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Functions
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

◆ dzero()

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.

348  {
349  /* System generated locals */
350  float d__1, d__2, d__3, d__4;
351 
352  // Local variables
353  float f1, f2, f3, u1, u2, x1, x2, u3, u4, x3, ca, cb, cc, fa, fb, ee, ff;
354  int mc;
355  float xa, xb, fx, xx, su4;
356 
357  xa = std::min(a, b);
358  xb = std::max(a, b);
359  fa = func(xa);
360  fb = func(xb);
361  if (fa * fb > 0.f) {
362  rv = (xb - xa) * -2.f;
363  x0 = 0.f;
364  return 1;
365  }
366  mc = 0;
367  L1:
368  x0 = (xa + xb) * 0.5f;
369  rv = x0 - xa;
370  ee = eps * (std::abs(x0) + 1.f);
371  if (rv <= ee) {
372  rv = ee;
373  ff = func(x0);
374  return 0;
375  }
376  f1 = fa;
377  x1 = xa;
378  f2 = fb;
379  x2 = xb;
380  L2:
381  fx = func(x0);
382  ++mc;
383  if (mc > mxf) {
384  rv = (d__1 = xb - xa, fabs(d__1)) * -0.5f;
385  x0 = 0.;
386  return 0;
387  }
388  if (fx * fa > 0.f) {
389  xa = x0;
390  fa = fx;
391  } else {
392  xb = x0;
393  fb = fx;
394  }
395  L3:
396  u1 = f1 - f2;
397  u2 = x1 - x2;
398  u3 = f2 - fx;
399  u4 = x2 - x0;
400  if (u2 == 0.f || u4 == 0.f) {
401  goto L1;
402  }
403  f3 = fx;
404  x3 = x0;
405  u1 /= u2;
406  u2 = u3 / u4;
407  ca = u1 - u2;
408  cb = (x1 + x2) * u2 - (x2 + x0) * u1;
409  cc = (x1 - x0) * f1 - x1 * (ca * x1 + cb);
410  if (ca == 0.f) {
411  if (cb == 0.f) {
412  goto L1;
413  }
414  x0 = -cc / cb;
415  } else {
416  u3 = cb / (ca * 2.f);
417  u4 = u3 * u3 - cc / ca;
418  if (u4 < 0.f) {
419  goto L1;
420  }
421  su4 = std::abs(u4);
422  if (x0 + u3 < 0.f) {
423  su4 = -su4;
424  }
425  x0 = -u3 + su4;
426  }
427  if (x0 < xa || x0 > xb) {
428  goto L1;
429  }
430  // Computing MIN
431  d__3 = (d__1 = x0 - x3, std::abs(d__1));
432  d__4 = (d__2 = x0 - x2, std::abs(d__2));
433  rv = std::min(d__3, d__4);
434  ee = eps * (std::abs(x0) + 1);
435  if (rv > ee) {
436  f1 = f2;
437  x1 = x2;
438  f2 = f3;
439  x2 = x3;
440  goto L2;
441  }
442  fx = func(x0);
443  if (fx == 0.f) {
444  rv = ee;
445  ff = func(x0);
446  return 0;
447  }
448  if (fx * fa < 0.f) {
449  xx = x0 - ee;
450  if (xx <= xa) {
451  rv = ee;
452  ff = func(x0);
453  return 0;
454  }
455  ff = func(xx);
456  fb = ff;
457  xb = xx;
458  } else {
459  xx = x0 + ee;
460  if (xx >= xb) {
461  rv = ee;
462  ff = func(x0);
463  return 0;
464  }
465  ff = func(xx);
466  fa = ff;
467  xa = xx;
468  }
469  if (fx * ff > 0.f) {
470  mc += 2;
471  if (mc > mxf) {
472  rv = (d__1 = xb - xa, std::abs(d__1)) * -0.5f;
473  x0 = 0.f;
474  return 0;
475  }
476  f1 = f3;
477  x1 = x3;
478  f2 = fx;
479  x2 = x0;
480  x0 = xx;
481  fx = ff;
482  goto L3;
483  }
484  /* L4: */
485  rv = ee;
486  ff = func(x0);
487  return 0;
488  } // dzero

References a, funct::abs(), b, gpuVertexFinder::eps, f, DeadROC_duringRun::f1, DeadROC_duringRun::f2, benchmark_cfg::fa, benchmark_cfg::fb, alignCSCRings::ff, TrackCollections2monitor_cff::func, multPhiCorr_741_25nsDY_cfi::fx, PixelRegions::L1, PixelRegions::L2, PixelRegions::L3, SiStripPI::max, CaloTowersParam_cfi::mc, min(), testProducerWithPsetDescEmpty_cfi::u1, MetAnalyzer::u2, testProducerWithPsetDescEmpty_cfi::u3, testProducerWithPsetDescEmpty_cfi::x1, testProducerWithPsetDescEmpty_cfi::x2, and geometryCSVtoXML::xx.

Referenced by VVIObjF::VVIObjF().

◆ expint()

float VVIObjFDetails::expint ( float  x)

Private version of the cosine and sine integral.

Definition at line 202 of file VVIObjF.cc.

202  {
203  // Initialized data
204 
205  const float zero = 0.;
206  const float q2[7] = {
207  .10340013040487, 3.319092135933, 20.449478501379, 41.280784189142, 32.426421069514, 10.041164382905, 1.};
208  const float p3[6] = {
209  -2.3909964453136, -147.98219500504, -254.3763397689, -119.55761038372, -19.630408535939, -.9999999999036};
210  const float q3[6] = {177.60070940351, 530.68509610812, 462.23027156148, 156.81843364539, 21.630408494238, 1.};
211  const float p4[8] = {-8.6693733995107,
212  -549.14226552109,
213  -4210.0161535707,
214  -249301.39345865,
215  -119623.66934925,
216  -22174462.775885,
217  3892804.213112,
218  -391546073.8091};
219  const float q4[8] = {34.171875,
220  -1607.0892658722,
221  35730.029805851,
222  -483547.43616216,
223  4285596.2461175,
224  -24903337.574054,
225  89192576.757561,
226  -165254299.72521};
227  const float a1[8] = {-2.1808638152072,
228  -21.901023385488,
229  9.3081638566217,
230  25.076281129356,
231  -33.184253199722,
232  60.121799083008,
233  -43.253113287813,
234  1.0044310922808};
235  const float b1[8] = {0.,
236  3.9370770185272,
237  300.89264837292,
238  -6.2504116167188,
239  1003.6743951673,
240  14.325673812194,
241  2736.2411988933,
242  .52746885196291};
243  const float a2[8] = {-3.4833465360285,
244  -18.65454548834,
245  -8.2856199414064,
246  -32.34673303054,
247  17.960168876925,
248  1.7565631546961,
249  -1.9502232128966,
250  .99999429607471};
251  const float b2[8] = {0.,
252  69.500065588743,
253  57.283719383732,
254  25.777638423844,
255  760.76114800773,
256  28.951672792514,
257  -3.4394226689987,
258  1.0008386740264};
259  const float a3[6] = {
260  -27.780928934438, -10.10479081576, -9.1483008216736, -5.0223317461851, -3.0000077799358, 1.0000000000704};
261  const float one = 1.;
262  const float b3[6] = {0., 122.39993926823, 2.7276100778779, -7.1897518395045, -2.9990118065262, 1.999999942826};
263  const float two = 2.;
264  const float three = 3.;
265  const float x0 = .37250741078137;
266  const float xl[6] = {-24., -12., -6., 0., 1., 4.};
267  const float p1[5] = {4.293125234321, 39.894153870321, 292.52518866921, 425.69682638592, -434.98143832952};
268  const float q1[5] = {1., 18.899288395003, 150.95038744251, 568.05252718987, 753.58564359843};
269  const float p2[7] = {.43096783946939,
270  6.9052252278444,
271  23.019255939133,
272  24.378408879132,
273  9.0416155694633,
274  .99997957705159,
275  4.656271079751e-7};
276 
277  // Local variables
278  float v, y, ap, bp, aq, dp, bq, dq;
279 
280  if (x <= xl[0]) {
281  ap = a3[0] - x;
282  for (int i__ = 2; i__ <= 5; ++i__) {
283  ap = a3[i__ - 1] - x + b3[i__ - 1] / ap;
284  }
285  y = vdt::fast_expf(-x) / x * (one - (a3[5] + b3[5] / ap) / x);
286  } else if (x <= xl[1]) {
287  ap = a2[0] - x;
288  for (int i__ = 2; i__ <= 7; ++i__) {
289  ap = a2[i__ - 1] - x + b2[i__ - 1] / ap;
290  }
291  y = vdt::fast_expf(-x) / x * (a2[7] + b2[7] / ap);
292  } else if (x <= xl[2]) {
293  ap = a1[0] - x;
294  for (int i__ = 2; i__ <= 7; ++i__) {
295  ap = a1[i__ - 1] - x + b1[i__ - 1] / ap;
296  }
297  y = vdt::fast_expf(-x) / x * (a1[7] + b1[7] / ap);
298  } else if (x < xl[3]) {
299  v = -two * (x / three + one);
300  bp = zero;
301  dp = p4[0];
302  for (int i__ = 2; i__ <= 8; ++i__) {
303  ap = bp;
304  bp = dp;
305  dp = p4[i__ - 1] - ap + v * bp;
306  }
307  bq = zero;
308  dq = q4[0];
309  for (int i__ = 2; i__ <= 8; ++i__) {
310  aq = bq;
311  bq = dq;
312  dq = q4[i__ - 1] - aq + v * bq;
313  }
314  y = -vdt::fast_logf(-x / x0) + (x + x0) * (dp - ap) / (dq - aq);
315  } else if (x == xl[3]) {
316  return zero;
317  } else if (x < xl[4]) {
318  ap = p1[0];
319  aq = q1[0];
320  for (int i__ = 2; i__ <= 5; ++i__) {
321  ap = p1[i__ - 1] + x * ap;
322  aq = q1[i__ - 1] + x * aq;
323  }
324  y = -vdt::fast_logf(x) + ap / aq;
325  } else if (x <= xl[5]) {
326  y = one / x;
327  ap = p2[0];
328  aq = q2[0];
329  for (int i__ = 2; i__ <= 7; ++i__) {
330  ap = p2[i__ - 1] + y * ap;
331  aq = q2[i__ - 1] + y * aq;
332  }
333  y = vdt::fast_expf(-x) * ap / aq;
334  } else {
335  y = one / x;
336  ap = p3[0];
337  aq = q3[0];
338  for (int i__ = 2; i__ <= 6; ++i__) {
339  ap = p3[i__ - 1] + y * ap;
340  aq = q3[i__ - 1] + y * aq;
341  }
342  y = vdt::fast_expf(-x) * y * (one + y * ap / aq);
343  }
344  return y;
345  } // expint

References testProducerWithPsetDescEmpty_cfi::a2, b1, b2, testProducerWithPsetDescEmpty_cfi::b3, Calorimetry_cff::dp, myMath::fast_expf(), myMath::fast_logf(), SiPixelPI::one, p1, p2, p3, p4, q1, q2, SiPixelPI::two, findQualityFiles::v, and SiPixelPI::zero.

Referenced by VVIObjF::VVIObjF().

◆ sincosint()

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

Definition at line 200 of file VVIObjF.cc.

200 { sicif(x, sint, cint); }

References sicif().

Referenced by VVIObjF::VVIObjF().

PixelRegions::L3
Definition: PixelRegionContainers.h:32
PixelRegions::L1
Definition: PixelRegionContainers.h:32
PixelRegions::L2
Definition: PixelRegionContainers.h:32
SiPixelPI::one
Definition: SiPixelPayloadInspectorHelper.h:39
f
double f[11][100]
Definition: MuScleFitUtils.cc:78
CaloTowersParam_cfi.mc
mc
Definition: CaloTowersParam_cfi.py:8
min
T min(T a, T b)
Definition: MathUtil.h:58
multPhiCorr_741_25nsDY_cfi.fx
fx
Definition: multPhiCorr_741_25nsDY_cfi.py:9
testProducerWithPsetDescEmpty_cfi.x2
x2
Definition: testProducerWithPsetDescEmpty_cfi.py:28
gpuVertexFinder::eps
WorkSpace int float eps
Definition: gpuClusterTracksDBSCAN.h:18
SiPixelPI::zero
Definition: SiPixelPayloadInspectorHelper.h:39
findQualityFiles.v
v
Definition: findQualityFiles.py:179
b2
static constexpr float b2
Definition: L1EGammaCrystalsEmulatorProducer.cc:83
testProducerWithPsetDescEmpty_cfi.a2
a2
Definition: testProducerWithPsetDescEmpty_cfi.py:35
b1
static constexpr float b1
Definition: L1EGammaCrystalsEmulatorProducer.cc:83
testProducerWithPsetDescEmpty_cfi.x1
x1
Definition: testProducerWithPsetDescEmpty_cfi.py:33
myMath::fast_expf
float fast_expf(float x)
Definition: EcalUncalibRecHitRatioMethodAlgo.h:27
Calorimetry_cff.dp
dp
Definition: Calorimetry_cff.py:158
alignCSCRings.ff
ff
Definition: alignCSCRings.py:148
myMath::fast_logf
float fast_logf(float x)
Definition: EcalUncalibRecHitRatioMethodAlgo.h:28
p2
double p2[4]
Definition: TauolaWrapper.h:90
b
double b
Definition: hdecay.h:118
q2
double q2[4]
Definition: TauolaWrapper.h:88
q1
double q1[4]
Definition: TauolaWrapper.h:87
a
double a
Definition: hdecay.h:119
SiStripPI::max
Definition: SiStripPayloadInspectorHelper.h:169
DeadROC_duringRun.f2
f2
Definition: DeadROC_duringRun.py:220
testProducerWithPsetDescEmpty_cfi.u3
u3
Definition: testProducerWithPsetDescEmpty_cfi.py:50
testProducerWithPsetDescEmpty_cfi.u1
u1
Definition: testProducerWithPsetDescEmpty_cfi.py:49
p4
double p4[4]
Definition: TauolaWrapper.h:92
p1
double p1[4]
Definition: TauolaWrapper.h:89
TrackCollections2monitor_cff.func
func
Definition: TrackCollections2monitor_cff.py:359
cc
sicif
int sicif(float xx, float &si, float &ci)
Definition: sicif.h:219
SiPixelPI::two
Definition: SiPixelPayloadInspectorHelper.h:39
testProducerWithPsetDescEmpty_cfi.b3
b3
Definition: testProducerWithPsetDescEmpty_cfi.py:36
genVertex_cff.x
x
Definition: genVertex_cff.py:12
detailsBasic3DVector::y
float float y
Definition: extBasic3DVector.h:14
p3
double p3[4]
Definition: TauolaWrapper.h:91
benchmark_cfg.fa
fa
Definition: benchmark_cfg.py:13
funct::abs
Abs< T >::type abs(const T &t)
Definition: Abs.h:22
MetAnalyzer.u2
u2
Definition: MetAnalyzer.py:61
DeadROC_duringRun.f1
f1
Definition: DeadROC_duringRun.py:219
benchmark_cfg.fb
fb
Definition: benchmark_cfg.py:14
geometryCSVtoXML.xx
xx
Definition: geometryCSVtoXML.py:19