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Python Sympy将符号矩阵替换为(转换为)符号

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q_vec, omega_vec, q1, q2, q3, w1, w2, w3 = \
        sym.symbols('q_vec, omega_vec, q1, q2, q3, w1, w2, w3')

q_0_dot_str = '.5 * dot(q_vec, omega_vec)'
q_0_dot_symp = sym.sympify(q_0_dot_str)
q_0_dot_symp = q_0_dot_symp.subs([(q_vec, sym.Matrix([q1, q2, q3]), \
                               (omega_vec, sym.Matrix([w1, w2, w3]).T))])
q_0_dot_fcn = lambdify((q1, q2, q3, w1, w2, w3), q_0_dot_symp, 'numpy')

-要么-

q_0_dot_str = '.5 * dot(q_vec, omega_vec)'
q_0_dot_symp = sym.sympify(q_0_dot_str)
q_0_dot_symp = q_0_dot_symp.subs([(q_vec, sym.Matrix([q1, q2, q3]), \
                               (omega_vec, sym.Matrix([w1, w2, w3]).T))])
q_0_dot_symp = q_0_dot_symp.xreplace([{q_vec: sym.Matrix([q1, q2, q3])},\
                                   {omega_vec: sym.Matrix([w1, w2, w3]).T}])
q_0_dot_fcn = lambdify((q1, q2, q3, w1, w2, w3), q_0_dot_symp, 'numpy')

但这些都不奏效 . 当我评估以下内容时:

q_0_dot_fcn(1,2,3,4,5,6)

我明白了:

0.5*omega_vec*q_vec

而不是它为我在符号矩阵中提供的符号变量提供的值(然后获得实际的m =数值结果) .

1 回答

  • 0

    您在子调用中输入了一个拼写错误 . 它应该是

    q_0_dot_symp = q_0_dot_symp.subs([(q_vec, sym.Matrix([q1, q2, q3])), \
                                   (omega_vec, sym.Matrix([w1, w2, w3]).T)])
    

    代替

    q_0_dot_symp = q_0_dot_symp.subs([(q_vec, sym.Matrix([q1, q2, q3]), \
                                   (omega_vec, sym.Matrix([w1, w2, w3]).T))])
    

    (注意括号的位置)

    完成此修复后,它在SymPy 1.0中适用于我

    In [1]: import sympy as sym
    
    In [2]: q_vec, omega_vec, q1, q2, q3, w1, w2, w3 = \
       ...:         sym.symbols('q_vec, omega_vec, q1, q2, q3, w1, w2, w3')
    
    In [3]: q_0_dot_str = '.5 * dot(q_vec, omega_vec)'
    
    In [4]: q_0_dot_symp = sym.sympify(q_0_dot_str)
    
    In [5]: q_0_dot_symp = q_0_dot_symp.subs([(q_vec, sym.Matrix([q1, q2, q3])), \
                                   (omega_vec, sym.Matrix([w1, w2, w3]).T)])
    
    In [6]: q_0_dot_fcn = lambdify((q1, q2, q3, w1, w2, w3), q_0_dot_symp, 'numpy')
    
    In [7]: q_0_dot_fcn(1,2,3,4,5,6)
    Out[7]:
    array([[ 2. ,  2.5,  3. ],
           [ 4. ,  5. ,  6. ],
           [ 6. ,  7.5,  9. ]])
    

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