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-rw-r--r--mandel.cu102
1 files changed, 87 insertions, 15 deletions
diff --git a/mandel.cu b/mandel.cu
index 480daed..386f962 100644
--- a/mandel.cu
+++ b/mandel.cu
@@ -60,34 +60,77 @@ void mandel_free(Mandel *ctx) {
delete ctx;
}
+// These macros may assume that the parameters are simple variable names.
+#if 1
+#define MANDEL_FUNCTION_REAL(a, b, a2, b2, x, y) (a2 - b2 + x)
+#define MANDEL_FUNCTION_IMAG(a, b, a2, b2, x, y) (2 * a * b + y)
+#endif
+#if 0
+#define MANDEL_FUNCTION_REAL(a, b, a2, b2, x, y) (a2 - b2 + x + 1)
+#define MANDEL_FUNCTION_IMAG(a, b, a2, b2, x, y) (2 * a * b + y)
+#endif
+#if 0
+#define MANDEL_FUNCTION_REAL(a, b, a2, b2, x, y) (a2 * a - 3 * a * b * b + x)
+#define MANDEL_FUNCTION_IMAG(a, b, a2, b2, x, y) (3 * a * a * b - b2 * b + y)
+#endif
+
#define MANDEL_GENERIC(dst, ctx, par, ix, iy, idx) { \
const double x = (par).cx - (par).imgw / 2 + (par).imgw * (ix) / ((ctx).w-1); \
const double y = (par).cy - (ctx).imgh / 2 + (ctx).imgh * (iy) / ((ctx).h-1); \
double a = x, b = y, a2 = a * a, b2 = b * b; \
int16_t iter, maxiter = (par).maxit; \
for (iter = 0; iter < maxiter && a2 + b2 < 4; iter++) { \
- b = 2 * a * b + y; a = a2 - b2 + x; \
+ double newa = MANDEL_FUNCTION_REAL(a, b, a2, b2, x, y); \
+ double newb = MANDEL_FUNCTION_IMAG(a, b, a2, b2, x, y); \
+ a = newa; b = newb; \
a2 = a * a; b2 = b * b; \
} \
(dst)[idx] = iter; \
}
-__global__ void mandel_gpu(int16_t *dst, const Mandel *ctx, const Params *par) {
- const int idx = blockDim.x * blockIdx.x + threadIdx.x;
- const int ix = idx % (int)ctx->w, iy = ctx->h - 1 - idx / (int)ctx->w;
+__global__ void mandel_gpu(int16_t *dst, const Mandel *ctx, const Params *par, int subsample) {
+ const int subidx = blockDim.x * blockIdx.x + threadIdx.x;
+ const int subw = (ctx->w + subsample - 1) / subsample;
+ const int subix = subidx % subw, subiy = subidx / subw;
+ const int ix = subix * subsample, iy = subiy * subsample;
+ const int idx = ctx->w * iy + ix;
+ const int riy = ctx->h - 1 - iy;
+
if (iy >= ctx->h) return;
- MANDEL_GENERIC(dst, *ctx, *par, ix, iy, idx);
+ MANDEL_GENERIC(dst, *ctx, *par, ix, riy, idx);
+}
+
+__global__ void unsubsample_gpu(int16_t *dst, const Mandel *ctx, int subsample) {
+ const int idx = blockDim.x * blockIdx.x + threadIdx.x;
+ const int ix = idx % ctx->w, iy = idx / ctx->w;
+ const int cellix = ix / subsample * subsample, celliy = iy / subsample * subsample;
+
+ dst[ctx->w * iy + ix] = dst[ctx->w * celliy + cellix];
}
// Unused in GPU mode
__attribute__((unused))
-static inline void mandel_cpu(int16_t *dst, const Mandel *ctx, const Params *par) {
- int idx = 0;
- for (int iy = 0; iy < ctx->h; iy++) {
- for (int ix = 0; ix < ctx->w; ix++) {
- MANDEL_GENERIC(dst, *ctx, *par, ix, iy, idx);
- idx++;
+static inline void mandel_cpu(int16_t *dst, const Mandel *ctx, const Params *par, int subsample) {
+ for (int iy = 0; iy < ctx->h; iy += subsample) {
+ for (int ix = 0; ix < ctx->w; ix += subsample) {
+ int idx = ctx->w * iy + ix;
+ int riy = ctx->h - 1 - iy;
+ MANDEL_GENERIC(dst, *ctx, *par, ix, riy, idx);
+ }
+ }
+
+ if (subsample == 1) return;
+
+ for (int iy = 0; iy < ctx->h; iy += subsample) {
+ for (int ix = 0; ix < ctx->w; ix += subsample) {
+ const int16_t value = dst[ctx->w * iy + ix];
+
+ for (int subiy = 0; subiy < subsample; subiy++) {
+ for (int subix = 0; subix < subsample; subix++) {
+ dst[ctx->w * (iy + subiy) + ix + subix] = value;
+ }
+ }
}
}
}
@@ -126,20 +169,28 @@ double mandel_imgh(const Mandel *ctx, const Params *par) {
return par->imgw * ctx->h / ctx->w;
}
-void mandel_render(uint8_t *dst, Mandel *ctx, const Params *par) {
+void mandel_render(uint8_t *dst, Mandel *ctx, const Params *par, size_t subsample) {
ctx->imgh = mandel_imgh(ctx, par);
int64_t t1 = gettimestamp();
#ifdef USE_GPU
+ assert((size_t)(int)subsample == subsample);
+
+ const int subfactor = subsample * subsample;
+
CUDA_CHECK(cudaMemcpy(ctx->devPar, par, sizeof(Params), cudaMemcpyHostToDevice));
CUDA_CHECK(cudaMemcpy(ctx->devCtx, ctx, sizeof(Mandel), cudaMemcpyHostToDevice));
const int nblocks = (ctx->w * ctx->h + 1023) / 1024;
- mandel_gpu<<<nblocks, 1024>>>(ctx->devImg, ctx->devCtx, ctx->devPar);
+ mandel_gpu<<<nblocks/subfactor, 1024>>>(ctx->devImg, ctx->devCtx, ctx->devPar, subsample);
+
+ if (subsample > 1) {
+ unsubsample_gpu<<<nblocks, 1024>>>(ctx->devImg, ctx->devCtx, subsample);
+ }
CUDA_CHECK(cudaMemcpy(ctx->img, ctx->devImg, ctx->w * ctx->h * sizeof(int16_t), cudaMemcpyDeviceToHost));
#else
- mandel_cpu(ctx->img, ctx, par);
+ mandel_cpu(ctx->img, ctx, par, subsample);
#endif
int64_t t2 = gettimestamp();
@@ -155,20 +206,41 @@ void mandel_render(uint8_t *dst, Mandel *ctx, const Params *par) {
int64_t t3 = gettimestamp();
cout << "gpu part: " << (t2 - t1) / 1000000.0 << " sec "
- << "cpu part: " << (t3 - t2) / 1000000 << " sec" << endl;
+ << "cpu part: " << (t3 - t2) / 1000000.0 << " sec" << endl;
}
#if 0
int main() {
Mandel *ctx = mandel_init(1920, 1080);
Params par = mandel_default_params();
+
+#if 0
par.cx = -0.73844331961137488;
par.cy = -0.20921562151741355;
par.imgw = 9.6624448855068765e-08;
par.maxit = 20000;
+
uint8_t *img = new uint8_t[3 * 1920 * 1080];
mandel_render(img, ctx, &par);
mandel_free(ctx);
bmp_rgb_encode_file("out.bmp", img, 1920, 1080);
+#else
+ par.cx = -0.23845305789504126;
+ par.cy = 0.87200567648858607;
+ par.imgw = 3.5; // zoom to 7.5815186948616694e-14
+ par.maxit = 6144;
+
+ uint8_t *img = new uint8_t[3 * 1920 * 1080];
+
+ for (int i = 0; i <= 141; i++) {
+ mandel_render(img, ctx, &par, 1);
+ char fname[64];
+ sprintf(fname, "outdir/out%03d.bmp", i);
+ bmp_rgb_encode_file(fname, img, 1920, 1080);
+ par.imgw *= 0.8;
+ }
+
+ mandel_free(ctx);
+#endif
}
#endif