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#include "compute.h"
#include <complex>
#include <random>
#include <thread>
#include <memory>
#include <cstdlib>
#include <cassert>
#include <immintrin.h>
struct Pointgen {
Pointgen(std::mt19937::result_type seed) : randgen{seed} {}
double operator()() {
return dist(randgen);
}
private:
std::mt19937 randgen;
std::uniform_real_distribution<double> dist{-1.5, 1.5};
};
std::ostream& operator<<(std::ostream &os, __m256d x) {
union {
__m256d vec;
double arr[4];
} u;
u.vec = x;
return os << '<' << u.arr[0] << ',' << u.arr[1] << ',' << u.arr[2] << ',' << u.arr[3] << '>';
}
std::ostream& operator<<(std::ostream &os, __m256i x) {
union {
__m256i vec;
int64_t arr[4];
} u;
u.vec = x;
return os << '<' << u.arr[0] << ',' << u.arr[1] << ',' << u.arr[2] << ',' << u.arr[3] << '>';
}
union int64_4vec {
__m256i i;
int64_t a[4];
};
static HistImage accumulate_brot_simple(const Options &options, int64_t numorbits_override, std::mt19937::result_type seed) {
HistImage img{(size_t)options.imgwidth.value, (size_t)options.imgheight.value};
Pointgen gen{seed};
// trace[0] is never set; considered equal to c
std::vector<std::pair<double, double>> trace(options.maxiter.value + 1);
for (int64_t orbiti = 0; orbiti < numorbits_override; orbiti++) {
const double cx = gen(), cy = gen();
// std::cout << "cx=" << cx << " cy=" << cy << std::endl;
int iteri = 0;
{
double a = cx, b = cy;
if (a * a + b * b >= 4) continue;
while (iteri < options.maxiter.value) {
const double newb = 2 * a * b + cy;
a = a * a - b * b + cx;
b = newb;
iteri++;
trace[iteri] = std::make_pair(a, b);
// std::cout << "a=" << a << " b=" << b << std::endl;
if (a * a + b * b >= 4) goto escape;
}
continue; // did not escape, so in set, so ignore
}
escape:
if (options.orbit_burnin.value == 0) trace[0] = std::make_pair(cx, cy);
// std::cout << "iteri=" << iteri << std::endl;
for (int i = options.orbit_burnin.value; i <= iteri; i++) {
const double zx = trace[i].first, zy = trace[i].second;
const int imgx = (zx - options.xmin.value) / options.cplxwidth.value * (options.imgwidth.value - 1);
const int imgy = (zy - options.ymin.value) / options.cplxheight.value * (options.imgheight.value - 1);
// std::cerr << " zx=" << zx << " zy=" << zy << " img=(" << imgx << ',' << imgy << ")" << std::endl;
if (0 <= imgx && imgx < options.imgwidth.value &&
0 <= imgy && imgy < options.imgheight.value) {
img.data[options.imgwidth.value * imgy + imgx]++;
}
}
}
return img;
}
static HistImage accumulate_brot_vectorised(const Options &options, int64_t numorbits_override, std::mt19937::result_type seed) {
HistImage img{(size_t)options.imgwidth.value, (size_t)options.imgheight.value};
Pointgen gen{seed};
using F4 = __m256d;
using I4 = __m256i;
// trace[0] is never set; considered equal to c
std::vector<std::pair<F4, F4>> trace(options.maxiter.value + 1);
for (int64_t orbiti = 0; orbiti < numorbits_override; orbiti += 4) {
const F4 cx = _mm256_set_pd(gen(), gen(), gen(), gen());
const F4 cy = _mm256_set_pd(gen(), gen(), gen(), gen());
// std::cout << "cx=" << cx << " cy=" << cy << std::endl;
I4 escaped_mask = _mm256_setzero_si256();
I4 escaped_at = _mm256_setzero_si256();
int iteri = 0;
{
F4 a = cx, b = cy;
if (_mm256_movemask_pd(a * a + b * b < 4) == 0) continue;
while (iteri < options.maxiter.value) {
const F4 newb = 2 * a * b + cy;
a = a * a - b * b + cx;
b = newb;
iteri++;
trace[iteri] = std::make_pair(a, b);
const I4 remaining = a * a + b * b < 4;
const I4 escaped = ~remaining;
escaped_at |= _mm256_set1_epi64x(iteri) & ~escaped_mask & escaped;
escaped_mask |= escaped;
// std::cout << "a=" << a << " b=" << b << " rem=" << remaining << " esc=" << escaped << " at=" << escaped_at << " mask=" << escaped_mask << std::endl;
if (_mm256_movemask_epi8(remaining) == 0) goto escape;
// a = _mm256_castsi256_pd(_mm256_castpd_si256(a) & remaining);
// b = _mm256_castsi256_pd(_mm256_castpd_si256(b) & remaining);
}
}
if (_mm256_movemask_epi8(escaped_mask) == 0) continue; // if none escaped, nothing to do
escape:
if (options.orbit_burnin.value == 0) trace[0] = std::make_pair(cx, cy);
union int64_4vec escaped_at_un;
_mm256_store_si256(&escaped_at_un.i, escaped_at);
for (int tracei = 0; tracei < 4; tracei++) {
const int limit = escaped_at_un.a[tracei];
// std::cout << "tracei=" << tracei << " limit=" << limit << std::endl;
for (int i = options.orbit_burnin.value; i <= limit; i++) {
const double zx = ((const double*)&trace[i].first)[tracei];
const double zy = ((const double*)&trace[i].second)[tracei];
const int imgx = (zx - options.xmin.value) / options.cplxwidth.value * (options.imgwidth.value - 1);
const int imgy = (zy - options.ymin.value) / options.cplxheight.value * (options.imgheight.value - 1);
// std::cerr << " zx=" << zx << " zy=" << zy << " img=(" << imgx << ',' << imgy << ")" << std::endl;
if (0 <= imgx && imgx < options.imgwidth.value &&
0 <= imgy && imgy < options.imgheight.value) {
img.data[options.imgwidth.value * imgy + imgx]++;
}
}
}
}
return img;
}
static HistImage accumulate_brot(const Options &options, int64_t numorbits_override, std::mt19937::result_type seed) {
if (options.algorithm.value == "simple") return accumulate_brot_simple(options, numorbits_override, seed);
if (options.algorithm.value == "vectorised") return accumulate_brot_vectorised(options, numorbits_override, seed);
std::cerr << "Invalid algorithm '" << options.algorithm.value << "'" << std::endl;
exit(1);
}
HistImage compute_brot(const Options &options) {
std::vector<std::unique_ptr<HistImage>> images(options.num_threads.value);
std::mt19937 randgen(std::random_device{}());
std::vector<std::thread> ths(options.num_threads.value);
for (size_t i = 0; i < (size_t)options.num_threads.value; i++) {
std::mt19937::result_type seed = randgen();
ths[i] = std::thread{[&options, &images, i, seed]() {
images[i] = std::make_unique<HistImage>(
accumulate_brot(options, options.numorbits.value / options.num_threads.value, seed));
}};
}
for (std::thread &th : ths) th.join();
HistImage first = std::move(*images[0]);
images[0].reset();
for (int i = 1; i < options.num_threads.value; i++) {
first.add(*images[i]);
images[i].reset();
}
return first;
}
// vim: set sw=4 ts=4 noet:
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