Query Cache: Fix Prefix Sums
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5 changed files with 174 additions and 131 deletions
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@ -34,11 +34,16 @@
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#endif
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BEGIN_PUSH_CONSTANTS
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UNIFORM(0) uint max_accumulation_base;
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UNIFORM(1) uint accumulation_limit;
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UNIFORM(0) uint min_accumulation_base;
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UNIFORM(1) uint max_accumulation_base;
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UNIFORM(2) uint accumulation_limit;
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UNIFORM(3) uint buffer_offset;
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END_PUSH_CONSTANTS
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layout(local_size_x = 32) in;
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#define LOCAL_RESULTS 8
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#define QUERIES_PER_INVOC 2048
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layout(local_size_x = QUERIES_PER_INVOC / LOCAL_RESULTS) in;
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layout(std430, binding = 0) readonly buffer block1 {
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uvec2 input_data[];
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@ -52,7 +57,7 @@ layout(std430, binding = 2) coherent buffer block3 {
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uvec2 accumulated_data;
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};
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shared uvec2 shared_data[2];
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shared uvec2 shared_data[128];
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// Simple Uint64 add that uses 2 uint variables for GPUs that don't support uint64
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uvec2 AddUint64(uvec2 value_1, uvec2 value_2) {
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@ -67,8 +72,8 @@ uvec2 AddUint64(uvec2 value_1, uvec2 value_2) {
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uvec2 subgroupInclusiveAddUint64(uvec2 value) {
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uvec2 result = value;
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for (uint i = 1; i < gl_SubgroupSize; i *= 2) {
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uvec2 other = subgroupShuffleUp(result, i); // get value from subgroup_inv_id - i;
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if (i <= gl_SubgroupInvocationID) {
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uvec2 other = subgroupShuffleUp(result, i); // get value from subgroup_inv_id - i;
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result = AddUint64(result, other);
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}
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}
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@ -76,89 +81,93 @@ uvec2 subgroupInclusiveAddUint64(uvec2 value) {
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}
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// Writes down the results to the output buffer and to the accumulation buffer
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void WriteResults(uvec2 result) {
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uint current_global_id = gl_GlobalInvocationID.x;
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uvec2 base_data = current_global_id < max_accumulation_base ? accumulated_data : uvec2(0);
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output_data[current_global_id] = result + base_data;
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if (max_accumulation_base >= accumulation_limit + 1) {
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if (current_global_id == accumulation_limit) {
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accumulated_data = result;
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void WriteResults(uvec2 results[LOCAL_RESULTS]) {
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const uint current_id = gl_LocalInvocationID.x;
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const uvec2 accum = accumulated_data;
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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uvec2 base_data = current_id * LOCAL_RESULTS + i < min_accumulation_base ? accum : uvec2(0, 0);
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AddUint64(results[i], base_data);
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}
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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output_data[buffer_offset + current_id * LOCAL_RESULTS + i] = results[i];
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}
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uint index = accumulation_limit % LOCAL_RESULTS;
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uint base_id = accumulation_limit / LOCAL_RESULTS;
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if (min_accumulation_base >= accumulation_limit + 1) {
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if (current_id == base_id) {
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accumulated_data = results[index];
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}
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return;
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}
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// We have that ugly case in which the accumulation data is reset in the middle somewhere.
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barrier();
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groupMemoryBarrier();
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if (current_global_id == accumulation_limit) {
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uvec2 value_1 = output_data[max_accumulation_base];
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accumulated_data = AddUint64(result, -value_1);
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if (current_id == base_id) {
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uvec2 reset_value = output_data[max_accumulation_base - 1];
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// Calculate two complement / negate manually
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reset_value = AddUint64(uvec2(1,0), ~reset_value);
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accumulated_data = AddUint64(results[index], reset_value);
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}
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}
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void main() {
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uint subgroup_inv_id = gl_SubgroupInvocationID;
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uint subgroup_id = gl_SubgroupID;
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uint last_subgroup_id = subgroupMax(subgroup_inv_id);
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uint current_global_id = gl_GlobalInvocationID.x;
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uint total_work = gl_NumWorkGroups.x * gl_WorkGroupSize.x;
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uvec2 data = input_data[current_global_id];
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const uint subgroup_inv_id = gl_SubgroupInvocationID;
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const uint subgroup_id = gl_SubgroupID + gl_WorkGroupID.x * gl_NumSubgroups;
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const uint last_subgroup_id = subgroupMax(subgroup_inv_id);
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const uint current_id = gl_LocalInvocationID.x;
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const uint total_work = accumulation_limit;
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const uint last_result_id = LOCAL_RESULTS - 1;
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uvec2 data[LOCAL_RESULTS];
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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data[i] = input_data[buffer_offset + current_id * LOCAL_RESULTS + i];
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}
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uvec2 results[LOCAL_RESULTS];
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results[0] = data[0];
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for (uint i = 1; i < LOCAL_RESULTS; i++) {
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results[i] = AddUint64(data[i], results[i - 1]);
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}
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// make sure all input data has been loaded
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subgroupBarrier();
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subgroupMemoryBarrier();
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uvec2 result = subgroupInclusiveAddUint64(data);
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// on the last local result, do a subgroup inclusive scan sum
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results[last_result_id] = subgroupInclusiveAddUint64(results[last_result_id]);
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// get the last local result from the subgroup behind the current
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uvec2 result_behind = subgroupShuffleUp(results[last_result_id], 1);
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if (subgroup_inv_id != 0) {
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for (uint i = 1; i < LOCAL_RESULTS; i++) {
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results[i - 1] = AddUint64(results[i - 1], result_behind);
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}
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}
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// if we had less queries than our subgroup, just write down the results.
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if (total_work <= gl_SubgroupSize) { // This condition is constant per dispatch.
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WriteResults(result);
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if (total_work <= gl_SubgroupSize * LOCAL_RESULTS) { // This condition is constant per dispatch.
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WriteResults(results);
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return;
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}
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// We now have more, so lets write the last result into shared memory.
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// Only pick the last subgroup.
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if (subgroup_inv_id == last_subgroup_id) {
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shared_data[subgroup_id] = result;
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shared_data[subgroup_id] = results[last_result_id];
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}
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// wait until everyone loaded their stuffs
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barrier();
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memoryBarrierShared();
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// Case 1: the total work for the grouped results can be calculated in a single subgroup
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// operation (about 1024 queries).
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uint total_extra_work = gl_NumSubgroups * gl_NumWorkGroups.x;
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if (total_extra_work <= gl_SubgroupSize) { // This condition is constant per dispatch.
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if (subgroup_id != 0) {
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uvec2 tmp = shared_data[subgroup_inv_id];
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subgroupBarrier();
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subgroupMemoryBarrierShared();
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tmp = subgroupInclusiveAddUint64(tmp);
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result = AddUint64(result, subgroupShuffle(tmp, subgroup_id - 1));
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}
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WriteResults(result);
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return;
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}
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// Case 2: our work amount is huge, so lets do it in O(log n) steps.
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const uint extra = (total_extra_work ^ (total_extra_work - 1)) != 0 ? 1 : 0;
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const uint steps = 1 << (findMSB(total_extra_work) + extra);
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uint step;
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// Hillis and Steele's algorithm
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for (step = 1; step < steps; step *= 2) {
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if (current_global_id < steps && current_global_id >= step) {
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uvec2 current = shared_data[current_global_id];
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uvec2 other = shared_data[current_global_id - step];
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shared_data[current_global_id] = AddUint64(current, other);
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}
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// steps is constant, so this will always execute in ever workgroup's thread.
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barrier();
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memoryBarrierShared();
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}
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// Only add results for groups higher than 0
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// only if it's not the first subgroup
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if (subgroup_id != 0) {
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result = AddUint64(result, shared_data[subgroup_id - 1]);
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// get the results from some previous invocation
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uvec2 tmp = shared_data[subgroup_inv_id];
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subgroupBarrier();
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subgroupMemoryBarrierShared();
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tmp = subgroupInclusiveAddUint64(tmp);
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// obtain the result that would be equivalent to the previous result
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uvec2 shuffled_result = subgroupShuffle(tmp, subgroup_id - 1);
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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results[i] = AddUint64(results[i], shuffled_result);
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}
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}
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// Just write the final results. We are done
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WriteResults(result);
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WriteResults(results);
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}
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@ -32,25 +32,30 @@
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#endif
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BEGIN_PUSH_CONSTANTS
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UNIFORM(0) uint max_accumulation_base;
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UNIFORM(1) uint accumulation_limit;
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UNIFORM(0) uint min_accumulation_base;
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UNIFORM(1) uint max_accumulation_base;
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UNIFORM(2) uint accumulation_limit;
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UNIFORM(3) uint buffer_offset;
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END_PUSH_CONSTANTS
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layout(local_size_x = 32) in;
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#define LOCAL_RESULTS 4
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#define QUERIES_PER_INVOC 2048
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layout(local_size_x = QUERIES_PER_INVOC / LOCAL_RESULTS) in;
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layout(std430, binding = 0) readonly buffer block1 {
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uvec2 input_data[gl_WorkGroupSize.x];
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uvec2 input_data[gl_WorkGroupSize.x * LOCAL_RESULTS];
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};
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layout(std430, binding = 1) writeonly coherent buffer block2 {
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uvec2 output_data[gl_WorkGroupSize.x];
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uvec2 output_data[gl_WorkGroupSize.x * LOCAL_RESULTS];
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};
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layout(std430, binding = 2) coherent buffer block3 {
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uvec2 accumulated_data;
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};
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shared uvec2 shared_data[gl_WorkGroupSize.x * 2];
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shared uvec2 shared_data[gl_WorkGroupSize.x * LOCAL_RESULTS];
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uvec2 AddUint64(uvec2 value_1, uvec2 value_2) {
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uint carry = 0;
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@ -62,23 +67,31 @@ uvec2 AddUint64(uvec2 value_1, uvec2 value_2) {
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void main(void) {
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uint id = gl_LocalInvocationID.x;
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uvec2 base_value_1 = (id * 2) < max_accumulation_base ? accumulated_data : uvec2(0);
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uvec2 base_value_2 = (id * 2 + 1) < max_accumulation_base ? accumulated_data : uvec2(0);
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uvec2 base_value[LOCAL_RESULTS];
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const uvec2 accum = accumulated_data;
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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base_value[i] = (buffer_offset + id * LOCAL_RESULTS + i) < min_accumulation_base
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? accumulated_data
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: uvec2(0);
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}
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uint work_size = gl_WorkGroupSize.x;
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uint rd_id;
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uint wr_id;
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uint mask;
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uvec2 input_1 = input_data[id * 2];
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uvec2 input_2 = input_data[id * 2 + 1];
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uvec2 inputs[LOCAL_RESULTS];
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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inputs[i] = input_data[buffer_offset + id * LOCAL_RESULTS + i];
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}
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// The number of steps is the log base 2 of the
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// work group size, which should be a power of 2
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const uint steps = uint(log2(work_size)) + 1;
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const uint steps = uint(log2(work_size)) + uint(log2(LOCAL_RESULTS));
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uint step = 0;
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// Each invocation is responsible for the content of
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// two elements of the output array
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shared_data[id * 2] = input_1;
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shared_data[id * 2 + 1] = input_2;
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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shared_data[id * LOCAL_RESULTS + i] = inputs[i];
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}
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// Synchronize to make sure that everyone has initialized
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// their elements of shared_data[] with data loaded from
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// the input arrays
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@ -100,21 +113,26 @@ void main(void) {
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memoryBarrierShared();
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}
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// Add the accumulation
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shared_data[id * 2] = AddUint64(shared_data[id * 2], base_value_1);
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shared_data[id * 2 + 1] = AddUint64(shared_data[id * 2 + 1], base_value_2);
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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shared_data[id * LOCAL_RESULTS + i] =
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AddUint64(shared_data[id * LOCAL_RESULTS + i], base_value[i]);
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}
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barrier();
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memoryBarrierShared();
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// Finally write our data back to the output buffer
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output_data[id * 2] = shared_data[id * 2];
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output_data[id * 2 + 1] = shared_data[id * 2 + 1];
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for (uint i = 0; i < LOCAL_RESULTS; i++) {
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output_data[buffer_offset + id * LOCAL_RESULTS + i] = shared_data[id * LOCAL_RESULTS + i];
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}
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if (id == 0) {
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if (max_accumulation_base >= accumulation_limit + 1) {
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if (min_accumulation_base >= accumulation_limit + 1) {
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accumulated_data = shared_data[accumulation_limit];
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return;
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}
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uvec2 value_1 = shared_data[max_accumulation_base];
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uvec2 value_2 = shared_data[accumulation_limit];
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accumulated_data = AddUint64(value_1, -value_2);
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uvec2 reset_value = shared_data[max_accumulation_base - 1];
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uvec2 final_value = shared_data[accumulation_limit];
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// Two complements
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reset_value = AddUint64(uvec2(1, 0), ~reset_value);
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accumulated_data = AddUint64(final_value, reset_value);
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}
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}
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