diff --git a/App/App.pro b/App/App.pro
index 75b2c9798f9f43f2448a7d6222d9bc3aac8b2be9..c116d1249f2a322c8f27d42637dc447c87dcec60 100644
--- a/App/App.pro
+++ b/App/App.pro
@@ -22,9 +22,10 @@ SOURCES += \
src/TestFresnelCoeff.cpp \
src/TestIsGISAXS1.cpp \
src/TestIsGISAXS3.cpp \
+ src/TestIsGISAXS9.cpp \
src/TestIsGISAXS10.cpp \
+ src/TestDetectorResolution.cpp \
src/TestRoughness.cpp \
- src/TestIsGISAXS9.cpp
HEADERS += \
inc/App.h \
@@ -42,9 +43,10 @@ HEADERS += \
inc/TestFresnelCoeff.h \
inc/TestIsGISAXS1.h \
inc/TestIsGISAXS3.h \
+ inc/TestIsGISAXS9.h \
inc/TestIsGISAXS10.h \
+ inc/TestDetectorResolution.h \
inc/TestRoughness.h \
- inc/TestIsGISAXS9.h
INCLUDEPATH += ./inc ../Core/Algorithms/inc ../Core/Samples/inc ../Core/Tools/inc
DEPENDPATH += ./inc ../Core/Algorithms/inc ../Core/Samples/inc ../Core/Tools/inc
diff --git a/App/inc/TestDetectorResolution.h b/App/inc/TestDetectorResolution.h
new file mode 100644
index 0000000000000000000000000000000000000000..fdbbf883d5b62b7036683da2c0b00fa47911b186
--- /dev/null
+++ b/App/inc/TestDetectorResolution.h
@@ -0,0 +1,41 @@
+#ifndef TESTDETECTORRESOLUTION_H_
+#define TESTDETECTORRESOLUTION_H_
+// ********************************************************************
+// * The BornAgain project *
+// * Simulation of neutron and x-ray scattering at grazing incidence *
+// * *
+// * LICENSE AND DISCLAIMER *
+// * Lorem ipsum dolor sit amet, consectetur adipiscing elit. Mauris *
+// * eget quam orci. Quisque porta varius dui, quis posuere nibh *
+// * mollis quis. Mauris commodo rhoncus porttitor. *
+// ********************************************************************
+//! @file TestDetectorResolution.h
+//! @brief Definition of TestDetectorResolution functional test class
+//! @author Scientific Computing Group at FRM II
+//! @date Jul 10, 2012
+
+#include "IFunctionalTest.h"
+#include "OutputData.h"
+#include "FormFactors.h"
+#include "DWBAFormFactor.h"
+#include "ISample.h"
+#include "InterferenceFunction1DParaCrystal.h"
+#include "InterferenceFunctionNone.h"
+
+
+class TestDetectorResolution : public IFunctionalTest
+{
+public:
+ TestDetectorResolution();
+ virtual ~TestDetectorResolution();
+ virtual void execute();
+
+private:
+ void initializeSample();
+ OutputData<double> *mp_intensity_output;
+ ISample *mp_sample;
+};
+
+double testResolutionFunction(double u, double v);
+
+#endif /* TESTDETECTORRESOLUTION_H_ */
diff --git a/App/inc/TestIsGISAXS1.h b/App/inc/TestIsGISAXS1.h
index b9f13e426b8b811a6c209818e0e9c6cda59ca624..dcbac637571d52e01e6827bc1b547cadf700d96f 100644
--- a/App/inc/TestIsGISAXS1.h
+++ b/App/inc/TestIsGISAXS1.h
@@ -28,8 +28,8 @@ public:
private:
void initializeSample();
- ISample *mp_sample;
OutputData<double> *mp_intensity_output;
+ ISample *mp_sample;
};
diff --git a/App/inc/TestIsGISAXS10.h b/App/inc/TestIsGISAXS10.h
index e0214b9fa0b814aebc7ed8772cfa5a350c7475c1..ff1bc830f0586dced0293e7fb163e0aa500011ef 100644
--- a/App/inc/TestIsGISAXS10.h
+++ b/App/inc/TestIsGISAXS10.h
@@ -33,8 +33,8 @@ public:
private:
void initializeSample();
void initializeSample2();
- ISample *mp_sample;
OutputData<double> *mp_intensity_output;
+ ISample *mp_sample;
};
#endif /* TESTISGISAXS10_H_ */
diff --git a/App/inc/TestIsGISAXS3.h b/App/inc/TestIsGISAXS3.h
index d5c98c32515913ca284571257093d5b48c0e3c0b..693f25be2fba73d061630e8505d6a6cd44943971 100644
--- a/App/inc/TestIsGISAXS3.h
+++ b/App/inc/TestIsGISAXS3.h
@@ -28,7 +28,7 @@ public:
private:
void initializeSample();
- ISample *mp_sample;
OutputData<double> *mp_intensity_output;
+ ISample *mp_sample;
};
#endif /* TESTISGISAXS3_H_ */
diff --git a/App/src/TestDetectorResolution.cpp b/App/src/TestDetectorResolution.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..212c12625215d078fe740a52325bbaabe3c33420
--- /dev/null
+++ b/App/src/TestDetectorResolution.cpp
@@ -0,0 +1,73 @@
+#include "TestDetectorResolution.h"
+
+#include "IsGISAXSTools.h"
+#include "Types.h"
+#include "Units.h"
+#include "GISASExperiment.h"
+#include "MultiLayer.h"
+#include "MaterialManager.h"
+#include "LayerDecorator.h"
+#include "NanoParticleDecoration.h"
+#include "MathFunctions.h"
+
+TestDetectorResolution::TestDetectorResolution()
+: mp_intensity_output(0)
+, mp_sample(0)
+{
+}
+
+TestDetectorResolution::~TestDetectorResolution()
+{
+ delete mp_intensity_output;
+ delete mp_sample;
+}
+
+void TestDetectorResolution::execute()
+{
+ if (mp_intensity_output) delete mp_intensity_output;
+ initializeSample();
+ GISASExperiment experiment;
+ experiment.setSample(mp_sample);
+ experiment.setDetectorParameters(0.0*Units::degree, 2.0*Units::degree, 100
+ , 0.0*Units::degree, 2.0*Units::degree, 100, true);
+ experiment.setDetectorResolutionFunction(&testResolutionFunction);
+ experiment.setBeamParameters(1.0*Units::angstrom, -0.2*Units::degree, 0.0*Units::degree);
+ experiment.runSimulation();
+ mp_intensity_output = experiment.getOutputData();
+ IsGISAXSTools::drawLogOutputData(*mp_intensity_output, "c1_test_detector_resolution", "Detector resolution",
+ "CONT4 Z");
+}
+
+double testResolutionFunction(double u, double v)
+{
+ double sigma_u = 0.001;
+ double sigma_v = 0.001;
+ double step_u = 0.02*Units::degree;
+ double step_v = 0.02*Units::degree;
+ return MathFunctions::IntegratedGaussian(u, 0.0, sigma_u, step_u)*MathFunctions::IntegratedGaussian(v, 0.0, sigma_v, step_v);
+}
+
+void TestDetectorResolution::initializeSample()
+{
+ delete mp_sample;
+ MultiLayer *p_multi_layer = new MultiLayer();
+ complex_t n_air(1.0, 0.0);
+ complex_t n_substrate(1.0-5e-6, 2e-8);
+ complex_t n_particle(1.0-5e-5, 2e-8);
+ const IMaterial *p_air_material = MaterialManager::instance().addHomogeneousMaterial("Air", n_air);
+ const IMaterial *p_substrate_material = MaterialManager::instance().addHomogeneousMaterial("Substrate", n_substrate);
+ Layer air_layer;
+ air_layer.setMaterial(p_air_material);
+ Layer substrate_layer;
+ substrate_layer.setMaterial(p_substrate_material);
+ IInterferenceFunction *p_interference_funtion = new InterferenceFunction1DParaCrystal(20.0*Units::nanometer,
+ 7*Units::nanometer, 1e7*Units::nanometer);
+ NanoParticleDecoration particle_decoration(
+ new NanoParticle(n_particle, new FormFactorCylinder(5*Units::nanometer, 5*Units::nanometer)));
+ particle_decoration.addInterferenceFunction(p_interference_funtion);
+ LayerDecorator air_layer_decorator(air_layer, particle_decoration);
+
+ p_multi_layer->addLayer(air_layer_decorator);
+ p_multi_layer->addLayer(substrate_layer);
+ mp_sample = p_multi_layer;
+}
diff --git a/App/src/TestFactory.cpp b/App/src/TestFactory.cpp
index 4e0f49acf971e13f3af9c6716de4a04a2a3197cf..3651ac9d2744da440001990155efe1701cecd97d 100644
--- a/App/src/TestFactory.cpp
+++ b/App/src/TestFactory.cpp
@@ -8,6 +8,7 @@
#include "TestIsGISAXS9.h"
#include "TestIsGISAXS10.h"
#include "TestConvolution.h"
+#include "TestDetectorResolution.h"
#include "TBenchmark.h"
@@ -26,6 +27,7 @@ TestFactory::TestFactory() : m_benchmark(0)
registerItem("isgisaxs9", IFactoryCreateFunction<TestIsGISAXS9, IFunctionalTest> );
registerItem("isgisaxs10", IFactoryCreateFunction<TestIsGISAXS10, IFunctionalTest> );
registerItem("convolution", IFactoryCreateFunction<TestConvolution, IFunctionalTest> );
+ registerItem("detectorresolution", IFactoryCreateFunction<TestDetectorResolution, IFunctionalTest> );
m_benchmark = new TBenchmark();
}
diff --git a/App/src/TestIsGISAXS1.cpp b/App/src/TestIsGISAXS1.cpp
index 32e6d239544c98a558fef9c64135c4f0fed67d3e..64b4929d9b4f13f025df9c66e8fb794bad45dcb5 100644
--- a/App/src/TestIsGISAXS1.cpp
+++ b/App/src/TestIsGISAXS1.cpp
@@ -20,6 +20,7 @@
TestIsGISAXS1::TestIsGISAXS1()
: mp_intensity_output(0)
+, mp_sample(0)
{
}
diff --git a/App/src/TestIsGISAXS10.cpp b/App/src/TestIsGISAXS10.cpp
index 47fafb2b907ff91caeb8966c760398cee04de976..ccc0160bf51d2e31e4526a20033299c2b91cc405 100644
--- a/App/src/TestIsGISAXS10.cpp
+++ b/App/src/TestIsGISAXS10.cpp
@@ -8,15 +8,9 @@
#include "LayerDecorator.h"
#include "NanoParticleDecoration.h"
-#include "TCanvas.h"
-#include "TH2.h"
-#include "TStyle.h"
-
-#include <fstream>
-
-
TestIsGISAXS10::TestIsGISAXS10()
: mp_intensity_output(0)
+, mp_sample(0)
{
}
diff --git a/App/src/TestIsGISAXS3.cpp b/App/src/TestIsGISAXS3.cpp
index 05919e5ac0bdf521ba261795a24b3bf1d06639fb..5b8040dffdf07ca48f8370de1568d331b7acb987 100644
--- a/App/src/TestIsGISAXS3.cpp
+++ b/App/src/TestIsGISAXS3.cpp
@@ -11,15 +11,9 @@
#include "GISASExperiment.h"
#include "FormFactors.h"
-#include "TCanvas.h"
-#include "TH2.h"
-#include "TStyle.h"
-
-#include <fstream>
-
-
TestIsGISAXS3::TestIsGISAXS3()
: mp_intensity_output(0)
+, mp_sample(0)
{
}
diff --git a/App/src/TestIsGISAXS9.cpp b/App/src/TestIsGISAXS9.cpp
index 0ce4e73c861b0f1965f067026156670221a012e7..6a04f472b681519b9f441c0156fb847ad186afa0 100644
--- a/App/src/TestIsGISAXS9.cpp
+++ b/App/src/TestIsGISAXS9.cpp
@@ -13,11 +13,6 @@
#include "FormFactors.h"
#include "TCanvas.h"
-#include "TH2.h"
-#include "TStyle.h"
-
-#include <fstream>
-
TestIsGISAXS9::TestIsGISAXS9()
: mp_sample(0), mp_intensity_output(0)
diff --git a/Core/Algorithms/inc/ConvolutionDetectorResolution.h b/Core/Algorithms/inc/ConvolutionDetectorResolution.h
new file mode 100644
index 0000000000000000000000000000000000000000..c434df3d01d8f348c1fbed6ac69cd24d85af1e15
--- /dev/null
+++ b/Core/Algorithms/inc/ConvolutionDetectorResolution.h
@@ -0,0 +1,49 @@
+#ifndef CONVOLUTIONDETECTORRESOLUTION_H_
+#define CONVOLUTIONDETECTORRESOLUTION_H_
+// ********************************************************************
+// * The BornAgain project *
+// * Simulation of neutron and x-ray scattering at grazing incidence *
+// * *
+// * LICENSE AND DISCLAIMER *
+// * Lorem ipsum dolor sit amet, consectetur adipiscing elit. Mauris *
+// * eget quam orci. Quisque porta varius dui, quis posuere nibh *
+// * mollis quis. Mauris commodo rhoncus porttitor. *
+// ********************************************************************
+//! @file ConvolutionDetectorResolution.h
+//! @brief Definition of
+//! @author Scientific Computing Group at FRM II
+//! @date Jul 10, 2012
+
+#include "IDetectorResolution.h"
+
+//- -------------------------------------------------------------------
+//! @class ConvolutionDetectorResolution
+//! @brief This class applies a 1 or 2 dimensional convolution of the intensity with a resolution function
+//!
+//! Limitation: this class assumes that the data points are evenly distributed on each axis
+//- -------------------------------------------------------------------
+
+class ConvolutionDetectorResolution : public IDetectorResolution
+{
+public:
+ typedef double (*resolution_function_1d)(double);
+ typedef double (*resolution_function_2d)(double, double);
+ //! Constructor taking a 1 dimensional resolution function as argument
+ ConvolutionDetectorResolution(resolution_function_1d res_function_1d);
+ //! Constructor taking a 2 dimensional resolution function as argument
+ ConvolutionDetectorResolution(resolution_function_2d res_function_2d);
+ //! Destructor
+ virtual ~ConvolutionDetectorResolution();
+
+ //! Apply the encapsulated resolution function to the given intensity map by using a convolution
+ virtual void applyDetectorResolution(OutputData<double> *p_intensity_map) const;
+private:
+ size_t m_dimension;
+ resolution_function_1d m_res_function_1d;
+ resolution_function_2d m_res_function_2d;
+ void apply1dConvolution(const std::vector<NamedVectorBase *> &axes, OutputData<double> *p_intensity_map) const;
+ void apply2dConvolution(const std::vector<NamedVectorBase *> &axes, OutputData<double> *p_intensity_map) const;
+};
+
+
+#endif /* CONVOLUTIONDETECTORRESOLUTION_H_ */
diff --git a/Core/Algorithms/inc/Detector.h b/Core/Algorithms/inc/Detector.h
index 9e081a26a4c9895d6bcc72fbf44b58b3b8cd83d1..f96f5121b74d0f7779b0124e933359b0b5c1a6c6 100644
--- a/Core/Algorithms/inc/Detector.h
+++ b/Core/Algorithms/inc/Detector.h
@@ -15,6 +15,7 @@
//! @date Jun 21, 2012
#include "NamedVector.h"
+#include "IDetectorResolution.h"
#include <vector>
@@ -28,10 +29,13 @@ public:
NamedVector<double> getAxis(size_t index) const;
size_t getDimension() const { return m_axes.size(); }
void clear();
+ void setDetectorResolution(IDetectorResolution *p_detector_resolution) { mp_detector_resolution = p_detector_resolution; }
+ void applyDetectorResolution(OutputData<double> *p_intensity_map) const;
protected:
bool isCorrectAxisIndex(size_t index) const { return index<getDimension(); }
private:
std::vector<NamedVector<double> > m_axes;
+ IDetectorResolution *mp_detector_resolution;
};
diff --git a/Core/Algorithms/inc/GISASExperiment.h b/Core/Algorithms/inc/GISASExperiment.h
index b876aaf182d2c6630b6147f90f24500b72b2b9bd..5a1e477f62d5264f21b7b3952d32709d54fb173b 100644
--- a/Core/Algorithms/inc/GISASExperiment.h
+++ b/Core/Algorithms/inc/GISASExperiment.h
@@ -16,6 +16,7 @@
#include "Experiment.h"
+#include "ConvolutionDetectorResolution.h"
class GISASExperiment : public Experiment
{
@@ -26,6 +27,8 @@ public:
void setDetectorParameters(double phi_f_min, double phi_f_max, size_t n_phi,
double alpha_f_min, double alpha_f_max, size_t n_alpha, bool isgisaxs_style=false);
+
+ void setDetectorResolutionFunction(ConvolutionDetectorResolution::resolution_function_2d resolution_function);
private:
void initializeAnglesIsgisaxs(NamedVector<double> *p_axis, double start, double end, size_t size);
};
diff --git a/Core/Algorithms/inc/IDetectorResolution.h b/Core/Algorithms/inc/IDetectorResolution.h
new file mode 100644
index 0000000000000000000000000000000000000000..9301508d7c60e6ec2671b3c3dd3fe700ca55d787
--- /dev/null
+++ b/Core/Algorithms/inc/IDetectorResolution.h
@@ -0,0 +1,30 @@
+#ifndef IDETECTORRESOLUTION_H_
+#define IDETECTORRESOLUTION_H_
+
+// ********************************************************************
+// * The BornAgain project *
+// * Simulation of neutron and x-ray scattering at grazing incidence *
+// * *
+// * LICENSE AND DISCLAIMER *
+// * Lorem ipsum dolor sit amet, consectetur adipiscing elit. Mauris *
+// * eget quam orci. Quisque porta varius dui, quis posuere nibh *
+// * mollis quis. Mauris commodo rhoncus porttitor. *
+// ********************************************************************
+//! @file IDetectorResolution.h
+//! @brief Definition of IDetectorResolution interface
+//! @author Scientific Computing Group at FRM II
+//! @date Jul 10, 2012
+
+#include "OutputData.h"
+
+class IDetectorResolution
+{
+public:
+ //! Destructor
+ virtual ~IDetectorResolution() {}
+ //! Apply the resolution function to the intensity data
+ virtual void applyDetectorResolution(OutputData<double> *p_intensity_map) const=0;
+};
+
+
+#endif /* IDETECTORRESOLUTION_H_ */
diff --git a/Core/Algorithms/src/ConvolutionDetectorResolution.cpp b/Core/Algorithms/src/ConvolutionDetectorResolution.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..ef2c56b9bceb9d00609634d07196edeca084a9da
--- /dev/null
+++ b/Core/Algorithms/src/ConvolutionDetectorResolution.cpp
@@ -0,0 +1,138 @@
+#include "ConvolutionDetectorResolution.h"
+#include "Convolve.h"
+#include "Exceptions.h"
+
+#include <cmath>
+#include <iostream>
+
+ConvolutionDetectorResolution::ConvolutionDetectorResolution(
+ resolution_function_1d res_function_1d)
+: m_dimension(1)
+, m_res_function_1d(res_function_1d)
+, m_res_function_2d(0)
+{
+}
+
+ConvolutionDetectorResolution::ConvolutionDetectorResolution(
+ resolution_function_2d res_function_2d)
+: m_dimension(2)
+, m_res_function_1d(0)
+, m_res_function_2d(res_function_2d)
+{
+}
+
+ConvolutionDetectorResolution::~ConvolutionDetectorResolution()
+{
+}
+
+void ConvolutionDetectorResolution::applyDetectorResolution(
+ OutputData<double>* p_intensity_map) const
+{
+ if (p_intensity_map->getDimension() != m_dimension) {
+ throw RuntimeErrorException("Intensity map must have same dimension as detector resolution function.");
+ }
+ std::vector<NamedVectorBase*> axes = p_intensity_map->getAxes();
+ switch (m_dimension) {
+ case 1:
+ apply1dConvolution(axes, p_intensity_map);
+ break;
+ case 2:
+ apply2dConvolution(axes, p_intensity_map);
+ break;
+ default:
+ throw LogicErrorException("Class ConvolutionDetectorResolution must be initialized with dimension 1 or 2.");
+ }
+}
+
+void ConvolutionDetectorResolution::apply1dConvolution(
+ const std::vector<NamedVectorBase*>& axes,
+ OutputData<double>* p_intensity_map) const
+{
+ if (m_res_function_1d==0) {
+ throw LogicErrorException("No 1d resolution function present for convolution of 1d data.");
+ }
+ if (axes.size() != 1) {
+ throw LogicErrorException("Number of axes for intensity map does not correspond to the dimension of the map.");
+ }
+ NamedVector<double> *p_axis = dynamic_cast<NamedVector<double> *>(axes[0]);
+ // Construct source vector from original intensity map
+ std::vector<double> source_vector = p_intensity_map->getRawDataVector();
+ size_t data_size = source_vector.size();
+ // Construct kernel vector from resolution function
+ if (p_axis->getSize() != data_size) {
+ throw LogicErrorException("Size of axis for intensity map does not correspond to the size of the data in the map.");
+ }
+ double step_size = std::abs((*p_axis)[0]-(*p_axis)[p_axis->getSize()-1])/p_axis->getSize();
+ double mid_value = (*p_axis)[p_axis->getSize()/2]; // Needed because Convolve class expects zero at midpoint
+ std::vector<double> kernel;
+ for (size_t index=0; index<data_size; ++index) {
+ kernel.push_back(m_res_function_1d((*p_axis)[index] - mid_value)*step_size);
+ }
+ // Calculate convolution
+ std::vector<double> result;
+ MathFunctions::Convolve cv;
+ cv.fftconvolve(source_vector, kernel, result);
+ // Populate intensity map with results
+ p_intensity_map->setRawDataVector(result);
+}
+
+void ConvolutionDetectorResolution::apply2dConvolution(
+ const std::vector<NamedVectorBase*>& axes,
+ OutputData<double>* p_intensity_map) const
+{
+ if (m_res_function_2d==0) {
+ throw LogicErrorException("No 2d resolution function present for convolution of 2d data.");
+ }
+ if (axes.size() != 2) {
+ throw LogicErrorException("Number of axes for intensity map does not correspond to the dimension of the map.");
+ }
+ NamedVector<double> *p_axis_1 = dynamic_cast<NamedVector<double> *>(axes[0]);
+ NamedVector<double> *p_axis_2 = dynamic_cast<NamedVector<double> *>(axes[1]);
+ size_t axis_size_1 = p_axis_1->getSize();
+ size_t axis_size_2 = p_axis_2->getSize();
+ // Construct source vector array from original intensity map
+ std::vector<double> raw_source_vector = p_intensity_map->getRawDataVector();
+ std::vector<std::vector<double> > source;
+ size_t raw_data_size = raw_source_vector.size();
+ if (raw_data_size != axis_size_1*axis_size_2) {
+ throw LogicErrorException("Intensity map data size does not match the product of its axes' sizes");
+ }
+ for (std::vector<double>::const_iterator it=raw_source_vector.begin(); it != raw_source_vector.end();it+=axis_size_1) {
+ std::vector<double> row_vector(it, it+axis_size_1);
+ source.push_back(row_vector);
+ }
+ // Construct kernel vector from resolution function
+ double kernel_total_sum = 0.0; // Temporary sum of the kernel values (should be 1 in total)
+ std::vector<std::vector<double> > kernel;
+ kernel.resize(axis_size_1);
+ double mid_value_1 = (*p_axis_1)[axis_size_1/2]; // Needed because Convolve class expects zero at midpoint
+ double mid_value_2 = (*p_axis_2)[axis_size_2/2]; // Needed because Convolve class expects zero at midpoint
+ double step_size_1 = std::abs((*p_axis_1)[0]-(*p_axis_1)[axis_size_1-1])/axis_size_1;
+ double step_size_2 = std::abs((*p_axis_2)[0]-(*p_axis_2)[axis_size_2-1])/axis_size_2;
+ for (size_t index_1=0; index_1<axis_size_1; ++index_1) {
+ double value_1 = (*p_axis_1)[index_1]-mid_value_1;
+ std::vector<double> row_vector;
+ row_vector.resize(axis_size_2);
+ for (size_t index_2=0; index_2<axis_size_2;++index_2) {
+ double value_2 = (*p_axis_2)[index_2]-mid_value_2;
+ double z_value = m_res_function_2d(value_1, value_2); // *step_size_1*step_size_2;
+ row_vector[index_2] = z_value;
+ kernel_total_sum += z_value;
+ }
+ kernel[index_1] = row_vector;
+ }
+ std::cout << "Total kernel value = " << kernel_total_sum << std::endl;
+ // Calculate convolution
+ std::vector<std::vector<double> > result;
+ MathFunctions::Convolve cv;
+ cv.fftconvolve(source, kernel, result);
+ // Populate intensity map with results
+ std::vector<double> result_vector;
+ for (size_t index_1=0; index_1<axis_size_1; ++index_1) {
+ for (size_t index_2=0; index_2<axis_size_2;++index_2) {
+ double value = result[index_1][index_2];
+ result_vector.push_back(value);
+ }
+ }
+ p_intensity_map->setRawDataVector(result_vector);
+}
diff --git a/Core/Algorithms/src/Detector.cpp b/Core/Algorithms/src/Detector.cpp
index d191275aa2887fbcac1f343969f96c1759925126..42732ac7bd0458f5dad7233811fa4457c8c80b24 100644
--- a/Core/Algorithms/src/Detector.cpp
+++ b/Core/Algorithms/src/Detector.cpp
@@ -2,6 +2,7 @@
#include "Exceptions.h"
Detector::Detector()
+: mp_detector_resolution(0)
{
}
@@ -27,3 +28,10 @@ void Detector::clear()
m_axes.clear();
}
+void Detector::applyDetectorResolution(
+ OutputData<double>* p_intensity_map) const
+{
+ if (mp_detector_resolution) {
+ mp_detector_resolution->applyDetectorResolution(p_intensity_map);
+ }
+}
diff --git a/Core/Algorithms/src/GISASExperiment.cpp b/Core/Algorithms/src/GISASExperiment.cpp
index 95afe733f36ef65d1297b57c6c095d6d8c6de4ff..017626e462d5db80b3db4910acbd3264b57b90c6 100644
--- a/Core/Algorithms/src/GISASExperiment.cpp
+++ b/Core/Algorithms/src/GISASExperiment.cpp
@@ -20,6 +20,7 @@ void GISASExperiment::runSimulation()
p_dwba_simulation->run();
m_intensity_map += (*p_dwba_simulation->getDWBAIntensity());
}
+ m_detector.applyDetectorResolution(&m_intensity_map);
}
void GISASExperiment::setDetectorParameters(double phi_f_min, double phi_f_max,
@@ -42,6 +43,12 @@ void GISASExperiment::setDetectorParameters(double phi_f_min, double phi_f_max,
updateIntensityMapAxes();
}
+void GISASExperiment::setDetectorResolutionFunction(
+ ConvolutionDetectorResolution::resolution_function_2d resolution_function)
+{
+ m_detector.setDetectorResolution(new ConvolutionDetectorResolution(resolution_function));
+}
+
void GISASExperiment::initializeAnglesIsgisaxs(NamedVector<double> *p_axis, double start, double end, size_t size) {
double start_sin = std::sin(start);
double end_sin = std::sin(end);
diff --git a/Core/Core.pro b/Core/Core.pro
index d8486bb703589b0077727f78173b690213c5f294..4be78ab8580fe4503d68440f5e912787f35904b4 100644
--- a/Core/Core.pro
+++ b/Core/Core.pro
@@ -13,6 +13,7 @@ QMAKE_EXTENSION_SHLIB = so
SOURCES += \
Algorithms/src/Beam.cpp \
+ Algorithms/src/ConvolutionDetectorResolution.cpp \
Algorithms/src/DecouplingApproximationStrategy.cpp \
Algorithms/src/Detector.cpp \
Algorithms/src/DWBADiffuseReflection.cpp \
@@ -71,6 +72,7 @@ SOURCES += \
HEADERS += \
Algorithms/inc/Beam.h \
+ Algorithms/inc/ConvolutionDetectorResolution.h \
Algorithms/inc/DecouplingApproximationStrategy.h \
Algorithms/inc/Detector.h \
Algorithms/inc/DWBADiffuseReflection.h \
@@ -79,6 +81,7 @@ HEADERS += \
Algorithms/inc/DWBASimulation.h \
Algorithms/inc/Experiment.h \
Algorithms/inc/GISASExperiment.h \
+ Algorithms/inc/IDetectorResolution.h \
Algorithms/inc/ISimulation.h \
Algorithms/inc/IInterferenceFunctionStrategy.h \
Algorithms/inc/LayerDecoratorDWBASimulation.h \
diff --git a/Core/Tools/inc/MathFunctions.h b/Core/Tools/inc/MathFunctions.h
index efcc0a5411e46c64cf14f1a6315cf0110c0d8a2b..1ac50026a62557ca47e87ff1a6314c743d14441e 100644
--- a/Core/Tools/inc/MathFunctions.h
+++ b/Core/Tools/inc/MathFunctions.h
@@ -26,6 +26,8 @@ namespace MathFunctions
{
double Gaussian(double value, double average, double std_dev);
+double IntegratedGaussian(double value, double average, double std_dev, double step);
+
double GenerateNormalRandom(double average, double std_dev);
double StandardNormal(double value);
diff --git a/Core/Tools/inc/OutputData.h b/Core/Tools/inc/OutputData.h
index 436e8ef636b9766a5b8aa6a6dcb353a725a3e61f..95470d05209ffa5112ecd32b97bcded9d9017144 100644
--- a/Core/Tools/inc/OutputData.h
+++ b/Core/Tools/inc/OutputData.h
@@ -15,8 +15,9 @@
//! @date 01.04.2012
#include "NamedVector.h"
-#include <map>
+#include "Exceptions.h"
+#include <map>
template <class T> class OutputData;
@@ -71,6 +72,8 @@ public:
NamedVectorBase* getAxis(std::string label);
size_t getDimension() const { return m_dimension; }
size_t getAllocatedSize() const { return m_data_vector.size(); }
+ std::vector<T> getRawDataVector() const { return m_data_vector; }
+ void setRawDataVector(const std::vector<T> &data_vector);
MultiIndex& getIndex();
void resetIndex();
bool hasNext();
@@ -157,6 +160,14 @@ template <class T> NamedVectorBase* OutputData<T>::getAxis(std::string label)
return 0;
}
+template<class T> inline void OutputData<T>::setRawDataVector(const std::vector<T> &data_vector)
+{
+ if (data_vector.size() != m_data_size) {
+ throw RuntimeErrorException("setRawDataVector can only be called with a data vector of the correct size.");
+ }
+ m_data_vector = data_vector;
+}
+
template <class T> inline MultiIndex& OutputData<T>::getIndex()
{
return m_index;
diff --git a/Core/Tools/src/MathFunctions.cpp b/Core/Tools/src/MathFunctions.cpp
index f0cb5848bd0410ba3501696deb0903865ee2204e..4c9f86446887f620a130a80c5bb369c577a06b45 100644
--- a/Core/Tools/src/MathFunctions.cpp
+++ b/Core/Tools/src/MathFunctions.cpp
@@ -5,11 +5,21 @@
#include <fftw3.h>
#include <string.h>
+#include "gsl/gsl_sf_erf.h"
+
double MathFunctions::Gaussian(double value, double average, double std_dev)
{
return StandardNormal((value-average)/std_dev)/std_dev;
}
+double MathFunctions::IntegratedGaussian(double value, double average, double std_dev, double step)
+{
+ double left_margin = (value - average - step/2)/std_dev;
+ double right_margin = (value - average + step/2)/std_dev;
+ double root2 = std::sqrt(2.0);
+ return (gsl_sf_erf(right_margin/root2) - gsl_sf_erf(left_margin/root2))/2.0;
+}
+
double MathFunctions::StandardNormal(double value)
{
return std::exp(- value*value / 2.0) / std::sqrt(2.0*M_PI);
diff --git a/Examples/IsGISAXS_examples/ex-1/2-particles.ima b/Examples/IsGISAXS_examples/ex-1/2-particles.ima
index d1b727d4b8587b1c8d7dad58cb51d78184528a95..1f0d90a23695d32e2d9e7ab0d65e4287cbe15d57 100644
--- a/Examples/IsGISAXS_examples/ex-1/2-particles.ima
+++ b/Examples/IsGISAXS_examples/ex-1/2-particles.ima
@@ -1,100 +1,100 @@
-3.80961e-30 63.2504 248.161 540.456 916.792 1345.12 1784.75 2185.16 2480.11 2558.06 1414.55 913.982 754.66 665.01 604.331 558.73 521.97 490.8 463.354 438.488 415.466 393.804 373.171 353.344 334.171 315.548 297.41 279.718 262.453 245.609 229.193 213.22 197.708 182.683 168.169 154.194 140.785 127.966 115.763 104.196 93.2839 83.0422 73.4822 64.6112 56.4324 48.9449 42.1435 36.0189 30.5577 25.7425 21.5525 17.9633 14.9477 12.4756 10.5144 9.02989 7.9859 7.34523 7.06982 7.12115 7.46065 8.05001 8.85154 9.82845 10.9452 12.1676 13.4632 14.8015 16.1538 17.494 18.7978 20.0436 21.212 22.2863 23.2519 24.0969 24.8117 25.3888 25.8234 26.1123 26.2548 26.2519 26.1064 25.8227 25.4069 24.8663 24.2095 23.4461 22.5865 21.6421 20.6247 19.5464 18.4197 17.2573 16.0717 14.8753 13.6802 12.4981 11.34 10.2164
-7.39513e-30 65.4353 256.733 559.126 948.462 1391.58 1846.4 2260.64 2565.78 2646.42 1463.41 945.554 780.728 687.981 625.206 578.029 540 507.754 479.359 453.634 429.817 407.406 386.061 365.549 345.713 326.447 307.683 289.38 271.518 254.092 237.109 220.584 204.537 188.993 173.978 159.52 145.647 132.386 119.761 107.795 96.5059 85.9106 76.0204 66.843 58.3817 50.6356 43.5993 37.2632 31.6133 26.6318 22.2971 18.5839 15.4642 12.9066 10.8777 9.34192 8.26187 7.59907 7.31415 7.36728 7.71853 8.32828 9.15754 10.1683 11.3236 12.5883 13.9288 15.3134 16.7126 18.0992 19.4482 20.7372 21.9462 23.0577 24.0569 24.9313 25.6709 26.2682 26.718 27.0171 27.1647 27.1619 27.0115 26.7182 26.2882 25.729 25.0496 24.2599 23.3708 22.3938 21.3412 20.2257 19.0601 17.8574 16.6308 15.393 14.1565 12.9333 11.735 10.5724
-0 66.8468 262.271 571.186 968.919 1421.6 1886.23 2309.4 2621.12 2703.5 1494.98 965.948 797.567 702.819 638.69 590.496 551.646 518.704 489.697 463.417 439.086 416.192 394.386 373.432 353.168 333.487 314.317 295.62 277.372 259.571 242.222 225.34 208.947 193.068 177.729 162.96 148.788 135.24 122.343 110.119 98.5868 87.763 77.6595 68.2842 59.6406 51.7275 44.5395 38.0667 32.295 27.2061 22.7779 18.9847 15.7977 13.185 11.1124 9.54343 8.4401 7.76302 7.47196 7.52624 7.88509 8.50802 9.35519 10.3877 11.5681 12.8601 14.2296 15.6441 17.0736 18.4902 19.8684 21.1853 22.4205 23.5562 24.5771 25.4705 26.2262 26.8366 27.2962 27.602 27.753 27.7502 27.5968 27.2973 26.8581 26.2871 25.5931 24.7865 23.8782 22.8802 21.805 20.6654 19.4746 18.246 16.9929 15.7283 14.465 13.2153 11.9911 10.8032
-4.4819e-30 67.4121 264.489 576.016 977.113 1433.62 1902.18 2328.93 2643.29 2726.36 1507.62 974.115 804.31 708.761 644.09 595.488 556.31 523.089 493.837 467.334 442.797 419.709 397.719 376.588 356.153 336.305 316.973 298.117 279.716 261.764 244.268 227.244 210.712 194.699 179.23 164.336 150.044 136.383 123.377 111.049 99.4194 88.5042 78.3154 68.8609 60.1442 52.1643 44.9156 38.3882 32.5678 27.4359 22.9703 19.1451 15.9312 13.2964 11.2063 9.62408 8.51143 7.82863 7.53513 7.58988 7.95177 8.57998 9.43433 10.4756 11.666 12.969 14.3501 15.7766 17.2183 18.6469 20.0369 21.365 22.6108 23.7561 24.7858 25.6869 26.4492 27.0648 27.5285 27.837 27.9894 27.9868 27.8322 27.5303 27.0875 26.5118 25.8121 24.9987 24.0828 23.0765 21.9922 20.8429 19.6421 18.4031 17.1393 15.864 14.5899 13.3296 12.0949 10.8969
-3.58552e-30 67.097 263.252 573.324 972.546 1426.92 1893.29 2318.04 2630.93 2713.62 1500.57 969.561 800.55 705.447 641.078 592.703 553.708 520.642 491.527 465.147 440.726 417.745 395.858 374.825 354.486 334.73 315.489 296.721 278.406 260.538 243.124 226.18 209.725 193.786 178.39 163.566 149.341 135.743 122.798 110.528 98.9532 88.0892 77.9482 68.538 59.8622 51.9197 44.705 38.2082 32.4151 27.3072 22.8626 19.0553 15.8565 13.2341 11.1537 9.57896 8.47153 7.79194 7.49982 7.55432 7.91452 8.5398 9.39017 10.4266 11.6114 12.9083 14.283 15.7029 17.1378 18.5598 19.9434 21.2653 22.5053 23.6455 24.6704 25.5674 26.3262 26.9391 27.4007 27.7079 27.8597 27.8572 27.7034 27.4031 26.9625 26.3895 25.6932 24.8837 23.9722 22.9706 21.8914 20.7476 19.5524 18.3192 17.0613 15.7919 14.5238 13.2693 12.0403 10.8478
-0 65.9135 258.609 563.211 955.392 1401.75 1859.89 2277.15 2584.52 2665.75 1474.1 952.457 786.428 693.002 629.768 582.247 543.939 511.457 482.855 456.94 432.949 410.375 388.873 368.211 348.23 328.823 309.922 291.485 273.493 255.94 238.833 222.187 206.023 190.366 175.241 160.678 146.705 133.347 120.63 108.577 97.2062 86.5339 76.5719 67.3279 58.8052 51.0029 43.9156 37.5335 31.8427 26.825 22.4589 18.7188 15.5765 13.0004 10.9568 9.40982 8.32194 7.65435 7.36739 7.42093 7.77478 8.38902 9.22438 10.2425 11.4064 12.6805 14.0308 15.4257 16.8354 18.2323 19.5914 20.8901 22.1083 23.2283 24.2352 25.1165 25.862 26.4641 26.9177 27.2195 27.3687 27.3664 27.2154 26.9205 26.4878 25.925 25.241 24.4459 23.5506 22.5667 21.5066 20.383 19.2089 17.9975 16.7618 15.5148 14.269 13.0366 11.8292 10.6577
-3.58552e-30 63.9272 250.816 546.239 926.601 1359.51 1803.84 2208.53 2506.64 2585.42 1429.68 923.754 762.728 672.118 610.789 564.699 527.546 496.042 468.302 443.169 419.9 398.006 377.152 357.113 337.734 318.912 300.58 282.699 265.248 248.224 231.633 215.489 199.812 184.627 169.958 155.834 142.282 129.327 116.993 105.303 94.2752 83.9247 74.263 65.2977 57.032 49.4649 42.5913 36.4016 30.8824 26.0161 21.7816 18.1543 15.1067 12.6083 10.6263 9.12602 8.07096 7.4235 7.14519 7.19712 7.5403 8.13601 8.94618 9.93363 11.0624 12.298 13.6077 14.9605 16.3277 17.6825 19.0007 20.2602 21.4417 22.528 23.5045 24.3592 25.0823 25.6663 26.1063 26.3991 26.5438 26.5416 26.3952 26.1092 25.6897 25.1439 24.4806 23.7095 22.8412 21.8871 20.859 19.7693 18.6306 17.4557 16.2573 15.0479 13.8397 12.6444 11.4734 10.3372
-8.9638e-31 61.264 240.367 523.483 887.999 1302.87 1728.69 2116.52 2402.21 2477.71 1370.12 885.269 730.951 644.116 585.342 541.172 505.567 475.375 448.79 424.704 402.405 381.422 361.438 342.233 323.662 305.623 288.055 270.919 254.195 237.881 221.981 206.509 191.486 176.933 162.875 149.34 136.352 123.937 112.117 100.914 90.346 80.4268 71.1677 62.576 54.6548 47.4031 40.816 34.8843 29.5951 24.9316 20.8736 17.3975 14.4769 12.0827 10.1833 8.74557 7.73448 7.11402 6.84731 6.89706 7.22593 7.7968 8.57319 9.51947 10.6012 11.7853 13.0403 14.3368 15.6469 16.9452 18.2084 19.4155 20.5477 21.5887 22.5245 23.3436 24.0365 24.5962 25.0178 25.2984 25.4372 25.435 25.2948 25.0207 24.6187 24.0957 23.4601 22.7212 21.8891 20.9747 19.9895 18.9453 17.8541 16.7282 15.5798 14.4208 13.263 12.1176 10.9954 9.90652
-8.9638e-31 58.115 228.012 496.575 842.355 1235.9 1639.84 2007.73 2278.73 2350.35 1299.69 839.764 693.378 611.006 555.254 513.354 479.579 450.939 425.721 402.872 381.719 361.815 342.858 324.64 307.023 289.912 273.247 256.991 241.127 225.651 210.569 195.893 181.641 167.836 154.501 141.662 129.342 117.564 106.353 95.7257 85.7006 76.2914 67.5083 59.3584 51.8444 44.9656 38.7171 33.0904 28.0732 23.6495 19.8001 16.5028 13.7324 11.4613 9.6596 8.29577 7.33668 6.74812 6.49512 6.54231 6.85425 7.39575 8.13219 9.02978 10.0558 11.179 12.3695 13.5992 14.8419 16.0734 17.2716 18.4165 19.4905 20.4779 21.3655 22.1424 22.7997 23.3306 23.7304 23.9965 24.1281 24.1261 23.993 23.733 23.3516 22.8555 22.2526 21.5517 20.7624 19.8951 18.9606 17.9701 16.935 15.8671 14.7778 13.6784 12.5802 11.4937 10.4293 9.39648
-8.9638e-31 54.7404 214.772 467.741 793.441 1164.14 1544.62 1891.15 2146.41 2213.87 1224.22 791.001 653.115 575.526 523.011 483.544 451.73 424.754 400.999 379.478 359.553 340.805 322.948 305.788 289.194 273.077 257.379 242.067 227.125 212.547 198.34 184.516 171.093 158.089 145.529 133.435 121.83 110.737 100.176 90.1661 80.7232 71.8604 63.5874 55.9107 48.8331 42.3538 36.4682 31.1683 26.4425 22.2757 18.65 15.5442 12.9347 10.7955 9.09843 7.81382 6.91043 6.35605 6.11774 6.16218 6.45598 6.96601 7.65964 8.50506 9.47147 10.5293 11.6506 12.8088 13.9793 15.1392 16.2677 17.346 18.3574 19.2874 20.1234 20.855 21.474 21.9739 22.3504 22.601 22.7248 22.7228 22.5974 22.3525 21.9931 21.5258 20.9579 20.2976 19.5542 18.7372 17.857 16.924 15.9492 14.9433 13.9173 12.8819 11.8475 10.8243 9.82178 8.84908
-3.58552e-30 51.4715 201.946 439.809 746.06 1094.62 1452.38 1778.21 2018.23 2081.67 1151.11 743.766 614.114 541.158 491.779 454.669 424.755 399.389 377.054 356.817 338.082 320.454 303.663 287.528 271.925 256.77 242.009 227.612 213.562 199.855 186.496 173.498 160.876 148.649 136.838 125.466 114.555 104.124 94.1936 84.7815 75.9025 67.5689 59.7899 52.5717 45.9167 39.8243 34.2902 29.3068 24.8632 20.9452 17.536 14.6157 12.1621 10.1506 8.55493 7.34704 6.49761 5.97633 5.75224 5.79401 6.07024 6.54977 7.20194 7.99681 8.90544 9.90006 10.9543 12.0432 13.1436 14.2341 15.2951 16.3089 17.2597 18.134 18.9199 19.6076 20.1895 20.6594 21.0132 21.2486 21.3649 21.3629 21.2448 21.0143 20.6763 20.2368 19.7027 19.0818 18.3827 17.6145 16.7869 15.9096 14.993 14.0473 13.0827 12.1092 11.1367 10.1747 9.23227 8.31784
-8.9638e-31 48.7105 191.114 416.217 706.041 1035.9 1374.47 1682.83 1909.98 1970 1089.37 703.871 581.173 512.132 465.401 430.282 401.972 377.967 356.83 337.679 319.949 303.266 287.376 272.107 257.341 242.999 229.03 215.405 202.108 189.137 176.495 164.193 152.248 140.677 129.5 118.738 108.411 98.5398 89.1422 80.2348 71.8319 63.9452 56.5834 49.7522 43.4542 37.6885 32.4512 27.735 23.5297 19.8218 16.5954 13.8317 11.5097 9.60609 8.096 6.95289 6.14901 5.65569 5.4436 5.48311 5.7445 6.19827 6.81541 7.56758 8.4274 9.36858 10.3661 11.3965 12.4378 13.4697 14.4735 15.4327 16.3324 17.1595 17.9031 18.5537 19.104 19.5485 19.8831 20.1057 20.2154 20.2133 20.1013 19.883 19.5629 19.1468 18.6412 18.0535 17.3918 16.6647 15.8814 15.0512 14.1838 13.2889 12.3761 11.455 10.5348 9.62459 8.73289 7.86773
-0 46.9283 184.121 400.988 680.208 998.002 1324.18 1621.26 1840.1 1897.93 1049.51 678.12 559.912 493.397 448.376 414.542 387.268 364.142 343.778 325.328 308.247 292.175 276.866 262.156 247.93 234.113 220.655 207.529 194.718 182.221 170.042 158.19 146.682 135.534 124.766 114.397 104.448 94.9377 85.8836 77.3019 69.2062 61.6078 54.5152 47.9337 41.8658 36.3109 31.265 26.7212 22.6695 19.0972 15.9888 13.3261 11.0889 9.25487 7.79998 6.69864 5.92414 5.44884 5.24449 5.28253 5.53433 5.97148 6.566 7.29061 8.1189 9.02557 9.98654 10.9791 11.9822 12.9761 13.9431 14.867 15.7335 16.5301 17.2462 17.8727 18.4026 18.8305 19.1526 19.3666 19.4721 19.4697 19.3615 19.1508 18.8422 18.4411 17.9537 17.3873 16.7496 16.0491 15.2943 14.4945 13.6588 12.7966 11.9173 11.03 10.1437 9.26696 8.40811 7.57487
-2.24095e-31 46.6598 183.068 398.694 676.317 992.293 1316.61 1611.99 1829.58 1887.08 1043.52 674.245 556.714 490.579 445.816 412.176 385.059 362.065 341.818 323.474 306.491 290.51 275.29 260.664 246.519 232.781 219.401 206.349 193.612 181.186 169.076 157.293 145.85 134.765 124.059 113.749 103.857 94.4002 85.3975 76.8645 68.8147 61.2594 54.2069 47.6627 41.6292 36.1056 31.0883 26.5701 22.5414 18.9893 15.8984 13.2507 11.0262 9.20252 7.75584 6.66072 5.89059 5.41796 5.21475 5.25255 5.5029 5.93753 6.52864 7.24907 8.0726 8.97403 9.92944 10.9163 11.9134 12.9015 13.8628 14.7812 15.6426 16.4344 17.146 17.7687 18.2952 18.7203 19.0402 19.2526 19.3571 19.3543 19.2463 19.0365 18.7293 18.3301 17.8453 17.2818 16.6476 15.9508 15.2002 14.4048 13.5739 12.7167 11.8424 10.9603 10.0791 9.20765 8.35395 7.52576
-8.9638e-31 48.4973 190.277 414.395 702.951 1031.37 1368.46 1675.48 1901.64 1961.41 1084.62 700.804 578.644 509.905 463.38 428.415 400.23 376.331 355.288 336.221 318.57 301.961 286.141 270.939 256.238 241.959 228.052 214.486 201.248 188.333 175.745 163.497 151.604 140.082 128.954 118.238 107.955 98.1258 88.7681 79.8985 71.5312 63.6777 56.3469 49.5445 43.2728 37.5312 32.3158 27.6193 23.4315 19.7392 16.5262 13.774 11.4616 9.5659 8.06209 6.92372 6.12316 5.63186 5.42061 5.45989 5.7201 6.17186 6.78625 7.53508 8.39104 9.32797 10.321 11.3466 12.383 13.4099 14.4089 15.3633 16.2584 17.0811 17.8206 18.4674 19.0144 19.4559 19.7879 20.0084 20.1165 20.1132 20.0006 19.7821 19.4624 19.0471 18.5428 17.9568 17.2973 16.5728 15.7924 14.9656 14.1018 13.2107 12.302 11.3852 10.4695 9.56383 8.67672 7.81616
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-8.06742e-30 141.348 554.573 1207.78 2048.8 3006.01 3988.49 4883.33 5542.52 5716.76 3161.27 2042.6 1686.56 1486.22 1350.62 1248.72 1166.58 1096.93 1035.6 980.036 928.595 880.191 834.087 789.784 746.939 705.324 664.793 625.256 586.672 549.03 512.343 476.644 441.976 408.394 375.955 344.718 314.744 286.091 258.812 232.956 208.563 185.667 164.295 144.463 126.178 109.438 94.2312 80.5377 68.327 57.5607 48.1921 40.1669 33.424 27.8962 23.511 20.1914 17.857 16.4243 15.8084 15.923 16.682 17.9996 19.7915 21.9755 24.4719 27.2044 30.1005 33.0916 36.1141 39.1089 42.0221 44.8053 47.4152 49.8142 51.97 53.8558 55.45 56.7365 57.7037 58.3454 58.6595 58.6483 58.3183 57.6796 56.7456 55.5328 54.0604 52.35 50.4251 48.3109 46.0339 43.6215 41.1015 38.5022 35.8518 33.1778 30.5073 27.8663 25.2797 22.7707
-3.58552e-30 176.854 693.879 1511.17 2563.45 3761.11 4990.39 6110 6934.77 7152.79 3955.36 2555.69 2110.21 1859.55 1689.89 1562.39 1459.62 1372.47 1295.74 1226.22 1161.85 1101.29 1043.61 988.174 934.567 882.499 831.786 782.318 734.042 686.944 641.042 596.375 553 510.982 470.394 431.311 393.808 357.958 323.826 291.475 260.954 232.308 205.567 180.753 157.874 136.929 117.903 100.77 85.4916 72.0208 60.2987 50.2575 41.8208 34.9043 29.4175 25.2641 22.3432 20.5507 19.78 19.9235 20.8733 22.522 24.7642 27.4969 30.6207 34.0399 37.6637 41.4066 45.1887 48.9362 52.5818 56.0646 59.3307 62.3328 65.0307 67.3908 69.3861 70.9963 72.2071 73.0105 73.404 73.3906 72.9782 72.1795 71.0112 69.494 67.6521 65.5122 63.104 60.4588 57.6098 54.5912 51.4381 48.1856 44.8691 41.523 38.1812 34.8764 31.6394 28.4996
-1.79276e-29 219.739 862.137 1877.61 3185.05 4673.13 6200.5 7591.61 8616.38 8887.25 4914.49 3175.42 2621.91 2310.46 2099.67 1941.25 1813.56 1705.28 1609.94 1523.56 1443.59 1368.34 1296.67 1227.79 1161.19 1096.49 1033.48 972.019 912.036 853.518 796.485 740.987 687.094 634.887 584.457 535.897 489.301 444.757 402.35 362.153 324.232 288.639 255.414 224.583 196.157 170.133 146.493 125.205 106.223 89.4854 74.9209 62.4448 51.9622 43.3687 36.5514 31.3907 27.7616 25.5344 24.5769 24.7553 25.9354 27.984 30.7701 34.1657 38.0472 42.2958 46.7987 51.4496 56.1493 60.806 65.336 69.664 73.7226 77.4534 80.8062 83.7392 86.2191 88.2204 89.7256 90.7245 91.2141 91.198 90.6862 89.6943 88.2433 86.3587 84.0704 81.412 78.42 75.1335 71.5937 67.8432 63.9253 59.884 55.7628 51.605 47.4524 43.3456 39.3232 35.4213
-4.4819e-30 270.476 1061.2 2311.15 3920.47 5752.14 7632.18 9344.49 10605.9 10939.3 6049.23 3908.61 3227.3 2843.94 2584.47 2389.48 2232.3 2099.02 1981.66 1875.34 1776.9 1684.28 1596.06 1511.28 1429.29 1349.66 1272.1 1196.45 1122.62 1050.59 980.385 912.073 845.736 781.475 719.401 659.63 602.275 547.446 495.248 445.77 399.094 355.283 314.387 276.437 241.448 209.415 180.318 154.114 130.749 110.147 92.2198 76.8631 63.9602 53.3825 44.9911 38.6389 34.1718 31.4305 30.252 30.4716 31.9242 34.446 37.8755 42.0554 46.8333 52.0632 57.6061 63.3313 69.1165 74.8489 80.4255 85.7534 90.7498 95.3427 99.4703 103.081 106.135 108.599 110.452 111.683 112.286 112.267 111.638 110.418 108.632 106.313 103.497 100.225 96.5424 92.4973 88.1403 83.5237 78.7012 73.7265 68.6535 63.5352 58.4234 53.3678 48.4159 43.6124
-8.9638e-31 329.435 1292.53 2814.94 4775.07 7006.01 9295.86 11381.4 12917.8 13323.9 7367.85 4760.62 3930.79 3463.86 3147.83 2910.34 2718.89 2556.56 2413.62 2284.12 2164.23 2051.41 1943.96 1840.7 1740.84 1643.85 1549.39 1457.24 1367.32 1279.59 1194.08 1110.88 1030.08 951.815 876.211 803.41 733.553 666.774 603.197 542.935 486.085 432.724 382.914 336.693 294.077 255.062 219.622 187.707 159.249 134.156 112.321 93.6175 77.9021 65.0187 54.7983 47.0615 41.6207 38.2818 36.8465 37.1141 38.8834 41.955 46.1322 51.2234 57.043 63.4132 70.1648 77.1383 84.185 91.1675 97.9602 104.45 110.536 116.131 121.159 125.558 129.278 132.28 134.538 136.038 136.774 136.751 135.986 134.5 132.326 129.502 126.073 122.088 117.603 112.677 107.37 101.747 95.8736 89.8144 83.6353 77.4009 71.1743 65.016 58.9841 53.1327
-2.86842e-29 396.866 1557.09 3391.11 5752.46 8440.04 11198.6 13711 15561.8 16051.1 8875.94 5735.04 4735.37 4172.86 3792.14 3506.03 3275.4 3079.84 2907.65 2751.64 2607.2 2471.29 2341.85 2217.46 2097.16 1980.32 1866.52 1755.51 1647.18 1541.49 1438.48 1338.25 1240.92 1146.63 1055.55 967.848 883.693 803.245 726.656 654.06 585.573 521.292 461.286 405.604 354.266 307.267 264.573 226.126 191.843 161.615 135.311 112.779 93.8469 78.3266 66.0143 56.6941 50.1397 46.1175 44.3884 44.7108 46.8424 50.5428 55.5751 61.7086 68.7196 76.3939 84.5277 92.929 101.419 109.831 118.014 125.833 133.166 139.907 145.965 151.265 155.747 159.365 162.086 163.893 164.781 164.755 163.833 162.045 159.427 156.025 151.894 147.095 141.692 135.758 129.365 122.592 115.516 108.216 100.772 93.261 85.7594 78.34 71.0727 64.0229
-1.43421e-29 472.883 1855.34 4040.66 6854.3 10056.7 13343.6 16337.3 18542.6 19125.5 10576.1 6833.54 5642.38 4972.14 4518.49 4177.58 3902.77 3669.75 3464.57 3278.68 3106.58 2944.64 2790.4 2642.18 2498.84 2359.62 2224.02 2091.75 1962.67 1836.73 1714 1594.57 1478.59 1366.24 1257.72 1153.22 1052.95 957.091 865.832 779.332 697.728 621.134 549.636 483.29 422.119 366.117 315.246 269.436 228.586 192.569 161.227 134.379 111.822 93.3287 78.6583 67.553 59.7433 54.9507 52.8905 53.2747 55.8147 60.2239 66.2203 73.5287 81.8828 91.0273 100.719 110.73 120.846 130.87 140.622 149.939 158.677 166.71 173.929 180.245 185.587 189.898 193.142 195.296 196.355 196.325 195.228 193.098 189.979 185.927 181.005 175.287 168.85 161.78 154.163 146.092 137.66 128.963 120.092 111.143 102.204 93.3625 84.7024 76.3014
-0 557.452 2187.14 4763.28 8080.11 11855.2 15729.9 19259 21858.7 22545.8 12467.4 8055.62 6651.44 5861.33 5326.56 4924.67 4600.72 4326.03 4084.16 3865.02 3662.14 3471.24 3289.41 3114.68 2945.71 2781.59 2621.74 2465.82 2313.65 2165.19 2020.51 1879.72 1743 1610.56 1482.63 1359.45 1241.24 1128.24 1020.66 918.695 822.498 732.208 647.924 569.713 497.604 431.588 371.62 317.617 269.463 227.005 190.059 158.41 131.818 110.018 92.7245 79.6333 70.4271 64.7775 62.349 62.8019 65.7962 70.9941 78.0629 86.6784 96.5268 107.307 118.733 130.534 142.46 154.277 165.773 176.757 187.058 196.528 205.039 212.486 218.784 223.867 227.692 230.233 231.482 231.447 230.155 227.645 223.969 219.194 213.393 206.653 199.065 190.73 181.752 172.238 162.299 152.045 141.588 131.038 120.5 110.077 99.8672 89.963
-1.43421e-29 650.381 2551.75 5557.33 9427.09 13831.5 18352.1 22469.5 25502.6 26304.3 14545.8 9398.51 7760.25 6838.42 6214.5 5745.62 5367.66 5047.18 4764.98 4509.31 4272.61 4049.88 3837.75 3633.89 3436.75 3245.27 3058.77 2876.85 2699.32 2526.12 2357.32 2193.06 2033.55 1879.03 1729.78 1586.05 1448.14 1316.31 1190.8 1071.83 959.601 854.26 755.927 664.678 580.549 503.529 433.565 370.561 314.38 264.844 221.739 184.815 153.791 128.357 108.181 92.9076 82.1668 75.5755 72.7422 73.2708 76.7643 82.8287 91.076 101.128 112.618 125.195 138.526 152.295 166.209 179.997 193.41 206.226 218.245 229.294 239.225 247.914 255.263 261.195 265.658 268.624 270.082 270.043 268.536 265.609 261.321 255.75 248.983 241.12 232.269 222.545 212.07 200.97 189.374 177.411 165.211 152.901 140.606 128.445 116.533 104.977
-1.43421e-29 751.312 2947.75 6419.76 10890 15977.9 21200.2 25956.5 29460.2 30386.3 16803.1 10857 8964.52 7899.64 7178.89 6637.25 6200.63 5830.41 5504.43 5209.08 4935.64 4678.35 4433.29 4197.8 3970.07 3748.87 3533.43 3323.28 3118.2 2918.12 2723.12 2533.37 2349.11 2170.62 1998.2 1832.17 1672.86 1520.57 1375.58 1238.15 1108.51 986.819 873.227 767.819 670.635 581.663 500.842 428.062 363.164 305.941 256.148 213.494 177.656 148.275 124.968 107.325 94.9172 87.3031 84.0302 84.6409 88.6766 95.6821 105.209 116.821 130.095 144.624 160.024 175.93 192.003 207.931 223.427 238.232 252.117 264.882 276.355 286.393 294.883 301.736 306.894 310.32 312.006 311.962 310.223 306.842 301.89 295.455 287.639 278.557 268.332 257.1 245 232.178 218.782 204.963 190.869 176.649 162.445 148.396 134.635 121.284
-1.43421e-29 859.717 3373.07 7346.05 12461.3 18283.3 24259.1 29701.7 33710.9 34770.7 19227.5 12423.5 10258 9039.44 8214.7 7594.9 7095.29 6671.65 6298.63 5960.66 5647.77 5353.36 5072.94 4803.47 4542.87 4289.76 4043.24 3802.77 3568.09 3339.14 3116.01 2898.88 2688.04 2483.79 2286.49 2096.51 1914.22 1739.95 1574.05 1416.79 1268.44 1129.19 999.212 878.596 767.391 665.582 573.101 489.821 415.559 350.081 293.103 244.296 203.287 169.668 142.998 122.809 108.612 99.899 96.154 96.8528 101.471 109.487 120.389 133.677 148.865 165.491 183.113 201.315 219.708 237.934 255.666 272.608 288.497 303.104 316.234 327.721 337.437 345.28 351.183 355.105 357.035 356.986 354.997 351.129 345.464 338.102 329.159 318.767 307.068 294.215 280.37 265.698 250.37 234.557 218.429 202.157 185.903 169.827 154.079 138.801
-1.43421e-29 974.899 3824.98 8330.25 14130.9 20732.9 27509.2 33681 38227.4 39429.1 21803.6 14088 11632.3 10250.5 9315.26 8612.42 8045.87 7565.48 7142.48 6759.23 6404.42 6070.56 5752.57 5447 5151.49 4864.46 4584.91 4312.23 4046.11 3786.49 3533.46 3287.24 3048.15 2816.54 2592.81 2377.38 2170.66 1973.05 1784.91 1606.59 1438.36 1280.47 1133.07 996.298 870.194 754.747 649.877 555.44 471.229 396.98 332.369 277.023 230.52 192.398 162.155 139.261 123.162 113.282 109.036 109.828 115.065 124.155 136.518 151.585 168.809 187.663 207.646 228.286 249.144 269.812 289.92 309.132 327.151 343.716 358.606 371.633 382.651 391.547 398.242 402.69 404.88 404.825 402.571 398.186 391.763 383.415 373.275 361.492 348.226 333.652 317.952 301.315 283.933 266.002 247.714 229.26 210.829 192.598 174.739 157.415
-1.43421e-29 1096 4300.1 9364.99 15886.1 23308.2 30926.2 37864.6 42975.8 44326.8 24511.9 15837.9 13077.2 11523.8 10472.3 9682.2 9045.27 8505.21 8029.66 7598.81 7199.93 6824.59 6467.11 6123.58 5791.36 5468.68 5154.4 4847.84 4548.67 4256.8 3972.34 3695.55 3426.75 3166.37 2914.85 2672.66 2440.27 2218.11 2006.61 1806.14 1617.02 1439.51 1273.8 1120.04 978.276 848.49 730.594 624.428 529.758 446.286 373.651 311.43 259.152 216.294 182.295 156.558 138.459 127.353 122.578 123.469 129.357 139.576 153.475 170.414 189.777 210.973 233.438 256.642 280.091 303.328 325.934 347.533 367.791 386.414 403.154 417.801 430.188 440.19 447.717 452.719 455.182 455.122 452.589 447.66 440.44 431.057 419.658 406.412 391.499 375.115 357.466 338.763 319.222 299.063 278.503 257.758 237.036 216.54 196.463 176.985
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-0 1351.71 5303.39 11550 19592.7 28746.4 38141.9 46699.1 53002.8 54669 30230.9 19533.2 16128.3 14212.4 12915.7 11941.2 11155.7 10489.6 9903.08 9371.7 8879.76 8416.85 7975.95 7552.27 7142.53 6744.57 6356.96 5978.88 5609.9 5249.94 4899.11 4557.73 4226.22 3905.09 3594.89 3296.2 3009.58 2735.6 2474.75 2227.51 1994.26 1775.34 1570.98 1381.35 1206.51 1046.44 901.04 770.105 653.349 550.403 460.822 384.086 319.611 266.755 224.824 193.083 170.762 157.064 151.176 152.275 159.536 172.14 189.281 210.173 234.054 260.195 287.902 316.521 345.442 374.1 401.981 428.621 453.607 476.577 497.224 515.29 530.57 542.907 552.193 558.365 561.404 561.332 558.21 552.134 543.232 531.662 517.606 501.27 482.88 462.675 440.908 417.842 393.743 368.88 343.523 317.937 292.38 267.101 242.338 218.314
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-5.73683e-29 2667.32 10465.1 22791.5 38661.9 56724.9 75264.8 92150.6 104589 107877 59654 38544.3 31825.6 28045 25486.2 23563.2 22013.1 20698.7 19541.4 18492.8 17522 16608.6 15738.5 14902.5 14093.9 13308.6 12543.8 11797.7 11069.6 10359.3 9667.03 8993.39 8339.24 7705.57 7093.47 6504.07 5938.51 5397.87 4883.17 4395.3 3935.06 3503.08 3099.83 2725.65 2380.65 2064.81 1777.91 1519.55 1289.17 1086.04 909.282 757.869 630.649 526.355 443.618 380.988 336.944 309.916 298.299 300.468 314.796 339.667 373.491 414.715 461.84 513.424 568.099 624.573 681.644 738.199 793.221 845.794 895.104 940.438 981.188 1016.85 1047.01 1071.37 1089.7 1101.89 1107.9 1107.77 1101.63 1089.65 1072.1 1049.28 1021.55 989.327 953.047 913.185 870.24 824.729 777.178 728.119 678.082 627.591 577.156 527.268 478.397 430.983
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-5.73683e-29 2607.25 10229.5 22278.2 37791.3 55447.5 73569.9 90075.5 102234 105448 58310.6 37676.3 31108.9 27413.4 24912.2 23032.6 21517.4 20232.6 19101.3 18076.3 17127.4 16234.5 15384.1 14566.9 13776.6 13008.9 12261.3 11532 10820.3 10126 9449.34 8790.88 8151.46 7532.05 6933.74 6357.61 5804.79 5276.33 4773.21 4296.33 3846.45 3424.19 3030.03 2664.27 2327.05 2018.32 1737.88 1485.33 1260.14 1061.59 888.807 740.803 616.448 514.502 433.629 372.409 329.357 302.937 291.582 293.702 307.707 332.018 365.081 405.377 451.44 501.863 555.306 610.509 666.295 721.576 775.359 826.748 874.947 919.26 959.092 993.948 1023.43 1047.24 1065.16 1077.08 1082.95 1082.83 1076.82 1065.11 1047.95 1025.64 998.542 967.043 931.58 892.615 850.638 806.151 759.67 711.716 662.806 613.453 564.153 515.389 467.618 421.272
-5.73683e-29 2533.81 9941.3 21650.7 36726.8 53885.7 71497.5 87538.2 99354.4 102478 56668.1 36615 30232.6 26641.2 24210.5 22383.8 20911.3 19662.7 18563.3 17567.2 16645 15777.3 14950.8 14156.6 13388.5 12642.5 11915.9 11207.2 10515.6 9840.8 9183.18 8543.26 7921.85 7319.9 6738.43 6178.54 5641.29 5127.71 4638.76 4175.32 3738.11 3327.75 2944.69 2589.23 2261.5 1961.47 1688.93 1443.5 1224.65 1031.69 863.773 719.938 599.085 500.011 421.415 361.919 320.08 294.405 283.369 285.429 299.04 322.667 354.797 393.959 438.724 487.727 539.665 593.313 647.527 701.25 753.518 803.46 850.301 893.366 932.075 965.949 994.601 1017.74 1035.15 1046.73 1052.44 1052.32 1046.48 1035.1 1018.43 996.747 970.409 939.797 905.332 867.465 826.669 783.436 738.264 691.661 644.129 596.165 548.255 500.864 454.439 409.399
-5.73683e-29 2448.03 9604.76 20917.8 35483.4 52061.5 69077.1 84574.7 95991 99008.4 54749.7 35375.5 29209.1 25739.4 23390.9 21626 20203.4 18997.1 17934.9 16972.5 16081.5 15243.2 14444.7 13677.3 12935.3 12214.5 11512.6 10827.8 10159.6 9507.68 8872.32 8254.06 7653.69 7072.11 6510.33 5969.39 5450.32 4954.13 4481.74 4033.98 3611.57 3215.1 2845.01 2501.58 2184.95 1895.07 1631.76 1394.64 1183.19 996.763 834.534 695.568 578.806 483.085 407.15 349.668 309.245 284.439 273.777 275.768 288.918 311.744 342.787 380.623 423.873 471.217 521.396 573.228 625.607 677.512 728.01 776.26 821.516 863.122 900.521 933.248 960.929 983.282 1000.11 1011.3 1016.81 1016.69 1011.05 1000.06 983.944 962.998 937.551 907.975 874.677 838.091 798.676 756.906 713.263 668.237 622.314 575.975 529.686 483.9 439.047 395.532
-1.14737e-28 2351.12 9224.55 20089.7 34078.8 50000.6 66342.7 81226.8 92191.1 95089.1 52582.4 33975.2 28052.9 24720.5 22465 20770 19403.6 18245.1 17224.9 16300.6 15444.9 14639.8 13872.9 13135.9 12423.3 11731 11056.9 10399.2 9757.44 9131.33 8521.12 7927.34 7350.73 6792.17 6252.63 5733.1 5234.58 4758.03 4304.34 3874.3 3468.62 3087.84 2732.4 2402.56 2098.46 1820.06 1567.17 1339.43 1136.36 957.309 801.501 668.036 555.896 463.964 391.034 335.828 297.004 273.18 262.94 264.852 277.481 299.404 329.219 365.557 407.095 452.564 500.757 550.537 600.843 650.693 699.192 745.532 788.995 828.955 864.873 896.304 922.889 944.356 960.516 971.26 976.556 976.441 971.021 960.462 944.987 924.871 900.43 872.024 840.043 804.906 767.051 726.933 685.019 641.775 597.67 553.164 508.708 464.735 421.658 379.866
-1.14737e-28 2244.43 8805.93 19178 32532.3 47731.5 63332 77540.7 88007.4 90773.9 50196.2 32433.4 26779.8 23598.6 21445.5 19827.4 18523.1 17417.1 16443.2 15560.9 14744.1 13975.4 13243.3 12539.8 11859.5 11198.7 10555.1 9927.32 9314.66 8716.96 8134.44 7567.61 7017.16 6483.95 5968.89 5472.94 4997.05 4542.12 4109.02 3698.5 3311.22 2947.72 2608.41 2293.54 2003.24 1737.47 1496.05 1278.65 1084.79 913.868 765.131 637.722 530.671 442.91 373.29 320.589 283.527 260.784 251.008 252.834 264.89 285.818 314.279 348.968 388.621 432.027 478.033 525.554 573.576 621.164 667.462 711.699 753.19 791.335 825.623 855.627 881.005 901.497 916.923 927.18 932.234 932.124 926.949 916.869 902.095 882.891 859.559 832.442 801.912 768.368 732.231 693.934 653.921 612.639 570.536 528.05 485.612 443.634 402.512 362.617
-1.14737e-28 2129.39 8354.59 18195.1 30864.9 45285.1 60085.9 73566.4 83496.6 86121.4 47623.4 30771 25407.3 22389.1 20346.4 18811.2 17573.7 16524.4 15600.5 14763.4 13988.4 13259.1 12564.6 11897.1 11251.7 10624.7 10014.1 9418.52 8837.26 8270.2 7717.53 7179.75 6657.52 6151.64 5662.98 5192.45 4740.94 4309.33 3898.43 3508.94 3141.52 2796.65 2474.72 2175.99 1900.57 1648.43 1419.38 1213.12 1029.2 867.032 725.918 605.038 503.474 420.211 354.159 304.158 268.996 247.419 238.144 239.876 251.314 271.169 298.172 331.083 368.704 409.885 453.533 498.618 544.179 589.327 633.252 675.222 714.585 750.775 783.305 811.771 835.847 855.289 869.924 879.653 884.448 884.343 879.432 869.868 855.851 837.63 815.494 789.765 760.799 728.975 694.689 658.355 620.392 581.227 541.281 500.973 460.71 420.884 381.871 344.02
-5.73683e-29 2007.54 7876.53 17153.9 29098.7 42693.8 56647.8 69356.8 78718.9 81193.4 44898.4 29010.3 23953.4 21108 19182.1 17734.8 16568.1 15578.9 14707.8 13918.6 13188 12500.5 11845.6 11216.4 10607.8 10016.8 9441.13 8879.6 8331.61 7796.99 7275.95 6768.94 6276.59 5799.66 5338.96 4895.35 4469.68 4062.76 3675.37 3308.17 2961.77 2636.63 2333.13 2051.49 1791.83 1554.11 1338.17 1143.71 970.312 817.424 684.384 570.42 474.667 396.168 333.895 286.755 253.605 233.262 224.518 226.151 236.935 255.654 281.111 312.139 347.607 386.432 427.583 470.088 513.041 555.606 597.017 636.585 673.696 707.814 738.483 765.319 788.017 806.345 820.142 829.314 833.834 833.733 829.103 820.085 806.87 789.691 768.82 744.563 717.254 687.25 654.926 620.67 584.88 547.955 510.295 472.294 434.335 396.788 360.007 324.324
-5.73683e-29 1880.47 7377.97 16068.1 27256.9 39991.4 53062.1 64966.7 73736.2 76054.1 42056.5 27174 22437.3 19771.9 17968 16612.3 15519.4 14592.8 13776.9 13037.6 12353.2 11709.2 11095.9 10506.4 9936.42 9382.78 8843.55 8317.57 7804.26 7303.48 6815.42 6340.51 5879.32 5432.57 5001.04 4585.5 4186.78 3805.62 3442.74 3098.79 2774.31 2469.75 2185.46 1921.65 1678.42 1455.75 1253.47 1071.32 908.899 765.688 641.068 534.317 444.624 371.094 312.762 268.606 237.554 218.498 210.308 211.837 221.938 239.473 263.319 292.383 325.606 361.973 400.519 440.333 480.568 520.438 559.228 596.291 631.052 663.011 691.737 716.874 738.135 755.302 768.225 776.816 781.048 780.953 776.615 768.167 755.787 739.695 720.145 697.423 671.841 643.736 613.457 581.369 547.844 513.257 477.981 442.385 406.829 371.659 337.207 303.782
-1.14737e-28 1749.78 6865.19 14951.4 25362.5 37212 49374.3 60451.5 68611.5 70768.3 39133.5 25285.4 20877.9 18397.8 16719.2 15457.7 14440.8 13578.6 12819.4 12131.5 11494.7 10895.4 10324.7 9776.25 9245.86 8730.69 8228.94 7739.52 7261.88 6795.91 6341.77 5899.86 5470.73 5055.03 4653.48 4266.83 3895.81 3541.14 3203.49 2883.44 2581.51 2298.11 2033.58 1788.1 1561.78 1354.58 1166.36 996.871 845.735 712.476 596.517 497.185 413.725 345.305 291.027 249.939 221.045 203.314 195.692 197.115 206.514 222.83 245.019 272.063 302.977 336.817 372.683 409.731 447.169 484.268 520.361 554.848 587.193 616.93 643.659 667.048 686.831 702.804 714.828 722.821 726.758 726.669 722.632 714.77 703.249 688.274 670.082 648.939 625.135 598.982 570.807 540.949 509.754 477.57 444.746 411.624 378.539 345.814 313.757 282.656
-0 1617.06 6344.47 13817.3 23438.8 34389.5 45629.3 55866.3 63407.4 65400.6 36165.3 23367.5 19294.3 17002.3 15451.1 14285.3 13345.5 12548.7 11847 11211.4 10622.8 10069.1 9541.6 9034.75 8544.58 8068.5 7604.8 7152.5 6711.09 6280.46 5860.77 5452.38 5055.79 4671.63 4300.53 3943.21 3600.33 3272.56 2960.52 2664.74 2385.71 2123.82 1879.34 1652.48 1443.33 1251.84 1077.9 921.265 781.591 658.439 551.275 459.477 382.346 319.115 268.954 230.983 204.28 187.894 180.85 182.165 190.851 205.93 226.435 251.428 279.997 311.27 344.416 378.654 413.252 447.537 480.892 512.762 542.654 570.134 594.836 616.45 634.731 649.492 660.603 667.989 671.627 671.543 667.811 660.545 649.897 636.057 619.244 599.703 577.704 553.535 527.497 499.903 471.073 441.331 410.996 380.387 349.812 319.569 289.944 261.203
-7.17104e-29 1483.87 5821.91 12679.3 21508.3 31557 41871.1 51264.9 58184.9 60014 33186.6 21442.9 17705.2 15602 14178.5 13108.7 12246.3 11515.1 10871.3 10288 9747.92 9239.75 8755.74 8290.63 7840.84 7403.97 6978.46 6563.42 6158.37 5763.2 5378.08 5003.32 4639.4 4286.87 3946.35 3618.45 3303.81 3003.04 2716.7 2445.28 2189.23 1948.9 1724.56 1516.39 1324.46 1148.74 989.128 845.392 717.222 604.212 505.873 421.635 350.857 292.834 246.804 211.96 187.456 172.419 165.956 167.162 175.133 188.969 207.786 230.721 256.937 285.634 316.05 347.467 379.215 410.676 441.284 470.529 497.958 523.174 545.84 565.674 582.449 595.993 606.188 612.964 616.302 616.224 612.798 606.129 596.358 583.657 568.228 550.296 530.108 507.928 484.034 458.713 432.258 404.965 377.128 349.04 320.984 293.233 266.048 239.675
-1.43421e-29 1351.71 5303.39 11550 19592.7 28746.4 38141.9 46699.1 53002.8 54669 30230.9 19533.2 16128.3 14212.4 12915.7 11941.2 11155.7 10489.6 9903.08 9371.7 8879.76 8416.85 7975.95 7552.27 7142.53 6744.57 6356.96 5978.88 5609.9 5249.94 4899.11 4557.73 4226.22 3905.09 3594.89 3296.2 3009.58 2735.6 2474.75 2227.51 1994.26 1775.34 1570.98 1381.35 1206.51 1046.44 901.04 770.105 653.349 550.403 460.822 384.086 319.611 266.755 224.824 193.083 170.762 157.064 151.176 152.275 159.536 172.14 189.281 210.173 234.054 260.195 287.902 316.521 345.442 374.1 401.981 428.621 453.607 476.577 497.224 515.29 530.57 542.907 552.193 558.365 561.404 561.332 558.21 552.134 543.232 531.662 517.606 501.27 482.88 462.675 440.908 417.842 393.743 368.88 343.523 317.937 292.38 267.101 242.338 218.314
-1.43421e-29 1221.99 4794.43 10441.6 17712.4 25987.7 34481.4 42217.4 47916.2 49422.4 27329.7 17658.6 14580.5 12848.5 11676.2 10795.2 10085.1 9482.92 8952.71 8472.32 8027.59 7609.11 7210.52 6827.5 6457.09 6097.32 5746.91 5405.11 5071.55 4746.13 4428.97 4120.35 3820.66 3530.34 3249.91 2979.88 2720.77 2473.08 2237.27 2013.75 1802.89 1604.97 1420.23 1248.79 1090.73 946.022 814.574 696.204 590.652 497.586 416.601 347.228 288.941 241.157 203.25 174.554 154.375 141.992 136.669 137.662 144.226 155.621 171.117 190.003 211.593 235.225 260.273 286.145 312.29 338.198 363.403 387.486 410.073 430.838 449.502 465.834 479.647 490.799 499.193 504.771 507.518 507.452 504.629 499.135 491.086 480.625 467.917 453.149 436.522 418.256 398.578 377.725 355.938 333.462 310.538 287.408 264.304 241.451 219.065 197.347
-1.43421e-29 1096 4300.1 9364.99 15886.1 23308.2 30926.2 37864.6 42975.8 44326.8 24511.9 15837.9 13077.2 11523.8 10472.3 9682.2 9045.27 8505.21 8029.66 7598.81 7199.93 6824.59 6467.11 6123.58 5791.36 5468.68 5154.4 4847.84 4548.67 4256.8 3972.34 3695.55 3426.75 3166.37 2914.85 2672.66 2440.27 2218.11 2006.61 1806.14 1617.02 1439.51 1273.8 1120.04 978.276 848.49 730.594 624.428 529.758 446.286 373.651 311.43 259.152 216.294 182.295 156.558 138.459 127.353 122.578 123.469 129.357 139.576 153.475 170.414 189.777 210.973 233.438 256.642 280.091 303.328 325.934 347.533 367.791 386.414 403.154 417.801 430.188 440.19 447.717 452.719 455.182 455.122 452.589 447.66 440.44 431.057 419.658 406.412 391.499 375.115 357.466 338.763 319.222 299.063 278.503 257.758 237.036 216.54 196.463 176.985
-1.43421e-29 974.899 3824.98 8330.25 14130.9 20732.9 27509.2 33681 38227.4 39429.1 21803.6 14088 11632.3 10250.5 9315.26 8612.42 8045.87 7565.48 7142.48 6759.23 6404.42 6070.56 5752.57 5447 5151.49 4864.46 4584.91 4312.23 4046.11 3786.49 3533.46 3287.24 3048.15 2816.54 2592.81 2377.38 2170.66 1973.05 1784.91 1606.59 1438.36 1280.47 1133.07 996.298 870.194 754.747 649.877 555.44 471.229 396.98 332.369 277.023 230.52 192.398 162.155 139.261 123.162 113.282 109.036 109.828 115.065 124.155 136.518 151.585 168.809 187.663 207.646 228.286 249.144 269.812 289.92 309.132 327.151 343.716 358.606 371.633 382.651 391.547 398.242 402.69 404.88 404.825 402.571 398.186 391.763 383.415 373.275 361.492 348.226 333.652 317.952 301.315 283.933 266.002 247.714 229.26 210.829 192.598 174.739 157.415
-0 859.717 3373.07 7346.05 12461.3 18283.3 24259.1 29701.7 33710.9 34770.7 19227.5 12423.5 10258 9039.44 8214.7 7594.9 7095.29 6671.65 6298.63 5960.66 5647.77 5353.36 5072.94 4803.47 4542.87 4289.76 4043.24 3802.77 3568.09 3339.14 3116.01 2898.88 2688.04 2483.79 2286.49 2096.51 1914.22 1739.95 1574.05 1416.79 1268.44 1129.19 999.212 878.596 767.391 665.582 573.101 489.821 415.559 350.081 293.103 244.296 203.287 169.668 142.998 122.809 108.612 99.899 96.154 96.8528 101.471 109.487 120.389 133.677 148.865 165.491 183.113 201.315 219.708 237.934 255.666 272.608 288.497 303.104 316.234 327.721 337.437 345.28 351.183 355.105 357.035 356.986 354.997 351.129 345.464 338.102 329.159 318.767 307.068 294.215 280.37 265.698 250.37 234.557 218.429 202.157 185.903 169.827 154.079 138.801
-1.43421e-29 751.312 2947.75 6419.76 10890 15977.9 21200.2 25956.5 29460.2 30386.3 16803.1 10857 8964.52 7899.64 7178.89 6637.25 6200.63 5830.41 5504.43 5209.08 4935.64 4678.35 4433.29 4197.8 3970.07 3748.87 3533.43 3323.28 3118.2 2918.12 2723.12 2533.37 2349.11 2170.62 1998.2 1832.17 1672.86 1520.57 1375.58 1238.15 1108.51 986.819 873.227 767.819 670.635 581.663 500.842 428.062 363.164 305.941 256.148 213.494 177.656 148.275 124.968 107.325 94.9172 87.3031 84.0302 84.6409 88.6766 95.6821 105.209 116.821 130.095 144.624 160.024 175.93 192.003 207.931 223.427 238.232 252.117 264.882 276.355 286.393 294.883 301.736 306.894 310.32 312.006 311.962 310.223 306.842 301.89 295.455 287.639 278.557 268.332 257.1 245 232.178 218.782 204.963 190.869 176.649 162.445 148.396 134.635 121.284
-1.43421e-29 650.381 2551.75 5557.33 9427.09 13831.5 18352.1 22469.5 25502.6 26304.3 14545.8 9398.51 7760.25 6838.42 6214.5 5745.62 5367.66 5047.18 4764.98 4509.31 4272.61 4049.88 3837.75 3633.89 3436.75 3245.27 3058.77 2876.85 2699.32 2526.12 2357.32 2193.06 2033.55 1879.03 1729.78 1586.05 1448.14 1316.31 1190.8 1071.83 959.601 854.26 755.927 664.678 580.549 503.529 433.565 370.561 314.38 264.844 221.739 184.815 153.791 128.357 108.181 92.9076 82.1668 75.5755 72.7422 73.2708 76.7643 82.8287 91.076 101.128 112.618 125.195 138.526 152.295 166.209 179.997 193.41 206.226 218.245 229.294 239.225 247.914 255.263 261.195 265.658 268.624 270.082 270.043 268.536 265.609 261.321 255.75 248.983 241.12 232.269 222.545 212.07 200.97 189.374 177.411 165.211 152.901 140.606 128.445 116.533 104.977
-0 557.452 2187.14 4763.28 8080.11 11855.2 15729.9 19259 21858.7 22545.8 12467.4 8055.62 6651.44 5861.33 5326.56 4924.67 4600.72 4326.03 4084.16 3865.02 3662.14 3471.24 3289.41 3114.68 2945.71 2781.59 2621.74 2465.82 2313.65 2165.19 2020.51 1879.72 1743 1610.56 1482.63 1359.45 1241.24 1128.24 1020.66 918.695 822.498 732.208 647.924 569.713 497.604 431.588 371.62 317.617 269.463 227.005 190.059 158.41 131.818 110.018 92.7245 79.6333 70.4271 64.7775 62.349 62.8019 65.7962 70.9941 78.0629 86.6784 96.5268 107.307 118.733 130.534 142.46 154.277 165.773 176.757 187.058 196.528 205.039 212.486 218.784 223.867 227.692 230.233 231.482 231.447 230.155 227.645 223.969 219.194 213.393 206.653 199.065 190.73 181.752 172.238 162.299 152.045 141.588 131.038 120.5 110.077 99.8672 89.963
-1.43421e-29 472.883 1855.34 4040.66 6854.3 10056.7 13343.6 16337.3 18542.6 19125.5 10576.1 6833.54 5642.38 4972.14 4518.49 4177.58 3902.77 3669.75 3464.57 3278.68 3106.58 2944.64 2790.4 2642.18 2498.84 2359.62 2224.02 2091.75 1962.67 1836.73 1714 1594.57 1478.59 1366.24 1257.72 1153.22 1052.95 957.091 865.832 779.332 697.728 621.134 549.636 483.29 422.119 366.117 315.246 269.436 228.586 192.569 161.227 134.379 111.822 93.3287 78.6583 67.553 59.7433 54.9507 52.8905 53.2747 55.8147 60.2239 66.2203 73.5287 81.8828 91.0273 100.719 110.73 120.846 130.87 140.622 149.939 158.677 166.71 173.929 180.245 185.587 189.898 193.142 195.296 196.355 196.325 195.228 193.098 189.979 185.927 181.005 175.287 168.85 161.78 154.163 146.092 137.66 128.963 120.092 111.143 102.204 93.3625 84.7024 76.3014
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-7.17104e-30 219.739 862.137 1877.61 3185.05 4673.13 6200.5 7591.61 8616.38 8887.25 4914.49 3175.42 2621.91 2310.46 2099.67 1941.25 1813.56 1705.28 1609.94 1523.56 1443.59 1368.34 1296.67 1227.79 1161.19 1096.49 1033.48 972.019 912.036 853.518 796.485 740.987 687.094 634.887 584.457 535.897 489.301 444.757 402.35 362.153 324.232 288.639 255.414 224.583 196.157 170.133 146.493 125.205 106.223 89.4854 74.9209 62.4448 51.9622 43.3687 36.5514 31.3907 27.7616 25.5344 24.5769 24.7553 25.9354 27.984 30.7701 34.1657 38.0472 42.2958 46.7987 51.4496 56.1493 60.806 65.336 69.664 73.7226 77.4534 80.8062 83.7392 86.2191 88.2204 89.7256 90.7245 91.2141 91.198 90.6862 89.6943 88.2433 86.3587 84.0704 81.412 78.42 75.1335 71.5937 67.8432 63.9253 59.884 55.7628 51.605 47.4524 43.3456 39.3232 35.4213
-7.17104e-30 176.854 693.879 1511.17 2563.45 3761.11 4990.39 6110 6934.77 7152.79 3955.36 2555.69 2110.21 1859.55 1689.89 1562.39 1459.62 1372.47 1295.74 1226.22 1161.85 1101.29 1043.61 988.174 934.567 882.499 831.786 782.318 734.042 686.944 641.042 596.375 553 510.982 470.394 431.311 393.808 357.958 323.826 291.475 260.954 232.308 205.567 180.753 157.874 136.929 117.903 100.77 85.4916 72.0208 60.2987 50.2575 41.8208 34.9043 29.4175 25.2641 22.3432 20.5507 19.78 19.9235 20.8733 22.522 24.7642 27.4969 30.6207 34.0399 37.6637 41.4066 45.1887 48.9362 52.5818 56.0646 59.3307 62.3328 65.0307 67.3908 69.3861 70.9963 72.2071 73.0105 73.404 73.3906 72.9782 72.1795 71.0112 69.494 67.6521 65.5122 63.104 60.4588 57.6098 54.5912 51.4381 48.1856 44.8691 41.523 38.1812 34.8764 31.6394 28.4996
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-8.9638e-31 48.7105 191.114 416.217 706.041 1035.9 1374.47 1682.83 1909.98 1970 1089.37 703.871 581.173 512.132 465.401 430.282 401.972 377.967 356.83 337.679 319.949 303.266 287.376 272.107 257.341 242.999 229.03 215.405 202.108 189.137 176.495 164.193 152.248 140.677 129.5 118.738 108.411 98.5398 89.1422 80.2348 71.8319 63.9452 56.5834 49.7522 43.4542 37.6885 32.4512 27.735 23.5297 19.8218 16.5954 13.8317 11.5097 9.60609 8.096 6.95289 6.14901 5.65569 5.4436 5.48311 5.7445 6.19827 6.81541 7.56758 8.4274 9.36858 10.3661 11.3965 12.4378 13.4697 14.4735 15.4327 16.3324 17.1595 17.9031 18.5537 19.104 19.5485 19.8831 20.1057 20.2154 20.2133 20.1013 19.883 19.5629 19.1468 18.6412 18.0535 17.3918 16.6647 15.8814 15.0512 14.1838 13.2889 12.3761 11.455 10.5348 9.62459 8.73289 7.86773
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