speed

CMakeLists.txt

@@ -7,3 +7,14 @@ if (NOT CMAKE_BUILD_TYPE)
 endif()
 
 add_executable(main main.cpp)
+
+if(MSVC)
+else()
+target_compile_options(main PUBLIC
+    -Wall
+    -Werror
+    -O3
+    -march=native
+    -ffast-math
+)
+endif()

main.cpp

@@ -4,63 +4,74 @@
 #include <chrono>
 #include <cmath>
 
+constexpr float daoshu = 1 / RAND_MAX;
 float frand() {
-    return (float)rand() / RAND_MAX * 2 - 1;
+    return (float)rand() * daoshu * 2 - 1;
 }
 
+
+constexpr int N = 48;
 struct Star {
-    float px, py, pz;
-    float vx, vy, vz;
-    float mass;
+    float px[N];
+    float py[N];
+    float pz[N];
+    float vx[N];
+    float vy[N];
+    float vz[N];
+    float mass[N];
 };
 
-std::vector<Star> stars;
+Star stars;
 
 void init() {
-    for (int i = 0; i < 48; i++) {
-        stars.push_back({
-            frand(), frand(), frand(),
-            frand(), frand(), frand(),
-            frand() + 1,
-        });
+    for (size_t i = 0; i < 48; i++) {
+        stars.px[i] = frand();
+        stars.py[i] = frand();
+        stars.pz[i] = frand();
+        stars.vx[i] = frand();
+        stars.vy[i] = frand();
+        stars.vz[i] = frand();
+        stars.mass[i] = frand() + 1;
+
     }
 }
 
 float G = 0.001;
 float eps = 0.001;
 float dt = 0.01;
 
-void step() {
-    for (auto &star: stars) {
-        for (auto &other: stars) {
-            float dx = other.px - star.px;
-            float dy = other.py - star.py;
-            float dz = other.pz - star.pz;
-            float d2 = dx * dx + dy * dy + dz * dz + eps * eps;
-            d2 *= sqrt(d2);
-            star.vx += dx * other.mass * G * dt / d2;
-            star.vy += dy * other.mass * G * dt / d2;
-            star.vz += dz * other.mass * G * dt / d2;
+    void step() {
+
+        for(size_t i = 0; i < 48; i++) {
+            for(size_t j = 0; j < 48; j++) {
+                float dx = stars.px[j] - stars.px[i];
+                float dy = stars.py[j] - stars.py[i];
+                float dz = stars.pz[j] - stars.pz[i];
+                float d2 = dx * dx + dy * dy + dz * dz + eps * eps;
+                d2 *= std::sqrt(d2);
+                float dao = 1 / d2;
+
+                stars.vx[i] += dx * stars.mass[j] * (G * dt * dao);
+                stars.vy[i] += dy * stars.mass[j] * (G * dt * dao);
+                stars.vz[i] += dz * stars.mass[j] * (G * dt * dao);
+            }
+            stars.px[i] += stars.vx[i] * dt;
+            stars.py[i] += stars.vy[i] * dt;
+            stars.pz[i] += stars.vz[i] * dt;
         }
     }
-    for (auto &star: stars) {
-        star.px += star.vx * dt;
-        star.py += star.vy * dt;
-        star.pz += star.vz * dt;
-    }
-}
 
 float calc() {
     float energy = 0;
-    for (auto &star: stars) {
-        float v2 = star.vx * star.vx + star.vy * star.vy + star.vz * star.vz;
-        energy += star.mass * v2 / 2;
-        for (auto &other: stars) {
-            float dx = other.px - star.px;
-            float dy = other.py - star.py;
-            float dz = other.pz - star.pz;
-            float d2 = dx * dx + dy * dy + dz * dz + eps * eps;
-            energy -= other.mass * star.mass * G / sqrt(d2) / 2;
+    for(size_t i = 0; i < 48; ++i) {
+        float v2 = stars.vx[i] * stars.vx[i] + stars.vy[i] * stars.vy[i] + stars.vz[i] * stars.vz[i];
+        energy += stars.mass[i] * v2 * 0.5f;
+        for(size_t j = 0; j < 48; j++) {
+            float dx = stars.px[j] - stars.px[i];
+            float dy = stars.py[j] - stars.py[i];
+            float dz = stars.pz[j] - stars.pz[i];
+            float d2 = dx * dx + dy * dy + dz * dz + (eps * eps);
+            energy -= stars.mass[j] * stars.mass[i]  / std::sqrt(d2) * (0.5f * G);
         }
     }
     return energy;