{"action":"created","comment":{"url":"https://api.github.com/repos/mockingbirdnest/Principia/pulls/comments/209006493","pull_request_review_id":144935079,"id":209006493,"node_id":"MDI0OlB1bGxSZXF1ZXN0UmV2aWV3Q29tbWVudDIwOTAwNjQ5Mw==","diff_hunk":"@@ -7,23 +7,54 @@\n #include <vector>\n \n #include \"benchmark/benchmark.h\"\n+#include \"quantities/numbers.hpp\"\n \n namespace principia {\n namespace numerics {\n+namespace {\n+\n+static const __m128d mantissa_bits =","path":"benchmarks/fast_sin_cos_2π_benchmark.cpp","position":10,"original_position":10,"commit_id":"d78f9ebc6aebc393a756624d1a01d4aed1225f68","original_commit_id":"d78f9ebc6aebc393a756624d1a01d4aed1225f68","user":{"login":"pleroy","id":7423020,"node_id":"MDQ6VXNlcjc0MjMwMjA=","avatar_url":"https://avatars0.githubusercontent.com/u/7423020?v=4","gravatar_id":"","url":"https://api.github.com/users/pleroy","html_url":"https://github.com/pleroy","followers_url":"https://api.github.com/users/pleroy/followers","following_url":"https://api.github.com/users/pleroy/following{/other_user}","gists_url":"https://api.github.com/users/pleroy/gists{/gist_id}","starred_url":"https://api.github.com/users/pleroy/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/pleroy/subscriptions","organizations_url":"https://api.github.com/users/pleroy/orgs","repos_url":"https://api.github.com/users/pleroy/repos","events_url":"https://api.github.com/users/pleroy/events{/privacy}","received_events_url":"https://api.github.com/users/pleroy/received_events","type":"User","site_admin":false},"body":"Wondering if these patterns should have \"mask\" in the name.","created_at":"2018-08-09T17:02:27Z","updated_at":"2018-08-09T17:02:34Z","html_url":"https://github.com/mockingbirdnest/Principia/pull/1889#discussion_r209006493","pull_request_url":"https://api.github.com/repos/mockingbirdnest/Principia/pulls/1889","author_association":"MEMBER","_links":{"self":{"href":"https://api.github.com/repos/mockingbirdnest/Principia/pulls/comments/209006493"},"html":{"href":"https://github.com/mockingbirdnest/Principia/pull/1889#discussion_r209006493"},"pull_request":{"href":"https://api.github.com/repos/mockingbirdnest/Principia/pulls/1889"}}},"pull_request":{"url":"https://api.github.com/repos/mockingbirdnest/Principia/pulls/1889","id":207165802,"node_id":"MDExOlB1bGxSZXF1ZXN0MjA3MTY1ODAy","html_url":"https://github.com/mockingbirdnest/Principia/pull/1889","diff_url":"https://github.com/mockingbirdnest/Principia/pull/1889.diff","patch_url":"https://github.com/mockingbirdnest/Principia/pull/1889.patch","issue_url":"https://api.github.com/repos/mockingbirdnest/Principia/issues/1889","number":1889,"state":"open","locked":false,"title":"Improve the latency benchmark","user":{"login":"eggrobin","id":2284290,"node_id":"MDQ6VXNlcjIyODQyOTA=","avatar_url":"https://avatars0.githubusercontent.com/u/2284290?v=4","gravatar_id":"","url":"https://api.github.com/users/eggrobin","html_url":"https://github.com/eggrobin","followers_url":"https://api.github.com/users/eggrobin/followers","following_url":"https://api.github.com/users/eggrobin/following{/other_user}","gists_url":"https://api.github.com/users/eggrobin/gists{/gist_id}","starred_url":"https://api.github.com/users/eggrobin/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/eggrobin/subscriptions","organizations_url":"https://api.github.com/users/eggrobin/orgs","repos_url":"https://api.github.com/users/eggrobin/repos","events_url":"https://api.github.com/users/eggrobin/events{/privacy}","received_events_url":"https://api.github.com/users/eggrobin/received_events","type":"User","site_admin":false},"body":"Compute (cos bitand 2 ** 52 - 1) bitxor sin to induce a data dependency without reading from precomputed random inputs or doing a couple of floating-point additions.\r\nAdd a benchmark with constant-quadrant inputs, to see the cost of misprediction on random inputs.\r\nThe quadrant is unbiased; below is the histogram of 10000 iterates (mod 1, offset 1/2) various values of 52.\r\n![](https://i.imgur.com/CbzHmja.png)\r\n\r\nBefore:\r\n```\r\nRun on (4 X 2808 MHz CPU s)\r\n08/08/18 23:41:59\r\n------------------------------------------------------------------------\r\nBenchmark                                 Time           CPU Iterations\r\n------------------------------------------------------------------------\r\nBM_FastSinCos2?Latency                21272 ns      21197 ns     137846\r\nBM_FastSinCos2?Latency                21226 ns      21197 ns     137846\r\nBM_FastSinCos2?Latency                21279 ns      21310 ns     137846\r\nBM_FastSinCos2?Latency                21262 ns      21197 ns     137846\r\nBM_FastSinCos2?Latency                21225 ns      21083 ns     137846\r\nBM_FastSinCos2?Latency                21809 ns      21537 ns     137846\r\nBM_FastSinCos2?Latency                22997 ns      21877 ns     137846\r\nBM_FastSinCos2?Latency                22022 ns      21423 ns     137846\r\nBM_FastSinCos2?Latency                21969 ns      21537 ns     137846\r\nBM_FastSinCos2?Latency                21644 ns      21423 ns     137846\r\nBM_FastSinCos2?Latency_mean           21671 ns      21378 ns     137846\r\nBM_FastSinCos2?Latency_median         21461 ns      21367 ns     137846\r\nBM_FastSinCos2?Latency_stddev           565 ns        234 ns     137846\r\nBM_FastSinCos2?Throughput              6172 ns       6042 ns     437073\r\nBM_FastSinCos2?Throughput              6055 ns       6042 ns     437073\r\nBM_FastSinCos2?Throughput              6055 ns       5970 ns     437073\r\nBM_FastSinCos2?Throughput              6049 ns       6042 ns     437073\r\nBM_FastSinCos2?Throughput              6003 ns       5970 ns     437073\r\nBM_FastSinCos2?Throughput              5993 ns       6006 ns     437073\r\nBM_FastSinCos2?Throughput              5917 ns       5899 ns     437073\r\nBM_FastSinCos2?Throughput              6083 ns       6042 ns     437073\r\nBM_FastSinCos2?Throughput              6017 ns       5970 ns     437073\r\nBM_FastSinCos2?Throughput              6207 ns       6149 ns     437073\r\nBM_FastSinCos2?Throughput_mean         6055 ns       6013 ns     437073\r\nBM_FastSinCos2?Throughput_median       6052 ns       6024 ns     437073\r\nBM_FastSinCos2?Throughput_stddev         85 ns         67 ns     437073\r\n```\r\nAfter:\r\n```\r\nRun on (4 X 2808 MHz CPU s)\r\n08/09/18 01:25:04\r\n----------------------------------------------------------------------------------\r\nBenchmark                                           Time           CPU Iterations\r\n----------------------------------------------------------------------------------\r\nBM_FastSinCos2?Latency                          20302 ns      19932 ns     141102\r\nBM_FastSinCos2?Latency                          19873 ns      19600 ns     141102\r\nBM_FastSinCos2?Latency                          19809 ns      19711 ns     141102\r\nBM_FastSinCos2?Latency                          19845 ns      19489 ns     141102\r\nBM_FastSinCos2?Latency                          19877 ns      19932 ns     141102\r\nBM_FastSinCos2?Latency                          19896 ns      19932 ns     141102\r\nBM_FastSinCos2?Latency                          19954 ns      19822 ns     141102\r\nBM_FastSinCos2?Latency                          19908 ns      19600 ns     141102\r\nBM_FastSinCos2?Latency                          19960 ns      19822 ns     141102\r\nBM_FastSinCos2?Latency                          19768 ns      19600 ns     141102\r\nBM_FastSinCos2?Latency_mean                     19919 ns      19744 ns     141102\r\nBM_FastSinCos2?Latency_median                   19886 ns      19766 ns     141102\r\nBM_FastSinCos2?Latency_stddev                     147 ns        165 ns     141102\r\nBM_FastSinCos2?WellPredictedLatency             19389 ns      19336 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19395 ns      19336 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19449 ns      19336 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19877 ns      19556 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19793 ns      19446 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19858 ns      19775 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19247 ns      19336 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19183 ns      18897 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19227 ns      19226 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency             19199 ns      19226 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency_mean        19462 ns      19347 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency_median      19392 ns      19336 ns     142222\r\nBM_FastSinCos2?WellPredictedLatency_stddev        278 ns        228 ns     142222\r\nBM_FastSinCos2?Throughput                        5673 ns       5648 ns     437073\r\nBM_FastSinCos2?Throughput                        5669 ns       5684 ns     437073\r\nBM_FastSinCos2?Throughput                        5692 ns       5684 ns     437073\r\nBM_FastSinCos2?Throughput                        5635 ns       5648 ns     437073\r\nBM_FastSinCos2?Throughput                        5632 ns       5613 ns     437073\r\nBM_FastSinCos2?Throughput                        5652 ns       5613 ns     437073\r\nBM_FastSinCos2?Throughput                        5636 ns       5648 ns     437073\r\nBM_FastSinCos2?Throughput                        5669 ns       5684 ns     437073\r\nBM_FastSinCos2?Throughput                        6006 ns       5756 ns     437073\r\nBM_FastSinCos2?Throughput                        5881 ns       5720 ns     437073\r\nBM_FastSinCos2?Throughput_mean                   5714 ns       5670 ns     437073\r\nBM_FastSinCos2?Throughput_median                 5669 ns       5666 ns     437073\r\nBM_FastSinCos2?Throughput_stddev                  126 ns         45 ns     437073\r\n```\r\nNot sure why the throughput benchmark became faster 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