opnsense-src/contrib/bc/scripts/sqrt_random.bc
Stefan Eßer f4fbc49d20 vendor/bc: upgrade to version 6.7.5
This update fixes a bug that line breaks in printed numbers may not
match the line length set by the user. The value is printed correctly,
just not split as specified in some situations.

(cherry picked from commit 52a5ec1b178fd07651446c7e31b1512794a04dbf)
2024-01-10 17:36:29 +01:00

129 lines
3.1 KiB
Text

#! /usr/bin/bc
#
# SPDX-License-Identifier: BSD-2-Clause
#
# Copyright (c) 2018-2023 Gavin D. Howard and contributors.
#
# 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.
#
# 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 HOLDER 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.
#
scale = 0
bits = rand()
# This extracts a bit and takes it out of the original value.
#
# Here, I am getting a bit to say whether we should have a value that is less
# than 1.
bits = divmod(bits, 2, negpow[])
# Get a bit that will say whether the value should be an exact square.
bits = divmod(bits, 2, square[])
# See below. This is to help bias toward small numbers.
pow = 4
# I want to bias toward small numbers, so let's give a 50 percent chance to
# values below 16 or so.
bits = divmod(bits, 2, small[])
# Let's keep raising the power limit by 2^4 when the bit is zero.
while (!small[0])
{
pow += 4
bits = divmod(bits, 2, small[])
}
limit = 2^pow
# Okay, this is the starting number.
num = irand(limit) + 1
# Figure out if we should have (more) fractional digits.
bits = divmod(bits, 2, extra_digits[])
if (square[0])
{
# Okay, I lied. If we need a perfect square, square now.
num *= num
# If we need extra digits, we need to multiply by an even power of 10.
if (extra_digits[0])
{
extra = (irand(8) + 1) * 2
}
else
{
extra = 0
}
# If we need a number less than 1, just take the inverse, which will still
# be a perfect square.
if (negpow[0])
{
scale = length(num) + 5
num = 1/num
scale = 0
num >>= extra
}
else
{
num <<= extra
}
}
else
{
# Get this for later.
l = length(num)
# If we need extra digits.
if (extra_digits[0])
{
# Add up to 32 decimal places.
num += frand(irand(32) + 1)
}
# If we need a value less than 1...
if (negpow[0])
{
# Move right until the number is
num >>= l
}
}
bits = divmod(bits, 2, zero_scale[])
# Do we want a zero scale?
if (zero_scale[0])
{
print "scale = 0\n"
}
else
{
print "scale = 20\n"
}
print "sqrt(", num, ")\n"
halt