VVIObjFDetails Namespace Reference

Functions
template<typename F >
int	dzero (float a, float b, float &x0, float &rv, float eps, int mxf, F func)
	Private version of the exponential integral. More...
float	expint (float x)
	Private version of the cosine and sine integral. More...
void	sincosint (float x, float &sint, float &cint)

Function Documentation

template<typename F >

int VVIObjFDetails::dzero	(	float	a,
		float	b,
		float &	x0,
		float &	rv,
		float	eps,
		int	mxf,
		F	func
	)

Private version of the exponential integral.

Definition at line 321 of file VVIObjF.cc.

References funct::abs(), f, connectstrParser::f1, connectstrParser::f2, connectstrParser::f3, benchmark_cfg::fa, benchmark_cfg::fb, alignCSCRings::ff, jets_cff::func, SiStripPI::max, CaloTowersParam_cfi::mc, min(), MetAnalyzer::u1, MetAnalyzer::u2, globals_cff::x1, globals_cff::x2, and geometryCSVtoXML::xx.

Referenced by VVIObjF::VVIObjF().

                                                    {
      /* System generated locals */
      float d__1, d__2, d__3, d__4;
      
      // Local variables
      float f1, f2, f3, u1, u2, x1, x2, u3, u4, x3, ca, cb, cc, fa, fb, ee, ff;
      int mc;
      float xa, xb, fx, xx, su4;
      
      xa = std::min(a,b);
      xb = std::max(a,b);
      fa = func(xa);
      fb = func(xb);
      if (fa * fb > 0.f) {
         rv = (xb - xa) * -2.f;
         x0 = 0.f;
         return 1;
      }
      mc = 0;
   L1:
      x0 = (xa + xb) * 0.5f;
      rv = x0 - xa;
      ee = eps * (std::abs(x0) + 1.f);
      if (rv <= ee) {
         rv = ee;
         ff = func(x0);
         return 0;
      }
      f1 = fa;
      x1 = xa;
      f2 = fb;
      x2 = xb;
   L2:
      fx = func(x0);
      ++mc;
      if (mc > mxf) {
         rv = (d__1 = xb - xa, fabs(d__1)) * -0.5f;
         x0 = 0.;
         return 0;
      }
      if (fx * fa > 0.f) {
         xa = x0;
         fa = fx;
      } else {
         xb = x0;
         fb = fx;
      }
   L3:
      u1 = f1 - f2;
      u2 = x1 - x2;
      u3 = f2 - fx;
      u4 = x2 - x0;
      if (u2 == 0.f || u4 == 0.f) {goto L1;}
      f3 = fx;
      x3 = x0;
      u1 /= u2;
      u2 = u3 / u4;
      ca = u1 - u2;
      cb = (x1 + x2) * u2 - (x2 + x0) * u1;
      cc = (x1 - x0) * f1 - x1 * (ca * x1 + cb);
      if (ca == 0.f) {
         if (cb == 0.f) {goto L1;}
         x0 = -cc / cb;
      } else {
         u3 = cb / (ca * 2.f);
         u4 = u3 * u3 - cc / ca;
         if (u4 < 0.f) {goto L1;}
         su4 = std::abs(u4);
         if (x0 + u3 < 0.f) {su4 = -su4;}
         x0 = -u3 + su4;
      }
      if (x0 < xa || x0 > xb) {goto L1;}
      // Computing MIN
      d__3 = (d__1 = x0 - x3, std::abs(d__1));
      d__4 = (d__2 = x0 - x2, std::abs(d__2));
      rv = std::min(d__3,d__4);
      ee = eps * (std::abs(x0) + 1);
      if (rv > ee) {
         f1 = f2;
         x1 = x2;
         f2 = f3;
         x2 = x3;
         goto L2;
      }
      fx = func(x0);
      if (fx == 0.f) {
         rv = ee;
         ff = func(x0);
         return 0;
      }
      if (fx * fa < 0.f) {
         xx = x0 - ee;
         if (xx <= xa) {
            rv = ee;
            ff = func(x0);
            return 0;
         }
         ff = func(xx);
         fb = ff;
         xb = xx;
      } else {
         xx = x0 + ee;
         if (xx >= xb) {
            rv = ee;
            ff = func(x0);
            return 0;
         }
         ff = func(xx);
         fa = ff;
         xa = xx;
      }
      if (fx * ff > 0.f) {
         mc += 2;
         if (mc > mxf) {
            rv = (d__1 = xb - xa, std::abs(d__1)) * -0.5f;
            x0 = 0.f;
            return 0;
         }
         f1 = f3;
         x1 = x3;
         f2 = fx;
         x2 = x0;
         x0 = xx;
         fx = ff;
         goto L3;
      }
      /* L4: */
      rv = ee;
      ff = func(x0);
      return 0;
   } // dzero

float VVIObjFDetails::expint

(

float

x

)

Private version of the cosine and sine integral.

Definition at line 198 of file VVIObjF.cc.

References myMath::fast_expf(), myMath::fast_logf(), p1, p2, p3, p4, q1, q2, findQualityFiles::v, x, and y.

Referenced by VVIObjF::VVIObjF().

                         {
      
      // Initialized data
      
      const float zero = 0.;
      const float q2[7] = { .10340013040487,3.319092135933,
         20.449478501379,41.280784189142,32.426421069514,10.041164382905,
         1. };
      const float p3[6] = { -2.3909964453136,-147.98219500504,
         -254.3763397689,-119.55761038372,-19.630408535939,-.9999999999036
      };
      const float q3[6] = { 177.60070940351,530.68509610812,
         462.23027156148,156.81843364539,21.630408494238,1. };
      const float p4[8] = { -8.6693733995107,-549.14226552109,
         -4210.0161535707,-249301.39345865,-119623.66934925,
         -22174462.775885,3892804.213112,-391546073.8091 };
      const float q4[8] = { 34.171875,-1607.0892658722,35730.029805851,
         -483547.43616216,4285596.2461175,-24903337.574054,89192576.757561,
         -165254299.72521 };
      const float a1[8] = { -2.1808638152072,-21.901023385488,
         9.3081638566217,25.076281129356,-33.184253199722,60.121799083008,
         -43.253113287813,1.0044310922808 };
      const float b1[8] = { 0.,3.9370770185272,300.89264837292,
         -6.2504116167188,1003.6743951673,14.325673812194,2736.2411988933,
         .52746885196291 };
      const float a2[8] = { -3.4833465360285,-18.65454548834,
         -8.2856199414064,-32.34673303054,17.960168876925,1.7565631546961,
         -1.9502232128966,.99999429607471 };
      const float b2[8] = { 0.,69.500065588743,57.283719383732,
         25.777638423844,760.76114800773,28.951672792514,-3.4394226689987,
         1.0008386740264 };
      const float a3[6] = { -27.780928934438,-10.10479081576,
         -9.1483008216736,-5.0223317461851,-3.0000077799358,
         1.0000000000704 };
      const float one = 1.;
      const float b3[6] = { 0.,122.39993926823,2.7276100778779,
         -7.1897518395045,-2.9990118065262,1.999999942826 };
      const float two = 2.;
      const float three = 3.;
      const float x0 = .37250741078137;
      const float xl[6] = { -24.,-12.,-6.,0.,1.,4. };
      const float p1[5] = { 4.293125234321,39.894153870321,
         292.52518866921,425.69682638592,-434.98143832952 };
      const float q1[5] = { 1.,18.899288395003,150.95038744251,
         568.05252718987,753.58564359843 };
      const float p2[7] = { .43096783946939,6.9052252278444,
         23.019255939133,24.378408879132,9.0416155694633,.99997957705159,
         4.656271079751e-7 };
      
      // Local variables
      float v, y, ap, bp, aq, dp, bq, dq;
      
      if (x <= xl[0]) {
         ap = a3[0] - x;
         for ( int i__ = 2; i__ <= 5; ++i__) {
            ap = a3[i__ - 1] - x + b3[i__ - 1] / ap;
         }
         y = vdt::fast_expf(-x) / x * (one - (a3[5] + b3[5] / ap) / x);
      } else if (x <= xl[1]) {
         ap = a2[0] - x;
         for ( int i__ = 2; i__ <= 7; ++i__) {
            ap = a2[i__ - 1] - x + b2[i__ - 1] / ap;
         }
         y = vdt::fast_expf(-x) / x * (a2[7] + b2[7] / ap);
      } else if (x <= xl[2]) {
         ap = a1[0] - x;
         for ( int i__ = 2; i__ <= 7; ++i__) {
            ap = a1[i__ - 1] - x + b1[i__ - 1] / ap;
         }
         y = vdt::fast_expf(-x) / x * (a1[7] + b1[7] / ap);
      } else if (x < xl[3]) {
         v = -two * (x / three + one);
         bp = zero;
         dp = p4[0];
         for ( int i__ = 2; i__ <= 8; ++i__) {
            ap = bp;
            bp = dp;
            dp = p4[i__ - 1] - ap + v * bp;
         }
         bq = zero;
         dq = q4[0];
         for ( int i__ = 2; i__ <= 8; ++i__) {
            aq = bq;
            bq = dq;
            dq = q4[i__ - 1] - aq + v * bq;
         }
         y = -vdt::fast_logf(-x / x0) + (x + x0) * (dp - ap) / (dq - aq);
      } else if (x == xl[3]) {
         return zero;
      } else if (x < xl[4]) {
         ap = p1[0];
         aq = q1[0];
         for ( int i__ = 2; i__ <= 5; ++i__) {
            ap = p1[i__ - 1] + x * ap;
            aq = q1[i__ - 1] + x * aq;
         }
         y = -vdt::fast_logf(x) + ap / aq;
      } else if (x <= xl[5]) {
         y = one / x;
         ap = p2[0];
         aq = q2[0];
         for ( int i__ = 2; i__ <= 7; ++i__) {
            ap = p2[i__ - 1] + y * ap;
            aq = q2[i__ - 1] + y * aq;
         }
         y = vdt::fast_expf(-x) * ap / aq;
      } else {
         y = one / x;
         ap = p3[0];
         aq = q3[0];
         for ( int i__ = 2; i__ <= 6; ++i__) {
            ap = p3[i__ - 1] + y * ap;
            aq = q3[i__ - 1] + y * aq;
         }
         y = vdt::fast_expf(-x) * y * (one + y * ap / aq);
      }
      return y;
   } // expint

void VVIObjFDetails::sincosint	(	float	x,
		float &	sint,
		float &	cint
	)

Definition at line 193 of file VVIObjF.cc.

References sicif().

Referenced by VVIObjF::VVIObjF().

                                                       {
      sicif(x,sint,cint);
   }