mirror of
https://github.com/titanscouting/tra-analysis.git
synced 2024-09-20 17:07:55 +00:00
106 lines
5.4 KiB
Python
106 lines
5.4 KiB
Python
try:
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import numpy as np
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has_numpy = True
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except ImportError:
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import math
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has_numpy = False
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try:
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import scipy.constants
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has_scipy = True
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except ImportError:
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has_scipy = False
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import operator as op
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from .similar import sim, nsim, gsim, lsim
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def equation_extend(core):
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def product(*args):
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if len(args) == 1 and has_numpy:
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return np.prod(args[0])
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else:
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return reduce(op.mul,args,1)
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def sumargs(*args):
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if len(args) == 1:
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return sum(args[0])
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else:
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return sum(args)
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core.addOp('+',"({0:s} + {1:s})","\\left({0:s} + {1:s}\\right)",False,3,op.add)
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core.addOp('-',"({0:s} - {1:s})","\\left({0:s} - {1:s}\\right)",False,3,op.sub)
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core.addOp('*',"({0:s} * {1:s})","\\left({0:s} \\times {1:s}\\right)",False,2,op.mul)
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core.addOp('/',"({0:s} / {1:s})","\\frac{{{0:s}}}{{{1:s}}}",False,2,op.truediv)
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core.addOp('%',"({0:s} % {1:s})","\\left({0:s} \\bmod {1:s}\\right)",False,2,op.mod)
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core.addOp('^',"({0:s} ^ {1:s})","{0:s}^{{{1:s}}}",False,1,op.pow)
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core.addOp('**',"({0:s} ^ {1:s})","{0:s}^{{{1:s}}}",False,1,op.pow)
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core.addOp('&',"({0:s} & {1:s})","\\left({0:s} \\land {1:s}\\right)",False,4,op.and_)
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core.addOp('|',"({0:s} | {1:s})","\\left({0:s} \\lor {1:s}\\right)",False,4,op.or_)
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core.addOp('</>',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
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core.addOp('&|',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
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core.addOp('|&',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
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core.addOp('==',"({0:s} == {1:s})","\\left({0:s} = {1:s}\\right)",False,5,op.eq)
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core.addOp('=',"({0:s} == {1:s})","\\left({0:s} = {1:s}\\right)",False,5,op.eq)
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core.addOp('~',"({0:s} ~ {1:s})","\\left({0:s} \\approx {1:s}\\right)",False,5,sim)
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core.addOp('!~',"({0:s} !~ {1:s})","\\left({0:s} \\not\\approx {1:s}\\right)",False,5,nsim)
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core.addOp('!=',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
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core.addOp('<>',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
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core.addOp('><',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
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core.addOp('<',"({0:s} < {1:s})","\\left({0:s} < {1:s}\\right)",False,5,op.lt)
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core.addOp('>',"({0:s} > {1:s})","\\left({0:s} > {1:s}\\right)",False,5,op.gt)
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core.addOp('<=',"({0:s} <= {1:s})","\\left({0:s} \\leq {1:s}\\right)",False,5,op.le)
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core.addOp('>=',"({0:s} >= {1:s})","\\left({0:s} \\geq {1:s}\\right)",False,5,op.ge)
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core.addOp('=<',"({0:s} <= {1:s})","\\left({0:s} \\leq {1:s}\\right)",False,5,op.le)
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core.addOp('=>',"({0:s} >= {1:s})","\\left({0:s} \\geq {1:s}\\right)",False,5,op.ge)
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core.addOp('<~',"({0:s} <~ {1:s})","\\left({0:s} \lessapprox {1:s}\\right)",False,5,lsim)
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core.addOp('>~',"({0:s} >~ {1:s})","\\left({0:s} \\gtrapprox {1:s}\\right)",False,5,gsim)
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core.addOp('~<',"({0:s} <~ {1:s})","\\left({0:s} \lessapprox {1:s}\\right)",False,5,lsim)
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core.addOp('~>',"({0:s} >~ {1:s})","\\left({0:s} \\gtrapprox {1:s}\\right)",False,5,gsim)
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core.addUnaryOp('!',"(!{0:s})","\\neg{0:s}",op.not_)
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core.addUnaryOp('-',"-{0:s}","-{0:s}",op.neg)
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core.addFn('abs',"abs({0:s})","\\left|{0:s}\\right|",1,op.abs)
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core.addFn('sum',"sum({0:s})","\\sum\\left({0:s}\\right)",'+',sumargs)
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core.addFn('prod',"prod({0:s})","\\prod\\left({0:s}\\right)",'+',product)
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if has_numpy:
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core.addFn('floor',"floor({0:s})","\\lfloor {0:s} \\rfloor",1,np.floor)
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core.addFn('ceil',"ceil({0:s})","\\lceil {0:s} \\rceil",1,np.ceil)
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core.addFn('round',"round({0:s})","\\lfloor {0:s} \\rceil",1,np.round)
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core.addFn('sin',"sin({0:s})","\\sin\\left({0:s}\\right)",1,np.sin)
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core.addFn('cos',"cos({0:s})","\\cos\\left({0:s}\\right)",1,np.cos)
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core.addFn('tan',"tan({0:s})","\\tan\\left({0:s}\\right)",1,np.tan)
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core.addFn('re',"re({0:s})","\\Re\\left({0:s}\\right)",1,np.real)
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core.addFn('im',"re({0:s})","\\Im\\left({0:s}\\right)",1,np.imag)
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core.addFn('sqrt',"sqrt({0:s})","\\sqrt{{{0:s}}}",1,np.sqrt)
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core.addConst("pi",np.pi)
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core.addConst("e",np.e)
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core.addConst("Inf",np.Inf)
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core.addConst("NaN",np.NaN)
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else:
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core.addFn('floor',"floor({0:s})","\\lfloor {0:s} \\rfloor",1,math.floor)
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core.addFn('ceil',"ceil({0:s})","\\lceil {0:s} \\rceil",1,math.ceil)
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core.addFn('round',"round({0:s})","\\lfloor {0:s} \\rceil",1,round)
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core.addFn('sin',"sin({0:s})","\\sin\\left({0:s}\\right)",1,math.sin)
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core.addFn('cos',"cos({0:s})","\\cos\\left({0:s}\\right)",1,math.cos)
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core.addFn('tan',"tan({0:s})","\\tan\\left({0:s}\\right)",1,math.tan)
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core.addFn('re',"re({0:s})","\\Re\\left({0:s}\\right)",1,complex.real)
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core.addFn('im',"re({0:s})","\\Im\\left({0:s}\\right)",1,complex.imag)
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core.addFn('sqrt',"sqrt({0:s})","\\sqrt{{{0:s}}}",1,math.sqrt)
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core.addConst("pi",math.pi)
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core.addConst("e",math.e)
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core.addConst("Inf",float("Inf"))
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core.addConst("NaN",float("NaN"))
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if has_scipy:
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core.addConst("h",scipy.constants.h)
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core.addConst("hbar",scipy.constants.hbar)
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core.addConst("m_e",scipy.constants.m_e)
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core.addConst("m_p",scipy.constants.m_p)
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core.addConst("m_n",scipy.constants.m_n)
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core.addConst("c",scipy.constants.c)
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core.addConst("N_A",scipy.constants.N_A)
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core.addConst("mu_0",scipy.constants.mu_0)
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core.addConst("eps_0",scipy.constants.epsilon_0)
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core.addConst("k",scipy.constants.k)
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core.addConst("G",scipy.constants.G)
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core.addConst("g",scipy.constants.g)
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core.addConst("q",scipy.constants.e)
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core.addConst("R",scipy.constants.R)
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core.addConst("sigma",scipy.constants.e)
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core.addConst("Rb",scipy.constants.Rydberg) |