Adds program options, puts parallel wvlt in separate header
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cbe4f661a6
commit
ceb2256b97
6 changed files with 160 additions and 68 deletions
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@ -5,7 +5,7 @@
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template <typename Int>
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bool is_pow_of_two(Int n){
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return (n & (n - 1)) == 0;
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return n && !(n & (n - 1));
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}
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template <typename Int>
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@ -20,6 +20,13 @@ inline unsigned int two_log(unsigned int x){
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return 8*sizeof(unsigned int) - unsigned(__builtin_clz(x-1));
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}
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// calculates 2^x (NOTE: can be improved by exponentiation by squaring)
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inline unsigned int pow_two(unsigned int x){
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unsigned int y = 1;
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while(x--) y *= 2;
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return y;
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}
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// Makes numbers human-readable with one decimal
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// eg 2350000 becomes 2.3M
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template <typename Int>
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@ -54,11 +54,11 @@ namespace jcmp {
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};
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// non-overloaded versions
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double id(double x) { return x; }
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double log(double x) { return std::log(x); }
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double exp(double x) { return std::exp(x); }
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double sqrt(double x) { return std::sqrt(x); }
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double sqr(double x) { return x*x; }
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inline double id(double x) { return x; }
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inline double log(double x) { return std::log(x); }
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inline double exp(double x) { return std::exp(x); }
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inline double sqrt(double x) { return std::sqrt(x); }
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inline double sqr(double x) { return x*x; }
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base get(type t, double max_abs, double min_abs, bool apply = true){
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base b;
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@ -6,6 +6,11 @@
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#include "periodic_iterator.hpp"
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#include "wavelet_constants.hpp"
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/* This header is deprecated. Use wavelet_2.hpp instead. It's still here
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* for checking correctness of implementations, as this one is correct, but
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* very naive (and hence slow).
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*/
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namespace wvlt {
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namespace V1 {
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// Apply the matrix Wn with the DAUB4 coefficients
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@ -1,5 +1,6 @@
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#pragma once
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#include <cassert>
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#include <utilities.hpp>
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#include "wavelet_constants.hpp"
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86
wavelet/wavelet_parallel.hpp
Normal file
86
wavelet/wavelet_parallel.hpp
Normal file
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@ -0,0 +1,86 @@
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#pragma once
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#include <includes.hpp>
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#include <utilities.hpp>
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#include <bsp.hpp>
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#include "wavelet.hpp"
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/* In the following function we assume any in-parameter to be already
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* bsp::pushed. And the functions won't do any bsp::sync at the end. Both
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* conventions make it possible to chains functions with lesser syncs.
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*
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* Distribution is block distribution.
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*/
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namespace wvlt {
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namespace par {
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// Convenience container of some often-used values
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// n = inputisze, p = nproc(), s = pid()
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// b = blocksize, prev/next = previous and next processor index
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struct distribution {
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unsigned int n, p, s, b, prev, next;
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distribution(unsigned int n_, unsigned int p_, unsigned int s_)
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: n(n_), p(p_), s(s_), b(n/p), prev((s-1+p)%p), next((s+1)%p)
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{}
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};
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inline unsigned int communication_size(unsigned int m){
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return pow_two(m+1) - 2;
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}
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inline void step(distribution const & d, double* x, double* other, unsigned int size, unsigned int stride, unsigned int m){
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unsigned int t = d.prev;
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unsigned int Cm = communication_size(m);
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for(unsigned int i = 0; i < Cm; ++i){
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bsp::put(t, &x[stride*i], other, i, 1);
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}
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bsp::sync();
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unsigned int end = pow_two(m);
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for(unsigned int i = 1; i < end; i <<= 1){
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wavelet_mul(x, other[0], other[i], size, stride*i);
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if(i < end/2) wavelet_mul_base(other, 2*end - 2*i, i);
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}
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}
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inline void base(distribution const & d, double* x, double* other, unsigned int size, unsigned int m){
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unsigned int t = two_log(d.b);
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unsigned int steps = (t-1)/m;
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unsigned int stride = 1;
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for(unsigned int i = steps; i; i--){
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step(d, x, other, size, stride, m);
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stride <<= m;
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}
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unsigned int remaining = (t-1) - m*steps;
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if(remaining)
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step(d, x, other, size, stride, remaining);
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}
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// block distributed parallel wavelet, result is also in block distribution (in-place in x)
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inline void wavelet(distribution const & d, double* x, double* next, double* proczero, unsigned int m){
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// First do the local part
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base(d, x, next, d.b, m);
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// Then do a fan in (i.e. 2 elements to proc zero)
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for(unsigned int i = 0; i < 2; ++i){
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bsp::put(0, &x[i * d.b/2], proczero, d.s * 2 + i);
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}
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bsp::sync();
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// proc zero has the privilige/duty to finish the job
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if(d.s == 0) {
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wvlt::wavelet(proczero, 2*d.p, 1);
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// and to send it back to everyone
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for(unsigned int t = 0; t < d.p; ++t){
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for(unsigned int i = 0; i < 2; ++i){
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bsp::put(t, &proczero[t*2 + i], x, i * d.b/2);
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}
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}
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}
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}
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}
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}
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@ -1,29 +1,21 @@
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#include <includes.hpp>
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#include <utilities.hpp>
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#include <boost/program_options.hpp>
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#include <bsp.hpp>
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#include "wavelet.hpp"
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#include "defines.hpp"
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#include "wavelet_parallel.hpp"
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#ifndef NEXP
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// will take about 1.3 GB
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#define NEXP 25
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#endif
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// Number of iterations to improve time measurements
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const unsigned int ITERS = 1;
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const unsigned int P = 2;
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const unsigned int N = 1 << NEXP;
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const unsigned int ITERS = 5;
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// Static :(, will be set in main
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static unsigned int P;
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static unsigned int N;
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// Static vectors for correctness checking
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static std::vector<double> par_result(N);
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static std::vector<double> seq_result(N);
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// Convenience container of some often-used values
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// NOTE: we use block distribution
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// n = inputisze, p = nproc(), s = pid(), b = blocksize
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struct distribution {
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unsigned int n, p, s, b;
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};
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static std::vector<double> par_result;
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static std::vector<double> seq_result;
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// fake data
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static double data(unsigned int global_index){
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@ -31,7 +23,7 @@ static double data(unsigned int global_index){
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}
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// NOTE: does not synchronize
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static void read_and_distribute_data(distribution const & d, double* x){
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static void read_and_distribute_data(wvlt::par::distribution const & d, double* x){
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std::vector<double> r(d.b);
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for(unsigned int t = 0; t < d.p; ++t){
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r.assign(d.b, 0.0);
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@ -42,51 +34,18 @@ static void read_and_distribute_data(distribution const & d, double* x){
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}
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}
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// NOTE: we assume x, next and proczero to be already allocated and bsp::pushed
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// NOTE: no sync at the end
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// block distributed parallel wavelet, result is also in block distribution (in-place in x)
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static void par_wavelet_base(distribution const & d, double* x, double* next, double* proczero){
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for(unsigned int i = 1; i <= d.b/4; i <<= 1){
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// send the two elements over
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auto t = (d.s - 1 + d.p) % d.p;
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bsp::put(t, &x[0], next, 0);
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bsp::put(t, &x[i], next, 1);
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bsp::sync();
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wvlt::wavelet_mul(x, next[0], next[1], d.b, i);
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}
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// fan in (i.e. 2 elements to proc zero)
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bsp::sync();
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// send 2 of your own elements
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for(unsigned int i = 0; i < 2; ++i){
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bsp::put(0, &x[i * d.b/2], proczero, d.s * 2 + i);
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}
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bsp::sync();
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// proc zero has the privilige/duty to finish the job
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if(d.s == 0) {
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wvlt::wavelet(proczero, 2*d.p, 1);
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// and to send it back to everyone
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for(unsigned int t = 0; t < d.p; ++t){
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for(unsigned int i = 0; i < 2; ++i){
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bsp::put(t, &proczero[t*2 + i], x, i * d.b/2);
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}
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}
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}
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}
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static void par_wavelet(){
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bsp::begin(P);
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distribution d{N, bsp::nprocs(), bsp::pid(), N/P};
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wvlt::par::distribution d(N, bsp::nprocs(), bsp::pid());
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unsigned int m = 2;
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unsigned int Cm = wvlt::par::communication_size(m);
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// We allocate and push everything up front, since we need it anyways
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// (so peak memory is the same). This saves us 1 bsp::sync
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// (so peak memory is the same). This saves us 1 bsp::sync()
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// For convenience and consistency we use std::vector
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std::vector<double> x(d.b, 0.0);
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std::vector<double> next(2, 0.0);
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std::vector<double> next(Cm, 0.0);
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std::vector<double> proczero(d.s == 0 ? 2*d.p : 1, 0.0);
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bsp::push_reg(x.data(), x.size());
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@ -100,13 +59,12 @@ static void par_wavelet(){
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if(d.s == 0) read_and_distribute_data(d, x.data());
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bsp::sync();
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// do the parallel wavelet!!!
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double time1 = bsp::time();
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for(unsigned int i = 0; i < ITERS; ++i){
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par_wavelet_base(d, x.data(), next.data(), proczero.data());
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wvlt::par::wavelet(d, x.data(), next.data(), proczero.data(), m);
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bsp::sync();
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}
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double time2 = bsp::time();
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if(d.s==0) printf("parallel version\t%f\n", time2 - time1);
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@ -187,6 +145,42 @@ static void check_inverse(double threshold){
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}
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int main(int argc, char** argv){
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namespace po = boost::program_options;
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// Describe program options
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po::options_description opts;
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opts.add_options()
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("p", po::value<unsigned int>(), "number of processors")
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("n", po::value<unsigned int>(), "number of elements")
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("help", po::value<bool>(), "show this help")
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("check", po::value(&should_check), "enables correctness checks");
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po::variables_map vm;
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// Parse and set options
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try {
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po::store(po::parse_command_line(argc, argv, opts), vm);
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po::notify(vm);
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if(vm.count("help")){
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std::cout << "Parallel wavelet mockup" << std::endl;
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std::cout << opts << std::endl;
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return 0;
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}
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N = vm["n"].as<unsigned int>();
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P = vm["p"].as<unsigned int>();
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if(!is_pow_of_two(N)) throw po::error("n is not a power of two");
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if(!is_pow_of_two(P)) throw po::error("p is not a power of two");
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} catch(std::exception& e){
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std::cout << colors::red("ERROR: ") << e.what() << std::endl;
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std::cout << opts << std::endl;
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return 1;
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}
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// Initialise stuff
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par_result.assign(N, 0.0);
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seq_result.assign(N, 0.0);
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bsp::init(par_wavelet, argc, argv);
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// Run both versions (will print timings)
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par_wavelet();
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// Checking equality of algorithms
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bool should_check = false;
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if(should_check){
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if(vm.count("check")){
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double threshold = 1.0e-8;
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check_equality(threshold);
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check_inverse(threshold);
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