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GPU610/Cosmosis

16,378 bytes added, 14:09, 13 April 2013
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numBlocks_ <span style='color:#308080; '>=</span> <span style='color:#308080; '>(</span>bodies_<span style='color:#308080; '>.</span>size<span style='color:#308080; '>(</span><span style='color:#308080; '>)</span> <span style='color:#308080; '>+</span> numThreads_ <span style='color:#308080; '>-</span> <span style='color:#008c00; '>1</span><span style='color:#308080; '>)</span> <span style='color:#308080; '>/</span> numThreads_<span style='color:#406080; '>;</span>
numThreads_ <span style='color:#308080; '>=</span> <span style='color:#308080; '>(</span>numThreads_ <span style='color:#308080; '>+</span> <span style='color:#008c00; '>1</span><span style='color:#308080; '>)</span> <span style='color:#308080; '>&amp;</span> <span style='color:#308080; '>~</span><span style='color:#008c00; '>1</span><span style='color:#406080; '>;</span>
</div>
 
==== Dynamic Shared Memory (not implemented) ====
 
This is the what we thought of to send in chunks to the kernel so that the kernel can handle shared memory size of no greater than the max shared memory size of the GPU:
<div style='color:#000000;background:#ffffff;'>
CHUNKSIZE <span style='color:#808030; '>=</span> <span style='color:#008c00; '>512</span><span style='color:#800080; '>;</span>
shared_ <span style='color:#808030; '>=</span> CHUNKSIZE <span style='color:#808030; '>*</span> <span style='color:#800000; font-weight:bold; '>sizeof</span><span style='color:#808030; '>(</span>SimBody<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>while</span> <span style='color:#808030; '>(</span>chunks <span style='color:#808030; '>></span> <span style='color:#008c00; '>0</span><span style='color:#808030; '>)</span>
<span style='color:#800080; '>{</span>
BodyArray ba <span style='color:#808030; '>=</span> <span style='color:#800080; '>{</span> <span style='color:#808030; '>&amp;</span>arr<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>index<span style='color:#808030; '>]</span><span style='color:#808030; '>,</span> CHUNKSIZE <span style='color:#800080; '>}</span><span style='color:#800080; '>;</span>
SimCalc <span style='color:#808030; '>&lt;</span><span style='color:#808030; '>&lt;</span><span style='color:#808030; '>&lt;</span> numBlocks_<span style='color:#808030; '>,</span> numThreads_<span style='color:#808030; '>,</span> shared_ <span style='color:#808030; '>></span><span style='color:#808030; '>></span><span style='color:#808030; '>></span><span style='color:#808030; '>(</span>ba<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
cudaThreadSynchronize<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
SimTick <span style='color:#808030; '>&lt;</span><span style='color:#808030; '>&lt;</span><span style='color:#808030; '>&lt;</span> numBlocks_<span style='color:#808030; '>,</span> numThreads_<span style='color:#808030; '>,</span> shared_ <span style='color:#808030; '>></span><span style='color:#808030; '>></span><span style='color:#808030; '>></span><span style='color:#808030; '>(</span>ba<span style='color:#808030; '>,</span> timeStep<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
cudaThreadSynchronize<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
index <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> CHUNKSIZE<span style='color:#800080; '>;</span>
<span style='color:#808030; '>-</span><span style='color:#808030; '>-</span>chunks<span style='color:#800080; '>;</span>
<span style='color:#800080; '>}</span>
chunks <span style='color:#808030; '>=</span> arr<span style='color:#808030; '>.</span>size <span style='color:#808030; '>/</span> CHUNKSIZE <span style='color:#808030; '>+</span> <span style='color:#008c00; '>1</span><span style='color:#800080; '>;</span>
index <span style='color:#808030; '>=</span> <span style='color:#008c00; '>0</span><span style='color:#800080; '>;</span>
</div>
It handles calculations in chunks so that the kernel can do calculations on body sizes of more than 1175 for devices with compute capabilities of 3.x.
 
Here is what the shared memory kernels would look like (not implemented because not correct):
<div style='color:#000000;background:#ffffff;'>
<span style='color:#800000; font-weight:bold; '>void</span> __global__ SimCalc<span style='color:#808030; '>(</span>BodyArray a<span style='color:#808030; '>)</span>
<span style='color:#800080; '>{</span>
int_fast32_t idx <span style='color:#808030; '>=</span> blockIdx<span style='color:#808030; '>.</span>x <span style='color:#808030; '>*</span> blockDim<span style='color:#808030; '>.</span>x <span style='color:#808030; '>+</span> threadIdx<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>int</span> tid <span style='color:#808030; '>=</span> threadIdx<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>extern</span> __shared__ SimBody sa<span style='color:#808030; '>[</span><span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>if</span> <span style='color:#808030; '>(</span>idx <span style='color:#808030; '>></span><span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span>size<span style='color:#808030; '>)</span>
<span style='color:#800000; font-weight:bold; '>return</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span> <span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>idx<span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
__syncthreads<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>const</span> _T G <span style='color:#808030; '>=</span> <span style='color:#008000; '>6.67384</span><span style='color:#006600; '>f</span> <span style='color:#808030; '>*</span> <span style='color:#603000; '>pow</span><span style='color:#808030; '>(</span><span style='color:#008000; '>10.0</span><span style='color:#006600; '>f</span><span style='color:#808030; '>,</span> <span style='color:#808030; '>-</span><span style='color:#008000; '>11.0</span><span style='color:#006600; '>f</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#696969; '>//precompute positions at index</span>
<span style='color:#800000; font-weight:bold; '>const</span> _T px <span style='color:#808030; '>=</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>const</span> _T py <span style='color:#808030; '>=</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>y<span style='color:#800080; '>;</span>
<span style='color:#696969; '>//mass at the index</span>
<span style='color:#800000; font-weight:bold; '>const</span> _T M_idx <span style='color:#808030; '>=</span> G<span style='color:#808030; '>*</span>sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Mass<span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Force <span style='color:#808030; '>=</span> vec2_t<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>for</span> <span style='color:#808030; '>(</span>int_fast32_t j<span style='color:#808030; '>(</span><span style='color:#008c00; '>0</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span> j <span style='color:#808030; '>!</span><span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span>size<span style='color:#800080; '>;</span> <span style='color:#808030; '>+</span><span style='color:#808030; '>+</span>j<span style='color:#808030; '>)</span> <span style='color:#800080; '>{</span>
<span style='color:#800000; font-weight:bold; '>if</span> <span style='color:#808030; '>(</span>idx <span style='color:#808030; '>!</span><span style='color:#808030; '>=</span> j<span style='color:#808030; '>)</span> <span style='color:#800080; '>{</span>
_T dx <span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>j<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>x <span style='color:#808030; '>-</span> px<span style='color:#800080; '>;</span>
_T dy <span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>j<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>y <span style='color:#808030; '>-</span> py<span style='color:#800080; '>;</span>
_T r <span style='color:#808030; '>=</span> <span style='color:#603000; '>sqrt</span><span style='color:#808030; '>(</span>dx<span style='color:#808030; '>*</span>dx <span style='color:#808030; '>+</span> dy<span style='color:#808030; '>*</span>dy<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
_T F <span style='color:#808030; '>=</span> <span style='color:#808030; '>(</span>M_idx<span style='color:#808030; '>*</span>a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>j<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Mass<span style='color:#808030; '>)</span><span style='color:#808030; '>/</span><span style='color:#808030; '>(</span>r<span style='color:#808030; '>*</span>r<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Force<span style='color:#808030; '>.</span>x <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> F <span style='color:#808030; '>*</span> <span style='color:#808030; '>(</span>dx <span style='color:#808030; '>/</span> r<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Force<span style='color:#808030; '>.</span>y <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> F <span style='color:#808030; '>*</span> <span style='color:#808030; '>(</span>dy <span style='color:#808030; '>/</span> r<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#800080; '>}</span>
__syncthreads<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
<span style='color:#800080; '>}</span>
a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>idx<span style='color:#808030; '>]</span> <span style='color:#808030; '>=</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
<span style='color:#800080; '>}</span>
 
<span style='color:#800000; font-weight:bold; '>void</span> __global__ SimTick<span style='color:#808030; '>(</span>BodyArray a<span style='color:#808030; '>,</span> _T dt<span style='color:#808030; '>)</span>
<span style='color:#800080; '>{</span>
<span style='color:#800000; font-weight:bold; '>int</span> idx <span style='color:#808030; '>=</span> blockIdx<span style='color:#808030; '>.</span>x <span style='color:#808030; '>*</span> blockDim<span style='color:#808030; '>.</span>x <span style='color:#808030; '>+</span> threadIdx<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>int</span> tid <span style='color:#808030; '>=</span> threadIdx<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>extern</span> __shared__ SimBody sa<span style='color:#808030; '>[</span><span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
<span style='color:#800000; font-weight:bold; '>if</span> <span style='color:#808030; '>(</span>idx <span style='color:#808030; '>></span><span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span>size<span style='color:#808030; '>)</span>
<span style='color:#800000; font-weight:bold; '>return</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span> <span style='color:#808030; '>=</span> a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>idx<span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
__syncthreads<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
_T mass <span style='color:#808030; '>=</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Mass<span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Velocity<span style='color:#808030; '>.</span>x <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> dt <span style='color:#808030; '>*</span> <span style='color:#808030; '>(</span>sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Force<span style='color:#808030; '>.</span>x <span style='color:#808030; '>/</span> mass<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Velocity<span style='color:#808030; '>.</span>y <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> dt <span style='color:#808030; '>*</span> <span style='color:#808030; '>(</span>sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Force<span style='color:#808030; '>.</span>y <span style='color:#808030; '>/</span> mass<span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>x <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> dt <span style='color:#808030; '>*</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Velocity<span style='color:#808030; '>.</span>x<span style='color:#800080; '>;</span>
sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Position<span style='color:#808030; '>.</span>y <span style='color:#808030; '>+</span><span style='color:#808030; '>=</span> dt <span style='color:#808030; '>*</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#808030; '>.</span>Velocity<span style='color:#808030; '>.</span>y<span style='color:#800080; '>;</span>
__syncthreads<span style='color:#808030; '>(</span><span style='color:#808030; '>)</span><span style='color:#800080; '>;</span>
a<span style='color:#808030; '>.</span><span style='color:#603000; '>array</span><span style='color:#808030; '>[</span>idx<span style='color:#808030; '>]</span> <span style='color:#808030; '>=</span> sa<span style='color:#808030; '>[</span>tid<span style='color:#808030; '>]</span><span style='color:#800080; '>;</span>
<span style='color:#800080; '>}</span>
</div>
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