longemen3000

using Roots

function X_exact2!(K,X)
    k1 = K[1,2]
    k2 = K[2,1]
    #this computation is equivalent to the one done in Clapeyron.X_exact1
    _a = k2
    _b = 1 - k2 + k1
    _c = -1
    denom = _b + sqrt(_b*_b - 4*_a*_c)

longemen3000

#tested on Julia 1.8.3
using Downloads #stdlib, other versions use HTTP

const DOI2BIB_CACHE = Dict{String,String}()

function doi2bib(doi::String)

    if haskey(DOI2BIB_CACHE,doi)
        return DOI2BIB_CACHE[doi] #caching requests
    end

longemen3000

New features

• bubble_pressure, bubble_temperature, dew_pressure, and dew_temperature can now support custom methods. (subtyping BubblePointMethod or DewPointMethod). the default methods are now named ChemPotBubblePressure, ChemPotBubbleTemperature,ChemPotDewPressure,ChemPotDewTemperature. you can provide some or all necessary initial conditions to those new methods:

  res = bubble_pressure(model,T,x,ChemPotBubblePressure(;y0;p0;vol0))
  

• New bubble/dew methods based on isofugacity conditions: FugtBubblePressure, FugBubbleTemperature,FugDewPressure,FugtDewTemperature.

• All bubble methods now support leaving some components out of the bubble phase,via the nonvolatiles keyword, supported by all available bubble solvers. similarly, all dew methods support the noncondensables keyword to leave some components out of the dew phase.

longemen3000

using BenchmarkTools, Random
Random.seed!(123)
BenchmarkTools.DEFAULT_PARAMETERS.time_tolerance = 1.0e-11 # may or may not matter
BenchmarkTools.DEFAULT_PARAMETERS.evals = 1 # important

#==
alternative implementation of square root.
#aproximation of the square root using the float representation as a trick
used in providing an initial value for calculations of square roots.