{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quadratic model\n", "\n", "The quadratic model, `pytransit.QuadraticModel`, implements a transit over a stellar disk with the stellar limb darkening described using the quadratic limb darkening model as described by Mandel & Agol (ApJ 580, 2002). The model is parallelised using numba, and the number of threads can be set using the `NUMBA_NUM_THREADS` environment variable. An OpenCL version for GPU computation is implemented by `pytransit.QuadraticModelCL`, and is discussed later in this notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "sys.path.append('..')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "from pytransit import QuadraticModel" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "seed(0)\n", "\n", "times_sc = linspace(0.85, 1.15, 1000) # Short cadence time stamps\n", "times_lc = linspace(0.85, 1.15, 100) # Long cadence time stamps\n", "\n", "k, t0, p, a, i, e, w = 0.1, 1., 2.1, 3.2, 0.5*pi, 0.3, 0.4*pi\n", "pvp = tile([k, t0, p, a, i, e, w], (50,1))\n", "pvp[1:,0] += normal(0.0, 0.005, size=pvp.shape[0]-1)\n", "pvp[1:,1] += normal(0.0, 0.02, size=pvp.shape[0]-1)\n", "\n", "ldc = stack([normal(0.3, 0.05, pvp.shape[0]), normal(0.1, 0.02, pvp.shape[0])], 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model initialization\n", "\n", "The quadratic model doesn't take any special initialization arguments, so the initialization is straightforward. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "tm = QuadraticModel()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data setup\n", "### Homogeneous time series\n", "\n", "The model needs to be set up by calling `set_data()` before it can be used. At its simplest, `set_data` takes the mid-exposure times of the time series to be modelled." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "tm.set_data(times_sc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model use\n", "\n", "**Evaluation**\n", "The transit model can be evaluated using either a set of scalar parameters, a parameter vector (1D ndarray), or a parameter vector array (2D ndarray). The model flux is returned as a 1D ndarray in the first two cases, and a 2D ndarray in the last (one model per parameter vector).\n", "\n", " - `tm.evaluate_ps(k, ldc, t0, p, a, i, e=0, w=0)` evaluates the model for a set of scalar parameters, where `k` is the radius ratio, `ldc` is the limb darkening coefficient vector, `t0` the zero epoch, `p` the orbital period, `a` the semi-major axis divided by the stellar radius, `i` the inclination in radians, `e` the eccentricity, and `w` the argument of periastron. Eccentricity and argument of periastron are optional, and omitting them defaults to a circular orbit. \n", " - `tm.evaluate_pv(pv, ldc)` evaluates the model for a 1D parameter vector, or 2D array of parameter vectors. In the first case, the parameter vector should be array-like with elements `[k, t0, p, a, i, e, w]`. In the second case, the parameter vectors should be stored in a 2d ndarray with shape `(npv, 7)` as \n", "\n", "\n", " [[k1, t01, p1, a1, i1, e1, w1],\n", " [k2, t02, p2, a2, i2, e2, w2],\n", " ...\n", " [kn, t0n, pn, an, in, en, wn]]\n", " \n", "The reason for the different options is that the model implementations may have optimisations that make the model evaluation for a set of parameter vectors much faster than if computing them separately. This is especially the case for the OpenCL models.\n", "\n", "*Note:* PyTransit uses always a 2D parameter vector array under the hood, and the scalar evaluation method just packs the parameters into an array before model evaluation.\n", "\n", "**Limb darkening**\n", "The quadratic limb darkening coefficients are given either as a 1D or 2D array, depending on whether the model is evaluated for a single set of parameters or an array of parameter vectors. In the first case, the coefficients can be given as `[u, v]`, and in the second, as `[[u1, v1], [u2, v2], ... [un, vn]]`. \n", "\n", "In the case of a heterogeneous time series with multiple passbands (more details below), the coefficients are given for a single parameter set as a 1D array with a length $2n_{pb}$ (`[u1, v1, u2, v2, ... un, vn]`, where the index now marks the passband), and for a parameter vector array as a 2D array with a shape `(npv, 2*npb)`, as\n", "\n", " [[u11, v11, u12, v12, ... u1n, v1n], \n", " [u21, v21, u22, v22, ... u2n, v2n], \n", " ...\n", " [un1, vn1, un2, vn2, ... unn, vnn]]\n", " " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def plot_transits(tm, ldc, fmt='k'):\n", " fig, axs = subplots(1, 3, figsize = (13,3), constrained_layout=True, sharey=True)\n", "\n", " flux = tm.evaluate_ps(k, ldc[0], t0, p, a, i, e, w)\n", " axs[0].plot(tm.time, flux, fmt)\n", " axs[0].set_title('Individual parameters')\n", "\n", " flux = tm.evaluate_pv(pvp[0], ldc[0])\n", " axs[1].plot(tm.time, flux, fmt)\n", " axs[1].set_title('Parameter vector')\n", "\n", " flux = tm.evaluate_pv(pvp, ldc)\n", " axs[2].plot(tm.time, flux.T, 'k', alpha=0.2);\n", " axs[2].set_title('Parameter vector array')\n", "\n", " setp(axs[0], ylabel='Normalised flux')\n", " setp(axs, xlabel='Time [days]', xlim=tm.time[[0,-1]])" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_sc)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supersampling\n", "\n", "The transit model can be supersampled by setting the `nsamples` and `exptimes` arguments in `set_data`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm.set_data(times_lc, nsamples=10, exptimes=0.01)\n", "plot_transits(tm, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heterogeneous time series\n", "\n", "PyTransit allows for heterogeneous time series, that is, a single time series can contain several individual light curves (with, e.g., different time cadences and required supersampling rates) observed (possibly) in different passbands.\n", "\n", "If a time series contains several light curves, it also needs the light curve indices for each exposure. These are given through `lcids` argument, which should be an array of integers. If the time series contains light curves observed in different passbands, the passband indices need to be given through `pbids` argument as an integer array, one per light curve. Supersampling can also be defined on per-light curve basis by giving the `nsamples`and `exptimes` as arrays with one value per light curve. \n", "\n", "For example, a set of three light curves, two observed in one passband and the third in another passband\n", "\n", " times_1 (lc = 0, pb = 0, sc) = [1, 2, 3, 4]\n", " times_2 (lc = 1, pb = 0, lc) = [3, 4]\n", " times_3 (lc = 2, pb = 1, sc) = [1, 5, 6]\n", " \n", "Would be set up as\n", "\n", " tm.set_data(time = [1, 2, 3, 4, 3, 4, 1, 5, 6], \n", " lcids = [0, 0, 0, 0, 1, 1, 2, 2, 2], \n", " pbids = [0, 0, 1],\n", " nsamples = [ 1, 10, 1],\n", " exptimes = [0.1, 1.0, 0.1])\n", " \n", "Further, each passband requires two limb darkening coefficients, so the limb darkening coefficient array for a single parameter set should now be\n", "\n", " ldc = [u1, v1, u2, v2]\n", "\n", "where u and v are the passband-specific quadratic limb darkening model coefficients.\n", "\n", "### Example: two light curves with different cadences and passbands" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "times_1 = linspace(0.85, 1.0, 500)\n", "times_2 = linspace(1.0, 1.15, 10)\n", "times = concatenate([times_1, times_2])\n", "lcids = concatenate([full(times_1.size, 0, 'int'), full(times_2.size, 1, 'int')])\n", "pbids = [0, 1]\n", "nsamples = [1, 10]\n", "exptimes = [0, 0.0167]\n", "\n", "ldc2 = tile(ldc, (1,2))\n", "ldc2[:,2:] /= 2\n", "\n", "tm.set_data(times, lcids, pbids, nsamples=nsamples, exptimes=exptimes)\n", "plot_transits(tm, ldc2, 'k.-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## OpenCL\n", "### Usage\n", "\n", "The OpenCL version of the quadratic model, `pytransit.QuadraticModelCL` works identically to the Python version, except that the OpenCL context and queue can be given as arguments in the initialiser, and the model evaluation method can be told to not to copy the model from the GPU memory. If the context and queue are not given, the model creates a default context using `cl.create_some_context()`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import pyopencl as cl\n", "from pytransit import QuadraticModelCL\n", "\n", "devices = cl.get_platforms()[0].get_devices()[2:]\n", "ctx = cl.Context(devices)\n", "queue = cl.CommandQueue(ctx)\n", "\n", "tm_cl = QuadraticModelCL(cl_ctx=ctx, cl_queue=queue)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tm_cl.set_data(times_sc)\n", "plot_transits(tm_cl, ldc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GPU vs. CPU Performance\n", "\n", "The performance difference between the OpenCL and Python versions depends on the CPU, GPU, number of simultaneously evaluated models, amount of supersampling, and whether the model data is copied from the GPU memory. The performance difference grows in the favour of OpenCL model with the number of simultaneous models and amount of supersampling, but copying the data slows the OpenCL implementation down. For best performance, also the log likelihood computations should be done in the GPU." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "times_sc2 = tile(times_sc, 20) # 20000 short cadence datapoints\n", "times_lc2 = tile(times_lc, 50) # 5000 long cadence datapoints" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "tm_py = QuadraticModel()\n", "tm_cl = QuadraticModelCL(cl_ctx=ctx, cl_queue=queue)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Short cadence data without heavy supersampling" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "tm_py.set_data(times_sc2)\n", "tm_cl.set_data(times_sc2)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "25.5 ms ± 1.93 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_py.evaluate_pv(pvp, ldc)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6.53 ms ± 214 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_cl.evaluate_pv(pvp, ldc, copy=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Long cadence data with supersampling" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "tm_py.set_data(times_lc2, nsamples=10, exptimes=0.01)\n", "tm_cl.set_data(times_lc2, nsamples=10, exptimes=0.01)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "56.8 ms ± 3.45 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_py.evaluate_pv(pvp, ldc)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6.62 ms ± 172 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_cl.evaluate_pv(pvp, ldc, copy=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Increasing the number of simultaneously evaluated models" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "pvp2 = tile(pvp, (3,1))\n", "ldc2 = tile(ldc, (3,1))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "179 ms ± 11.8 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], "source": [ "%%timeit\n", "tm_py.evaluate_pv(pvp2, ldc2)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "14.6 ms ± 94.4 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_cl.evaluate_pv(pvp2, ldc2, copy=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "
© Hannu Parviainen 2010-2020
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 1 }