259 lines
7.6 KiB
Python
259 lines
7.6 KiB
Python
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# -*- coding: utf-8 -*-
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import numpy as np
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import matplotlib.pyplot as plt
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import csv
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from scipy.optimize import curve_fit
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def read_csv(file_name):
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with open(file_name) as file:
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reader = list(csv.reader(file, delimiter=';',
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quotechar=',', quoting=csv.QUOTE_MINIMAL))
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return reader
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def make_latex_table(data):
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table = []
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table.append("\\begin{table}".replace('//', '\\'))
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table.append("\label{}".replace('/', '\\'))
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table.append('\caption{}'.replace('/', '\\'))
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leng = len(data[0])
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stroka = 'c'.join(['|' for _ in range(leng+1)])
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table.append('\\begin{tabular}{'.replace('//', '\\')+stroka+'}')
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table.append('\hline')
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for i in range(len(data)):
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table.append(' & '.join(data[i]) + ' \\\\')
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table.append('\hline')
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table.append("\end{tabular}".replace('/', '\\'))
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table.append("\end{table}".replace('/', '\\'))
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return table
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def make_point_grafic(x, y, xlabel, ylabel, caption, xerr, yerr,
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subplot=None, color=None, center=None, s=15):
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if not subplot:
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subplot = plt
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if type(yerr) == float or type(yerr) == int:
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yerr = [yerr for _ in y]
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if type(xerr) == float or type(xerr) == int:
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xerr = [xerr for _ in x]
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if xerr[1] != 0 or yerr[1] != 0:
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subplot.errorbar(x, y, yerr=yerr, xerr=xerr, linewidth=4,
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linestyle='', label=caption, color=color,
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ecolor=color, elinewidth=1, capsize=3.4,
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capthick=1.4)
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else:
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subplot.scatter(x, y, linewidth=0.005, label=caption,
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color=color, edgecolor='black', s=s)
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# ax = plt.subplots()
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# ax.grid())
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if not center:
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plt.xlabel(xlabel)
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plt.ylabel(ylabel)
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else:
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ax = plt.gca()
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ax.spines['top'].set_visible(False)
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ax.spines['right'].set_visible(False)
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ax.spines['bottom'].set_position('zero')
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ax.spines['left'].set_position('zero')
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ax.set_xlabel(ylabel, labelpad=-180, fontsize=14) # +
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ax.set_ylabel(xlabel, labelpad=-260, rotation=0, fontsize=14)
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def make_line_grafic(xmin, xmax, xerr, yerr, xlabel, ylabel, k, b, caption,
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subplot=None, color=None, linestyle='-'):
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if not subplot:
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subplot = plt
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x = np.arange(xmin, xmax, (xmax-xmin)/10000)
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subplot.plot(x, k*x+b, label=caption, color=color, linewidth=1.4,
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linestyle=linestyle)
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def make_graffic(x, y, xlabel, ylabel, caption_point, xerr, yerr, k=None,
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b=None, filename=None, color=None, koef=[0.9, 1.1], s=None):
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if not color:
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color = ['limegreen', 'indigo']
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if not s:
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make_point_grafic(x, y, xlabel=xlabel,
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ylabel=ylabel, caption=caption_point,
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xerr=xerr, yerr=yerr, subplot=plt, color=color[0])
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else:
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make_point_grafic(x, y, xlabel=xlabel,
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ylabel=ylabel, caption=caption_point,
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xerr=xerr, yerr=yerr, subplot=plt, color=color[0], s=s)
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if k and b:
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make_line_grafic(xmin=min(x)-1, xmax=max(x)+1, xerr=xerr, yerr=yerr,
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xlabel='', ylabel='', k=k, b=b,
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caption='Theoretical dependence', subplot=plt,
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color='red')
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if type(yerr) == float or type(yerr) == int:
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yerr = [yerr for _ in y]
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k, b, sigma = approx(x, y, b, yerr)
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sigma[0] = abs(k*((sigma[0]/k)**2+(np.mean(yerr)/np.mean(y))**2 +
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(np.mean(xerr)/np.mean(x))**2)**0.5)
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if (b != 0):
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sigma[1] = abs(b*((sigma[1]/b)**2+(np.mean(yerr)/np.mean(y))**2 +
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(np.mean(xerr)/np.mean(x))**2)**0.5)
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else:
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sigma[1] = 0
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make_line_grafic(xmin=min(x)*koef[0], xmax=max(x)*koef[1], xerr=xerr,
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yerr=yerr, xlabel='', ylabel='', k=k, b=b, caption=None,
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subplot=plt, color=color[1])
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plt.legend()
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return k, b, sigma
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def approx(x, y, b, sigma_y, f=None):
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if sigma_y[0] != 0:
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sigma_y = [1/i**2 for i in sigma_y]
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else:
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sigma_y = np.array([1 for _ in y])
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if f is None:
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if b == 0:
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def f(x, k):
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return k*x
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k, sigma = curve_fit(f, xdata=x, ydata=y, sigma=sigma_y)
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sigma = np.sqrt(np.diag(sigma))
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return k, b, [sigma, 0]
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else:
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def f(x, k, b):
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return x*k + b
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k, sigma = curve_fit(f, xdata=x, ydata=y, sigma=sigma_y)
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sigma_b = np.sqrt(sigma[1][1])
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b = k[1]
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k = k[0]
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sigma = np.sqrt(sigma[0][0])
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return k, b, [sigma, sigma_b]
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else:
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k, sigma = curve_fit(f, xdata=x, ydata=y, sigma=sigma_y)
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sigma = np.sqrt(np.diag(sigma))
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b = k[1]
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k = k[0]
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return k, b, sigma
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def find_delivation(data):
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data = np.array(data).astype(np.float)
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s = sum(data)/len(data)
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su = 0
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for i in data:
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su += (i-s)**2
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return (su/(len(data)-1))**0.5
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def make_dic(filename):
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data = np.array(read_csv(filename))
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data = np.transpose(data)
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dic = {}
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for i in range(len(data)):
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dic[data[i][0]] = np.array(data[i][1:]).astype(np.float)
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data = dic
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return data
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def make_fun(A0, T):
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def f(t, k, b):
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return A0/(1+A0*b*t)-k*0*A0*t/T
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return f
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def make_fun_grafic(xmin, xmax, xerr, yerr, xlabel, ylabel, f, k, b, caption,
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subplot=None, color=None):
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if not subplot:
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subplot = plt
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x = np.arange(xmin, xmax, (xmax-xmin)/10000)
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subplot.plot(x, f(x, k, b), label=caption, color=color)
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def make_all():
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part_1_1()
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part_1_2()
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part_2()
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part_3()
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def part_1_1():
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plt.figure(dpi=500, figsize=(8, 5))
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data = make_dic("dnu(tau).csv")
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x = 1 / data["tau"]*100
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y = data['d_nu']/10**4
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xlabel = "1/"+greek_letters[48]+'$,10^4$Гц'
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ylabel = greek_letters[0]+greek_letters[41]+'$,10^4$ Гц'
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k, b, sigma = make_graffic(x, y, xlabel, ylabel,
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caption_point='', xerr=0, yerr=0, s=40)
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print(k, sigma[0])
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plt.savefig("dnu(tau)")
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plt.show()
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def part_1_2():
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fig, ax = plt.subplots(figsize=(10, 6))
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data = make_dic("a(n).csv")
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v = 1000
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t = 50 * 10 **- 6
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T = 1 / v
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N = 200
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V0 = 300
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vu = [n/T for n in range(2, N)]
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c = [abs(V0*t/T*np.sin(n*t*np.pi/T)/(n*t*np.pi/T)) for n in range(2, N)]
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for i in range(len(vu)):
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plt.scatter(vu[i], c[i], linewidth=0.005, label='',
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color='purple', s=15)
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ax.vlines(vu[i], 0, c[i], colors='purple')
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ax.set_xlabel(greek_letters[41]+', Hz')
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ax.set_ylabel("$a_n$, мВ")
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plt.savefig("a(n)")
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plt.show()
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def part_2():
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plt.figure(dpi=500, figsize=(8, 5))
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data = make_dic("T(dnu).csv")
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x = 1 / data["T"]*10**3
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y = data['dnu']
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xlabel = "1/"+greek_letters[48]+'$, $Гц'
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ylabel = greek_letters[0]+greek_letters[41]+'$,10^4$ Гц'
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k, b, sigma = make_graffic(x, y, xlabel, ylabel,
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caption_point='', xerr=0, yerr=0, s=40)
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print(k, sigma[0], -sigma[0]/k*100)
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plt.savefig("T(dnu)")
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plt.show()
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def part_3():
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plt.figure(dpi=500, figsize=(8, 5))
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data = make_dic("a(m).csv")
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otn = data['a_b']/data['a_c']
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k, b, sigma = make_graffic(data['m']/100, otn, 'm', '$а_{бок}/a_{осн}$',
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caption_point='', xerr=0, yerr=0, s=40)
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print(k, sigma[0])
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plt.savefig("a(m)")
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plt.show()
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greek_letters=[chr(code) for code in range(916,980)]
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print(greek_letters)
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make_all()
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