From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: X-Spam-Checker-Version: SpamAssassin 3.4.0 (2014-02-07) on aws-us-west-2-korg-lkml-1.web.codeaurora.org Received: from mail.kernel.org (mail.kernel.org [198.145.29.99]) by smtp.lore.kernel.org (Postfix) with ESMTP id 7707CC433EF for ; Fri, 1 Oct 2021 09:16:56 +0000 (UTC) Received: from vger.kernel.org (vger.kernel.org [23.128.96.18]) by mail.kernel.org (Postfix) with ESMTP id 565A1610C8 for ; Fri, 1 Oct 2021 09:16:56 +0000 (UTC) Received: (majordomo@vger.kernel.org) by vger.kernel.org via listexpand id S231370AbhJAJSj (ORCPT ); Fri, 1 Oct 2021 05:18:39 -0400 Received: from mout.web.de ([217.72.192.78]:60293 "EHLO mout.web.de" rhost-flags-OK-OK-OK-OK) by vger.kernel.org with ESMTP id S230000AbhJAJSi (ORCPT ); Fri, 1 Oct 2021 05:18:38 -0400 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/simple; d=web.de; s=dbaedf251592; t=1633079810; bh=Ub489NJCdHYRn3myJlbvJbDD+oZboHmWvm7inzCe/fQ=; h=X-UI-Sender-Class:Subject:From:To:Cc:References:Date:In-Reply-To; b=L8q1TogSYRcXNp7VAXLo6mnRSNc01RlNAvQ/E0Ewg19H72zT0rwAx4pemdWOet6Nu 9NJKrT6vDqNyIpveperJSxS0F1wGyYlwLPc5fv2FWJVSVagaTp+7hjClxZveh4RK/A 8MQ1xYVdv6PcioMEOxvYzitra46BhZI6kkWnitqc= X-UI-Sender-Class: c548c8c5-30a9-4db5-a2e7-cb6cb037b8f9 Received: from Mini-von-Rene.fritz.box ([79.203.20.171]) by smtp.web.de (mrweb102 [213.165.67.124]) with ESMTPSA (Nemesis) id 0MGzXS-1ma6Hw2F4E-00Dn3j; Fri, 01 Oct 2021 11:16:50 +0200 Subject: [PATCH 5/9] test-mergesort: add unriffle mode From: =?UTF-8?Q?Ren=c3=a9_Scharfe?= To: Git List Cc: Junio C Hamano References: <943b1e01-465e-5def-a766-0adf667690de@web.de> Message-ID: Date: Fri, 1 Oct 2021 11:16:49 +0200 User-Agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.15; rv:78.0) Gecko/20100101 Thunderbird/78.14.0 MIME-Version: 1.0 In-Reply-To: <943b1e01-465e-5def-a766-0adf667690de@web.de> Content-Type: text/plain; charset=utf-8 Content-Language: en-US Content-Transfer-Encoding: quoted-printable X-Provags-ID: V03:K1:d8AJLR5iau+yiItNsMbCN408COKsWJ55H2u0Yw6ec43+J/yt74J c/oq8rVBhaLJ+ebuL8mYuZX0f28N5Xxup8M0cT1wAYULAAENMy+MoviG/7D0/oL22q/U99Y PctWNKV+IiWYz6ZJjrkGUYVoVLVgSumLwrsTEG2TaTNQxkA3npOOq9WErXxZLQiTRa6+l8a a7H+ZMhZLEHWXJ+KCWUBg== X-UI-Out-Filterresults: notjunk:1;V03:K0:QOpB3DYJFTo=:ZsPJxDtiubsYgCjzhA6e0b lm/mnZOrY6QiSCms4azrtDbZmhuaDaXJyNHndAf55RbplgjFNi+87l4XLbA8fvg2dNIdmlW2o Q1JB2+fvLWFHwMmq2yKt3Pr08NvdWG8kUn4/1U+H9IBCB7dsVJP5kPqKoV/d9wcZ9SNV/IRDj 6DbIm8k0Q9e57kB0Bqun6IU23bwaxNvcJs8NQhYRD3i289Dy0loi32PO2Lt4D/zYS4V/cS2qk J8j6/0s/rWV1NPMwFww/PqgdSeH52wL3HhnEuWGFmsI18I82AVh2xu4OqD9aGTebftFFFJOqD 1CUNno8lWPacoD76nUKjcDbizbbO4ugQ1+Zh8a6a+Oz34UE8sP6OgnaEd78erbC+Tt5u/8aki pE693IiZZQWRXFNFpGSWoKkAE7If+Q/b3/Y5ITsRuGmpro1eMyiC2uBS/A4IJHbUj9FYyYpCe dPYNkq7PLrWWN9zbby5ea6g4b8Fol+pyXUj2o2mwsoAoyAqj6qt0mJg7XfasQk7PrtvEJvQYv Z8/WFkH65emwOuFVih5YO7aMkJjmx4ELF3TKPCJ4dyrQEbUjVrgqmow76//2Ah0bZ9dKYb+KU SdY6l8Wiuxx9zWoEFBLQJ1LM5vHWg7mBzvo/UvnMpfIXOEAnxQuvhB9XHUMV/0vG1cwj5W5uO N733Hb6ob6PrXi7AzsjFsexgO4uvQFq0YKOlUjQjT60VevSUWMfI6/YGnQN8SnTt1wtS2FS8A NH8xuahOOTyVwvXCP/OG0TA4yAgauZmZBn1Z+9xlXOgKWknUwlRZbdkHBnBvMbWtSALw+xwUe vqYS+i+GUllFCEyiAyMhb/G3vWsFBok/zcFbzSUlUttQCX79h2ShKh3FmiFChlbcVAs478/tG gR6WYvS2lBu0Kn2vqD3/AGH94NWqUpJ3BYql3GRCZzq+4zf4poIFzGzRdWYO1Jr4te5K9oP/u U1z2oJWknu2s81KGNxP+UfFRLOQqJAMZLNzfjSQ+2I/Qt2U+y2fIIUevmFQvVB1e9yFglBPNm dOkksUqslN3H8OpUU14JU2CJVtxaev/q5QSBTeLBm0t5iBN+PWE7x9/mK7lUTcNBnSJEkjg9V ovp4RfbEX2LuJM= Precedence: bulk List-ID: X-Mailing-List: git@vger.kernel.org Add a mode that turns sorted items into adversarial input for mergesort. Do that by running mergesort in reverse and rearranging the items in such a way that each merge needs the maximum number of operations to undo it. To riffle is a card shuffling technique and involves splitting a deck into two and then to interleave them. A perfect riffle takes one card from each half in turn. That's similar to the most expensive merge, which has to take one item from each sublist in turn, which requires the maximum number of comparisons (n-1). So unriffle does that in reverse, i.e. it generates the first sublist out of the items at even indexes and the second sublist out of the items at odd indexes, without changing their order in any other way. Done recursively until we reach the trivial sublist length of one, this twists the list into an order that requires the maximum effort for mergesort to untangle. As a baseline, here are the rand distributions with the highest number of comparisons from "test-tool mergesort test": $ t/helper/test-tool mergesort test | awk ' NR > 1 && $1 !=3D "rand" {next} $7 > max[$3] {max[$3] =3D $7; line[$3] =3D $0} END {for (n in line) print line[n]} ' distribut mode n m get_next set_next compare ve= rdict rand copy 100 32 1184 700 569 OK rand reverse_1st_half 1023 256 16373 10230 8976 OK rand reverse_1st_half 1024 512 16384 10240 8993 OK rand dither 1025 64 18454 11275 9970 OK And here are the most expensive ones overall: $ t/helper/test-tool mergesort test | awk ' $7 > max[$3] {max[$3] =3D $7; line[$3] =3D $0} END {for (n in line) print line[n]} ' distribut mode n m get_next set_next compare ve= rdict stagger reverse 100 64 1184 700 580 OK sawtooth unriffle 1023 1024 16373 10230 9179 OK sawtooth unriffle 1024 1024 16384 10240 9217 OK stagger unriffle 1025 2048 18454 11275 10241 OK The sawtooth distribution with m>=3Dn generates a sorted list. The unriffle mode is designed to turn that into adversarial input for mergesort, and that checks out for n=3D1023 and n=3D1024, where it produce= s the list that requires the most comparisons. Item counts that are not powers of two have other winners, and that's because unriffle recursively splits lists into equal-sized halves, while llist_mergesort() splits them into the biggest power of two smaller than n and the rest, e.g. for n=3D1025 it sorts the first 1024 separately and finally merges them to the last item. So unriffle mode works as designed for the intended use case, but to consistently generate adversarial input for unbalanced merges we need something else. Signed-off-by: Ren=C3=A9 Scharfe =2D-- t/helper/test-mergesort.c | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) diff --git a/t/helper/test-mergesort.c b/t/helper/test-mergesort.c index 27ba252d4a..d71ef568f3 100644 =2D-- a/t/helper/test-mergesort.c +++ b/t/helper/test-mergesort.c @@ -150,6 +150,34 @@ static void mode_dither(int *arr, int n) arr[i] +=3D i % 5; } +static void unriffle(int *arr, int n, int *tmp) +{ + int i, j; + COPY_ARRAY(tmp, arr, n); + for (i =3D j =3D 0; i < n; i +=3D 2) + arr[j++] =3D tmp[i]; + for (i =3D 1; i < n; i +=3D 2) + arr[j++] =3D tmp[i]; +} + +static void unriffle_recursively(int *arr, int n, int *tmp) +{ + if (n > 1) { + int half =3D n / 2; + unriffle(arr, n, tmp); + unriffle_recursively(arr, half, tmp); + unriffle_recursively(arr + half, n - half, tmp); + } +} + +static void mode_unriffle(int *arr, int n) +{ + int *tmp; + ALLOC_ARRAY(tmp, n); + unriffle_recursively(arr, n, tmp); + free(tmp); +} + #define MODE(name) { #name, mode_##name } static struct mode { @@ -162,6 +190,7 @@ static struct mode { MODE(reverse_2nd_half), MODE(sort), MODE(dither), + MODE(unriffle), }; static const struct mode *get_mode_by_name(const char *name) =2D- 2.33.0