16#ifndef ALICEO2_COMMON_MATH_UTILS_
17#define ALICEO2_COMMON_MATH_UTILS_
32 return detail::to02Pi<float>(phi);
35GPUdi() double to02Pid(
double phi)
37 return detail::to02Pi<double>(phi);
42 detail::bringTo02Pi<float>(phi);
47 detail::bringTo02Pi<double>(phi);
52 return detail::toPMPiGen<float>(phi);
57 return detail::toPMPiGen<double>(phi);
62 detail::bringToPMPiGen<float>(phi);
67 detail::bringToPMPiGen<double>(phi);
72 return detail::to02PiGen<float>(phi);
77 return detail::to02PiGen<double>(phi);
82 detail::bringTo02PiGen<float>(phi);
87 detail::bringTo02PiGen<double>(phi);
92 return detail::toPMPi<float>(phi);
97 return detail::toPMPi<double>(phi);
102 return detail::bringToPMPi<float>(phi);
107 return detail::bringToPMPi<double>(phi);
112 detail::sincos<float>(ang,
s,
c);
114#if !defined(__OPENCL__) && !defined(__METAL__)
115GPUdi()
void sincosd(
double ang,
double&
s,
double&
c)
117 detail::sincos<double>(ang,
s,
c);
141#ifndef GPUCA_GPUCODE_DEVICE
152GPUdi()
std::tuple<
float,
float> sincos(
float ang)
154 return detail::sincos<float>(ang);
157GPUdi()
std::tuple<
double,
double> sincosd(
double ang)
159 return detail::sincos<double>(ang);
174 detail::rotateZ<float>(xy,
alpha);
179 detail::rotateZ<double>(xy,
alpha);
185 return detail::angle2Sector<float>(phi);
190 return detail::angle2Sector<double>(phi);
195 return detail::sector2Angle<float>(sect);
200 return detail::sector2Angle<double>(sect);
205 return detail::angle2Alpha<float>(phi);
210 return detail::angle2Alpha<double>(phi);
213GPUhdi() constexpr
float fastATan2(
float y,
float x)
215 return detail::fastATan2<float>(
y,
x);
218GPUhdi() constexpr
double fastATan2d(
double y,
double x)
220 return detail::fastATan2<double>(
y,
x);
226 return detail::min<T>(
x,
y);
229GPUhdi() double mind(const
double x, const
double y)
231 return detail::min<double>(
x,
y);
237 return detail::max<T>(
x,
y);
240GPUhdi() double maxd(const
double x, const
double y)
242 return detail::max<double>(
x,
y);
247 return detail::sqrt<float>(
x);
252 return detail::sqrt<double>(
x);
257 return detail::abs<float>(
x);
262 return detail::abs<double>(
x);
267 return detail::asin<float>(
x);
270GPUdi() double asind(
double x)
272 return detail::asin<double>(
x);
277 return detail::atan<float>(
x);
280GPUdi() double atand(
double x)
282 return detail::atan<double>(
x);
287 return detail::atan2<float>(
y,
x);
290GPUdi() double atan2d(
double y,
double x)
292 return detail::atan2<double>(
y,
x);
297 return detail::sin<float>(
x);
300GPUdi() double sind(
double x)
302 return detail::sin<double>(
x);
307 return detail::cos<float>(
x);
310GPUdi() double cosd(
double x)
312 return detail::cos<double>(
x);
317 return detail::tan<float>(
x);
320GPUdi() double tand(
double x)
322 return detail::tan<double>(
x);
327 return detail::twoPi<float>();
330GPUdi() double twoPid()
332 return detail::twoPi<double>();
337 return detail::pi<float>();
342 return detail::pi<double>();
347 return detail::nint<float>(
x);
350GPUdi() int nintd(
double x)
352 return detail::nint<double>(
x);
357 return detail::finite<float>(
x);
362 return detail::finite<double>(
x);
365GPUdi() unsigned
int clz(
unsigned int val)
367 return detail::clz(
val);
370GPUdi() unsigned
int popcount(
unsigned int val)
372 return detail::popcount(
val);
377 return detail::log<float>(
x);
380GPUdi() double logd(
double x)
382 return detail::log<double>(
x);
385using detail::StatAccumulator;
389using detail::truncateFloatFraction;
configStandalone Reconstruction rec_tpc multiplier for the combined cluster track error during track following area in cm for the search of for z only used if decrease removal by when above this local occupancy rowx Shift of TPC revert cluster flag edge bit distance to edge exceeds this ZOffset for secondary multiple of radius max P of electron K BB bands crossing max P of electron p BB bands crossing max P of electron d BB bands crossing max P of electron t BB bands crossing min accepted dEdxMaxTPC of the track Additive extra cluster error for Y2 if edge flag set Additive extra cluster error for Y2 if single set Additive extra cluster error for Y2 if or single set Additive extra cluster error for Z2 if or single set Extra errors to add to track when crossing depending on addErrorsCECrossing Inner portion of y range in sector that is not used in searching for extrapolated track candidates factor2YS for track merging factor2K for track merging Margin in cm of Y position when rejecting edge clusters based on uncorrected track Y Max fraction of shared clusters for tracklet Except pad from cluster finding if total number of charges in a fragment is above this Except pad from cluster finding if number of consecutive charges in a fragment is above this Threshold where a timebin is considered disabling the noisy pad check for that pad Treat signal above this minimum as saturated Smoothing factor for the exponential Highly Ionising Particle tail filter Number of timebins to use for the averaging Add additional custom track errors when crossing relative as fraction of Do N fit passes in final fit of< 0:reject at max -n hits") AddOptionRTC(rejectIFCLowRadiusCluster, uint8_t, 1, "", 0, "Reject clusters that get the IFC mask error during refit") AddOptionRTC(dEdxTruncLow, uint8_t, 2, "", 0, "Low truncation threshold, fraction of 128") AddOptionRTC(dEdxTruncHigh, uint8_t, 77, "", 0, "High truncation threshold, fraction of 128") AddOptionRTC(extrapolationTracking, int8_t, 1, "", 0, "Enable Extrapolation Tracking(prolong tracks to adjacent sectors to find short segments)") AddOptionRTC(disableRefitAttachment, uint8_t, 0, "", 0, "Bitmask to disable certain attachment steps during refit(1:attachment, 2:propagation, 4:loop following, 8:mirroring)") AddOptionRTC(rejectionStrategy, uint8_t, o2::gpu::GPUSettings::RejectionStrategyA, "", 0, "Enable rejection of TPC clusters for compression(0=no, 1=strategy A, 2=strategy B)") AddOptionRTC(mergeLoopersAfterburner, uint8_t, 1, "", 0, "Run afterburner for additional looper merging") AddOptionRTC(compressionTypeMask, uint8_t, o2::gpu::GPUSettings::CompressionFull, "", 0, "TPC Compression mode bits(1=truncate charge/width LSB, 2=differences, 4=track-model)") AddOptionRTC(compressionSortOrder, uint8_t, o2::gpu::GPUSettings::SortTime, "", 0, "Sort order of TPC compression(0=time, 1=pad, 2=Z-time-pad, 3=Z-pad-time, 4=no sorting(use incoming order))") AddOptionRTC(sigBitsCharge, uint8_t, 4, "", 0, "Number of significant bits for TPC cluster charge in compression mode 1") AddOptionRTC(sigBitsWidth, uint8_t, 3, "", 0, "Number of significant bits for TPC cluster width in compression mode 1") AddOptionRTC(dropLoopers, uint8_t, 0, "", 0, "Drop looping tracks starting from second loop") AddOptionRTC(mergerInterpolateErrors, uint8_t, 1, "", 0, "Use interpolation instead of extrapolation for chi2 based cluster rejection") AddOptionRTC(mergerInterpolateRejectAlsoOnCurrentPosition, uint8_t, 1, "", 0, "When using mergerInterpolateErrors, reject based on chi2 twice computed with interpolated and current track position starting from NDF > mergerNonInterpolateRejectMinNDF Merge tracks accross the central electrode Enable PID response Add sub threshold clusters in TPC dEdx computation OR mask of TPC flags that will reject the cluster in alternative dEdx Reject edge clusters based on uncorrected track Y during track fit Increase decrease removal by when on this number of pads from the edge h configStandalone Reconstruction rec_trd Max chi2 for TRD tracklets to be matched to a track Chi2 cut for strict matching mode Number of sigmas for ITS TPC track time error estimate Addition to search road around track prolongation along Y in cm Optimal tracklet rphi resolution in maximum chi2 per attached tracklet for TRD tracks take into account the full likelihood of the slope including exponential tails Tracks with less attached tracklets are discarded after the tracking Post trigger Pile up integration time in BCs fits all iterations but the last one in projections Use material lookup table for TPC refit Apply workarounds to avoid cyclic merge should not be needed tpc dyn configStandalone Processing proc_rtc bool
configStandalone Reconstruction rec_tpc multiplier for the combined cluster track error during track following area in cm for the search of for z only used if decrease removal by when above this local occupancy rowx Shift of TPC revert cluster flag edge bit distance to edge exceeds this ZOffset for secondary multiple of radius max P of electron K BB bands crossing max P of electron p BB bands crossing max P of electron d BB bands crossing max P of electron t BB bands crossing min accepted dEdxMaxTPC of the track Additive extra cluster error for Y2 if edge flag set Additive extra cluster error for Y2 if single set Additive extra cluster error for Y2 if or single set Additive extra cluster error for Z2 if or single set Extra errors to add to track when crossing depending on addErrorsCECrossing Inner portion of y range in sector that is not used in searching for extrapolated track candidates factor2YS for track merging factor2K for track merging Margin in cm of Y position when rejecting edge clusters based on uncorrected track Y Max fraction of shared clusters for tracklet Except pad from cluster finding if total number of charges in a fragment is above this Except pad from cluster finding if number of consecutive charges in a fragment is above this Threshold where a timebin is considered disabling the noisy pad check for that pad Treat signal above this minimum as saturated Smoothing factor for the exponential Highly Ionising Particle tail filter Number of timebins to use for the averaging Add additional custom track errors when crossing relative as fraction of Do N fit passes in final fit of< 0:reject at max -n hits") AddOptionRTC(rejectIFCLowRadiusCluster, uint8_t, 1, "", 0, "Reject clusters that get the IFC mask error during refit") AddOptionRTC(dEdxTruncLow, uint8_t, 2, "", 0, "Low truncation threshold, fraction of 128") AddOptionRTC(dEdxTruncHigh, uint8_t, 77, "", 0, "High truncation threshold, fraction of 128") AddOptionRTC(extrapolationTracking, int8_t, 1, "", 0, "Enable Extrapolation Tracking(prolong tracks to adjacent sectors to find short segments)") AddOptionRTC(disableRefitAttachment, uint8_t, 0, "", 0, "Bitmask to disable certain attachment steps during refit(1:attachment, 2:propagation, 4:loop following, 8:mirroring)") AddOptionRTC(rejectionStrategy, uint8_t, o2::gpu::GPUSettings::RejectionStrategyA, "", 0, "Enable rejection of TPC clusters for compression(0=no, 1=strategy A, 2=strategy B)") AddOptionRTC(mergeLoopersAfterburner, uint8_t, 1, "", 0, "Run afterburner for additional looper merging") AddOptionRTC(compressionTypeMask, uint8_t, o2::gpu::GPUSettings::CompressionFull, "", 0, "TPC Compression mode bits(1=truncate charge/width LSB, 2=differences, 4=track-model)") AddOptionRTC(compressionSortOrder, uint8_t, o2::gpu::GPUSettings::SortTime, "", 0, "Sort order of TPC compression(0=time, 1=pad, 2=Z-time-pad, 3=Z-pad-time, 4=no sorting(use incoming order))") AddOptionRTC(sigBitsCharge, uint8_t, 4, "", 0, "Number of significant bits for TPC cluster charge in compression mode 1") AddOptionRTC(sigBitsWidth, uint8_t, 3, "", 0, "Number of significant bits for TPC cluster width in compression mode 1") AddOptionRTC(dropLoopers, uint8_t, 0, "", 0, "Drop looping tracks starting from second loop") AddOptionRTC(mergerInterpolateErrors, uint8_t, 1, "", 0, "Use interpolation instead of extrapolation for chi2 based cluster rejection") AddOptionRTC(mergerInterpolateRejectAlsoOnCurrentPosition, uint8_t, 1, "", 0, "When using mergerInterpolateErrors, reject based on chi2 twice computed with interpolated and current track position starting from NDF > mergerNonInterpolateRejectMinNDF Merge tracks accross the central electrode Enable PID response Add sub threshold clusters in TPC dEdx computation OR mask of TPC flags that will reject the cluster in alternative dEdx Reject edge clusters based on uncorrected track Y during track fit Increase decrease removal by when on this number of pads from the edge h configStandalone Reconstruction rec_trd Max chi2 for TRD tracklets to be matched to a track Chi2 cut for strict matching mode Number of sigmas for ITS TPC track time error estimate Addition to search road around track prolongation along Y in cm Optimal tracklet rphi resolution in tan(phi) dependence of tracklet error due to radial misalignment(centered at 0 angle)") AddOptionRTC(maxChi2Red
configStandalone Reconstruction rec_tpc float
GLfloat GLfloat GLfloat alpha
typedef void(APIENTRYP PFNGLCULLFACEPROC)(GLenum mode)
int numberOfBitsSet(uint32_t x)
constexpr uint32_t bit2Mask(T v)
void bringToPMPiGen(float &phi)
double angle2Alphad(double phi)
GPUdi() float to02Pi(float phi)
std::tuple< double, double > rotateZd(double xL, double yL, double snAlp, double csAlp)
std::tuple< double, double > rotateZInvd(double xG, double yG, double snAlp, double csAlp)
float float float float snAlp
void bringTo02PiGend(double &phi)
float float float float float csAlp
float angle2Alpha(float phi)
int angle2Sector(float phi)
void bringTo02PiGen(float &phi)
void bringToPMPid(double &phi)
double sector2Angled(int sect)
void bringToPMPiGend(double &phi)
float toPMPiGen(float phi)
float to02PiGen(float phi)
std::tuple< float, float > rotateZ(float xL, float yL, float snAlp, float csAlp)
std::tuple< float, float > rotateZInv(float xG, float yG, float snAlp, float csAlp)
double to02PiGend(double phi)
float sector2Angle(int sect)
double toPMPiGend(double phi)
double toPMPid(double phi)
void bringToPMPi(float &phi)
GPUhdi() const expr float fastATan2(float y
int angle2Sectord(double phi)
a couple of static helper functions to create timestamp values for CCDB queries or override obsolete ...