WIP: Save agent roles integration work before CHORUS rebrand

- Agent roles and coordination features
- Chat API integration testing
- New configuration and workspace management

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <noreply@anthropic.com>
This commit is contained in:
anthonyrawlins
2025-08-01 02:21:11 +10:00
parent 81b473d48f
commit 5978a0b8f5
3713 changed files with 1103925 additions and 59 deletions

27
vendor/golang.org/x/exp/LICENSE generated vendored Normal file
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@@ -0,0 +1,27 @@
Copyright (c) 2009 The Go Authors. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above
copyright notice, this list of conditions and the following disclaimer
in the documentation and/or other materials provided with the
distribution.
* Neither the name of Google Inc. nor the names of its
contributors may be used to endorse or promote products derived from
this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

22
vendor/golang.org/x/exp/PATENTS generated vendored Normal file
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Additional IP Rights Grant (Patents)
"This implementation" means the copyrightable works distributed by
Google as part of the Go project.
Google hereby grants to You a perpetual, worldwide, non-exclusive,
no-charge, royalty-free, irrevocable (except as stated in this section)
patent license to make, have made, use, offer to sell, sell, import,
transfer and otherwise run, modify and propagate the contents of this
implementation of Go, where such license applies only to those patent
claims, both currently owned or controlled by Google and acquired in
the future, licensable by Google that are necessarily infringed by this
implementation of Go. This grant does not include claims that would be
infringed only as a consequence of further modification of this
implementation. If you or your agent or exclusive licensee institute or
order or agree to the institution of patent litigation against any
entity (including a cross-claim or counterclaim in a lawsuit) alleging
that this implementation of Go or any code incorporated within this
implementation of Go constitutes direct or contributory patent
infringement, or inducement of patent infringement, then any patent
rights granted to you under this License for this implementation of Go
shall terminate as of the date such litigation is filed.

50
vendor/golang.org/x/exp/constraints/constraints.go generated vendored Normal file
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// Copyright 2021 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// Package constraints defines a set of useful constraints to be used
// with type parameters.
package constraints
// Signed is a constraint that permits any signed integer type.
// If future releases of Go add new predeclared signed integer types,
// this constraint will be modified to include them.
type Signed interface {
~int | ~int8 | ~int16 | ~int32 | ~int64
}
// Unsigned is a constraint that permits any unsigned integer type.
// If future releases of Go add new predeclared unsigned integer types,
// this constraint will be modified to include them.
type Unsigned interface {
~uint | ~uint8 | ~uint16 | ~uint32 | ~uint64 | ~uintptr
}
// Integer is a constraint that permits any integer type.
// If future releases of Go add new predeclared integer types,
// this constraint will be modified to include them.
type Integer interface {
Signed | Unsigned
}
// Float is a constraint that permits any floating-point type.
// If future releases of Go add new predeclared floating-point types,
// this constraint will be modified to include them.
type Float interface {
~float32 | ~float64
}
// Complex is a constraint that permits any complex numeric type.
// If future releases of Go add new predeclared complex numeric types,
// this constraint will be modified to include them.
type Complex interface {
~complex64 | ~complex128
}
// Ordered is a constraint that permits any ordered type: any type
// that supports the operators < <= >= >.
// If future releases of Go add new ordered types,
// this constraint will be modified to include them.
type Ordered interface {
Integer | Float | ~string
}

221
vendor/golang.org/x/exp/rand/exp.go generated vendored Normal file
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// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package rand
import (
"math"
)
/*
* Exponential distribution
*
* See "The Ziggurat Method for Generating Random Variables"
* (Marsaglia & Tsang, 2000)
* http://www.jstatsoft.org/v05/i08/paper [pdf]
*/
const (
re = 7.69711747013104972
)
// ExpFloat64 returns an exponentially distributed float64 in the range
// (0, +math.MaxFloat64] with an exponential distribution whose rate parameter
// (lambda) is 1 and whose mean is 1/lambda (1).
// To produce a distribution with a different rate parameter,
// callers can adjust the output using:
//
// sample = ExpFloat64() / desiredRateParameter
func (r *Rand) ExpFloat64() float64 {
for {
j := r.Uint32()
i := j & 0xFF
x := float64(j) * float64(we[i])
if j < ke[i] {
return x
}
if i == 0 {
return re - math.Log(r.Float64())
}
if fe[i]+float32(r.Float64())*(fe[i-1]-fe[i]) < float32(math.Exp(-x)) {
return x
}
}
}
var ke = [256]uint32{
0xe290a139, 0x0, 0x9beadebc, 0xc377ac71, 0xd4ddb990,
0xde893fb8, 0xe4a8e87c, 0xe8dff16a, 0xebf2deab, 0xee49a6e8,
0xf0204efd, 0xf19bdb8e, 0xf2d458bb, 0xf3da104b, 0xf4b86d78,
0xf577ad8a, 0xf61de83d, 0xf6afb784, 0xf730a573, 0xf7a37651,
0xf80a5bb6, 0xf867189d, 0xf8bb1b4f, 0xf9079062, 0xf94d70ca,
0xf98d8c7d, 0xf9c8928a, 0xf9ff175b, 0xfa319996, 0xfa6085f8,
0xfa8c3a62, 0xfab5084e, 0xfadb36c8, 0xfaff0410, 0xfb20a6ea,
0xfb404fb4, 0xfb5e2951, 0xfb7a59e9, 0xfb95038c, 0xfbae44ba,
0xfbc638d8, 0xfbdcf892, 0xfbf29a30, 0xfc0731df, 0xfc1ad1ed,
0xfc2d8b02, 0xfc3f6c4d, 0xfc5083ac, 0xfc60ddd1, 0xfc708662,
0xfc7f8810, 0xfc8decb4, 0xfc9bbd62, 0xfca9027c, 0xfcb5c3c3,
0xfcc20864, 0xfccdd70a, 0xfcd935e3, 0xfce42ab0, 0xfceebace,
0xfcf8eb3b, 0xfd02c0a0, 0xfd0c3f59, 0xfd156b7b, 0xfd1e48d6,
0xfd26daff, 0xfd2f2552, 0xfd372af7, 0xfd3eeee5, 0xfd4673e7,
0xfd4dbc9e, 0xfd54cb85, 0xfd5ba2f2, 0xfd62451b, 0xfd68b415,
0xfd6ef1da, 0xfd750047, 0xfd7ae120, 0xfd809612, 0xfd8620b4,
0xfd8b8285, 0xfd90bcf5, 0xfd95d15e, 0xfd9ac10b, 0xfd9f8d36,
0xfda43708, 0xfda8bf9e, 0xfdad2806, 0xfdb17141, 0xfdb59c46,
0xfdb9a9fd, 0xfdbd9b46, 0xfdc170f6, 0xfdc52bd8, 0xfdc8ccac,
0xfdcc542d, 0xfdcfc30b, 0xfdd319ef, 0xfdd6597a, 0xfdd98245,
0xfddc94e5, 0xfddf91e6, 0xfde279ce, 0xfde54d1f, 0xfde80c52,
0xfdeab7de, 0xfded5034, 0xfdefd5be, 0xfdf248e3, 0xfdf4aa06,
0xfdf6f984, 0xfdf937b6, 0xfdfb64f4, 0xfdfd818d, 0xfdff8dd0,
0xfe018a08, 0xfe03767a, 0xfe05536c, 0xfe07211c, 0xfe08dfc9,
0xfe0a8fab, 0xfe0c30fb, 0xfe0dc3ec, 0xfe0f48b1, 0xfe10bf76,
0xfe122869, 0xfe1383b4, 0xfe14d17c, 0xfe1611e7, 0xfe174516,
0xfe186b2a, 0xfe19843e, 0xfe1a9070, 0xfe1b8fd6, 0xfe1c8289,
0xfe1d689b, 0xfe1e4220, 0xfe1f0f26, 0xfe1fcfbc, 0xfe2083ed,
0xfe212bc3, 0xfe21c745, 0xfe225678, 0xfe22d95f, 0xfe234ffb,
0xfe23ba4a, 0xfe241849, 0xfe2469f2, 0xfe24af3c, 0xfe24e81e,
0xfe25148b, 0xfe253474, 0xfe2547c7, 0xfe254e70, 0xfe25485a,
0xfe25356a, 0xfe251586, 0xfe24e88f, 0xfe24ae64, 0xfe2466e1,
0xfe2411df, 0xfe23af34, 0xfe233eb4, 0xfe22c02c, 0xfe22336b,
0xfe219838, 0xfe20ee58, 0xfe20358c, 0xfe1f6d92, 0xfe1e9621,
0xfe1daef0, 0xfe1cb7ac, 0xfe1bb002, 0xfe1a9798, 0xfe196e0d,
0xfe1832fd, 0xfe16e5fe, 0xfe15869d, 0xfe141464, 0xfe128ed3,
0xfe10f565, 0xfe0f478c, 0xfe0d84b1, 0xfe0bac36, 0xfe09bd73,
0xfe07b7b5, 0xfe059a40, 0xfe03644c, 0xfe011504, 0xfdfeab88,
0xfdfc26e9, 0xfdf98629, 0xfdf6c83b, 0xfdf3ec01, 0xfdf0f04a,
0xfdedd3d1, 0xfdea953d, 0xfde7331e, 0xfde3abe9, 0xfddffdfb,
0xfddc2791, 0xfdd826cd, 0xfdd3f9a8, 0xfdcf9dfc, 0xfdcb1176,
0xfdc65198, 0xfdc15bb3, 0xfdbc2ce2, 0xfdb6c206, 0xfdb117be,
0xfdab2a63, 0xfda4f5fd, 0xfd9e7640, 0xfd97a67a, 0xfd908192,
0xfd8901f2, 0xfd812182, 0xfd78d98e, 0xfd7022bb, 0xfd66f4ed,
0xfd5d4732, 0xfd530f9c, 0xfd48432b, 0xfd3cd59a, 0xfd30b936,
0xfd23dea4, 0xfd16349e, 0xfd07a7a3, 0xfcf8219b, 0xfce7895b,
0xfcd5c220, 0xfcc2aadb, 0xfcae1d5e, 0xfc97ed4e, 0xfc7fe6d4,
0xfc65ccf3, 0xfc495762, 0xfc2a2fc8, 0xfc07ee19, 0xfbe213c1,
0xfbb8051a, 0xfb890078, 0xfb5411a5, 0xfb180005, 0xfad33482,
0xfa839276, 0xfa263b32, 0xf9b72d1c, 0xf930a1a2, 0xf889f023,
0xf7b577d2, 0xf69c650c, 0xf51530f0, 0xf2cb0e3c, 0xeeefb15d,
0xe6da6ecf,
}
var we = [256]float32{
2.0249555e-09, 1.486674e-11, 2.4409617e-11, 3.1968806e-11,
3.844677e-11, 4.4228204e-11, 4.9516443e-11, 5.443359e-11,
5.905944e-11, 6.344942e-11, 6.7643814e-11, 7.1672945e-11,
7.556032e-11, 7.932458e-11, 8.298079e-11, 8.654132e-11,
9.0016515e-11, 9.3415074e-11, 9.674443e-11, 1.0001099e-10,
1.03220314e-10, 1.06377254e-10, 1.09486115e-10, 1.1255068e-10,
1.1557435e-10, 1.1856015e-10, 1.2151083e-10, 1.2442886e-10,
1.2731648e-10, 1.3017575e-10, 1.3300853e-10, 1.3581657e-10,
1.3860142e-10, 1.4136457e-10, 1.4410738e-10, 1.4683108e-10,
1.4953687e-10, 1.5222583e-10, 1.54899e-10, 1.5755733e-10,
1.6020171e-10, 1.6283301e-10, 1.6545203e-10, 1.6805951e-10,
1.7065617e-10, 1.732427e-10, 1.7581973e-10, 1.7838787e-10,
1.8094774e-10, 1.8349985e-10, 1.8604476e-10, 1.8858298e-10,
1.9111498e-10, 1.9364126e-10, 1.9616223e-10, 1.9867835e-10,
2.0119004e-10, 2.0369768e-10, 2.0620168e-10, 2.087024e-10,
2.1120022e-10, 2.136955e-10, 2.1618855e-10, 2.1867974e-10,
2.2116936e-10, 2.2365775e-10, 2.261452e-10, 2.2863202e-10,
2.311185e-10, 2.3360494e-10, 2.360916e-10, 2.3857874e-10,
2.4106667e-10, 2.4355562e-10, 2.4604588e-10, 2.485377e-10,
2.5103128e-10, 2.5352695e-10, 2.560249e-10, 2.585254e-10,
2.6102867e-10, 2.6353494e-10, 2.6604446e-10, 2.6855745e-10,
2.7107416e-10, 2.7359479e-10, 2.761196e-10, 2.7864877e-10,
2.8118255e-10, 2.8372119e-10, 2.8626485e-10, 2.888138e-10,
2.9136826e-10, 2.939284e-10, 2.9649452e-10, 2.9906677e-10,
3.016454e-10, 3.0423064e-10, 3.0682268e-10, 3.0942177e-10,
3.1202813e-10, 3.1464195e-10, 3.1726352e-10, 3.19893e-10,
3.2253064e-10, 3.251767e-10, 3.2783135e-10, 3.3049485e-10,
3.3316744e-10, 3.3584938e-10, 3.3854083e-10, 3.4124212e-10,
3.4395342e-10, 3.46675e-10, 3.4940711e-10, 3.5215003e-10,
3.5490397e-10, 3.5766917e-10, 3.6044595e-10, 3.6323455e-10,
3.660352e-10, 3.6884823e-10, 3.7167386e-10, 3.745124e-10,
3.773641e-10, 3.802293e-10, 3.8310827e-10, 3.860013e-10,
3.8890866e-10, 3.918307e-10, 3.9476775e-10, 3.9772008e-10,
4.0068804e-10, 4.0367196e-10, 4.0667217e-10, 4.09689e-10,
4.1272286e-10, 4.1577405e-10, 4.1884296e-10, 4.2192994e-10,
4.250354e-10, 4.281597e-10, 4.313033e-10, 4.3446652e-10,
4.3764986e-10, 4.408537e-10, 4.4407847e-10, 4.4732465e-10,
4.5059267e-10, 4.5388301e-10, 4.571962e-10, 4.6053267e-10,
4.6389292e-10, 4.6727755e-10, 4.70687e-10, 4.741219e-10,
4.7758275e-10, 4.810702e-10, 4.845848e-10, 4.8812715e-10,
4.9169796e-10, 4.9529775e-10, 4.989273e-10, 5.0258725e-10,
5.0627835e-10, 5.100013e-10, 5.1375687e-10, 5.1754584e-10,
5.21369e-10, 5.2522725e-10, 5.2912136e-10, 5.330522e-10,
5.370208e-10, 5.4102806e-10, 5.45075e-10, 5.491625e-10,
5.532918e-10, 5.5746385e-10, 5.616799e-10, 5.6594107e-10,
5.7024857e-10, 5.746037e-10, 5.7900773e-10, 5.834621e-10,
5.8796823e-10, 5.925276e-10, 5.971417e-10, 6.018122e-10,
6.065408e-10, 6.113292e-10, 6.1617933e-10, 6.2109295e-10,
6.260722e-10, 6.3111916e-10, 6.3623595e-10, 6.4142497e-10,
6.4668854e-10, 6.5202926e-10, 6.5744976e-10, 6.6295286e-10,
6.6854156e-10, 6.742188e-10, 6.79988e-10, 6.858526e-10,
6.9181616e-10, 6.978826e-10, 7.04056e-10, 7.103407e-10,
7.167412e-10, 7.2326256e-10, 7.2990985e-10, 7.366886e-10,
7.4360473e-10, 7.5066453e-10, 7.5787476e-10, 7.6524265e-10,
7.7277595e-10, 7.80483e-10, 7.883728e-10, 7.9645507e-10,
8.047402e-10, 8.1323964e-10, 8.219657e-10, 8.309319e-10,
8.401528e-10, 8.496445e-10, 8.594247e-10, 8.6951274e-10,
8.799301e-10, 8.9070046e-10, 9.018503e-10, 9.134092e-10,
9.254101e-10, 9.378904e-10, 9.508923e-10, 9.644638e-10,
9.786603e-10, 9.935448e-10, 1.0091913e-09, 1.025686e-09,
1.0431306e-09, 1.0616465e-09, 1.08138e-09, 1.1025096e-09,
1.1252564e-09, 1.1498986e-09, 1.1767932e-09, 1.206409e-09,
1.2393786e-09, 1.276585e-09, 1.3193139e-09, 1.3695435e-09,
1.4305498e-09, 1.508365e-09, 1.6160854e-09, 1.7921248e-09,
}
var fe = [256]float32{
1, 0.9381437, 0.90046996, 0.87170434, 0.8477855, 0.8269933,
0.8084217, 0.7915276, 0.77595687, 0.7614634, 0.7478686,
0.7350381, 0.72286767, 0.71127474, 0.70019263, 0.6895665,
0.67935055, 0.6695063, 0.66000086, 0.65080583, 0.6418967,
0.63325197, 0.6248527, 0.6166822, 0.60872537, 0.60096896,
0.5934009, 0.58601034, 0.5787874, 0.57172304, 0.5648092,
0.5580383, 0.5514034, 0.5448982, 0.5385169, 0.53225386,
0.5261042, 0.52006316, 0.5141264, 0.50828975, 0.5025495,
0.496902, 0.49134386, 0.485872, 0.48048335, 0.4751752,
0.46994483, 0.46478975, 0.45970762, 0.45469615, 0.44975325,
0.44487688, 0.44006512, 0.43531612, 0.43062815, 0.42599955,
0.42142874, 0.4169142, 0.41245446, 0.40804818, 0.403694,
0.3993907, 0.39513698, 0.39093173, 0.38677382, 0.38266218,
0.37859577, 0.37457356, 0.37059465, 0.3666581, 0.362763,
0.35890847, 0.35509375, 0.351318, 0.3475805, 0.34388044,
0.34021714, 0.3365899, 0.33299807, 0.32944095, 0.32591796,
0.3224285, 0.3189719, 0.31554767, 0.31215525, 0.30879408,
0.3054636, 0.3021634, 0.29889292, 0.2956517, 0.29243928,
0.28925523, 0.28609908, 0.28297043, 0.27986884, 0.27679393,
0.2737453, 0.2707226, 0.2677254, 0.26475343, 0.26180625,
0.25888354, 0.25598502, 0.2531103, 0.25025907, 0.24743107,
0.24462597, 0.24184346, 0.23908329, 0.23634516, 0.23362878,
0.23093392, 0.2282603, 0.22560766, 0.22297576, 0.22036438,
0.21777324, 0.21520215, 0.21265087, 0.21011916, 0.20760682,
0.20511365, 0.20263945, 0.20018397, 0.19774707, 0.19532852,
0.19292815, 0.19054577, 0.1881812, 0.18583426, 0.18350479,
0.1811926, 0.17889754, 0.17661946, 0.17435817, 0.17211354,
0.1698854, 0.16767362, 0.16547804, 0.16329853, 0.16113494,
0.15898713, 0.15685499, 0.15473837, 0.15263714, 0.15055119,
0.14848037, 0.14642459, 0.14438373, 0.14235765, 0.14034624,
0.13834943, 0.13636707, 0.13439907, 0.13244532, 0.13050574,
0.1285802, 0.12666863, 0.12477092, 0.12288698, 0.12101672,
0.119160056, 0.1173169, 0.115487166, 0.11367077, 0.11186763,
0.11007768, 0.10830083, 0.10653701, 0.10478614, 0.10304816,
0.101323, 0.09961058, 0.09791085, 0.09622374, 0.09454919,
0.09288713, 0.091237515, 0.08960028, 0.087975375, 0.08636274,
0.08476233, 0.083174095, 0.081597984, 0.08003395, 0.07848195,
0.076941945, 0.07541389, 0.07389775, 0.072393484, 0.07090106,
0.069420435, 0.06795159, 0.066494495, 0.06504912, 0.063615434,
0.062193416, 0.060783047, 0.059384305, 0.057997175,
0.05662164, 0.05525769, 0.053905312, 0.052564494, 0.051235236,
0.049917534, 0.048611384, 0.047316793, 0.046033762, 0.0447623,
0.043502413, 0.042254124, 0.041017443, 0.039792392,
0.038578995, 0.037377283, 0.036187284, 0.035009038,
0.033842582, 0.032687962, 0.031545233, 0.030414443, 0.02929566,
0.02818895, 0.027094385, 0.026012046, 0.024942026, 0.023884421,
0.022839336, 0.021806888, 0.020787204, 0.019780423, 0.0187867,
0.0178062, 0.016839107, 0.015885621, 0.014945968, 0.014020392,
0.013109165, 0.012212592, 0.011331013, 0.01046481, 0.009614414,
0.008780315, 0.007963077, 0.0071633533, 0.006381906,
0.0056196423, 0.0048776558, 0.004157295, 0.0034602648,
0.0027887989, 0.0021459677, 0.0015362998, 0.0009672693,
0.00045413437,
}

156
vendor/golang.org/x/exp/rand/normal.go generated vendored Normal file
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// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package rand
import (
"math"
)
/*
* Normal distribution
*
* See "The Ziggurat Method for Generating Random Variables"
* (Marsaglia & Tsang, 2000)
* http://www.jstatsoft.org/v05/i08/paper [pdf]
*/
const (
rn = 3.442619855899
)
func absInt32(i int32) uint32 {
if i < 0 {
return uint32(-i)
}
return uint32(i)
}
// NormFloat64 returns a normally distributed float64 in the range
// [-math.MaxFloat64, +math.MaxFloat64] with
// standard normal distribution (mean = 0, stddev = 1).
// To produce a different normal distribution, callers can
// adjust the output using:
//
// sample = NormFloat64() * desiredStdDev + desiredMean
func (r *Rand) NormFloat64() float64 {
for {
j := int32(r.Uint32()) // Possibly negative
i := j & 0x7F
x := float64(j) * float64(wn[i])
if absInt32(j) < kn[i] {
// This case should be hit better than 99% of the time.
return x
}
if i == 0 {
// This extra work is only required for the base strip.
for {
x = -math.Log(r.Float64()) * (1.0 / rn)
y := -math.Log(r.Float64())
if y+y >= x*x {
break
}
}
if j > 0 {
return rn + x
}
return -rn - x
}
if fn[i]+float32(r.Float64())*(fn[i-1]-fn[i]) < float32(math.Exp(-.5*x*x)) {
return x
}
}
}
var kn = [128]uint32{
0x76ad2212, 0x0, 0x600f1b53, 0x6ce447a6, 0x725b46a2,
0x7560051d, 0x774921eb, 0x789a25bd, 0x799045c3, 0x7a4bce5d,
0x7adf629f, 0x7b5682a6, 0x7bb8a8c6, 0x7c0ae722, 0x7c50cce7,
0x7c8cec5b, 0x7cc12cd6, 0x7ceefed2, 0x7d177e0b, 0x7d3b8883,
0x7d5bce6c, 0x7d78dd64, 0x7d932886, 0x7dab0e57, 0x7dc0dd30,
0x7dd4d688, 0x7de73185, 0x7df81cea, 0x7e07c0a3, 0x7e163efa,
0x7e23b587, 0x7e303dfd, 0x7e3beec2, 0x7e46db77, 0x7e51155d,
0x7e5aabb3, 0x7e63abf7, 0x7e6c222c, 0x7e741906, 0x7e7b9a18,
0x7e82adfa, 0x7e895c63, 0x7e8fac4b, 0x7e95a3fb, 0x7e9b4924,
0x7ea0a0ef, 0x7ea5b00d, 0x7eaa7ac3, 0x7eaf04f3, 0x7eb3522a,
0x7eb765a5, 0x7ebb4259, 0x7ebeeafd, 0x7ec2620a, 0x7ec5a9c4,
0x7ec8c441, 0x7ecbb365, 0x7ece78ed, 0x7ed11671, 0x7ed38d62,
0x7ed5df12, 0x7ed80cb4, 0x7eda175c, 0x7edc0005, 0x7eddc78e,
0x7edf6ebf, 0x7ee0f647, 0x7ee25ebe, 0x7ee3a8a9, 0x7ee4d473,
0x7ee5e276, 0x7ee6d2f5, 0x7ee7a620, 0x7ee85c10, 0x7ee8f4cd,
0x7ee97047, 0x7ee9ce59, 0x7eea0eca, 0x7eea3147, 0x7eea3568,
0x7eea1aab, 0x7ee9e071, 0x7ee98602, 0x7ee90a88, 0x7ee86d08,
0x7ee7ac6a, 0x7ee6c769, 0x7ee5bc9c, 0x7ee48a67, 0x7ee32efc,
0x7ee1a857, 0x7edff42f, 0x7ede0ffa, 0x7edbf8d9, 0x7ed9ab94,
0x7ed7248d, 0x7ed45fae, 0x7ed1585c, 0x7ece095f, 0x7eca6ccb,
0x7ec67be2, 0x7ec22eee, 0x7ebd7d1a, 0x7eb85c35, 0x7eb2c075,
0x7eac9c20, 0x7ea5df27, 0x7e9e769f, 0x7e964c16, 0x7e8d44ba,
0x7e834033, 0x7e781728, 0x7e6b9933, 0x7e5d8a1a, 0x7e4d9ded,
0x7e3b737a, 0x7e268c2f, 0x7e0e3ff5, 0x7df1aa5d, 0x7dcf8c72,
0x7da61a1e, 0x7d72a0fb, 0x7d30e097, 0x7cd9b4ab, 0x7c600f1a,
0x7ba90bdc, 0x7a722176, 0x77d664e5,
}
var wn = [128]float32{
1.7290405e-09, 1.2680929e-10, 1.6897518e-10, 1.9862688e-10,
2.2232431e-10, 2.4244937e-10, 2.601613e-10, 2.7611988e-10,
2.9073963e-10, 3.042997e-10, 3.1699796e-10, 3.289802e-10,
3.4035738e-10, 3.5121603e-10, 3.616251e-10, 3.7164058e-10,
3.8130857e-10, 3.9066758e-10, 3.9975012e-10, 4.08584e-10,
4.1719309e-10, 4.2559822e-10, 4.338176e-10, 4.418672e-10,
4.497613e-10, 4.5751258e-10, 4.651324e-10, 4.7263105e-10,
4.8001775e-10, 4.87301e-10, 4.944885e-10, 5.015873e-10,
5.0860405e-10, 5.155446e-10, 5.2241467e-10, 5.2921934e-10,
5.359635e-10, 5.426517e-10, 5.4928817e-10, 5.5587696e-10,
5.624219e-10, 5.6892646e-10, 5.753941e-10, 5.818282e-10,
5.882317e-10, 5.946077e-10, 6.00959e-10, 6.072884e-10,
6.135985e-10, 6.19892e-10, 6.2617134e-10, 6.3243905e-10,
6.386974e-10, 6.449488e-10, 6.511956e-10, 6.5744005e-10,
6.6368433e-10, 6.699307e-10, 6.7618144e-10, 6.824387e-10,
6.8870465e-10, 6.949815e-10, 7.012715e-10, 7.075768e-10,
7.1389966e-10, 7.202424e-10, 7.266073e-10, 7.329966e-10,
7.394128e-10, 7.4585826e-10, 7.5233547e-10, 7.58847e-10,
7.653954e-10, 7.719835e-10, 7.7861395e-10, 7.852897e-10,
7.920138e-10, 7.987892e-10, 8.0561924e-10, 8.125073e-10,
8.194569e-10, 8.2647167e-10, 8.3355556e-10, 8.407127e-10,
8.479473e-10, 8.55264e-10, 8.6266755e-10, 8.7016316e-10,
8.777562e-10, 8.8545243e-10, 8.932582e-10, 9.0117996e-10,
9.09225e-10, 9.174008e-10, 9.2571584e-10, 9.341788e-10,
9.427997e-10, 9.515889e-10, 9.605579e-10, 9.697193e-10,
9.790869e-10, 9.88676e-10, 9.985036e-10, 1.0085882e-09,
1.0189509e-09, 1.0296151e-09, 1.0406069e-09, 1.0519566e-09,
1.063698e-09, 1.0758702e-09, 1.0885183e-09, 1.1016947e-09,
1.1154611e-09, 1.1298902e-09, 1.1450696e-09, 1.1611052e-09,
1.1781276e-09, 1.1962995e-09, 1.2158287e-09, 1.2369856e-09,
1.2601323e-09, 1.2857697e-09, 1.3146202e-09, 1.347784e-09,
1.3870636e-09, 1.4357403e-09, 1.5008659e-09, 1.6030948e-09,
}
var fn = [128]float32{
1, 0.9635997, 0.9362827, 0.9130436, 0.89228165, 0.87324303,
0.8555006, 0.8387836, 0.8229072, 0.8077383, 0.793177,
0.7791461, 0.7655842, 0.7524416, 0.73967725, 0.7272569,
0.7151515, 0.7033361, 0.69178915, 0.68049186, 0.6694277,
0.658582, 0.6479418, 0.63749546, 0.6272325, 0.6171434,
0.6072195, 0.5974532, 0.58783704, 0.5783647, 0.56903,
0.5598274, 0.5507518, 0.54179835, 0.5329627, 0.52424055,
0.5156282, 0.50712204, 0.49871865, 0.49041483, 0.48220766,
0.4740943, 0.46607214, 0.4581387, 0.45029163, 0.44252872,
0.43484783, 0.427247, 0.41972435, 0.41227803, 0.40490642,
0.39760786, 0.3903808, 0.3832238, 0.37613547, 0.36911446,
0.3621595, 0.35526937, 0.34844297, 0.34167916, 0.33497685,
0.3283351, 0.3217529, 0.3152294, 0.30876362, 0.30235484,
0.29600215, 0.28970486, 0.2834622, 0.2772735, 0.27113807,
0.2650553, 0.25902456, 0.2530453, 0.24711695, 0.241239,
0.23541094, 0.22963232, 0.2239027, 0.21822165, 0.21258877,
0.20700371, 0.20146611, 0.19597565, 0.19053204, 0.18513499,
0.17978427, 0.17447963, 0.1692209, 0.16400786, 0.15884037,
0.15371831, 0.14864157, 0.14361008, 0.13862377, 0.13368265,
0.12878671, 0.12393598, 0.119130544, 0.11437051, 0.10965602,
0.104987256, 0.10036444, 0.095787846, 0.0912578, 0.08677467,
0.0823389, 0.077950984, 0.073611505, 0.06932112, 0.06508058,
0.06089077, 0.056752663, 0.0526674, 0.048636295, 0.044660863,
0.040742867, 0.03688439, 0.033087887, 0.029356318,
0.025693292, 0.022103304, 0.018592102, 0.015167298,
0.011839478, 0.008624485, 0.005548995, 0.0026696292,
}

372
vendor/golang.org/x/exp/rand/rand.go generated vendored Normal file
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// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// Package rand implements pseudo-random number generators.
//
// Random numbers are generated by a Source. Top-level functions, such as
// Float64 and Int, use a default shared Source that produces a deterministic
// sequence of values each time a program is run. Use the Seed function to
// initialize the default Source if different behavior is required for each run.
// The default Source, a LockedSource, is safe for concurrent use by multiple
// goroutines, but Sources created by NewSource are not. However, Sources are small
// and it is reasonable to have a separate Source for each goroutine, seeded
// differently, to avoid locking.
//
// For random numbers suitable for security-sensitive work, see the crypto/rand
// package.
package rand
import "sync"
// A Source represents a source of uniformly-distributed
// pseudo-random int64 values in the range [0, 1<<64).
type Source interface {
Uint64() uint64
Seed(seed uint64)
}
// NewSource returns a new pseudo-random Source seeded with the given value.
func NewSource(seed uint64) Source {
var rng PCGSource
rng.Seed(seed)
return &rng
}
// A Rand is a source of random numbers.
type Rand struct {
src Source
// readVal contains remainder of 64-bit integer used for bytes
// generation during most recent Read call.
// It is saved so next Read call can start where the previous
// one finished.
readVal uint64
// readPos indicates the number of low-order bytes of readVal
// that are still valid.
readPos int8
}
// New returns a new Rand that uses random values from src
// to generate other random values.
func New(src Source) *Rand {
return &Rand{src: src}
}
// Seed uses the provided seed value to initialize the generator to a deterministic state.
// Seed should not be called concurrently with any other Rand method.
func (r *Rand) Seed(seed uint64) {
if lk, ok := r.src.(*LockedSource); ok {
lk.seedPos(seed, &r.readPos)
return
}
r.src.Seed(seed)
r.readPos = 0
}
// Uint64 returns a pseudo-random 64-bit integer as a uint64.
func (r *Rand) Uint64() uint64 { return r.src.Uint64() }
// Int63 returns a non-negative pseudo-random 63-bit integer as an int64.
func (r *Rand) Int63() int64 { return int64(r.src.Uint64() &^ (1 << 63)) }
// Uint32 returns a pseudo-random 32-bit value as a uint32.
func (r *Rand) Uint32() uint32 { return uint32(r.Uint64() >> 32) }
// Int31 returns a non-negative pseudo-random 31-bit integer as an int32.
func (r *Rand) Int31() int32 { return int32(r.Uint64() >> 33) }
// Int returns a non-negative pseudo-random int.
func (r *Rand) Int() int {
u := uint(r.Uint64())
return int(u << 1 >> 1) // clear sign bit.
}
const maxUint64 = (1 << 64) - 1
// Uint64n returns, as a uint64, a pseudo-random number in [0,n).
// It is guaranteed more uniform than taking a Source value mod n
// for any n that is not a power of 2.
func (r *Rand) Uint64n(n uint64) uint64 {
if n&(n-1) == 0 { // n is power of two, can mask
if n == 0 {
panic("invalid argument to Uint64n")
}
return r.Uint64() & (n - 1)
}
// If n does not divide v, to avoid bias we must not use
// a v that is within maxUint64%n of the top of the range.
v := r.Uint64()
if v > maxUint64-n { // Fast check.
ceiling := maxUint64 - maxUint64%n
for v >= ceiling {
v = r.Uint64()
}
}
return v % n
}
// Int63n returns, as an int64, a non-negative pseudo-random number in [0,n).
// It panics if n <= 0.
func (r *Rand) Int63n(n int64) int64 {
if n <= 0 {
panic("invalid argument to Int63n")
}
return int64(r.Uint64n(uint64(n)))
}
// Int31n returns, as an int32, a non-negative pseudo-random number in [0,n).
// It panics if n <= 0.
func (r *Rand) Int31n(n int32) int32 {
if n <= 0 {
panic("invalid argument to Int31n")
}
// TODO: Avoid some 64-bit ops to make it more efficient on 32-bit machines.
return int32(r.Uint64n(uint64(n)))
}
// Intn returns, as an int, a non-negative pseudo-random number in [0,n).
// It panics if n <= 0.
func (r *Rand) Intn(n int) int {
if n <= 0 {
panic("invalid argument to Intn")
}
// TODO: Avoid some 64-bit ops to make it more efficient on 32-bit machines.
return int(r.Uint64n(uint64(n)))
}
// Float64 returns, as a float64, a pseudo-random number in [0.0,1.0).
func (r *Rand) Float64() float64 {
// There is one bug in the value stream: r.Int63() may be so close
// to 1<<63 that the division rounds up to 1.0, and we've guaranteed
// that the result is always less than 1.0.
//
// We tried to fix this by mapping 1.0 back to 0.0, but since float64
// values near 0 are much denser than near 1, mapping 1 to 0 caused
// a theoretically significant overshoot in the probability of returning 0.
// Instead of that, if we round up to 1, just try again.
// Getting 1 only happens 1/2⁵³ of the time, so most clients
// will not observe it anyway.
again:
f := float64(r.Uint64n(1<<53)) / (1 << 53)
if f == 1.0 {
goto again // resample; this branch is taken O(never)
}
return f
}
// Float32 returns, as a float32, a pseudo-random number in [0.0,1.0).
func (r *Rand) Float32() float32 {
// We do not want to return 1.0.
// This only happens 1/2²⁴ of the time (plus the 1/2⁵³ of the time in Float64).
again:
f := float32(r.Float64())
if f == 1 {
goto again // resample; this branch is taken O(very rarely)
}
return f
}
// Perm returns, as a slice of n ints, a pseudo-random permutation of the integers [0,n).
func (r *Rand) Perm(n int) []int {
m := make([]int, n)
// In the following loop, the iteration when i=0 always swaps m[0] with m[0].
// A change to remove this useless iteration is to assign 1 to i in the init
// statement. But Perm also effects r. Making this change will affect
// the final state of r. So this change can't be made for compatibility
// reasons for Go 1.
for i := 0; i < n; i++ {
j := r.Intn(i + 1)
m[i] = m[j]
m[j] = i
}
return m
}
// Shuffle pseudo-randomizes the order of elements.
// n is the number of elements. Shuffle panics if n < 0.
// swap swaps the elements with indexes i and j.
func (r *Rand) Shuffle(n int, swap func(i, j int)) {
if n < 0 {
panic("invalid argument to Shuffle")
}
// Fisher-Yates shuffle: https://en.wikipedia.org/wiki/Fisher%E2%80%93Yates_shuffle
// Shuffle really ought not be called with n that doesn't fit in 32 bits.
// Not only will it take a very long time, but with 2³¹! possible permutations,
// there's no way that any PRNG can have a big enough internal state to
// generate even a minuscule percentage of the possible permutations.
// Nevertheless, the right API signature accepts an int n, so handle it as best we can.
i := n - 1
for ; i > 1<<31-1-1; i-- {
j := int(r.Int63n(int64(i + 1)))
swap(i, j)
}
for ; i > 0; i-- {
j := int(r.Int31n(int32(i + 1)))
swap(i, j)
}
}
// Read generates len(p) random bytes and writes them into p. It
// always returns len(p) and a nil error.
// Read should not be called concurrently with any other Rand method unless
// the underlying source is a LockedSource.
func (r *Rand) Read(p []byte) (n int, err error) {
if lk, ok := r.src.(*LockedSource); ok {
return lk.Read(p, &r.readVal, &r.readPos)
}
return read(p, r.src, &r.readVal, &r.readPos)
}
func read(p []byte, src Source, readVal *uint64, readPos *int8) (n int, err error) {
pos := *readPos
val := *readVal
rng, _ := src.(*PCGSource)
for n = 0; n < len(p); n++ {
if pos == 0 {
if rng != nil {
val = rng.Uint64()
} else {
val = src.Uint64()
}
pos = 8
}
p[n] = byte(val)
val >>= 8
pos--
}
*readPos = pos
*readVal = val
return
}
/*
* Top-level convenience functions
*/
var globalRand = New(&LockedSource{src: *NewSource(1).(*PCGSource)})
// Type assert that globalRand's source is a LockedSource whose src is a PCGSource.
var _ PCGSource = globalRand.src.(*LockedSource).src
// Seed uses the provided seed value to initialize the default Source to a
// deterministic state. If Seed is not called, the generator behaves as
// if seeded by Seed(1).
// Seed, unlike the Rand.Seed method, is safe for concurrent use.
func Seed(seed uint64) { globalRand.Seed(seed) }
// Int63 returns a non-negative pseudo-random 63-bit integer as an int64
// from the default Source.
func Int63() int64 { return globalRand.Int63() }
// Uint32 returns a pseudo-random 32-bit value as a uint32
// from the default Source.
func Uint32() uint32 { return globalRand.Uint32() }
// Uint64 returns a pseudo-random 64-bit value as a uint64
// from the default Source.
func Uint64() uint64 { return globalRand.Uint64() }
// Int31 returns a non-negative pseudo-random 31-bit integer as an int32
// from the default Source.
func Int31() int32 { return globalRand.Int31() }
// Int returns a non-negative pseudo-random int from the default Source.
func Int() int { return globalRand.Int() }
// Int63n returns, as an int64, a non-negative pseudo-random number in [0,n)
// from the default Source.
// It panics if n <= 0.
func Int63n(n int64) int64 { return globalRand.Int63n(n) }
// Int31n returns, as an int32, a non-negative pseudo-random number in [0,n)
// from the default Source.
// It panics if n <= 0.
func Int31n(n int32) int32 { return globalRand.Int31n(n) }
// Intn returns, as an int, a non-negative pseudo-random number in [0,n)
// from the default Source.
// It panics if n <= 0.
func Intn(n int) int { return globalRand.Intn(n) }
// Float64 returns, as a float64, a pseudo-random number in [0.0,1.0)
// from the default Source.
func Float64() float64 { return globalRand.Float64() }
// Float32 returns, as a float32, a pseudo-random number in [0.0,1.0)
// from the default Source.
func Float32() float32 { return globalRand.Float32() }
// Perm returns, as a slice of n ints, a pseudo-random permutation of the integers [0,n)
// from the default Source.
func Perm(n int) []int { return globalRand.Perm(n) }
// Shuffle pseudo-randomizes the order of elements using the default Source.
// n is the number of elements. Shuffle panics if n < 0.
// swap swaps the elements with indexes i and j.
func Shuffle(n int, swap func(i, j int)) { globalRand.Shuffle(n, swap) }
// Read generates len(p) random bytes from the default Source and
// writes them into p. It always returns len(p) and a nil error.
// Read, unlike the Rand.Read method, is safe for concurrent use.
func Read(p []byte) (n int, err error) { return globalRand.Read(p) }
// NormFloat64 returns a normally distributed float64 in the range
// [-math.MaxFloat64, +math.MaxFloat64] with
// standard normal distribution (mean = 0, stddev = 1)
// from the default Source.
// To produce a different normal distribution, callers can
// adjust the output using:
//
// sample = NormFloat64() * desiredStdDev + desiredMean
func NormFloat64() float64 { return globalRand.NormFloat64() }
// ExpFloat64 returns an exponentially distributed float64 in the range
// (0, +math.MaxFloat64] with an exponential distribution whose rate parameter
// (lambda) is 1 and whose mean is 1/lambda (1) from the default Source.
// To produce a distribution with a different rate parameter,
// callers can adjust the output using:
//
// sample = ExpFloat64() / desiredRateParameter
func ExpFloat64() float64 { return globalRand.ExpFloat64() }
// LockedSource is an implementation of Source that is concurrency-safe.
// A Rand using a LockedSource is safe for concurrent use.
//
// The zero value of LockedSource is valid, but should be seeded before use.
type LockedSource struct {
lk sync.Mutex
src PCGSource
}
func (s *LockedSource) Uint64() (n uint64) {
s.lk.Lock()
n = s.src.Uint64()
s.lk.Unlock()
return
}
func (s *LockedSource) Seed(seed uint64) {
s.lk.Lock()
s.src.Seed(seed)
s.lk.Unlock()
}
// seedPos implements Seed for a LockedSource without a race condiiton.
func (s *LockedSource) seedPos(seed uint64, readPos *int8) {
s.lk.Lock()
s.src.Seed(seed)
*readPos = 0
s.lk.Unlock()
}
// Read implements Read for a LockedSource.
func (s *LockedSource) Read(p []byte, readVal *uint64, readPos *int8) (n int, err error) {
s.lk.Lock()
n, err = read(p, &s.src, readVal, readPos)
s.lk.Unlock()
return
}

91
vendor/golang.org/x/exp/rand/rng.go generated vendored Normal file
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@@ -0,0 +1,91 @@
// Copyright 2017 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package rand
import (
"encoding/binary"
"io"
"math/bits"
)
// PCGSource is an implementation of a 64-bit permuted congruential
// generator as defined in
//
// PCG: A Family of Simple Fast Space-Efficient Statistically Good
// Algorithms for Random Number Generation
// Melissa E. ONeill, Harvey Mudd College
// http://www.pcg-random.org/pdf/toms-oneill-pcg-family-v1.02.pdf
//
// The generator here is the congruential generator PCG XSL RR 128/64 (LCG)
// as found in the software available at http://www.pcg-random.org/.
// It has period 2^128 with 128 bits of state, producing 64-bit values.
// Is state is represented by two uint64 words.
type PCGSource struct {
low uint64
high uint64
}
const (
maxUint32 = (1 << 32) - 1
multiplier = 47026247687942121848144207491837523525
mulHigh = multiplier >> 64
mulLow = multiplier & maxUint64
increment = 117397592171526113268558934119004209487
incHigh = increment >> 64
incLow = increment & maxUint64
// TODO: Use these?
initializer = 245720598905631564143578724636268694099
initHigh = initializer >> 64
initLow = initializer & maxUint64
)
// Seed uses the provided seed value to initialize the generator to a deterministic state.
func (pcg *PCGSource) Seed(seed uint64) {
pcg.low = seed
pcg.high = seed // TODO: What is right?
}
// Uint64 returns a pseudo-random 64-bit unsigned integer as a uint64.
func (pcg *PCGSource) Uint64() uint64 {
pcg.multiply()
pcg.add()
// XOR high and low 64 bits together and rotate right by high 6 bits of state.
return bits.RotateLeft64(pcg.high^pcg.low, -int(pcg.high>>58))
}
func (pcg *PCGSource) add() {
var carry uint64
pcg.low, carry = bits.Add64(pcg.low, incLow, 0)
pcg.high, _ = bits.Add64(pcg.high, incHigh, carry)
}
func (pcg *PCGSource) multiply() {
hi, lo := bits.Mul64(pcg.low, mulLow)
hi += pcg.high * mulLow
hi += pcg.low * mulHigh
pcg.low = lo
pcg.high = hi
}
// MarshalBinary returns the binary representation of the current state of the generator.
func (pcg *PCGSource) MarshalBinary() ([]byte, error) {
var buf [16]byte
binary.BigEndian.PutUint64(buf[:8], pcg.high)
binary.BigEndian.PutUint64(buf[8:], pcg.low)
return buf[:], nil
}
// UnmarshalBinary sets the state of the generator to the state represented in data.
func (pcg *PCGSource) UnmarshalBinary(data []byte) error {
if len(data) < 16 {
return io.ErrUnexpectedEOF
}
pcg.low = binary.BigEndian.Uint64(data[8:])
pcg.high = binary.BigEndian.Uint64(data[:8])
return nil
}

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vendor/golang.org/x/exp/rand/zipf.go generated vendored Normal file
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// Copyright 2009 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// W.Hormann, G.Derflinger:
// "Rejection-Inversion to Generate Variates
// from Monotone Discrete Distributions"
// http://eeyore.wu-wien.ac.at/papers/96-04-04.wh-der.ps.gz
package rand
import "math"
// A Zipf generates Zipf distributed variates.
type Zipf struct {
r *Rand
imax float64
v float64
q float64
s float64
oneminusQ float64
oneminusQinv float64
hxm float64
hx0minusHxm float64
}
func (z *Zipf) h(x float64) float64 {
return math.Exp(z.oneminusQ*math.Log(z.v+x)) * z.oneminusQinv
}
func (z *Zipf) hinv(x float64) float64 {
return math.Exp(z.oneminusQinv*math.Log(z.oneminusQ*x)) - z.v
}
// NewZipf returns a Zipf variate generator.
// The generator generates values k ∈ [0, imax]
// such that P(k) is proportional to (v + k) ** (-s).
// Requirements: s > 1 and v >= 1.
func NewZipf(r *Rand, s float64, v float64, imax uint64) *Zipf {
z := new(Zipf)
if s <= 1.0 || v < 1 {
return nil
}
z.r = r
z.imax = float64(imax)
z.v = v
z.q = s
z.oneminusQ = 1.0 - z.q
z.oneminusQinv = 1.0 / z.oneminusQ
z.hxm = z.h(z.imax + 0.5)
z.hx0minusHxm = z.h(0.5) - math.Exp(math.Log(z.v)*(-z.q)) - z.hxm
z.s = 1 - z.hinv(z.h(1.5)-math.Exp(-z.q*math.Log(z.v+1.0)))
return z
}
// Uint64 returns a value drawn from the Zipf distribution described
// by the Zipf object.
func (z *Zipf) Uint64() uint64 {
if z == nil {
panic("rand: nil Zipf")
}
k := 0.0
for {
r := z.r.Float64() // r on [0,1]
ur := z.hxm + r*z.hx0minusHxm
x := z.hinv(ur)
k = math.Floor(x + 0.5)
if k-x <= z.s {
break
}
if ur >= z.h(k+0.5)-math.Exp(-math.Log(k+z.v)*z.q) {
break
}
}
return uint64(k)
}

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vendor/golang.org/x/exp/slices/cmp.go generated vendored Normal file
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// Copyright 2023 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package slices
import "golang.org/x/exp/constraints"
// min is a version of the predeclared function from the Go 1.21 release.
func min[T constraints.Ordered](a, b T) T {
if a < b || isNaN(a) {
return a
}
return b
}
// max is a version of the predeclared function from the Go 1.21 release.
func max[T constraints.Ordered](a, b T) T {
if a > b || isNaN(a) {
return a
}
return b
}
// cmpLess is a copy of cmp.Less from the Go 1.21 release.
func cmpLess[T constraints.Ordered](x, y T) bool {
return (isNaN(x) && !isNaN(y)) || x < y
}
// cmpCompare is a copy of cmp.Compare from the Go 1.21 release.
func cmpCompare[T constraints.Ordered](x, y T) int {
xNaN := isNaN(x)
yNaN := isNaN(y)
if xNaN && yNaN {
return 0
}
if xNaN || x < y {
return -1
}
if yNaN || x > y {
return +1
}
return 0
}

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vendor/golang.org/x/exp/slices/slices.go generated vendored Normal file
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// Copyright 2021 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// Package slices defines various functions useful with slices of any type.
package slices
import (
"unsafe"
"golang.org/x/exp/constraints"
)
// Equal reports whether two slices are equal: the same length and all
// elements equal. If the lengths are different, Equal returns false.
// Otherwise, the elements are compared in increasing index order, and the
// comparison stops at the first unequal pair.
// Floating point NaNs are not considered equal.
func Equal[S ~[]E, E comparable](s1, s2 S) bool {
if len(s1) != len(s2) {
return false
}
for i := range s1 {
if s1[i] != s2[i] {
return false
}
}
return true
}
// EqualFunc reports whether two slices are equal using an equality
// function on each pair of elements. If the lengths are different,
// EqualFunc returns false. Otherwise, the elements are compared in
// increasing index order, and the comparison stops at the first index
// for which eq returns false.
func EqualFunc[S1 ~[]E1, S2 ~[]E2, E1, E2 any](s1 S1, s2 S2, eq func(E1, E2) bool) bool {
if len(s1) != len(s2) {
return false
}
for i, v1 := range s1 {
v2 := s2[i]
if !eq(v1, v2) {
return false
}
}
return true
}
// Compare compares the elements of s1 and s2, using [cmp.Compare] on each pair
// of elements. The elements are compared sequentially, starting at index 0,
// until one element is not equal to the other.
// The result of comparing the first non-matching elements is returned.
// If both slices are equal until one of them ends, the shorter slice is
// considered less than the longer one.
// The result is 0 if s1 == s2, -1 if s1 < s2, and +1 if s1 > s2.
func Compare[S ~[]E, E constraints.Ordered](s1, s2 S) int {
for i, v1 := range s1 {
if i >= len(s2) {
return +1
}
v2 := s2[i]
if c := cmpCompare(v1, v2); c != 0 {
return c
}
}
if len(s1) < len(s2) {
return -1
}
return 0
}
// CompareFunc is like [Compare] but uses a custom comparison function on each
// pair of elements.
// The result is the first non-zero result of cmp; if cmp always
// returns 0 the result is 0 if len(s1) == len(s2), -1 if len(s1) < len(s2),
// and +1 if len(s1) > len(s2).
func CompareFunc[S1 ~[]E1, S2 ~[]E2, E1, E2 any](s1 S1, s2 S2, cmp func(E1, E2) int) int {
for i, v1 := range s1 {
if i >= len(s2) {
return +1
}
v2 := s2[i]
if c := cmp(v1, v2); c != 0 {
return c
}
}
if len(s1) < len(s2) {
return -1
}
return 0
}
// Index returns the index of the first occurrence of v in s,
// or -1 if not present.
func Index[S ~[]E, E comparable](s S, v E) int {
for i := range s {
if v == s[i] {
return i
}
}
return -1
}
// IndexFunc returns the first index i satisfying f(s[i]),
// or -1 if none do.
func IndexFunc[S ~[]E, E any](s S, f func(E) bool) int {
for i := range s {
if f(s[i]) {
return i
}
}
return -1
}
// Contains reports whether v is present in s.
func Contains[S ~[]E, E comparable](s S, v E) bool {
return Index(s, v) >= 0
}
// ContainsFunc reports whether at least one
// element e of s satisfies f(e).
func ContainsFunc[S ~[]E, E any](s S, f func(E) bool) bool {
return IndexFunc(s, f) >= 0
}
// Insert inserts the values v... into s at index i,
// returning the modified slice.
// The elements at s[i:] are shifted up to make room.
// In the returned slice r, r[i] == v[0],
// and r[i+len(v)] == value originally at r[i].
// Insert panics if i is out of range.
// This function is O(len(s) + len(v)).
func Insert[S ~[]E, E any](s S, i int, v ...E) S {
m := len(v)
if m == 0 {
return s
}
n := len(s)
if i == n {
return append(s, v...)
}
if n+m > cap(s) {
// Use append rather than make so that we bump the size of
// the slice up to the next storage class.
// This is what Grow does but we don't call Grow because
// that might copy the values twice.
s2 := append(s[:i], make(S, n+m-i)...)
copy(s2[i:], v)
copy(s2[i+m:], s[i:])
return s2
}
s = s[:n+m]
// before:
// s: aaaaaaaabbbbccccccccdddd
// ^ ^ ^ ^
// i i+m n n+m
// after:
// s: aaaaaaaavvvvbbbbcccccccc
// ^ ^ ^ ^
// i i+m n n+m
//
// a are the values that don't move in s.
// v are the values copied in from v.
// b and c are the values from s that are shifted up in index.
// d are the values that get overwritten, never to be seen again.
if !overlaps(v, s[i+m:]) {
// Easy case - v does not overlap either the c or d regions.
// (It might be in some of a or b, or elsewhere entirely.)
// The data we copy up doesn't write to v at all, so just do it.
copy(s[i+m:], s[i:])
// Now we have
// s: aaaaaaaabbbbbbbbcccccccc
// ^ ^ ^ ^
// i i+m n n+m
// Note the b values are duplicated.
copy(s[i:], v)
// Now we have
// s: aaaaaaaavvvvbbbbcccccccc
// ^ ^ ^ ^
// i i+m n n+m
// That's the result we want.
return s
}
// The hard case - v overlaps c or d. We can't just shift up
// the data because we'd move or clobber the values we're trying
// to insert.
// So instead, write v on top of d, then rotate.
copy(s[n:], v)
// Now we have
// s: aaaaaaaabbbbccccccccvvvv
// ^ ^ ^ ^
// i i+m n n+m
rotateRight(s[i:], m)
// Now we have
// s: aaaaaaaavvvvbbbbcccccccc
// ^ ^ ^ ^
// i i+m n n+m
// That's the result we want.
return s
}
// Delete removes the elements s[i:j] from s, returning the modified slice.
// Delete panics if s[i:j] is not a valid slice of s.
// Delete is O(len(s)-j), so if many items must be deleted, it is better to
// make a single call deleting them all together than to delete one at a time.
// Delete might not modify the elements s[len(s)-(j-i):len(s)]. If those
// elements contain pointers you might consider zeroing those elements so that
// objects they reference can be garbage collected.
func Delete[S ~[]E, E any](s S, i, j int) S {
_ = s[i:j] // bounds check
return append(s[:i], s[j:]...)
}
// DeleteFunc removes any elements from s for which del returns true,
// returning the modified slice.
// When DeleteFunc removes m elements, it might not modify the elements
// s[len(s)-m:len(s)]. If those elements contain pointers you might consider
// zeroing those elements so that objects they reference can be garbage
// collected.
func DeleteFunc[S ~[]E, E any](s S, del func(E) bool) S {
i := IndexFunc(s, del)
if i == -1 {
return s
}
// Don't start copying elements until we find one to delete.
for j := i + 1; j < len(s); j++ {
if v := s[j]; !del(v) {
s[i] = v
i++
}
}
return s[:i]
}
// Replace replaces the elements s[i:j] by the given v, and returns the
// modified slice. Replace panics if s[i:j] is not a valid slice of s.
func Replace[S ~[]E, E any](s S, i, j int, v ...E) S {
_ = s[i:j] // verify that i:j is a valid subslice
if i == j {
return Insert(s, i, v...)
}
if j == len(s) {
return append(s[:i], v...)
}
tot := len(s[:i]) + len(v) + len(s[j:])
if tot > cap(s) {
// Too big to fit, allocate and copy over.
s2 := append(s[:i], make(S, tot-i)...) // See Insert
copy(s2[i:], v)
copy(s2[i+len(v):], s[j:])
return s2
}
r := s[:tot]
if i+len(v) <= j {
// Easy, as v fits in the deleted portion.
copy(r[i:], v)
if i+len(v) != j {
copy(r[i+len(v):], s[j:])
}
return r
}
// We are expanding (v is bigger than j-i).
// The situation is something like this:
// (example has i=4,j=8,len(s)=16,len(v)=6)
// s: aaaaxxxxbbbbbbbbyy
// ^ ^ ^ ^
// i j len(s) tot
// a: prefix of s
// x: deleted range
// b: more of s
// y: area to expand into
if !overlaps(r[i+len(v):], v) {
// Easy, as v is not clobbered by the first copy.
copy(r[i+len(v):], s[j:])
copy(r[i:], v)
return r
}
// This is a situation where we don't have a single place to which
// we can copy v. Parts of it need to go to two different places.
// We want to copy the prefix of v into y and the suffix into x, then
// rotate |y| spots to the right.
//
// v[2:] v[:2]
// | |
// s: aaaavvvvbbbbbbbbvv
// ^ ^ ^ ^
// i j len(s) tot
//
// If either of those two destinations don't alias v, then we're good.
y := len(v) - (j - i) // length of y portion
if !overlaps(r[i:j], v) {
copy(r[i:j], v[y:])
copy(r[len(s):], v[:y])
rotateRight(r[i:], y)
return r
}
if !overlaps(r[len(s):], v) {
copy(r[len(s):], v[:y])
copy(r[i:j], v[y:])
rotateRight(r[i:], y)
return r
}
// Now we know that v overlaps both x and y.
// That means that the entirety of b is *inside* v.
// So we don't need to preserve b at all; instead we
// can copy v first, then copy the b part of v out of
// v to the right destination.
k := startIdx(v, s[j:])
copy(r[i:], v)
copy(r[i+len(v):], r[i+k:])
return r
}
// Clone returns a copy of the slice.
// The elements are copied using assignment, so this is a shallow clone.
func Clone[S ~[]E, E any](s S) S {
// Preserve nil in case it matters.
if s == nil {
return nil
}
return append(S([]E{}), s...)
}
// Compact replaces consecutive runs of equal elements with a single copy.
// This is like the uniq command found on Unix.
// Compact modifies the contents of the slice s and returns the modified slice,
// which may have a smaller length.
// When Compact discards m elements in total, it might not modify the elements
// s[len(s)-m:len(s)]. If those elements contain pointers you might consider
// zeroing those elements so that objects they reference can be garbage collected.
func Compact[S ~[]E, E comparable](s S) S {
if len(s) < 2 {
return s
}
i := 1
for k := 1; k < len(s); k++ {
if s[k] != s[k-1] {
if i != k {
s[i] = s[k]
}
i++
}
}
return s[:i]
}
// CompactFunc is like [Compact] but uses an equality function to compare elements.
// For runs of elements that compare equal, CompactFunc keeps the first one.
func CompactFunc[S ~[]E, E any](s S, eq func(E, E) bool) S {
if len(s) < 2 {
return s
}
i := 1
for k := 1; k < len(s); k++ {
if !eq(s[k], s[k-1]) {
if i != k {
s[i] = s[k]
}
i++
}
}
return s[:i]
}
// Grow increases the slice's capacity, if necessary, to guarantee space for
// another n elements. After Grow(n), at least n elements can be appended
// to the slice without another allocation. If n is negative or too large to
// allocate the memory, Grow panics.
func Grow[S ~[]E, E any](s S, n int) S {
if n < 0 {
panic("cannot be negative")
}
if n -= cap(s) - len(s); n > 0 {
// TODO(https://go.dev/issue/53888): Make using []E instead of S
// to workaround a compiler bug where the runtime.growslice optimization
// does not take effect. Revert when the compiler is fixed.
s = append([]E(s)[:cap(s)], make([]E, n)...)[:len(s)]
}
return s
}
// Clip removes unused capacity from the slice, returning s[:len(s):len(s)].
func Clip[S ~[]E, E any](s S) S {
return s[:len(s):len(s)]
}
// Rotation algorithm explanation:
//
// rotate left by 2
// start with
// 0123456789
// split up like this
// 01 234567 89
// swap first 2 and last 2
// 89 234567 01
// join first parts
// 89234567 01
// recursively rotate first left part by 2
// 23456789 01
// join at the end
// 2345678901
//
// rotate left by 8
// start with
// 0123456789
// split up like this
// 01 234567 89
// swap first 2 and last 2
// 89 234567 01
// join last parts
// 89 23456701
// recursively rotate second part left by 6
// 89 01234567
// join at the end
// 8901234567
// TODO: There are other rotate algorithms.
// This algorithm has the desirable property that it moves each element exactly twice.
// The triple-reverse algorithm is simpler and more cache friendly, but takes more writes.
// The follow-cycles algorithm can be 1-write but it is not very cache friendly.
// rotateLeft rotates b left by n spaces.
// s_final[i] = s_orig[i+r], wrapping around.
func rotateLeft[E any](s []E, r int) {
for r != 0 && r != len(s) {
if r*2 <= len(s) {
swap(s[:r], s[len(s)-r:])
s = s[:len(s)-r]
} else {
swap(s[:len(s)-r], s[r:])
s, r = s[len(s)-r:], r*2-len(s)
}
}
}
func rotateRight[E any](s []E, r int) {
rotateLeft(s, len(s)-r)
}
// swap swaps the contents of x and y. x and y must be equal length and disjoint.
func swap[E any](x, y []E) {
for i := 0; i < len(x); i++ {
x[i], y[i] = y[i], x[i]
}
}
// overlaps reports whether the memory ranges a[0:len(a)] and b[0:len(b)] overlap.
func overlaps[E any](a, b []E) bool {
if len(a) == 0 || len(b) == 0 {
return false
}
elemSize := unsafe.Sizeof(a[0])
if elemSize == 0 {
return false
}
// TODO: use a runtime/unsafe facility once one becomes available. See issue 12445.
// Also see crypto/internal/alias/alias.go:AnyOverlap
return uintptr(unsafe.Pointer(&a[0])) <= uintptr(unsafe.Pointer(&b[len(b)-1]))+(elemSize-1) &&
uintptr(unsafe.Pointer(&b[0])) <= uintptr(unsafe.Pointer(&a[len(a)-1]))+(elemSize-1)
}
// startIdx returns the index in haystack where the needle starts.
// prerequisite: the needle must be aliased entirely inside the haystack.
func startIdx[E any](haystack, needle []E) int {
p := &needle[0]
for i := range haystack {
if p == &haystack[i] {
return i
}
}
// TODO: what if the overlap is by a non-integral number of Es?
panic("needle not found")
}
// Reverse reverses the elements of the slice in place.
func Reverse[S ~[]E, E any](s S) {
for i, j := 0, len(s)-1; i < j; i, j = i+1, j-1 {
s[i], s[j] = s[j], s[i]
}
}

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vendor/golang.org/x/exp/slices/sort.go generated vendored Normal file
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// Copyright 2022 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
//go:generate go run $GOROOT/src/sort/gen_sort_variants.go -exp
package slices
import (
"math/bits"
"golang.org/x/exp/constraints"
)
// Sort sorts a slice of any ordered type in ascending order.
// When sorting floating-point numbers, NaNs are ordered before other values.
func Sort[S ~[]E, E constraints.Ordered](x S) {
n := len(x)
pdqsortOrdered(x, 0, n, bits.Len(uint(n)))
}
// SortFunc sorts the slice x in ascending order as determined by the cmp
// function. This sort is not guaranteed to be stable.
// cmp(a, b) should return a negative number when a < b, a positive number when
// a > b and zero when a == b.
//
// SortFunc requires that cmp is a strict weak ordering.
// See https://en.wikipedia.org/wiki/Weak_ordering#Strict_weak_orderings.
func SortFunc[S ~[]E, E any](x S, cmp func(a, b E) int) {
n := len(x)
pdqsortCmpFunc(x, 0, n, bits.Len(uint(n)), cmp)
}
// SortStableFunc sorts the slice x while keeping the original order of equal
// elements, using cmp to compare elements in the same way as [SortFunc].
func SortStableFunc[S ~[]E, E any](x S, cmp func(a, b E) int) {
stableCmpFunc(x, len(x), cmp)
}
// IsSorted reports whether x is sorted in ascending order.
func IsSorted[S ~[]E, E constraints.Ordered](x S) bool {
for i := len(x) - 1; i > 0; i-- {
if cmpLess(x[i], x[i-1]) {
return false
}
}
return true
}
// IsSortedFunc reports whether x is sorted in ascending order, with cmp as the
// comparison function as defined by [SortFunc].
func IsSortedFunc[S ~[]E, E any](x S, cmp func(a, b E) int) bool {
for i := len(x) - 1; i > 0; i-- {
if cmp(x[i], x[i-1]) < 0 {
return false
}
}
return true
}
// Min returns the minimal value in x. It panics if x is empty.
// For floating-point numbers, Min propagates NaNs (any NaN value in x
// forces the output to be NaN).
func Min[S ~[]E, E constraints.Ordered](x S) E {
if len(x) < 1 {
panic("slices.Min: empty list")
}
m := x[0]
for i := 1; i < len(x); i++ {
m = min(m, x[i])
}
return m
}
// MinFunc returns the minimal value in x, using cmp to compare elements.
// It panics if x is empty. If there is more than one minimal element
// according to the cmp function, MinFunc returns the first one.
func MinFunc[S ~[]E, E any](x S, cmp func(a, b E) int) E {
if len(x) < 1 {
panic("slices.MinFunc: empty list")
}
m := x[0]
for i := 1; i < len(x); i++ {
if cmp(x[i], m) < 0 {
m = x[i]
}
}
return m
}
// Max returns the maximal value in x. It panics if x is empty.
// For floating-point E, Max propagates NaNs (any NaN value in x
// forces the output to be NaN).
func Max[S ~[]E, E constraints.Ordered](x S) E {
if len(x) < 1 {
panic("slices.Max: empty list")
}
m := x[0]
for i := 1; i < len(x); i++ {
m = max(m, x[i])
}
return m
}
// MaxFunc returns the maximal value in x, using cmp to compare elements.
// It panics if x is empty. If there is more than one maximal element
// according to the cmp function, MaxFunc returns the first one.
func MaxFunc[S ~[]E, E any](x S, cmp func(a, b E) int) E {
if len(x) < 1 {
panic("slices.MaxFunc: empty list")
}
m := x[0]
for i := 1; i < len(x); i++ {
if cmp(x[i], m) > 0 {
m = x[i]
}
}
return m
}
// BinarySearch searches for target in a sorted slice and returns the position
// where target is found, or the position where target would appear in the
// sort order; it also returns a bool saying whether the target is really found
// in the slice. The slice must be sorted in increasing order.
func BinarySearch[S ~[]E, E constraints.Ordered](x S, target E) (int, bool) {
// Inlining is faster than calling BinarySearchFunc with a lambda.
n := len(x)
// Define x[-1] < target and x[n] >= target.
// Invariant: x[i-1] < target, x[j] >= target.
i, j := 0, n
for i < j {
h := int(uint(i+j) >> 1) // avoid overflow when computing h
// i ≤ h < j
if cmpLess(x[h], target) {
i = h + 1 // preserves x[i-1] < target
} else {
j = h // preserves x[j] >= target
}
}
// i == j, x[i-1] < target, and x[j] (= x[i]) >= target => answer is i.
return i, i < n && (x[i] == target || (isNaN(x[i]) && isNaN(target)))
}
// BinarySearchFunc works like [BinarySearch], but uses a custom comparison
// function. The slice must be sorted in increasing order, where "increasing"
// is defined by cmp. cmp should return 0 if the slice element matches
// the target, a negative number if the slice element precedes the target,
// or a positive number if the slice element follows the target.
// cmp must implement the same ordering as the slice, such that if
// cmp(a, t) < 0 and cmp(b, t) >= 0, then a must precede b in the slice.
func BinarySearchFunc[S ~[]E, E, T any](x S, target T, cmp func(E, T) int) (int, bool) {
n := len(x)
// Define cmp(x[-1], target) < 0 and cmp(x[n], target) >= 0 .
// Invariant: cmp(x[i - 1], target) < 0, cmp(x[j], target) >= 0.
i, j := 0, n
for i < j {
h := int(uint(i+j) >> 1) // avoid overflow when computing h
// i ≤ h < j
if cmp(x[h], target) < 0 {
i = h + 1 // preserves cmp(x[i - 1], target) < 0
} else {
j = h // preserves cmp(x[j], target) >= 0
}
}
// i == j, cmp(x[i-1], target) < 0, and cmp(x[j], target) (= cmp(x[i], target)) >= 0 => answer is i.
return i, i < n && cmp(x[i], target) == 0
}
type sortedHint int // hint for pdqsort when choosing the pivot
const (
unknownHint sortedHint = iota
increasingHint
decreasingHint
)
// xorshift paper: https://www.jstatsoft.org/article/view/v008i14/xorshift.pdf
type xorshift uint64
func (r *xorshift) Next() uint64 {
*r ^= *r << 13
*r ^= *r >> 17
*r ^= *r << 5
return uint64(*r)
}
func nextPowerOfTwo(length int) uint {
return 1 << bits.Len(uint(length))
}
// isNaN reports whether x is a NaN without requiring the math package.
// This will always return false if T is not floating-point.
func isNaN[T constraints.Ordered](x T) bool {
return x != x
}

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// Code generated by gen_sort_variants.go; DO NOT EDIT.
// Copyright 2022 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package slices
// insertionSortCmpFunc sorts data[a:b] using insertion sort.
func insertionSortCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) {
for i := a + 1; i < b; i++ {
for j := i; j > a && (cmp(data[j], data[j-1]) < 0); j-- {
data[j], data[j-1] = data[j-1], data[j]
}
}
}
// siftDownCmpFunc implements the heap property on data[lo:hi].
// first is an offset into the array where the root of the heap lies.
func siftDownCmpFunc[E any](data []E, lo, hi, first int, cmp func(a, b E) int) {
root := lo
for {
child := 2*root + 1
if child >= hi {
break
}
if child+1 < hi && (cmp(data[first+child], data[first+child+1]) < 0) {
child++
}
if !(cmp(data[first+root], data[first+child]) < 0) {
return
}
data[first+root], data[first+child] = data[first+child], data[first+root]
root = child
}
}
func heapSortCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) {
first := a
lo := 0
hi := b - a
// Build heap with greatest element at top.
for i := (hi - 1) / 2; i >= 0; i-- {
siftDownCmpFunc(data, i, hi, first, cmp)
}
// Pop elements, largest first, into end of data.
for i := hi - 1; i >= 0; i-- {
data[first], data[first+i] = data[first+i], data[first]
siftDownCmpFunc(data, lo, i, first, cmp)
}
}
// pdqsortCmpFunc sorts data[a:b].
// The algorithm based on pattern-defeating quicksort(pdqsort), but without the optimizations from BlockQuicksort.
// pdqsort paper: https://arxiv.org/pdf/2106.05123.pdf
// C++ implementation: https://github.com/orlp/pdqsort
// Rust implementation: https://docs.rs/pdqsort/latest/pdqsort/
// limit is the number of allowed bad (very unbalanced) pivots before falling back to heapsort.
func pdqsortCmpFunc[E any](data []E, a, b, limit int, cmp func(a, b E) int) {
const maxInsertion = 12
var (
wasBalanced = true // whether the last partitioning was reasonably balanced
wasPartitioned = true // whether the slice was already partitioned
)
for {
length := b - a
if length <= maxInsertion {
insertionSortCmpFunc(data, a, b, cmp)
return
}
// Fall back to heapsort if too many bad choices were made.
if limit == 0 {
heapSortCmpFunc(data, a, b, cmp)
return
}
// If the last partitioning was imbalanced, we need to breaking patterns.
if !wasBalanced {
breakPatternsCmpFunc(data, a, b, cmp)
limit--
}
pivot, hint := choosePivotCmpFunc(data, a, b, cmp)
if hint == decreasingHint {
reverseRangeCmpFunc(data, a, b, cmp)
// The chosen pivot was pivot-a elements after the start of the array.
// After reversing it is pivot-a elements before the end of the array.
// The idea came from Rust's implementation.
pivot = (b - 1) - (pivot - a)
hint = increasingHint
}
// The slice is likely already sorted.
if wasBalanced && wasPartitioned && hint == increasingHint {
if partialInsertionSortCmpFunc(data, a, b, cmp) {
return
}
}
// Probably the slice contains many duplicate elements, partition the slice into
// elements equal to and elements greater than the pivot.
if a > 0 && !(cmp(data[a-1], data[pivot]) < 0) {
mid := partitionEqualCmpFunc(data, a, b, pivot, cmp)
a = mid
continue
}
mid, alreadyPartitioned := partitionCmpFunc(data, a, b, pivot, cmp)
wasPartitioned = alreadyPartitioned
leftLen, rightLen := mid-a, b-mid
balanceThreshold := length / 8
if leftLen < rightLen {
wasBalanced = leftLen >= balanceThreshold
pdqsortCmpFunc(data, a, mid, limit, cmp)
a = mid + 1
} else {
wasBalanced = rightLen >= balanceThreshold
pdqsortCmpFunc(data, mid+1, b, limit, cmp)
b = mid
}
}
}
// partitionCmpFunc does one quicksort partition.
// Let p = data[pivot]
// Moves elements in data[a:b] around, so that data[i]<p and data[j]>=p for i<newpivot and j>newpivot.
// On return, data[newpivot] = p
func partitionCmpFunc[E any](data []E, a, b, pivot int, cmp func(a, b E) int) (newpivot int, alreadyPartitioned bool) {
data[a], data[pivot] = data[pivot], data[a]
i, j := a+1, b-1 // i and j are inclusive of the elements remaining to be partitioned
for i <= j && (cmp(data[i], data[a]) < 0) {
i++
}
for i <= j && !(cmp(data[j], data[a]) < 0) {
j--
}
if i > j {
data[j], data[a] = data[a], data[j]
return j, true
}
data[i], data[j] = data[j], data[i]
i++
j--
for {
for i <= j && (cmp(data[i], data[a]) < 0) {
i++
}
for i <= j && !(cmp(data[j], data[a]) < 0) {
j--
}
if i > j {
break
}
data[i], data[j] = data[j], data[i]
i++
j--
}
data[j], data[a] = data[a], data[j]
return j, false
}
// partitionEqualCmpFunc partitions data[a:b] into elements equal to data[pivot] followed by elements greater than data[pivot].
// It assumed that data[a:b] does not contain elements smaller than the data[pivot].
func partitionEqualCmpFunc[E any](data []E, a, b, pivot int, cmp func(a, b E) int) (newpivot int) {
data[a], data[pivot] = data[pivot], data[a]
i, j := a+1, b-1 // i and j are inclusive of the elements remaining to be partitioned
for {
for i <= j && !(cmp(data[a], data[i]) < 0) {
i++
}
for i <= j && (cmp(data[a], data[j]) < 0) {
j--
}
if i > j {
break
}
data[i], data[j] = data[j], data[i]
i++
j--
}
return i
}
// partialInsertionSortCmpFunc partially sorts a slice, returns true if the slice is sorted at the end.
func partialInsertionSortCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) bool {
const (
maxSteps = 5 // maximum number of adjacent out-of-order pairs that will get shifted
shortestShifting = 50 // don't shift any elements on short arrays
)
i := a + 1
for j := 0; j < maxSteps; j++ {
for i < b && !(cmp(data[i], data[i-1]) < 0) {
i++
}
if i == b {
return true
}
if b-a < shortestShifting {
return false
}
data[i], data[i-1] = data[i-1], data[i]
// Shift the smaller one to the left.
if i-a >= 2 {
for j := i - 1; j >= 1; j-- {
if !(cmp(data[j], data[j-1]) < 0) {
break
}
data[j], data[j-1] = data[j-1], data[j]
}
}
// Shift the greater one to the right.
if b-i >= 2 {
for j := i + 1; j < b; j++ {
if !(cmp(data[j], data[j-1]) < 0) {
break
}
data[j], data[j-1] = data[j-1], data[j]
}
}
}
return false
}
// breakPatternsCmpFunc scatters some elements around in an attempt to break some patterns
// that might cause imbalanced partitions in quicksort.
func breakPatternsCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) {
length := b - a
if length >= 8 {
random := xorshift(length)
modulus := nextPowerOfTwo(length)
for idx := a + (length/4)*2 - 1; idx <= a+(length/4)*2+1; idx++ {
other := int(uint(random.Next()) & (modulus - 1))
if other >= length {
other -= length
}
data[idx], data[a+other] = data[a+other], data[idx]
}
}
}
// choosePivotCmpFunc chooses a pivot in data[a:b].
//
// [0,8): chooses a static pivot.
// [8,shortestNinther): uses the simple median-of-three method.
// [shortestNinther,∞): uses the Tukey ninther method.
func choosePivotCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) (pivot int, hint sortedHint) {
const (
shortestNinther = 50
maxSwaps = 4 * 3
)
l := b - a
var (
swaps int
i = a + l/4*1
j = a + l/4*2
k = a + l/4*3
)
if l >= 8 {
if l >= shortestNinther {
// Tukey ninther method, the idea came from Rust's implementation.
i = medianAdjacentCmpFunc(data, i, &swaps, cmp)
j = medianAdjacentCmpFunc(data, j, &swaps, cmp)
k = medianAdjacentCmpFunc(data, k, &swaps, cmp)
}
// Find the median among i, j, k and stores it into j.
j = medianCmpFunc(data, i, j, k, &swaps, cmp)
}
switch swaps {
case 0:
return j, increasingHint
case maxSwaps:
return j, decreasingHint
default:
return j, unknownHint
}
}
// order2CmpFunc returns x,y where data[x] <= data[y], where x,y=a,b or x,y=b,a.
func order2CmpFunc[E any](data []E, a, b int, swaps *int, cmp func(a, b E) int) (int, int) {
if cmp(data[b], data[a]) < 0 {
*swaps++
return b, a
}
return a, b
}
// medianCmpFunc returns x where data[x] is the median of data[a],data[b],data[c], where x is a, b, or c.
func medianCmpFunc[E any](data []E, a, b, c int, swaps *int, cmp func(a, b E) int) int {
a, b = order2CmpFunc(data, a, b, swaps, cmp)
b, c = order2CmpFunc(data, b, c, swaps, cmp)
a, b = order2CmpFunc(data, a, b, swaps, cmp)
return b
}
// medianAdjacentCmpFunc finds the median of data[a - 1], data[a], data[a + 1] and stores the index into a.
func medianAdjacentCmpFunc[E any](data []E, a int, swaps *int, cmp func(a, b E) int) int {
return medianCmpFunc(data, a-1, a, a+1, swaps, cmp)
}
func reverseRangeCmpFunc[E any](data []E, a, b int, cmp func(a, b E) int) {
i := a
j := b - 1
for i < j {
data[i], data[j] = data[j], data[i]
i++
j--
}
}
func swapRangeCmpFunc[E any](data []E, a, b, n int, cmp func(a, b E) int) {
for i := 0; i < n; i++ {
data[a+i], data[b+i] = data[b+i], data[a+i]
}
}
func stableCmpFunc[E any](data []E, n int, cmp func(a, b E) int) {
blockSize := 20 // must be > 0
a, b := 0, blockSize
for b <= n {
insertionSortCmpFunc(data, a, b, cmp)
a = b
b += blockSize
}
insertionSortCmpFunc(data, a, n, cmp)
for blockSize < n {
a, b = 0, 2*blockSize
for b <= n {
symMergeCmpFunc(data, a, a+blockSize, b, cmp)
a = b
b += 2 * blockSize
}
if m := a + blockSize; m < n {
symMergeCmpFunc(data, a, m, n, cmp)
}
blockSize *= 2
}
}
// symMergeCmpFunc merges the two sorted subsequences data[a:m] and data[m:b] using
// the SymMerge algorithm from Pok-Son Kim and Arne Kutzner, "Stable Minimum
// Storage Merging by Symmetric Comparisons", in Susanne Albers and Tomasz
// Radzik, editors, Algorithms - ESA 2004, volume 3221 of Lecture Notes in
// Computer Science, pages 714-723. Springer, 2004.
//
// Let M = m-a and N = b-n. Wolog M < N.
// The recursion depth is bound by ceil(log(N+M)).
// The algorithm needs O(M*log(N/M + 1)) calls to data.Less.
// The algorithm needs O((M+N)*log(M)) calls to data.Swap.
//
// The paper gives O((M+N)*log(M)) as the number of assignments assuming a
// rotation algorithm which uses O(M+N+gcd(M+N)) assignments. The argumentation
// in the paper carries through for Swap operations, especially as the block
// swapping rotate uses only O(M+N) Swaps.
//
// symMerge assumes non-degenerate arguments: a < m && m < b.
// Having the caller check this condition eliminates many leaf recursion calls,
// which improves performance.
func symMergeCmpFunc[E any](data []E, a, m, b int, cmp func(a, b E) int) {
// Avoid unnecessary recursions of symMerge
// by direct insertion of data[a] into data[m:b]
// if data[a:m] only contains one element.
if m-a == 1 {
// Use binary search to find the lowest index i
// such that data[i] >= data[a] for m <= i < b.
// Exit the search loop with i == b in case no such index exists.
i := m
j := b
for i < j {
h := int(uint(i+j) >> 1)
if cmp(data[h], data[a]) < 0 {
i = h + 1
} else {
j = h
}
}
// Swap values until data[a] reaches the position before i.
for k := a; k < i-1; k++ {
data[k], data[k+1] = data[k+1], data[k]
}
return
}
// Avoid unnecessary recursions of symMerge
// by direct insertion of data[m] into data[a:m]
// if data[m:b] only contains one element.
if b-m == 1 {
// Use binary search to find the lowest index i
// such that data[i] > data[m] for a <= i < m.
// Exit the search loop with i == m in case no such index exists.
i := a
j := m
for i < j {
h := int(uint(i+j) >> 1)
if !(cmp(data[m], data[h]) < 0) {
i = h + 1
} else {
j = h
}
}
// Swap values until data[m] reaches the position i.
for k := m; k > i; k-- {
data[k], data[k-1] = data[k-1], data[k]
}
return
}
mid := int(uint(a+b) >> 1)
n := mid + m
var start, r int
if m > mid {
start = n - b
r = mid
} else {
start = a
r = m
}
p := n - 1
for start < r {
c := int(uint(start+r) >> 1)
if !(cmp(data[p-c], data[c]) < 0) {
start = c + 1
} else {
r = c
}
}
end := n - start
if start < m && m < end {
rotateCmpFunc(data, start, m, end, cmp)
}
if a < start && start < mid {
symMergeCmpFunc(data, a, start, mid, cmp)
}
if mid < end && end < b {
symMergeCmpFunc(data, mid, end, b, cmp)
}
}
// rotateCmpFunc rotates two consecutive blocks u = data[a:m] and v = data[m:b] in data:
// Data of the form 'x u v y' is changed to 'x v u y'.
// rotate performs at most b-a many calls to data.Swap,
// and it assumes non-degenerate arguments: a < m && m < b.
func rotateCmpFunc[E any](data []E, a, m, b int, cmp func(a, b E) int) {
i := m - a
j := b - m
for i != j {
if i > j {
swapRangeCmpFunc(data, m-i, m, j, cmp)
i -= j
} else {
swapRangeCmpFunc(data, m-i, m+j-i, i, cmp)
j -= i
}
}
// i == j
swapRangeCmpFunc(data, m-i, m, i, cmp)
}

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// Code generated by gen_sort_variants.go; DO NOT EDIT.
// Copyright 2022 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package slices
import "golang.org/x/exp/constraints"
// insertionSortOrdered sorts data[a:b] using insertion sort.
func insertionSortOrdered[E constraints.Ordered](data []E, a, b int) {
for i := a + 1; i < b; i++ {
for j := i; j > a && cmpLess(data[j], data[j-1]); j-- {
data[j], data[j-1] = data[j-1], data[j]
}
}
}
// siftDownOrdered implements the heap property on data[lo:hi].
// first is an offset into the array where the root of the heap lies.
func siftDownOrdered[E constraints.Ordered](data []E, lo, hi, first int) {
root := lo
for {
child := 2*root + 1
if child >= hi {
break
}
if child+1 < hi && cmpLess(data[first+child], data[first+child+1]) {
child++
}
if !cmpLess(data[first+root], data[first+child]) {
return
}
data[first+root], data[first+child] = data[first+child], data[first+root]
root = child
}
}
func heapSortOrdered[E constraints.Ordered](data []E, a, b int) {
first := a
lo := 0
hi := b - a
// Build heap with greatest element at top.
for i := (hi - 1) / 2; i >= 0; i-- {
siftDownOrdered(data, i, hi, first)
}
// Pop elements, largest first, into end of data.
for i := hi - 1; i >= 0; i-- {
data[first], data[first+i] = data[first+i], data[first]
siftDownOrdered(data, lo, i, first)
}
}
// pdqsortOrdered sorts data[a:b].
// The algorithm based on pattern-defeating quicksort(pdqsort), but without the optimizations from BlockQuicksort.
// pdqsort paper: https://arxiv.org/pdf/2106.05123.pdf
// C++ implementation: https://github.com/orlp/pdqsort
// Rust implementation: https://docs.rs/pdqsort/latest/pdqsort/
// limit is the number of allowed bad (very unbalanced) pivots before falling back to heapsort.
func pdqsortOrdered[E constraints.Ordered](data []E, a, b, limit int) {
const maxInsertion = 12
var (
wasBalanced = true // whether the last partitioning was reasonably balanced
wasPartitioned = true // whether the slice was already partitioned
)
for {
length := b - a
if length <= maxInsertion {
insertionSortOrdered(data, a, b)
return
}
// Fall back to heapsort if too many bad choices were made.
if limit == 0 {
heapSortOrdered(data, a, b)
return
}
// If the last partitioning was imbalanced, we need to breaking patterns.
if !wasBalanced {
breakPatternsOrdered(data, a, b)
limit--
}
pivot, hint := choosePivotOrdered(data, a, b)
if hint == decreasingHint {
reverseRangeOrdered(data, a, b)
// The chosen pivot was pivot-a elements after the start of the array.
// After reversing it is pivot-a elements before the end of the array.
// The idea came from Rust's implementation.
pivot = (b - 1) - (pivot - a)
hint = increasingHint
}
// The slice is likely already sorted.
if wasBalanced && wasPartitioned && hint == increasingHint {
if partialInsertionSortOrdered(data, a, b) {
return
}
}
// Probably the slice contains many duplicate elements, partition the slice into
// elements equal to and elements greater than the pivot.
if a > 0 && !cmpLess(data[a-1], data[pivot]) {
mid := partitionEqualOrdered(data, a, b, pivot)
a = mid
continue
}
mid, alreadyPartitioned := partitionOrdered(data, a, b, pivot)
wasPartitioned = alreadyPartitioned
leftLen, rightLen := mid-a, b-mid
balanceThreshold := length / 8
if leftLen < rightLen {
wasBalanced = leftLen >= balanceThreshold
pdqsortOrdered(data, a, mid, limit)
a = mid + 1
} else {
wasBalanced = rightLen >= balanceThreshold
pdqsortOrdered(data, mid+1, b, limit)
b = mid
}
}
}
// partitionOrdered does one quicksort partition.
// Let p = data[pivot]
// Moves elements in data[a:b] around, so that data[i]<p and data[j]>=p for i<newpivot and j>newpivot.
// On return, data[newpivot] = p
func partitionOrdered[E constraints.Ordered](data []E, a, b, pivot int) (newpivot int, alreadyPartitioned bool) {
data[a], data[pivot] = data[pivot], data[a]
i, j := a+1, b-1 // i and j are inclusive of the elements remaining to be partitioned
for i <= j && cmpLess(data[i], data[a]) {
i++
}
for i <= j && !cmpLess(data[j], data[a]) {
j--
}
if i > j {
data[j], data[a] = data[a], data[j]
return j, true
}
data[i], data[j] = data[j], data[i]
i++
j--
for {
for i <= j && cmpLess(data[i], data[a]) {
i++
}
for i <= j && !cmpLess(data[j], data[a]) {
j--
}
if i > j {
break
}
data[i], data[j] = data[j], data[i]
i++
j--
}
data[j], data[a] = data[a], data[j]
return j, false
}
// partitionEqualOrdered partitions data[a:b] into elements equal to data[pivot] followed by elements greater than data[pivot].
// It assumed that data[a:b] does not contain elements smaller than the data[pivot].
func partitionEqualOrdered[E constraints.Ordered](data []E, a, b, pivot int) (newpivot int) {
data[a], data[pivot] = data[pivot], data[a]
i, j := a+1, b-1 // i and j are inclusive of the elements remaining to be partitioned
for {
for i <= j && !cmpLess(data[a], data[i]) {
i++
}
for i <= j && cmpLess(data[a], data[j]) {
j--
}
if i > j {
break
}
data[i], data[j] = data[j], data[i]
i++
j--
}
return i
}
// partialInsertionSortOrdered partially sorts a slice, returns true if the slice is sorted at the end.
func partialInsertionSortOrdered[E constraints.Ordered](data []E, a, b int) bool {
const (
maxSteps = 5 // maximum number of adjacent out-of-order pairs that will get shifted
shortestShifting = 50 // don't shift any elements on short arrays
)
i := a + 1
for j := 0; j < maxSteps; j++ {
for i < b && !cmpLess(data[i], data[i-1]) {
i++
}
if i == b {
return true
}
if b-a < shortestShifting {
return false
}
data[i], data[i-1] = data[i-1], data[i]
// Shift the smaller one to the left.
if i-a >= 2 {
for j := i - 1; j >= 1; j-- {
if !cmpLess(data[j], data[j-1]) {
break
}
data[j], data[j-1] = data[j-1], data[j]
}
}
// Shift the greater one to the right.
if b-i >= 2 {
for j := i + 1; j < b; j++ {
if !cmpLess(data[j], data[j-1]) {
break
}
data[j], data[j-1] = data[j-1], data[j]
}
}
}
return false
}
// breakPatternsOrdered scatters some elements around in an attempt to break some patterns
// that might cause imbalanced partitions in quicksort.
func breakPatternsOrdered[E constraints.Ordered](data []E, a, b int) {
length := b - a
if length >= 8 {
random := xorshift(length)
modulus := nextPowerOfTwo(length)
for idx := a + (length/4)*2 - 1; idx <= a+(length/4)*2+1; idx++ {
other := int(uint(random.Next()) & (modulus - 1))
if other >= length {
other -= length
}
data[idx], data[a+other] = data[a+other], data[idx]
}
}
}
// choosePivotOrdered chooses a pivot in data[a:b].
//
// [0,8): chooses a static pivot.
// [8,shortestNinther): uses the simple median-of-three method.
// [shortestNinther,∞): uses the Tukey ninther method.
func choosePivotOrdered[E constraints.Ordered](data []E, a, b int) (pivot int, hint sortedHint) {
const (
shortestNinther = 50
maxSwaps = 4 * 3
)
l := b - a
var (
swaps int
i = a + l/4*1
j = a + l/4*2
k = a + l/4*3
)
if l >= 8 {
if l >= shortestNinther {
// Tukey ninther method, the idea came from Rust's implementation.
i = medianAdjacentOrdered(data, i, &swaps)
j = medianAdjacentOrdered(data, j, &swaps)
k = medianAdjacentOrdered(data, k, &swaps)
}
// Find the median among i, j, k and stores it into j.
j = medianOrdered(data, i, j, k, &swaps)
}
switch swaps {
case 0:
return j, increasingHint
case maxSwaps:
return j, decreasingHint
default:
return j, unknownHint
}
}
// order2Ordered returns x,y where data[x] <= data[y], where x,y=a,b or x,y=b,a.
func order2Ordered[E constraints.Ordered](data []E, a, b int, swaps *int) (int, int) {
if cmpLess(data[b], data[a]) {
*swaps++
return b, a
}
return a, b
}
// medianOrdered returns x where data[x] is the median of data[a],data[b],data[c], where x is a, b, or c.
func medianOrdered[E constraints.Ordered](data []E, a, b, c int, swaps *int) int {
a, b = order2Ordered(data, a, b, swaps)
b, c = order2Ordered(data, b, c, swaps)
a, b = order2Ordered(data, a, b, swaps)
return b
}
// medianAdjacentOrdered finds the median of data[a - 1], data[a], data[a + 1] and stores the index into a.
func medianAdjacentOrdered[E constraints.Ordered](data []E, a int, swaps *int) int {
return medianOrdered(data, a-1, a, a+1, swaps)
}
func reverseRangeOrdered[E constraints.Ordered](data []E, a, b int) {
i := a
j := b - 1
for i < j {
data[i], data[j] = data[j], data[i]
i++
j--
}
}
func swapRangeOrdered[E constraints.Ordered](data []E, a, b, n int) {
for i := 0; i < n; i++ {
data[a+i], data[b+i] = data[b+i], data[a+i]
}
}
func stableOrdered[E constraints.Ordered](data []E, n int) {
blockSize := 20 // must be > 0
a, b := 0, blockSize
for b <= n {
insertionSortOrdered(data, a, b)
a = b
b += blockSize
}
insertionSortOrdered(data, a, n)
for blockSize < n {
a, b = 0, 2*blockSize
for b <= n {
symMergeOrdered(data, a, a+blockSize, b)
a = b
b += 2 * blockSize
}
if m := a + blockSize; m < n {
symMergeOrdered(data, a, m, n)
}
blockSize *= 2
}
}
// symMergeOrdered merges the two sorted subsequences data[a:m] and data[m:b] using
// the SymMerge algorithm from Pok-Son Kim and Arne Kutzner, "Stable Minimum
// Storage Merging by Symmetric Comparisons", in Susanne Albers and Tomasz
// Radzik, editors, Algorithms - ESA 2004, volume 3221 of Lecture Notes in
// Computer Science, pages 714-723. Springer, 2004.
//
// Let M = m-a and N = b-n. Wolog M < N.
// The recursion depth is bound by ceil(log(N+M)).
// The algorithm needs O(M*log(N/M + 1)) calls to data.Less.
// The algorithm needs O((M+N)*log(M)) calls to data.Swap.
//
// The paper gives O((M+N)*log(M)) as the number of assignments assuming a
// rotation algorithm which uses O(M+N+gcd(M+N)) assignments. The argumentation
// in the paper carries through for Swap operations, especially as the block
// swapping rotate uses only O(M+N) Swaps.
//
// symMerge assumes non-degenerate arguments: a < m && m < b.
// Having the caller check this condition eliminates many leaf recursion calls,
// which improves performance.
func symMergeOrdered[E constraints.Ordered](data []E, a, m, b int) {
// Avoid unnecessary recursions of symMerge
// by direct insertion of data[a] into data[m:b]
// if data[a:m] only contains one element.
if m-a == 1 {
// Use binary search to find the lowest index i
// such that data[i] >= data[a] for m <= i < b.
// Exit the search loop with i == b in case no such index exists.
i := m
j := b
for i < j {
h := int(uint(i+j) >> 1)
if cmpLess(data[h], data[a]) {
i = h + 1
} else {
j = h
}
}
// Swap values until data[a] reaches the position before i.
for k := a; k < i-1; k++ {
data[k], data[k+1] = data[k+1], data[k]
}
return
}
// Avoid unnecessary recursions of symMerge
// by direct insertion of data[m] into data[a:m]
// if data[m:b] only contains one element.
if b-m == 1 {
// Use binary search to find the lowest index i
// such that data[i] > data[m] for a <= i < m.
// Exit the search loop with i == m in case no such index exists.
i := a
j := m
for i < j {
h := int(uint(i+j) >> 1)
if !cmpLess(data[m], data[h]) {
i = h + 1
} else {
j = h
}
}
// Swap values until data[m] reaches the position i.
for k := m; k > i; k-- {
data[k], data[k-1] = data[k-1], data[k]
}
return
}
mid := int(uint(a+b) >> 1)
n := mid + m
var start, r int
if m > mid {
start = n - b
r = mid
} else {
start = a
r = m
}
p := n - 1
for start < r {
c := int(uint(start+r) >> 1)
if !cmpLess(data[p-c], data[c]) {
start = c + 1
} else {
r = c
}
}
end := n - start
if start < m && m < end {
rotateOrdered(data, start, m, end)
}
if a < start && start < mid {
symMergeOrdered(data, a, start, mid)
}
if mid < end && end < b {
symMergeOrdered(data, mid, end, b)
}
}
// rotateOrdered rotates two consecutive blocks u = data[a:m] and v = data[m:b] in data:
// Data of the form 'x u v y' is changed to 'x v u y'.
// rotate performs at most b-a many calls to data.Swap,
// and it assumes non-degenerate arguments: a < m && m < b.
func rotateOrdered[E constraints.Ordered](data []E, a, m, b int) {
i := m - a
j := b - m
for i != j {
if i > j {
swapRangeOrdered(data, m-i, m, j)
i -= j
} else {
swapRangeOrdered(data, m-i, m+j-i, i)
j -= i
}
}
// i == j
swapRangeOrdered(data, m-i, m, i)
}