डमी के लिए सरल अंकगणितीय उदाहरणों के जनरेटर और न केवल

क्यों?

यह कैसे काम करने वाला है?

मुख्य तंत्र

import random from math import log import math import sys sys.setrecursionlimit(1000) #       class ProblemGenerator: def extract_nums(self, exp): symbols = list(exp) NUM = "1234567890." for i in range(len(symbols)): symbols[i] = "N" if symbols[i] in NUM else "T" begins = [] ends = [] for i in range(len(symbols) - 1): fn = symbols[i] + symbols[i + 1] if fn == "TN": begins.append(i) elif fn == "NT": ends.append(i) if exp[-1] in NUM: ends.append(len(exp) - 1) if exp[0] in NUM: begins = [-1] + begins return [(x + 1, y + 1) for x, y in zip(begins, ends)] 

 gen = ProblemGenerator() print(gen.extract_nums("13+256/355+25")) 

 [(0, 2), (3, 6), (7, 10), (11, 13)] 

 def unmin(*args, acc=2): r = [] for arg in args: f = round(arg, acc) if f > 0: f = str(f) else: f = "(" + str(f) + ")" r.append(f) return r def __c_sum(num): a = round(random.random() * 100, 3) b = num - a a, b = unmin(a, b) return a + " + " + b def __c_mul(num): a = num / (random.random() * 100 + 10) if a == 0.0: b = random.random() else: b = num / a a, b = unmin(a, b) return a + " * " + b 

 a = 3 b = -4 a, b = unmin(a, b) 

 class ProblemGenerator: ... def __init__(self): self.funcs = [] def add_expander(self, func): self.funcs.append(func) def complexify(self, num): return random.choice(self.funcs)(num) def __rxp__(self, exp): x, y = random.choice(self.extract_nums(exp)) exp = exp[:x] + "(" + self.complexify(float(exp[x:y])) + ")" + exp[y:] return exp def randexpr(self, ans, steps): e = str(ans) for i in range(steps): e = self.__rxp__(e) return e 

 gen = ProblemGenerator() gen.add_expander(__c_sum) print(gen.complexify(13)) 

 31.2 + (-18.2) 

 13 (5.62 + 7.38) ((20.63 + (-15.01)) + 7.38) ((20.63 + (-(67.5 + (-52.49)))) + 7.38) ((20.63 + (-((15.16 + 52.34) + (-52.49)))) + 7.38) 

 gen = ProblemGenerator() gen.add_expander(__c_sum) gen.add_expander(__c_mul) exp = gen.randexpr(1, 5) print(exp) 

 ((6.63 + (56.62 + 16.8)) + (-((60.53 + 3.61) + 14.91))) 

LaTeX

 def __l_sum(num): a = 100 ** (random.random() * 2) b = num - a a, b = unmin(a, b) return a + " + " + b def __l_div(num): a = num * (random.random() * 100 + 10) if a == 0.0: b = random.random() else: b = a / num a, b = unmin(a, b) return "\\frac{" + a + "}{" + b + "}" def __l_pow(num): if num == 0: return str(random.randint(2, 7)) + "^{-\\infty}" a = random.randint(0, 10) + 3 b = math.log(abs(num), a) a, b = unmin(a, b) return ("-" if num < 0 else "") + a + "^{" + b + "}" def __l_sqrt(num): a = num ** 0.5 a = unmin(a)[0] return "\\sqrt{" + a + "}" def __l_int(num): patterns = [ ("x^{2}", (3 * num) ** (1/3), "dx"), ("y^{3}", (4 * num) ** (1/4), "dy"), ("\sqrt{t}", (1.5 * num) ** (2/3), "dt") ] p, b, f = random.choice(patterns) b = str(round(b, 3)) return "\\int_{0}^{" + b + "} " + p + " " + f def __l_sig(num): a = random.randint(1, 10) b = random.randint(1, 10) + a s = sum([i for i in range(a, b + 1)]) c = num / s a, b, c = unmin(a, b, c) return "\\sum_{i=" + a + "}^{" + b + "} i*" + c 

 gen = ProblemGenerator() gen.add_expander(__l_sum) #    gen.add_expander(__l_div) #  gen.add_expander(__l_pow) #  gen.add_expander(__l_sqrt) #   gen.add_expander(__l_int) #   gen.add_expander(__l_sig) #   

 import matplotlib.pyplot as plt plt.axis("off") latex_expression = gen.randexpr(1, 30) # 30  .    1 plt.text(0.5, 0.5, "$" + latex_expression + "$", horizontalalignment='center', verticalalignment='center', fontsize=20) plt.show() 

 import random from math import log import math import sys sys.setrecursionlimit(1000) class ProblemGenerator: def extract_nums(self, exp): symbols = list(exp) NUM = "1234567890." for i in range(len(symbols)): symbols[i] = "N" if symbols[i] in NUM else "T" begins = [] ends = [] for i in range(len(symbols) - 1): fn = symbols[i] + symbols[i + 1] if fn == "TN": begins.append(i) elif fn == "NT": ends.append(i) if exp[-1] in NUM: ends.append(len(exp) - 1) if exp[0] in NUM: begins = [-1] + begins return [(x + 1, y + 1) for x, y in zip(begins, ends)] def __init__(self): self.funcs = [] def add_expander(self, func): self.funcs.append(func) def complexify(self, num): return random.choice(self.funcs)(num) def __rxp__(self, exp): x, y = random.choice(self.extract_nums(exp)) exp = exp[:x] + "(" + self.complexify(float(exp[x:y])) + ")" + exp[y:] return exp def randexpr(self, ans, steps): e = str(ans) for i in range(steps): e = self.__rxp__(e) return e def unmin(*args, acc=2): r = [] for arg in args: f = round(arg, acc) if f > 0: f = str(f) else: f = "(" + str(f) + ")" r.append(f) return r def __c_sum(num): a = round(random.random() * 100, 3) b = num - a a, b = unmin(a, b) return a + " + " + b def __c_mul(num): a = num / (random.random() * 100 + 10) if a == 0.0: b = random.random() else: b = num / a a, b = unmin(a, b, acc=5) return a + " * " + b def __c_sub(num): a = num + 100 ** (random.random() * 2) b = (a - num) a, b = unmin(a, b) return a + " - " + b def __c_log(num): fr = random.randint(300, 500) a = math.e ** (num / fr) a, fr = unmin(a, fr, acc=5) return "log(" + a + ") * " + fr def __l_sum(num): a = 100 ** (random.random() * 2) b = num - a a, b = unmin(a, b) return a + " + " + b def __l_div(num): a = num * (random.random() * 100 + 10) if a == 0.0: b = random.random() else: b = a / num a, b = unmin(a, b) return "\\frac{" + a + "}{" + b + "}" def __l_pow(num): if num == 0: return str(random.randint(2, 7)) + "^{-\\infty}" a = random.randint(0, 10) + 3 b = math.log(abs(num), a) a, b = unmin(a, b) return ("-" if num < 0 else "") + a + "^{" + b + "}" def __l_sqrt(num): a = num ** 0.5 a = unmin(a)[0] return "\\sqrt{" + a + "}" def __l_int(num): patterns = [ ("x^{2}", (3 * num) ** (1/3), "dx"), ("y^{3}", (4 * num) ** (1/4), "dy"), ("\sqrt{t}", (1.5 * num) ** (2/3), "dt") ] p, b, f = random.choice(patterns) b = str(round(b, 3)) return "\\int_{0}^{" + b + "} " + p + " " + f def __l_sig(num): a = random.randint(1, 10) b = random.randint(1, 10) + a s = sum([i for i in range(a, b + 1)]) c = num / s a, b, c = unmin(a, b, c) return "\\sum_{i=" + a + "}^{" + b + "} i*" + c gen = ProblemGenerator() gen.add_expander(__l_sum) gen.add_expander(__l_div) gen.add_expander(__l_pow) gen.add_expander(__l_sqrt) gen.add_expander(__l_int) gen.add_expander(__l_sig) import matplotlib.pyplot as plt plt.axis("off") latex_expression = gen.randexpr(1, 30) # 30  .    1 plt.text(0.5, 0.5, "$" + latex_expression + "$", horizontalalignment='center', verticalalignment='center', fontsize=15) plt.show() 

परिणाम (3 स्क्रीनशॉट)