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 348 of file VVIObjF.cc.

References funct::abs(), validate-o2o-wbm::f, validate-o2o-wbm::f1, validate-o2o-wbm::f2, alignCSCRings::ff, cms::cuda::func, PixelRegions::L1, PixelRegions::L2, PixelRegions::L3, SiStripPI::max, min(), MetAnalyzer::u1, and MetAnalyzer::u2.

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 202 of file VVIObjF.cc.

References isotrackTrainRegressor::a1, isotrackTrainRegressor::a2, b1, b2, myMath::fast_expf(), myMath::fast_logf(), SiPixelPI::one, fireworks::p1, fireworks::p2, SiPixelPI::two, findQualityFiles::v, and SiPixelPI::zero.

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 200 of file VVIObjF.cc.

References sicif().

Referenced by VVIObjF::VVIObjF().

{ sicif(x, sint, cint); }