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https://github.com/Sosokker/Calculator-for-Matrix-and-Algebra.git
synced 2025-12-18 12:44:05 +01:00
Fix __pow__, to_str(), solve
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Sirin Puenggun
parent
84c1d8a357
commit
b540a55a1a
@ -22,9 +22,6 @@ class Polynomial:
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except:
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raise ValueError("Can't turn all number into fraction.")
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while len(self.coeff) < 3:
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self.coeff.append(0)
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self.degree = len(self.coeff)
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#[degree0, degree1, degree2]
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@ -83,16 +80,16 @@ class Polynomial:
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x^2+2x+1
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"""
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if isinstance(other, Polynomial):
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result = [0 for i in self.degree + other.degree]
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result = [0 for i in range(self.degree + other.degree +1)]
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for self_index in range(self.degree):
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for other_index in range(other.degree):
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result[self_index+other_index] += self.coeff[self_index]*other.coeff[other_index]
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poly_result = Polynomial(result)
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return poly_result
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elif isinstance(other, int) or isinstance(other, float):
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result = [0 for i in self.degree + other.degree]
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result = [0 for i in (range(self.degree))]
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for self_index in range(self.degree):
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result[self_index+other_index] += self.coeff[self_index]*other
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result[self_index] += self.coeff[self_index]*other
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poly_result = Polynomial(result)
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return poly_result
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@ -105,18 +102,15 @@ class Polynomial:
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>>> str(p1 ** 2)
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x^2+2x+1
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"""
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result = Polynomial([0])
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result = Polynomial([1])
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if isinstance(other, int) and other >= 0:
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if other == 0:
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return Polynomial([1])
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else:
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for i in range(other):
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result += self * self
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result = result * self
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return result
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def __truediv__(self):
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pass
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def to_str(self) -> str:
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"""
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convert coefficient list into string.
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@ -143,53 +137,119 @@ class Polynomial:
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# return "+".join(result)
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# else:
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# return "0"
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last_count = len(str(self.coeff[-1]))
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result = []
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# last_count = len(str(self.coeff[-1]))
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# result = []
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# i = len(self.coeff) - 1
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# while i >= 0:
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# if self.coeff[i] != 0:
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# if self.coeff[i] < 0:
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# result.append("-")
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# elif len(self.coeff) != 0:
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# result.append("+")
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# elif self.coeff[i] == 0:
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# i -= 1
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# continue
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# if self.coeff[i] != 1 and self.coeff[i] != -1:
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# result.append(str(abs(self.coeff[i])))
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# if (i == len(self.coeff) - 1):
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# result.append(str(self.coeff[i]))
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# if (self.coeff[i] == 1) and (i != len(self.coeff) - 1):
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# result.append(str(1))
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# if i == 1:
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# result.append("x")
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# if i > 1:
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# result.append("x^"+str(i))
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# i -= 1
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# print(result)
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# if result[0] == "+" or result[0] == "-":
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# del result[0]
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# result = "".join(result)
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# return result
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i = len(self.coeff) - 1
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while i >= 0:
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if self.coeff[i] != 0:
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if self.coeff[i] < 0:
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result.append("-")
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elif len(self.coeff) != 0:
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result.append("+")
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elif self.coeff[i] == 0:
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i -= 1
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continue
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if self.coeff[i] != 1 and self.coeff[i] != -1:
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result.append(str(abs(self.coeff[i])))
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if (i == len(self.coeff) - 1):
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result.append(str(self.coeff[i]))
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if (self.coeff[i] == 1) and (i != len(self.coeff) - 1):
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result.append(str(1))
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if i == 1:
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result.append("x")
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if i > 1:
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result.append("x^"+str(i))
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i -= 1
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if result[0] == "+" or result[0] == "-":
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del result[0]
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result = "".join(result)
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if self.coeff[-1] > 0:
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return result[last_count:]
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elif self.coeff[-1] < 0:
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return result[last_count-1:]
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result = ''
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if len(self.coeff) >= 3:
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while i >= 0:
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coe = self.coeff[i]
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if coe == 0:
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i -= 1
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continue
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if i == len(self.coeff) - 1:
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if coe == 1:
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result += f'x^{i}'
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i -= 1
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continue
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elif coe == -1:
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result += f'-x^{i}'
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i -= 1
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continue
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elif (coe != 1) and (coe > 0):
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result += f'{coe}x^{i}'
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i -= 1
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continue
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elif (coe != 1) and (coe < 0):
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result += f'{coe}x^{i}'
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i -= 1
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continue
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else:
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if coe == 1:
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result += f'+x^{i}'
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i -= 1
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continue
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elif coe == -1:
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result += f'-x^{i}'
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i -= 1
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continue
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elif (coe != 1) and (coe > 0):
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result += f'+{coe}x^{i}'
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i -= 1
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continue
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elif (coe != 1) and (coe < 0):
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result += f'{coe}x^{i}'
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i -= 1
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continue
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else:
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return result
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if len(self.coeff) == 2:
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result = f'{self.coeff[1]}x'
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if self.coeff[0] > 0:
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result += f'+{self.coeff[0]}'
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elif self.coeff[0] < 0:
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result += f'-{self.coeff[0]}'
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elif self.coeff[0] == 0:
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pass
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return result
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elif len(self.coeff) == 1:
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return f'{self.coeff[0]}'
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if result[0] == "+":
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result = result[1:]
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return result
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def solve(self) -> dict:
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degree = len(self.coeff) - 1
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sol = [{"real":0, "imag":0}, {"real":0, "imag":0}]
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if degree == 2:
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a, b, c = self.coeff[2], self.coeff[1], self.coeff[0]
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if degree <= 2:
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try:
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a = self.coeff[2]
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except :
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a = 0
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try:
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b = self.coeff[1]
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except :
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b = 0
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try:
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c = self.coeff[0]
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except :
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c = 0
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if a == 0:
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if b == 0:
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if c == 0:
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@ -200,7 +260,7 @@ class Polynomial:
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return sol
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else:
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sol[0]["real"] = -c/b
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del sol[1]
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sol.pop()
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return sol
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else:
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root_term = b**2-4*a*c
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@ -222,62 +282,64 @@ class Polynomial:
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sol[1]["real"] = (-b+(root_term)**0.5)/(2*a)
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return sol
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elif degree == 3:
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a, b = self.coeff[3], self.coeff[2]
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c, d = self.coeff[1], self.coeff[0]
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elif degree >= 3:
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raise ValueError
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# elif degree == 3:
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# a, b = self.coeff[3], self.coeff[2]
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# c, d = self.coeff[1], self.coeff[0]
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b, c, d = b/a, c/a, d/a
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# b, c, d = b/a, c/a, d/a
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temp_q = 3.0*c-(b*b)/9.0
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temp_r = (-(27.0*d)+b*(9*c-2.0*(b * b)))/54.0
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first_term = b/3
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temp_check = (temp_q**3)+(temp_r**2)
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sol = [{"real":0, "imag":0},{"real":0, "imag":0},{"real":0, "imag":0}]
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# temp_q = 3.0*c-(b*b)/9.0
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# temp_r = (-(27.0*d)+b*(9*c-2.0*(b * b)))/54.0
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# first_term = b/3
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# temp_check = (temp_q**3)+(temp_r**2)
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# sol = [{"real":0, "imag":0},{"real":0, "imag":0},{"real":0, "imag":0}]
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if temp_check > 0:
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temp = 1/3
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i = temp_r + (temp_check**0.5)
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if i < 0:
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i = -(-i**(temp))
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else:
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i = i**temp
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j = temp_r - (temp_check)**0.5
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if j < 0:
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j = -(-j**(temp))
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else:
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j = j**temp
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# if temp_check > 0:
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# temp = 1/3
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# i = temp_r + (temp_check**0.5)
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# if i < 0:
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# i = -(-i**(temp))
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# else:
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# i = i**temp
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# j = temp_r - (temp_check)**0.5
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# if j < 0:
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# j = -(-j**(temp))
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# else:
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# j = j**temp
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sol[0]["real"] = -first_term + i + j
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sol[2]["real"] = -(first_term+((i+j)/2))
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sol[1]["real"] = (first_term+((i+j)/2))
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sol[1]["imag"] = (3**0.5) * (-i+j)/2
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sol[2]["imag"] = -sol[1]["imag"]
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# sol[0]["real"] = -first_term + i + j
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# sol[2]["real"] = -(first_term+((i+j)/2))
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# sol[1]["real"] = (first_term+((i+j)/2))
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# sol[1]["imag"] = (3**0.5) * (-i+j)/2
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# sol[2]["imag"] = -sol[1]["imag"]
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return sol
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# return sol
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elif temp_check == 0:
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if temp_r < 0:
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new_r = (-temp_r)**(1/3)
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else:
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new_r = temp_r**(1/3)
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# elif temp_check == 0:
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# if temp_r < 0:
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# new_r = (-temp_r)**(1/3)
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# else:
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# new_r = temp_r**(1/3)
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sol[0]["real"] = -first_term+2*new_r
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sol[1]["real"] = -(new_r+first_term)
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sol[2]["real"] = sol[1]["real"]
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# sol[0]["real"] = -first_term+2*new_r
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# sol[1]["real"] = -(new_r+first_term)
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# sol[2]["real"] = sol[1]["real"]
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return sol
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# return sol
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else:
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temp2 = acos(temp_r/(-temp_q*-temp_q*-temp_q)**0.5)
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temp = -first_term + 2*temp_q**0.5
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# else:
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# temp2 = acos(temp_r/(-temp_q*-temp_q*-temp_q)**0.5)
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# temp = -first_term + 2*temp_q**0.5
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sol[0]["real"] = temp*cos(temp2/3)
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sol[1]["real"] = temp*cos((temp2+2*pi)/3)
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sol[2]["real"] = temp*cos((temp2+4*pi)/3)
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return sol
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# sol[0]["real"] = temp*cos(temp2/3)
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# sol[1]["real"] = temp*cos((temp2+2*pi)/3)
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# sol[2]["real"] = temp*cos((temp2+4*pi)/3)
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# return sol
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elif degree == 4:
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pass
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# elif degree == 4:
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# pass
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def __str__(self) -> str:
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return self.to_str()
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