From 4cdf4ebc088dd43731dc4b2e4604e253dab9d3e0 Mon Sep 17 00:00:00 2001 From: KUB0570 Date: Sun, 9 Mar 2025 11:33:42 +0100 Subject: [PATCH] first commit --- .idea/.gitignore | 8 ++ .../inspectionProfiles/profiles_settings.xml | 6 ++ .idea/misc.xml | 7 ++ .idea/modules.xml | 8 ++ .idea/pythonProject1.iml | 10 ++ .idea/ruff.xml | 6 ++ .idea/vcs.xml | 6 ++ EVM.py | 28 +++++ FFT.py | 47 +++++++++ Fourier.py | 35 +++++++ ITDT/Feng_wind.jpg | Bin 0 -> 11245 bytes ITDT/Gabor.py | 99 ++++++++++++++++++ ITDT/discord-logo.png | Bin 0 -> 6479 bytes ITDT/fourier/cr10.png | Bin 0 -> 39528 bytes ITDT/fourier/cr20.png | Bin 0 -> 36732 bytes ITDT/fourier/cr30.png | Bin 0 -> 35316 bytes ITDT/fourier/cr5.png | Bin 0 -> 40140 bytes ITDT/fourier/fourier.py | 62 +++++++++++ ITDT/fourier/fr10.png | Bin 0 -> 56461 bytes ITDT/fourier/fr20.png | Bin 0 -> 49534 bytes ITDT/fourier/fr30.png | Bin 0 -> 49036 bytes ITDT/fourier/fr5.png | Bin 0 -> 59124 bytes ITDT/fourier/sinus_cosinus.py | 78 ++++++++++++++ ITDT/fourier/sr10.png | Bin 0 -> 39238 bytes ITDT/fourier/sr20.png | Bin 0 -> 37564 bytes ITDT/fourier/sr30.png | Bin 0 -> 33571 bytes ITDT/fourier/sr5.png | Bin 0 -> 40837 bytes ITDT/jjj.py | 31 ++++++ ITDT/vasledky/f0.2.png | Bin 0 -> 98857 bytes ITDT/vasledky/f0.3.png | Bin 0 -> 91165 bytes ITDT/vasledky/f0.4.png | Bin 0 -> 86386 bytes ITDT/vasledky/s10.png | Bin 0 -> 144019 bytes ITDT/vasledky/s2.png | Bin 0 -> 105581 bytes ITDT/vasledky/s5.png | Bin 0 -> 132208 bytes ITDT/vazka.png | Bin 0 -> 315137 bytes convolution1D.py | 39 +++++++ convolution2D.py | 40 +++++++ fractal.py | 95 +++++++++++++++++ main.py | 34 ++++++ 39 files changed, 639 insertions(+) create mode 100644 .idea/.gitignore create mode 100644 .idea/inspectionProfiles/profiles_settings.xml create mode 100644 .idea/misc.xml create mode 100644 .idea/modules.xml create mode 100644 .idea/pythonProject1.iml create mode 100644 .idea/ruff.xml create mode 100644 .idea/vcs.xml create mode 100644 EVM.py create mode 100644 FFT.py create mode 100644 Fourier.py create mode 100644 ITDT/Feng_wind.jpg create mode 100644 ITDT/Gabor.py create mode 100644 ITDT/discord-logo.png create mode 100644 ITDT/fourier/cr10.png create mode 100644 ITDT/fourier/cr20.png create mode 100644 ITDT/fourier/cr30.png create mode 100644 ITDT/fourier/cr5.png create mode 100644 ITDT/fourier/fourier.py create mode 100644 ITDT/fourier/fr10.png create mode 100644 ITDT/fourier/fr20.png create mode 100644 ITDT/fourier/fr30.png create mode 100644 ITDT/fourier/fr5.png create mode 100644 ITDT/fourier/sinus_cosinus.py create mode 100644 ITDT/fourier/sr10.png create mode 100644 ITDT/fourier/sr20.png create mode 100644 ITDT/fourier/sr30.png create mode 100644 ITDT/fourier/sr5.png create mode 100644 ITDT/jjj.py create mode 100644 ITDT/vasledky/f0.2.png create mode 100644 ITDT/vasledky/f0.3.png create mode 100644 ITDT/vasledky/f0.4.png create mode 100644 ITDT/vasledky/s10.png create mode 100644 ITDT/vasledky/s2.png create mode 100644 ITDT/vasledky/s5.png create mode 100644 ITDT/vazka.png create mode 100644 convolution1D.py create mode 100644 convolution2D.py create mode 100644 fractal.py create mode 100644 main.py diff --git a/.idea/.gitignore b/.idea/.gitignore new file mode 100644 index 0000000..13566b8 --- /dev/null +++ b/.idea/.gitignore @@ -0,0 +1,8 @@ +# Default ignored files +/shelf/ +/workspace.xml +# Editor-based HTTP Client requests +/httpRequests/ +# Datasource local storage ignored files +/dataSources/ +/dataSources.local.xml diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml new file mode 100644 index 0000000..105ce2d --- /dev/null +++ b/.idea/inspectionProfiles/profiles_settings.xml @@ -0,0 +1,6 @@ + + + + \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml new file mode 100644 index 0000000..d70587c --- /dev/null +++ b/.idea/misc.xml @@ -0,0 +1,7 @@ + + + + + + \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml new file mode 100644 index 0000000..fdd8fdf --- /dev/null +++ b/.idea/modules.xml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/pythonProject1.iml b/.idea/pythonProject1.iml new file mode 100644 index 0000000..60a3679 --- /dev/null +++ b/.idea/pythonProject1.iml @@ -0,0 +1,10 @@ + + + + + + + + + + \ No newline at end of file diff --git a/.idea/ruff.xml b/.idea/ruff.xml new file mode 100644 index 0000000..dc7b5c1 --- /dev/null +++ b/.idea/ruff.xml @@ -0,0 +1,6 @@ + + + + + \ No newline at end of file diff --git a/.idea/vcs.xml b/.idea/vcs.xml new file mode 100644 index 0000000..94a25f7 --- /dev/null +++ b/.idea/vcs.xml @@ -0,0 +1,6 @@ + + + + + + \ No newline at end of file diff --git a/EVM.py b/EVM.py new file mode 100644 index 0000000..a1d2b11 --- /dev/null +++ b/EVM.py @@ -0,0 +1,28 @@ +import random + + +N = 100000 +TA = 3000 +TB = 6000 +T1 = 1200 +T2 = 1500 +k = 4548 + +A = random.randint(0, N) +B = N - A +Na = k*10-B/2 +Nb = (k-0.1*A)/0.05 + +print(f"A: {A}, B: {B}") +print(f"A: {Na}, B: {Nb}") + +# pravděpodobnost rozpadu jednotlivých prvků v intervalu T1,T2 +RA = (T2-T1)/TA # 0.1 +RB = (T2-T1)/TB # 0.05 + +# počet rozpadlých atomů v intervalu +NB = 2*k/3 # 3032 +NA = k-NB # 1516 + +print(RA, RB) +print(NB, k-NB) diff --git a/FFT.py b/FFT.py new file mode 100644 index 0000000..a40d3c6 --- /dev/null +++ b/FFT.py @@ -0,0 +1,47 @@ +# DFT vs FFT - porovnani casu +from cmath import exp, pi +import numpy as np +import time + + +def fft(f): + N = len(f) + + if N <= 1: + return f + + even = fft(f[0::2]) + odd = fft(f[1::2]) + + T = [exp(-2j * pi * k / N) * odd[k] for k in range(N // 2)] + + return [even[k] + T[k] for k in range(N // 2)] + [even[k] - T[k] for k in range(N // 2)] + + +def dft(f): + N = len(f) + result = [0] * N + + for i in range(N): + for j in range(N): + result[i] += f[j] * exp(-2j * pi * i * j / N) + return result + + +print("i, 2**i DFT, FFT, numpy") +for i in range(10, 21): + f = [1] * 2**i + start_time_D = end_time_D = 0 + if i < 15: + start_time_D = time.time() + dft(f) + end_time_D = time.time() + + start_time_F = time.time() + fft(f) + end_time_F = time.time() + + start_time_N = time.time() + np.fft.fft(f) + end_time_N = time.time() + print(i, 2**i, end_time_D - start_time_D, end_time_F - start_time_F, end_time_N - start_time_N) diff --git a/Fourier.py b/Fourier.py new file mode 100644 index 0000000..0e701fa --- /dev/null +++ b/Fourier.py @@ -0,0 +1,35 @@ +import numpy as np +import matplotlib.pyplot as plt + +# Délka jedné periody +T = 2 + +# Počet period před a po intervalu +num_periods = 3 + +# Definice intervalu t pro funkci <0, 1/2) +t1 = np.linspace(0, 0.5, 100) + +# Definice intervalu t pro funkci <1/2, 2) +t2 = np.linspace(0.5, 2, 100) + +# Vytvořte pole hodnot f(t) pro první interval +f1 = 1 + np.exp(-t1) + +# Vytvořte pole hodnot f(t) pro druhý interval a posuňte ho tak, aby měl hodnotu 2 v bodech vzdálených o násobek periody T = 2 +f2 = 1 + np.exp(-t2 - T * num_periods) + +# Vykreslete první část funkce +plt.plot(t1, f1, label='1+exp(-t)', color='blue') + +# Vykreslete druhou část funkce +plt.plot(t2, f2, label='1+exp(-t) shifted', color='blue') + +# Nastavte osy a přidejte popisky +plt.xlabel('t') +plt.ylabel('f(t)') +plt.title('Graf funkce f(t) s posunutím') +plt.legend() + +# Zobrazte graf +plt.show() \ No newline at end of file diff --git a/ITDT/Feng_wind.jpg b/ITDT/Feng_wind.jpg new file mode 100644 index 0000000000000000000000000000000000000000..8187cb779676b12ab1277d3f15957dcc1f17800b GIT binary patch literal 11245 zcmcI}cUY54^Y(+-070cm$0JP$MIrPiM**o3ksd&)(t8hJ=LiByfJlwhP$ZGwL8OK% zgx(?aCIkY6`o;79j>q@?|Jz(wGS_CGo%^0=cXnp>bog`{xT2}1p$1S;000H~1Du`! z+;`nv+&yi*ylic*TLoNqbhot^@wB!6zs}P!;4VOQ{`|%B=cq1TxJXS!MNP|0M|s z^7=0wWC1@L{o}?XIPu=I-+O<__cAk>=k~R_ifJZl^?J*iJtL~5C+n>)$2;nHp{vTA zvo5h5CLSyC3w-EzY5pKBmMjvj^fo0$KF=)dOtUls@K6ez4B2M-smBBYqASXPUyS)>bcY4ZHhG_iq9nIwV9XB|@Iy9O?dIF}~|+ 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for n in range(1, n_max + 1)] + for a, b, c in zip(pa_coeffs, pb_coeffs, pc_coeffs): + print(f"n= {a[1]}") + print(f"a= {a[0]:.2f}") + print(f"b= {b[0]:.2f}") + print(f"A= {(a[0]**2+b[0]**2)**(1/2):.2f}") + print(f"c_n= {np.absolute(c[0]):.2f}") + print(f"phi= {np.angle(float(a[0])+float(b[0])*1j, deg=True):.2f}") + +def calculate_coefficients(n_max): + a_0 = (2 / T) * sp.integrate(f, (t, 0, to)) + a_coeffs = [((2 / T) * sp.integrate(f * sp.cos(n * omega * t), (t, 0, to)), n) for n in range(1, n_max + 1)] + b_coeffs = [((2 / T) * sp.integrate(f * sp.sin(n * omega * t), (t, 0, to)), n) for n in range(1, n_max + 1)] + return a_0, a_coeffs, b_coeffs + +def fourier_series(x, a_0, a_coeffs, b_coeffs): + series = a_0 / 2 + for a_n, n in a_coeffs: + series += a_n * sp.cos(n * omega * x) + for b_n, n in b_coeffs: + series += b_n * sp.sin(n * omega * x) + return series + + +for n_max in [5, 10, 20, 30]: + a_0, a_coeffs, b_coeffs = calculate_coefficients(n_max) + + # Definujte interval pro vykreslení + t_values = np.linspace(-4, 6, 200) + + # Výpočet Fourierovy řady a vykreslení + fourier = [fourier_series(x, a_0, a_coeffs, b_coeffs) for x in t_values] + original = [fc(x%T) if (x%T) < to else 0 for x in t_values] + plt.plot(t_values, original, label="f(t)") + plt.plot(t_values, fourier, label="FŘ") + plt.title(f"n={n_max}") + plt.legend() + plt.xlabel("t") + plt.ylabel("f(t)") + plt.show() diff --git a/ITDT/fourier/fr10.png b/ITDT/fourier/fr10.png new file mode 100644 index 0000000000000000000000000000000000000000..34173d9e855e6aaeafe2c49f11eb8c738e1dc5fd GIT binary patch literal 56461 zcmeFYRa72Zur(SycyNah+}$lW1b26LclQMM;OySks+u*cYRL~-X;F9>Y?u!pKER8M3CVx>0P6eU1IWflP~b1kH4-%+KKOnR7vfiR z)jny1@>J}5dOtruqNzN8Z@(zPprZ^8#hVFhGvJro2`xfJ69N&YCWpzhlt2_0^9w}% z_(}Z$ng-f0T7XkrjEInju^6s76gpCmEGspf(_ZbJ*`Fy)0Qzla>Qwvk3f^o(^ zI$DrGwk&yk>KKh7$iI&`h%CA=e;#i>{QnRC?~Nclaeq7n%y%Qs9-L#u{I9(X` z>)Y(=YMb?Hv&UJ}KEeCLfCOEeB5#-rE-1eq#2UTABgqM~t7a^&$ie>@^Q5}%kznefe($!I9P6rP=d0jVN9 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vytvoreni signalu +t = np.linspace(0, 2, 200) +clean_signal = np.sin(2 * np.pi * 1 * t) + +# zasumeni signalu +noise = 0.1 * np.random.randn(len(t)) +noisy_signal = clean_signal + noise + + +# 1D konvoluce +def convolution(signal, clean): + c = [] + for i, bv in enumerate(clean): + for j, value in enumerate(signal): + if i+j < len(c): + c[i+j] += value*bv + else: + c.append(value*bv) + return c + + +# vytvoření filtru na signál +def filter_signal(signal, number): + return convolution(signal, [1/number for _ in range(number)]) + + +# první obrázek - vytvořený signál +plt.plot(noisy_signal) +plt.show() +# druhý obrázek - signál po filtru n=5 +plt.plot(filter_signal(noisy_signal, 5)) +plt.show() +# třetí obrázek - signál po filtru n=20 +plt.plot(filter_signal(noisy_signal, 20)) +plt.show() + diff --git a/convolution2D.py b/convolution2D.py new file mode 100644 index 0000000..394b15e --- /dev/null +++ b/convolution2D.py @@ -0,0 +1,40 @@ +from PIL import Image + + +def convolution(input_image, image_filter): + width, height = input_image.size + output_image = Image.new("RGB", (width, height)) + + for x in range(width): + for y in range(height): + red, green, blue = 0, 0, 0 + div = 0 + filter_from = -int(len(image_filter[0])/2) + filter_to = len(image_filter[0]) + filter_from + for i in range(filter_from, filter_to): + for j in range(filter_from, filter_to): + if x + i > 0 and x + i < width-1 and y + j > 0 and y + j < height-1: + neighbor_pixel = input_image.getpixel((x + i, y + j)) + red += image_filter[i + 1][j + 1] * neighbor_pixel[0] + green += image_filter[i + 1][j + 1] * neighbor_pixel[1] + blue += image_filter[i + 1][j + 1] * neighbor_pixel[2] + div += image_filter[i + 1][j + 1] + if div > 0: + red = int(red/div) + blue = int(blue/div) + green = int(green/div) + output_image.putpixel((x, y), (red, green, blue)) + + output_image.save("moucha3.jpg") + output_image.close() + input_image.close() + +# moucha3.jpg +odsumeni = [[1, 2, 1], [2, 5, 2], [1, 2, 1]] +# moucha1.jpg +sum = [[2, 4, 5, 4, 2], [4, 9, 12, 9, 4], [5, 12, 15, 12, 5], [4, 9, 12, 9, 4], [2, 4, 6, 4, 2]] +# moucha2.jpg +hrany = [[0, 1, 0], [1, -4, 1], [0, 1, 0]] +# convolution(Image.open("pop.jpg"), sum) +convolution(Image.open("moucha.jpg"), odsumeni) + diff --git a/fractal.py b/fractal.py new file mode 100644 index 0000000..fbed561 --- /dev/null +++ b/fractal.py @@ -0,0 +1,95 @@ +from cmath import sin + +import matplotlib.pyplot as plt + + +def plot_logistic_map(r, x0, num_iterations): + x = [x0] + for _ in range(num_iterations): + x0 = logistic_map(r, x0) + x.append(x0) + + plt.plot(range(num_iterations + 1), x, marker='o', linestyle='-') + plt.xlabel("Národy") + plt.ylabel("Hodnota x") + plt.title(f"Logistická mapa (r = {r})") + plt.show() + + +def logistic_map(r, x): + # return r * x * (1 - x) * (- x + 1) + return r * x * (1 - x) + + +def bifurcation_diagram(r_values, x0, num_iterations, num_transient, num_points): + all_x = [] + all_r = [] + + for r in r_values: + x = x0 + transient = [] + stable = [] + + for i in range(num_iterations): + x = logistic_map(r, x) + + if i >= num_transient: + transient.append(r) + stable.append(x) + + all_x.extend(stable) + all_r.extend(transient) + + plt.scatter(all_r, all_x, s=1, marker=".") + plt.xlabel("r") + plt.ylabel("Hodnota x") + plt.title("Bifurkační diagram") + plt.show() + + +def create_diagrams(): + # Parametry + r = 6 + r_values = [i / 1000 for i in range(1000, 6000)] # Rozsah hodnot r + x0 = 0.2 # Počáteční hodnota + num_iterations = 1000 + num_transient = 100 # Počet přechodných iterací + num_points = 10000 # Počet bodů v diagramu + + bifurcation_diagram(r_values, x0, num_iterations, num_transient, num_points) + plot_logistic_map(r, x0, 100) + + +def midpoint(point1, point2): + return ((point1[0] + point2[0]) / 2, (point1[1] + point2[1]) / 2) + + +def sierpinski_triangle(ax, depth, p1, p2, p3): + if depth == 0: + ax.plot(*p1, 'ro') + ax.plot(*p2, 'ro') + ax.plot(*p3, 'ro') + else: + p12 = midpoint(p1, p2) + p23 = midpoint(p2, p3) + p31 = midpoint(p3, p1) + + sierpinski_triangle(ax, depth - 1, p1, p12, p31) + sierpinski_triangle(ax, depth - 1, p12, p2, p23) + sierpinski_triangle(ax, depth - 1, p31, p23, p3) + + +def main(): + fig, ax = plt.subplots() + p1 = (0, 0) + p2 = (1, 0) + p3 = (0.5, (3 ** 0.5) / 2) + depth = 5 # Změňte tuto hodnotu pro různé úrovně fraktálu + + sierpinski_triangle(ax, depth, p1, p2, p3) + ax.set_aspect('equal', adjustable='box') + plt.show() + + +if __name__ == "__main__": + main() diff --git a/main.py b/main.py new file mode 100644 index 0000000..b35a6c1 --- /dev/null +++ b/main.py @@ -0,0 +1,34 @@ +import numpy as np +import pymc as pm +import arviz as az +from matplotlib import pyplot as plt + + +x = np.random.normal(3, 2, size=30) +# plt.hist(x) +# plt.show() + +with pm.Model() as model: + mu = pm.Uniform('mu', lower=-5, upper=5) + sig = pm.HalfNormal('sig', sigma=10) + data = pm.Normal('data', mu=mu, sigma=sig, observed=x) + +pm.model_to_graphviz(model) + +with model: + trace = pm.sample(5000, tune=1000) + +# plt.plot(trace.posterior.data_vars["mu"][0, 1:100]) + +# az.plot_trace(trace) +summary = az.summary(trace) + +with model: + post = pm.sample_posterior_predictive(trace) + +plt.hist(post.posterior_predictive.data.to_numpy().flatten(), density=True, bins=50) +plt.hist(x, alpha=0.4, density=True, bins=6) + +az.plot_ppc(post) + +plt.show()

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