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# stevengj/definitive derivative BesselJ.ipynb

Created April 29, 2019 15:56
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Bessel J derivative with respect to order
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 { "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "using PyPlot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bessel derivatives with respect to order\n", "\n", "Here, we are trying to compute the derivative of the Bessel function $J_\\alpha(z)$ with respect to $\\alpha$, accurately and (hopefully) quickly. Define:\n", "\n", "$$\n", "\\hat{J}_\\alpha(z) = \\frac{\\partial}{\\partial \\alpha} J_\\alpha(z)\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finite-difference approximation\n", "\n", "\n", "A trivial approach is finite differences (FD), but these are hard to make accurate (without using something like Richardson extrapolation). Still, the FD version is a good benchmark for checking more sophisticated variants:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Ĵ_fd (generic function with 2 methods)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Ĵ_fd{T<:Real}(α::T, z, δ=sqrt(eps(T))) = (besselj(α+δ, z) - besselj(α-δ,z)) / (2δ)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another option is the [infinite-series representation](http://dlmf.nist.gov/10.15) (obtained by simply differentiating the usual Frobenius series for the Bessel function):\n", "\n", "$$\n", "J_\\alpha(z) = (z/2)^\\alpha \\sum_{k=0}^\\infty (-z^2/4)^k \\frac{1}{\\Gamma(\\alpha+k+1) \\Gamma(k+1)}\n", "$$\n", "\n", "$$\n", "\\hat{J}_\\alpha(z) = J_\\alpha(z) \\ln(z/2) - (z/2)^\\alpha \\sum_{k=0}^\\infty (-z^2/4)^k \\frac{\\psi(\\alpha+k+1)}{\\Gamma(\\alpha+k+1) \\Gamma(k+1)}\n", "$$\n", "where $\\psi$ is the digamma function. Note that $\\Gamma(x+1) = x \\Gamma(x)$ and $\\psi(x+1) = \\psi(x) + 1/x$; this is helpful in evaluating the series terms quickly (so that we don't need to call $\\Gamma$ or $\\psi$ on each iteration)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###### Case for order close to negative integer values\n", "\n", "The Gamma function is not defined on negative integer.\n", "\n", "We thus use the recurrence formulae to keep the calculation of Gamma at positive integers.\n", "\n", "$$\n", "00\n", " ψ = ψ + inv(α+k) # update digamma\n", " g/= (α+k) # update Γ factors\n", " end\n", " pow /= k \n", "\n", " term = coef * pow * ψ * g\n", " aĴ = absquick(Ĵ)\n", " (absquick(term) <= tol*aĴ || !isfinite(aĴ)) && break\n", " Ĵ -= term\n", " pow *= z4\n", " k += 1\n", " end\n", " return (Ĵ,k)\n", "end\n", "\n", "function Ĵ_series(α::Real, z::Number, tol::Real)\n", " Tr = promote_type(Float64,typeof(α),real(typeof(z)),typeof(tol))\n", " Tz = promote_type(Tr, typeof(z))\n", " return Ĵ_series(Tr(α), Tz(z), Tr(tol))\n", "end\n", "\n", "function Ĵ_series(α::Real, z::Number)\n", " Tr = promote_type(Float64,typeof(α),real(typeof(z)))\n", " Tz = promote_type(Tr, typeof(z))\n", " return Ĵ_series(Tr(α), Tz(z))\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Asymptotic series\n", "\n", "If you look at [how the Bessel functions are typically computed](http://dl.acm.org/citation.cfm?id=214331), they switch between different approximations depending on \\alpha and z; the power series is used only for sufficiently small z. For sufficiently large |z|, one usually switches over to an [asymptotic series for the Bessel function](http://dlmf.nist.gov/10.17).\n", "\n", "So, it might make sense to differentiate the asymptotic series with respect to \\alpha, and use the resulting expression for \\hat{J} when z is large enough. Unfortunately, \\alpha enters the asymptotic expressions in a fairly complicated way that is annoying to differentiate:\n", "\n", "$$\n", "J_\\alpha(z) \\approx \\sqrt{\\frac{2}{\\pi z}}\n", "\\left[\n", "\\cos \\omega \\sum_{k=0}^\\infty (-1)^k \\frac{a_{2k}(\\alpha)}{z^{2k}}\n", "-\\sin \\omega \\sum_{k=0}^\\infty (-1)^k \\frac{a_{2k+1}(\\alpha)}{z^{2k+1}}\n", "\\right]\n", "$$\n", "\n", "where \\omega=z - \\alpha\\pi/2 - \\pi/4 and\n", "\n", "$$\n", "a_k(\\alpha) = \\frac{(4\\alpha^2 - 1^2)(4\\alpha^2 - 3^2)\\cdots(4\\alpha^2-[2k-1]^2)}{k!8^k} = a_{k-1}(\\alpha) \\frac{(4\\alpha^2-[2k-1]^2)}{8k}\n", "$$\n", "\n", "with a_0(\\alpha) = 1.\n", "\n", "(These [asymptotic expansions](http://en.wikipedia.org/wiki/Asymptotic_expansion) are odd beasts if you are not used to them: they converge if you let z\\to\\infty for a fixed number of terms, but *diverge* if you fix z and increase the number of terms. So, you have to be careful to use just the right number of terms based on the minimum |z| being considered.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Differentiating this, we get \n", "$$\n", "\\hat{J}_\\alpha(z) \\approx \n", "\\sqrt{\\frac{2}{\\pi z}} \\times\n", " \\sum_{k=0}^\\infty (-1)^k \\left[ \\frac{\\pi}{2} \\sin \\omega \\frac{a_{2k}(\\alpha)}{z^{2k}}\n", "+ \\frac{\\pi}{2} \\cos \\omega \\frac{a_{2k+1}(\\alpha)}{z^{2k+1}}\n", "+ \\cos \\omega \\frac{a_{2k}'(\\alpha)}{z^{2k}}\n", "-\\sin \\omega \\frac{a_{2k+1}'(\\alpha)}{z^{2k+1}}\n", "\\right]\n", "$$\n", "where a'_k satisfies the recurrence:\n", "$$\n", "a_k'(\\alpha) = a_{k-1}'(\\alpha) \\frac{(4\\alpha^2-[2k-1]^2)}{8k} +\n", "a_{k-1}(\\alpha) \\frac{\\alpha}{k}\n", "\n", "with $a_0' = 0$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Ĵ_asymp2 (generic function with 1 method)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function Ĵ_asymp2(α, z, kmax)\n", " pi2 = pi*0.5\n", " ω = z - α*pi2 - pi2*0.5\n", " c = cos(ω)\n", " s = sin(ω)\n", " fourα² = 4α*α\n", " a = (fourα² - 1) * 0.125 # a₁\n", " a′ = α # a₁′\n", " zinv = inv(z)\n", " Ĵ = pi2 * (s + c*a*zinv) - s*a′*zinv # k = 0 term\n", " zpow = zinv\n", " for k = 1:kmax\n", " # update zpow, a, and a′ to the 2k-th term\n", " # (multiplying a and a' by -1 to subsume (-1)^k)\n", " zpow *= zinv\n", " afactor = ((4k-1)^2 - fourα²) / (16k)\n", " a′ = a′*afactor - a * α/2k\n", " a *= afactor\n", " \n", " # 2k terms:\n", " Ĵ += zpow * (pi2*s*a + c*a′)\n", " \n", " # update zpow, a, and a′ to the (2k+1)-th term\n", " zpow *= zinv\n", " afactor = (fourα² - (4k+1)^2) / (16k+8)\n", " a′ = a′*afactor + a * α/(2k+1)\n", " a *= afactor\n", " \n", " # 2k+1 terms:\n", " Ĵ += zpow * (pi2*c*a - s*a′)\n", " end\n", " return Ĵ * sqrt(2 / (pi*z))\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gauss–Kronrod quadrature\n", "\n", "Schläfli’s and Related Integrals [DLMF](http://dlmf.nist.gov/10.9)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Ĵ_quad (generic function with 1 method)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g′(ν,z,t) = π*cos(ν*π)*exp(-z*sinh(t)-ν*t)-t*sin(ν*π)*exp(-z*sinh(t)-ν*t)\n", "Ĵ_quad(n,z) = quadgk(θ -> θ*sin(z * sin(θ) - n*θ), 0, π, order=10, reltol=1e-10)[1] / π - quadgk(θ -> g′(n,z,θ), 0, 6., order=12, reltol=1e-14)[1]/π" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Final definition of the derivative" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Ĵ (generic function with 1 method)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function Ĵ(m,z)\n", " \"\"\"\n", " derivative of the bessel function in function of the order parameter\n", " m is the order\n", " z is the variable\n", " \"\"\"\n", " if real(z)<10*real(one(z))\n", " v = Ĵ_series(m,z)\n", " return v[1]\n", " else\n", " return Ĵ_asymp2(m,z,10)\n", " end\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Accuracy peformance" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ 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" ], "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "PyObject " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# # mathematica1 = readcsv(\"bessel_deriv1to50.csv\");\n", "# zs = linspace(1,50,200)\n", "# leg = UTF8String[]\n", "# for m in (1.2)\n", "# semilogy(zs, [abs(Ĵ(m,zs[k]) - Ĵ_quad(m,zs[k])) / abs(Ĵ_quad(m,zs[k])) for k in 1:length(zs)], \"-\")\n", "# push!(leg, \"\\$\\\\alpha =$m\\$\")\n", "# end\n", "# xlabel(L\"z\")\n", "# ylabel(\"relative difference |series - mathematica| / |mathematica|\")\n", "# legend(leg, loc=\"upper left\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ 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" ], "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# subplot(211)\n", "# for order = 1:2:11\n", "# z = 3.1\n", "# nbx = 200\n", "# a = -15\n", "# b = 0\n", "# loglog(logspace(a,b,nbx),[abs(Ĵ(order+n,z)-Ĵ_quad(order+n, z))/abs(Ĵ_quad(order+n, z)) for n in logspace(a,b,nbx)], label = \"n=$order\")\n", "# title(L\"Relative error of $\\frac{\\partial J}{\\partial n}(n,z=3.1)$\")\n", "# xlabel(L\"n - \\lfloor n \\rfloor\")\n", "# ylabel(\"relative error\")\n", "# end\n", "\n", "# subplot(212)\n", "# for order = 1:2:11\n", "# z = 3.1\n", "# nbx = 200\n", "# a = -15\n", "# b = 0\n", "# loglog(logspace(a,b,nbx),[abs(Ĵ_quad(order+n, z)) for n in logspace(a,b,nbx)], label = \"n=$order\")\n", "# xlabel(L\"n - \\lfloor n \\rfloor\")\n", "# ylabel(L\"|$\\frac{\\partial J}{\\partial n}(n,z=3.1)|\$\")\n", "# end\n", "# legend(loc = \"upper left\")\n", "\n", "# savefig(\"relativeError_J_cancellation.pdf\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The error that we see is due to **cancellation**, see the actual value of the derivative" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time performance" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Ĵ_series: 0." ] } ], "source": [ "# println(\"Ĵ_series: \", @elapsed Ĵ(2+.001,3.1))\n", "# println(\"Ĵ_asymp: \", @elapsed Ĵ(2+.001,12.1))\n", "# println(\"Gauss quadrature: \", @elapsed Ĵ_quad(2+.001,12.1))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "001547264\n", "Ĵ_asymp: 7.879e-6\n", "Gauss quadrature: 0.000336793\n", " " ] } ], "source": [ "# X = linspace(1,2,1000)\n", "# Y = similar(X)\n", "# function foo!(Y, X)\n", "# for i = 1:length(X)\n", "# Y[i] = Ĵ(X[i],3.1)\n", "# end\n", "# end\n", "# @time foo!(Y,X)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.010594 seconds (2.29 k allocations: 115.307 KB)\n", "Variables:\n", " m::Float64\n", " z::Float64\n", " v::Tuple{Float64,Int64}\n", "\n", "Body:\n", " begin # In[6], line 2:\n", " NewvarNode(:v) # In[6], line 7:\n", " unless (Base.lt_float)(z::Float64,(Base.box)(Base.Float64,(Base.mul_float)((Base.box)(Float64,(Base.sitofp)(Float64,10)),(Base.box)(Float64,(Base.sitofp)(Float64,1)))))::Bool goto 0 # In[6], line 8:\n", " v = (Main.Ĵ_series)(m::Float64,z::Float64,2.220446049250313e-16)::Tuple{Float64,Int64} # In[6], line 9:\n", " return (Base.getfield)(v::Tuple{Float64,Int64},1)::Float64\n", " goto 1" ] } ], "source": [ "# @code_warntype Ĵ(2.7,3.1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# @allocated Ĵ(2.7,3.1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " 0: # In[6], line 11:\n", " return (Main.Ĵ_asymp2)(m::Float64,z::Float64,10)::Float64\n", " 1: \n", " end::Float64\n" ] }, { "data": { "text/plain": [ "-6.044019953795555027974052602058005072355579621465069241795094796283628908617321e-17" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# m = 100\n", "# z = 3.0\n", "# v = Ĵ(m, z)\n", "# v0 = Ĵ(m, big(z))\n", "# abs(v - v0) / v0" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "1.0e-33" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# 10.0^-33" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "8 methods for generic function digamma:
" ], "text/plain": [ "# 8 methods for generic function \"digamma\":\n", "digamma(z::Union{Complex{Float64},Float64}) at special/gamma.jl:75\n", "digamma(z::Union{Complex{Float32},Float32}) at special/gamma.jl:359\n", "digamma(z::Union{Complex{Float16},Float16}) at special/gamma.jl:359\n", "digamma(x::BigFloat) at mpfr.jl:447\n", "digamma(z::Number) at special/gamma.jl:368\n", "digamma{T<:Number}(::AbstractArray{T<:Number,1}) at operators.jl:380\n", "digamma{T<:Number}(::AbstractArray{T<:Number,2}) at operators.jl:381\n", "digamma{T<:Number}(::AbstractArray{T<:Number,N}) at operators.jl:383" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# methods(digamma)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3.141592653589793238462643383279502884197169399375105820974944592307816406286198" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# π * big(1.0)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# ?sinpi" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.4.1", "language": "julia", "name": "julia-0.4" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.4.1" } }, "nbformat": 4, "nbformat_minor": 0 }