def test_eq15_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(1), Item(2)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[1=2\]' 'This equation has no solution.' '\\newline ')
def test_eq32_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 1, 1)), SquareRoot(Item(16)))) assert eq.auto_resolution(dont_display_equations_name=True, decimal_result=2) == \ wrap_nb('\[x=\\sqrt{\mathstrut 16}\]' '\[x=4\]')
def test_eq32_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 1, 1)), SquareRoot(Item(16)))) assert eq.auto_resolution(dont_display_equations_name=True, decimal_result=2) == \ wrap_nb('\[x=\\sqrt{\mathstrut 16}\]' '\[x=4\]')
def test_eq15_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(1), Item(2)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[1=2\]' 'This equation has no solution.' '\\newline ')
def test_eq27_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 3, 1)), Item(1)), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[3x=1\]' '\[x=\\frac{1}{3}\]' '\[x\\simeq0.33\]')
def test_eq28_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 8, 1)), Item(6)), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[8x=6\]' '\[x=\\frac{6}{8}\]' '\[x=0.75\]')
def test_eq27_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 3, 1)), Item(1)), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[3x=1\]' '\[x=\\frac{1}{3}\]' '\[x\\simeq0.33\]')
def test_eq28_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 8, 1)), Item(6)), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[8x=6\]' '\[x=\\frac{6}{8}\]' '\[x=0.75\]')
def test_eq5_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 12, 1)), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[12x=8\]' '\[x=\\frac{8}{12}\]' '\[x=\\frac{\\bcancel{4}\\times 2}' '{\\bcancel{4}\\times 3}\]' '\[x=\\frac{2}{3}\]')
def test_eq5_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 12, 1)), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[12x=8\]' '\[x=\\frac{8}{12}\]' '\[x=\\frac{\\bcancel{4}\\times 2}' '{\\bcancel{4}\\times 3}\]' '\[x=\\frac{2}{3}\]')
def test_eq0_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('+', 1, 1)), Monomial(('+', 7, 0))]), Item(3)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[x+7=3\]' '\[x=3-7\]' '\[x=-4\]')
def test_eq1_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('-', 8, 0)), Monomial(('+', 1, 1))]), Item(-2)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-8+x=-2\]' '\[x=-2+8\]' '\[x=6\]')
def test_eq0_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 1, 1)), Monomial(('+', 7, 0))]), Item(3)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[x+7=3\]' '\[x=3-7\]' '\[x=-4\]')
def test_eq2_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(-5), Polynomial([Monomial(('+', 1, 1)), Monomial(('+', 3, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-5=x+3\]' '\[x=-5-3\]' '\[x=-8\]')
def test_eq1_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('-', 8, 0)), Monomial(('+', 1, 1))]), Item(-2)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-8+x=-2\]' '\[x=-2+8\]' '\[x=6\]')
def test_eq6_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 2, 1)), Monomial(('+', 3, 0))]), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[2x+3=8\]' '\[2x=8-3\]' '\[2x=5\]' '\[x=\\frac{5}{2}\]')
def test_eq6_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('+', 2, 1)), Monomial(('+', 3, 0))]), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[2x+3=8\]' '\[2x=8-3\]' '\[2x=5\]' '\[x=\\frac{5}{2}\]')
def test_eq7_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('+', 19, 0)), Monomial(('+', 3, 1))]), Monomial(('+', 2, 1))), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[19+3x=2x\]' '\[3x-2x=-19\]' '\[(3-2)x=-19\]' '\[x=-19\]')
def test_eq12_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 2, 1)), Monomial(('+', 1, 0))]), Item(1)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[2x+1=1\]' '\[2x=1-1\]' '\[2x=0\]' '\[x=0\]')
def test_eq25_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(('+', 5, 2)), Sum([Item(('+', 4, 2)), Monomial(('+', 1, 1))])), number=1) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[5^{2}=4^{2}+x\]' '\[25=16+x\]' '\[x=25-16\]' '\[x=9\]')
def test_eq12_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('+', 2, 1)), Monomial(('+', 1, 0))]), Item(1)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[2x+1=1\]' '\[2x=1-1\]' '\[2x=0\]' '\[x=0\]')
def test_eq7_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 19, 0)), Monomial(('+', 3, 1))]), Monomial(('+', 2, 1))), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[19+3x=2x\]' '\[3x-2x=-19\]' '\[(3-2)x=-19\]' '\[x=-19\]')
def test_eq2_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Item(-5), Polynomial([Monomial( ('+', 1, 1)), Monomial(('+', 3, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-5=x+3\]' '\[x=-5-3\]' '\[x=-8\]')
def test_eq25_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item( ('+', 5, 2)), Sum([Item( ('+', 4, 2)), Monomial(('+', 1, 1))])), number=1) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[5^{2}=4^{2}+x\]' '\[25=16+x\]' '\[x=25-16\]' '\[x=9\]')
def test_eq8_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 4, 1)), Monomial(('+', 2, 0))]), Polynomial([Monomial(('-', 3, 0)), Monomial(('+', 2, 1))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[4x+2=-3+2x\]' '\[4x-2x=-3-2\]' '\[(4-2)x=-5\]' '\[2x=-5\]' '\[x=-\\frac{5}{2}\]')
def test_eq14_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('+', 3, 0)), Monomial(('+', 10, 1))]), Monomial(('+', 10, 1)))) assert eq.auto_resolution() == wrap_nb('$(\\text{E}): $' '\[3+10x=10x\]' '\[10x-10x=-3\]' '\[(10-10)x=-3\]' '\[0x=-3\]' '\[0=-3\]' 'This equation has no solution.' '\\newline ')
def test_eq37_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial((Fraction((Item(2), Item(3))), 1)), Fraction((Item(4), Item(5))))) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[\\frac{2}{3}x=\\frac{4}{5}\]' '\[x=\\frac{4}{5}\div \\frac{2}{3}\]' '\[x=\\frac{4}{5}\\times \\frac{3}{2}\]' '\[x=\\frac{4\\times 3}{5\\times 2}\]' '\[x=\\frac{\\bcancel{2}\\times 2\\times 3}' '{5\\times \\bcancel{2}}\]' '\[x=\\frac{6}{5}\]')
def test_eq11_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 5, 0)), Monomial(('-', 1, 1))]), Polynomial([Monomial(('+', 5, 1))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5-x=5x\]' '\[-x-5x=-5\]' '\[(-1-5)x=-5\]' '\[-6x=-5\]' '\[x=\\frac{-5}{-6}\]' '\[x=\\frac{5}{6}\]')
def test_eq9_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('-', 2, 1)), Monomial(('+', 5, 0))]), Polynomial([Monomial(('+', 3, 1)), Monomial(('-', 4, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-2x+5=3x-4\]' '\[-2x-3x=-4-5\]' '\[(-2-3)x=-9\]' '\[-5x=-9\]' '\[x=\\frac{-9}{-5}\]' '\[x=\\frac{9}{5}\]')
def test_eq21_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('-', 1, 0)), Monomial(('-', 4, 1))]), Monomial(('-', 9, 0)))) assert eq.auto_resolution() == wrap_nb('$(\\text{E}): $' '\[-1-4x=-9\]' '\[-4x=-9+1\]' '\[-4x=-8\]' '\[x=\\frac{-8}{-4}\]' '\[x=\\frac{+\\bcancel{4}\\times 2}' '{+\\bcancel{4}}\]' '\[x=2\]')
def test_eq37_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial((Fraction( (Item(2), Item(3))), 1)), Fraction((Item(4), Item(5))))) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[\\frac{2}{3}x=\\frac{4}{5}\]' '\[x=\\frac{4}{5}\div \\frac{2}{3}\]' '\[x=\\frac{4}{5}\\times \\frac{3}{2}\]' '\[x=\\frac{4\\times 3}{5\\times 2}\]' '\[x=\\frac{\\bcancel{2}\\times 2\\times 3}' '{5\\times \\bcancel{2}}\]' '\[x=\\frac{6}{5}\]')
def test_eq14_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('+', 3, 0)), Monomial(('+', 10, 1))]), Monomial(('+', 10, 1)))) assert eq.auto_resolution() == wrap_nb('$(\\text{E}): $' '\[3+10x=10x\]' '\[10x-10x=-3\]' '\[(10-10)x=-3\]' '\[0x=-3\]' '\[0=-3\]' 'This equation has no solution.' '\\newline ')
def test_eq21_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('-', 1, 0)), Monomial(('-', 4, 1))]), Monomial(('-', 9, 0)))) assert eq.auto_resolution() == wrap_nb('$(\\text{E}): $' '\[-1-4x=-9\]' '\[-4x=-9+1\]' '\[-4x=-8\]' '\[x=\\frac{-8}{-4}\]' '\[x=\\frac{+\\bcancel{4}\\times 2}' '{+\\bcancel{4}}\]' '\[x=2\]')
def test_eq23_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(5), Sum([Expandable((Item(1), Sum([Monomial(('+', 1, 1)), Monomial(('-', 2, 0))]))), Item(7)])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5=(x-2)+7\]' '\[5=x-2+7\]' '\[5=x+5\]' '\[x=5-5\]' '\[x=0\]')
def test_eq11_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial( ('+', 5, 0)), Monomial( ('-', 1, 1))]), Polynomial([Monomial(('+', 5, 1))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5-x=5x\]' '\[-x-5x=-5\]' '\[(-1-5)x=-5\]' '\[-6x=-5\]' '\[x=\\frac{-5}{-6}\]' '\[x=\\frac{5}{6}\]')
def test_eq13_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 1, 1)), Monomial(('+', 5, 0))]), Polynomial([Monomial(('+', 1, 1)), Monomial(('+', 2, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[x+5=x+2\]' '\[x-x=2-5\]' '\[(1-1)x=-3\]' '\[0x=-3\]' '\[0=-3\]' 'This equation has no solution.' '\\newline ')
class Q_Equation(Q_Structure): # -------------------------------------------------------------------------- ## # @brief Constructor. # @param **options Any options # @return One instance of question.Q_Equation def __init__(self, q_kind='default_nothing', **options): self.derived = True # The call to the mother class __init__() method will set the # fields matching optional arguments which are so far: # self.q_kind, self.q_subkind # plus self.options (modified) Q_Structure.__init__(self, q_kind, AVAILABLE_Q_KIND_VALUES, **options) # The purpose of this next line is to get the possibly modified # value of **options options = self.options # That's the number of the question, not of the expressions it might # contain ! self.number = "" # if 'number_of_questions' in options: # self.number = options['number_of_questions'] self.equation = Equation((RANDOMLY, q_kind)) if 'expression_number' in options: self.equation.set_number(options['expression_number']) # -------------------------------------------------------------------------- ## # @brief Returns the text of the question as a str def text_to_str(self): M = shared.machine result = M.write_math_style2(M.type_string(self.equation, display_name='OK')) result += M.write_new_line() return result # -------------------------------------------------------------------------- ## # @brief Returns the answer of the question as a str def answer_to_str(self): M = shared.machine return M.write(self.equation.auto_resolution())
def test_eq8_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Polynomial([Monomial( ('+', 4, 1)), Monomial(('+', 2, 0))]), Polynomial([Monomial( ('-', 3, 0)), Monomial(('+', 2, 1))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[4x+2=-3+2x\]' '\[4x-2x=-3-2\]' '\[(4-2)x=-5\]' '\[2x=-5\]' '\[x=-\\frac{5}{2}\]')
def test_eq29_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Monomial(('+', 1, 1)), Sum([Fraction((Item(1), Item(4))), Fraction((Item(1), Item(8)))])), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[x=\\frac{1}{4}+\\frac{1}{8}\]' '\[x=\\frac{1\\times 2}{4\\times 2}' '+\\frac{1}{8}\]' '\[x=\\frac{2}{8}+\\frac{1}{8}\]' '\[x=\\frac{2+1}{8}\]' '\[x=\\frac{3}{8}\]' '\[x\\simeq0.38\]')
def test_eq39_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([ Monomial((Fraction((Item(2), Item(1))).simplified(), 1)), Fraction((Item(1), Item(5))) ]), Fraction(('-', Item(4), Item(5))))) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[2x+\\frac{1}{5}=-\\frac{4}{5}\]' '\[2x=-\\frac{4}{5}-\\frac{1}{5}\]' '\[2x=\\frac{-4-1}{5}\]' '\[2x=-\\frac{5}{5}\]' '\[2x=-\\frac{\\bcancel{5}}{\\bcancel{5}}\]' '\[2x=-1\]' '\[x=-\\frac{1}{2}\]')
def test_eq39_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial((Fraction((Item(2), Item(1))).simplified(), 1)), Fraction((Item(1), Item(5)))]), Fraction(('-', Item(4), Item(5))))) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[2x+\\frac{1}{5}=-\\frac{4}{5}\]' '\[2x=-\\frac{4}{5}-\\frac{1}{5}\]' '\[2x=\\frac{-4-1}{5}\]' '\[2x=-\\frac{5}{5}\]' '\[2x=-\\frac{\\bcancel{5}}{\\bcancel{5}}\]' '\[2x=-1\]' '\[x=-\\frac{1}{2}\]')
class Q_Equation(Q_Structure): # -------------------------------------------------------------------------- ## # @brief Constructor. # @param **options Any options # @return One instance of question.Q_Equation def __init__(self, q_kind='default_nothing', **options): self.derived = True # The call to the mother class __init__() method will set the # fields matching optional arguments which are so far: # self.q_kind, self.q_subkind # plus self.options (modified) Q_Structure.__init__(self, q_kind, AVAILABLE_Q_KIND_VALUES, **options) # The purpose of this next line is to get the possibly modified # value of **options options = self.options # That's the number of the question, not of the expressions it might # contain ! self.number = "" # if 'number_of_questions' in options: # self.number = options['number_of_questions'] self.equation = Equation((RANDOMLY, q_kind)) if 'expression_number' in options: self.equation.set_number(options['expression_number']) # -------------------------------------------------------------------------- ## # @brief Returns the text of the question as a str def text_to_str(self): M = shared.machine result = M.write_math_style2( M.type_string(self.equation, display_name='OK')) result += M.write_new_line() return result # -------------------------------------------------------------------------- ## # @brief Returns the answer of the question as a str def answer_to_str(self): M = shared.machine return M.write(self.equation.auto_resolution())
def test_eq9_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Polynomial([Monomial( ('-', 2, 1)), Monomial(('+', 5, 0))]), Polynomial([Monomial( ('+', 3, 1)), Monomial(('-', 4, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-2x+5=3x-4\]' '\[-2x-3x=-4-5\]' '\[(-2-3)x=-9\]' '\[-5x=-9\]' '\[x=\\frac{-9}{-5}\]' '\[x=\\frac{9}{5}\]')
def test_eq10_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Polynomial([Monomial(('+', 5, 0)), Monomial(('+', 4, 1))]), Polynomial([Monomial(('-', 20, 1)), Monomial(('+', 3, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5+4x=-20x+3\]' '\[4x+20x=3-5\]' '\[(4+20)x=-2\]' '\[24x=-2\]' '\[x=-\\frac{2}{24}\]' '\[x=-\\frac{\\bcancel{2}}' '{\\bcancel{2}\\times 12}\]' '\[x=-\\frac{1}{12}\]')
def test_t4_pyth_eq_autoresolution(t4): """ Check the auto-resolution of the pythagorean equation created from t4. """ eq_t4 = Equation(t4.pythagorean_substequality().substitute()) assert eq_t4.auto_resolution(dont_display_equations_name=True, decimal_result=HUNDREDTH, pythagorean_mode=True, unit='cm') == \ wrap_nb('\[\\text{OP}^{2}=7^{2}-1.5^{2}\]' '\[\\text{OP}^{2}=49-2.25\]' '\[\\text{OP}^{2}=46.75\]' '\[\\text{OP}=\\sqrt{\mathstrut 46.75}' '\\text{ because \\text{OP} is positive.}\]' '\[\\text{OP}\\simeq6.84\\text{ cm}\]')
def test_eq36_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(('+', "EF", 2)), Sum([Item(('+', 60, 2)), Item(('+', 91, 2))])), number=1, variable_letter_name="AB") assert eq.auto_resolution(dont_display_equations_name=True, pythagorean_mode=True, unit='cm') == \ wrap_nb('\[\\text{EF}^{2}=60^{2}+91^{2}\]' '\[\\text{EF}^{2}=3600+8281\]' '\[\\text{EF}^{2}=11881\]' '\[\\text{EF}=' '\\sqrt{\mathstrut 11881}' '\\text{ because \\text{EF} ' 'is positive.}\]' '\[\\text{EF}=109\\text{ cm}\]')
def test_eq20_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('+', 5, 1))]), Sum([Expandable((Item(1), Sum([Monomial(('+', 2, 0)), Monomial(('-', 5, 1))]))), Monomial(('-', 2, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5x=(2-5x)-2\]' '\[5x=2-5x-2\]' '\[5x=2-2-5x\]' '\[5x=-5x\]' '\[5x+5x=0\]' '\[(5+5)x=0\]' '\[10x=0\]' '\[x=0\]')
def test_eq13_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Polynomial([Monomial( ('+', 1, 1)), Monomial(('+', 5, 0))]), Polynomial([Monomial( ('+', 1, 1)), Monomial(('+', 2, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[x+5=x+2\]' '\[x-x=2-5\]' '\[(1-1)x=-3\]' '\[0x=-3\]' '\[0=-3\]' 'This equation has no solution.' '\\newline ')
def test_eq29_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Monomial(('+', 1, 1)), Sum([Fraction((Item(1), Item(4))), Fraction((Item(1), Item(8)))])), number=1) assert eq.auto_resolution(decimal_result=2) == \ wrap_nb('$(\\text{E}_{1}): $' '\[x=\\frac{1}{4}+\\frac{1}{8}\]' '\[x=\\frac{1\\times 2}{4\\times 2}' '+\\frac{1}{8}\]' '\[x=\\frac{2}{8}+\\frac{1}{8}\]' '\[x=\\frac{2+1}{8}\]' '\[x=\\frac{3}{8}\]' '\[x\\simeq0.38\]')
def test_eq10_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Polynomial([Monomial( ('+', 5, 0)), Monomial(('+', 4, 1))]), Polynomial([Monomial( ('-', 20, 1)), Monomial(('+', 3, 0))])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5+4x=-20x+3\]' '\[4x+20x=3-5\]' '\[(4+20)x=-2\]' '\[24x=-2\]' '\[x=-\\frac{2}{24}\]' '\[x=-\\frac{\\bcancel{2}}' '{\\bcancel{2}\\times 12}\]' '\[x=-\\frac{1}{12}\]')
def test_eq17_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Expandable((Item(-1), Sum([Monomial((-11, 1)), Item(-10)]))), Sum([Expandable((Item(1), Sum([Item(-15), Monomial((12, 1))]))), Item(-1)])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-(-11x-10)=(-15+12x)-1\]' '\[11x+10=-15+12x-1\]' '\[11x+10=-15-1+12x\]' '\[11x+10=-16+12x\]' '\[11x-12x=-16-10\]' '\[(11-12)x=-26\]' '\[-x=-26\]' '\[x=26\]')
def test_eq35_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item(('+', 73, 2)), Sum([Item(('+', 48, 2)), Item(('+', "AB", 2))])), number=1, variable_letter_name="AB") assert eq.auto_resolution(dont_display_equations_name=True, decimal_result=2, pythagorean_mode=True) == \ wrap_nb('\[73^{2}=48^{2}+\\text{AB}^{2}\]' '\[5329=2304+\\text{AB}^{2}\]' '\[\\text{AB}^{2}=5329-2304\]' '\[\\text{AB}^{2}=3025\]' '\[\\text{AB}=' '\\sqrt{\mathstrut 3025}' '\\text{ because \\text{AB} ' 'is positive.}\]' '\[\\text{AB}=55\]')
def test_eq23_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Item(5), Sum([ Expandable( (Item(1), Sum([Monomial(('+', 1, 1)), Monomial(('-', 2, 0))]))), Item(7) ])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5=(x-2)+7\]' '\[5=x-2+7\]' '\[5=x+5\]' '\[x=5-5\]' '\[x=0\]')
def test_eq16_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([Monomial(('+', 9, 1)), Expandable((Monomial(('+', 9, 0)), Sum([Monomial(('-', 4, 0)), Monomial(('-', 1, 1))])))]), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[9x+9(-4-x)=8\]' '\[9x+9\\times (-4)+9\\times ' '(-x)=8\]' '\[9x-36-9x=8\]' '\[(9-9)x-36=8\]' '\[0x-36=8\]' '\[-36=8\]' 'This equation has no solution.' '\\newline ')
def test_eq36_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item( ('+', "EF", 2)), Sum([Item( ('+', 60, 2)), Item(('+', 91, 2))])), number=1, variable_letter_name="AB") assert eq.auto_resolution(dont_display_equations_name=True, pythagorean_mode=True, unit='cm') == \ wrap_nb('\[\\text{EF}^{2}=60^{2}+91^{2}\]' '\[\\text{EF}^{2}=3600+8281\]' '\[\\text{EF}^{2}=11881\]' '\[\\text{EF}=' '\\sqrt{\mathstrut 11881}' '\\text{ because \\text{EF} ' 'is positive.}\]' '\[\\text{EF}=109\\text{ cm}\]')
def test_eq35_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Item( ('+', 73, 2)), Sum([Item( ('+', 48, 2)), Item(('+', "AB", 2))])), number=1, variable_letter_name="AB") assert eq.auto_resolution(dont_display_equations_name=True, decimal_result=2, pythagorean_mode=True) == \ wrap_nb('\[73^{2}=48^{2}+\\text{AB}^{2}\]' '\[5329=2304+\\text{AB}^{2}\]' '\[\\text{AB}^{2}=5329-2304\]' '\[\\text{AB}^{2}=3025\]' '\[\\text{AB}=' '\\sqrt{\mathstrut 3025}' '\\text{ because \\text{AB} ' 'is positive.}\]' '\[\\text{AB}=55\]')
def test_eq16_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([ Monomial(('+', 9, 1)), Expandable((Monomial( ('+', 9, 0)), Sum([Monomial( ('-', 4, 0)), Monomial(('-', 1, 1))]))) ]), Item(8)), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[9x+9(-4-x)=8\]' '\[9x+9\\times (-4)+9\\times ' '(-x)=8\]' '\[9x-36-9x=8\]' '\[(9-9)x-36=8\]' '\[0x-36=8\]' '\[-36=8\]' 'This equation has no solution.' '\\newline ')
def test_eq17_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Expandable((Item(-1), Sum([Monomial( (-11, 1)), Item(-10)]))), Sum([ Expandable((Item(1), Sum([Item(-15), Monomial((12, 1))]))), Item(-1) ])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[-(-11x-10)=(-15+12x)-1\]' '\[11x+10=-15+12x-1\]' '\[11x+10=-15-1+12x\]' '\[11x+10=-16+12x\]' '\[11x-12x=-16-10\]' '\[(11-12)x=-26\]' '\[-x=-26\]' '\[x=26\]')
def test_eq38_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation((Sum([ Monomial((Fraction((Item(1), Item(4))), 1)), Fraction((Item(1), Item(7))) ]), Fraction(('-', Item(3), Item(14))))) assert eq.auto_resolution(dont_display_equations_name=True) == \ wrap_nb('\[\\frac{1}{4}x+\\frac{1}{7}=-\\frac{3}{14}\]' '\[\\frac{1}{4}x=-\\frac{3}{14}-\\frac{1}{7}\]' '\[\\frac{1}{4}x=-\\frac{3}{14}-\\frac{1\\times 2}' '{7\\times 2}\]' '\[\\frac{1}{4}x=-\\frac{3}{14}-\\frac{2}{14}\]' '\[\\frac{1}{4}x=\\frac{-3-2}{14}\]' '\[\\frac{1}{4}x=-\\frac{5}{14}\]' '\[x=-\\frac{5}{14}\div \\frac{1}{4}\]' '\[x=-\\frac{5}{14}\\times \\frac{4}{1}\]' '\[x=-\\frac{5\\times 4}{14\\times 1}\]' '\[x=-\\frac{5\\times \\bcancel{2}\\times 2}' '{\\bcancel{2}\\times 7}\]' '\[x=-\\frac{10}{7}\]')
def test_eq20_autoresolution(): """Is this Equation correctly auto-resolved?""" eq = Equation( (Sum([Monomial(('+', 5, 1))]), Sum([ Expandable( (Item(1), Sum([Monomial(('+', 2, 0)), Monomial(('-', 5, 1))]))), Monomial(('-', 2, 0)) ])), number=1) assert eq.auto_resolution() == wrap_nb('$(\\text{E}_{1}): $' '\[5x=(2-5x)-2\]' '\[5x=2-5x-2\]' '\[5x=2-2-5x\]' '\[5x=-5x\]' '\[5x+5x=0\]' '\[(5+5)x=0\]' '\[10x=0\]' '\[x=0\]')