########################################################### # RapydScript Standard Library # Author: Alexander Tsepkov # Copyright 2013 Pyjeon Software LLC # License: Apache License 2.0 # This library is covered under Apache license, so that # you can distribute it with your RapydScript applications. ########################################################### # basic implementation of Python's 'math' library # NOTE: this is only meant to aid those porting lots of Python code into RapydScript, # if you're writing a new RapydScript application, in most cases you probably want to # use JavaScript's Math module directly instead pi = Math.PI e = Math.E ######################################## # Number-theoretic and representation functions ######################################## def ceil(x): return Math.ceil(x) def copysign(x, y): x = Math.abs(x) if y < 0: return -x else: return x def fabs(x): return Math.abs(x) def factorial(x): if Math.abs(int(x)) != x: raise ValueError("factorial() only accepts integral values") factorial.cache = [] r = def(n): if n == 0 or n == 1: return 1 if not factorial.cache[n]: factorial.cache[n] = r(n-1) * n return factorial.cache[n] return r(x) def floor(x): return Math.floor(x) def fmod(x, y): # javascript's % operator isn't consistent with C fmod implementation, this function is while y <= x: x -= y return x def fsum(iterable): # like Python's fsum, this method is much more resilient to rounding errors than regular sum partials = [] # sorted, non-overlapping partial sums for x in iterable: i = 0 for y in partials: if Math.abs(x) < Math.abs(y): x, y = y, x hi = x + y lo = y - (hi - x) if lo: partials[i] = lo i += 1 x = hi #partials[i:] = [x] partials.splice(i, partials.length-i, x) return sum(partials) def isinf(x): return not isFinite(x) isnan = isNaN def modf(x): m = fmod(x, 1) return m, x-m def trunc(x): return x | 0 ######################################## # Power and logarithmic functions ######################################## def exp(x): return Math.exp(x) def expm1(x): # NOTE: Math.expm1() is currently only implemented in Firefox, this provides alternative implementation # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/expm1 #return Math.expm1(x) if Math.abs(x) < 1e-5: return x + 0.5*x*x else: return Math.exp(x) - 1 def log(x, base=e): return Math.log(x)/Math.log(base) def log1p(x): # NOTE: Math.log1p() is currently only implemented in Firefox, this provides alternative implementation # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/log1p # this version has been taken from http://phpjs.org/functions/log1p/ # admittedly it's not as accurate as MDN version, as you can see from math.log1p(1) result ret = 0 n = 50 if x <= -1: return Number.NEGATIVE_INFINITY if x < 0 or x > 1: return Math.log(1 + x) for i in range(1, n): if i % 2 == 0: ret -= Math.pow(x, i) / i else: ret += Math.pow(x, i) / i return ret def log10(x): # NOTE: Math.log10() is currently only implemented in Firefox, this provides alternative implementation # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/log10 # I didn't find a more accurate algorithm so I'm using the basic implementation return Math.log(x)/Math.LN10 def pow(x, y): if x < 0 and int(y) != y: raise ValueError('math domain error') if isnan(y) and x == 1: return 1 return Math.pow(x, y) def sqrt(x): return Math.sqrt(x) ######################################## # Trigonometric functions ######################################## def acos(x): return Math.acos(x) def asin(x): return Math.asin(x) def atan(x): return Math.atan(x) def atan2(y, x): return Math.atan2(y, x) def cos(x): return Math.cos(x) def sin(x): return Math.sin(x) def hypot(x, y): return Math.sqrt(x*x + y*y) def tan(x): return Math.tan(x) ######################################## # Angular conversion ######################################## def degrees(x): return x*180/pi; def radians(x): return x*pi/180 ######################################## # Hyperbolic functions ######################################## def acosh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/acosh return Math.log(x + Math.sqrt(x*x - 1)) def asinh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/asinh return Math.log(x + Math.sqrt(x*x + 1)) def atanh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/atanh return 0.5 * Math.log((1 + x) / (1 - x)) def cosh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/cosh return (Math.exp(x) + Math.exp(-x)) / 2 def sinh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/sinh return (Math.exp(x) - Math.exp(-x)) / 2 def tanh(x): # NOTE: will be replaced with official, when it becomes mainstream # https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Math/tanh return (Math.exp(x) - Math.exp(-x)) / (Math.exp(x) + Math.exp(-x)) #print(math.ceil(4.2)) #print(math.floor(4.2)) #print(math.fabs(-6)) #print(math.copysign(-5, 7)) #print(math.factorial(4)) #print(math.fmod(-1e100, 1e100)) # #d = [0.9999999, 1, 2, 3] #print(sum(d), math.fsum(d)) #print(math.isinf(5), math.isinf(Infinity)) #print(math.modf(5.5)) #print(math.trunc(2.6), math.trunc(-2.6)) #print(math.exp(1e-5), math.expm1(1e-5)) #print(math.log(10), math.log(10, 1000)) #print(math.log1p(1e-15), math.log1p(1)) #print(math.log10(1000), math.log(1000, 10)) #print(math.pow(1, 0), math.pow(1, NaN), math.pow(0, 0), math.pow(NaN, 0), math.pow(4,3), math.pow(100, -2)) #print(math.hypot(3,4)) #print(math.acosh(2), math.asinh(1), math.atanh(0.5), math.cosh(1), math.cosh(-1), math.sinh(1), math.tanh(1))