{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Uniform model\n", "\n", "The uniform model, `pytransit.UniformModel`, implements a transit over a uniform stellar disk 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.UniformModelCL`." ] }, { "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 UniformModel" ] }, { "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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model initialization\n", "\n", "The uniform model doesn't take any special initialization arguments, so the initialization is straightforward. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "tm = UniformModel()" ] }, { "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, t0, p, a, i, e=0, w=0)` evaluates the model for a set of scalar parameters, where `k` is the radius ratio, `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)` 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" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def plot_transits(tm, fmt='k'):\n", " fig, axs = subplots(1, 3, figsize = (13,3), constrained_layout=True, sharey=True)\n", "\n", " flux = tm.evaluate_ps(k, 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])\n", " axs[1].plot(tm.time, flux, fmt)\n", " axs[1].set_title('Parameter vector')\n", "\n", " flux = tm.evaluate_pv(pvp)\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)" ] }, { "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)" ] }, { "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", " \n", "### Example: two light curves with different cadences" ] }, { "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", "nsamples = [1, 10]\n", "exptimes = [0, 0.0167]\n", "\n", "tm.set_data(times, lcids, nsamples=nsamples, exptimes=exptimes)\n", "plot_transits(tm, 'k.-')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## OpenCL\n", "### Usage\n", "\n", "The OpenCL version of the uniform model, `pytransit.UniformModelCL` 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": 12, "metadata": {}, "outputs": [], "source": [ "import pyopencl as cl\n", "from pytransit import UniformModelCL\n", "\n", "devices = cl.get_platforms()[0].get_devices()[2:]\n", "ctx = cl.Context(devices)\n", "queue = cl.CommandQueue(ctx)\n", "\n", "tm_cl = UniformModelCL(cl_ctx=ctx, cl_queue=queue)" ] }, { "cell_type": "code", "execution_count": 13, "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)" ] }, { "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": 14, "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": 15, "metadata": {}, "outputs": [], "source": [ "tm_py = UniformModel()\n", "tm_cl = UniformModelCL(cl_ctx=ctx, cl_queue=queue)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "tm_py.set_data(times_sc2)\n", "tm_cl.set_data(times_sc2)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "21.8 ms ± 1.69 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_py.evaluate_pv(pvp)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.27 ms ± 75.8 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_cl.evaluate_pv(pvp, copy=True)" ] }, { "cell_type": "code", "execution_count": 19, "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": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "76.2 ms ± 19.4 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_py.evaluate_pv(pvp)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.28 ms ± 84.1 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n" ] } ], "source": [ "%%timeit\n", "tm_cl.evaluate_pv(pvp, copy=True)" ] }, { "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 }