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// Copyright 2015 The Emscripten Authors. All rights reserved.
// Emscripten is available under two separate licenses, the MIT license and the
// University of Illinois/NCSA Open Source License. Both these licenses can be
// found in the LICENSE file.
#include <stdio.h>
#include <math.h>
#include <string.h>
#include <SDL/SDL.h>
#include <pthread.h>
#include <assert.h>
#include <unistd.h>
#ifdef __EMSCRIPTEN__
#include <emscripten.h>
#include <emscripten/html5.h>
#ifndef SINGLETHREADED
#include <emscripten/threading.h>
#endif
#endif
#ifdef __SSE__
#include <xmmintrin.h>
#endif
int ENVIRONMENT_IS_WEB = 0;
// h: 0,360
// s: 0,1
// v: 0,1
void HSVtoRGB(float *r, float *g, float *b, float h, float s, float v)
{
int i;
float f, p, q, t;
if (s == 0)
{
// achromatic (grey)
*r = *g = *b = v;
return;
}
h /= 60; // sector 0 to 5
i = floor(h);
f = h - i; // factorial part of h
p = v * (1 - s);
q = v * (1 - s * f);
t = v * (1 - s * (1 - f));
switch(i)
{
case 0:
*r = v;
*g = t;
*b = p;
break;
case 1:
*r = q;
*g = v;
*b = p;
break;
case 2:
*r = p;
*g = v;
*b = t;
break;
case 3:
*r = p;
*g = q;
*b = v;
break;
case 4:
*r = t;
*g = p;
*b = v;
break;
default: // case 5:
*r = v;
*g = p;
*b = q;
break;
}
}
int smallestIterOut = 0x7FFFFFFF;
uint32_t ColorMap(int iter)
{
// int si = smallestIterOut;
// if (iter < si)
// emscripten_atomic_cas_u32(&smallestIterOut, si, iter);
float r,g,b;
float h=(float)iter;
h = log(h)*100.f;
if (h < 0.f) h = 0.f;
//h = fmod(h, 360.f); // fmod gives weird graphical artifacts?
if (h >= 360.f) h -= ((int)(h / 360.f)) * 360.f;
float s = 0.5f;
float v = 0.5f;
HSVtoRGB(&r, &g, &b, h, s, v);
int R = r*255.f;
int G = g*255.f;
int B = b*255.f;
return 0xFF000000 | (B) | (G << 8) | (R << 16);
/*
unsigned int i = (iter)*10;
// unsigned int i = (iter-si)*10;
if (i > 255) i = 255;
i = 255 - i;
if (i < 30) i = 30;
return 0xFF000000 | (i) | (i << 8) | (i << 16);
*/
}
unsigned long long ComputeMandelbrot(float *srcReal, float *srcImag, uint32_t *dst, int strideSrc, int strideDst, int x, int y, int yIncr, int w, int h, float left, float top, float incrX, float incrY, unsigned int numItersBefore, unsigned int numIters)
{
for(int Y = y; Y < h; Y += yIncr)
{
float *sr = (float*)((uintptr_t)srcReal + strideSrc * Y) + x;
float *si = (float*)((uintptr_t)srcImag + strideSrc * Y) + x;
uint32_t *d = (uint32_t*)((uintptr_t)dst + strideDst * Y) + x;
float imag = top + Y * incrY;
for(int X = 0; X < w; ++X)
{
float real = left + (x + X) * incrX;
float v_real = sr[X];
if (v_real != INFINITY)
{
float v_imag = si[X];
for(unsigned int i = 0; i < numIters; ++i)
{
// (x+yi)^2 = x^2 - y^2 + 2xyi
// ||x_+yi||^2 = x^2+y^2
float new_real = v_real*v_real - v_imag*v_imag + real;
v_imag = 2.f * v_real * v_imag + imag;
v_real = new_real;
/*
new_real = v_real*v_real - v_imag*v_imag + real;
v_imag = 2.f * v_real * v_imag + imag;
v_real = new_real;
*/
if (v_real*v_real + v_imag*v_imag > 4.f)
{
d[X] = ColorMap(numItersBefore + i);
v_real = INFINITY;
break;
}
}
sr[X] = v_real;
si[X] = v_imag;
}
}
}
return (unsigned long long)((h-y)/yIncr)*w*numIters;
}
#ifdef __SSE__
// Not strictly correct anyzero_ps, but faster, and depends on that color alpha channel is always either 0xFF or 0.
int anyzero_ps(__m128 m)
{
__m128 y = _mm_shuffle_ps(m, m, _MM_SHUFFLE(2,3,0,1));
m = _mm_and_ps(m, y);
__m128 z = _mm_movehl_ps(m, m);
m = _mm_and_ps(m, z);
return _mm_ucomige_ss(m, m);
}
int any_ps(__m128 m)
{
__m128 y = _mm_shuffle_ps(m, m, _MM_SHUFFLE(2,3,0,1));
m = _mm_or_ps(m, y);
__m128 z = _mm_movehl_ps(m, m);
m = _mm_or_ps(m, z);
return !_mm_ucomige_ss(m, m);
}
int xnan_ss(__m128 m) { return !_mm_ucomige_ss(m, m); }
int ynan_ss(__m128 m) { return xnan_ss(_mm_shuffle_ps(m, m, _MM_SHUFFLE(1,1,1,1))); }
int znan_ss(__m128 m) { return xnan_ss(_mm_movehl_ps(m, m)); }
int wnan_ss(__m128 m) { return xnan_ss(_mm_shuffle_ps(m, m, _MM_SHUFFLE(3,3,3,3))); }
unsigned long long ComputeMandelbrot_SSE(float *srcReal, float *srcImag, uint32_t *dst, int strideSrc, int strideDst, int x, int y, int yIncr, int w, int h, float left, float top, float incrX, float incrY, unsigned int numItersBefore, unsigned int numIters)
{
const __m128 four = _mm_set1_ps(4.f);
for(int Y = y; Y < h; Y += yIncr)
{
float *sr = (float*)((uintptr_t)srcReal + strideSrc * Y) + x;
float *si = (float*)((uintptr_t)srcImag + strideSrc * Y) + x;
uint32_t *d = (uint32_t*)((uintptr_t)dst + strideDst * Y) + x;
float imag = top + Y * incrY;
__m128 Imag = _mm_set1_ps(imag);
for(int X = 0; X < w; X += 4)
{
float real = left + (x + X) * incrX;
__m128 Real = _mm_set_ps(real + 3*incrX, real + 2*incrX, real + incrX, real);
__m128 v_real = _mm_loadu_ps(sr+X);
// float v_real = sr[X];
// if (v_real != INFINITY)
{
__m128 v_imag = _mm_loadu_ps(si+X);
// float v_imag = si[X];
__m128 oldColor = _mm_loadu_ps((float*)d+X);
if (anyzero_ps(oldColor))
//if (d[X] == 0 || d[X+1] == 0 || d[X+2] == 0 || d[X+3] == 0)
{
__m128 oldIterating = _mm_cmpeq_ps(oldColor, _mm_setzero_ps());
for(unsigned int i = 0; i < numIters; ++i)
{
// (x+yi)^2 = x^2 - y^2 + 2xyi
// ||x_+yi||^2 = x^2+y^2
//float new_real = v_real*v_real - v_imag*v_imag + real;
__m128 new_real = _mm_add_ps(_mm_sub_ps(_mm_mul_ps(v_real, v_real), _mm_mul_ps(v_imag, v_imag)), Real);
//v_imag = 2.f * v_real * v_imag + imag;
__m128 v_ri = _mm_mul_ps(v_real, v_imag);
v_imag = _mm_add_ps(_mm_add_ps(v_ri, v_ri), Imag);
v_real = new_real;
/*
new_real = v_real*v_real - v_imag*v_imag + real;
v_imag = 2.f * v_real * v_imag + imag;
v_real = new_real;
*/
__m128 len = _mm_add_ps(_mm_mul_ps(v_real, v_real), _mm_mul_ps(v_imag, v_imag));
__m128 diverged = _mm_cmpgt_ps(len, four);
__m128 divergedNow = _mm_and_ps(diverged, oldIterating);
oldIterating = _mm_andnot_ps(divergedNow, oldIterating);
//__m128 diverged = _mm_cmpge_ps(len, _mm_set1_ps(0));
//__m128 old = _mm_loadu_ps((float*)d+X);
if (any_ps(divergedNow))
{
uint32_t color = ColorMap(numItersBefore + i);
if (xnan_ss(divergedNow)) d[X] = color;
if (ynan_ss(divergedNow)) d[X+1] = color;
if (znan_ss(divergedNow)) d[X+2] = color;
if (wnan_ss(divergedNow)) d[X+3] = color;
// _mm_storeu_ps((float*)d+X, _mm_or_ps(old, diverged));
}
/*
if (v_real*v_real + v_imag*v_imag > 4.f)
{
d[X] = ColorMap(numItersBefore + i);
v_real = INFINITY;
break;
}
*/
}
//sr[X] = v_real;
//si[X] = v_imag;
_mm_storeu_ps(sr+X, v_real);
_mm_storeu_ps(si+X, v_imag);
}
}
// real += incrX*4;
// Real = _mm_set_ps(real + 3*incrX, real + 2*incrX, real + incrX, real);
}
}
return (unsigned long long)((h-y)/yIncr)*w*numIters;
}
#endif
const int W = 512;
const int H = 512;
SDL_Surface *screen = 0;
int framesRendered = 0;
double lastFPSPrint = 0.0;
float incrX = 3.f / W;
float incrY = 3.f / W;
float left = -2.f;
float top = 0.f - incrY*H/2.f;
volatile unsigned int numItersDoneOnCanvas = 0;
unsigned int numItersPerFrame = 10;
#define MAX_NUM_THREADS 16
#define NUM_THREADS 2
int numTasks = NUM_THREADS;
float mandelReal[W*H] = {};
float mandelImag[W*H] = {};
uint32_t outputImage[W*H];
pthread_t thread[MAX_NUM_THREADS];
double timeSpentInMandelbrot[MAX_NUM_THREADS] = {};
unsigned long long numIters[MAX_NUM_THREADS] = {};
uint32_t numThreadsRunning = 0;
uint32_t maxThreadsRunning = 1;
bool use_sse = true;
int tasksDone = 0;
int tasksPending[MAX_NUM_THREADS] = {};
#ifndef SINGLETHREADED
void *mandelbrot_thread(void *arg)
{
int idx = (int)arg;
emscripten_atomic_add_u32(&numThreadsRunning, 1);
char threadName[32];
sprintf(threadName, "Worker %d", idx);
emscripten_set_thread_name(pthread_self(), threadName);
for(;;)
{
emscripten_futex_wait(&tasksPending[idx], 0, INFINITY);
emscripten_atomic_store_u32(&tasksPending[idx], 0);
double t0 = emscripten_get_now();
int ni;
#ifdef TEST_THREAD_PROFILING
// If building as part of the harness, do silly things that show up in --threadprofiler,
// such as sleeping and proxied file i/o ops
usleep(2000);
FILE *handle = fopen("a.txt", "w");
fputs("hello", handle);
fclose(handle);
#endif
#ifdef __SSE__
if (use_sse)
ni = ComputeMandelbrot_SSE(mandelReal, mandelImag, outputImage, sizeof(float)*W, sizeof(uint32_t)*W, 0, idx, numTasks, W, H, left, top, incrX, incrY, numItersDoneOnCanvas, numItersPerFrame);
else
#endif
ni = ComputeMandelbrot(mandelReal, mandelImag, outputImage, sizeof(float)*W, sizeof(uint32_t)*W, 0, idx, numTasks, W, H, left, top, incrX, incrY, numItersDoneOnCanvas, numItersPerFrame);
//emscripten_atomic_add_u32(&numIters, ni);
double t1 = emscripten_get_now();
numIters[idx] += ni;
timeSpentInMandelbrot[idx] += t1-t0;
emscripten_atomic_add_u32(&tasksDone, 1);
emscripten_futex_wake(&tasksDone, 9999);
}
}
#endif
float hScroll = 0;
float vScroll = 0;
float zoom = 0.f;
//#define NO_SDL
double prevT = 0;
void register_tasks()
{
numTasks = EM_ASM_INT(return (typeof document !== 'undefined' && document.getElementById('num_threads')) ? parseInt(document.getElementById('num_threads').value) : 1);
#ifdef SINGLETHREADED
// Single-threaded
for(int i = 0; i < numTasks; ++i)
{
double t0 = emscripten_get_now();
#ifdef __SSE__
if (use_sse)
numIters[0] += ComputeMandelbrot_SSE(mandelReal, mandelImag, outputImage, sizeof(float)*W, sizeof(uint32_t)*W, W*i/numTasks, 0, 1, W/numTasks, H, left, top, incrX, incrY, numItersDoneOnCanvas, numItersPerFrame);
else
#endif
numIters[0] += ComputeMandelbrot(mandelReal, mandelImag, outputImage, sizeof(float)*W, sizeof(uint32_t)*W, W*i/numTasks, 0, 1, W/numTasks, H, left, top, incrX, incrY, numItersDoneOnCanvas, numItersPerFrame);
double t1 = emscripten_get_now();
timeSpentInMandelbrot[0] += t1-t0;
}
#else
emscripten_atomic_fence();
numTasks = EM_ASM_INT(return (typeof document !== 'undefined' && document.getElementById('num_threads')) ? parseInt(document.getElementById('num_threads').value) : 1);
if (numTasks < 1) numTasks = 1;
if (numTasks > emscripten_num_logical_cores()) numTasks = emscripten_num_logical_cores();
// Register tasks.
emscripten_atomic_store_u32(&tasksDone, 0);
emscripten_atomic_fence();
for(int i = 0; i < numTasks; ++i)
{
emscripten_atomic_store_u32(&tasksPending[i], 1);
emscripten_futex_wake(&tasksPending[i], 999);
}
#endif
}
void wait_tasks()
{
#ifndef SINGLETHREADED
// Wait for each task to finish.
for(;;)
{
int td = emscripten_atomic_load_u32(&tasksDone);
if (td >= numTasks)
break;
emscripten_futex_wait(&tasksDone, td, 1);
emscripten_main_thread_process_queued_calls();
}
#endif
}
void main_tick()
{
#ifndef SINGLETHREADED
const int threadsRunning = emscripten_atomic_load_u32(&numThreadsRunning);
if (threadsRunning < maxThreadsRunning) return;
#endif
wait_tasks();
numItersDoneOnCanvas += numItersPerFrame;
#if defined(TEST_THREAD_PROFILING) && defined(REPORT_RESULT)
static bool reported = false;
if (!reported && numItersDoneOnCanvas > 50000)
{
REPORT_RESULT(0);
reported = true;
}
#endif
double t = emscripten_get_now();
double dt = t - prevT;
#ifndef NO_SDL
if (ENVIRONMENT_IS_WEB) {
SDL_Event event;
while (SDL_PollEvent(&event)) {
switch(event.type) {
case SDL_KEYDOWN:
switch (event.key.keysym.sym) {
case SDLK_RIGHT: hScroll = 1.f; break;
case SDLK_LEFT: hScroll = -1.f; break;
case SDLK_DOWN: vScroll = 1.f; break;
case SDLK_UP: vScroll = -1.f; break;
case SDLK_a: zoom = -1.f; break;
case SDLK_z: zoom = 1.f; break;
}
break;
case SDL_KEYUP:
switch (event.key.keysym.sym) {
case SDLK_RIGHT:
case SDLK_LEFT: hScroll = 0.f; break;
case SDLK_DOWN:
case SDLK_UP: vScroll = 0.f; break;
case SDLK_a:
case SDLK_z: zoom = 0.f; break;
}
break;
}
}
}
#endif
float iterSize = 1.f / (incrX < incrY ? incrX : incrY);
unsigned int minItersBeforeDisplaying = 50 + (int)(iterSize / 10000.f);
prevT = t;
if (numItersDoneOnCanvas >= minItersBeforeDisplaying)
{
top += dt * vScroll * incrX / 5.f;
left += dt * hScroll * incrY / 5.f;
// ctrX = left + incrX * W / 2.f;
// ctrXNew = leftNew + incrXNew * W / 2.f;
// ctrXNew == ctrX
// left + incrX * W / 2.f == leftNew + incrXNew * W / 2.f
// leftNew = left + (incrX - incrXNew) * W / 2.f;
float incrXNew = incrX + dt * zoom * incrX / 1000.0;
float incrYNew = incrY + dt * zoom * incrX / 1000.0;
if (incrXNew > 1.f / 20000000.f && incrYNew > 1.f / 20000000.f) // Stop zooming in when single-precision floating point accuracy starts to visibly break apart.
{
left += (incrX - incrXNew) * W / 2.f;
top += (incrY - incrYNew) * H / 2.f;
incrX = incrXNew;
incrY = incrYNew;
}
}
#ifndef NO_SDL
if (ENVIRONMENT_IS_WEB && numItersDoneOnCanvas >= minItersBeforeDisplaying)
{
if (SDL_MUSTLOCK(screen)) SDL_LockSurface(screen);
memcpy(screen->pixels, outputImage, sizeof(outputImage));
if (SDL_MUSTLOCK(screen)) SDL_UnlockSurface(screen);
SDL_Flip(screen);
}
#endif
int new_use_sse = EM_ASM_INT(return (typeof document !== 'undefined' && document.getElementById('use_sse')) ? document.getElementById('use_sse').checked : false);
if (numItersDoneOnCanvas >= minItersBeforeDisplaying || new_use_sse != use_sse)
{
if (hScroll != 0.f || vScroll != 0.f || zoom != 0.f || new_use_sse != use_sse)
{
for(int i = 0; i < W*H; ++i)
outputImage[i] = 0x00000000;
numItersDoneOnCanvas = 0;
smallestIterOut = 0x7FFFFFFF;
memset(mandelReal, 0, sizeof(mandelReal));
memset(mandelImag, 0, sizeof(mandelImag));
}
}
use_sse = new_use_sse;
numItersPerFrame = EM_ASM_INT({
if (typeof location !== 'undefined') {
var updatesPerFrame = (new RegExp("[\\?&]updates=([^&#]*)")).exec(location.href);
if (updatesPerFrame) return updatesPerFrame[1];
}
if (arguments_ && arguments_.length >= 1) return parseInt(arguments_[0]);
if (typeof document !== 'undefined' && document.getElementById('updates_per_frame')) return parseInt(document.getElementById('updates_per_frame').value);
return 50;
});
if (numItersPerFrame < 10) numItersPerFrame = 10;
if (numItersPerFrame > 50000) numItersPerFrame = 50000;
++framesRendered;
t = emscripten_get_now();
if (t - lastFPSPrint > 1000.0)
{
double msecsPerFrame = (t - lastFPSPrint) / framesRendered;
double mbTime = 0.0;
unsigned long long numItersAllThreads = 0;
for(int i = 0; i < numTasks; ++i)
{
mbTime += timeSpentInMandelbrot[i];
timeSpentInMandelbrot[i] = 0;
numItersAllThreads += numIters[i];
numIters[i] = 0;
}
#ifndef SINGLETHREADED
mbTime /= numTasks;
#endif
double fps = 1000.0 / msecsPerFrame;
double itersPerSecond = numItersAllThreads * 1000.0 / (t-lastFPSPrint);
char str[256];
const char *suffix = "";
static double ItersSmoothed = 0;
ItersSmoothed = ItersSmoothed * 0.8 + itersPerSecond * 0.2;
double itersNum = ItersSmoothed;
if (ItersSmoothed > 0.9 * 1000 * 1000 * 1000)
{
suffix = "G";
itersNum = ItersSmoothed / 1000000000.0;
}
else if (ItersSmoothed > 0.9 * 1000 * 1000)
{
suffix = "M";
itersNum = ItersSmoothed / 1000000.0;
}
else if (ItersSmoothed > 0.9 * 1000)
{
suffix = "K";
itersNum = ItersSmoothed / 1000.0;
}
double cpuUsageSeconds = mbTime/1000.0;
double cpuUsageRatio = mbTime * 100.0 / (t-lastFPSPrint);
if (ENVIRONMENT_IS_WEB) {
sprintf(str, "%.3f%s iterations/second. FPS: %.2f. CPU usage: %.2f%%", itersNum, suffix, fps, cpuUsageRatio);
// sprintf(str, "%.3f%s iterations/second. FPS: %.2f. Zoom: %f", itersNum, suffix, fps, 1.f / (incrX < incrY ? incrX : incrY));
char str2[256];
sprintf(str2, "document.getElementById('performance').innerHTML = '%s';", str);
emscripten_run_script_string(str2);
//EM_ASM({document.getElementById('performance').innerHTML = $0;}, str);
}
printf("%.2f msecs/frame, FPS: %.2f. %f iters/second. Time spent in Mandelbrot: %f secs. (%.2f%%)\n", msecsPerFrame, fps, itersPerSecond,
cpuUsageSeconds, cpuUsageRatio);
lastFPSPrint = t;
framesRendered = 0;
}
register_tasks();
}
int main(int argc, char** argv)
{
ENVIRONMENT_IS_WEB = EM_ASM_INT(return ENVIRONMENT_IS_WEB);
#ifndef NO_SDL
if (ENVIRONMENT_IS_WEB) {
SDL_Init(SDL_INIT_VIDEO);
screen = SDL_SetVideoMode(W, H, 32, SDL_SWSURFACE);
}
#endif
for(int i = 0; i < W*H; ++i)
outputImage[i] = 0x00000000;
#ifndef SINGLETHREADED
maxThreadsRunning = emscripten_num_logical_cores() < MAX_NUM_THREADS ? emscripten_num_logical_cores() : MAX_NUM_THREADS;
for(int i = 0; i < maxThreadsRunning; ++i)
{
int rc = pthread_create(&thread[i], NULL, mandelbrot_thread, (void*)i);
assert(rc == 0);
}
#endif
#ifndef SINGLETHREADED
emscripten_set_thread_name(pthread_self(), "Mandelbrot main");
#endif
#ifndef NO_SDL
EM_ASM("SDL.defaults.copyOnLock = false; SDL.defaults.discardOnLock = true; SDL.defaults.opaqueFrontBuffer = false;");
#endif
register_tasks();
if (ENVIRONMENT_IS_WEB) {
emscripten_set_main_loop(main_tick, 0, 0);
} else {
int numTotalFrames = EM_ASM_INT(return (arguments_ && arguments_.length >= 2) ? parseInt(arguments_[1]) : 1000);
printf("Rendering %d frames of Mandelbrot. Invoke \"node|js mandelbrot.js numItersPerFrame numFrames\" to configure.\n", numTotalFrames);
double t0 = emscripten_get_now();
for(int i = 0; i < numTotalFrames; ++i) {
main_tick();
}
double t1 = emscripten_get_now();
printf("Rendered %d frames (%d total iterations) of Mandelbrot.\n", numTotalFrames, numItersDoneOnCanvas);
printf("Total time: %f seconds, or %f seconds/frame, or %f seconds/iteration.\n", (t1-t0)/1000.0, (t1-t0)/(1000.0*numTotalFrames), (t1-t0)/(1000.0*numItersDoneOnCanvas));
}
return 0;
}
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