSolid)p
3006 3321 4279 27 4 v 26 w(t)722 4378 y(type\))722 4478 y(LArSolidWheel)p
3007 1299 4478 V 26 w(t)18 b Fp(is)h(an)f(en)n(umerator)e(t)n(yp)r(e,)21
3008 b(de\014ned)e(v)-5 b(alues)18 b(are)f Fj(InnerAbsorberWhe)o(el)p
3009 Fp(,)722 4578 y Fj(InnerElectrodWhee)o(l)p Fp(,)d Fj(InnerAbsorberModu)
3010 o(le)o Fp(,)h Fj(InnerElectrodMo)o(dul)o(e)p Fp(,)f Fj
3011 (OuterAbsorberWhee)o(l)p Fp(,)722 4677 y Fj(OuterElectrodWhee)o(l)p
3012 Fp(,)g Fj(OuterAbsorberModu)o(le)o Fp(,)h Fj(OuterElectrodMo)o(dul)o(e)
3013 p Fp(.)28 b Fj(name)722 4777 y Fp(is)g(solid)f(name.)722
3014 4907 y(It)37 b(is)f(assumed)g(that)g(ph)n(ysical)g(v)n(olumes)f(made)h
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3016 5006 y(p)r(ositioned)32 b(at)f(a)h(common)f(place)g(\(at)h(the)g(v)n
3017 (ector)f(\(0)p Fn(;)14 b Fp(0)p Fn(;)g(Z)2643 5018 y
3018 Ff(0)2679 5006 y Fp(\)\))32 b(without)g(rotation)1905
3019 5255 y(10)p eop
3020 %%Page: 11 11
3021 11 10 bop 722 523 a Fp(\(or)29 b(with)g(the)h(same)e(rotation)g(if)h
3022 (it)h(is)f(necessary\).)39 b(If)30 b(so,)e(the)i(relativ)n(e)e(p)r
3023 (ositions)722 623 y(will)g(b)r(e)g(correct:)36 b(electro)r(des)27
3024 b(b)r(et)n(w)n(een)h(absorb)r(ers)d(of)j(the)g(corresp)r(onding)e
3025 (wheel,)722 722 y(the)i(outer)f(wheel)h(surrounds)e(the)i(inner)f(one)h
3026 (\(and)f(similar)g(for)g(mo)r(dules\).)722 851 y(Constructor)f(creates)
3027 h Fj(LArWheelCalculat)o(or)21 b Fp(ob)5 b(ject)27 b(of)h(corresp)r
3028 (onding)e(t)n(yp)r(e.)722 979 y(F)-7 b(unctions)38 b
3029 Fj(inner)p 1337 979 27 4 v 30 w(solid)p 1587 979 V 29
3030 w(init)p Fp(,)h Fj(outer)p 2074 979 V 29 w(solid)p 2323
3031 979 V 30 w(init)d Fp(and)i Fj(set)p 2869 979 V 30 w(phi)p
3032 3031 979 V 30 w(size)e Fp(are)722 1079 y(also)27 b(used)g(b)n(y)h(the)g
3033 (constructor.)639 1236 y Fl(\017)41 b Fj(Inside)p Fp(\()q
3034 Fn(~)-43 b(p)n Fp(\))722 1335 y(This)29 b(function)g(c)n(hec)n(ks)e(if)
3035 i(the)f(p)r(oin)n(t)h Fn(p)f Fp(is)g(inside)h(of)f(the)h
3036 Fj(BoundingPolycone)o Fp(.)34 b(If)722 1435 y(it)g(is,)i(then)e(it)g
3037 (determines)g(the)g(distance)f(to)h(the)g(nearest-to-)p
3038 Fn(p)e Fp(fan)i(and)f(c)n(hec)n(ks)722 1535 y(if)45 b(the)f(p)r(oin)n
3039 (t)g(is)g(inside)g(or)f(on)h(the)g(surface)f(\(comparing)g(the)h
3040 (distance)g(with)722 1634 y Fj(HalfFanThickness)p Fp(\).)639
3041 1792 y Fl(\017)d Fj(DistanceToIn)p Fp(\()q Fn(~)-43 b(p)-5
3042 b Fp(\))722 1891 y(The)22 b(function)f(c)n(hec)n(ks)f(if)i(the)g(p)r
3043 (oin)n(t)f Fn(p)g Fp(is)g(not)h(outside)f(of)g(the)h
3044 Fj(BoundingPolycon)o(e)p Fp(.)722 1991 y(If)37 b(y)n(es,)g(then)g(it)g
3045 (determines)f(the)g(distance)g(to)g(the)g(nearest-to-)p
3046 Fn(p)e Fp(fan's)i(neutral)722 2090 y(\014bre)44 b(and)f(subtracts)g
3047 Fj(HalfFanThickness)o Fp(.)79 b(Otherwise)43 b(it)h(passes)e
3048 Fn(p)h Fp(to)h(the)722 2190 y Fj(DistanceToIn)p Fp(\()q
3049 Fn(~)-43 b(p)-5 b Fp(\))28 b(metho)r(d)g(of)g Fj(BoundingPolycone)o
3050 Fp(.)639 2347 y Fl(\017)41 b Fj(DistanceToOut)p Fp(\()q
3051 Fn(~)-43 b(p)-5 b Fp(\))722 2447 y(The)22 b(function)f(c)n(hec)n(ks)f
3052 (if)i(the)g(p)r(oin)n(t)f Fn(p)g Fp(is)g(not)h(outside)f(of)g(the)h
3053 Fj(BoundingPolycon)o(e)p Fp(.)722 2546 y(If)33 b(y)n(es,)f(then)h(it)f
3054 (determines)g(the)g(distance)g(to)g(the)h(nearest)e(fan's)h(neutral)f
3055 (\014bre,)722 2646 y(calculates)26 b(the)h(distance)g(to)g(the)g(fan's)
3056 g(surface,)f(compares)f(it)j(with)f(the)g(distance)722
3057 2746 y(to)35 b(the)h Fj(BoundingPolycone)o Fp('s)29 b(surface)35
3058 b(and)g(returns)f(the)i(smaller)e(one.)59 b(If)36 b(the)722
3059 2845 y(p)r(oin)n(t)25 b(is)g(not)g(inside)g(of)g(the)g(fan)g(or)f(it)i
3060 (is)e(outside)h(of)g(the)g Fj(BoundingPolycone)19 b Fp(the)722
3061 2945 y(function)28 b(returns)f(zero.)639 3102 y Fl(\017)41
3062 b Fj(SurfaceNormal)p Fp(\()q Fn(~)-43 b(p)-5 b Fp(\))722
3063 3202 y(The)25 b(function)f(c)n(hec)n(ks)g(if)g(the)h(p)r(oin)n(t)g
3064 Fn(p)f Fp(is)g(inside)g(the)h Fj(BoundingPolycone)o Fp(.)30
3065 b(If)25 b(y)n(es,)722 3301 y(then)d(it)f(determines)g(the)g(nearest)f
3066 (fan,)i(\014nds)f(the)h(nearest)e(p)r(oin)n(t)h(on)f(the)h(fan's)g
3067 (neu-)722 3401 y(tral)i(\014bre)g(and)h(returns)e(the)i(unit)g(v)n
3068 (ector)e(p)r(oin)n(ting)i(to)f Fn(p)g Fp(from)h(this)f(p)r(oin)n(t.)36
3069 b(Other-)722 3501 y(wise)28 b(it)g(passes)e Fn(p)i Fp(to)f(the)h
3070 Fj(SurfaceNormal)p Fp(\()q Fn(~)-43 b(p)-5 b Fp(\))28
3071 b(metho)r(d)g(of)f Fj(BoundingPolycone)p Fp(.)639 3658
3072 y Fl(\017)41 b Fj(out)p 859 3658 V 30 w(iteration)p 1285
3073 3658 V 28 w(process)p Fp(\()q Fn(~)-43 b(p)m(;)14 b(~)-42
3074 b(q)s Fp(\))722 3757 y(This)24 b(function)g(searc)n(hes)d(for)i(the)h
3075 (exit)f(p)r(oin)n(t)h(of)f(segmen)n(t)g Fn(pq)j Fp(from)d(the)h(fan's)f
3076 (half-)722 3857 y(w)n(a)n(v)n(e)k(in)h(the)h(ev)n(en)n(t)e(that)i
3077 Fn(q)i Fp(is)d(not)g(inside)h(the)f(fan.)39 b(The)28
3078 b(p)r(oin)n(ts)g Fn(p)g Fp(and)g Fn(q)j Fp(should)722
3079 3957 y(b)r(e)d(in)g(the)g(same)f Fj(FanSection)p Fp(.)722
3080 4085 y(The)f(function)g(uses)f(an)h(iterativ)n(e)e(tec)n(hnique)i(of)g
3081 (dividing)f(a)g(segmen)n(t)g(in)h(half.)37 b(A)n(t)722
3082 4185 y(the)28 b Fn(i)p Fp(th)g(step)1599 4325 y Fn(~)-42
3083 b(p)1641 4337 y Fm(i)p Ff(+1)1775 4325 y Fp(=)1874 4268
3084 y Fn(~)f(p)1915 4280 y Fm(i)1961 4268 y Fp(+)18 b Fn(~)-42
3085 b(q)2081 4280 y Fm(i)p 1873 4305 236 4 v 1970 4382 a
3086 Fp(2)2118 4325 y Fn(;)14 b(~)-42 b(q)2192 4337 y Fm(i)p
3087 Ff(+1)2327 4325 y Fp(=)23 b Fn(~)-42 b(q)2452 4337 y
3088 Fm(i)2479 4325 y Fn(;)722 4505 y Fp(if)28 b(the)g(p)r(oin)n(t)1169
3089 4468 y Fm(~)-35 b(p)1202 4476 y Fc(i)1229 4468 y Ff(+)p
3090 Fm(~)h(q)1310 4476 y Fc(i)p 1168 4486 169 4 v 1236 4534
3091 a Ff(2)1374 4505 y Fp(is)27 b(not)h(outside)f(the)h(fan,)g(and)1597
3092 4718 y Fn(~)-43 b(p)1638 4730 y Fm(i)p Ff(+1)1773 4718
3093 y Fp(=)23 b Fn(~)-42 b(p)1903 4730 y Fm(i)1930 4718 y
3094 Fn(;)14 b(~)-42 b(q)2004 4730 y Fm(i)p Ff(+1)2139 4718
3095 y Fp(=)2237 4662 y Fn(~)f(p)2278 4674 y Fm(i)2324 4662
3096 y Fp(+)18 b Fn(~)-42 b(q)2444 4674 y Fm(i)p 2236 4699
3097 236 4 v 2333 4775 a Fp(2)2482 4718 y Fn(;)722 4907 y
3098 Fp(otherwise.)43 b(The)30 b(pro)r(cess)e(stops)i(when)g
3099 Fl(j)q Fn(~)-43 b(p)2095 4919 y Fm(i)2142 4907 y Fl(\000)19
3100 b Fn(~)-42 b(q)2263 4919 y Fm(i)2291 4907 y Fl(j)27 b
3101 Fn(<)f Fj(IterationPrecisi)o(on)e Fp(or)k Fn(i)722 5006
3102 y Fp(has)f(reac)n(hed)g(the)h Fj(IterationsLimit)o Fp(.)1905
3103 5255 y(11)p eop
3104 %%Page: 12 12
3105 12 11 bop 1474 1586 a @beginspecial 0 @llx 0 @lly 209
3106 @urx 223 @ury 1134 @rwi 1374 @rhi @setspecial
3107 %%BeginDocument: out_iter.eps
3108 %!PS-Adobe-2.0 EPSF-2.0
3109 %%Title: out_iter.eps
3110 %%Creator: fig2dev Version 3.2 Patchlevel 3d
3111 %%CreationDate: Fri Nov 29 17:40:27 2002
3112 %%For: suharev@localhost ()
3113 %%BoundingBox: 0 0 209 223
3114 %%Magnification: 1.0000
3115 %%EndComments
3116 /MyAppDict 100 dict dup begin def
3117 /$F2psDict 200 dict def
3118 $F2psDict begin
3119 $F2psDict /mtrx matrix put
3120 /col-1 {0 setgray} bind def
3121 /col0 {0.000 0.000 0.000 srgb} bind def
3122 /col1 {0.000 0.000 1.000 srgb} bind def
3123 /col2 {0.000 1.000 0.000 srgb} bind def
3124 /col3 {0.000 1.000 1.000 srgb} bind def
3125 /col4 {1.000 0.000 0.000 srgb} bind def
3126 /col5 {1.000 0.000 1.000 srgb} bind def
3127 /col6 {1.000 1.000 0.000 srgb} bind def
3128 /col7 {1.000 1.000 1.000 srgb} bind def
3129 /col8 {0.000 0.000 0.560 srgb} bind def
3130 /col9 {0.000 0.000 0.690 srgb} bind def
3131 /col10 {0.000 0.000 0.820 srgb} bind def
3132 /col11 {0.530 0.810 1.000 srgb} bind def
3133 /col12 {0.000 0.560 0.000 srgb} bind def
3134 /col13 {0.000 0.690 0.000 srgb} bind def
3135 /col14 {0.000 0.820 0.000 srgb} bind def
3136 /col15 {0.000 0.560 0.560 srgb} bind def
3137 /col16 {0.000 0.690 0.690 srgb} bind def
3138 /col17 {0.000 0.820 0.820 srgb} bind def
3139 /col18 {0.560 0.000 0.000 srgb} bind def
3140 /col19 {0.690 0.000 0.000 srgb} bind def
3141 /col20 {0.820 0.000 0.000 srgb} bind def
3142 /col21 {0.560 0.000 0.560 srgb} bind def
3143 /col22 {0.690 0.000 0.690 srgb} bind def
3144 /col23 {0.820 0.000 0.820 srgb} bind def
3145 /col24 {0.500 0.190 0.000 srgb} bind def
3146 /col25 {0.630 0.250 0.000 srgb} bind def
3147 /col26 {0.750 0.380 0.000 srgb} bind def
3148 /col27 {1.000 0.500 0.500 srgb} bind def
3149 /col28 {1.000 0.630 0.630 srgb} bind def
3150 /col29 {1.000 0.750 0.750 srgb} bind def
3151 /col30 {1.000 0.880 0.880 srgb} bind def
3152 /col31 {1.000 0.840 0.000 srgb} bind def
3153
3154 end
3155 save
3156 newpath 0 223 moveto 0 0 lineto 209 0 lineto 209 223 lineto closepath clip newpath
3157 -64.4 270.0 translate
3158 1 -1 scale
3159
3160 % This junk string is used by the show operators
3161 /PATsstr 1 string def
3162 /PATawidthshow { % cx cy cchar rx ry string
3163 % Loop over each character in the string
3164 { % cx cy cchar rx ry char
3165 % Show the character
3166 dup % cx cy cchar rx ry char char
3167 PATsstr dup 0 4 -1 roll put % cx cy cchar rx ry char (char)
3168 false charpath % cx cy cchar rx ry char
3169 /clip load PATdraw
3170 % Move past the character (charpath modified the
3171 % current point)
3172 currentpoint % cx cy cchar rx ry char x y
3173 newpath
3174 moveto % cx cy cchar rx ry char
3175 % Reposition by cx,cy if the character in the string is cchar
3176 3 index eq { % cx cy cchar rx ry
3177 4 index 4 index rmoveto
3178 } if
3179 % Reposition all characters by rx ry
3180 2 copy rmoveto % cx cy cchar rx ry
3181 } forall
3182 pop pop pop pop pop % -
3183 currentpoint
3184 newpath
3185 moveto
3186 } bind def
3187 /PATcg {
3188 7 dict dup begin
3189 /lw currentlinewidth def
3190 /lc currentlinecap def
3191 /lj currentlinejoin def
3192 /ml currentmiterlimit def
3193 /ds [ currentdash ] def
3194 /cc [ currentrgbcolor ] def
3195 /cm matrix currentmatrix def
3196 end
3197 } bind def
3198 % PATdraw - calculates the boundaries of the object and
3199 % fills it with the current pattern
3200 /PATdraw { % proc
3201 save exch
3202 PATpcalc % proc nw nh px py
3203 5 -1 roll exec % nw nh px py
3204 newpath
3205 PATfill % -
3206 restore
3207 } bind def
3208 % PATfill - performs the tiling for the shape
3209 /PATfill { % nw nh px py PATfill -
3210 PATDict /CurrentPattern get dup begin
3211 setfont
3212 % Set the coordinate system to Pattern Space
3213 PatternGState PATsg
3214 % Set the color for uncolored pattezns
3215 PaintType 2 eq { PATDict /PColor get PATsc } if
3216 % Create the string for showing
3217 3 index string % nw nh px py str
3218 % Loop for each of the pattern sources
3219 0 1 Multi 1 sub { % nw nh px py str source
3220 % Move to the starting location
3221 3 index 3 index % nw nh px py str source px py
3222 moveto % nw nh px py str source
3223 % For multiple sources, set the appropriate color
3224 Multi 1 ne { dup PC exch get PATsc } if
3225 % Set the appropriate string for the source
3226 0 1 7 index 1 sub { 2 index exch 2 index put } for pop
3227 % Loop over the number of vertical cells
3228 3 index % nw nh px py str nh
3229 { % nw nh px py str
3230 currentpoint % nw nh px py str cx cy
3231 2 index oldshow % nw nh px py str cx cy
3232 YStep add moveto % nw nh px py str
3233 } repeat % nw nh px py str
3234 } for
3235 5 { pop } repeat
3236 end
3237 } bind def
3238
3239 % PATkshow - kshow with the current pattezn
3240 /PATkshow { % proc string
3241 exch bind % string proc
3242 1 index 0 get % string proc char
3243 % Loop over all but the last character in the string
3244 0 1 4 index length 2 sub {
3245 % string proc char idx
3246 % Find the n+1th character in the string
3247 3 index exch 1 add get % string proe char char+1
3248 exch 2 copy % strinq proc char+1 char char+1 char
3249 % Now show the nth character
3250 PATsstr dup 0 4 -1 roll put % string proc chr+1 chr chr+1 (chr)
3251 false charpath % string proc char+1 char char+1
3252 /clip load PATdraw
3253 % Move past the character (charpath modified the current point)
3254 currentpoint newpath moveto
3255 % Execute the user proc (should consume char and char+1)
3256 mark 3 1 roll % string proc char+1 mark char char+1
3257 4 index exec % string proc char+1 mark...
3258 cleartomark % string proc char+1
3259 } for
3260 % Now display the last character
3261 PATsstr dup 0 4 -1 roll put % string proc (char+1)
3262 false charpath % string proc
3263 /clip load PATdraw
3264 neewath
3265 pop pop % -
3266 } bind def
3267 % PATmp - the makepattern equivalent
3268 /PATmp { % patdict patmtx PATmp patinstance
3269 exch dup length 7 add % We will add 6 new entries plus 1 FID
3270 dict copy % Create a new dictionary
3271 begin
3272 % Matrix to install when painting the pattern
3273 TilingType PATtcalc
3274 /PatternGState PATcg def
3275 PatternGState /cm 3 -1 roll put
3276 % Check for multi pattern sources (Level 1 fast color patterns)
3277 currentdict /Multi known not { /Multi 1 def } if
3278 % Font dictionary definitions
3279 /FontType 3 def
3280 % Create a dummy encoding vector
3281 /Encoding 256 array def
3282 3 string 0 1 255 {
3283 Encoding exch dup 3 index cvs cvn put } for pop
3284 /FontMatrix matrix def
3285 /FontBBox BBox def
3286 /BuildChar {
3287 mark 3 1 roll % mark dict char
3288 exch begin
3289 Multi 1 ne {PaintData exch get}{pop} ifelse % mark [paintdata]
3290 PaintType 2 eq Multi 1 ne or
3291 { XStep 0 FontBBox aload pop setcachedevice }
3292 { XStep 0 setcharwidth } ifelse
3293 currentdict % mark [paintdata] dict
3294 /PaintProc load % mark [paintdata] dict paintproc
3295 end
3296 gsave
3297 false PATredef exec true PATredef
3298 grestore
3299 cleartomark % -
3300 } bind def
3301 currentdict
3302 end % newdict
3303 /foo exch % /foo newlict
3304 definefont % newfont
3305 } bind def
3306 % PATpcalc - calculates the starting point and width/height
3307 % of the tile fill for the shape
3308 /PATpcalc { % - PATpcalc nw nh px py
3309 PATDict /CurrentPattern get begin
3310 gsave
3311 % Set up the coordinate system to Pattern Space
3312 % and lock down pattern
3313 PatternGState /cm get setmatrix
3314 BBox aload pop pop pop translate
3315 % Determine the bounding box of the shape
3316 pathbbox % llx lly urx ury
3317 grestore
3318 % Determine (nw, nh) the # of cells to paint width and height
3319 PatHeight div ceiling % llx lly urx qh
3320 4 1 roll % qh llx lly urx
3321 PatWidth div ceiling % qh llx lly qw
3322 4 1 roll % qw qh llx lly
3323 PatHeight div floor % qw qh llx ph
3324 4 1 roll % ph qw qh llx
3325 PatWidth div floor % ph qw qh pw
3326 4 1 roll % pw ph qw qh
3327 2 index sub cvi abs % pw ph qs qh-ph
3328 exch 3 index sub cvi abs exch % pw ph nw=qw-pw nh=qh-ph
3329 % Determine the starting point of the pattern fill
3330 %(px, py)
3331 4 2 roll % nw nh pw ph
3332 PatHeight mul % nw nh pw py
3333 exch % nw nh py pw
3334 PatWidth mul exch % nw nh px py
3335 end
3336 } bind def
3337
3338 % Save the original routines so that we can use them later on
3339 /oldfill /fill load def
3340 /oldeofill /eofill load def
3341 /oldstroke /stroke load def
3342 /oldshow /show load def
3343 /oldashow /ashow load def
3344 /oldwidthshow /widthshow load def
3345 /oldawidthshow /awidthshow load def
3346 /oldkshow /kshow load def
3347
3348 % These defs are necessary so that subsequent procs don't bind in
3349 % the originals
3350 /fill { oldfill } bind def
3351 /eofill { oldeofill } bind def
3352 /stroke { oldstroke } bind def
3353 /show { oldshow } bind def
3354 /ashow { oldashow } bind def
3355 /widthshow { oldwidthshow } bind def
3356 /awidthshow { oldawidthshow } bind def
3357 /kshow { oldkshow } bind def
3358 /PATredef {
3359 MyAppDict begin
3360 {
3361 /fill { /clip load PATdraw newpath } bind def
3362 /eofill { /eoclip load PATdraw newpath } bind def
3363 /stroke { PATstroke } bind def
3364 /show { 0 0 null 0 0 6 -1 roll PATawidthshow } bind def
3365 /ashow { 0 0 null 6 3 roll PATawidthshow }
3366 bind def
3367 /widthshow { 0 0 3 -1 roll PATawidthshow }
3368 bind def
3369 /awidthshow { PATawidthshow } bind def
3370 /kshow { PATkshow } bind def
3371 } {
3372 /fill { oldfill } bind def
3373 /eofill { oldeofill } bind def
3374 /stroke { oldstroke } bind def
3375 /show { oldshow } bind def
3376 /ashow { oldashow } bind def
3377 /widthshow { oldwidthshow } bind def
3378 /awidthshow { oldawidthshow } bind def
3379 /kshow { oldkshow } bind def
3380 } ifelse
3381 end
3382 } bind def
3383 false PATredef
3384 % Conditionally define setcmykcolor if not available
3385 /setcmykcolor where { pop } {
3386 /setcmykcolor {
3387 1 sub 4 1 roll
3388 3 {
3389 3 index add neg dup 0 lt { pop 0 } if 3 1 roll
3390 } repeat
3391 setrgbcolor - pop
3392 } bind def
3393 } ifelse
3394 /PATsc { % colorarray
3395 aload length % c1 ... cn length
3396 dup 1 eq { pop setgray } { 3 eq { setrgbcolor } { setcmykcolor
3397 } ifelse } ifelse
3398 } bind def
3399 /PATsg { % dict
3400 begin
3401 lw setlinewidth
3402 lc setlinecap
3403 lj setlinejoin
3404 ml setmiterlimit
3405 ds aload pop setdash
3406 cc aload pop setrgbcolor
3407 cm setmatrix
3408 end
3409 } bind def
3410
3411 /PATDict 3 dict def
3412 /PATsp {
3413 true PATredef
3414 PATDict begin
3415 /CurrentPattern exch def
3416 % If it's an uncolored pattern, save the color
3417 CurrentPattern /PaintType get 2 eq {
3418 /PColor exch def
3419 } if
3420 /CColor [ currentrgbcolor ] def
3421 end
3422 } bind def
3423 % PATstroke - stroke with the current pattern
3424 /PATstroke {
3425 countdictstack
3426 save
3427 mark
3428 {
3429 currentpoint strokepath moveto
3430 PATpcalc % proc nw nh px py
3431 clip newpath PATfill
3432 } stopped {
3433 (*** PATstroke Warning: Path is too complex, stroking
3434 with gray) =
3435 cleartomark
3436 restore
3437 countdictstack exch sub dup 0 gt
3438 { { end } repeat } { pop } ifelse
3439 gsave 0.5 setgray oldstroke grestore
3440 } { pop restore pop } ifelse
3441 newpath
3442 } bind def
3443 /PATtcalc { % modmtx tilingtype PATtcalc tilematrix
3444 % Note: tiling types 2 and 3 are not supported
3445 gsave
3446 exch concat % tilingtype
3447 matrix currentmatrix exch % cmtx tilingtype
3448 % Tiling type 1 and 3: constant spacing
3449 2 ne {
3450 % Distort the pattern so that it occupies
3451 % an integral number of device pixels
3452 dup 4 get exch dup 5 get exch % tx ty cmtx
3453 XStep 0 dtransform
3454 round exch round exch % tx ty cmtx dx.x dx.y
3455 XStep div exch XStep div exch % tx ty cmtx a b
3456 0 YStep dtransform
3457 round exch round exch % tx ty cmtx a b dy.x dy.y
3458 YStep div exch YStep div exch % tx ty cmtx a b c d
3459 7 -3 roll astore % { a b c d tx ty }
3460 } if
3461 grestore
3462 } bind def
3463 /PATusp {
3464 false PATredef
3465 PATDict begin
3466 CColor PATsc
3467 end
3468 } bind def
3469
3470 % vertical sawtooth lines
3471 11 dict begin
3472 /PaintType 1 def
3473 /PatternType 1 def
3474 /TilingType 1 def
3475 /BBox [0 0 1 1] def
3476 /XStep 1 def
3477 /YStep 1 def
3478 /PatWidth 1 def
3479 /PatHeight 1 def
3480 /Multi 2 def
3481 /PaintData [
3482 { clippath } bind
3483 { 16 32 true [ 16 0 0 -32 0 32 ]
3484 {<400020001000080004000200010000800100020004000800
3485 100020004000800040002000100008000400020001000080
3486 01000200040008001000200040008000>}
3487 imagemask } bind
3488 ] def
3489 /PaintProc {
3490 pop
3491 exec fill
3492 } def
3493 currentdict
3494 end
3495 /P22 exch def
3496
3497 /cp {closepath} bind def
3498 /ef {eofill} bind def
3499 /gr {grestore} bind def
3500 /gs {gsave} bind def
3501 /sa {save} bind def
3502 /rs {restore} bind def
3503 /l {lineto} bind def
3504 /m {moveto} bind def
3505 /rm {rmoveto} bind def
3506 /n {newpath} bind def
3507 /s {stroke} bind def
3508 /sh {show} bind def
3509 /slc {setlinecap} bind def
3510 /slj {setlinejoin} bind def
3511 /slw {setlinewidth} bind def
3512 /srgb {setrgbcolor} bind def
3513 /rot {rotate} bind def
3514 /sc {scale} bind def
3515 /sd {setdash} bind def
3516 /ff {findfont} bind def
3517 /sf {setfont} bind def
3518 /scf {scalefont} bind def
3519 /sw {stringwidth} bind def
3520 /tr {translate} bind def
3521 /tnt {dup dup currentrgbcolor
3522 4 -2 roll dup 1 exch sub 3 -1 roll mul add
3523 4 -2 roll dup 1 exch sub 3 -1 roll mul add
3524 4 -2 roll dup 1 exch sub 3 -1 roll mul add srgb}
3525 bind def
3526 /shd {dup dup currentrgbcolor 4 -2 roll mul 4 -2 roll mul
3527 4 -2 roll mul srgb} bind def
3528 /reencdict 12 dict def /ReEncode { reencdict begin
3529 /newcodesandnames exch def /newfontname exch def /basefontname exch def
3530 /basefontdict basefontname findfont def /newfont basefontdict maxlength dict def
3531 basefontdict { exch dup /FID ne { dup /Encoding eq
3532 { exch dup length array copy newfont 3 1 roll put }
3533 { exch newfont 3 1 roll put } ifelse } { pop pop } ifelse } forall
3534 newfont /FontName newfontname put newcodesandnames aload pop
3535 128 1 255 { newfont /Encoding get exch /.notdef put } for
3536 newcodesandnames length 2 idiv { newfont /Encoding get 3 1 roll put } repeat
3537 newfontname newfont definefont pop end } def
3538 /isovec [
3539 8#055 /minus 8#200 /grave 8#201 /acute 8#202 /circumflex 8#203 /tilde
3540 8#204 /macron 8#205 /breve 8#206 /dotaccent 8#207 /dieresis
3541 8#210 /ring 8#211 /cedilla 8#212 /hungarumlaut 8#213 /ogonek 8#214 /caron
3542 8#220 /dotlessi 8#230 /oe 8#231 /OE
3543 8#240 /space 8#241 /exclamdown 8#242 /cent 8#243 /sterling
3544 8#244 /currency 8#245 /yen 8#246 /brokenbar 8#247 /section 8#250 /dieresis
3545 8#251 /copyright 8#252 /ordfeminine 8#253 /guillemotleft 8#254 /logicalnot
3546 8#255 /hyphen 8#256 /registered 8#257 /macron 8#260 /degree 8#261 /plusminus
3547 8#262 /twosuperior 8#263 /threesuperior 8#264 /acute 8#265 /mu 8#266 /paragraph
3548 8#267 /periodcentered 8#270 /cedilla 8#271 /onesuperior 8#272 /ordmasculine
3549 8#273 /guillemotright 8#274 /onequarter 8#275 /onehalf
3550 8#276 /threequarters 8#277 /questiondown 8#300 /Agrave 8#301 /Aacute
3551 8#302 /Acircumflex 8#303 /Atilde 8#304 /Adieresis 8#305 /Aring
3552 8#306 /AE 8#307 /Ccedilla 8#310 /Egrave 8#311 /Eacute
3553 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute
3554 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Eth 8#321 /Ntilde 8#322 /Ograve
3555 8#323 /Oacute 8#324 /Ocircumflex 8#325 /Otilde 8#326 /Odieresis 8#327 /multiply
3556 8#330 /Oslash 8#331 /Ugrave 8#332 /Uacute 8#333 /Ucircumflex
3557 8#334 /Udieresis 8#335 /Yacute 8#336 /Thorn 8#337 /germandbls 8#340 /agrave
3558 8#341 /aacute 8#342 /acircumflex 8#343 /atilde 8#344 /adieresis 8#345 /aring
3559 8#346 /ae 8#347 /ccedilla 8#350 /egrave 8#351 /eacute
3560 8#352 /ecircumflex 8#353 /edieresis 8#354 /igrave 8#355 /iacute
3561 8#356 /icircumflex 8#357 /idieresis 8#360 /eth 8#361 /ntilde 8#362 /ograve
3562 8#363 /oacute 8#364 /ocircumflex 8#365 /otilde 8#366 /odieresis 8#367 /divide
3563 8#370 /oslash 8#371 /ugrave 8#372 /uacute 8#373 /ucircumflex
3564 8#374 /udieresis 8#375 /yacute 8#376 /thorn 8#377 /ydieresis] def
3565 /Times-Italic /Times-Italic-iso isovec ReEncode
3566 /DrawEllipse {
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3568 /startangle exch def
3569 /yrad exch def
3570 /xrad exch def
3571 /y exch def
3572 /x exch def
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3575 closepath
3576 savematrix setmatrix
3577 } def
3578
3579 /$F2psBegin {$F2psDict begin /$F2psEnteredState save def} def
3580 /$F2psEnd {$F2psEnteredState restore end} def
3581
3582 $F2psBegin
3583 10 setmiterlimit
3584 0.06299 0.06299 sc
3585 %
3586 % Fig objects follow
3587 %
3588 % Polyline
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3591 1117 3540 l gs col0 s gr
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3593 n 2250 2115 m
3594 1117 4042 l gs col0 s gr
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3600 3825 3546 l gs col0 s gr
3601 % Polyline
3602 n 2707 2115 m
3603 3825 4050 l gs col0 s gr
3604 % Polyline
3605 n 3817 4050 m
3606 3817 3553 l gs col0 s gr
3607 % Arc
3608 n 2475.0 2265.5 570.5 -144.6 -35.4 arc
3609 gs col0 s gr
3610
3611 % Arc
3612 n 2475.0 2351.2 326.2 -133.6 -46.4 arc
3613 gs col0 s gr
3614
3615 15.000 slw
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3617 n 1792 2640 31 31 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def
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3619
3620 % Ellipse
3621 n 3825 1237 31 31 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def
3622 15.00 15.00 sc P22 [8 0 0 -16 252.93 80.40] PATmp PATsp ef gr PATusp gs col0 s gr
3623
3624 % Ellipse
3625 n 2040 2467 31 31 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def
3626 15.00 15.00 sc P22 [8 0 0 -16 133.93 162.40] PATmp PATsp ef gr PATusp gs col0 s gr
3627
3628 % Ellipse
3629 n 2902 1875 31 31 0 360 DrawEllipse gs /PC [[0.00 0.00 0.00] [0.00 0.00 0.00]] def
3630 15.00 15.00 sc P22 [8 0 0 -16 191.40 122.93] PATmp PATsp ef gr PATusp gs col0 s gr
3631
3632 % Polyline
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3634 [60] 0 sd
3635 n 3825 765 m
3636 3825 4230 l gs col0 s gr [] 0 sd
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3638 [60] 0 sd
3639 n 1125 930 m
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3642 gs clippath
3643 3840 4170 m 3840 4110 l 3688 4110 l 3808 4140 l 3688 4170 l cp
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3647 3825 4140 l gs col0 s gr gr
3648
3649 % arrowhead
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3651 % arrowhead
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3655 n 1777 2655 m
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3657 /Times-Italic-iso ff 360.00 scf sf
3658 4185 4140 m
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3660 /Times-Italic-iso ff 300.00 scf sf
3661 2520 4050 m
3662 gs 1 -1 sc (half-wave) dup sw pop 2 div neg 0 rm col0 sh gr
3663 /Times-Italic-iso ff 360.00 scf sf
3664 3615 1208 m
3665 gs 1 -1 sc (q) dup sw pop 2 div neg 0 rm col0 sh gr
3666 /Times-Italic-iso ff 360.00 scf sf
3667 1649 2954 m
3668 gs 1 -1 sc (p) dup sw pop 2 div neg 0 rm col0 sh gr
3669 /Times-Italic-iso ff 360.00 scf sf
3670 2925 1755 m
3671 gs 1 -1 sc (b) dup sw pop 2 div neg 0 rm col0 sh gr
3672 /Times-Italic-iso ff 360.00 scf sf
3673 2123 2745 m
3674 gs 1 -1 sc (a) dup sw pop 2 div neg 0 rm col0 sh gr
3675 % Polyline
3676 7.500 slw
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3678 4335 3855 m 4335 3795 l 4183 3795 l 4303 3825 l 4183 3855 l cp
3679 eoclip
3680 n 1035 3825 m
3681 4320 3825 l gs col0 s gr gr
3682
3683 % arrowhead
3684 n 4183 3855 m 4303 3825 l 4183 3795 l col0 s
3685 $F2psEnd
3686 rs
3687 end
3688
3689 %%EndDocument
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3693 Fn(a)g Fp(or)e(p)r(oin)n(t)i Fn(b)p Fp(.)36 b(It)24 b(is)f(up)h(to)g
3694 (the)g(user)f(to)g(sp)r(ot)h(the)g(p)r(oten)n(tial)f(am)n(biguit)n(y)g
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3696 y(The)i(function)h(returns)e(the)i(distance)e(from)h(the)g(p)r(oin)n(t)
3697 h Fn(p)e Fp(to)h(one)g(of)g(the)g(exiting)722 2465 y(p)r(oin)n(ts.)37
3698 b(The)28 b(exiting)f(p)r(oin)n(t)h(is)f(not)h(inside)g(the)g(fan.)639
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3700 1152 2631 V 30 w(most)p 1358 2631 V 30 w(remoted)p 1696
3701 2631 V 29 w(point)p Fp(\()q Fn(~)-43 b(p)n(;)14 b(~)-42
3702 b(q)r(;)11 b(~)-39 b(r)s Fp(\))722 2731 y(This)28 b(function)h(searc)n
3703 (hes)d(on)i(the)g(segmen)n(t)f Fn(pq)k Fp(for)d(the)g(p)r(oin)n(t)g
3704 (whic)n(h)g(is)g(the)g(most)722 2831 y(distan)n(t)41
3705 b(from)g(the)g(neutral)g(\014bre)g(of)g(the)g(v)n(ertical)f(fan)h(and)g
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3707 b(It)41 b(also)f(returns)h(a)g(b)r(o)r(olean)f(v)-5 b(alue)41
3708 b(whic)n(h)g(is)g(true)g(if)h(during)e(the)i(searc)n(h)722
3709 3030 y(a)36 b(p)r(oin)n(t)h(outside)g(the)g(v)n(ertical)e(fan)i(is)f
3710 (encoun)n(tered)g(\(this)h(allo)n(ws)e(us)i(to)f(apply)722
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3712 V 28 w(process)p Fp(\()q Fn(~)-43 b(p)m(;)11 b(~)-39
3713 b(r)s Fp(\))30 b(here\))f(or)f(false)h(if)h Fn(pq)j Fp(is)c(completely)
3714 g(inside)h(the)722 3229 y(v)n(ertical)24 b(fan)h(\(in)h(this)g(case)e
3715 Fn(r)k Fp(is)d(useless\).)35 b(The)26 b(p)r(oin)n(ts)f
3716 Fn(p)g Fp(and)g Fn(q)j Fp(should)d(b)r(e)g(in)h(the)722
3717 3329 y(same)h Fj(FanSection)p Fp(.)722 3462 y(Next)j(there)g(is)g(a)f
3718 (searc)n(h)f(for)h(the)i(most)e(distan)n(t)h(p)r(oin)n(t)g(of)f(segmen)
3719 n(t)h Fn(pq)i Fp(from)e(the)722 3561 y(neutral)19 b(\014bre.)34
3720 b(The)19 b(searc)n(h)f(is)h(p)r(erformed)g(b)n(y)g(successiv)n(ely)f
3721 (dividing)h(the)h(segmen)n(t)722 3661 y(in)h(half)h(and)e(lo)r(oking)g
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3724 Fn(pq)k Fp(to)c(the)h(neutral)f(\014bre)h(is)f(maximal.)37
3725 b(A)n(t)27 b(the)h Fn(i)p Fp(th)g(step)1599 3983 y Fn(~)-42
3726 b(p)1641 3995 y Fm(i)p Ff(+1)1775 3983 y Fp(=)1874 3927
3727 y Fn(~)f(p)1915 3939 y Fm(i)1961 3927 y Fp(+)18 b Fn(~)-42
3728 b(q)2081 3939 y Fm(i)p 1873 3964 236 4 v 1970 4040 a
3729 Fp(2)2118 3983 y Fn(;)14 b(~)-42 b(q)2192 3995 y Fm(i)p
3730 Ff(+1)2327 3983 y Fp(=)23 b Fn(~)-42 b(q)2452 3995 y
3731 Fm(i)2479 3983 y Fn(;)722 4210 y Fp(if)28 b(the)g(sign)f(of)h(the)g
3732 (deriv)-5 b(ativ)n(e)27 b(\()p Fn(d)1806 4180 y Ff(2)1844
3733 4210 y Fp(\))1876 4180 y Fe(0)1927 4210 y Fp(in)h(the)g(p)r(oin)n(t)
3734 2394 4173 y Fm(~)-35 b(p)2427 4181 y Fc(i)2454 4173 y
3735 Ff(+)p Fm(~)h(q)2535 4181 y Fc(i)p 2393 4191 169 4 v
3736 2461 4239 a Ff(2)2599 4210 y Fp(is)28 b(p)r(ositiv)n(e)f(and)1597
3737 4446 y Fn(~)-43 b(p)1638 4458 y Fm(i)p Ff(+1)1773 4446
3738 y Fp(=)23 b Fn(~)-42 b(p)1903 4458 y Fm(i)1930 4446 y
3739 Fn(;)14 b(~)-42 b(q)2004 4458 y Fm(i)p Ff(+1)2139 4446
3740 y Fp(=)2237 4390 y Fn(~)f(p)2278 4402 y Fm(i)2324 4390
3741 y Fp(+)18 b Fn(~)-42 b(q)2444 4402 y Fm(i)p 2236 4427
3742 236 4 v 2333 4503 a Fp(2)2482 4446 y Fn(;)722 4662 y
3743 Fp(otherwise.)36 b(The)28 b(sign)f(of)h(\()p Fn(d)1636
3744 4632 y Ff(2)1673 4662 y Fp(\))1705 4632 y Fe(0)1757 4662
3745 y Fp(is)f(de\014ned)h(as)f(the)h(sign)f(of)h(the)g(expression)1517
3746 4889 y Fn(d)1560 4855 y Ff(2)1598 4889 y Fp(\()1641 4833
3747 y Fn(~)-43 b(p)1682 4845 y Fm(i)1728 4833 y Fp(+)17 b
3748 Fn(~)-41 b(q)1848 4845 y Fm(i)p 1640 4870 V 1737 4946
3749 a Fp(2)1885 4889 y(\))19 b Fl(\000)f Fn(d)2062 4855 y
3750 Ff(2)2100 4889 y Fp(\()2143 4833 y Fn(~)-43 b(p)2184
3751 4845 y Fm(i)2230 4833 y Fp(+)17 b Fn(~)-41 b(q)2350 4845
3752 y Fm(i)p 2142 4870 V 2239 4946 a Fp(2)2406 4889 y Fl(\000)2486
3753 4867 y Fn(~)2489 4889 y(\016)s Fp(\))p Fn(;)1905 5255
3754 y Fp(12)p eop
3755 %%Page: 13 13
3756 13 12 bop 722 523 a Fp(where)1405 625 y Fn(~)1408 647
3757 y(\016)26 b Fp(=)1591 591 y Fn(~)-42 b(q)22 b Fl(\000)d
3758 Fn(~)-43 b(p)p 1568 628 230 4 v 1568 704 a Fl(j)p Fn(~)h(q)22
3759 b Fl(\000)d Fn(~)-43 b(p)p Fl(j)1826 647 y(\002)18 b
3760 Fj(IterationPrecisio)o(n)722 845 y Fp(is)30 b(small)f(v)n(ector)g
3761 (along)f(the)j(segmen)n(t)e Fn(pq)s Fp(.)43 b(The)30
3762 b(pro)r(cess)e(is)i(stopp)r(ed)g(when)g Fl(j)q Fn(~)-43
3763 b(p)3267 857 y Fm(i)3314 845 y Fl(\000)722 945 y Fn(~)h(q)759
3764 957 y Fm(i)787 945 y Fl(j)28 b Fn(<)g Fj(IterationPrecisi)o(on)c
3765 Fp(or)30 b Fn(i)g Fp(has)h(reac)n(hed)e(the)i Fj(IterationsLimit)p
3766 Fp(.)40 b(The)722 1044 y(pro)r(cess)23 b(is)g(stopp)r(ed)h(prematurely)
3767 f(if)h(the)g(p)r(oin)n(t)2295 1007 y Fm(~)-35 b(p)2328
3768 1015 y Fc(i)2355 1007 y Ff(+)p Fm(~)h(q)2436 1015 y Fc(i)p
3769 2294 1025 169 4 v 2362 1073 a Ff(2)2496 1044 y Fp(is)24
3770 b(situated)g(outside)f(of)h(the)722 1144 y(fan.)722 1277
3771 y(If)36 b(the)g(pro)r(cess)e(has)h(not)g(b)r(een)h(stopp)r(ed)f
3772 (prematurely)f(that)i(means)f(the)g(whole)722 1376 y(segmen)n(t)27
3773 b Fn(pq)k Fp(is)c(inside)h(the)g(curren)n(t)f(half-w)n(a)n(v)n(e)e(of)j
3774 (the)g(fan.)639 1542 y Fl(\017)41 b Fj(distance)p 1079
3775 1542 27 4 v 28 w(to)p 1195 1542 V 31 w(out)p Fp(\()q
3776 Fn(~)-43 b(p)o(;)11 b(~)-39 b(v)s Fp(\))722 1642 y(This)29
3777 b(function)g(calculates)f(the)i(distance)e(along)g(the)h(v)n(ector)24
3778 b Fn(~)-39 b(v)33 b Fp(from)28 b(the)h(p)r(oin)n(t)g
3779 Fn(p)722 1742 y Fp(to)f(the)g(surface)e(of)i(the)g(v)n(ertical)e(fan.)
3780 34 b Fn(~)-39 b(v)31 b Fp(should)d(b)r(e)g(a)f(unit)h(v)n(ector.)722
3781 1874 y(First,)e(the)f(function)h(determines)e(in)i(whic)n(h)e
3782 Fj(FanSection)d Fp(the)26 b(p)r(oin)n(t)f Fn(p)g Fp(is)f(lo)r(cated)722
3783 1974 y(and)j(\014nds)f(p)r(oin)n(t)h Fn(a)p Fp(,)f(the)h(exit)g(p)r
3784 (oin)n(t)f(of)h(the)g(line)g Fn(~)-43 b(p)16 b Fp(+)d
3785 Fn(~)-39 b(v)s(t)26 b Fp(out)h(of)f(the)h Fj(FanSection)p
3786 Fp(.)722 2074 y(If)h Fn(a)g Fp(is)f(outside)h(of)f(the)h(v)n(ertical)f
3787 (fan)g(then)i(the)f(function)722 2173 y Fj(out)p 859
3788 2173 V 30 w(iteration)p 1285 2173 V 28 w(process)21 b
3789 Fp(is)j(called)g(and)f(the)i(line's)f(exit)g(p)r(oin)n(t)g
3790 Fn(q)j Fp(out)d(of)g(the)g(fan)722 2273 y(is)33 b(found.)51
3791 b(Due)33 b(tothe)g(p)r(oten)n(tial)f(am)n(biguit)n(y)g(of)g(the)h
3792 Fj(out)p 2625 2273 V 30 w(iteration)p 3051 2273 V 28
3793 w(process)722 2373 y Fp(result,)e(it)f(is)h(not)f(safe)f(to)i(assume)e
3794 (that)h(the)h(p)r(oin)n(t)f Fn(q)k Fp(is)c(the)g(nearest)g(exit)g(p)r
3795 (oin)n(t.)722 2472 y(If)e(the)g(p)r(oin)n(t)g Fn(a)g
3796 Fp(is)f(p)r(ositioned)h(inside)f(the)h(fan)g(then)g Fn(q)j
3797 Fp(is)c(set)h(equal)f(to)g Fn(a)p Fp(.)722 2605 y(Next)j(there)g(is)g
3798 (a)f(searc)n(h)f(for)h(the)i(most)e(distan)n(t)h(p)r(oin)n(t)g(of)f
3799 (segmen)n(t)h Fn(pq)i Fp(from)e(the)722 2705 y(neutral)25
3800 b(\014bre.)36 b(If)26 b(there)f(is)h(a)f(p)r(oin)n(t)g(outside)h(the)f
3801 (v)n(ertical)g(fan)g(on)g Fn(pq)s Fp(,)h(then)g(a)f(new)722
3802 2804 y Fj(out)p 859 2804 V 30 w(iteration)p 1285 2804
3803 V 28 w(process)g Fp(is)i(called)h(and)f(its)h(result)f(is)h(returned.)
3804 722 2937 y(If)19 b(the)g(p)r(oin)n(t)f Fn(q)k Fp(has)c(b)r(een)h(found)
3805 f(earlier)f(b)n(y)h(the)h(function)g Fj(out)p 2683 2937
3806 V 30 w(iteration)p 3109 2937 V 28 w(process)722 3037
3807 y Fp(then)26 b Fn(q)i Fp(is)c(the)i(p)r(oin)n(t)f(desired,)g(and)f(the)
3808 h(function)h(returns)e(the)h(length)g(of)g(the)g(seg-)722
3809 3136 y(men)n(t)41 b Fn(pq)s Fp(.)74 b(Otherwise)39 b(the)h(searc)n(h)f
3810 (for)g(the)i(exit)f(p)r(oin)n(t)g(is)g(p)r(erformed)f(in)i(the)722
3811 3236 y(neigh)n(b)r(or)c(half-w)n(a)n(v)n(e)f(of)h(the)h(fan)g(in)g(the)
3812 g(direction)f(of)h(the)g(segmen)n(t)f Fn(pq)s Fp(.)67
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3814 (if)i Fn(pq)i Fp(is)c(directed)h(b)r(ey)n(ond)g(the)g(b)r(eginning)722
3815 3435 y(of)j(the)h(\014rst)e(half-w)n(a)n(v)n(e)f(or)i(b)r(ey)n(ond)f
3816 (the)i(end)f(of)g(last)f(half-w)n(a)n(v)n(e)f(of)i(the)h(fan.)53
3817 b(In)722 3535 y(that)28 b(case)f(the)h(function)g(returns)f(the)h
3818 (length)g(of)f(the)h(segmen)n(t)f Fn(pq)s Fp(.)722 3668
3819 y(Due)j(to)f(the)h(prop)r(erties)e(of)i(the)f(geometry)f(the)i(searc)n
3820 (h)e(for)h(the)g(exiting)g(p)r(oin)n(t)h(in)722 3767
3821 y(the)e(neigh)n(b)r(or)f(half-w)n(a)n(v)n(e)e(could)j(sometimes)f(b)r
3822 (e)h(simpli\014ed.)639 3933 y Fl(\017)41 b Fj(DistanceToOut)p
3823 Fp(\()q Fn(~)-43 b(p)-5 b(;)11 b(~)-39 b(v)s(;)14 b(:)g(:)g(:)p
3824 Fp(\))722 4033 y(This)29 b(function)g(c)n(hec)n(ks)e(if)i(the)f(p)r
3825 (oin)n(t)h Fn(p)f Fp(is)g(inside)h(of)f(the)h Fj(BoundingPolycone)o
3826 Fp(.)34 b(If)722 4133 y(y)n(es,)e(then)f(it)h(determines)f(inside)g(of)
3827 h(whic)n(h)f(fan)g(the)h(p)r(oin)n(t)f Fn(p)g Fp(is)g(p)r(ositioned)g
3828 (and)722 4232 y(returns)g(the)g(distance)g(to)g(the)g(fan's)g(surface)f
3829 (along)g(the)h(v)n(ector)c Fn(~)-39 b(v)s Fp(.)47 b(If)32
3830 b(the)f(p)r(oin)n(t)722 4332 y Fn(p)37 b Fp(is)g(not)g(inside)g(of)g
3831 (an)n(y)f(fan)h(or)f(outside)g(of)h(the)h Fj(BoundingPolycon)o(e)p
3832 Fp(,)33 b(zero)j(is)722 4431 y(returned.)722 4564 y(The)19
3833 b(function)h(has)f(three)g(more)f(parameters,)h(whic)n(h)g(are)f
3834 (substituted)i(b)n(y)f(\\.)13 b(.)h(.)g(")34 b(in)722
3835 4664 y(the)20 b(header.)34 b(These)19 b(parameters)f(are)h
3836 Fj(G4bool)41 b(calcNorm)p Fp(,)18 b Fj(G4bool)41 b(*ValidNorm)722
3837 4764 y Fp(and)35 b Fj(G4ThreeVector)j(*n)p Fp(.)57 b(According)34
3838 b(to)h(Gean)n(t4)f(rules,)h(if)h(the)f Fj(calcNorm)c
3839 Fp(is)722 4863 y(true)39 b(then)h(the)f(function)h(has)e(to)h(set)g
3840 (parameters)e Fj(*ValidNorm)e Fp(and)k Fj(*n)f Fp(in)h(a)722
3841 4963 y(de\014ned)32 b(w)n(a)n(y)-7 b(.)47 b Fj(DistanceToOut)25
3842 b Fp(alw)n(a)n(ys)30 b(sets)h(the)g Fj(*ValidNorm)d Fp(to)j(false.)47
3843 b(That)1905 5255 y(13)p eop
3844 %%Page: 14 14
3845 14 13 bop 722 523 a Fp(means)20 b(the)i(solid)e(do)r(es)g(not)h(lie)f
3846 (en)n(tirely)h(b)r(ehind)g(the)g(exiting)g(surface)2935
3847 493 y Ff(1)2971 523 y Fp(.)34 b(The)21 b(v)-5 b(alue)722
3848 623 y(of)28 b Fj(*n)f Fp(has)g(no)g(meaning)g(in)h(this)g(case.)639
3849 789 y Fl(\017)41 b Fj(in)p 815 789 27 4 v 31 w(iteration)p
3850 1242 789 V 28 w(process)p Fp(\()q Fn(~)-43 b(p)m(;)14
3851 b(~)-42 b(q)s Fp(\))722 888 y(This)30 b(function)g(searc)n(hes)e(the)i
3852 (en)n(trance)e(p)r(oin)n(t)i(of)g(segmen)n(t)f Fn(pq)j
3853 Fp(in)n(to)d(the)h(v)n(ertical)722 988 y(fan)k(when)f(p)r(oin)n(ts)h
3854 Fn(p)f Fp(and)g Fn(q)j Fp(are)d(p)r(ositioned)g(on)g(di\013eren)n(t)g
3855 (sides)g(of)h(the)f(neutral)722 1088 y(\014bre.)54 b(\(This)34
3856 b(means)f(that)g(the)h(distances)f(from)g Fn(p)g Fp(and)g(from)g
3857 Fn(q)k Fp(to)c(the)g(neutral)722 1187 y(\014bre)28 b(are)e(of)i(the)g
3858 (di\013eren)n(t)f(signs.\))722 1320 y(The)d(function)f(uses)g(the)h
3859 (iterativ)n(e)e(tec)n(hnique)h(of)g(dividing)g(a)g(segmen)n(t)g(in)g
3860 (half.)36 b(A)n(t)722 1420 y(the)28 b Fn(i)p Fp(th)g(step)1597
3861 1560 y Fn(~)-43 b(p)1638 1572 y Fm(i)p Ff(+1)1773 1560
3862 y Fp(=)23 b Fn(~)-42 b(p)1903 1572 y Fm(i)1930 1560 y
3863 Fn(;)14 b(~)-42 b(q)2004 1572 y Fm(i)p Ff(+1)2139 1560
3864 y Fp(=)2237 1503 y Fn(~)f(p)2278 1515 y Fm(i)2324 1503
3865 y Fp(+)18 b Fn(~)-42 b(q)2444 1515 y Fm(i)p 2236 1541
3866 236 4 v 2333 1617 a Fp(2)2482 1560 y Fn(;)722 1753 y
3867 Fp(if)26 b(the)f(p)r(oin)n(t)1161 1716 y Fm(~)-35 b(p)1194
3868 1724 y Fc(i)1220 1716 y Ff(+)p Fm(~)h(q)1301 1724 y Fc(i)p
3869 1160 1734 169 4 v 1227 1782 a Ff(2)1363 1753 y Fp(is)25
3870 b(p)r(ositioned)f(on)h(a)g(di\013eren)n(t)g(side)f(of)h(the)g(neutral)g
3871 (\014bre)f(from)722 1853 y(p)r(oin)n(t)k Fn(p)g Fp(or)e(is)i(not)f(lo)r
3872 (cated)h(outside)f(of)h(the)g(fan,)f(and)1599 2076 y
3873 Fn(~)-42 b(p)1641 2088 y Fm(i)p Ff(+1)1775 2076 y Fp(=)1874
3874 2020 y Fn(~)f(p)1915 2032 y Fm(i)1961 2020 y Fp(+)18
3875 b Fn(~)-42 b(q)2081 2032 y Fm(i)p 1873 2057 236 4 v 1970
3876 2133 a Fp(2)2118 2076 y Fn(;)14 b(~)-42 b(q)2192 2088
3877 y Fm(i)p Ff(+1)2327 2076 y Fp(=)23 b Fn(~)-42 b(q)2452
3878 2088 y Fm(i)2479 2076 y Fn(;)722 2287 y Fp(otherwise.)43
3879 b(The)30 b(pro)r(cess)e(stops)i(when)g Fl(j)q Fn(~)-43
3880 b(p)2095 2299 y Fm(i)2142 2287 y Fl(\000)19 b Fn(~)-42
3881 b(q)2263 2299 y Fm(i)2291 2287 y Fl(j)27 b Fn(<)f Fj(IterationPrecisi)o
3882 (on)e Fp(or)k Fn(i)722 2386 y Fp(has)f(reac)n(hed)g(the)h
3883 Fj(IterationsLimit)o Fp(.)722 2519 y(The)39 b(function)h(returns)e(the)
3884 h(distance)g(from)g(the)g(p)r(oin)n(t)g Fn(p)g Fp(to)g(the)g(en)n
3885 (trance)f(of)722 2619 y(segmen)n(t)27 b Fn(pq)k Fp(in)n(to)c(the)h
3886 (fan.)37 b(The)28 b(resulting)f(p)r(oin)n(t)h(is)f(not)h(outside)f(the)
3887 h(fan.)722 2752 y(The)c(function)g(also)f(requires)f(as)h(a)g
3888 (parameter)f(the)i(distance)g(from)f(p)r(oin)n(t)h Fn(p)f
3889 Fp(to)h(the)722 2851 y(neutral)32 b(\014bre.)50 b(Usually)32
3890 b(this)h(v)-5 b(alue)32 b(has)f(already)g(b)r(een)i(calculated)e
3891 (somewhere)722 2951 y(in)d(a)f(calling)g(routine,)g(so)g(it)h(helps)g
3892 (to)g(exclude)f(unnecessary)f(calculations.)639 3117
3893 y Fl(\017)41 b Fj(search)p 991 3117 27 4 v 29 w(for)p
3894 1152 3117 V 30 w(nearest)p 1490 3117 V 29 w(point)p Fp(\()q
3895 Fn(~)-43 b(p)n(;)14 b(~)-42 b(q)s Fp(\))722 3216 y(This)42
3896 b(function)f(searc)n(hes)f(for)h(the)g(p)r(oin)n(t)h(on)f(the)h(segmen)
3897 n(t)e Fn(pq)45 b Fp(for)40 b(whic)n(h)i(the)722 3316
3898 y(distance)24 b Fn(d)g Fp(to)g(the)g(neutral)g(\014bre)g(of)g(the)g(v)n
3899 (ertical)f(fan)h(is)g(minimal.)36 b(It)24 b(is)g(assumed)722
3900 3416 y(that)29 b(v)-5 b(alue)29 b(of)f Fn(d)h Fp(is)f(unique.)40
3901 b(The)29 b(p)r(oin)n(ts)f Fn(p)h Fp(and)f Fn(q)k Fp(are)27
3902 b(p)r(ositioned)h(on)h(the)g(same)722 3515 y(side)23
3903 b(of)g(the)g(neutral)f(\014bre,)h(so)f(the)i(signs)d(of)i
3904 Fn(d)p Fp(\()q Fn(~)-43 b(p)p Fp(\))23 b(and)g Fn(d)p
3905 Fp(\()p Fn(~)-42 b(q)t Fp(\))23 b(are)e(equal.)35 b(If)23
3906 b(they)g(are)722 3615 y(negativ)n(e)j(it)i(is)e(tak)n(en)h(in)n(to)f
3907 (accoun)n(t)h(b)n(y)f(the)i(corresp)r(onding)d(w)n(a)n(y:)35
3908 b Fj(kInfinity)23 b Fp(is)722 3715 y(returned)28 b(if)h(the)g(p)r(oin)n
3909 (t)f(of)h(segmen)n(t)e Fn(pq)32 b Fp(nearest)27 b(to)h(the)h(neutral)f
3910 (\014bre)g(is)g(outside)722 3814 y(of)g(the)g(fan;)g(if)g(the)g(p)r
3911 (oin)n(t)f(is)h(inside)g(the)g(fan)f(the)h(v)-5 b(alue)28
3912 b(returned)f(is)g(the)h(distance)722 3914 y(from)g Fn(p)f
3913 Fp(to)g(the)h(fan's)g(surface)f(along)f(the)i(segmen)n(t)f
3914 Fn(pq)s Fp(.)722 4047 y(The)h(searc)n(h)e(is)h(conducted)h(b)n(y)f
3915 (dividing)h(the)g(segmen)n(t)f(in)h(half.)37 b(A)n(t)28
3916 b(the)g Fn(i)p Fp(th)f(step)1599 4270 y Fn(~)-42 b(p)1641
3917 4282 y Fm(i)p Ff(+1)1775 4270 y Fp(=)1874 4213 y Fn(~)f(p)1915
3918 4225 y Fm(i)1961 4213 y Fp(+)18 b Fn(~)-42 b(q)2081 4225
3919 y Fm(i)p 1873 4251 236 4 v 1970 4327 a Fp(2)2118 4270
3920 y Fn(;)14 b(~)-42 b(q)2192 4282 y Fm(i)p Ff(+1)2327 4270
3921 y Fp(=)23 b Fn(~)-42 b(q)2452 4282 y Fm(i)2479 4270 y
3922 Fn(;)722 4497 y Fp(if)28 b(the)g(sign)f(of)h(the)g(deriv)-5
3923 b(ativ)n(e)27 b Fn(d)1774 4467 y Fe(0)1825 4497 y Fp(in)h(the)g(p)r
3924 (oin)n(t)2293 4460 y Fm(~)-35 b(p)2326 4468 y Fc(i)2352
3925 4460 y Ff(+)p Fm(~)h(q)2433 4468 y Fc(i)p 2292 4478 169
3926 4 v 2359 4525 a Ff(2)2497 4497 y Fp(is)28 b(negativ)n(e,)e(and)1597
3927 4732 y Fn(~)-43 b(p)1638 4744 y Fm(i)p Ff(+1)1773 4732
3928 y Fp(=)23 b Fn(~)-42 b(p)1903 4744 y Fm(i)1930 4732 y
3929 Fn(;)14 b(~)-42 b(q)2004 4744 y Fm(i)p Ff(+1)2139 4732
3930 y Fp(=)2237 4676 y Fn(~)f(p)2278 4688 y Fm(i)2324 4676
3931 y Fp(+)18 b Fn(~)-42 b(q)2444 4688 y Fm(i)p 2236 4713
3932 236 4 v 2333 4789 a Fp(2)2482 4732 y Fn(;)p 515 4842
3933 1146 4 v 607 4896 a Fb(1)642 4919 y Fa(This)22 b(is)h(not)h(absolutely)
3934 g(correct,)f(but)h(is)e(not)i(of)f(great)h(imp)r(ortance.)31
3935 b(T)-6 b(o)23 b(b)r(e)h(c)n(hec)n(k)n(ed)h(if)d(necessary)1905
3936 5255 y Fp(14)p eop
3937 %%Page: 15 15
3938 15 14 bop 722 523 a Fp(otherwise.)36 b(The)28 b(sign)f(of)h
3939 Fn(d)1604 493 y Fe(0)1655 523 y Fp(is)f(de\014ned)h(as)f(the)h(sign)f
3940 (of)h(the)g(expression)1554 719 y Fn(d)p Fp(\()1640 662
3941 y Fn(~)-43 b(p)1681 674 y Fm(i)1728 662 y Fp(+)17 b Fn(~)-41
3942 b(q)1848 674 y Fm(i)p 1640 700 236 4 v 1737 776 a Fp(2)1885
3943 719 y(\))19 b Fl(\000)f Fn(d)p Fp(\()2105 662 y Fn(~)-43
3944 b(p)2146 674 y Fm(i)2192 662 y Fp(+)18 b Fn(~)-42 b(q)2312
3945 674 y Fm(i)p 2105 700 V 2202 776 a Fp(2)2369 719 y Fl(\000)2449
3946 697 y Fn(~)2452 719 y(\016)s Fp(\))p Fn(;)722 897 y Fp(where)1405
3947 999 y Fn(~)1408 1021 y(\016)26 b Fp(=)1591 965 y Fn(~)-42
3948 b(q)22 b Fl(\000)d Fn(~)-43 b(p)p 1568 1002 230 4 v 1568
3949 1078 a Fl(j)p Fn(~)h(q)22 b Fl(\000)d Fn(~)-43 b(p)p
3950 Fl(j)1826 1021 y(\002)18 b Fj(IterationPrecisio)o(n)722
3951 1198 y Fp(is)40 b(a)f(small)g(v)n(ector)f(along)g(the)i(segmen)n(t)f
3952 Fn(pq)s Fp(.)72 b(The)40 b(pro)r(cess)e(is)h(stopp)r(ed)h(when)722
3953 1298 y Fl(j)q Fn(~)-43 b(p)787 1310 y Fm(i)835 1298 y
3954 Fl(\000)19 b Fn(~)-42 b(q)956 1310 y Fm(i)984 1298 y
3955 Fl(j)27 b Fn(<)f Fj(IterationPrecisio)o(n)e Fp(or)29
3956 b Fn(i)g Fp(has)g(reac)n(hed)g(the)h Fj(IterationsLimit)p
3957 Fp(.)722 1397 y(The)35 b(pro)r(cess)d(is)j(stopp)r(ed)f(prematurely)f
3958 (if)i(the)f(p)r(oin)n(t)2546 1360 y Fm(~)-35 b(p)2579
3959 1368 y Fc(i)2605 1360 y Ff(+)p Fm(~)h(q)2686 1368 y Fc(i)p
3960 2545 1378 169 4 v 2612 1426 a Ff(2)2757 1397 y Fp(is)34
3961 b(lo)r(cated)g(on)g(the)722 1497 y(opp)r(osite)28 b(side)f(of)h(the)g
3962 (neutral)f(\014bre)g(from)g(p)r(oin)n(t)h Fn(p)p Fp(.)37
3963 b(In)28 b(this)g(case)e(function)722 1597 y Fj(in)p 815
3964 1597 27 4 v 31 w(iteration)p 1242 1597 V 28 w(process)p
3965 Fp(\()q Fn(~)-43 b(p)m(;)1692 1560 y Fm(~)-35 b(p)1725
3966 1568 y Fc(i)1751 1560 y Ff(+)p Fm(~)h(q)1832 1568 y Fc(i)p
3967 1691 1577 169 4 v 1758 1625 a Ff(2)1869 1597 y Fp(\))28
3968 b(is)f(called)g(and)h(the)g(result)f(is)h(returned.)722
3969 1724 y(If)c(the)g(pro)r(cess)e(has)h(not)h(b)r(een)f(stopp)r(ed)h
3970 (prematurely)f(and)g(the)h(resulting)f(p)r(oin)n(t)g(is)722
3971 1824 y(inside)e(of)f(the)g(fan)g(then)h(the)f(function)h
3972 Fj(in)p 2034 1824 27 4 v 31 w(iteration)p 2461 1824 V
3973 27 w(process)d Fp(is)i(called,)h(and)f(its)722 1923 y(result)k(is)h
3974 (returned.)35 b(Otherwise,)25 b(the)f(function)i(c)n(hec)n(ks)d(if)i
3975 Fn(p)f Fp(or)g Fn(q)j Fp(are)d(inside,)h(and,)722 2023
3976 y(if)g(y)n(es,)g(selects)f(the)h(nearest)e(to)i(the)g(neutral)f
3977 (\014bre;)h(if)g(not,)g(the)g(whole)f(segmen)n(t)g Fn(pq)722
3978 2122 y Fp(is)k(outside)f(the)h(fan)g(and)f(the)h(function)g(returns)f
3979 Fj(kInfinity)p Fp(.)722 2250 y(The)h(resulting)f(p)r(oin)n(t)h(is)f
3980 (not)h(outside)f(the)h(fan.)639 2405 y Fl(\017)41 b Fj(distance)p
3981 1079 2405 V 28 w(to)p 1195 2405 V 31 w(in)p Fp(\()q Fn(~)-43
3982 b(p)o(;)11 b(~)-39 b(v)s Fp(\))24 b(This)g(function)g(calculates)f(the)
3983 h(distance)f(from)h(the)g(p)r(oin)n(t)722 2505 y Fn(p)k
3984 Fp(to)f(the)h(v)n(ertical)f(fan's)g(surface)g(along)f(the)i(v)n(ector)
3985 23 b Fn(~)-38 b(v)s Fp(.)722 2632 y(First,)29 b(a)g Fj(FanSection)24
3986 b Fp(con)n(taining)k(p)r(oin)n(t)h Fn(p)g Fp(is)f(selected.)40
3987 b(The)29 b(p)r(oin)n(t)g Fn(q)j Fp(is)d(found,)722 2732
3988 y(where)j Fn(q)k Fp(is)c(in)n(tersection)g(of)h(the)f(line)i
3989 Fn(~)-43 b(p)22 b Fp(+)c Fn(~)-39 b(v)s(t)33 b Fp(with)g(the)g(surface)
3990 f(of)g(the)h(curren)n(t)722 2831 y Fj(FanSection)p Fp(.)53
3991 b(If)34 b(the)h(p)r(oin)n(ts)f Fn(p)g Fp(and)g Fn(q)j
3992 Fp(are)c(p)r(ositioned)h(on)g(the)g(di\013eren)n(t)g(sides)722
3993 2931 y(of)j(the)g(fan's)f(neutral)h(\014bre)f(then)h(the)g(in)n
3994 (tersection)f(of)h Fn(~)-42 b(p)24 b Fp(+)d Fn(~)-39
3995 b(v)s(t)37 b Fp(and)f(the)h(fan)g(is)722 3030 y(certainly)e(b)r(et)n(w)
3996 n(een)f(the)i(b)r(oundaries)e(of)h(the)g(curren)n(t)f(half-w)n(a)n(v)n
3997 (e;)j(the)e(function)722 3130 y Fj(in)p 815 3130 V 31
3998 w(iteration)p 1242 3130 V 28 w(process)p Fp(\()q Fn(~)-43
3999 b(p)m(;)14 b(~)-42 b(q)s Fp(\))33 b(is)g(called,)h(and)f(its)g(result)f
4000 (is)h(returned.)53 b(Other-)722 3230 y(wise)22 b(the)g(function)g
4001 Fj(search)p 1622 3230 V 29 w(for)p 1783 3230 V 30 w(nearest)p
4002 2121 3230 V 29 w(point)p Fp(\()q Fn(~)-43 b(p)n(;)14
4003 b(~)-42 b(q)s Fp(\))22 b(is)f(called.)35 b(If)22 b(its)g(result)f(is)
4004 722 3329 y Fj(kInfinity)c Fp(then)k(there)f(is)g(no)h(in)n(tersection)e
4005 (in)i(the)g(curren)n(t)e(half-w)n(a)n(v)n(e;)i(otherwise)722
4006 3429 y(the)28 b(result)g(is)f(the)h(distance)f(desired)g(and)h(the)g
4007 (function)g(returns)f(it.)722 3556 y(If)34 b(there)f(is)f(no)h(in)n
4008 (tersection)f(with)i(the)f(curren)n(t)f(half-w)n(a)n(v)n(e,)h(then)g
4009 (the)h(searc)n(h)d(is)722 3656 y(mo)n(v)n(ed)19 b(to)h(the)g(neigh)n(b)
4010 r(oring)f(half-w)n(a)n(v)n(e)f(along)h(the)h(direction)g(of)g(the)g(v)n
4011 (ector)c Fn(~)-39 b(v)s Fp(.)34 b(If)18 b Fn(~)-39 b(v)722
4012 3756 y Fp(p)r(oin)n(ts)22 b(b)r(ey)n(ond)f(the)h(b)r(eginning)f(of)g
4013 (the)h(\014rst)g(half-w)n(a)n(v)n(e)d(or)i(b)r(ey)n(ond)g(the)h(end)f
4014 (of)h(the)722 3855 y(last)28 b(half-w)n(a)n(v)n(e,)d(searc)n(h)h(is)i
4015 (not)f(mo)n(v)n(ed)g(and)g(the)h(function)h(returns)e
4016 Fj(kInfinity)p Fp(.)722 3982 y(If)37 b(the)g(result)g(is)f(still)h(not)
4017 g(obtained,)i(it)e(is)f(necessary)f(to)i(searc)n(h)e(for)h(en)n(trance)
4018 722 4082 y(p)r(oin)n(t)30 b(in)f(the)g(t)n(w)n(o)g(neigh)n(b)r(oring)e
4019 (fan)i(sections)g(in)g(the)h(direction)e(of)e Fn(~)-39
4020 b(v)s Fp(;)30 b(an)n(y)f(other)722 4182 y(sections)e(are)g(hidden)h(b)n
4021 (y)f(the)h(neigh)n(b)r(oring)f(fans.)639 4337 y Fl(\017)41
4022 b Fj(DistanceToIn)p Fp(\()q Fn(~)-43 b(p)-5 b(;)11 b(~)-39
4023 b(v)t Fp(\))722 4436 y(The)30 b(function)g(c)n(hec)n(ks)f(if)h(the)g(p)
4024 r(oin)n(t)g Fn(p)g Fp(is)f(inside)h(of)g(the)g Fj(BoundingPolycone)o
4025 Fp(.)38 b(If)722 4536 y(it)g(is)g(outside,)i(the)e(function)h(tries)e
4026 (to)h(\014nd)g(out)f(the)i(en)n(trance)d(p)r(oin)n(t)i(in)n(to)g(the)
4027 722 4636 y Fj(BoundingPolycone)p Fp(,)19 b(calculates)k(distance)h
4028 (from)g(that)g(p)r(oin)n(t)g(to)g(the)h(nearest)e(fan)722
4029 4735 y(and)34 b(returns)g(the)h(sum)f(of)g(these)h(t)n(w)n(o)e
4030 (distances.)57 b(If)34 b Fn(p)h Fp(is)f(inside,)i(the)e(function)722
4031 4835 y(just)28 b(determines)g(the)g(distance)f(required.)639
4032 4990 y Fl(\017)41 b Fp(There)27 b(are)g(also)f(sev)n(eral)g
4033 Fj(Get)p Fp(-functions)h(for)g(data)g(mem)n(b)r(ers,)g(see)g(class)g
4034 (header.)1905 5255 y(15)p eop
4035 %%Page: 16 16
4036 16 15 bop 515 523 a Fq(5)134 b Fk(LArWheelEnergyC)o(al)o(cu)o(la)o(to)o
4037 (r)515 705 y Fp(Class)43 b Fj(LArWheelEnergyC)o(alc)o(ul)o(ato)o(r)38
4038 b Fp(is)43 b(resp)r(onsible)g(hits)i(pro)r(cessing)d(in)i(Gean)n(t4-)
4039 515 805 y(trac)n(king.)35 b(It)28 b(is)g(lo)r(cated)f(in)h
4040 Fj(LArCalorimeter/)o(LAr)o(G4)o(/LA)o(rG)o(4E)o(C)22
4041 b Fp(pac)n(k)-5 b(age.)639 904 y(The)41 b(class)f(inherits)h(from)g
4042 Fj(LArWheelCalculat)o(or)35 b Fp(\(so)40 b(it)i(con)n(tains)e
4043 (geometrical)515 1004 y(engine\))19 b(and)h(from)f Fj(LArVCalculator)14
4044 b Fp(\(so)20 b(it)g(pro)n(vides)e(hits)i(pro)r(cessing)e(in)n
4045 (terface\).)34 b(The)515 1103 y(class)28 b(also)g(resp)r(onsible)g(for)
4046 h(former)f Fj(LArEMECEnergyCor)o(re)o(cti)o(on)23 b Fp(functions,)29
4047 b(namely)515 1203 y(for)e(v)-5 b(arious)26 b(energy)h(corrections.)639
4048 1303 y(Constructor)17 b(is)h Fj(LArWheelEnergyCal)o(cul)o(at)o(or\()o
4049 (LA)o(rW)o(hee)o(lC)o(alc)o(ul)o(at)o(or:)o(:L)o(ArW)o(he)o(elC)o(al)o
4050 (cu)o(lat)o(or)p 3923 1303 27 4 v 25 w(t)515 1402 y(type,)41
4051 b(EMECEnergyCorrect)o(io)o(n)p 1659 1402 V 25 w(t)j(corr)d(=)j(EMEC)p
4052 2253 1402 V 29 w(ECOR)p 2458 1402 V 30 w(ROPT\))p Fp(.)21
4053 b Fj(type)h Fp(m)n(ust)h(b)r(e)g(one)515 1502 y(of)k(absorb)r(er's)f(t)
4054 n(yp)r(es.)36 b Fj(corr)26 b Fp(is)h(an)h(energy)e(correction)f(t)n(yp)
4055 r(e,)j(default)g(v)-5 b(alue)27 b(for)g(it)h(is)f(to)515
4056 1602 y(tak)n(e)g(correction)f(t)n(yp)r(e)h(from)h(run)f(options.)639
4057 1701 y(Some)32 b(geometrical)e(functions)j(sp)r(eci\014c)f(for)f
4058 (energy)g(correction)f(are)h(also)g(included)515 1801
4059 y(in)d(the)g(class.)515 2075 y Fq(6)134 b(LArF)-11 b(anSolid)515
4060 2257 y Fp(There)19 b(w)n(as)f(an)h(attempt)i(to)e(create)f(a)i(Gean)n
4061 (t4)e(solid)h(for)g(a)g(separate)f(fan.)35 b Fj(LArFanSolid)p
4062 Fp('s)515 2357 y(algorithms)26 b(are)h(the)h(same)f(as)f(for)i(the)g(v)
4063 n(ertical)e(fan)i(of)f Fj(LArWheelSolid)p Fp(.)639 2456
4064 y(The)19 b(approac)n(h)d(seemed)i(promising,)i(but)f(unfortunately)-7
4065 b(,)20 b(\014rst)e(v)n(ersion)f(of)h Fj(LArFanSolid)515
4066 2556 y Fp(had)33 b(v)n(ery)f(p)r(o)r(or)h(p)r(erformance)g(comparing)f
4067 (with)i Fj(LArWheelSolid)p Fp(.)49 b(So)34 b(dev)n(elopmen)n(t)515
4068 2656 y(of)27 b(this)h(branc)n(h)f(w)n(as)f(frozen.)639
4069 2755 y(Single)33 b(fans)g(could)g(b)r(e)h(used)f(to)g(describ)r(e)g
4070 (some)g(kinds)g(of)g(deformations.)53 b(F)-7 b(or)32
4071 b(in-)515 2855 y(stance,)i(radial)e(shift)h(of)g(eac)n(h)g(fan)g(can)g
4072 (hardly)f(b)r(e)h(implemen)n(ted)h(in)f Fj(LArWheelSolid)515
4073 2955 y Fp(approac)n(h.)515 3229 y Fq(References)556 3411
4074 y Fp([1])41 b Fo(http://wwwinfo.c)l(ern.ch/asd/g)q(e)l(ant4/)p
4075 685 3445 1319 4 v 34 w Fp(|)27 b(Gean)n(t4)g(Homepage.)556
4076 3577 y([2])41 b(A)-7 b(TLAS)32 b(T)-7 b(ec)n(hnical)31
4077 b(Design)h(Rep)r(ort,)g(Ch.)g(7)f(|)g Fo(\\The)j(ele)l(ctr)l(omagnetic)
4078 g(end-c)l(ap)685 3677 y(c)l(alorimeter)d(and)g(pr)l(esampler")6
4079 b Fp(.)556 3843 y([3])41 b(A.)34 b(Chekh)n(tman,)g(D.)g(F)-7
4080 b(ouc)n(hez,)34 b(E.)f(Monnier.)g Fo(\\The)i(A)l(c)l(c)l(or)l(dion)h
4081 (in)f(the)g(end-c)l(ap:)685 3942 y(ge)l(ometry)c(and)f(char)l
4082 (acteristics")6 b Fp(,)29 b(A)-7 b(T)g(ALS-LAR)n(G-NO-4.)556
4083 4108 y([4])41 b(S.)34 b(Klimenk)n(o,)g(Y)-7 b(u.)34 b(Tikhono)n(v,)g
4084 (A.)g(Chekh)n(tman.)g Fo(\\The)h(Design)h(of)g(Endc)l(ap)g(EM)685
4085 4208 y(Calorimeter)44 b(with)f(Constant)f(Thickness)i(of)f(the)f(A)n
4086 (bsorb)l(er)h(Plates")6 b Fp(,)45 b(A)-7 b(TLAS-)685
4087 4308 y(LAR)n(G-NO-025.)556 4474 y([5])41 b(O.)24 b(Martin,)h(E.)f
4088 (Monnier,)g(S.)g(Tisseran)n(t.)f Fo(\\Up)l(date)k(of)h(some)f(Ge)l
4089 (ometric)l(al)g(Par)l(am-)685 4573 y(eters)d(for)h(the)f(A)-6
4090 b(TLAS)22 b(E.M.)k(End-Cap)f(Calorimeter")6 b Fp(,)24
4091 b(A)-7 b(T)g(ALS-LAR)n(G-NO-047.)556 4739 y([6])41 b(L.)j(Martin,)j
4092 (J.-L.)c(Gimenez,)k(A.)d(Chekh)n(tman.)f Fo(\\Cr)l(e)l(ating)i(IGES)f
4093 (\014les)h(of)g(ab-)685 4839 y(sorb)l(ers")28 b Fp
4094 (\(ABS.YYY.00.DRa.3\).)556 5005 y([7])41 b(Gean)n(t4)27
4095 b(User's)g(Guide)h(|)g(F)-7 b(or)27 b(T)-7 b(o)r(olkit)27
4096 b(Dev)n(elop)r(ers,)g(sec.)g(4)g(\\Geometry".)1905 5255
4097 y(16)p eop
4098 %%Page: 17 17
4099 17 16 bop 556 523 a Fp([8])41 b(A.Soukharev.)28 b(A)-7
4100 b(TLAS)29 b(Soft)n(w)n(are)e(W)-7 b(orkshop,)27 b(\\Gean)n(t4)g(Sim)n
4101 (ulation)h(of)g(A)-7 b(TLAS)685 623 y(EM)28 b(Endcap")e(presen)n
4102 (tation,)h(13)f(Ma)n(y)h(2003.)556 789 y([9])41 b(A.)33
4103 b(Soukharev,)f(J.)g(T\023)-42 b(oth.)32 b(LAr)g(Soft)n(w)n(are)f(and)h
4104 (P)n(erformance)e(meeting,)j(\\EMEC)685 888 y(Sim)n(ulation")27
4105 b(presen)n(tation,)g(12)g(No)n(v)n(em)n(b)r(er)f(2004.)515
4106 1054 y([10])40 b(C.)25 b(Cerfon,)f(A.)g(Soukharev,)g(J.)g(T\023)-42
4107 b(oth.)24 b(Liquid)g(Argon)f(Sim)n(ulation)h(meeting,)h(\\Sta-)685
4108 1154 y(tus)d(of)f(Gean)n(t4)f(A)-7 b(TLAS)22 b(EMEC)f(Sim)n(ulation")f
4109 (presen)n(tation,)i(16)e(No)n(v)n(em)n(b)r(er)g(2004.)1905
4110 5255 y(17)p eop
4111 %%Trailer
4112 end
4113 userdict /end-hook known{end-hook}if
4114 %%EOF
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