diff --git a/docs/examples/kernel/mcdriver.py b/docs/examples/kernel/mcdriver.py index 2a5a8e1..bf0efc7 100644 --- a/docs/examples/kernel/mcdriver.py +++ b/docs/examples/kernel/mcdriver.py @@ -3,37 +3,36 @@ """Run a Monte-Carlo options pricer in parallel.""" from IPython.kernel import client -import numpy as N -from mcpricer import MCOptionPricer +import numpy as np +from mcpricer import price_options -tc = client.TaskClient() -rc = client.MultiEngineClient() +tc = client.TaskClient(profile='default') +mec = client.MultiEngineClient(profile='default') -# Initialize the common code on the engines -rc.run('mcpricer.py') -# Push the variables that won't change -#(stock print, interest rate, days and MC paths) -rc.push(dict(S=100.0, r=0.05, days=260, paths=10000)) +# Initialize the common code on the engines +mec.run('mcpricer.py') -task_string = """\ -op = MCOptionPricer(S,K,sigma,r,days,paths) -op.run() -vp, ap, vc, ac = op.vanilla_put, op.asian_put, op.vanilla_call, op.asian_call -""" +# Define the function that will do the calculation +def my_prices(K, sigma): + S = 100.0 + r = 0.05 + days = 260 + paths = 10000 + return price_options(S, K, sigma, r, days, paths) # Create arrays of strike prices and volatilities -K_vals = N.linspace(90.0,100.0,5) -sigma_vals = N.linspace(0.0, 0.2,5) +nK = 5 +nsigma = 5 +K_vals = np.linspace(90.0, 100.0, nK) +sigma_vals = np.linspace(0.0, 0.2, nsigma) # Submit tasks taskids = [] for K in K_vals: for sigma in sigma_vals: - t = client.StringTask(task_string, - push=dict(sigma=sigma,K=K), - pull=('vp','ap','vc','ac','sigma','K')) + t = client.MapTask(my_prices, args=(K, sigma)) taskids.append(tc.run(t)) print "Submitted tasks: ", taskids @@ -45,27 +44,21 @@ tc.barrier(taskids) results = [tc.get_task_result(tid) for tid in taskids] # Assemble the result -vc = N.empty(K_vals.shape[0]*sigma_vals.shape[0],dtype='float64') -vp = N.empty(K_vals.shape[0]*sigma_vals.shape[0],dtype='float64') -ac = N.empty(K_vals.shape[0]*sigma_vals.shape[0],dtype='float64') -ap = N.empty(K_vals.shape[0]*sigma_vals.shape[0],dtype='float64') -for i, tr in enumerate(results): - ns = tr.ns - vc[i] = ns.vc - vp[i] = ns.vp - ac[i] = ns.ac - ap[i] = ns.ap -vc.shape = (K_vals.shape[0],sigma_vals.shape[0]) -vp.shape = (K_vals.shape[0],sigma_vals.shape[0]) -ac.shape = (K_vals.shape[0],sigma_vals.shape[0]) -ap.shape = (K_vals.shape[0],sigma_vals.shape[0]) +prices = np.empty(nK*nsigma, + dtype=[('vcall',float),('vput',float),('acall',float),('aput',float)] +) +for i, price_tuple in enumerate(results): + prices[i] = price_tuple +prices.shape = (nK, nsigma) def plot_options(K_vals, sigma_vals, prices): - """Make a contour plot of the option prices.""" - import pylab - pylab.contourf(sigma_vals, K_vals, prices) - pylab.colorbar() - pylab.title("Option Price") - pylab.xlabel("Volatility") - pylab.ylabel("Strike Price") + """ + Make a contour plot of the option prices. + """ + from matplotlib import pyplot as plt + plt.contourf(sigma_vals, K_vals, prices) + plt.colorbar() + plt.title("Option Price") + plt.xlabel("Volatility") + plt.ylabel("Strike Price") diff --git a/docs/examples/kernel/mcpricer.py b/docs/examples/kernel/mcpricer.py index 2dac9f1..d3e711b 100644 --- a/docs/examples/kernel/mcpricer.py +++ b/docs/examples/kernel/mcpricer.py @@ -1,43 +1,33 @@ -import numpy as N +import numpy as np from math import * -class MCOptionPricer(object): - def __init__(self, S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=10000): - self.S = S - self.K = K - self.sigma = sigma - self.r = r - self.days = days - self.paths = paths - self.h = 1.0/self.days - self.const1 = exp((self.r-0.5*self.sigma**2)*self.h) - self.const2 = self.sigma*sqrt(self.h) - - def run(self): - stock_price = self.S*N.ones(self.paths, dtype='float64') - stock_price_sum = N.zeros(self.paths, dtype='float64') - for j in range(self.days): - growth_factor = self.const1*N.exp(self.const2*N.random.standard_normal(self.paths)) - stock_price = stock_price*growth_factor - stock_price_sum = stock_price_sum + stock_price - stock_price_avg = stock_price_sum/self.days - zeros = N.zeros(self.paths, dtype='float64') - r_factor = exp(-self.r*self.h*self.days) - self.vanilla_put = r_factor*N.mean(N.maximum(zeros,self.K-stock_price)) - self.asian_put = r_factor*N.mean(N.maximum(zeros,self.K-stock_price_avg)) - self.vanilla_call = r_factor*N.mean(N.maximum(zeros,stock_price-self.K)) - self.asian_call = r_factor*N.mean(N.maximum(zeros,stock_price_avg-self.K)) - -def main(): - op = MCOptionPricer() - op.run() - print "Vanilla Put Price = ", op.vanilla_put - print "Asian Put Price = ", op.asian_put - print "Vanilla Call Price = ", op.vanilla_call - print "Asian Call Price = ", op.asian_call +def price_options(S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=10000): + """ + Price vanilla and asian options using a Monte Carlo method. + """ + h = 1.0/days + const1 = exp((r-0.5*sigma**2)*h) + const2 = sigma*sqrt(h) + stock_price = S*np.ones(paths, dtype='float64') + stock_price_sum = np.zeros(paths, dtype='float64') + for j in range(days): + growth_factor = const1*np.exp(const2*np.random.standard_normal(paths)) + stock_price = stock_price*growth_factor + stock_price_sum = stock_price_sum + stock_price + stock_price_avg = stock_price_sum/days + zeros = np.zeros(paths, dtype='float64') + r_factor = exp(-r*h*days) + vanilla_put = r_factor*np.mean(np.maximum(zeros, K-stock_price)) + asian_put = r_factor*np.mean(np.maximum(zeros, K-stock_price_avg)) + vanilla_call = r_factor*np.mean(np.maximum(zeros, stock_price-K)) + asian_call = r_factor*np.mean(np.maximum(zeros, stock_price_avg-K)) + return (vanilla_call, vanilla_put, asian_call, asian_put) if __name__ == '__main__': - main() - + (vc, vp, ac, ap) = price_options() + print "Vanilla Put Price = ", vp + print "Asian Put Price = ", ap + print "Vanilla Call Price = ", vc + print "Asian Call Price = ", ac diff --git a/docs/source/conf.py b/docs/source/conf.py index bb04b47..b955056 100644 --- a/docs/source/conf.py +++ b/docs/source/conf.py @@ -162,10 +162,13 @@ latex_font_size = '11pt' # Grouping the document tree into LaTeX files. 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Thus, the cluster +directory for a profile named "foo" would be :file:`.ipython\\cluster_foo`. + +To create a new cluster profile (named "mycluster"), type the following +command at the Windows Command Prompt:: + + ipcluster create -p mycluster + +The output of this command is shown in the screenshot below. Notice how +:command:`ipcluster` prints out the location of the newly created cluster +directory. + + +.. image:: ipcluster_create.* + + +Configuring a cluster profile +----------------------------- + +Next, you will need to configure the newly created cluster profile by editing +the following configuration files in the cluster directory: + +* :file:`ipcluster_config.py` +* :file:`ipcontroller_config.py` +* :file:`ipengine_config.py` + +When :command:`ipcluster` is run, these configuration files are used to +determine how the engines and controller will be started. In most cases, +you will only have to set a few of the attributes in these files. + +To configure :command:`ipcluster` to use the Windows HPC job scheduler, you +will need to edit the following attributes in the file +:file:`ipcluster_config.py`:: + + # Set these at the top of the file to tell ipcluster to use the + # Windows HPC job scheduler. + c.Global.controller_launcher = \ + 'IPython.kernel.launcher.WindowsHPCControllerLauncher' + c.Global.engine_launcher = \ + 'IPython.kernel.launcher.WindowsHPCEngineSetLauncher' + + # Set these to the host name of the scheduler (head node) of your cluster. + c.WindowsHPCControllerLauncher.scheduler = 'HEADNODE' + c.WindowsHPCEngineSetLauncher.scheduler = 'HEADNODE' + +There are a number of other configuration attributes that can be set, but +in most cases these will be sufficient to get you started. + +.. warning:: + If any of your configuration attributes involve specifying the location + of shared directories or files, you must make sure that you use UNC paths + like :file:`\\\\host\\share`. It is also important that you specify + these paths using raw Python strings: ``r'\\host\share'``. + +Starting the cluster profile +---------------------------- + +Once a cluster profile has been configured, starting an IPython cluster using +the profile is simple: + + ipcluster start -p mycluster -n 32 + +The ``-n 32`` option tells :command:`ipcluster` how many engines to start. +Stopping the cluster is as simple as typing Control-C. + +Using the HPC Job Manager +------------------------- + +When ``ipcluster start`` is run the first time, :command:`ipcluster` creates +two XML job description files in the cluster directory: + +* :file:`ipcontroller_job.xml` +* :file:`ipengineset_job.xml` + +Once these files have been created, they can be imported into the HPC Job +Manager application. Then, the controller and engines for that profile can be +started using the HPC Job Manager directly, without using :command:`ipcluster`. +However, anytime the cluster profile is re-configured, ``ipcluster start`` +has to be run again to regenerate the XML job description files. The +following screenshot shows what the HPC Job Manager interface looks like +with a running IPython cluster. + + +.. image:: hpc_job_manager.* + +Performing a simple interactive parallel computation +==================================================== + +Once you have started your IPython cluster, you can start to use it. To do +this, start up IPython's interactive shell by typing:: + + ipython + +at the Windows Command Prompt. Then you can create a :class:`MultiEngineClient` +instance for your profile and use the resulting instance to +have the cluster do a simple interactive parallel computation. In the +screenshot that follows, we take a simple Python function:: + + def f(x): return x**10 + +and apply it to each element of an array of integers in +parallel using the :meth:`MultiEngineClient.map` method:: + + mec.map(f, range(15)) + +The :meth:`map` method has the same signature as Python's builtin :func:`map` +function, but runs the calculation in parallel. More involved examples of using +:class:`MultiEngineClient` are provided in the examples that follow. + +.. image:: mec_simple.* + diff --git a/docs/source/parallel/winhpc_index.txt b/docs/source/parallel/winhpc_index.txt new file mode 100644 index 0000000..d52da22 --- /dev/null +++ b/docs/source/parallel/winhpc_index.txt @@ -0,0 +1,14 @@ +======================================== +Using IPython on Windows HPC Server 2008 +======================================== + + +Contents +======== + +.. toctree:: + :maxdepth: 1 + + parallel_winhpc.txt + parallel_demos.txt +