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// Copyright (c) 2019-2020 Alexander Medvednikov. All rights reserved. | ||
// Use of this source code is governed by an MIT license | ||
// that can be found in the LICENSE file. | ||
module rand | ||
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import math.bits | ||
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/* | ||
C++ functions for MT19937, with initialization improved 2002/2/10. | ||
Coded by Takuji Nishimura and Makoto Matsumoto. | ||
This is a faster version by taking Shawn Cokus's optimization, | ||
Matthe Bellew's simplification, Isaku Wada's real version. | ||
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura, | ||
All rights reserved. | ||
Redistribution and use in source and binary forms, with or without | ||
modification, are permitted provided that the following conditions | ||
are met: | ||
1. Redistributions of source code must retain the above copyright | ||
notice, this list of conditions and the following disclaimer. | ||
2. 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. | ||
3. The names of its contributors may not 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. | ||
Any feedback is very welcome. | ||
http://www.math.keio.ac.jp/matumoto/emt.html | ||
email: matumoto@math.keio.ac.jp | ||
*/ | ||
const ( | ||
nn = 312 | ||
mm = 156 | ||
matrix_a = 0xB5026F5AA96619E9 | ||
um = 0xFFFFFFFF80000000 | ||
lm = 0x7FFFFFFF | ||
inv_f64_limit = 1.0 / 9007199254740992.0 | ||
) | ||
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// A generator that uses the Mersenne Twister algorithm with period 2^19937 | ||
pub struct MT19937RNG { | ||
mut: | ||
state []u64 = calculate_state(time_seed_array(2), mut []u64{len: nn}) | ||
mti int = nn | ||
next_rnd u32 = 0 | ||
has_next bool = false | ||
} | ||
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fn calculate_state(seed_data []u32, mut state []u64) []u64 { | ||
lo := u64(seed_data[0]) | ||
hi := u64(seed_data[1]) | ||
state[0] = u64((hi << 32) | lo) | ||
for j := 1; j < nn; j++ { | ||
state[j] = u64(6364136223846793005) * (state[j - 1] ^ (state[j - 1] >> 62)) + u64(j) | ||
} | ||
return state | ||
} | ||
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// seed() - Set the seed, needs only two u32s in little endian format as [lower, higher] | ||
pub fn (mut rng MT19937RNG) seed(seed_data []u32) { | ||
if seed_data.len != 2 { | ||
eprintln('mt19937 needs only two 32bit integers as seed: [lower, higher]') | ||
exit(1) | ||
} | ||
rng.state = calculate_state(seed_data, mut rng.state) | ||
rng.mti = nn | ||
rng.next_rnd = 0 | ||
rng.has_next = false | ||
} | ||
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// rng.u32() - return a pseudorandom 32bit int in [0, 2**32) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u32() u32 { | ||
if rng.has_next { | ||
rng.has_next = false | ||
return rng.next_rnd | ||
} | ||
ans := rng.u64() | ||
rng.next_rnd = u32(ans >> 32) | ||
rng.has_next = true | ||
return u32(ans & 0xffffffff) | ||
} | ||
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// rng.u64() - return a pseudorandom 64bit int in [0, 2**64) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u64() u64 { | ||
mag01 := [u64(0), u64(matrix_a)] | ||
mut x := u64(0) | ||
mut i := int(0) | ||
if rng.mti >= nn { | ||
for i = 0; i < nn - mm; i++ { | ||
x = (rng.state[i] & um) | (rng.state[i + 1] & lm) | ||
rng.state[i] = rng.state[i + mm] ^ (x >> 1) ^ mag01[int(x & 1)] | ||
} | ||
for i < nn - 1 { | ||
x = (rng.state[i] & um) | (rng.state[i + 1] & lm) | ||
rng.state[i] = rng.state[i + (mm - nn)] ^ (x >> 1) ^ mag01[int(x & 1)] | ||
i++ | ||
} | ||
x = (rng.state[nn - 1] & um) | (rng.state[0] & lm) | ||
rng.state[nn - 1] = rng.state[mm - 1] ^ (x >> 1) ^ mag01[int(x & 1)] | ||
rng.mti = 0 | ||
} | ||
x = rng.state[rng.mti] | ||
rng.mti++ | ||
x ^= (x >> 29) & 0x5555555555555555 | ||
x ^= (x << 17) & 0x71D67FFFEDA60000 | ||
x ^= (x << 37) & 0xFFF7EEE000000000 | ||
x ^= (x >> 43) | ||
return x | ||
} | ||
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// rng.int() - return a 32-bit signed (possibly negative) int | ||
[inline] | ||
pub fn (mut rng MT19937RNG) int() int { | ||
return int(rng.u32()) | ||
} | ||
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// rng.i64() - return a 64-bit signed (possibly negative) i64 | ||
[inline] | ||
pub fn (mut rng MT19937RNG) i64() i64 { | ||
return i64(rng.u64()) | ||
} | ||
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// rng.int31() - return a 31bit positive pseudorandom integer | ||
[inline] | ||
pub fn (mut rng MT19937RNG) int31() int { | ||
return int(rng.u32() >> 1) | ||
} | ||
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// rng.int63() - return a 63bit positive pseudorandom integer | ||
[inline] | ||
pub fn (mut rng MT19937RNG) int63() i64 { | ||
return i64(rng.u64() >> 1) | ||
} | ||
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// rng.u32n(max) - return a 32bit u32 in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u32n(max u32) u32 { | ||
if max == 0 { | ||
eprintln('max must be positive integer') | ||
exit(1) | ||
} | ||
// Check SysRNG in system_rng.c.v for explanation | ||
bit_len := bits.len_32(max) | ||
if bit_len == 32 { | ||
for { | ||
value := rng.u32() | ||
if value < max { | ||
return value | ||
} | ||
} | ||
} else { | ||
mask := (u32(1) << (bit_len + 1)) - 1 | ||
for { | ||
value := rng.u32() & mask | ||
if value < max { | ||
return value | ||
} | ||
} | ||
} | ||
return u32(0) | ||
} | ||
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// rng.u64n(max) - return a 64bit u64 in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u64n(max u64) u64 { | ||
if max == 0 { | ||
eprintln('max must be positive integer') | ||
exit(1) | ||
} | ||
bit_len := bits.len_64(max) | ||
if bit_len == 64 { | ||
for { | ||
value := rng.u64() | ||
if value < max { | ||
return value | ||
} | ||
} | ||
} else { | ||
mask := (u64(1) << (bit_len + 1)) - 1 | ||
for { | ||
value := rng.u64() & mask | ||
if value < max { | ||
return value | ||
} | ||
} | ||
} | ||
return u64(0) | ||
} | ||
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// rng.u32n(min, max) returns a pseudorandom u32 value that is guaranteed to be in [min, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u32_in_range(min, max u32) u32 { | ||
if max <= min { | ||
eprintln('max must be greater than min') | ||
exit(1) | ||
} | ||
return min + rng.u32n(max - min) | ||
} | ||
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// rng.u64n(min, max) returns a pseudorandom u64 value that is guaranteed to be in [min, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) u64_in_range(min, max u64) u64 { | ||
if max <= min { | ||
eprintln('max must be greater than min') | ||
exit(1) | ||
} | ||
return min + rng.u64n(max - min) | ||
} | ||
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// rng.intn(max) - return a 32bit positive int in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) intn(max int) int { | ||
if max <= 0 { | ||
eprintln('max has to be positive.') | ||
exit(1) | ||
} | ||
return int(rng.u32n(max)) | ||
} | ||
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// rng.i64n(max) - return a 64bit positive i64 in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) i64n(max i64) i64 { | ||
if max <= 0 { | ||
eprintln('max has to be positive.') | ||
exit(1) | ||
} | ||
return i64(rng.u64n(max)) | ||
} | ||
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// rng.int_in_range(min, max) - return a 32bit positive int in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) int_in_range(min, max int) int { | ||
if max <= min { | ||
eprintln('max must be greater than min.') | ||
exit(1) | ||
} | ||
return min + rng.intn(max - min) | ||
} | ||
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// rng.i64_in_range(min, max) - return a 64bit positive i64 in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) i64_in_range(min, max i64) i64 { | ||
if max <= min { | ||
eprintln('max must be greater than min.') | ||
exit(1) | ||
} | ||
return min + rng.i64n(max - min) | ||
} | ||
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// rng.f32() - return a 32bit real in [0, 1) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f32() f32 { | ||
return f32(rng.f64()) | ||
} | ||
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// rng.f64() - return 64bit real in [0, 1) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f64() f64 { | ||
return f64(rng.u64() >> 11) * inv_f64_limit | ||
} | ||
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// rng.f32n(max) - return 64bit real in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f32n(max f32) f32 { | ||
if max <= 0 { | ||
eprintln('max has to be positive.') | ||
exit(1) | ||
} | ||
return rng.f32() * max | ||
} | ||
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// rng.f64n(max) - return 64bit real in [0, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f64n(max f64) f64 { | ||
if max <= 0 { | ||
eprintln('max has to be positive.') | ||
exit(1) | ||
} | ||
return rng.f64() * max | ||
} | ||
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// rng.f32_in_range(min, max) returns a pseudorandom f32 that lies in [min, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f32_in_range(min, max f32) f32 { | ||
if max <= min { | ||
eprintln('max must be greater than min') | ||
exit(1) | ||
} | ||
return min + rng.f32n(max - min) | ||
} | ||
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// rng.i64_in_range(min, max) returns a pseudorandom i64 that lies in [min, max) | ||
[inline] | ||
pub fn (mut rng MT19937RNG) f64_in_range(min, max f64) f64 { | ||
if max <= min { | ||
eprintln('max must be greater than min') | ||
exit(1) | ||
} | ||
return min + rng.f64n(max - min) | ||
} |
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