187 lines
5.8 KiB
V
187 lines
5.8 KiB
V
// Copyright (c) 2019-2022 Alexander Medvednikov. All rights reserved.
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// Use of this source code is governed by an MIT license
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// that can be found in the LICENSE file.
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module mt19937
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import rand.seed
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/*
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C++ functions for MT19937, with initialization improved 2002/2/10.
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Coded by Takuji Nishimura and Makoto Matsumoto.
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This is a faster version by taking Shawn Cokus's optimization,
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Matthe Bellew's simplification, Isaku Wada's real version.
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Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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3. The names of its contributors may not be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
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CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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Any feedback is very welcome.
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http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
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email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
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*/
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pub const seed_len = 2
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const (
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nn = 312
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mm = 156
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matrix_a = 0xB5026F5AA96619E9
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um = 0xFFFFFFFF80000000
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lm = 0x7FFFFFFF
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inv_f64_limit = 1.0 / 9007199254740992.0
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)
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// MT19937RNG is generator that uses the Mersenne Twister algorithm with period 2^19937.
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// **NOTE**: The RNG is not seeded when instantiated so remember to seed it before use.
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pub struct MT19937RNG {
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mut:
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state []u64 = get_first_state(seed.time_seed_array(2))
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mti int = mt19937.nn
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bytes_left int
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buffer u64
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}
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fn get_first_state(seed_data []u32) []u64 {
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mut state := []u64{len: mt19937.nn}
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calculate_state(seed_data, mut state)
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return state
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}
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// calculate_state returns a random state array calculated from the `seed_data`.
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fn calculate_state(seed_data []u32, mut state []u64) []u64 {
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lo := u64(seed_data[0])
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hi := u64(seed_data[1])
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state[0] = u64((hi << 32) | lo)
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for j := 1; j < mt19937.nn; j++ {
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state[j] = u64(6364136223846793005) * (state[j - 1] ^ (state[j - 1] >> 62)) + u64(j)
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}
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return *state
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}
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// seed sets the current random state based on `seed_data`.
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// seed expects `seed_data` to be only two `u32`s in little-endian format as [lower, higher].
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pub fn (mut rng MT19937RNG) seed(seed_data []u32) {
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if seed_data.len != 2 {
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eprintln('mt19937 needs only two 32bit integers as seed: [lower, higher]')
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exit(1)
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}
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rng.state = calculate_state(seed_data, mut rng.state)
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rng.mti = mt19937.nn
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rng.bytes_left = 0
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rng.buffer = 0
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}
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// byte returns a uniformly distributed pseudorandom 8-bit unsigned positive `byte`.
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[inline]
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pub fn (mut rng MT19937RNG) byte() byte {
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if rng.bytes_left >= 1 {
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rng.bytes_left -= 1
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value := byte(rng.buffer)
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rng.buffer >>= 8
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return value
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}
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rng.buffer = rng.u64()
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rng.bytes_left = 7
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value := byte(rng.buffer)
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rng.buffer >>= 8
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return value
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}
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// u16 returns a pseudorandom 16bit int in range `[0, 2¹⁶)`.
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[inline]
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pub fn (mut rng MT19937RNG) u16() u16 {
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if rng.bytes_left >= 2 {
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rng.bytes_left -= 2
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value := u16(rng.buffer)
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rng.buffer >>= 16
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return value
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}
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ans := rng.u64()
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rng.buffer = ans >> 16
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rng.bytes_left = 6
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return u16(ans)
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}
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// u32 returns a pseudorandom 32bit int in range `[0, 2³²)`.
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[inline]
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pub fn (mut rng MT19937RNG) u32() u32 {
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// Can we take a whole u32 out of the buffer?
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if rng.bytes_left >= 4 {
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rng.bytes_left -= 4
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value := u32(rng.buffer)
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rng.buffer >>= 32
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return value
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}
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ans := rng.u64()
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rng.buffer = ans >> 32
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rng.bytes_left = 4
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return u32(ans)
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}
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// u64 returns a pseudorandom 64bit int in range `[0, 2⁶⁴)`.
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[inline]
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pub fn (mut rng MT19937RNG) u64() u64 {
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mag01 := [u64(0), u64(mt19937.matrix_a)]
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mut x := u64(0)
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mut i := int(0)
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if rng.mti >= mt19937.nn {
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for i = 0; i < mt19937.nn - mt19937.mm; i++ {
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x = (rng.state[i] & mt19937.um) | (rng.state[i + 1] & mt19937.lm)
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rng.state[i] = rng.state[i + mt19937.mm] ^ (x >> 1) ^ mag01[int(x & 1)]
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}
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for i < mt19937.nn - 1 {
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x = (rng.state[i] & mt19937.um) | (rng.state[i + 1] & mt19937.lm)
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rng.state[i] = rng.state[i + (mt19937.mm - mt19937.nn)] ^ (x >> 1) ^ mag01[int(x & 1)]
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i++
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}
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x = (rng.state[mt19937.nn - 1] & mt19937.um) | (rng.state[0] & mt19937.lm)
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rng.state[mt19937.nn - 1] = rng.state[mt19937.mm - 1] ^ (x >> 1) ^ mag01[int(x & 1)]
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rng.mti = 0
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}
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x = rng.state[rng.mti]
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rng.mti++
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x ^= (x >> 29) & 0x5555555555555555
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x ^= (x << 17) & 0x71D67FFFEDA60000
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x ^= (x << 37) & 0xFFF7EEE000000000
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x ^= (x >> 43)
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return x
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}
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// block_size returns the number of bits that the RNG can produce in a single iteration.
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[inline]
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pub fn (mut rng MT19937RNG) block_size() int {
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return 64
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}
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// free should be called when the generator is no longer needed
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[unsafe]
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pub fn (mut rng MT19937RNG) free() {
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unsafe { free(rng) }
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}
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