path: root/src/run.cpp

/*******************************************************************************
 * Copyright (c) 2006 International Business Machines Corporation.             *
 * All rights reserved. This program and the accompanying materials            *
 * are made available under the terms of the Common Public License v1.0        *
 * which accompanies this distribution, and is available at                    *
 * http://www.opensource.org/licenses/cpl1.0.php                               *
 *                                                                             *
 * Contributors:                                                               *
 *    Douglas M. Pase - initial API and implementation                         *
 *******************************************************************************/

//
// Configuration
//

// Implementation header
#include "run.h"

// System includes
#include <cstdio>
#include <cstdlib>
#include <unistd.h>
#include <cstddef>
#include <vector>
#if defined(NUMA)
#include <numa.h>
#endif

// Local includes
#include <AsmJit/AsmJit.h>
#include "timer.h"


//
// Implementation
//

static double max(double v1, double v2);
static double min(double v1, double v2);
typedef void (*benchmark)(const Chain**);
typedef benchmark (*generator)(int64 chains_per_thread,
		int64 bytes_per_line, int64 bytes_per_chain,
		int64 stride, int64 loop_length, int32 prefetch_hint);
static benchmark chase_pointers(int64 chains_per_thread,
		int64 bytes_per_line, int64 bytes_per_chain,
		int64 stride, int64 loop_length, int32 prefetch_hint);
static benchmark follow_streams(int64 chains_per_thread,
		int64 bytes_per_line, int64 bytes_per_chain,
		int64 stride, int64 loop_length, int32 prefetch_hint);

Lock Run::global_mutex;
int64 Run::_ops_per_chain = 0;
double Run::_seconds = 1E9;

Run::Run() :
		exp(NULL), bp(NULL) {
}

Run::~Run() {
}

void Run::set(Experiment &e, SpinBarrier* sbp) {
	this->exp = &e;
	this->bp = sbp;
}

int Run::run() {
	// first allocate all memory for the chains,
	// making sure it is allocated within the
	// intended numa domains
	Chain** chain_memory = new Chain*[this->exp->chains_per_thread];
	Chain** root = new Chain*[this->exp->chains_per_thread];

#if defined(NUMA)
	// establish the node id where this thread
	// will run. threads are mapped to nodes
	// by the set-up code for Experiment.
	int run_node_id = this->exp->thread_domain[this->thread_id()];
	numa_run_on_node(run_node_id);

	// establish the node id where this thread's
	// memory will be allocated.
	for (int i=0; i < this->exp->chains_per_thread; i++) {
		int alloc_node_id = this->exp->chain_domain[this->thread_id()][i];
		nodemask_t alloc_mask;
		nodemask_zero(&alloc_mask);
		nodemask_set(&alloc_mask, alloc_node_id);
		numa_set_membind(&alloc_mask);

		chain_memory[i] = new Chain[ this->exp->links_per_chain ];
	}
#else
	for (int i = 0; i < this->exp->chains_per_thread; i++) {
		chain_memory[i] = new Chain[this->exp->links_per_chain];
	}
#endif

	// initialize the chains and
	// select the function that
	// will generate the tests
	generator gen;
	for (int i = 0; i < this->exp->chains_per_thread; i++) {
		if (this->exp->access_pattern == Experiment::RANDOM) {
			root[i] = random_mem_init(chain_memory[i]);
			gen = chase_pointers;
		} else if (this->exp->access_pattern == Experiment::STRIDED) {
			if (0 < this->exp->stride) {
				root[i] = forward_mem_init(chain_memory[i]);
			} else {
				root[i] = reverse_mem_init(chain_memory[i]);
			}
			gen = chase_pointers;
		} else if (this->exp->access_pattern == Experiment::STREAM) {
			root[i] = stream_mem_init(chain_memory[i]);
			gen = follow_streams;
		}
	}

	// compile benchmark
	benchmark bench = gen(this->exp->chains_per_thread,
			this->exp->bytes_per_line, this->exp->bytes_per_chain,
			this->exp->stride, this->exp->loop_length,
			this->exp->prefetch_hint);

	// calculate the number of iterations
	if (this->exp->iterations <= 0) {
		volatile static double istart = 0;
		volatile static double istop = 0;
		volatile static double elapsed = 0;
		volatile static int64 iters = 1;
		volatile double bound = max(0.2, 10 * Timer::resolution());
		for (iters = 1; elapsed <= bound; iters = iters << 1) {
			// barrier
			this->bp->barrier();

			// start timer
			if (this->thread_id() == 0) {
				istart = Timer::seconds();
			}
			this->bp->barrier();

			// chase pointers
			for (int i = 0; i < iters; i++)
				bench((const Chain**) root);

			// barrier
			this->bp->barrier();

			// stop timer
			if (this->thread_id() == 0) {
				istop = Timer::seconds();
				elapsed = istop - istart;
			}
			this->bp->barrier();
		}

		// calculate the number of iterations
		if (this->thread_id() == 0) {
			if (0 < this->exp->seconds) {
				this->exp->iterations = max(1,
						0.9999 + 0.5 * this->exp->seconds * iters / elapsed);
			} else {
				this->exp->iterations = max(1, 0.9999 + iters / elapsed);
			}
		}
		this->bp->barrier();
	}

	// run the experiments
	for (int e = 0; e < this->exp->experiments; e++) {
		// barrier
		this->bp->barrier();

		// start timer
		double start = 0;
		if (this->thread_id() == 0)
			start = Timer::seconds();
		this->bp->barrier();

		// chase pointers
		for (int i = 0; i < this->exp->iterations; i++)
			bench((const Chain**) root);

		// barrier
		this->bp->barrier();

		// stop timer
		double stop = 0;
		if (this->thread_id() == 0)
			stop = Timer::seconds();
		this->bp->barrier();

		if (0 <= e) {
			if (this->thread_id() == 0) {
				double delta = stop - start;
				if (0 < delta) {
					Run::_seconds = min(Run::_seconds, delta);
				}
			}
		}
	}

	this->bp->barrier();

	// clean the memory
	for (int i = 0; i < this->exp->chains_per_thread; i++) {
		if (chain_memory[i] != NULL
			) delete[] chain_memory[i];
	}
	if (chain_memory != NULL
		) delete[] chain_memory;

	return 0;
}

int dummy = 0;
void Run::mem_check(Chain *m) {
	if (m == NULL
		) dummy += 1;
}

static double max(double v1, double v2) {
	if (v1 < v2)
		return v2;
	return v1;
}

static double min(double v1, double v2) {
	if (v2 < v1)
		return v2;
	return v1;
}

// exclude 2 and Mersenne primes, i.e.,
// primes of the form 2**n - 1, e.g.,
// 3, 7, 31, 127
static const int prime_table[] = { 5, 11, 13, 17, 19, 23, 37, 41, 43, 47, 53,
		61, 71, 73, 79, 83, 89, 97, 101, 103, 109, 113, 131, 137, 139, 149, 151,
		157, 163, };
static const int prime_table_size = sizeof prime_table / sizeof prime_table[0];

Chain*
Run::random_mem_init(Chain *mem) {
	// initialize pointers --
	// choose a page at random, then use
	// one pointer from each cache line
	// within the page.  all pages and
	// cache lines are chosen at random.
	Chain* root = 0;
	Chain* prev = 0;
	int link_within_line = 0;
	int64 local_ops_per_chain = 0;

	// we must set a lock because random()
	// is not thread safe
	Run::global_mutex.lock();
	setstate(this->exp->random_state[this->thread_id()]);
	int page_factor = prime_table[random() % prime_table_size];
	int page_offset = random() % this->exp->pages_per_chain;
	Run::global_mutex.unlock();

	// loop through the pages
	for (int i = 0; i < this->exp->pages_per_chain; i++) {
		int page = (page_factor * i + page_offset) % this->exp->pages_per_chain;
		Run::global_mutex.lock();
		setstate(this->exp->random_state[this->thread_id()]);
		int line_factor = prime_table[random() % prime_table_size];
		int line_offset = random() % this->exp->lines_per_page;
		Run::global_mutex.unlock();

		// loop through the lines within a page
		for (int j = 0; j < this->exp->lines_per_page; j++) {
			int line_within_page = (line_factor * j + line_offset)
					% this->exp->lines_per_page;
			int link = page * this->exp->links_per_page
					+ line_within_page * this->exp->links_per_line
					+ link_within_line;

			if (root == 0) {
//		printf("root       = %d(%d)[0x%x].\n", page, line_within_page, mem+link);
				prev = root = mem + link;
				local_ops_per_chain += 1;
			} else {
//		printf("0x%x = %d(%d)[0x%x].\n", prev, page, line_within_page, mem+link);
				prev->next = mem + link;
				prev = prev->next;
				local_ops_per_chain += 1;
			}
		}
	}

	prev->next = root;

	Run::global_mutex.lock();
	Run::_ops_per_chain = local_ops_per_chain;
	Run::global_mutex.unlock();

	return root;
}

Chain*
Run::forward_mem_init(Chain *mem) {
	Chain* root = 0;
	Chain* prev = 0;
	int link_within_line = 0;
	int64 local_ops_per_chain = 0;

	for (int i = 0; i < this->exp->lines_per_chain; i += this->exp->stride) {
		int link = i * this->exp->links_per_line + link_within_line;
		if (root == NULL) {
//	    printf("root       = %d(%d)[0x%x].\n", page, line_within_page, mem+link);
			prev = root = mem + link;
			local_ops_per_chain += 1;
		} else {
//	    printf("0x%x = %d(%d)[0x%x].\n", prev, page, line_within_page, mem+link);
			prev->next = mem + link;
			prev = prev->next;
			local_ops_per_chain += 1;
		}
	}

	prev->next = root;

	Run::global_mutex.lock();
	Run::_ops_per_chain = local_ops_per_chain;
	Run::global_mutex.unlock();

	return root;
}

Chain*
Run::reverse_mem_init(Chain *mem) {
	Chain* root = 0;
	Chain* prev = 0;
	int link_within_line = 0;
	int64 local_ops_per_chain = 0;

	int stride = -this->exp->stride;
	int last;
	for (int i = 0; i < this->exp->lines_per_chain; i += stride) {
		last = i;
	}

	for (int i = last; 0 <= i; i -= stride) {
		int link = i * this->exp->links_per_line + link_within_line;
		if (root == 0) {
//	    printf("root       = %d(%d)[0x%x].\n", page, line_within_page, mem+link);
			prev = root = mem + link;
			local_ops_per_chain += 1;
		} else {
//	    printf("0x%x = %d(%d)[0x%x].\n", prev, page, line_within_page, mem+link);
			prev->next = mem + link;
			prev = prev->next;
			local_ops_per_chain += 1;
		}
	}

	prev->next = root;

	Run::global_mutex.lock();
	Run::_ops_per_chain = local_ops_per_chain;
	Run::global_mutex.unlock();

	return root;
}

static benchmark chase_pointers(int64 chains_per_thread, // memory loading per thread
		int64 bytes_per_line, // ignored
		int64 bytes_per_chain, // ignored
		int64 stride, // ignored
		int64 loop_length, // length of the inner loop
		int32 prefetch_hint // use of prefetching
		) {
	// Create Compiler.
	AsmJit::Compiler c;

  	// Tell compiler the function prototype we want. It allocates variables representing
	// function arguments that can be accessed through Compiler or Function instance.
	c.newFunction(AsmJit::CALL_CONV_DEFAULT, AsmJit::FunctionBuilder1<AsmJit::Void, const Chain**>());

	// Try to generate function without prolog/epilog code:
	c.getFunction()->setHint(AsmJit::FUNCTION_HINT_NAKED, true);

	// Create labels.
	AsmJit::Label L_Loop = c.newLabel();

	// Function arguments.
	AsmJit::GPVar chain(c.argGP(0));

	// Save the head
	std::vector<AsmJit::GPVar> heads(chains_per_thread);
	for (int i = 0; i < chains_per_thread; i++) {
		AsmJit::GPVar head = c.newGP();
		c.mov(head, ptr(chain));
		heads[i] = head;
	}

	// Current position
	std::vector<AsmJit::GPVar> positions(chains_per_thread);
	for (int i = 0; i < chains_per_thread; i++) {
		AsmJit::GPVar position = c.newGP();
		c.mov(position, heads[0]);
		positions[i] = position;
	}

	// Loop.
	c.bind(L_Loop);

	// Process all links
	for (int i = 0; i < chains_per_thread; i++) {
		// Chase pointer
		c.mov(positions[i], ptr(positions[i], offsetof(Chain, next)));

		// Prefetch next
		switch (prefetch_hint)
		{
		case Experiment::T0:
			c.prefetch(ptr(positions[i]), AsmJit::PREFETCH_T0);
			break;
		case Experiment::T1:
			c.prefetch(ptr(positions[i]), AsmJit::PREFETCH_T1);
			break;
		case Experiment::T2:
			c.prefetch(ptr(positions[i]), AsmJit::PREFETCH_T2);
			break;
		case Experiment::NTA:
			c.prefetch(ptr(positions[i]), AsmJit::PREFETCH_NTA);
			break;
		case Experiment::NONE:
		default:
			break;

		}
	}

	// Wait
	for (int i = 0; i < loop_length; i++)
		c.nop();

	// Test if end reached
	c.cmp(heads[0], positions[0]);
	c.jne(L_Loop);

	// Finish.
	c.endFunction();

	// Make JIT function.
	benchmark fn = AsmJit::function_cast<benchmark>(c.make());

	// Ensure that everything is ok.
	if (!fn) {
		printf("Error making jit function (%u).\n", c.getError());
		return 0;
	}

	return fn;
}

// NOT WRITTEN YET -- DMP
// JUST A PLACE HOLDER!
Chain* Run::stream_mem_init(Chain *mem) {
// fprintf(stderr, "made it into stream_mem_init.\n");
// fprintf(stderr, "chains_per_thread = %ld\n", this->exp->chains_per_thread);
// fprintf(stderr, "iterations        = %ld\n", this->exp->iterations);
// fprintf(stderr, "bytes_per_chain   = %ld\n", this->exp->bytes_per_chain);
// fprintf(stderr, "stride            = %ld\n", this->exp->stride);
	int64 local_ops_per_chain = 0;
	double* tmp = (double *) mem;
	int64 refs_per_line = this->exp->bytes_per_line / sizeof(double);
	int64 refs_per_chain = this->exp->bytes_per_chain / sizeof(double);
// fprintf(stderr, "refs_per_chain    = %ld\n", refs_per_chain);

	for (int64 i = 0; i < refs_per_chain;
			i += this->exp->stride * refs_per_line) {
		tmp[i] = 0;
		local_ops_per_chain += 1;
	}

	Run::global_mutex.lock();
	Run::_ops_per_chain = local_ops_per_chain;
	Run::global_mutex.unlock();

// fprintf(stderr, "made it out of stream_mem_init.\n");
	return mem;
}

static int64 summ_ck = 0;
void sum_chk(double t) {
	if (t != 0)
		summ_ck += 1;
}

// NOT WRITTEN YET -- DMP
// JUST A PLACE HOLDER!
static benchmark follow_streams(int64 chains_per_thread, // memory loading per thread
		int64 bytes_per_line, // ignored
		int64 bytes_per_chain, // ignored
		int64 stride, // ignored
		int64 loop_length, // ignored
		int32 prefetch_hint // ignored
		) {
	return 0;
	/*
	int64 refs_per_line = bytes_per_line / sizeof(double);
	int64 refs_per_chain = bytes_per_chain / sizeof(double);

	// chase pointers
	switch (chains_per_thread) {
	default:
	case 1:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j];
			}
			sum_chk(t);
		}
		break;
	case 2:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j];
			}
			sum_chk(t);
		}
		break;
	case 3:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j];
			}
			sum_chk(t);
		}
		break;
	case 4:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j];
			}
			sum_chk(t);
		}
		break;
	case 5:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j];
			}
			sum_chk(t);
		}
		break;
	case 6:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j];
			}
			sum_chk(t);
		}
		break;
	case 7:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j];
			}
			sum_chk(t);
		}
		break;
	case 8:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j];
			}
			sum_chk(t);
		}
		break;
	case 9:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j];
			}
			sum_chk(t);
		}
		break;
	case 10:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j];
			}
			sum_chk(t);
		}
		break;
	case 11:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j];
			}
			sum_chk(t);
		}
		break;
	case 12:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			double* a11 = (double *) root[11];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j] + a11[j];
			}
			sum_chk(t);
		}
		break;
	case 13:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			double* a11 = (double *) root[11];
			double* a12 = (double *) root[12];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j] + a11[j] + a12[j];
			}
			sum_chk(t);
		}
		break;
	case 14:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			double* a11 = (double *) root[11];
			double* a12 = (double *) root[12];
			double* a13 = (double *) root[13];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j] + a11[j] + a12[j]
						+ a13[j];
			}
			sum_chk(t);
		}
		break;
	case 15:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			double* a11 = (double *) root[11];
			double* a12 = (double *) root[12];
			double* a13 = (double *) root[13];
			double* a14 = (double *) root[14];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j] + a11[j] + a12[j]
						+ a13[j] + a14[j];
			}
			sum_chk(t);
		}
		break;
	case 16:
		for (int64 i = 0; i < iterations; i++) {
			double t = 0;
			double* a0 = (double *) root[0];
			double* a1 = (double *) root[1];
			double* a2 = (double *) root[2];
			double* a3 = (double *) root[3];
			double* a4 = (double *) root[4];
			double* a5 = (double *) root[5];
			double* a6 = (double *) root[6];
			double* a7 = (double *) root[7];
			double* a8 = (double *) root[8];
			double* a9 = (double *) root[9];
			double* a10 = (double *) root[10];
			double* a11 = (double *) root[11];
			double* a12 = (double *) root[12];
			double* a13 = (double *) root[13];
			double* a14 = (double *) root[14];
			double* a15 = (double *) root[15];
			for (int64 j = 0; j < refs_per_chain; j += stride * refs_per_line) {
				t += a0[j] + a1[j] + a2[j] + a3[j] + a4[j] + a5[j] + a6[j]
						+ a7[j] + a8[j] + a9[j] + a10[j] + a11[j] + a12[j]
						+ a13[j] + a14[j] + a15[j];
			}
			sum_chk(t);
		}
		break;
	}
	*/
}