mirror of
https://github.com/UpsilonNumworks/Upsilon.git
synced 2026-01-19 00:37:25 +01:00
110 lines
3.6 KiB
C++
110 lines
3.6 KiB
C++
#include "trigonometric_model.h"
|
|
#include <apps/regression/store.h>
|
|
#include "../../shared/poincare_helpers.h"
|
|
#include <poincare/addition.h>
|
|
#include <poincare/layout_helper.h>
|
|
#include <poincare/multiplication.h>
|
|
#include <poincare/number.h>
|
|
#include <poincare/power.h>
|
|
#include <poincare/preferences.h>
|
|
#include <poincare/sine.h>
|
|
#include <poincare/symbol.h>
|
|
#include <math.h>
|
|
#include <assert.h>
|
|
|
|
using namespace Poincare;
|
|
using namespace Shared;
|
|
|
|
namespace Regression {
|
|
|
|
static double toRadians(Poincare::Preferences::AngleUnit angleUnit) {
|
|
switch (Poincare::Preferences::sharedPreferences()->angleUnit()) {
|
|
case Poincare::Preferences::AngleUnit::Degree:
|
|
return M_PI/180.0;
|
|
case Poincare::Preferences::AngleUnit::Gradian:
|
|
return M_PI/200.0;
|
|
default:
|
|
return 1;
|
|
}
|
|
}
|
|
|
|
Layout TrigonometricModel::layout() {
|
|
if (m_layout.isUninitialized()) {
|
|
const char * s = "a·sin(b·X+c)+d";
|
|
m_layout = LayoutHelper::String(s, strlen(s), k_layoutFont);
|
|
}
|
|
return m_layout;
|
|
}
|
|
|
|
double TrigonometricModel::evaluate(double * modelCoefficients, double x) const {
|
|
double a = modelCoefficients[0];
|
|
double b = modelCoefficients[1];
|
|
double c = modelCoefficients[2];
|
|
double d = modelCoefficients[3];
|
|
double radianX = x * toRadians(Poincare::Preferences::sharedPreferences()->angleUnit());
|
|
return a*sin(b*radianX+c)+d;
|
|
}
|
|
|
|
double TrigonometricModel::partialDerivate(double * modelCoefficients, int derivateCoefficientIndex, double x) const {
|
|
if (derivateCoefficientIndex == 3) {
|
|
// Derivate with respect to d: 1
|
|
return 1.0;
|
|
}
|
|
|
|
double a = modelCoefficients[0];
|
|
double b = modelCoefficients[1];
|
|
double c = modelCoefficients[2];
|
|
double radianX = x * toRadians(Poincare::Preferences::sharedPreferences()->angleUnit());
|
|
|
|
if (derivateCoefficientIndex == 0) {
|
|
// Derivate with respect to a: sin(b*x+c)
|
|
return sin(b * radianX + c);
|
|
}
|
|
if (derivateCoefficientIndex == 1) {
|
|
// Derivate with respect to b: x*a*cos(b*x+c);
|
|
return radianX * a * cos(b * radianX + c);
|
|
}
|
|
assert(derivateCoefficientIndex == 2);
|
|
// Derivatewith respect to c: a*cos(b*x+c)
|
|
return a * cos(b * radianX + c);
|
|
}
|
|
|
|
void TrigonometricModel::specializedInitCoefficientsForFit(double * modelCoefficients, double defaultValue, Store * store, int series) const {
|
|
assert(store != nullptr && series >= 0 && series < Store::k_numberOfSeries && !store->seriesIsEmpty(series));
|
|
for (int i = 1; i < k_numberOfCoefficients - 1; i++) {
|
|
modelCoefficients[i] = defaultValue;
|
|
}
|
|
/* We try a better initialization than the default value. We hope that this
|
|
* will improve the gradient descent to find correct coefficients.
|
|
*
|
|
* Init the "amplitude" coefficient. We take twice the standard deviation,
|
|
* because for a normal law, this interval contains 99.73% of the values. We
|
|
* do not take half of the apmlitude of the series, because this would be too
|
|
* dependant on outliers. */
|
|
modelCoefficients[0] = 3.0*store->standardDeviationOfColumn(series, 1);
|
|
// Init the "y delta" coefficient
|
|
modelCoefficients[k_numberOfCoefficients - 1] = store->meanOfColumn(series, 1);
|
|
}
|
|
|
|
Expression TrigonometricModel::expression(double * modelCoefficients) {
|
|
double a = modelCoefficients[0];
|
|
double b = modelCoefficients[1];
|
|
double c = modelCoefficients[2];
|
|
double d = modelCoefficients[3];
|
|
// a*sin(bx+c)+d
|
|
Expression result =
|
|
Addition::Builder(
|
|
Multiplication::Builder(
|
|
Number::DecimalNumber(a),
|
|
Sine::Builder(
|
|
Addition::Builder(
|
|
Multiplication::Builder(
|
|
Number::DecimalNumber(b),
|
|
Symbol::Builder('x')),
|
|
Number::DecimalNumber(c)))),
|
|
Number::DecimalNumber(d));
|
|
return result;
|
|
}
|
|
|
|
}
|