numerical_derivitives.ipynb

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            "source": [
                "# Lab 3: Numerical Derivatives\n",
                "\n",
                "Physics is dominated by differential equations, from Newton's 2nd law,\n",
                "\n",
                "$$ F = m \\frac{d^2 x}{d t^2}$$\n",
                "\n",
                "to the time-dependent Schrodinger equation,\n",
                "\n",
                "$$ \\frac{\\partial \\Psi}{\\partial t} = E.$$\n",
                "\n",
                "Before we can tackle differential equations, we must first figure out how to use the computer to compute $derivatives$ themselves. In order to do calculus (both differential and integral) on the computer, we have to realize that all the computer can do is arithmatic: addition, subtraction, multiplication, and division. It is our job to construct accurate, stable algorithms that express approximations to derivatives and integrals using arithmetic statements.\n",
                "\n",
                "## A simple approach: the forward difference algorithm\n",
                "\n",
                "Our first approach is to use the definition of the derivative,\n",
                "\n",
                "$$\\frac{d f}{d x} = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h},$$\n",
                "\n",
                "combined with a Taylor expansion for the point $f(x+h)$:\n",
                "\n",
                "$$ f(x+h) = f(x) + h f'(x) + \\frac{h^2 f''(x)}{2!} + \\frac{h^3 f'''(x)}{3!} + \\ldots.$$\n",
                "\n",
                "Rearrange the Taylor expansion to come up with a form for the derivative $f'(x)$ (here, unlike last week, the prime *does* mean differentiation). If we *truncate* the Taylor series at the second derivative term, we end up with \n",
                "\n",
                "$$f'(x) = \\frac{f(x+h) - f(x)}{h} + \\mathcal{O}(h),$$\n",
                "\n",
                "where the $\\mathcal{O}(h)$ symbol tells us that the **truncation error** is at most an unknown constant times $h$. Ignoring that term, we now have exactly what we're looking for: a series of pure arithmatic operations that give us an approximation to the derivative $f'(x)$. We can also write this as $f'(x) \\simeq \\frac{f(x+h) - f(x)}{h}$, since without the truncation error term, it is only approximate. Because $\\mathcal{O}(h)$ is proportional to the first power of $h$, this is called a **first-order approximation**. Becuase this particular first order approximation uses two points, one of which is ahead of the position at which it gives the derivative, this is called the **forward difference algorithm** for computing a derivative.\n",
                "\n",
                "Truncation error is a new type of error that we haven't met yet. It is fairly simple to understand: even if we had a perfect computer that could represent floating point numbers exactly, this approximation would *still* have an error in our computed derivative $f'(x)$ because the true derivative is the sum of an infinite Taylor series. However, here, we just got lazy, truncated the series after the first two terms, and rearranged the equation to get $f'(x)$ on the left hand side. \n",
                "\n",
                "Of course, in any practical computation you will ever do, you will have **both** truncation error and roundoff error from fininte precision. In order to see if our first order approximation is a good one, consider \n",
                "\n",
                "$$ f(x) = a + b x^2.$$\n",
                "\n",
                "First, by hand take the exact, analytic derivative of this function; write it as $f'(x)$. Write it in the cell below using $\\LaTeX$."
            ]
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            "source": [
                "$$\\frac{d}{dx}f(x) = \\frac{d}{dx}(a+bx^2)$$\n",
                "$$f'(x) = 2bx$$"
            ]
        },
        {
            "attachments": {},
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            "source": [
                "Now, using $f'_{f}(x) = f(x+h) - f(x)/h$, compute the forward difference approximation to the derivative. Write it below as $f'_f(x)$, and show your work."
            ]
        },
        {
            "attachments": {},
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            "source": [
                "$$f'_{f}(x) = \\frac{f(x+h) - f(x)}{h}$$\n",
                "$$f'_{f}(x) = \\frac{a +b(x+h)^2 - (a+bx^2)}{h}$$\n",
                "$$f'_{f}(x) = \\frac{a +b(x^2+2xh+h^2) - a-bx^2}{h}$$\n",
                "$$f'_{f}(x) = \\frac{a +bx^2+2bxh+h^2 - a-bx^2}{h}$$\n",
                "$$f'_{f}(x) = \\frac{2bxh+bh^2 }{h}$$\n",
                "$$f'_{f}(x) = \\frac{h(2bx+bh) }{h}$$\n",
                "$$f'_{f}(x) = 2bx+bh$$\n",
                ""
            ]
        },
        {
            "attachments": {},
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            "metadata": {},
            "source": [
                "Is the error term as you expected from the Taylor series you used to derive the forward difference approximation in the first place? When would this approximation be a good one? \n",
                "\n",
                "This example shows that the first order method requires very small $h$ before it will be a good approximation.  *However*, as you start making $h$ smaller, the numerator of the approximation will start to suffer from our old foe subtractive cancellation, since $f(x+h) \\simeq f(x)$. "
            ]
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            "source": [
                "Yes this error is what we would expect. It is linear with $h$. Also if we go through and calculate $\\mathcal{O}(h)$ we get $-bh$ which makes sense as our error comes from leaving out $\\mathcal{O}(h)$, the higher order terms."
            ]
        },
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            "attachments": {},
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            "metadata": {},
            "source": [
                "## Central Difference Approximation\n",
                "\n",
                "We can improve on our approximation by combining more points into the method. Instead of using $x$ and $x+h$, we can use $x-h/2$ and $x+h/2$ to construct a *central difference* algorithm:\n",
                "\n",
                "$$f'_{cd}(x) \\equiv \\frac{f(x+h/2) - f(x-h/2)}{h}.$$\n",
                "\n",
                "Let's find the trunctation error for the central difference method by Taylor expanding *both* $f(x + h/2)$ and $f(x-h/2)$ to third order in $h$ (that is, the term proportional to $h^3$ and subtracting one from the other. Write your answer in the box below:"
            ]
        },
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            "source": [
                "$$f'_{cd}(x) \\equiv \\frac{f(x+h/2) - f(x-h/2)}{h}$$\n",
                "$$= \\frac{ f(x) + \\frac{h}{2} f'(x) + \\frac{(\\frac{h}{2})^2 f''(x)}{2!} + \\frac{(\\frac{h}{2})^3 f'''(x)}{3!} - \\left(f(x)- \\frac{h}{2} f'(x)+\\frac{(\\frac{h}{2})^2 f''(x)}{2!}-\\frac{(\\frac{h}{2})^3 f'''(x)}{3!}\\right)}{h}$$\n",
                "$$= \\frac{ f(x) + \\frac{h}{2} f'(x) + \\frac{(\\frac{h}{2})^2 f''(x)}{2!} + \\frac{(\\frac{h}{2})^3 f'''(x)}{3!} - f(x)+ \\frac{h}{2} f'(x)-\\frac{(\\frac{h}{2})^2 f''(x)}{2!}+\\frac{(\\frac{h}{2})^3 f'''(x)}{3!}}{h}$$\n",
                "$$= \\frac{ h f'(x)  + \\frac{(\\frac{h^3}{8}) f'''(x)}{6} +\\frac{(\\frac{h^3}{8}) f'''(x)}{6}}{h}$$\n",
                "$$= \\frac{ h f'(x)  + \\frac{h^3 f'''(x)}{24} }{h}$$\n",
                "$$f'_{cd}(x) = f'(x)  + \\frac{h^2 f'''(x)}{24} $$"
            ]
        },
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            "source": [
                "You should see that the error term is $\\mathcal{O}(h^2)$ instead of $\\mathcal{O}(h)$ as before! For our example problem above, $f(x) = a + bx^2$, you see that the first derivative will be exact for *any* value of $h$! This shouldn't really be surprising; all higher derivatives for a quadratic polynomial are zero anyway."
            ]
        },
        {
            "attachments": {},
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            "metadata": {},
            "source": [
                "## Errors\n",
                "\n",
                "Truncation error (which we write $\\epsilon_t$) decreases with decreasing $h$ (written $\\epsilon_{ro}$, but round-off error increases with decreasing $h$. Let's consider a over-simplified model of the errors in which $\\epsilon_t = eps_m + h$ and $\\epsilon_{ro} = 10^4 \\epsilon_m/h$. The total error is $\\epsilon_t + \\epsilon_{ro}$.  Let's plot these simple models to get a feel for what the implication of having one component of the error decrease with stepsize and the other increase:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 1,
            "metadata": {},
            "outputs": [],
            "source": [
                "%matplotlib inline\n",
                "import matplotlib.pyplot as plt\n",
                "plt.style.use('ggplot')\n",
                "\n",
                "plt.rcParams['figure.figsize'] = (10, 6) # this makes the figures bigger\n",
                "\n",
                "import numpy as np"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "It turns out `numpy` has a function that gives you the exact value of machine precision for a given datatype (remember here that `float` is a 64-bit double):"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 2,
            "metadata": {},
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": "Machine precision is 2.220446049250313e-16\n"
                }
            ],
            "source": [
                "eps_m = np.finfo(float).eps\n",
                "print(\"Machine precision is {:20.15e}\".format(eps_m))"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 3,
            "metadata": {
                "collapsed": true
            },
            "outputs": [],
            "source": [
                "h = np.logspace(-7,-1,100) #let's create 100 points equally in log space between 10^-7 and 10^-1\n",
                "eps_t = eps_m + h\n",
                "eps_ro = 10000*eps_m/h"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 4,
            "metadata": {},
            "outputs": [
                {
                    "data": {
                        "text/plain": "Text(0, 0.5, '$\\\\epsilon$')"
                    },
                    "execution_count": 4,
                    "metadata": {},
                    "output_type": "execute_result"
                },
                {
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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                }
            ],
            "source": [
                "plt.figure()\n",
                "plt.loglog(h,eps_t,label='Truncation error')\n",
                "plt.loglog(h,eps_ro,label='Round-off error')\n",
                "plt.legend(loc='lower left')\n",
                "plt.xlabel(r'$h$',size=24)\n",
                "plt.ylabel(r'$\\epsilon$',size=24)"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Note that this is a *log-log* plot, meaining that both the $x$ and $y$ axes are logarithmic. We'll almost always use these plots when we investigate the error properties of algorithms because they have the neat property that *power law* relationships like $y = x^b$ will be *straight lines* on them. Furthermore, the slope of the line on the log-log plot is equal to the exponent $b$ of the power law you started with! \n",
                "\n",
                "\n",
                "In the cell below, recreate the above plot, but add a third line that is the *total error*, $\\epsilon_t + \\epsilon_{ro}$."
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 5,
            "metadata": {
                "collapsed": true
            },
            "outputs": [
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                }
            ],
            "source": [
                "eps_total = eps_t + eps_ro # total error\n",
                "plt.figure()\n",
                "plt.loglog(h,eps_t,label='Truncation error')\n",
                "plt.loglog(h,eps_ro,label='Round-off error')\n",
                "plt.loglog(h,eps_total,label='Total error', color= 'red')\n",
                "plt.legend(loc='lower left')\n",
                "plt.xlabel(r'$h$',size=24)\n",
                "plt.ylabel(r'$\\epsilon$',size=24)\n",
                "plt.title(\"A Simplified model for Truncation and Round-off Error\")\n",
                "plt.show()"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Now, using your plot, if this simple model holds, how should you choose your stepsize such that the *total error is minimized*? Hopefully you see that the error is minimized when $\\epsilon_t \\simeq \\epsilon_{ro}$!\n",
                "\n",
                "Now, let's consider the roundoff error first. For any derivative approximation we have considered, we have something in the form of \n",
                "\n",
                "$$\\frac{f(x+h) - f(x)}{h}$$\n",
                "\n",
                "as $h$ becomes small, eventually the subtractive cancellation will lead to the numerator $f(x+h) - f(x) \\to \\epsilon_m$. So, the round off error will eventually be \n",
                "\n",
                "$$\\epsilon_{ro} \\simeq \\frac{\\epsilon_m}{h},$$\n",
                "\n",
                "exactly as our simple model predicted! \n",
                "\n",
                "Because we are deriving our differentiation methods from Taylor series, we have an exact form of the truncation error. For the forward difference, it's $\\epsilon_t = h f''(x)/2$ (verify this!) and for the central difference it's $\\epsilon_t = h^2 f'''(x)/24$.\n",
                "\n",
                "To find the minimum error, set $\\epsilon_{ro} = \\epsilon_{t}$ and solve for $h_{f}$ and $h_{cd}$ for the forward and central differences respectively. Do this on a piece of paper by hand, and typeset the answers you get in the cell below."
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Note $\\epsilon_t$ is the truncation error which has to do with the rounding errors we make with the Taylor Series we use.\n",
                "\n",
                "Verifying $\\epsilon_{t} = h f''(x)/2$ for the forward difference:\n",
                "$$\\epsilon_{t} =bh = \\frac{ h f''(x)}{2}$$\n",
                "$$bh =  \\frac{h}{2}\\frac{d(2bx)}{dx}$$\n",
                "$$bh =  \\frac{h}{2}2b$$\n",
                "$$bh =  bh$$\n",
                "$$\\epsilon_{t} = h f''(x)/2$$\n",
                "\n",
                "Finding minimum error for forward difference (when $\\epsilon_{ro} = \\epsilon_{t}$):\n",
                "$$\\frac{\\epsilon_m}{h_f} = \\frac{h_ff''(x)}{2}$$\n",
                "$$h_f^2 = \\frac{2\\epsilon_m}{f''(x)}$$\n",
                "$$h_f = \\pm \\sqrt{\\frac{2\\epsilon_m}{f''(x)}}$$\n",
                "\n",
                "Finding minimum error for central difference (when $\\epsilon_{ro} = \\epsilon_{t}$):\n",
                "$$\\frac{\\epsilon_m}{h_{cd}} = \\frac{h_{cd}^2f'''(x)}{24}$$\n",
                "$$h_{cd}^3 = \\frac{24\\epsilon_m}{f'''(x)}$$\n",
                "$$h_{cd} = \\pm \\sqrt[3]{\\frac{24\\epsilon_m}{f'''(x)}}$$\n",
                "\n",
                ""
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Interlude: numpy tricks to make your life easier\n",
                "\n",
                "We've been relying on `for` loops to work with `numpy` arrays in an element-by-element fashion. Remembering that `x[i]` is the i-th number in an array, we've been doing things like\n",
                "\n",
                "```\n",
                "x = np.linspace(1,10,100)\n",
                "g = np.zeros(10)\n",
                "for i,v in enumerate(x):\n",
                "    g[i] = x**2\n",
                "```\n",
                "\n",
                "But, we can do most basic math without these loops! This is not only easier to type, it's also MUCH faster, as we'll see later in the week. \n",
                "\n",
                "Even better is the fact that `numpy` functions like `np.cos` and `np.exp` can *take* a numpy array and will *return* a numpy array of the same length with each element of the input array fed into the function:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 6,
            "metadata": {},
            "outputs": [],
            "source": [
                "x = np.linspace(0,2*np.pi,10,endpoint=False) # note the endpoint=False does just what you think: it won't compute 2*pi, spacing the grid of numbers appropriately\n",
                "y = np.cos(x)"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 7,
            "metadata": {},
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": "x =  [0.         0.62831853 1.25663706 1.88495559 2.51327412 3.14159265\n 3.76991118 4.39822972 5.02654825 5.65486678]\ny =  [ 1.          0.80901699  0.30901699 -0.30901699 -0.80901699 -1.\n -0.80901699 -0.30901699  0.30901699  0.80901699]\n"
                }
            ],
            "source": [
                "print(\"x = \",x)\n",
                "print(\"y = \",y)"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "With this trick, we can write the forward and central differences in a very compact way:\n",
                "\n",
                "`FD = (f(x+h) - f(x))/h`\n",
                "\n",
                "`CD = (f(x+h/2) - f(x - h/2))/h`\n",
                "\n",
                "below, I've coded the forward difference so that it takes a *numpy function* `f` and a stepsize `h` and returns a *numpy array* (please make sure you understand the difference!) containing the approximate derivative:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 9,
            "metadata": {
                "collapsed": true
            },
            "outputs": [],
            "source": [
                "def fd(f,x,h):\n",
                "    return (f(x+h)-f(x))/h"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "try it on `np.cos`:"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 10,
            "metadata": {},
            "outputs": [],
            "source": [
                "x = np.linspace(0,2*np.pi,100,endpoint=False) # note the endpoint=False does just what you think: it won't compute 2*pi, spacing the grid of numbers appropriately\n",
                "h = 0.01\n",
                "\n",
                "g = fd(np.cos,x,h)"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 11,
            "metadata": {},
            "outputs": [
                {
                    "data": {
                        "text/plain": "[\u003cmatplotlib.lines.Line2D at 0x7f29ed902e60\u003e]"
                    },
                    "execution_count": 11,
                    "metadata": {},
                    "output_type": "execute_result"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                }
            ],
            "source": [
                "plt.figure()\n",
                "plt.plot(x,np.cos(x),label='f')\n",
                "plt.plot(x,g,label='df/dx')\n",
                "\n",
                ""
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "Since we of course know that $f'(x) = -sin(x)$ this looks pretty good!"
            ]
        },
        {
            "attachments": {},
            "cell_type": "markdown",
            "metadata": {},
            "source": [
                "### Exercise\n",
                "\n",
                "Now, on your own, code up a function to compute the central difference.\n",
                "\n",
                "Use the forward and central differences to differentiate `np.cos` and `np.exp` for `x = 0.1, 1.0, 100.`. \n",
                "\n",
                "Print out the derivative and its relative error $\\mathcal{E} = |f'_{computed}(x) - f'(x)|/f'(x)$ compared to the analytic forms $f'(x)$ (which you should also compute by hand) as a function of $h$. Reduce $h$ until you reach machine precision.\n",
                "\n",
                "Plot a log-log plot of $\\mathcal{E}$ vs $h$. Can you identify where truncation error dominates? Where round off dominates? Does this match with your model expectations?"
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 37,
            "metadata": {
                "collapsed": true
            },
            "outputs": [
                {
                    "name": "stdout",
                    "output_type": "stream",
                    "text": "rel_error_fd =  [-8.68001641e-04 -3.77346475e-03 -7.61177673e-03 -2.95146938e-03\n -6.63140160e-03 -1.84707953e-03 -2.83913173e-03 -1.67373775e-03\n -3.51961435e-03 -2.07592310e-03 -1.89534761e-03 -1.98696223e-03\n -1.59371631e-03 -1.52795707e-04 -3.11425652e-04 -9.90848942e-04\n -1.36157607e-03 -8.01492233e-04 -9.67272889e-04 -9.91092049e-04\n -2.18351120e-04 -1.36514737e-03 -3.40584118e-04 -9.87647462e-04\n -9.88533493e-04 -9.14776601e-04 -9.76778999e-05 -7.99329741e-04\n -2.75555224e-04 -4.34204639e-04 -4.18493467e-04 -2.16782076e-04\n -3.46430487e-04 -3.63532887e-05 -1.53192506e-04 -3.41118683e-04\n -2.90103471e-04 -9.92970458e-05 -1.14709871e-04 -2.03495290e-04\n -2.09869751e-04 -2.20430651e-04 -4.73307874e-06 -1.89216445e-04\n -1.75688864e-04 -1.98082061e-05 -2.25850776e-05 -3.57349083e-05\n -2.73599597e-05 -3.57321027e-05 -2.58698344e-05 -1.35134220e-05\n -3.99928338e-05 -7.14777455e-05 -2.35904520e-05 -5.66824428e-05\n -2.87042550e-05 -1.27809045e-05 -5.05566443e-05 -1.24337153e-05\n -1.21660507e-05 -2.64523846e-05 -1.39693678e-05 -1.83493572e-05\n -8.32134224e-06 -1.17121332e-05 -1.14385189e-05 -3.41893540e-06\n -7.46902301e-06 -1.38994789e-05 -6.93784916e-06 -9.90877351e-06\n -6.47719108e-06 -3.35729350e-06 -4.06857077e-06 -4.50695380e-06\n -5.82870637e-07 -1.21644501e-06 -1.08579613e-06 -3.41493795e-06\n -4.38181306e-06 -3.10640877e-06 -9.65091046e-07 -5.01548781e-07\n -4.19106122e-06 -2.94349294e-07 -2.89004065e-06 -1.56864729e-07\n -1.89168419e-06 -1.64646748e-06 -2.26496782e-06 -1.94109728e-06\n -1.99652921e-06 -2.76315143e-07 -3.69673461e-07 -4.58009135e-07\n -9.99586093e-07 -1.34126972e-06 -3.55246698e-09 -3.78906565e-07\n -1.04202915e-07 -7.70301133e-07 -9.45330972e-08 -4.10649760e-07\n -6.98927207e-07 -7.36611756e-09 -1.87716891e-07 -5.02928526e-07\n -4.81282979e-07 -1.25056184e-07 -3.69953190e-07 -4.77742399e-08\n -2.79455410e-07 -1.39073581e-07 -9.94133030e-08 -1.68563054e-07\n -1.09891462e-07 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-3.38755490e-07\n -3.71630543e-07 -4.07688681e-07 -4.47071314e-07 -4.90437479e-07\n -5.37836535e-07 -5.89867728e-07 -6.47018701e-07 -7.09711355e-07\n -7.78426482e-07 -8.53775681e-07 -9.36396503e-07 -1.02703864e-06\n -1.12645763e-06 -1.23556475e-06 -1.35516215e-06 -1.48637202e-06\n -1.63025119e-06 -1.78807660e-06 -1.96117912e-06 -2.15106055e-06\n -2.35933801e-06 -2.58773126e-06 -2.83827921e-06 -3.11305748e-06\n -3.41445900e-06 -3.74502532e-06 -4.10760902e-06 -4.50528018e-06\n -4.94146507e-06 -5.41987088e-06 -5.94459119e-06 -6.52011614e-06\n -7.15136855e-06 -7.84372583e-06 -8.60310773e-06 -9.43601151e-06\n -1.03495577e-05 -1.13515432e-05 -1.24505257e-05 -1.36559116e-05\n -1.49779882e-05 -1.64280575e-05 -1.80185120e-05 -1.97629379e-05\n -2.16762376e-05 -2.37747645e-05 -2.60764447e-05 -2.86009453e-05\n -3.13698344e-05 -3.44067657e-05 -3.77376884e-05 -4.13910570e-05\n -4.53980778e-05 -4.97929842e-05 -5.46133176e-05 -5.99002477e-05\n -6.56989342e-05 -7.20589017e-05 -7.90344640e-05 -8.66851921e-05\n -9.50764158e-05 -1.04279781e-04 -1.14373865e-04 -1.25444838e-04\n -1.37587203e-04 -1.50904594e-04 -1.65510661e-04 -1.81530035e-04\n -1.99099385e-04 -2.18368580e-04 -2.39501958e-04 -2.62679721e-04\n -2.88099461e-04 -3.15977830e-04 -3.46552375e-04 -3.80083539e-04\n -4.16856862e-04 -4.57185387e-04 -5.01412289e-04 -5.49913761e-04\n -6.03102166e-04 -6.61429490e-04 -7.25391117e-04 -7.95529954e-04\n -8.72440945e-04 -9.56776005e-04 -1.04924940e-03 -1.15064365e-03\n -1.26181590e-03 -1.38370500e-03 -1.51733907e-03 -1.66384386e-03\n -1.82445181e-03 -2.00051189e-03 -2.19350033e-03 -2.40503226e-03\n -2.63687435e-03 -2.89095844e-03 -3.16939641e-03 -3.47449614e-03\n -3.80877878e-03 -4.17499727e-03 -4.57615635e-03 -5.01553385e-03\n -5.49670355e-03 -6.02355939e-03 -6.60034122e-03 -7.23166189e-03\n -7.92253568e-03 -8.67840786e-03 -9.50518526e-03 -1.04092674e-02\n -1.13975779e-02 -1.24775954e-02 -1.36573837e-02 -1.49456194e-02\n -1.63516166e-02 -1.78853462e-02 -1.95574491e-02 -2.13792390e-02\n -2.33626930e-02 -2.55204253e-02 -2.78656394e-02 -3.04120523e-02]\nrel_error_cd =  [-1.22660815e-03 -3.72192209e-04 -1.32325712e-03 -1.06958900e-03\n -9.80831625e-05 -9.05298656e-04 -4.30020439e-04 -2.22956011e-04\n -3.48553178e-04 -7.86483579e-05 -1.53499742e-04 -2.85042875e-04\n -2.66577137e-04 -7.48246485e-05 -2.78436821e-04 -2.15527610e-04\n -5.12701701e-05 -1.99151022e-04 -5.30735577e-05 -2.35053205e-04\n -4.86266055e-05 -1.17853180e-04 -7.25113180e-05 -1.58683011e-04\n -4.40827513e-05 -1.16519290e-04 -4.29677501e-05 -6.28527897e-05\n -1.00103255e-04 -6.52629642e-05 -8.36794850e-06 -2.36151177e-05\n -7.87164998e-06 -1.17121319e-05 -5.86381289e-05 -1.54862771e-05\n -4.25025161e-05 -2.24858448e-05 -3.41934069e-06 -2.32093339e-05\n -6.20717041e-06 -3.96162614e-05 -4.87917741e-06 -2.18431100e-06\n -1.22306008e-05 -1.32509879e-05 -1.47407815e-05 -1.20109436e-05\n -1.61953554e-06 -3.86435321e-06 -8.30711281e-06 -1.45298673e-05\n -5.96743226e-06 -1.84365231e-06 -2.31572662e-06 -2.00965908e-06\n -1.03306448e-06 -4.60575773e-06 -2.69644090e-06 -4.89423764e-06\n -1.20431450e-06 -1.14798145e-06 -2.40658966e-06 -6.92173215e-07\n -1.29872479e-06 -4.35956500e-06 -4.33564045e-06 -2.03946881e-06\n -2.62760046e-07 -2.88582626e-06 -1.11938678e-08 -1.23685335e-06\n -9.45064604e-07 -1.91556475e-07 -3.69151389e-07 -1.46633399e-06\n -7.08729037e-07 -7.67344237e-07 -8.82330801e-08 -2.12084607e-07\n -4.16228037e-07 -7.81112329e-08 -5.24090828e-07 -1.07598849e-07\n -3.14588090e-07 -7.40299546e-08 -2.09730191e-07 -7.01227220e-07\n -3.94797158e-07 -7.06246233e-08 -2.20762101e-07 -3.58023030e-07\n -5.33705052e-08 -1.21831130e-08 -1.06747488e-09 -7.17591784e-08\n -2.78248748e-07 -3.46602168e-08 -3.13904632e-08 -7.33663587e-09\n -2.40106463e-08 -8.59894625e-09 -5.93401825e-08 -1.00328626e-07\n -6.62383739e-08 -1.10143200e-08 -1.37830983e-08 -1.17422622e-08\n -3.64753019e-08 -5.79921722e-08 -6.45067214e-08 -1.57296583e-08\n -5.67529165e-09 -8.71034721e-09 -6.44331659e-09 -1.09556471e-08\n -3.49633793e-09 -7.32794892e-09 -4.56797613e-09 -2.82980090e-09\n -6.11064338e-09 -1.48898103e-08 -8.57183318e-09 -1.09984477e-10\n -7.11430060e-09 -1.26470297e-08 -5.34400208e-09 -8.32036552e-09\n -1.07115590e-08 -1.39336609e-08 -1.12664686e-09 -1.49192838e-09\n -7.25736190e-11 -3.41316927e-09 -3.94108750e-09 -1.25630520e-09\n -1.08503786e-09 -1.26056245e-09 -1.69151879e-09 -2.01531281e-09\n -1.74653643e-09 -1.48954979e-10 -3.54669445e-10 -1.31590466e-09\n -2.19484609e-10 -1.71886341e-09 -1.78977672e-09 -1.02211500e-09\n -8.77642894e-10 -9.06949966e-10 -2.32590970e-10 -8.49908659e-10\n -1.73462398e-10 -1.14486478e-10 -9.74459791e-11 -4.12085589e-10\n -1.48273649e-10 -5.63860091e-10 -3.66765818e-10 -7.20788237e-10\n -3.07416381e-13 -2.86126675e-10 -2.06510450e-10 -5.06455953e-11\n -1.91132770e-10 -1.07140546e-10 -1.95930709e-10 -8.43947684e-11\n -2.01903427e-10 -3.23625008e-11 -2.46050530e-11 -9.89449308e-11\n -1.06205499e-10 -1.95363242e-10 -3.35330580e-11 -3.32782850e-11\n -5.80687114e-11 -1.20994602e-10 -6.22681775e-11 -4.10315108e-11\n -7.58215456e-11 -1.35407020e-11 -7.12110915e-12 -1.70283607e-11\n -7.88859460e-12 -6.64003550e-11 -2.79564193e-12 -3.69730869e-11\n -1.04788085e-11 -1.69985426e-11 -2.96637017e-12 -1.36899243e-11\n -1.17930465e-11 -1.04679896e-11 -1.77874021e-11 -6.22168535e-12\n -9.88482200e-12 -5.66635678e-12 -1.07904469e-11 -1.93988972e-11\n -1.35441324e-11 -1.39247746e-11 -4.72655984e-12 -1.70974964e-11\n -3.89957019e-12 -1.69114633e-11 -1.14076546e-11 -1.46202217e-11\n -2.06451870e-11 -2.46748484e-11 -2.94156576e-11 -3.35806877e-11\n -4.08756916e-11 -4.75653624e-11 -6.46643101e-11 -7.54766587e-11\n -9.07324275e-11 -1.10923483e-10 -1.33510802e-10 -1.55913276e-10\n -1.88566965e-10 -2.29160045e-10 -2.75420537e-10 -3.29848145e-10\n -3.96141498e-10 -4.78431982e-10 -5.75508797e-10 -6.92466613e-10\n -8.33162250e-10 -1.00305637e-09 -1.20662420e-09 -1.45117684e-09\n -1.74447014e-09 -2.09886529e-09 -2.52609621e-09 -3.03916109e-09\n -3.65571222e-09 -4.39766706e-09 -5.29026411e-09 -6.36374786e-09\n -7.65587011e-09 -9.21010822e-09 -1.10797648e-08 -1.33293237e-08\n -1.60352334e-08 -1.92904505e-08 -2.32062761e-08 -2.79175831e-08\n -3.35846586e-08 -4.04028172e-08 -4.86047802e-08 -5.84717468e-08\n -7.03418212e-08 -8.46215700e-08 -1.01800251e-07 -1.22466210e-07\n -1.47327420e-07 -1.77235783e-07 -2.13215575e-07 -2.56499377e-07\n -3.08570139e-07 -3.71211620e-07 -4.46569431e-07 -5.37225469e-07\n -6.46285069e-07 -7.77484389e-07 -9.35317815e-07 -1.12519224e-06\n -1.35361224e-06 -1.62840263e-06 -1.95897685e-06 -2.35665937e-06\n -2.83507342e-06 -3.41060789e-06 -4.10297867e-06 -4.93590407e-06\n -5.93791722e-06 -7.14334360e-06 -8.59347682e-06 -1.03379932e-05\n -1.24366533e-05 -1.49613491e-05 -1.79985666e-05 -2.16523481e-05\n -2.60478563e-05 -3.13356607e-05 -3.76968955e-05 -4.53494629e-05\n -5.45554957e-05 -6.56303351e-05 -7.89533287e-05 -9.49808200e-05\n -1.14261774e-04 -1.37456568e-04 -1.65359603e-04 -1.98926483e-04\n -2.39306724e-04 -2.87883073e-04 -3.46318805e-04 -4.16614586e-04]\nrel_error_fd =  [4.59033501e-03 3.74796312e-02 5.40987493e-02 2.95849804e-02\n 1.67689609e-02 1.51578356e-02 2.02327426e-02 3.20852231e-02\n 1.85646662e-02 1.02608639e-02 1.54979798e-02 2.25711890e-02\n 1.48150772e-02 1.67034545e-02 1.37495186e-02 5.01635802e-03\n 4.61946731e-03 4.34597415e-03 3.29136317e-03 6.83700932e-03\n 7.41136088e-03 3.94431086e-05 4.77981262e-03 8.91407484e-04\n 5.37193373e-03 1.26291993e-03 2.93965884e-03 3.48105607e-03\n 4.68833320e-03 3.65101866e-03 3.87804927e-03 3.63008139e-03\n 3.05059858e-03 3.27152388e-03 6.14994875e-04 1.83589315e-03\n 1.62188712e-04 3.09297130e-04 1.07970054e-03 1.61702880e-03\n 1.38581571e-03 2.10684110e-04 5.55123794e-04 5.89233817e-04\n 1.11235053e-03 4.19684383e-04 4.60435031e-04 7.75177177e-04\n 3.37893905e-05 7.37811122e-04 5.55495052e-04 2.65264933e-04\n 3.78235151e-04 1.06271076e-04 1.84504109e-04 2.86676952e-04\n 1.12771073e-04 3.02458463e-04 1.93165449e-04 2.32043169e-04\n 2.51407105e-04 6.76127278e-05 3.50757260e-05 8.89472247e-05\n 7.90901207e-05 2.88624465e-05 6.81267006e-05 8.23235508e-05\n 4.50844447e-05 6.92461027e-05 5.70808072e-05 6.85523381e-06\n 5.20825873e-05 1.91307598e-05 4.93275557e-05 4.57432736e-05\n 5.94877281e-05 2.80992248e-05 2.23898726e-06 6.42852778e-06\n 4.79325840e-06 2.84392547e-05 3.47639924e-05 1.01379628e-05\n 6.20204415e-06 1.40190893e-05 2.23518854e-05 1.03564045e-05\n 1.85433499e-05 1.82895547e-05 6.28204365e-06 9.21543497e-06\n 7.36218006e-06 7.77540164e-06 9.24341351e-06 3.40429307e-06\n 8.19617219e-06 3.47819213e-06 1.39609949e-07 4.95177556e-06\n 1.21735679e-06 6.02388783e-07 2.48883099e-06 4.85526719e-06\n 2.93428787e-07 1.16277024e-06 2.52258553e-06 2.87264430e-07\n 3.10321672e-06 1.72327403e-07 1.24040306e-06 3.13109203e-07\n 8.66651896e-07 1.69088153e-06 5.39895510e-07 8.03453000e-07\n 3.81047726e-07 6.93836601e-08 3.28754705e-07 9.79694307e-07\n 1.79961306e-08 6.00509735e-07 2.94022507e-07 8.22614545e-07\n 4.42131376e-07 2.30292686e-07 2.47563773e-07 2.91592987e-07\n 2.11168362e-07 4.49174907e-07 3.11002627e-07 1.62599897e-07\n 2.14359383e-07 3.01381494e-07 1.12972792e-07 3.18650169e-08\n 1.05722325e-07 1.38851855e-07 1.31867491e-07 1.34938129e-08\n 7.39842285e-08 1.73362998e-07 7.95921230e-08 6.14167711e-08\n 5.90670379e-08 1.60467061e-08 1.37001677e-08 9.69890433e-08\n 1.01213148e-07 7.28650342e-08 9.87157324e-08 7.97671276e-08\n 8.91863830e-08 1.07642953e-07 1.67866042e-07 1.33952862e-07\n 1.47707596e-07 1.84096201e-07 1.68587237e-07 2.14970550e-07\n 2.00156827e-07 2.58600894e-07 2.63933262e-07 3.13057035e-07\n 3.37745675e-07 3.39661120e-07 4.03495841e-07 4.33994996e-07\n 4.72562342e-07 5.14799029e-07 5.67066096e-07 6.20866547e-07\n 6.88003256e-07 7.41456282e-07 8.17220571e-07 8.94338904e-07\n 9.85520477e-07 1.08649079e-06 1.18554929e-06 1.30248433e-06\n 1.42353255e-06 1.56762199e-06 1.71640349e-06 1.88450187e-06\n 2.06699083e-06 2.26679484e-06 2.48164412e-06 2.72520849e-06\n 2.98883330e-06 3.27710231e-06 3.59504771e-06 3.94148498e-06\n 4.32495733e-06 4.74280150e-06 5.20101468e-06 5.70584320e-06\n 6.25652429e-06 6.86316501e-06 7.52781258e-06 8.25599981e-06\n 9.05632362e-06 9.93317205e-06 1.08938654e-05 1.19487990e-05\n 1.31059532e-05 1.43748370e-05 1.57666428e-05 1.72929741e-05\n 1.89673401e-05 2.08033606e-05 2.28174732e-05 2.50267648e-05\n 2.74496975e-05 3.01073353e-05 3.30222589e-05 3.62193282e-05\n 3.97259132e-05 4.35719214e-05 4.77905207e-05 5.24174913e-05\n 5.74924422e-05 6.30586665e-05 6.91639038e-05 7.58602309e-05\n 8.32048980e-05 9.12605555e-05 1.00096249e-04 1.09787436e-04\n 1.20416844e-04 1.32075481e-04 1.44862961e-04 1.58888498e-04\n 1.74272084e-04 1.91145195e-04 2.09651981e-04 2.29950699e-04\n 2.52214918e-04 2.76634900e-04 3.03419436e-04 3.32797548e-04\n 3.65020373e-04 4.00363442e-04 4.39128955e-04 4.81648371e-04\n 5.28285306e-04 5.79438577e-04 6.35545703e-04 6.97086533e-04\n 7.64587531e-04 8.38626081e-04 9.19835659e-04 1.00891110e-03\n 1.10661466e-03 1.21378251e-03 1.33133198e-03 1.46026941e-03\n 1.60169879e-03 1.75683134e-03 1.92699588e-03 2.11365030e-03\n 2.31839419e-03 2.54298260e-03 2.78934128e-03 3.05958329e-03\n 3.35602738e-03 3.68121809e-03 4.03794789e-03 4.42928147e-03\n 4.85858253e-03 5.32954311e-03 5.84621599e-03 6.41305026e-03\n 7.03493045e-03 7.71721965e-03 8.46580699e-03 9.28715991e-03\n 1.01883818e-02 1.11772755e-02 1.22624133e-02 1.34532144e-02\n 1.47600301e-02 1.61942381e-02 1.77683466e-02 1.94961096e-02\n 2.13926542e-02 2.34746215e-02 2.57603233e-02 2.82699148e-02\n 3.10255871e-02 3.40517802e-02 3.73754203e-02 4.10261824e-02\n 4.50367840e-02 4.94433102e-02 5.42855773e-02 5.96075361e-02\n 6.54577231e-02 7.18897621e-02 7.89629233e-02 8.67427466e-02]\nrel_error_cd =  [1.37924265e-01 3.74796312e-02 5.40987493e-02 7.67618711e-02\n 1.82839548e-02 7.32431441e-02 2.14920835e-02 4.13982238e-02\n 5.05260511e-02 1.02608639e-02 1.54979798e-02 2.89977012e-02\n 3.14784874e-02 2.55037748e-02 1.31482436e-02 5.01635802e-03\n 2.78682269e-02 3.89028178e-03 2.32986130e-02 1.77846632e-02\n 1.50369554e-02 2.04273591e-02 4.77981262e-03 1.61216525e-02\n 1.01393826e-02 1.28792117e-02 2.74129261e-03 8.09375562e-03\n 4.68833320e-03 6.12089809e-03 5.03129988e-03 4.36787105e-03\n 4.35531126e-03 3.48066592e-03 5.54117878e-03 3.77687474e-03\n 8.34605804e-05 4.35632459e-03 1.07970054e-03 2.26127625e-03\n 1.33141622e-03 2.96356513e-03 2.38415396e-03 5.89233817e-04\n 1.11235053e-03 4.19684383e-04 4.60435031e-04 7.46689412e-04\n 3.37893905e-05 7.14130625e-04 8.69459368e-04 2.65264933e-04\n 3.78235151e-04 9.73668943e-04 1.84504109e-04 2.86676952e-04\n 1.25172006e-04 4.43757470e-04 4.76873671e-04 2.32043169e-04\n 3.05563918e-04 4.40194434e-04 3.50757260e-05 8.89472247e-05\n 7.31692697e-05 2.88624465e-05 2.56706570e-04 8.68108269e-05\n 2.16751330e-04 6.92461027e-05 1.63971376e-04 6.85523381e-06\n 4.92556649e-05 2.17081497e-05 4.93275557e-05 9.13741138e-05\n 6.94329888e-05 8.58798089e-05 2.23898726e-06 6.42852778e-06\n 8.29385367e-05 2.84392547e-05 3.70412371e-05 5.63519369e-05\n 5.34861605e-05 4.21010445e-05 2.72640242e-05 1.10632218e-05\n 1.85433499e-05 1.99007394e-05 6.28204365e-06 9.70383095e-06\n 2.15813611e-05 1.82073118e-05 1.48159485e-05 3.74176447e-06\n 8.50385497e-06 1.44753186e-05 1.16151823e-07 4.95177556e-06\n 1.42995914e-06 6.02388783e-07 2.48883099e-06 4.85526719e-06\n 9.10841283e-06 7.54310690e-06 2.52258553e-06 1.75929454e-07\n 3.49476634e-06 2.64874768e-07 1.24040306e-06 4.68734966e-06\n 8.66651896e-07 1.69088153e-06 3.24983668e-06 2.70491645e-06\n 2.76917284e-06 6.93836601e-08 2.28987086e-06 1.40778505e-06\n 1.79961306e-08 1.38408606e-06 2.94022507e-07 7.97234572e-07\n 4.42131376e-07 1.14102144e-06 2.47563773e-07 8.48313934e-07\n 8.44107951e-07 4.49174907e-07 5.39615572e-07 1.50482177e-07\n 4.92718269e-07 3.11454367e-07 9.46053119e-08 4.86111985e-08\n 3.67585527e-07 3.34437955e-07 1.57250579e-07 4.82075949e-08\n 1.05633823e-07 1.72907603e-07 2.44882745e-07 2.42412182e-07\n 1.26821222e-07 1.43463782e-07 4.68958695e-08 1.48861094e-07\n 2.81758548e-08 7.50255393e-09 1.25291937e-07 1.06489399e-07\n 9.61473817e-08 9.49498510e-08 4.05665517e-08 7.85592730e-08\n 7.07491287e-08 5.70971529e-08 1.73309266e-08 1.08328982e-08\n 2.41823296e-08 3.68410457e-08 3.87732003e-08 2.38373416e-08\n 2.45269854e-08 1.72179858e-08 1.88633148e-08 2.28766040e-08\n 2.06651782e-09 1.33355515e-09 2.02439706e-08 1.92540695e-08\n 7.09663288e-09 5.55661924e-09 1.93672364e-09 9.33695296e-09\n 1.21470909e-08 5.60046770e-09 1.81068088e-10 7.39831108e-09\n 5.60329431e-09 4.72538377e-09 4.22483215e-10 2.48595934e-09\n 3.30936594e-09 2.52074189e-09 3.03325618e-09 3.07017273e-09\n 2.77194229e-09 2.41872270e-10 2.42813174e-09 2.47600371e-09\n 1.58648502e-09 2.07990367e-09 1.86512825e-09 8.04735436e-10\n 1.06087802e-09 7.82378841e-11 1.49747369e-09 9.61256370e-10\n 4.86300814e-10 6.82446946e-10 4.01928663e-10 7.98489788e-10\n 8.32461103e-10 7.28256401e-10 2.18566529e-10 5.99933186e-10\n 4.00491239e-10 5.12546741e-10 4.58413557e-10 3.75583634e-10\n 4.82566055e-10 9.61162310e-11 2.23975287e-10 1.25361542e-10\n 3.88468927e-10 2.49345736e-10 3.24742318e-10 3.50630643e-10\n 1.81047478e-10 1.70916225e-10 2.66034853e-10 3.60376010e-10\n 3.22493437e-10 4.78822744e-10 4.63618629e-10 6.13796129e-10\n 8.00205006e-10 9.72032886e-10 1.20599801e-09 1.50004400e-09\n 1.80569352e-09 2.06726745e-09 2.54073384e-09 3.03216101e-09\n 3.62151764e-09 4.40226283e-09 5.27696285e-09 6.39483267e-09\n 7.64305315e-09 9.22954344e-09 1.10551557e-08 1.33069232e-08\n 1.60206564e-08 1.93104009e-08 2.32148256e-08 2.79275199e-08\n 3.35766480e-08 4.04101846e-08 4.86154518e-08 5.84832635e-08\n 7.03329459e-08 8.46161597e-08 1.01798587e-07 1.22469357e-07\n 1.47324145e-07 1.77239229e-07 2.13216415e-07 2.56502425e-07\n 3.08573070e-07 3.71209269e-07 4.46567098e-07 5.37227813e-07\n 6.46282215e-07 7.77483268e-07 9.35317003e-07 1.12519496e-06\n 1.35361029e-06 1.62840413e-06 1.95897749e-06 2.35665747e-06\n 2.83507225e-06 3.41060917e-06 4.10297933e-06 4.93590328e-06\n 5.93791809e-06 7.14334271e-06 8.59347659e-06 1.03379933e-05\n 1.24366530e-05 1.49613484e-05 1.79985668e-05 2.16523476e-05\n 2.60478566e-05 3.13356602e-05 3.76968957e-05 4.53494633e-05\n 5.45554961e-05 6.56303351e-05 7.89533287e-05 9.49808199e-05\n 1.14261774e-04 1.37456568e-04 1.65359603e-04 1.98926483e-04\n 2.39306724e-04 2.87883073e-04 3.46318805e-04 4.16614586e-04]\nrel_error_fd =  [1.45609296e-03 1.60366548e-04 1.27849199e-03 1.12008906e-03\n 4.41638071e-04 7.14414779e-05 6.30723798e-04 4.65180385e-04\n 4.41395312e-04 3.38435851e-04 6.78752910e-05 3.63964295e-04\n 4.44834970e-04 4.43950207e-04 3.33810314e-05 3.28836287e-04\n 1.74878100e-04 3.20754232e-04 2.36050935e-04 2.81599599e-05\n 2.65181412e-04 2.19523517e-04 7.94289551e-05 7.88619677e-05\n 2.93884479e-06 1.44515837e-04 5.94938909e-05 9.30936687e-06\n 1.90635915e-05 1.83633394e-05 8.05336418e-05 5.21588025e-05\n 1.07612685e-05 1.81481074e-05 2.26728612e-05 6.33455047e-05\n 2.46666115e-05 2.24729550e-05 1.60999343e-05 3.83467671e-05\n 2.17928129e-05 2.76587437e-05 3.36981564e-05 9.66420724e-06\n 3.32689499e-06 2.06115944e-05 1.53214795e-05 2.97851590e-06\n 1.44129744e-05 8.43384709e-06 3.44289551e-08 1.01567899e-05\n 1.59041929e-06 1.68013443e-06 1.13047176e-05 1.23431314e-06\n 7.19452967e-06 4.20702714e-06 2.77580622e-07 3.11603289e-06\n 4.97614638e-08 3.29267223e-08 4.82121270e-06 4.74108910e-06\n 3.67983298e-07 8.92176829e-07 1.68521243e-07 3.13899707e-06\n 3.04441163e-06 1.36140734e-06 6.78773133e-07 9.46705103e-07\n 6.28429283e-07 3.50953472e-07 9.62277414e-07 8.94711554e-07\n 7.33611326e-07 1.21419438e-06 1.03352543e-06 3.39080947e-07\n 5.97249854e-07 3.41723542e-07 6.87848303e-07 2.86291035e-07\n 2.30734696e-08 2.69844964e-07 3.95648748e-07 3.02503892e-07\n 4.39409625e-07 4.38256142e-07 3.81857632e-07 1.72767367e-07\n 6.95977828e-08 3.16297519e-07 4.38316624e-08 8.07143373e-09\n 3.38609851e-08 5.05817646e-08 1.20619057e-07 1.02940619e-07\n 7.07013864e-08 3.71453471e-08 8.43622653e-09 1.00004754e-07\n 6.37878387e-08 6.67683536e-09 7.44511014e-08 6.20341010e-08\n 1.39729309e-08 1.79945164e-08 5.23782389e-08 2.85004611e-08\n 6.67964555e-09 2.85711777e-08 3.03433548e-08 3.27069165e-08\n 4.49753900e-09 1.95406942e-08 2.91694666e-09 7.21680873e-09\n 1.47156292e-08 1.91544371e-08 6.99248272e-09 3.65949043e-09\n 7.21632211e-09 4.23387258e-09 1.86314631e-10 6.09777613e-09\n 4.47900426e-09 4.89713256e-10 2.41081087e-09 1.98883185e-09\n 8.27818616e-09 7.72547784e-09 9.05606090e-09 8.21476094e-09\n 1.40950393e-08 1.63248735e-08 1.31681887e-08 1.50077444e-08\n 1.67922583e-08 2.18835886e-08 2.39032335e-08 2.61353733e-08\n 2.96250588e-08 3.16073963e-08 3.50572074e-08 3.87577665e-08\n 4.36273037e-08 4.60382566e-08 5.25354796e-08 5.67745282e-08\n 6.32190351e-08 6.86788488e-08 7.51955153e-08 8.31774246e-08\n 9.05998747e-08 9.99859727e-08 1.09671896e-07 1.19696603e-07\n 1.31782714e-07 1.44700214e-07 1.58608864e-07 1.74109957e-07\n 1.90546293e-07 2.09392431e-07 2.29590805e-07 2.51756960e-07\n 2.76359950e-07 3.02955014e-07 3.32442673e-07 3.64398785e-07\n 3.99902905e-07 4.38555507e-07 4.80991539e-07 5.27601808e-07\n 5.78800695e-07 6.34826682e-07 6.96277110e-07 7.63583975e-07\n 8.37541737e-07 9.18688873e-07 1.00768008e-06 1.10518499e-06\n 1.21222435e-06 1.32957984e-06 1.45829856e-06 1.59945703e-06\n 1.75435338e-06 1.92422548e-06 2.11050377e-06 2.31482207e-06\n 2.53895944e-06 2.78476423e-06 3.05438298e-06 3.35008631e-06\n 3.67443579e-06 4.03019460e-06 4.42036876e-06 4.84833612e-06\n 5.31773780e-06 5.83258236e-06 6.39727307e-06 7.01663644e-06\n 7.69596780e-06 8.44106137e-06 9.25829788e-06 1.01546546e-05\n 1.11377911e-05 1.22161239e-05 1.33988436e-05 1.46960824e-05\n 1.61189161e-05 1.76795048e-05 1.93911845e-05 2.12685905e-05\n 2.33277591e-05 2.55862989e-05 2.80635101e-05 3.07805629e-05\n 3.37606803e-05 3.70293373e-05 4.06144660e-05 4.45467130e-05\n 4.88596898e-05 5.35902580e-05 5.87788563e-05 6.44698345e-05\n 7.07118412e-05 7.75582332e-05 8.50675376e-05 9.33039490e-05\n 1.02337881e-04 1.12246567e-04 1.23114724e-04 1.35035273e-04\n 1.48110139e-04 1.62451124e-04 1.78180861e-04 1.95433867e-04\n 2.14357698e-04 2.35114206e-04 2.57880938e-04 2.82852647e-04\n 3.10242974e-04 3.40286273e-04 3.73239627e-04 4.09385058e-04\n 4.49031947e-04 4.92519699e-04 5.40220659e-04 5.92543322e-04\n 6.49935851e-04 7.12889942e-04 7.81945069e-04 8.57693143e-04\n 9.40783632e-04 1.03192918e-03 1.13191181e-03 1.24158966e-03\n 1.36190451e-03 1.49388991e-03 1.63868029e-03 1.79752078e-03\n 1.97177818e-03 2.16295295e-03 2.37269240e-03 2.60280528e-03\n 2.85527772e-03 3.13229098e-03 3.43624083e-03 3.76975903e-03\n 4.13573700e-03 4.53735198e-03 4.97809585e-03 5.46180707e-03\n 5.99270597e-03 6.57543385e-03 7.21509619e-03 7.91731074e-03\n 8.68826073e-03 9.53475411e-03 1.04642894e-02 1.14851290e-02\n 1.26063811e-02 1.38380908e-02 1.51913426e-02 1.66783748e-02\n 1.83127078e-02 2.01092889e-02 2.20846547e-02 2.42571155e-02\n 2.66469625e-02 2.92767048e-02 3.21713367e-02 3.53586446e-02\n 3.88695562e-02 4.27385426e-02 4.70040795e-02 5.17091808e-02]\nrel_error_cd =  [5.53049706e-04 1.60366548e-04 3.91610862e-04 4.02593731e-04\n 9.46637432e-04 7.14414779e-05 5.23282295e-04 5.86961530e-04\n 5.17873982e-04 3.38435851e-04 6.78752910e-05 3.63964295e-04\n 2.18000020e-04 1.60376305e-04 3.33810314e-05 1.73511032e-04\n 1.74878100e-04 9.68227295e-05 1.44666487e-04 2.81599599e-05\n 5.12905159e-05 6.90134172e-05 7.94289551e-05 7.88619677e-05\n 2.93884479e-06 1.44515837e-04 5.94938909e-05 9.30936687e-06\n 1.90635915e-05 1.83633394e-05 8.05336418e-05 6.23565252e-05\n 1.07612685e-05 1.81481074e-05 2.26728612e-05 1.57821881e-05\n 2.46666115e-05 2.24729550e-05 1.60999343e-05 1.63288112e-05\n 2.80565494e-05 1.77904128e-05 7.73920070e-06 9.66420724e-06\n 3.32689499e-06 1.07928208e-05 1.53214795e-05 2.97851590e-06\n 1.44129744e-05 8.43384709e-06 3.44289551e-08 7.88119563e-06\n 1.59041929e-06 1.68013443e-06 2.36585469e-06 1.23431314e-06\n 7.19452967e-06 4.20702714e-06 2.77580622e-07 3.11603289e-06\n 4.97614638e-08 3.29267223e-08 1.70583014e-06 1.20981133e-06\n 3.67983298e-07 8.92176829e-07 1.68521243e-07 9.72950477e-07\n 7.04574100e-07 1.36140734e-06 6.78773133e-07 9.46705103e-07\n 6.28429283e-07 3.50953472e-07 1.19105517e-06 8.94711554e-07\n 7.33611326e-07 4.17766610e-07 4.54382283e-07 3.39080947e-07\n 5.97249854e-07 3.41723542e-07 6.87848303e-07 2.86291035e-07\n 2.30734696e-08 2.69844964e-07 3.14755844e-07 3.02503892e-07\n 1.51115258e-07 1.00143079e-07 1.09017062e-07 1.72767367e-07\n 6.95977828e-08 5.57250660e-08 4.38316624e-08 8.07143373e-09\n 3.38609851e-08 5.05817646e-08 1.20619057e-07 1.02940619e-07\n 7.07013864e-08 3.71453471e-08 8.43622653e-09 4.76445871e-08\n 6.37878387e-08 6.67683536e-09 3.74489214e-08 6.20341010e-08\n 1.39729309e-08 1.79945164e-08 2.49423331e-08 4.19950199e-08\n 6.67964555e-09 2.85711777e-08 2.30835410e-08 3.27069165e-08\n 4.49753900e-09 2.09503153e-08 2.91694666e-09 7.21680873e-09\n 1.59715710e-08 8.82400211e-09 6.99248272e-09 3.65949043e-09\n 1.39878904e-08 4.23387258e-09 1.86314631e-10 6.09777613e-09\n 4.47900426e-09 4.89713256e-10 2.41081087e-09 1.98883185e-09\n 1.84580861e-09 1.50487157e-09 6.40475103e-10 5.42019277e-10\n 1.04102723e-10 3.56891748e-09 4.27679208e-09 4.40433688e-09\n 2.29109189e-09 1.51657523e-10 2.04999055e-10 3.17155687e-09\n 4.34947845e-10 1.15560944e-09 1.03574057e-09 1.74318321e-09\n 2.22236896e-10 2.53146753e-10 1.18030421e-09 8.03912229e-10\n 5.68573312e-10 3.44287893e-10 9.62552125e-10 2.14516364e-10\n 2.44276589e-10 4.77325686e-10 6.73372403e-10 5.58182026e-10\n 6.25695247e-11 3.10701658e-10 2.50294976e-10 1.55657123e-10\n 9.69196360e-11 2.58891695e-10 4.35200394e-12 2.35019665e-10\n 7.99468006e-11 2.08346086e-11 4.26938799e-11 1.76949816e-10\n 9.89964868e-12 1.12835461e-11 8.66420676e-11 8.54498423e-11\n 4.32106314e-11 5.49635133e-11 5.23944226e-12 1.14473917e-10\n 5.45438034e-11 2.31666205e-11 1.27900013e-11 7.06695843e-11\n 7.42719771e-12 4.33958744e-11 7.53629416e-12 2.70229689e-12\n 1.45805493e-11 4.20147897e-11 3.65475107e-11 1.31980582e-11\n 3.11752641e-11 1.44581925e-11 1.41564193e-12 9.62881625e-12\n 1.14466885e-11 2.23014836e-13 7.96444246e-12 1.28476637e-11\n 2.85037071e-12 2.64945644e-12 5.25491265e-12 2.13164010e-11\n 1.22617977e-11 1.28958831e-11 1.21080983e-11 1.98181833e-11\n 2.24885348e-11 3.06416358e-11 3.35354040e-11 3.98310525e-11\n 4.26177334e-11 5.07145784e-11 5.96721400e-11 7.58222316e-11\n 8.88521245e-11 1.09710240e-10 1.30491807e-10 1.58784755e-10\n 1.91919536e-10 2.29886506e-10 2.73916064e-10 3.29651691e-10\n 3.99656651e-10 4.78286659e-10 5.76576330e-10 6.92811662e-10\n 8.33712838e-10 1.00208020e-09 1.20601682e-09 1.45026769e-09\n 1.74533300e-09 2.09951431e-09 2.52520844e-09 3.03891669e-09\n 3.65518665e-09 4.39788271e-09 5.29034489e-09 6.36415731e-09\n 7.65612485e-09 9.21022765e-09 1.10800124e-08 1.33294706e-08\n 1.60353578e-08 1.92902409e-08 2.32065253e-08 2.79176038e-08\n 3.35848683e-08 4.04025439e-08 4.86046215e-08 5.84717135e-08\n 7.03418172e-08 8.46214901e-08 1.01800242e-07 1.22466102e-07\n 1.47327485e-07 1.77235779e-07 2.13215490e-07 2.56499474e-07\n 3.08570238e-07 3.71211631e-07 4.46569569e-07 5.37225600e-07\n 6.46285314e-07 7.77484710e-07 9.35318347e-07 1.12519303e-06\n 1.35361333e-06 1.62840420e-06 1.95897914e-06 2.35666269e-06\n 2.83507822e-06 3.41061487e-06 4.10298878e-06 4.93591867e-06\n 5.93793838e-06 7.14337421e-06 8.59352112e-06 1.03380573e-05\n 1.24367461e-05 1.49614834e-05 1.79987609e-05 2.16526294e-05\n 2.60482634e-05 3.13362499e-05 3.76977482e-05 4.53506968e-05\n 5.45572816e-05 6.56329196e-05 7.89570690e-05 9.49862332e-05\n 1.14269608e-04 1.37467906e-04 1.65376011e-04 1.98950229e-04\n 2.39341090e-04 2.87932808e-04 3.46390782e-04 4.16718753e-04]\nrel_error_fd =  [1.67703059e-04 9.47347480e-04 8.65383064e-04 4.27824800e-04\n 1.71198186e-04 3.98674979e-04 2.99998926e-04 1.23876494e-04\n 1.48969174e-05 6.12268106e-04 4.69544337e-04 2.40709045e-04\n 3.41669756e-04 2.35407404e-06 6.86213997e-06 4.49828800e-05\n 3.25360618e-04 3.09133552e-04 2.41041769e-04 2.93959962e-04\n 6.79313999e-06 1.88155785e-04 2.46632462e-04 1.07842017e-04\n 2.38295168e-05 5.61292985e-05 6.78636671e-05 6.01699447e-05\n 2.22963471e-06 3.85763269e-06 7.77523613e-05 1.74432623e-05\n 7.42485436e-06 2.32057617e-05 6.38810146e-05 8.51059685e-07\n 1.76077368e-05 4.84979988e-05 1.32199446e-05 1.31966163e-05\n 1.44643783e-05 5.83027830e-06 1.44463708e-05 2.09009950e-06\n 1.45649717e-05 3.78665118e-06 1.21670143e-05 2.40316519e-05\n 2.76580720e-06 1.01800679e-05 1.09798892e-05 8.34410281e-06\n 2.60043228e-06 2.11453643e-07 1.36621199e-05 6.92597948e-06\n 7.91856447e-07 2.39498632e-06 1.93546471e-06 4.25093972e-06\n 4.02680052e-06 1.02084298e-06 3.47569452e-06 4.53413109e-06\n 5.68674189e-07 5.00673141e-06 2.73042812e-06 3.11449288e-06\n 5.91374729e-07 2.15866985e-07 2.96625588e-06 4.99638019e-07\n 8.57645537e-07 1.76572663e-06 8.27811475e-07 6.52290240e-07\n 1.50077091e-06 1.50776821e-07 2.38442407e-07 8.67579458e-07\n 2.27532940e-08 1.48878283e-07 3.80235041e-07 6.17129421e-07\n 4.51667805e-08 2.57663731e-07 3.55244763e-07 3.58198061e-07\n 6.20523561e-07 2.06235293e-07 5.59328281e-08 1.46168510e-07\n 1.27913897e-07 1.61720531e-07 4.82769863e-08 5.16608257e-08\n 1.65717473e-07 8.05972047e-08 5.61008694e-08 2.61754973e-08\n 9.04254036e-08 3.98144965e-08 2.47541597e-08 6.02714694e-08\n 2.13905115e-08 4.31614721e-08 5.00325843e-08 8.99800675e-08\n 5.72130784e-09 2.77379527e-08 2.63776524e-09 6.74398631e-09\n 5.61123166e-08 4.01419075e-09 3.90264844e-08 2.16396993e-08\n 3.42538407e-08 5.15712126e-09 4.86802368e-09 1.30167668e-08\n 1.53216853e-08 7.05886535e-09 4.51276072e-09 1.97545156e-08\n 1.85700519e-09 1.41748316e-09 4.65522375e-09 3.48882674e-09\n 8.33250810e-09 1.50909121e-08 1.96329970e-08 1.36265265e-08\n 3.54601388e-09 1.24834782e-08 1.01048071e-08 1.60828268e-08\n 1.72687865e-08 2.07467234e-08 1.59861025e-08 2.07049595e-08\n 2.05060164e-08 2.33361056e-08 2.40022063e-08 2.73748643e-08\n 3.04018873e-08 3.22743570e-08 3.66260416e-08 4.03852028e-08\n 4.29232472e-08 4.68779028e-08 5.32569910e-08 5.79278278e-08\n 6.33647440e-08 6.92684144e-08 7.62308792e-08 8.34985179e-08\n 9.14680037e-08 1.00526197e-07 1.10305207e-07 1.20965615e-07\n 1.32007439e-07 1.45040740e-07 1.58920453e-07 1.74200722e-07\n 1.91371965e-07 2.09546589e-07 2.30040993e-07 2.52063345e-07\n 2.76284711e-07 3.03202690e-07 3.32436798e-07 3.64769430e-07\n 3.99956925e-07 4.38529533e-07 4.81045174e-07 5.27688191e-07\n 5.78689997e-07 6.34935888e-07 6.96246573e-07 7.63765572e-07\n 8.37631090e-07 9.18737567e-07 1.00762021e-06 1.10522961e-06\n 1.21225812e-06 1.32959672e-06 1.45834612e-06 1.59950477e-06\n 1.75437393e-06 1.92423678e-06 2.11055208e-06 2.31484835e-06\n 2.53895715e-06 2.78478480e-06 3.05439089e-06 3.35010107e-06\n 3.67445190e-06 4.03018376e-06 4.42038619e-06 4.84834847e-06\n 5.31774864e-06 5.83258121e-06 6.39729626e-06 7.01664224e-06\n 7.69596995e-06 8.44106782e-06 9.25829782e-06 1.01546599e-05\n 1.11378056e-05 1.22161262e-05 1.33988470e-05 1.46960865e-05\n 1.61189215e-05 1.76795094e-05 1.93911857e-05 2.12685924e-05\n 2.33277616e-05 2.55862999e-05 2.80635118e-05 3.07805654e-05\n 3.37606818e-05 3.70293377e-05 4.06144671e-05 4.45467150e-05\n 4.88596913e-05 5.35902589e-05 5.87788568e-05 6.44698370e-05\n 7.07118420e-05 7.75582330e-05 8.50675390e-05 9.33039502e-05\n 1.02337881e-04 1.12246568e-04 1.23114724e-04 1.35035273e-04\n 1.48110140e-04 1.62451124e-04 1.78180861e-04 1.95433868e-04\n 2.14357698e-04 2.35114207e-04 2.57880938e-04 2.82852647e-04\n 3.10242975e-04 3.40286273e-04 3.73239627e-04 4.09385058e-04\n 4.49031947e-04 4.92519699e-04 5.40220659e-04 5.92543322e-04\n 6.49935851e-04 7.12889942e-04 7.81945069e-04 8.57693143e-04\n 9.40783632e-04 1.03192918e-03 1.13191181e-03 1.24158966e-03\n 1.36190451e-03 1.49388991e-03 1.63868029e-03 1.79752078e-03\n 1.97177818e-03 2.16295295e-03 2.37269240e-03 2.60280528e-03\n 2.85527772e-03 3.13229098e-03 3.43624083e-03 3.76975903e-03\n 4.13573700e-03 4.53735198e-03 4.97809585e-03 5.46180707e-03\n 5.99270597e-03 6.57543385e-03 7.21509619e-03 7.91731074e-03\n 8.68826073e-03 9.53475411e-03 1.04642894e-02 1.14851290e-02\n 1.26063811e-02 1.38380908e-02 1.51913426e-02 1.66783748e-02\n 1.83127078e-02 2.01092889e-02 2.20846547e-02 2.42571155e-02\n 2.66469625e-02 2.92767048e-02 3.21713367e-02 3.53586446e-02\n 3.88695562e-02 4.27385426e-02 4.70040795e-02 5.17091808e-02]\nrel_error_cd =  [1.80141596e-03 5.42157502e-04 8.65383064e-04 8.10328449e-04\n 1.71198186e-04 3.98674979e-04 6.38368803e-04 1.23876494e-04\n 7.65122664e-04 9.88991068e-05 1.78848109e-04 2.40709045e-04\n 3.41669756e-04 2.35407404e-06 6.86213997e-06 3.63495477e-04\n 3.25360618e-04 3.69962941e-04 6.85345366e-05 2.70540016e-04\n 2.64128908e-04 4.64649417e-05 3.27217191e-05 1.07842017e-04\n 2.38295168e-05 5.61292985e-05 6.78636671e-05 6.01699447e-05\n 2.22963471e-06 3.85763269e-06 2.43797621e-05 1.74432623e-05\n 7.74726263e-05 2.32057617e-05 6.38810146e-05 6.51928980e-05\n 4.10546441e-05 4.98625074e-06 1.32199446e-05 1.31966163e-05\n 2.60700982e-05 3.11262179e-05 1.92479736e-05 2.86300433e-05\n 1.45649717e-05 2.93228160e-05 1.11150719e-05 2.40316519e-05\n 2.76580720e-06 7.46488714e-06 1.09798892e-05 6.32329249e-06\n 2.60043228e-06 2.11453643e-07 2.54604006e-06 1.33437464e-05\n 7.91856447e-07 6.02963369e-06 1.93546471e-06 4.25093972e-06\n 4.02680052e-06 1.02084298e-06 1.83170065e-06 3.04780038e-07\n 5.68674189e-07 9.84379287e-07 9.36870781e-07 2.29093354e-07\n 5.91374729e-07 2.15866985e-07 4.32229161e-07 4.99638019e-07\n 1.24876798e-06 1.54753650e-07 9.23147916e-07 6.52290240e-07\n 1.41020433e-06 1.50776821e-07 2.38442407e-07 8.67579458e-07\n 9.82958164e-07 1.48878283e-07 4.55764116e-07 1.45076047e-07\n 4.51667805e-08 3.75920707e-07 3.55244763e-07 6.95137967e-07\n 1.40344560e-07 2.06235293e-07 3.43216687e-07 1.46168510e-07\n 1.27913897e-07 4.43291852e-07 4.82769863e-08 5.16608257e-08\n 2.92807428e-07 1.28428237e-07 1.34473886e-07 2.61754973e-08\n 9.04254036e-08 3.98144965e-08 2.47541597e-08 5.97880153e-08\n 8.80713163e-08 4.31614721e-08 5.00325843e-08 7.02147816e-09\n 5.72130784e-09 2.77379527e-08 6.02346321e-08 6.74398631e-09\n 3.84954206e-09 4.01419075e-09 4.41702530e-09 1.79690494e-08\n 3.42538407e-08 5.15712126e-09 4.86802368e-09 1.30167668e-08\n 1.53216853e-08 1.56915037e-08 4.51276072e-09 8.43237158e-10\n 1.85700519e-09 1.71375118e-08 4.65522375e-09 3.48882674e-09\n 3.58133819e-09 4.22870166e-09 1.73808265e-10 4.43193097e-09\n 3.54601388e-09 4.97791815e-09 3.58128052e-09 2.63419705e-09\n 5.89220581e-09 1.98447106e-12 1.80090267e-09 8.50159526e-10\n 3.07692067e-09 1.83483554e-09 2.13559621e-09 2.41340729e-09\n 2.18874383e-09 2.56050255e-09 5.04693615e-10 1.27736646e-09\n 1.63760065e-09 1.02928291e-09 2.18914425e-10 1.03794208e-09\n 1.47052165e-09 4.84044791e-10 2.99185602e-10 1.01737903e-09\n 7.63899648e-11 8.63594364e-10 7.50740091e-11 9.38569697e-11\n 4.83088579e-10 2.68517053e-11 1.03292152e-10 1.22826130e-10\n 1.47495849e-10 9.84790702e-11 3.19886868e-10 1.76795509e-10\n 1.96604442e-10 2.60091832e-10 2.28898045e-10 5.42110052e-11\n 3.20723982e-11 2.10448198e-10 4.55662133e-11 1.71801412e-10\n 4.20112541e-11 4.95890680e-11 8.41587598e-11 5.73560659e-11\n 6.91411806e-11 7.09358143e-12 5.04441533e-12 2.54744853e-12\n 1.00081252e-11 1.23461318e-11 2.16493099e-11 1.75692753e-11\n 9.85798703e-12 4.02571365e-11 2.46319796e-11 7.60199288e-12\n 3.10810612e-11 1.31938654e-12 1.21295015e-11 1.04866398e-11\n 9.58989474e-12 1.20943766e-12 1.13595326e-11 9.24142378e-12\n 4.01109192e-12 4.69659785e-12 5.03183574e-12 3.65281868e-12\n 8.05306102e-12 8.59692404e-12 2.17211933e-11 1.84460890e-11\n 2.95723274e-11 3.37373151e-11 2.83780832e-11 3.83391576e-11\n 4.42719860e-11 5.51453256e-11 6.30309310e-11 7.53257642e-11\n 8.96171580e-11 1.04854308e-10 1.28769741e-10 1.57890510e-10\n 1.91013223e-10 2.27418881e-10 2.74491541e-10 3.30926519e-10\n 3.98246764e-10 4.78712025e-10 5.75244037e-10 6.92049118e-10\n 8.33551691e-10 1.00180713e-09 1.20608675e-09 1.45109125e-09\n 1.74540201e-09 2.09951125e-09 2.52520324e-09 3.03818550e-09\n 3.65475855e-09 4.39747237e-09 5.29021479e-09 6.36388617e-09\n 7.65589120e-09 9.21028015e-09 1.10800932e-08 1.33290115e-08\n 1.60349665e-08 1.92902144e-08 2.32064633e-08 2.79173274e-08\n 3.35848637e-08 4.04027294e-08 4.86048051e-08 5.84717253e-08\n 7.03417535e-08 8.46216146e-08 1.01800190e-07 1.22466144e-07\n 1.47327461e-07 1.77235760e-07 2.13215532e-07 2.56499428e-07\n 3.08570209e-07 3.71211560e-07 4.46569597e-07 5.37225587e-07\n 6.46285326e-07 7.77484690e-07 9.35318317e-07 1.12519304e-06\n 1.35361332e-06 1.62840420e-06 1.95897916e-06 2.35666268e-06\n 2.83507823e-06 3.41061485e-06 4.10298879e-06 4.93591869e-06\n 5.93793836e-06 7.14337419e-06 8.59352112e-06 1.03380573e-05\n 1.24367460e-05 1.49614834e-05 1.79987609e-05 2.16526294e-05\n 2.60482634e-05 3.13362499e-05 3.76977482e-05 4.53506968e-05\n 5.45572816e-05 6.56329196e-05 7.89570690e-05 9.49862332e-05\n 1.14269608e-04 1.37467906e-04 1.65376011e-04 1.98950229e-04\n 2.39341090e-04 2.87932808e-04 3.46390782e-04 4.16718753e-04]\nrel_error_fd =  [5.27010402e-03 3.62458291e-02 5.52236436e-02 3.11209988e-02\n 1.86347587e-02 1.59019603e-02 2.12980178e-02 3.24444935e-02\n 1.75939953e-02 1.04846012e-02 1.47594029e-02 2.34882721e-02\n 1.54878637e-02 1.70625188e-02 1.28680642e-02 5.14801012e-03\n 4.03885242e-03 4.23523205e-03 3.77519097e-03 6.62751383e-03\n 7.14137800e-03 1.41698936e-05 4.81829217e-03 7.86234611e-04\n 5.27536050e-03 1.17424763e-03 2.79731251e-03 3.66690990e-03\n 4.53135342e-03 3.64557188e-03 3.84134480e-03 3.71245696e-03\n 3.10814502e-03 3.15464360e-03 5.44414304e-04 1.82384904e-03\n 1.08569130e-04 2.37744912e-04 1.01903772e-03 1.58890110e-03\n 1.34283715e-03 2.46544967e-04 5.81239639e-04 6.10399519e-04\n 1.12628639e-03 4.40816855e-04 4.26339459e-04 7.47991309e-04\n 3.91377223e-05 7.07013014e-04 5.31941996e-04 2.47861434e-04\n 3.75593242e-04 9.70998558e-05 1.93320767e-04 2.94101669e-04\n 1.23834466e-04 2.91864787e-04 1.87799707e-04 2.28124167e-04\n 2.43407939e-04 5.68526102e-05 3.87975508e-05 8.90543490e-05\n 7.37163772e-05 3.00976076e-05 6.46380643e-05 8.59791112e-05\n 4.82550008e-05 7.06037326e-05 5.43250282e-05 4.10116126e-06\n 4.88781594e-05 2.07483192e-05 4.88260035e-05 4.78266277e-05\n 5.65152602e-05 2.97781852e-05 3.55732033e-07 6.16816332e-06\n 4.18827233e-06 2.81673502e-05 3.58314542e-05 9.16357659e-06\n 7.42242841e-06 1.34753380e-05 2.29653052e-05 1.06852883e-05\n 1.86103448e-05 1.84763272e-05 6.04894805e-06 9.49067793e-06\n 7.28686405e-06 7.88230893e-06 8.87038006e-06 3.77879315e-06\n 8.32738301e-06 3.83441616e-06 2.47272060e-07 5.17018403e-06\n 1.49934342e-06 7.08574389e-07 2.57186070e-06 4.98485275e-06\n 4.01083284e-07 1.29310947e-06 2.44514279e-06 1.95101453e-07\n 3.05127203e-06 2.60596407e-07 1.27090089e-06 3.13224660e-07\n 8.71343714e-07 1.72386806e-06 5.45462727e-07 7.46314239e-07\n 3.68060762e-07 7.72882615e-08 3.04781052e-07 9.68435915e-07\n 4.25070521e-08 5.93612759e-07 2.89991024e-07 8.15930747e-07\n 4.46492493e-07 2.30917463e-07 2.53998483e-07 2.86214955e-07\n 1.93364866e-07 4.54293983e-07 3.19812316e-07 1.54518767e-07\n 2.40070593e-07 3.16729685e-07 9.18417748e-08 6.07357099e-08\n 1.37605435e-07 1.03823544e-07 1.75090097e-07 6.21909270e-08\n 1.25050861e-07 1.14966894e-07 1.50112729e-08 9.16755064e-09\n 1.36739116e-07 1.01499356e-07 8.21934321e-08 8.64805037e-09\n 1.52624125e-08 5.56706923e-08 4.16447871e-08 7.37490477e-08\n 7.93502555e-08 7.75705830e-08 3.57545014e-08 8.92901635e-08\n 9.79874585e-08 8.55273326e-08 1.26981246e-07 1.09542532e-07\n 1.56375565e-07 1.32053523e-07 1.64238893e-07 1.56822286e-07\n 1.78024512e-07 2.26055730e-07 2.16945066e-07 2.46407021e-07\n 2.74265076e-07 3.04204319e-07 3.31304513e-07 3.64636282e-07\n 3.92808025e-07 4.43933073e-07 4.83082742e-07 5.31844286e-07\n 5.78861594e-07 6.29220139e-07 6.96334066e-07 7.61611786e-07\n 8.40451089e-07 9.15650744e-07 1.00727927e-06 1.10279235e-06\n 1.20955824e-06 1.32696309e-06 1.46013950e-06 1.59813574e-06\n 1.75306113e-06 1.92394746e-06 2.10952724e-06 2.31542478e-06\n 2.53771203e-06 2.78427387e-06 3.05483711e-06 3.34930354e-06\n 3.67533039e-06 4.03025766e-06 4.42024536e-06 4.84882934e-06\n 5.31727321e-06 5.83203543e-06 6.39767976e-06 7.01685520e-06\n 7.69587344e-06 8.44095828e-06 9.25808592e-06 1.01545700e-05\n 1.11375739e-05 1.22162107e-05 1.33989533e-05 1.46960130e-05\n 1.61189187e-05 1.76794568e-05 1.93911005e-05 2.12685380e-05\n 2.33277650e-05 2.55864391e-05 2.80635696e-05 3.07806001e-05\n 3.37606915e-05 3.70293949e-05 4.06144766e-05 4.45466866e-05\n 4.88596174e-05 5.35902582e-05 5.87788486e-05 6.44698029e-05\n 7.07118740e-05 7.75582645e-05 8.50675366e-05 9.33039767e-05\n 1.02337891e-04 1.12246536e-04 1.23114709e-04 1.35035278e-04\n 1.48110125e-04 1.62451119e-04 1.78180874e-04 1.95433874e-04\n 2.14357711e-04 2.35114217e-04 2.57880935e-04 2.82852645e-04\n 3.10242966e-04 3.40286274e-04 3.73239619e-04 4.09385065e-04\n 4.49031939e-04 4.92519706e-04 5.40220661e-04 5.92543322e-04\n 6.49935849e-04 7.12889937e-04 7.81945070e-04 8.57693140e-04\n 9.40783635e-04 1.03192919e-03 1.13191181e-03 1.24158966e-03\n 1.36190451e-03 1.49388992e-03 1.63868029e-03 1.79752078e-03\n 1.97177818e-03 2.16295295e-03 2.37269240e-03 2.60280528e-03\n 2.85527772e-03 3.13229098e-03 3.43624083e-03 3.76975903e-03\n 4.13573700e-03 4.53735198e-03 4.97809584e-03 5.46180707e-03\n 5.99270598e-03 6.57543385e-03 7.21509619e-03 7.91731074e-03\n 8.68826073e-03 9.53475411e-03 1.04642894e-02 1.14851290e-02\n 1.26063811e-02 1.38380908e-02 1.51913426e-02 1.66783748e-02\n 1.83127078e-02 2.01092889e-02 2.20846547e-02 2.42571155e-02\n 2.66469625e-02 2.92767048e-02 3.21713367e-02 3.53586446e-02\n 3.88695562e-02 4.27385426e-02 4.70040795e-02 5.17091808e-02]\nrel_error_cd =  [1.36571011e-01 3.62458291e-02 5.52236436e-02 7.63771037e-02\n 1.86347587e-02 7.46164914e-02 2.02399616e-02 4.18344437e-02\n 5.01283363e-02 1.04846012e-02 1.54904976e-02 2.85034786e-02\n 3.13068489e-02 2.56016221e-02 1.33732353e-02 5.14801012e-03\n 2.78753897e-02 4.23523205e-03 2.31026332e-02 1.78778035e-02\n 1.49106948e-02 2.03842516e-02 4.81829217e-03 1.59265217e-02\n 1.01626536e-02 1.29010522e-02 2.79731251e-03 8.18515370e-03\n 4.53135342e-03 6.08016547e-03 5.02590122e-03 4.37207680e-03\n 4.35849265e-03 3.56563721e-03 5.58266697e-03 3.76239445e-03\n 1.74713876e-04 4.40582836e-03 1.01903772e-03 2.27107615e-03\n 1.34283715e-03 2.96206690e-03 2.34414790e-03 6.10399519e-04\n 1.12628639e-03 4.40816855e-04 4.52591166e-04 7.71925778e-04\n 3.91377223e-05 7.26908577e-04 8.46650912e-04 2.64399651e-04\n 3.75593242e-04 9.61451262e-04 1.93320767e-04 2.82674108e-04\n 1.13415616e-04 4.39571863e-04 4.79072993e-04 2.36020372e-04\n 3.10930992e-04 4.41991062e-04 3.28131993e-05 8.90543490e-05\n 7.37163772e-05 3.00976076e-05 2.53761676e-04 8.59791112e-05\n 2.16415260e-04 6.74698650e-05 1.62825282e-04 6.70619339e-06\n 5.12532452e-05 2.07483192e-05 4.88260035e-05 9.07751151e-05\n 6.82109651e-05 8.69309927e-05 3.55732033e-07 6.16816332e-06\n 8.31289265e-05 2.81673502e-05 3.76937288e-05 5.70121102e-05\n 5.36954901e-05 4.15333008e-05 2.71877183e-05 1.06852883e-05\n 1.86103448e-05 2.00271240e-05 6.04894805e-06 9.49067793e-06\n 2.15198979e-05 1.83816786e-05 1.50752840e-05 3.77879315e-06\n 8.32738301e-06 1.45491357e-05 3.23895630e-08 5.17018403e-06\n 1.49934342e-06 7.08574389e-07 2.42338139e-06 4.98485275e-06\n 9.10253736e-06 7.48415513e-06 2.54773888e-06 2.88641381e-07\n 3.51553078e-06 1.82841202e-07 1.27090089e-06 4.66360341e-06\n 8.71343714e-07 1.67014084e-06 3.22636023e-06 2.69256971e-06\n 2.76727273e-06 7.72882615e-08 2.30146961e-06 1.40776087e-06\n 4.25070521e-08 1.38160438e-06 2.89991024e-07 8.15930747e-07\n 4.46492493e-07 1.13391621e-06 2.53998483e-07 8.48305079e-07\n 8.41011026e-07 4.42046301e-07 5.51180774e-07 1.54518767e-07\n 4.93225953e-07 3.16729685e-07 9.95576463e-08 5.37009188e-08\n 3.69087119e-07 3.34752509e-07 1.59095580e-07 4.76082470e-08\n 1.07323573e-07 1.75958098e-07 2.46549796e-07 2.40923060e-07\n 1.26618358e-07 1.46987502e-07 4.65558957e-08 1.47898661e-07\n 2.91732208e-08 9.36978070e-09 1.26072643e-07 1.07463883e-07\n 9.61016982e-08 9.30585378e-08 3.95985934e-08 7.80316536e-08\n 7.07293366e-08 5.69731482e-08 1.78076439e-08 1.06673471e-08\n 2.44379797e-08 3.72205826e-08 3.94401219e-08 2.40280843e-08\n 2.46339174e-08 1.71439297e-08 1.84684938e-08 2.30438921e-08\n 2.04137548e-09 9.31661442e-10 2.04466960e-08 1.95699192e-08\n 6.99962396e-09 5.50526500e-09 2.18420691e-09 9.23602803e-09\n 1.21665463e-08 5.63049800e-09 1.37187805e-10 7.34879479e-09\n 5.68412039e-09 4.65176189e-09 3.54670023e-10 2.40244162e-09\n 3.23284343e-09 2.58824777e-09 3.04222315e-09 3.08516859e-09\n 2.75716027e-09 2.65710960e-10 2.41535782e-09 2.50477501e-09\n 1.54694757e-09 2.05509557e-09 1.84688258e-09 7.91408026e-10\n 1.04730377e-09 7.27617288e-11 1.48647315e-09 9.62970012e-10\n 4.59068400e-10 6.82411603e-10 4.10749027e-10 7.88235206e-10\n 8.52604178e-10 7.50158235e-10 1.95922369e-10 6.37363786e-10\n 4.44293161e-10 4.60203865e-10 3.90376774e-10 4.48563684e-10\n 3.93951170e-10 1.17028130e-12 3.41872455e-10 2.58906087e-11\n 2.10009218e-10 3.24679838e-11 6.18491734e-11 3.84389421e-11\n 2.00353706e-10 2.86160028e-10 2.85416007e-10 3.02856754e-10\n 4.71397340e-10 4.77741506e-10 6.89738710e-10 7.71236562e-10\n 8.65916611e-10 1.03264716e-09 1.20452506e-09 1.40236910e-09\n 1.68618525e-09 2.13157925e-09 2.51127778e-09 3.04449592e-09\n 3.68919861e-09 4.39261283e-09 5.30320460e-09 6.33377148e-09\n 7.66886921e-09 9.19104321e-09 1.11049225e-08 1.33518873e-08\n 1.60500503e-08 1.92701886e-08 2.31979721e-08 2.79074757e-08\n 3.35929946e-08 4.03953561e-08 4.85940333e-08 5.84600850e-08\n 7.03506192e-08 8.46270136e-08 1.01801808e-07 1.22463011e-07\n 1.47330799e-07 1.77232254e-07 2.13214697e-07 2.56496423e-07\n 3.08567322e-07 3.71213978e-07 4.46571992e-07 5.37223249e-07\n 6.46288205e-07 7.77485825e-07 9.35319116e-07 1.12519033e-06\n 1.35361528e-06 1.62840269e-06 1.95897850e-06 2.35666457e-06\n 2.83507940e-06 3.41061358e-06 4.10298814e-06 4.93591948e-06\n 5.93793749e-06 7.14337508e-06 8.59352136e-06 1.03380572e-05\n 1.24367463e-05 1.49614841e-05 1.79987607e-05 2.16526299e-05\n 2.60482630e-05 3.13362504e-05 3.76977480e-05 4.53506964e-05\n 5.45572812e-05 6.56329197e-05 7.89570690e-05 9.49862333e-05\n 1.14269607e-04 1.37467906e-04 1.65376011e-04 1.98950229e-04\n 2.39341090e-04 2.87932808e-04 3.46390781e-04 4.16718753e-04]\n"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                },
                {
                    "data": {
                        "image/png": 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\n",
                        "text/plain": "\u003cFigure size 720x432 with 1 Axes\u003e"
                    },
                    "metadata": {},
                    "output_type": "display_data"
                }
            ],
            "source": [
                "x_array = np.array([.1,1.0,100])\n",
                "h_array = np.logspace(-13,-1,300)\n",
                "\n",
                "def rel_err_func(computed, real):\n",
                "    return abs(computed-real)/real\n",
                "\n",
                "def cd(f,x,h):\n",
                "    return (f(x+h/2)-f(x-h/2))/h\n",
                "\n",
                "def neg_sin(x):\n",
                "    return -1*np.sin(x)\n",
                "\n",
                "f_array = np.array([np.exp,np.cos])  # the function we will use for derivitives\n",
                "f_der_array = np.array([neg_sin, np.exp]) \n",
                "f_array_str = np.array(['cos(x)', 'exp(x)'])\n",
                "\n",
                "for i in range(len(f_array)):\n",
                "    for x in x_array:\n",
                "        fd_der = fd(f_array[i],x,h_array)\n",
                "\n",
                "        cd_der = cd(f_array[i],x,h_array)\n",
                "\n",
                "        real_der = f_der_array[i](x)\n",
                "\n",
                "        rel_err_fd = rel_err_func(fd_der, real_der)\n",
                "        print(\"rel_error_fd = \", rel_err_fd)\n",
                "\n",
                "        rel_err_cd = rel_err_func(cd_der, real_der)\n",
                "        print(\"rel_error_cd = \", rel_err_cd)\n",
                "\n",
                "        plt.loglog(h_array,rel_err_fd, label= \"Forward Derivitive Error\")\n",
                "        plt.loglog(h_array,rel_err_cd, label= \"Central Derivitive Error\")\n",
                "        #plt.ylim([10**(-12), .1])\n",
                "        plt.xlabel(\"h\")\n",
                "        plt.ylabel(\"$\\mathcal{E}$\")\n",
                "        plt.title(\"The Relative Error $\\mathcal{E}$ vs the Step Size $h$ for \" + str(f_array_str[i]) + \" at x=\" + str(x))\n",
                "        plt.legend()\n",
                "        plt.show()\n",
                "\n",
                "\n",
                ""
            ]
        },
        {
            "cell_type": "code",
            "execution_count": 0,
            "metadata": {},
            "outputs": [],
            "source": [
                ""
            ]
        }
    ]
}