如何转换此SageMath代码以在Python中运行?

问题描述

要使此代码在Python中运行,我需要做什么?我从here获得了代码。如果我在CoCalc的SageMath工作簿中运行它,则无需调整即可使用。导入鼠尾草和numpy后在Python中运行它时,会出现各种名称属性错误

def mean_x(factor,values):
    return sum([cos(2*pi*v/factor) for v in values])/len(values)

def mean_y(factor,values):
    return sum([sin(2*pi*v/factor) for v in values])/len(values)

def calculatePeriodAppeal(factor,values):
    mx = mean_x(factor,values)
    my = mean_y(factor,values)
    appeal = sqrt(mx^2+my^2)
    return appeal

def calculateBestLinear(factor,values).n()
    my = mean_y(factor,values).n()
    y0 = factor*atan2(my,mx)/(2*pi).n()
    err = 1-sqrt(mx^2+my^2).n()
    return [factor*x + y0,err]

def calculateGCDAppeal(factor,values)
    appeal = 1 - sqrt((mx-1)^2+my^2)/2
    return appeal

testSeq = [0,125,211,287,408,520,650,735,816,942,1060] 
gcd = calculateGCDAppeal(x,testSeq)
agcd = find_local_maximum(gcd,2,100)
print(agcd)
plot(gcd,(x,100))

解决方法

第一个错误是

RuntimeError: Use ** for exponentiation,not '^',which means xor
in Python,and has the wrong precedence.

一旦修复,就会丢失各种导入内容。

使用Sage的import_statements函数查找它们。

sage: import_statements(x)
from sage.calculus.predefined import x

sage: import_statements(sum)
from sage.misc.functional import symbolic_sum

sage: import_statements(cos)
from sage.functions.trig import cos

sage: import_statements(sin)
from sage.functions.trig import sin

最后,代码可能类似于:

from sage.calculus.predefined import x
from sage.misc.functional import symbolic_sum as sum
from sage.functions.trig import cos,sin

def mean_x(factor,values):
    return sum(cos(2*pi*v/factor) for v in values) / len(values)

def mean_y(factor,values):
    return sum(sin(2*pi*v/factor) for v in values) / len(values)

def calculatePeriodAppeal(factor,values):
    mx = mean_x(factor,values)
    my = mean_y(factor,values)
    appeal = sqrt(mx**2 + my**2)
    return appeal

def calculateBestLinear(factor,values).n()
    my = mean_y(factor,values).n()
    y0 = factor*atan2(my,mx)/(2*pi).n()
    err = 1-sqrt(mx**2 + my**2).n()
    return [factor*x + y0,err]

def calculateGCDAppeal(factor,values)
    appeal = 1 - sqrt((mx - 1)**2 + my**2)/2
    return appeal

testSeq = [0,125,211,287,408,520,650,735,816,942,1060]
gcd = calculateGCDAppeal(x,testSeq)
agcd = find_local_maximum(gcd,2,100)
print(agcd)
plot(gcd,(x,100))

在Ask Sage中搜索“ import_statements”,那里有一些答案 对此主题进行更详细的介绍。