# Generated from MathExpr.g4 by ANTLR 4.13.2
from antlr4 import *
from io import StringIO
import sys
if sys.version_info[1] > 5:
    from typing import TextIO
else:
    from typing.io import TextIO


def serializedATN():
    return [
        4,0,53,346,6,-1,2,0,7,0,2,1,7,1,2,2,7,2,2,3,7,3,2,4,7,4,2,5,7,5,
        2,6,7,6,2,7,7,7,2,8,7,8,2,9,7,9,2,10,7,10,2,11,7,11,2,12,7,12,2,
        13,7,13,2,14,7,14,2,15,7,15,2,16,7,16,2,17,7,17,2,18,7,18,2,19,7,
        19,2,20,7,20,2,21,7,21,2,22,7,22,2,23,7,23,2,24,7,24,2,25,7,25,2,
        26,7,26,2,27,7,27,2,28,7,28,2,29,7,29,2,30,7,30,2,31,7,31,2,32,7,
        32,2,33,7,33,2,34,7,34,2,35,7,35,2,36,7,36,2,37,7,37,2,38,7,38,2,
        39,7,39,2,40,7,40,2,41,7,41,2,42,7,42,2,43,7,43,2,44,7,44,2,45,7,
        45,2,46,7,46,2,47,7,47,2,48,7,48,2,49,7,49,2,50,7,50,2,51,7,51,2,
        52,7,52,1,0,1,0,1,1,1,1,1,2,1,2,1,3,1,3,1,3,1,3,1,4,1,4,1,4,1,4,
        1,5,1,5,1,5,1,5,1,6,1,6,1,6,1,6,1,6,1,7,1,7,1,7,1,7,1,7,1,8,1,8,
        1,8,1,8,1,8,1,9,1,9,1,9,1,9,1,9,1,9,1,10,1,10,1,10,1,10,1,10,1,11,
        1,11,1,11,1,11,1,11,1,12,1,12,1,12,1,12,1,12,1,13,1,13,1,13,1,13,
        1,13,1,13,1,14,1,14,1,14,1,14,1,14,1,14,1,15,1,15,1,15,1,15,1,15,
        1,15,1,16,1,16,1,16,1,16,1,17,1,17,1,17,1,17,1,17,1,18,1,18,1,18,
        1,19,1,19,1,19,1,19,1,20,1,20,1,20,1,20,1,21,1,21,1,21,1,21,1,21,
        1,22,1,22,1,22,1,22,1,22,1,23,1,23,1,23,1,23,1,23,1,24,1,24,1,24,
        1,24,1,24,1,25,1,25,1,25,1,25,1,25,1,25,1,26,1,26,1,26,1,26,1,26,
        1,26,1,27,1,27,1,27,1,27,1,27,1,27,1,28,1,28,1,28,1,28,1,28,1,29,
        1,29,1,29,1,29,1,29,1,29,1,30,1,30,1,30,1,30,1,30,1,30,1,31,1,31,
        1,31,1,31,1,32,1,32,1,32,1,32,1,32,1,33,1,33,1,33,1,33,1,33,1,33,
        1,34,1,34,1,34,1,34,1,35,1,35,1,35,1,35,1,35,1,36,1,36,1,36,1,36,
        1,36,1,36,1,37,1,37,1,38,1,38,1,39,1,39,1,40,1,40,1,41,1,41,1,42,
        1,42,1,43,1,43,1,43,1,44,1,44,1,45,1,45,1,45,1,46,1,46,1,47,1,47,
        1,47,1,48,1,48,1,48,1,49,1,49,1,49,1,49,1,49,3,49,318,8,49,1,50,
        4,50,321,8,50,11,50,12,50,322,1,50,1,50,4,50,327,8,50,11,50,12,50,
        328,3,50,331,8,50,1,51,1,51,5,51,335,8,51,10,51,12,51,338,9,51,1,
        52,4,52,341,8,52,11,52,12,52,342,1,52,1,52,0,0,53,1,1,3,2,5,3,7,
        4,9,5,11,6,13,7,15,8,17,9,19,10,21,11,23,12,25,13,27,14,29,15,31,
        16,33,17,35,18,37,19,39,20,41,21,43,22,45,23,47,24,49,25,51,26,53,
        27,55,28,57,29,59,30,61,31,63,32,65,33,67,34,69,35,71,36,73,37,75,
        38,77,39,79,40,81,41,83,42,85,43,87,44,89,45,91,46,93,47,95,48,97,
        49,99,50,101,51,103,52,105,53,1,0,5,2,0,69,69,101,101,1,0,48,57,
        3,0,65,90,95,95,97,122,4,0,48,57,65,90,95,95,97,122,3,0,9,10,13,
        13,32,32,352,0,1,1,0,0,0,0,3,1,0,0,0,0,5,1,0,0,0,0,7,1,0,0,0,0,9,
        1,0,0,0,0,11,1,0,0,0,0,13,1,0,0,0,0,15,1,0,0,0,0,17,1,0,0,0,0,19,
        1,0,0,0,0,21,1,0,0,0,0,23,1,0,0,0,0,25,1,0,0,0,0,27,1,0,0,0,0,29,
        1,0,0,0,0,31,1,0,0,0,0,33,1,0,0,0,0,35,1,0,0,0,0,37,1,0,0,0,0,39,
        1,0,0,0,0,41,1,0,0,0,0,43,1,0,0,0,0,45,1,0,0,0,0,47,1,0,0,0,0,49,
        1,0,0,0,0,51,1,0,0,0,0,53,1,0,0,0,0,55,1,0,0,0,0,57,1,0,0,0,0,59,
        1,0,0,0,0,61,1,0,0,0,0,63,1,0,0,0,0,65,1,0,0,0,0,67,1,0,0,0,0,69,
        1,0,0,0,0,71,1,0,0,0,0,73,1,0,0,0,0,75,1,0,0,0,0,77,1,0,0,0,0,79,
        1,0,0,0,0,81,1,0,0,0,0,83,1,0,0,0,0,85,1,0,0,0,0,87,1,0,0,0,0,89,
        1,0,0,0,0,91,1,0,0,0,0,93,1,0,0,0,0,95,1,0,0,0,0,97,1,0,0,0,0,99,
        1,0,0,0,0,101,1,0,0,0,0,103,1,0,0,0,0,105,1,0,0,0,1,107,1,0,0,0,
        3,109,1,0,0,0,5,111,1,0,0,0,7,113,1,0,0,0,9,117,1,0,0,0,11,121,1,
        0,0,0,13,125,1,0,0,0,15,130,1,0,0,0,17,135,1,0,0,0,19,140,1,0,0,
        0,21,146,1,0,0,0,23,151,1,0,0,0,25,156,1,0,0,0,27,161,1,0,0,0,29,
        167,1,0,0,0,31,173,1,0,0,0,33,179,1,0,0,0,35,183,1,0,0,0,37,188,
        1,0,0,0,39,191,1,0,0,0,41,195,1,0,0,0,43,199,1,0,0,0,45,204,1,0,
        0,0,47,209,1,0,0,0,49,214,1,0,0,0,51,219,1,0,0,0,53,225,1,0,0,0,
        55,231,1,0,0,0,57,237,1,0,0,0,59,242,1,0,0,0,61,248,1,0,0,0,63,254,
        1,0,0,0,65,258,1,0,0,0,67,263,1,0,0,0,69,269,1,0,0,0,71,273,1,0,
        0,0,73,278,1,0,0,0,75,284,1,0,0,0,77,286,1,0,0,0,79,288,1,0,0,0,
        81,290,1,0,0,0,83,292,1,0,0,0,85,294,1,0,0,0,87,296,1,0,0,0,89,299,
        1,0,0,0,91,301,1,0,0,0,93,304,1,0,0,0,95,306,1,0,0,0,97,309,1,0,
        0,0,99,317,1,0,0,0,101,320,1,0,0,0,103,332,1,0,0,0,105,340,1,0,0,
        0,107,108,5,40,0,0,108,2,1,0,0,0,109,110,5,41,0,0,110,4,1,0,0,0,
        111,112,5,44,0,0,112,6,1,0,0,0,113,114,5,115,0,0,114,115,5,105,0,
        0,115,116,5,110,0,0,116,8,1,0,0,0,117,118,5,99,0,0,118,119,5,111,
        0,0,119,120,5,115,0,0,120,10,1,0,0,0,121,122,5,116,0,0,122,123,5,
        97,0,0,123,124,5,110,0,0,124,12,1,0,0,0,125,126,5,97,0,0,126,127,
        5,115,0,0,127,128,5,105,0,0,128,129,5,110,0,0,129,14,1,0,0,0,130,
        131,5,97,0,0,131,132,5,99,0,0,132,133,5,111,0,0,133,134,5,115,0,
        0,134,16,1,0,0,0,135,136,5,97,0,0,136,137,5,116,0,0,137,138,5,97,
        0,0,138,139,5,110,0,0,139,18,1,0,0,0,140,141,5,97,0,0,141,142,5,
        116,0,0,142,143,5,97,0,0,143,144,5,110,0,0,144,145,5,50,0,0,145,
        20,1,0,0,0,146,147,5,115,0,0,147,148,5,105,0,0,148,149,5,110,0,0,
        149,150,5,104,0,0,150,22,1,0,0,0,151,152,5,99,0,0,152,153,5,111,
        0,0,153,154,5,115,0,0,154,155,5,104,0,0,155,24,1,0,0,0,156,157,5,
        116,0,0,157,158,5,97,0,0,158,159,5,110,0,0,159,160,5,104,0,0,160,
        26,1,0,0,0,161,162,5,97,0,0,162,163,5,115,0,0,163,164,5,105,0,0,
        164,165,5,110,0,0,165,166,5,104,0,0,166,28,1,0,0,0,167,168,5,97,
        0,0,168,169,5,99,0,0,169,170,5,111,0,0,170,171,5,115,0,0,171,172,
        5,104,0,0,172,30,1,0,0,0,173,174,5,97,0,0,174,175,5,116,0,0,175,
        176,5,97,0,0,176,177,5,110,0,0,177,178,5,104,0,0,178,32,1,0,0,0,
        179,180,5,97,0,0,180,181,5,98,0,0,181,182,5,115,0,0,182,34,1,0,0,
        0,183,184,5,115,0,0,184,185,5,113,0,0,185,186,5,114,0,0,186,187,
        5,116,0,0,187,36,1,0,0,0,188,189,5,108,0,0,189,190,5,110,0,0,190,
        38,1,0,0,0,191,192,5,108,0,0,192,193,5,111,0,0,193,194,5,103,0,0,
        194,40,1,0,0,0,195,196,5,101,0,0,196,197,5,120,0,0,197,198,5,112,
        0,0,198,42,1,0,0,0,199,200,5,115,0,0,200,201,5,109,0,0,201,202,5,
        105,0,0,202,203,5,110,0,0,203,44,1,0,0,0,204,205,5,115,0,0,205,206,
        5,109,0,0,206,207,5,97,0,0,207,208,5,120,0,0,208,46,1,0,0,0,209,
        210,5,116,0,0,210,211,5,109,0,0,211,212,5,105,0,0,212,213,5,110,
        0,0,213,48,1,0,0,0,214,215,5,116,0,0,215,216,5,109,0,0,216,217,5,
        97,0,0,217,218,5,120,0,0,218,50,1,0,0,0,219,220,5,116,0,0,220,221,
        5,110,0,0,221,222,5,111,0,0,222,223,5,114,0,0,223,224,5,109,0,0,
        224,52,1,0,0,0,225,226,5,115,0,0,226,227,5,110,0,0,227,228,5,111,
        0,0,228,229,5,114,0,0,229,230,5,109,0,0,230,54,1,0,0,0,231,232,5,
        102,0,0,232,233,5,108,0,0,233,234,5,111,0,0,234,235,5,111,0,0,235,
        236,5,114,0,0,236,56,1,0,0,0,237,238,5,99,0,0,238,239,5,101,0,0,
        239,240,5,105,0,0,240,241,5,108,0,0,241,58,1,0,0,0,242,243,5,114,
        0,0,243,244,5,111,0,0,244,245,5,117,0,0,245,246,5,110,0,0,246,247,
        5,100,0,0,247,60,1,0,0,0,248,249,5,103,0,0,249,250,5,97,0,0,250,
        251,5,109,0,0,251,252,5,109,0,0,252,253,5,97,0,0,253,62,1,0,0,0,
        254,255,5,112,0,0,255,256,5,111,0,0,256,257,5,119,0,0,257,64,1,0,
        0,0,258,259,5,115,0,0,259,260,5,105,0,0,260,261,5,103,0,0,261,262,
        5,109,0,0,262,66,1,0,0,0,263,264,5,99,0,0,264,265,5,108,0,0,265,
        266,5,97,0,0,266,267,5,109,0,0,267,268,5,112,0,0,268,68,1,0,0,0,
        269,270,5,102,0,0,270,271,5,102,0,0,271,272,5,116,0,0,272,70,1,0,
        0,0,273,274,5,105,0,0,274,275,5,102,0,0,275,276,5,102,0,0,276,277,
        5,116,0,0,277,72,1,0,0,0,278,279,5,97,0,0,279,280,5,110,0,0,280,
        281,5,103,0,0,281,282,5,108,0,0,282,283,5,101,0,0,283,74,1,0,0,0,
        284,285,5,43,0,0,285,76,1,0,0,0,286,287,5,45,0,0,287,78,1,0,0,0,
        288,289,5,42,0,0,289,80,1,0,0,0,290,291,5,47,0,0,291,82,1,0,0,0,
        292,293,5,37,0,0,293,84,1,0,0,0,294,295,5,94,0,0,295,86,1,0,0,0,
        296,297,5,62,0,0,297,298,5,61,0,0,298,88,1,0,0,0,299,300,5,62,0,
        0,300,90,1,0,0,0,301,302,5,60,0,0,302,303,5,61,0,0,303,92,1,0,0,
        0,304,305,5,60,0,0,305,94,1,0,0,0,306,307,5,61,0,0,307,308,5,61,
        0,0,308,96,1,0,0,0,309,310,5,33,0,0,310,311,5,61,0,0,311,98,1,0,
        0,0,312,313,5,112,0,0,313,318,5,105,0,0,314,315,5,80,0,0,315,318,
        5,73,0,0,316,318,7,0,0,0,317,312,1,0,0,0,317,314,1,0,0,0,317,316,
        1,0,0,0,318,100,1,0,0,0,319,321,7,1,0,0,320,319,1,0,0,0,321,322,
        1,0,0,0,322,320,1,0,0,0,322,323,1,0,0,0,323,330,1,0,0,0,324,326,
        5,46,0,0,325,327,7,1,0,0,326,325,1,0,0,0,327,328,1,0,0,0,328,326,
        1,0,0,0,328,329,1,0,0,0,329,331,1,0,0,0,330,324,1,0,0,0,330,331,
        1,0,0,0,331,102,1,0,0,0,332,336,7,2,0,0,333,335,7,3,0,0,334,333,
        1,0,0,0,335,338,1,0,0,0,336,334,1,0,0,0,336,337,1,0,0,0,337,104,
        1,0,0,0,338,336,1,0,0,0,339,341,7,4,0,0,340,339,1,0,0,0,341,342,
        1,0,0,0,342,340,1,0,0,0,342,343,1,0,0,0,343,344,1,0,0,0,344,345,
        6,52,0,0,345,106,1,0,0,0,7,0,317,322,328,330,336,342,1,6,0,0
    ]

class MathExprLexer(Lexer):

    atn = ATNDeserializer().deserialize(serializedATN())

    decisionsToDFA = [ DFA(ds, i) for i, ds in enumerate(atn.decisionToState) ]

    T__0 = 1
    T__1 = 2
    T__2 = 3
    SIN = 4
    COS = 5
    TAN = 6
    ASIN = 7
    ACOS = 8
    ATAN = 9
    ATAN2 = 10
    SINH = 11
    COSH = 12
    TANH = 13
    ASINH = 14
    ACOSH = 15
    ATANH = 16
    ABS = 17
    SQRT = 18
    LN = 19
    LOG = 20
    EXP = 21
    SMIN = 22
    SMAX = 23
    TMIN = 24
    TMAX = 25
    TNORM = 26
    SNORM = 27
    FLOOR = 28
    CEIL = 29
    ROUND = 30
    GAMMA = 31
    POWE = 32
    SIGM = 33
    CLAMP = 34
    SFFT = 35
    SIFFT = 36
    ANGL = 37
    PLUS = 38
    MINUS = 39
    MULT = 40
    DIV = 41
    MOD = 42
    POW = 43
    GE = 44
    GT = 45
    LE = 46
    LT = 47
    EQ = 48
    NE = 49
    CONSTANT = 50
    NUMBER = 51
    VARIABLE = 52
    WS = 53

    channelNames = [ u"DEFAULT_TOKEN_CHANNEL", u"HIDDEN" ]

    modeNames = [ "DEFAULT_MODE" ]

    literalNames = [ "<INVALID>",
            "'('", "')'", "','", "'sin'", "'cos'", "'tan'", "'asin'", "'acos'", 
            "'atan'", "'atan2'", "'sinh'", "'cosh'", "'tanh'", "'asinh'", 
            "'acosh'", "'atanh'", "'abs'", "'sqrt'", "'ln'", "'log'", "'exp'", 
            "'smin'", "'smax'", "'tmin'", "'tmax'", "'tnorm'", "'snorm'", 
            "'floor'", "'ceil'", "'round'", "'gamma'", "'pow'", "'sigm'", 
            "'clamp'", "'fft'", "'ifft'", "'angle'", "'+'", "'-'", "'*'", 
            "'/'", "'%'", "'^'", "'>='", "'>'", "'<='", "'<'", "'=='", "'!='" ]

    symbolicNames = [ "<INVALID>",
            "SIN", "COS", "TAN", "ASIN", "ACOS", "ATAN", "ATAN2", "SINH", 
            "COSH", "TANH", "ASINH", "ACOSH", "ATANH", "ABS", "SQRT", "LN", 
            "LOG", "EXP", "SMIN", "SMAX", "TMIN", "TMAX", "TNORM", "SNORM", 
            "FLOOR", "CEIL", "ROUND", "GAMMA", "POWE", "SIGM", "CLAMP", 
            "SFFT", "SIFFT", "ANGL", "PLUS", "MINUS", "MULT", "DIV", "MOD", 
            "POW", "GE", "GT", "LE", "LT", "EQ", "NE", "CONSTANT", "NUMBER", 
            "VARIABLE", "WS" ]

    ruleNames = [ "T__0", "T__1", "T__2", "SIN", "COS", "TAN", "ASIN", "ACOS", 
                  "ATAN", "ATAN2", "SINH", "COSH", "TANH", "ASINH", "ACOSH", 
                  "ATANH", "ABS", "SQRT", "LN", "LOG", "EXP", "SMIN", "SMAX", 
                  "TMIN", "TMAX", "TNORM", "SNORM", "FLOOR", "CEIL", "ROUND", 
                  "GAMMA", "POWE", "SIGM", "CLAMP", "SFFT", "SIFFT", "ANGL", 
                  "PLUS", "MINUS", "MULT", "DIV", "MOD", "POW", "GE", "GT", 
                  "LE", "LT", "EQ", "NE", "CONSTANT", "NUMBER", "VARIABLE", 
                  "WS" ]

    grammarFileName = "MathExpr.g4"

    def __init__(self, input=None, output:TextIO = sys.stdout):
        super().__init__(input, output)
        self.checkVersion("4.13.2")
        self._interp = LexerATNSimulator(self, self.atn, self.decisionsToDFA, PredictionContextCache())
        self._actions = None
        self._predicates = None