thing

a.py

from math import sin, cos, tan, exp, log, sqrt, pow, pi, e

def parse_function(expr):
    def f(x):
        try:
            return eval(expr, {"x": x, "sin": sin, "cos": cos, "tan": tan,
                               "exp": exp, "log": log, "sqrt": sqrt,
                               "pow": pow, "pi": pi, "e": e, "__builtins__": None})
        except:
            return None
    return f

def safe_eval(f, x):
    try:
        return f(x)
    except:
        return None

def derivative(f, x, h=1e-5, order=1):
    fxmh = safe_eval(f, x - h)
    fxph = safe_eval(f, x + h)
    fx = safe_eval(f, x)

    if None in (fxmh, fxph, fx):
        return None

    if order == 1:
        return (fxph - fxmh) / (2 * h)
    elif order == 2:
        return (fxph - 2 * fx + fxmh) / (h ** 2)
    else:
        return None

def find_extrema(f, x_min, x_max, steps=1000):
    dx = (x_max - x_min) / steps
    extrema = []
    for i in range(1, steps - 1):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        x3 = x_min + (i + 1) * dx
        f1 = safe_eval(f, x1)
        f2 = safe_eval(f, x2)
        f3 = safe_eval(f, x3)
        if None not in (f1, f2, f3):
            if f1 > f2 < f3 or f1 < f2 > f3:
                extrema.append((x2, f2))
    return extrema

def find_intersections(f, x_min, x_max, steps=1000):
    dx = (x_max - x_min) / steps
    x_intercepts = []
    y_intercept = safe_eval(f, 0)
    for i in range(1, steps):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        f1 = safe_eval(f, x1)
        f2 = safe_eval(f, x2)
        if None not in (f1, f2) and f1 * f2 <= 0:
            x_intercepts.append((x1 + x2) / 2)
    return x_intercepts, y_intercept

def find_asymptotes(f, x_min, x_max, steps=1000, threshold=1e3):
    dx = (x_max - x_min) / steps
    vertical = []
    for i in range(1, steps):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        y1 = safe_eval(f, x1)
        y2 = safe_eval(f, x2)
        if None not in (y1, y2):
            if abs(y1) > threshold and abs(y2) > threshold and y1 * y2 < 0:
                vertical.append((x1 + x2) / 2)
    return vertical

def print_results(f, x_min, x_max):
    print("==== الحساب التفصيلي ====")

    print("🧮 المشتقات:")
    for x in range(x_min, x_max + 1):
        d1 = derivative(f, x, order=1)
        d2 = derivative(f, x, order=2)
        if d1 is None or d2 is None:
            print("x =", x, "| لا يمكن حساب المشتقة")
        else:
            print("x =", x, "| f'(x) =", round(d1, 5), "| f''(x) =", round(d2, 5))

    print("\n📈 نقاط التقاطع مع المحاور:")
    x_axis, y_axis = find_intersections(f, x_min, x_max)
    print("X-axis:", ["x = " + str(round(x, 4)) for x in x_axis])
    if y_axis is None:
        print("Y-axis: غير معرف")
    else:
        print("Y-axis: y =", round(y_axis, 4))

    print("\n🎯 نقاط النهاية (القيم القصوى):")
    extrema = find_extrema(f, x_min, x_max)
    for x, y in extrema:
        print("x =", round(x, 4), "| f(x) =", round(y, 4))

    print("\n📏 خطوط التقارب الرأسية:")
    asymptotes = find_asymptotes(f, x_min, x_max)
    print(["x = " + str(round(x, 4)) for x in asymptotes])

expr = input("اكتب الدالة f(x): ")

x_min = float(input("أدخل أقل قيمة x: "))
x_max = float(input("أدخل أكبر قيمة x: "))

f = parse_function(expr)
print_results(f, x_min, x_max)

aaaaaaaaa.py

from math import sin, cos, tan, exp, log, sqrt, pow, pi, e

# Provide a safe eval environment
def parse_function(expr):
    def f(x):
        try:
            return eval(expr, {"x": x, "sin": sin, "cos": cos, "tan": tan,
                               "exp": exp, "log": log, "sqrt": sqrt,
                               "pow": pow, "pi": pi, "e": e, "__builtins__": None})
        except:
            return None
    return f

def safe_eval(f, x):
    try:
        return f(x)
    except:
        return None

def derivative(f, x, h=1e-5, order=1):
    fxmh = safe_eval(f, x - h)
    fxph = safe_eval(f, x + h)
    fx = safe_eval(f, x)

    if None in (fxmh, fxph, fx):
        return None

    if order == 1:
        return (fxph - fxmh) / (2 * h)
    elif order == 2:
        return (fxph - 2 * fx + fxmh) / (h ** 2)
    else:
        return None

def find_extrema(f, x_min, x_max, steps=1000):
    dx = (x_max - x_min) / steps
    extrema = []
    for i in range(1, steps - 1):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        x3 = x_min + (i + 1) * dx
        f1 = safe_eval(f, x1)
        f2 = safe_eval(f, x2)
        f3 = safe_eval(f, x3)
        if None not in (f1, f2, f3):
            if f1 > f2 < f3 or f1 < f2 > f3:
                extrema.append((x2, f2))
    return extrema

def find_intersections(f, x_min, x_max, steps=1000):
    dx = (x_max - x_min) / steps
    x_intercepts = []
    y_intercept = safe_eval(f, 0)
    for i in range(1, steps):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        f1 = safe_eval(f, x1)
        f2 = safe_eval(f, x2)
        if None not in (f1, f2) and f1 * f2 <= 0:
            x_intercepts.append((x1 + x2) / 2)
    return x_intercepts, y_intercept

def find_asymptotes(f, x_min, x_max, steps=1000, threshold=1e3):
    dx = (x_max - x_min) / steps
    vertical = []
    for i in range(1, steps):
        x1 = x_min + (i - 1) * dx
        x2 = x_min + i * dx
        y1 = safe_eval(f, x1)
        y2 = safe_eval(f, x2)
        if None not in (y1, y2):
            if abs(y1) > threshold and abs(y2) > threshold and y1 * y2 < 0:
                vertical.append((x1 + x2) / 2)
    return vertical

def print_results(f, x_min, x_max):
    print("==== الحساب التفصيلي ====")

    print("🧮 المشتقات:")
    for x in range(x_min, x_max + 1):
        d1 = derivative(f, x, order=1)
        d2 = derivative(f, x, order=2)
        if d1 is None or d2 is None:
            print("x =", x, "| لا يمكن حساب المشتقة")
        else:
            print("x =", x, "| f'(x) =", round(d1, 5), "| f''(x) =", round(d2, 5))

    print("\n📈 نقاط التقاطع مع المحاور:")
    x_axis, y_axis = find_intersections(f, x_min, x_max)
    print("X-axis:", ["x = " + str(round(x, 4)) for x in x_axis])
    if y_axis is None:
        print("Y-axis: غير معرف")
    else:
        print("Y-axis: y =", round(y_axis, 4))

    print("\n🎯 نقاط النهاية (القيم القصوى):")
    extrema = find_extrema(f, x_min, x_max)
    for x, y in extrema:
        print("x =", round(x, 4), "| f(x) =", round(y, 4))

    print("\n📏 خطوط التقارب الرأسية:")
    asymptotes = find_asymptotes(f, x_min, x_max)
    print(["x = " + str(round(x, 4)) for x in asymptotes])

expr = input("اكتب الدالة f(x): ")

x_min = float(input("أدخل أقل قيمة x: "))
x_max = float(input("أدخل أكبر قيمة x: "))

f = parse_function(expr)
print_results(f, x_min, x_max)

o.py

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thing.py

from kandinsky import *

BGCOLOR = 0,0,0
PXCOLOR = 255,0,0
pxi=0

def Play(file="o.py"):
    lines = open(file, "r").read().split("\n")
    fill_rect(0,0,255,255,color(BGCOLOR))
    for i in range(255):
        for pxi in range(0, len(lines[i]), 2):
            set_pixel(int(lines[i][pxi]+lines[i][pxi+1],16),i,color(PXCOLOR))
        #for pxi in lines[i]:
            #set_pixel()
            #fill_rect(int(pxi)*size-size,i*size,size,size,color(PXCOLOR))