Directly use it in Python -- Translation errors, Math meaning errors, and how to set simple output

[WinterStraw]

#97
I am following this issue to explore further.
I found several problems

1. I successfully set analyze_math_meaning to True to get more meaningful output But some of the mathematical logic is still wrong. For example, f^{-1}(x) should be the inverse function of f x, but the Chinese result is f superscript negative 1 x.
   ############
   Output: [['标记'], [['f']], ['上标'], [[['负']], [['1']]], ['结束标记']], [['左小括']], [['x']], [['右小括']]
   Literal translation result: [[' tags'], [[' f ']], [' superscript '], [[[' negative ']], [[' 1 ']]], [' end tag]], [[' left small enclosed]], [[' x ']], [[' right small enclosed]]
   ############

2. The output still has a description similar to the left/right parentheses
   ############
   The example in the first question already demonstrates this problem
   ############

3. Some symbols are not translated
   ############
   [[''], [[''], [['c']], ['的平方']], [['等于']], [[''], [['a']], ['的平方']], [['加']], [[''], [['b']], ['的平方']], [['减']], [['2']], [['a']], [['b']], [], [['c']], [['d']], [['o']], [['t']], [], [['c']], [['o']], [['s']], [['左小括']], [], [['g']], [['a']], [['m']], [['m']], [['a']], [['右小括']], ['']]
   the 'cos' and 'gamma' are good, but cdot should be translated as '点乘‘ [dot product]
   ############

My code:
‘’‘
import latex2mathml.converter
from A8M_PM import MathContent, initialize
import config

try:
Access8MathConfig = config.conf["Access8Math"]
except AttributeError:
Access8MathConfig = {
"settings": {
"analyze_math_meaning": True,
"language": "zh_CN",
"LaTeX_delimiter": 'bracket',
"Nemeth_delimiter": "at",
"auto_generate": False,
"dictionary_generate": True,
"no_move_beep": True,
"command_mode": False,
"navigate_mode": False,
"shortcut_mode": False,
"writeNavAudioIndication": True,
"writeNavAcrossLine": True,
"LaTeX_delimiter": "bracket",
"Nemeth_delimiter": "at",
"speech_source": "Access8Math",
"braille_source": "Access8Math",
"interact_source": "Access8Math"
},
"rules": {
"SingleMsubsupType": True,
"SingleMsubType": True,
"SingleMsupType": True,
"SingleMunderoverType": True,
"SingleMunderType": True,
"SingleMoverType": True,
"SingleFractionType": True,
"SingleSqrtType": True,
"PowerType": True,
"SquarePowerType": True,
"CubePowerType": True,
"SetType": True,
"AbsoluteType": True,
"MatrixType": True,
"DeterminantType": True,
"AddIntegerFractionType": True,
}
}

initialize(Access8MathConfig)

def get_output(latex):
print('*' * 80)
mathMl = latex2mathml.converter.convert(latex)
mathcontent = MathContent("zh_CN", mathMl)
print(mathcontent.pointer.serialized())

if name == "main":
print('*' * 80)

latex_list = []

latex_list.append( r"(a + b)^2 = a^2 + 2ab + b^2" )

latex_list.append( r"x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}")

latex_list.append(r"\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}")

latex_list.append(r"f^{-1}(x) = \frac{1}{f'(f^{-1}(x))}")

latex_list.append(r"c^2 = a^2 + b^2 - 2ab \\cdot \\cos(\\gamma)")

for latex in latex_list:
    get_output(latex)

‘’‘