Difference between revisions of "Guide:TAUChapel"
Line 24: | Line 24: | ||
Notice that the '''forall''' here will compute each iteration in parallel, hence the need to define variable '''c''' as a '''sync''' variable. Performance here is limited by the need to synchronize access to '''c'''. Take a look of this profile: | Notice that the '''forall''' here will compute each iteration in parallel, hence the need to define variable '''c''' as a '''sync''' variable. Performance here is limited by the need to synchronize access to '''c'''. Take a look of this profile: | ||
+ | [[Image:pi_with_tasks.png]] | ||
− | + | 70% percent of the time is spent in synchronization. Let's see if we can do better. | |
=== Procedure promotion === | === Procedure promotion === | ||
Line 59: | Line 60: | ||
This also improves performance: | This also improves performance: | ||
+ | |||
+ | [[Image:pi_with_data.png]] | ||
=== Multiple Locales === | === Multiple Locales === |
Revision as of 00:37, 3 October 2013
Contents
Chapel
MonteCarlo example
To test out some Chapel's language features let program a MonteCarlo simulation to calculate PI. We can calculate PI by assess how many points with coordinates x,y fit in the unit circle, ie x^2+y^2<=1.
Basic
Here is the basic routine that computes PI:
proc compute_pi(p_x: [] real(64), p_y: [] real(64)) : real { var c : sync int; c = 0; forall i in 1..n { if (x ** 2 + y ** 2 <= 1) then c += 1; } return c * 4.0 / n; }
Notice that the forall here will compute each iteration in parallel, hence the need to define variable c as a sync variable. Performance here is limited by the need to synchronize access to c. Take a look of this profile:
70% percent of the time is spent in synchronization. Let's see if we can do better.
Procedure promotion
Only feature of Chapel is procedure promotion where calling a procedure that takes scalar arguments with an array, the procedure is called for each element of the array in parallel:
proc compute_pi(p_x: [] real(64), p_y: [] real(64)) : real { var c : sync int; forall i in in_circle(p_x, p_y) { c += i; } return c * 4.0 / n; } proc in_circle(x: real(64), y: real(64)): bool { return (x ** 2 + y ** 2) <= 1; }
Reduction
Furthermore with reorganization will allow us to take advantage of Chapel's built in reduction:
proc compute_pi(p_x: [] real(64), p_y: [] real(64)) : real { var c : int; c= +reduce in_circle(p_x, p_y); return c * 4.0 / n; }
This also improves performance:
Multiple Locales
Let's look at how the array of x and y values are allocated:
var p_x: [1..n] real(64); var p_y: [1..n] real(64);
However Chapel provides a way to distribute these array across multiple locales:
const space = {1..n}; var Dom: domain(1) dmapped Block(boundingBox=space) = space; var p_x: [Dom] real(64); var p_y: [Dom] real(64);
This Block mapping will allocate the elements block-wise among the locales. Furthermore the reduction used earlier will continue to work.