{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Version: Python 2.7" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Sources and Diagnosis of Numerical Error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the time when we are talking about errors in a code, we refer to bugs. Here we will take bugs to be systematic unintended errors often arising from our misapprehension of what we wrote or what we think someone else wrote. However, even in well-written code, errors can arise as a result of how numbers are stored in a computer and how algorithms are carried out\u2014this is what we mean when we say numerical error.\n", "\n", "Numerical error can be extraordinarily difficult to diagnose\u2014particularly if the equations you are solving are ill-characterized (like nonlinear equations)\u2014but there are a few known techniques. First, let's take a digression into how numbers are represented on the computer." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Machine Representation of Numbers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You are familiar with binary representation: how $1101_b = 1\\times 2^3 + 1\\times 2^2 + 0\\times 2^1 + 1\\times 2^0 = 13_d$. The question soon arises of how to represent fractional parts, which is again straightforward with the inclusion of a \u201cbinary point\u201d \"$_\\times$\" analogous to a decimal point \"$.$\": _i.e._, $1101_{\\times} 1001b = 1\\times 2^3 + 1\\times 2^2 + 0\\times 2^1 + 1\\times 2^0 + 1\\times 2^{-1} + 0\\times 2^{-2} + 0\\times 2^{-3} + 1\\times 2^{-4} = 13.5625_d$." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Floating-Point Numbers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notation is functional but soon exhausts its utility when confronted with very large or very small numbers. Just as with decimal numbers, however, we can adopt a scientific notation which requires us to specify only a few parameters. For instance, instead of 45,230,000,000,000 we write $4.523 \\times 10^{13}$\u2014requiring us to specify two numbers (4.523 and 13) to gain an economy of expression (or, to be strict, three if we count positive and negative as a multiplier by one).\n", "\n", "Floating-point mathematics allows the representation of numbers too large to fit into memory well as integers, as well as with fractional parts. Modern floating-point arithmetic typically allows the representation of numbers as 32-bit `float`s or 64-bit `double`s.\n", "\n", "This task is achieved by splitting the bytes up into a sign bit, an binary exponent, and a binary mantissa or significand. (Consult the figure below.)\n", "\n", "* The sign bit tells you if the number is positive (`0`) or negative (`1`).\n", "* The exponent is counted from a negative value at half the range in order to also represent small numbers.\n", "* The mantissa includes an implied leading bit, because you don't write $0.1\\times 10^{-2}$ but $1\\times 10^{-3}$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(filename='floating-point.png', width=800, embed=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "width": 800 } }, "output_type": "pyout", "png": 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bbmJCv+afNT/u5XNmcc2d1zMwrp3Kvl2Wq4p5f/1fFrXiGf6Ysddz38VZ2oFEpNM63vYx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\nSfNXnyc4MmM5uybdRD8AvuW4JZ6/P8BTix5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Vr8Szv/TMm6QVu7SkLKUsW6OdflGOUtfc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"prompt_number": 5, "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Round-Off Error and the Limits of Precision" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare the result of $1.1-0.8$ and $0.3$. We expect these to be mathematically equal, but will the machine concur with us?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Calculate the binary representation of $1.1$, $0.8$, and $0.3$ using [this calculator](http://babbage.cs.qc.edu/IEEE-754/). Compare $0.3$ to the result of $1.1-0.8$ (compare the `double` floating-point type)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "0.3" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "1.1-0.8" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's a difference, but why? Let's look at the binary floating-point representation of 1.1, 0.8, and 0.3 to see.\n", "\n", "| Decimal | Size | Sign Bit | Exponent | Mantissa |\n", "| --- | ------ | -- | -------- | ----------------------- |\n", "| $1.1$ | single | 0 | 01111111 | 00011001100110011001101 |\n", "| | | $1 \\times$ | $2^{(127-127)} \\times$ | $1.10000002384185791015625$ |\n", "| | double | 0 | 01111111111 | 0001100110011001100110011001100110011001100110011010 |\n", "| | | $1 \\times$ | $2^{(1023-1023)} \\times$ | $1.1000000000000000888178419700125232338905$ |\n", "|\n", "| $0.8$ | single | 0 | 01111110 | 10011001100110011001101 |\n", "| | | $1 \\times$ | $2^{(126-127)} \\times$ | $1.60000002384185791015625$ |\n", "| | double | 0 | 01111111110 | 1001100110011001100110011001100110011001100110011010 |\n", "| | | $1 \\times$ | $2^{(1022-1023)} \\times$ | $1.6000000000000000888178419700125232338905$ |\n", "|\n", "| $1.1-0.8$ | single | 0 | 01111101 | 00110011001100110011010 |\n", "| $\\,\\, = 0.3$ | | $1 \\times$ | $2^{(125-127)} \\times$ | $1.2000000476837158203125$ |\n", "| | double | 0 | 01111111110 | 0011001100110011001100110011001100110011001100110100 |\n", "| $\\,\\, = 0.30000000000000004$ | | $1 \\times$ | $2^{(1021-1023)} \\times$ | $1.2000000000000001776356839400250464677810$ |\n", "|\n", "| $0.3$ | single | 0 | 01111101 | 00110011001100110011010 |\n", "| | | $1 \\times$ | $2^{(125-127)} \\times$ | $1.2000000476837158203125$ |\n", "| | double | 0 | 01111111101 | 0011001100110011001100110011001100110011001100110011 |\n", "| | | $1 \\times$ | $2^{(1021-1023)} \\times$ | $1.1999999999999999555910790149937383830547$ |\n", "\n", "Thus you should never compare floating-point values exactly\u2014check to see that they are within a narrow range of each other (with a relative or absolute tolerance, as necessary)." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Overflow and Underflow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are clearly limits to how precisely any decimal number can be represented in binary floating-point format (just as the decimal representation often requires repeated fractions). Sometimes we have a number too large (_overflow_) or too small (_underflow_) to fit; sometimes the number just requires too many digits of accuracy to fit into a clean machine representation.\n", "\n", "| Machine Parameter | Single Precision | Double Precision | Quadruple Precision |\n", "| ----------------- | ---------------- | ---------------- | ------------------- |\n", "| Size | (4 bytes; 32 bits) | (8 bytes; 64 bits) | (16 bytes; 128 bits) |\n", "| Relative machine precision, $\\epsilon$ | $2^{-24} \\sim 5.96 \\cdot 10^{-8}$ | $2^{-53} \\sim 1.11 \\cdot 10^{-16}$ | $2^{-113} \\sim 9.63 \\cdot 10^{-35}$ |\n", "| Underflow threshold | $2^{-126} \\sim 1.18 \\cdot 10^{-38}$ | $2^{-1022} \\sim 2.23 \\cdot 10^{-308}$ | $2^{-16382} \\sim 3.36 \\cdot 10^{-4392}$ |\n", "| Overflow threshold | $2^{128}(1-\\epsilon) \\sim 3.40 \\cdot 10^{38}$ | $2^{1024}(1-\\epsilon) \\sim 1.79 \\cdot 10^{308}$ | $2^{16384}(1-\\epsilon) \\sim 1.19 \\cdot 10^{4392}$ |\n", "\n", "Let's take a look at another example related to underflow and overflow. From the table above, we can see that the maximum representable number in 64-bit precision is about $1.79 \\cdot 10^{308}$ (in Python, `sys.float_info.max`). Let's double this value and see what happens\u2014it correctly overflows to $+\\infty$. But what about a smaller (but still nonnegligible) addition?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import sys\n", "print sys.float_info" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some special types exist as well: $+\\infty$ `Inf`, $-\\infty$ `-Inf`, and `NaN` (Not a Number). This occur as the result of procedures with undefined results (such as division by zero) and allow you to systematically handle errors and bugs as they arise.\n", "\n", "For more details, consult [Finley, 2000](http://tfinley.net/notes/cps104/floating.html) (from whom the example figured was borrowed) and [IEEE-754 Analysis](http://babbage.cs.qc.edu/IEEE-754/), a calculator which shows you the pieces of the representation for `float`, `double`, and `quad128` types. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Modified Equations and Truncation Error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can consider your numerical system either as an approximate solution of an exact equation (the normal way of thinking) or the exact solution of an approximate equation. What I mean by the latter is this: the approximations introduced by your numerical method exactly solve a real equation which is similar to the equation you would like to solve. So one question is how we can identify errors by seeing what additional physics have been introduced into your problem by the solution and then looking for those physics.\n", "\n", "In other words, given a finite-difference approximation of a partial differential equation, find another PDE which is better approximated by the finite-difference scheme. Then use the FD method to learn about the behavior of the new PDE\u2014the modified equation\u2014and thus the behavior of the error terms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_First-Order Example._ Consider the hyperbolic PDE $u_t + a u_x = 0$ with initial condition $u(x, 0) = u_0 (x)$ and boundary conditions $u(L, t) = u_L (t)$; $u(R, t) = u_R (t)$. The Lax\u2013Friedrichs forward in time, centered in space (FTCS) scheme with artificial viscosity can be written as\n", "\n", "$$\\frac{U_{j}^{n+1} - U_{j}^{n}}{\\Delta t} + a \\frac{U_{j+1}^{n} - U_{j-1}^{n}}{2 \\Delta x} - \\frac{U_{j+1}^{n} - 2 U_{j}^{n} + U_{j-1}^{n}}{2 \\Delta t} = 0.$$\n", "\n", "A Taylor series expansion of the original equation yields\n", "$$u_{t} + a u_{x} - \\frac{1}{2 \\Delta t} u_{xx} \\Delta x^2 + \\frac{1}{2} u_{tt} \\Delta t + \\frac{1}{6} a u_{xxx} \\Delta x^2 - \\frac{1}{24 \\Delta t} u_{xxxx} \\Delta x^4 + \\,\\, ... $$\n", "$$\\,\\,\\,\\,\\,\\,\\, = \\left(u_{t} + a u_{x} \\right) + \\frac{1}{2} \\left({ u_tt \\Delta t}- u_{xx}\\frac{\\Delta x^2}{\\Delta t} \\right) + \\,\\, ... $$\n", "$$\\,\\,\\,\\,\\,\\,\\, = \\left(u_{t} + a u_{x} \\right) + \\frac{1}{2} \\left({ a^2 \\Delta t}- \\frac{\\Delta x^2}{\\Delta t} \\right) u_{xx} + \\,\\, ... $$\n", "\n", "From this last result, we arrive at the modified equation\n", "$$u_{t} + a u_{x} = \\frac{\\Delta x^2}{2 \\Delta t} \\left(1 - \\left(\\frac{a \\Delta t}{\\Delta x}\\right)^2 \\right) u_{xx} $$\n", "which is an advection\u2013diffusion equation, having added a diffusion term and an antidiffusive correction (by the central differencing). Thus if we see unexpected diffusive behavior, we can suspect that this is due to the numerical method used rather than another source of error. Depending on the size of $a$, we could even find that a smaller time step size relative to $\\Delta x$ _increases_ the diffusive error.\n" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finding Numerical Error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Beyond general debugging and best practices in software development, there are a few techniques specific to scientific and numerical computing that you should bear in mind.\n", "\n", "In the first place, it is good to use characteristic scales such that _most_ of your expected values lie within the range $\\left(10^3-10^{-3}\\right)$. This allows you to easily identify underflow and overflow errors, as well as gross oscillations and instabilities.\n", "\n", "Another way you can detect numerical error is to swap out the 64-bit `double`s in your code for 32-bit `float`s to see what difference, if any, it makes. (Note particularly that in our example the 32-bit `float` was _not_ susceptible to the error introduced by the vastly more precise `double`.)\n", "\n", "Maintaining precision is important in calculations with very large or small intermediate values. In these cases, it may be appropriate to utilize either arbitrary-precision arithmetic (slow) or [Kahan enhanced summation](http://en.wikipedia.org/wiki/Kahan_summation_algorithm). Kahan summation tracks the lost precision from a result separately and adds it back in at the end, allowing you to maintain higher precision than would otherwise be possible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "References" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Goldberg, D. [\u201cWhat Every Computer Scientist Should Know About Floating-Point Arithmetic\u201d](http://www.validlab.com/goldberg/paper.pdf).\n", "- [IEEE-754 Analysics Calculator](http://babbage.cs.qc.cuny.edu/IEEE-754/).\n", "- Netlib.org ScaLAPACK User's Guide, [\u201cSources of Error in Numerical Calculations\u201d](http://www.netlib.org/scalapack/slug/node133.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neal Davis developed these materials for [Computational Science and Engineering](http://cse.illinois.edu/) at the University of Illinois at Urbana\u2013Champaign. This content is available under a Creative Commons Attribution 3.0 Unported License." ] } ], "metadata": {} } ] }