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interface #2

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42c9872
Interface
Mar 24, 2024
849d64e
Interface0
Mar 24, 2024
bc5defd
Maxs
Mar 25, 2024
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344 changes: 341 additions & 3 deletions Spline/Interface.py
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Original file line number Diff line number Diff line change
@@ -1,8 +1,42 @@
import ctypes
import sys
import numpy as np
import pyqtgraph as pg
from PyQt5 import QtWidgets
from PyQt5.QtWidgets import *
from PyQt5.QtCore import Qt

Num = 10000
lib = ctypes.CDLL('./lib/bin/spline.so')
lib.get_approximation.restype = ctypes.POINTER(ctypes.c_double)
lib.get_approximation.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_error.restype = ctypes.POINTER(ctypes.c_double)
lib.get_error.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_f.restype = ctypes.POINTER(ctypes.c_double)
lib.get_f.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_f1.restype = ctypes.POINTER(ctypes.c_double)
lib.get_f1.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_f2.restype = ctypes.POINTER(ctypes.c_double)
lib.get_f2.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_s1.restype = ctypes.POINTER(ctypes.c_double)
lib.get_s1.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_s2.restype = ctypes.POINTER(ctypes.c_double)
lib.get_s2.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_derivative_error.restype = ctypes.POINTER(ctypes.c_double)
lib.get_derivative_error.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_second_derivative_error.restype = ctypes.POINTER(ctypes.c_double)
lib.get_second_derivative_error.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32]
lib.get_a.restype = ctypes.POINTER(ctypes.c_double)
lib.get_a.argtypes = [ctypes.c_uint32]
lib.get_b.restype = ctypes.POINTER(ctypes.c_double)
lib.get_b.argtypes = [ctypes.c_uint32]
lib.get_c.restype = ctypes.POINTER(ctypes.c_double)
lib.get_c.argtypes = [ctypes.c_uint32]
lib.get_d.restype = ctypes.POINTER(ctypes.c_double)
lib.get_d.argtypes = [ctypes.c_uint32]
lib.set_spline.argtypes = [ctypes.c_double, ctypes.c_double, ctypes.c_uint32, ctypes.c_int, ctypes.c_double, ctypes.c_double]
lib.free_some.argtypes = [ctypes.c_int]


def setSpline(a: float, b: float, n: int, fun_num: int, mu1: float = 0, mu2: float = 0):
lib.set_spline(a, b, n, fun_num, mu1, mu2)
Expand All @@ -11,9 +45,313 @@ def getApproximation(a: float, b: float, n: int):
ptr = lib.get_approximation(a, b, n)
return ptr[:n]

setSpline(0, 1, 10, 1)
a = getApproximation(0, 1, 10)
print(a)
def getA( n: int):
ptr = lib.get_a(n)
return ptr[:n]

def getB( n: int):
ptr = lib.get_b(n)
return ptr[:n]

def getC(n: int):
ptr = lib.get_c(n)
return ptr[:n]

def getD( n: int):
ptr = lib.get_d(n)
return ptr[:n]

def getError(a: float, b: float, n: int):
ptr = lib.get_error(a, b, n)
return ptr[:n ]

def getDerivativeError(a: float, b: float, n: int):
ptr = lib.get_derivative_error(a, b, n)
return ptr[:n ]

def getSecondDerivativeError(a: float, b: float, n: int):
ptr = lib.get_second_derivative_error(a, b, n)
return ptr[:n ]

def FreeAll():
lib.free_all()

def FreeSome(i: int):
lib.free_some(i)

def getF(a: float, b: float, n: int):
ptr = lib.get_f(a, b, n)
return ptr[:n ]

def getF1(a: float, b: float, n: int):
ptr = lib.get_f1(a, b, n)
return ptr[:n ]

def getF2(a: float, b: float, n: int):
ptr = lib.get_f2(a, b, n)
return ptr[:n ]

def getS1(a: float, b: float, n: int):
ptr = lib.get_s1(a, b, n)
return ptr[:n ]

def getS2(a: float, b: float, n: int):
ptr = lib.get_s2(a, b, n)
return ptr[:n ]

class Window(QMainWindow):

def __init__(self):
super().__init__()

self.setWindowTitle("Сплайны")
self.setGeometry(100, 100, 1850, 1000)

#making graph template
self.plot_widget = pg.PlotWidget(self)
self.plot_widget.setGeometry(460, 10, 1000, 990)
self.plot_widget.showGrid(x=True, y=True, alpha=0.2)
self.plot_widget.setBackground('w')
self.plot_widget.show()

#making tables
self.table1 = QTableWidget(self)
self.table1.setGeometry(0, 350, 450, 650)
self.table1.setColumnCount(10)
self.table1.setHorizontalHeaderLabels(["x", "F(x)", "S(x)","a", "b", "c", "d", "|f(x) - S(x)|", "|f'(x) - S'(x)|", "|f''(x) - S''(x)|"])

self.table2 = QTableWidget(self)
self.table2.setGeometry(1480, 10, 350, 940)
self.table2.setColumnCount(3)
self.table2.setHorizontalHeaderLabels(["x", "F(x)", "error(x)"])

#list of functions
text1 = QtWidgets.QLabel(self)
text1.setText("Функция")
text1.setGeometry(85, 0, 100, 40)
self.combo_box = QComboBox(self)
self.combo_box.addItem("Тестовая")
self.combo_box.addItem("F(x) = sin(exp(x))")
self.combo_box.addItem("F(x) = sin(cos(x))")
self.combo_box.addItem("F(x) = sin(x) / x")
self.combo_box.addItem("F(x) = exp(x - 3)")
self.combo_box.setGeometry(10, 40, 210, 40)

#S"(a) = mu1; S"(b) = mu2
text4 = QtWidgets.QLabel(self)
text4.setText("Граничные условия")
text4.setGeometry(250, 15, 140, 25)
self.line_edit1 = QLineEdit(self)
self.line_edit1.setGeometry(300, 45, 90, 30)
self.line_edit1.setText('0')
self.line_edit2 = QLineEdit(self)
self.line_edit2.setGeometry(300, 85, 90, 30)
self.line_edit2.setText('0')
text2 = QtWidgets.QLabel(self)
text2.setText("S''(a) = ")
text2.setGeometry(240, 45, 70, 30)
text3 = QtWidgets.QLabel(self)
text3.setText("S''(b) = ")
text3.setGeometry(240, 85, 70, 30)

#n
text5 = QtWidgets.QLabel(self)
text5.setText("Число разбиений")
text5.setGeometry(10, 90, 120, 30)
self.line_edit3 = QLineEdit(self)
self.line_edit3.setGeometry(130, 90, 90, 30)
self.line_edit3.setText('10')

#button approximation
self.button = QtWidgets.QPushButton(self)
self.button.setGeometry(240, 125, 200, 30)
self.button.setText("Аппроксимировать")
self.button.clicked.connect(self.Click)

#button clear graph
self.button1 = QtWidgets.QPushButton(self)
self.button1.setGeometry(1500, 960, 150, 30)
self.button1.setText("Очистить график")
self.button1.clicked.connect(self.Clear)

#a, b
text6 = QtWidgets.QLabel(self)
text6.setText("a = ")
text6.setGeometry(10, 130, 30, 30)
self.line_edit4 = QLineEdit(self)
self.line_edit4.setGeometry(40, 130, 60, 30)
self.line_edit4.setText('-1')
text7 = QtWidgets.QLabel(self)
text7.setText("b = ")
text7.setGeometry(110, 130, 30, 30)
self.line_edit5 = QLineEdit(self)
self.line_edit5.setGeometry(140, 130, 60, 30)
self.line_edit5.setText('1')

#list of functions
text8 = QtWidgets.QLabel(self)
text8.setText("График")
text8.setGeometry(45, 160, 100, 30)
self.combo_box2 = QComboBox(self)
self.combo_box2.addItem("F(x), S(x)")
self.combo_box2.addItem("F'(x), S'(x)")
self.combo_box2.addItem("F''(x), S''(x)")
self.combo_box2.setGeometry(10, 190, 120, 30)

#maxs
text9 = QtWidgets.QLabel(self)
text9.setText("max |F(x) - S(x)| = ")
text9.setGeometry(10, 230, 120, 30)
self.text9_1 = QtWidgets.QLabel(self)
self.text9_1.setStyleSheet('background-color: white;')
self.text9_1.setGeometry(130, 230, 120, 30)
text9_2 = QtWidgets.QLabel(self)
text9_2.setText(" в x =")
text9_2.setGeometry(260, 230, 40, 30)
self.text9_3 = QtWidgets.QLabel(self)
self.text9_3.setStyleSheet('background-color: white;')
self.text9_3.setGeometry(310, 230, 100, 30)

text10 = QtWidgets.QLabel(self)
text10.setText("max |F'(x) - S'(x)| = ")
text10.setGeometry(10, 270, 120, 30)
self.text10_1 = QtWidgets.QLabel(self)
self.text10_1.setStyleSheet('background-color: white;')
self.text10_1.setGeometry(135, 270, 120, 30)
text10_2 = QtWidgets.QLabel(self)
text10_2.setText(" в x =")
text10_2.setGeometry(265, 270, 40, 30)
self.text10_3 = QtWidgets.QLabel(self)
self.text10_3.setStyleSheet('background-color: white;')
self.text10_3.setGeometry(315, 270, 100, 30)

text11 = QtWidgets.QLabel(self)
text11.setText("max |F''(x) - S''(x)| = ")
text11.setGeometry(10, 310, 130, 30)
self.text11_1 = QtWidgets.QLabel(self)
self.text11_1.setStyleSheet('background-color: white;')
self.text11_1.setGeometry(140, 310, 120, 30)
text11_2 = QtWidgets.QLabel(self)
text11_2.setText(" в x =")
text11_2.setGeometry(270, 310, 40, 30)
self.text11_3 = QtWidgets.QLabel(self)
self.text11_3.setStyleSheet('background-color: white;')
self.text11_3.setGeometry(320, 310, 100, 30)

def Clear(self):
self.plot_widget.clear()

def Click(self):
mu1 = (float)(self.line_edit1.text())
mu2 = (float)(self.line_edit2.text())
n = (int)(self.line_edit3.text())
fun_num = self.combo_box.currentIndex()
a = (float)(self.line_edit4.text())
b = (float)(self.line_edit5.text())
N = Num*(int)(abs(b-a))
setSpline(a, b, n, fun_num, mu1, mu2)
x_vals = np.linspace(a, b, N)
if (self.combo_box2.currentIndex() == 0):
s = getApproximation(a, b, N)
f = getF(a, b, N)
error = getError(a, b, N)
elif (self.combo_box2.currentIndex() == 1):
s = getS1(a, b, N)
f = getF1(a, b, N)
error = getDerivativeError(a, b, N)
else :
s = getS2(a, b, N)
f = getF2(a, b, N)
error = getSecondDerivativeError(a, b, N)
self.plot_widget.plot(x_vals, error, pen = 'r')
self.plot_widget.plot(x_vals, s, pen = 'b')
self.plot_widget.plot(x_vals, f, pen = 'g')
self.plot_widget.show()

self.table2.clearContents()
self.table2.setRowCount(0)
if (self.combo_box2.currentIndex() == 0):
self.table2.setHorizontalHeaderLabels(["x", "F(x)", "S(x)"])
elif (self.combo_box2.currentIndex() == 1):
self.table2.setHorizontalHeaderLabels(["x", "F'(x)", "S'(x)"])
else:
self.table2.setHorizontalHeaderLabels(["x", "F''(x)", "S''(x)"])

for i in range(N):
self.table2.insertRow(i)
itemx = QTableWidgetItem()
itemx.setData(Qt.DisplayRole, "{:.9f}".format(x_vals[i]) )
self.table2.setItem(i, 0, itemx)
itemf = QTableWidgetItem()
itemf.setData(Qt.DisplayRole, "{:.9f}".format(f[i]) )
self.table2.setItem(i, 1, itemf)
items = QTableWidgetItem()
items.setData(Qt.DisplayRole, "{:.9f}".format(s[i]) )
self.table2.setItem(i, 2, items)

FreeSome(self.combo_box2.currentIndex())

self.table1.clearContents()
self.table1.setRowCount(0)
s = getApproximation(a, b, n)
x_vals = np.linspace(a, b, n)
f = getF(a, b, n)
error = getError(a, b, n)
error1 = getDerivativeError(a, b, n)
error2 = getSecondDerivativeError(a, b, n)
max_ind0 = error.index(max(error))
max_ind1 = error1.index(max(error1))
max_ind2 = error2.index(max(error2))
self.text9_1.setText("{:.3e}".format(error[max_ind0]))
self.text9_3.setText("{:.9f}".format(x_vals[max_ind0]))
self.text10_1.setText("{:.3e}".format(error1[max_ind1]))
self.text10_3.setText("{:.9f}".format(x_vals[max_ind1]))
self.text11_1.setText("{:.3e}".format(error2[max_ind2]))
self.text11_3.setText("{:.9f}".format(x_vals[max_ind2]))
av = getA(n)
bv = getB(n)
cv = getC(n)
dv = getD(n)
for i in range(n):
self.table1.insertRow(i)
item1 = QTableWidgetItem()
item1.setData(Qt.DisplayRole, "{:.9f}".format(x_vals[i]) )
self.table1.setItem(i, 0, item1)
item2 = QTableWidgetItem()
item2.setData(Qt.DisplayRole, "{:.9f}".format(f[i]) )
self.table1.setItem(i, 1, item2)
item3 = QTableWidgetItem()
item3.setData(Qt.DisplayRole, "{:.9f}".format(s[i]) )
self.table1.setItem(i, 2, item3)
item4 = QTableWidgetItem()
item4.setData(Qt.DisplayRole, "{:.9f}".format(av[i]) )
self.table1.setItem(i, 3, item4)
item5 = QTableWidgetItem()
item5.setData(Qt.DisplayRole, "{:.9f}".format(bv[i]) )
self.table1.setItem(i, 4, item5)
item6 = QTableWidgetItem()
item6.setData(Qt.DisplayRole, "{:.9f}".format(cv[i]) )
self.table1.setItem(i, 5, item6)
item7 = QTableWidgetItem()
item7.setData(Qt.DisplayRole, "{:.9f}".format(dv[i]) )
self.table1.setItem(i, 6, item7)
item8 = QTableWidgetItem()
item8.setData(Qt.DisplayRole, "{:.3e}".format(error[i]) )
self.table1.setItem(i, 7, item8)
item9 = QTableWidgetItem()
item9.setData(Qt.DisplayRole, "{:.3e}".format(error1[i]) )
self.table1.setItem(i, 8, item9)
item10 = QTableWidgetItem()
item10.setData(Qt.DisplayRole, "{:.3e}".format(error2[i]) )
self.table1.setItem(i, 9, item10)
FreeAll()





if __name__ == '__main__':
app = QApplication(sys.argv)
window = Window()
window.show()
sys.exit(app.exec_())
Binary file modified Spline/lib/bin/spline.so
100644 → 100755
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4 changes: 2 additions & 2 deletions Spline/lib/include/TMA.h
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Original file line number Diff line number Diff line change
Expand Up @@ -2,7 +2,7 @@
#define __TMA__

#include "root.h"

class TMA {
private:
std::vector<FP> v; // Numerical solution
Expand Down Expand Up @@ -46,7 +46,7 @@ void TMA::run(std::pair<FP, FP> boundaries, std::vector<FP> f) {
// Reverse running
v[n] = mu2;
for (size_t i = n - 1; i > 0; i--) {
v[i] = alpha[i] * v[i] + beta[i];
v[i] = alpha[i] * v[i + 1] + beta[i];
}
v[0] = mu1;
}
Expand Down
2 changes: 1 addition & 1 deletion Spline/lib/include/root.h
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Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
#ifndef __ROOT__
#define __ROOT__

#include <cstdint>
#include <functional>
#include <vector>
Expand Down
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