Files
Odin/tests/core/math/big/generate_tests.py
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gingerBill 842cfee0f3 Change Odin's LICENSE to zlib from BSD 3-clause
This change was made in order to allow things produced with Odin and using Odin's core library, to not require the LICENSE to also be distributed alongside the binary form.
2025-10-28 14:38:25 +00:00

648 lines
28 KiB
Python

#
# Copyright 2021 Jeroen van Rijn <nom@duclavier.com>.
# Made available under Odin's license.
#
# A BigInt implementation in Odin.
# For the theoretical underpinnings, see Knuth's The Art of Computer Programming, Volume 2, section 4.3.
# The code started out as an idiomatic source port of libTomMath, which is in the public domain, with thanks.
#
from random import *
import math
import os
import platform
import time
import gc
from enum import Enum
import argparse
LEG_BITS = 60
vectors = open('../test_vectors.odin', 'w')
vectors.write("""package test_core_math_big
import "core:math/big"
// GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED
//
// This file is generated using `test_generator.py`
//
// GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED -=- GENERATED
Big_Test_Operation :: enum {
Add,
Sub,
Mul,
Div,
Sqr,
Log,
Sqrt,
Pow,
Root,
Shl,
Shr,
Shr_Signed,
Factorial,
Gcd,
Lcm,
Is_Square,
}
Big_Test_Vector :: struct {
op: Big_Test_Operation,
a: string,
b: string,
exp: string,
err: big.Error,
}
big_test_vectors := []Big_Test_Vector{
""")
parser = argparse.ArgumentParser(
description = "Odin core:math/big test suite generator",
epilog = "By default we generate regression and random tests with preset parameters.",
formatter_class = argparse.ArgumentDefaultsHelpFormatter,
)
#
# We skip randomized tests altogether if this is set.
#
no_random = parser.add_mutually_exclusive_group()
no_random.add_argument(
"-no-random",
help = "Don't generate random tests",
action = "store_true",
)
#
# Normally we run a given number of cycles on each test.
# Timed tests budget 1 second per 20_000 bits instead.
#
# For timed tests we budget a second per `n` bits and iterate until we hit that time.
#
timed_or_fast = no_random.add_mutually_exclusive_group()
timed_or_fast.add_argument(
"-timed",
type = bool,
default = False,
help = "Timed tests instead of a preset number of iterations.",
)
parser.add_argument(
"-timed-bits",
type = int,
metavar = "BITS",
default = 20_000,
help = "Timed tests. Every `BITS` worth of input is given a second of running time.",
)
#
# For normal tests (non-timed), `-fast-tests` cuts down on the number of iterations.
#
timed_or_fast.add_argument(
"-fast-tests",
help = "Cut down on the number of iterations of each test",
action = "store_true",
)
args = parser.parse_args()
#
# How many iterations of each random test do we want to run?
#
BITS_AND_ITERATIONS = [
( 120, 100),
( 1_200, 100),
( 4_096, 100),
(12_000, 10),
]
if args.fast_tests:
for k in range(len(BITS_AND_ITERATIONS)):
b, i = BITS_AND_ITERATIONS[k]
BITS_AND_ITERATIONS[k] = (b, i // 10 if i >= 100 else 5)
if args.no_random:
BITS_AND_ITERATIONS = []
TOTAL_TIME = 0
UNTIL_TIME = 0
UNTIL_ITERS = 0
def we_iterate():
if args.timed:
return TOTAL_TIME < UNTIL_TIME
else:
global UNTIL_ITERS
UNTIL_ITERS -= 1
return UNTIL_ITERS != -1
#
# Error enum values
#
class Error(Enum):
Okay = 0
Out_Of_Memory = 1
Invalid_Pointer = 2
Invalid_Argument = 3
Unknown_Error = 4
Assignment_To_Immutable = 10
Max_Iterations_Reached = 11
Buffer_Overflow = 12
Integer_Overflow = 13
Integer_Underflow = 14
Division_by_Zero = 30
Math_Domain_Error = 31
Cannot_Open_File = 50
Cannot_Read_File = 51
Cannot_Write_File = 52
Unimplemented = 127
#
# Disable garbage collection
#
gc.disable()
def arg_to_odin(a):
if a >= 0:
s = hex(a)[2:]
else:
s = '-' + hex(a)[3:]
return s.encode('utf-8')
def big_integer_sqrt(src):
# The Python version on Github's CI doesn't offer math.isqrt.
# We implement our own
count = src.bit_length()
a, b = count >> 1, count & 1
x = 1 << (a + b)
while True:
# y = (x + n // x) // 2
t1 = src // x
t2 = t1 + x
y = t2 >> 1
if y >= x:
return x
x, y = y, x
def big_integer_lcm(a, b):
# Computes least common multiple as `|a*b|/gcd(a,b)`
# Divide the smallest by the GCD.
if a == 0 or b == 0:
return 0
if abs(a) < abs(b):
# Store quotient in `t2` such that `t2 * b` is the LCM.
lcm = a // math.gcd(a, b)
return abs(b * lcm)
else:
# Store quotient in `t2` such that `t2 * a` is the LCM.
lcm = b // math.gcd(a, b)
return abs(a * lcm)
def write_test_case(op = "", a = 0, b = 0, expected_result = 0, expected_error = Error.Okay):
def test_arg_to_odin(a):
if a >= 0:
s = hex(a)[2:]
else:
s = '-' + hex(a)[3:]
return s
vectors.write("\t{{{}, ".format(op))
vectors.write("\"{}\", ".format(test_arg_to_odin(a)))
vectors.write("\"{}\", ".format(test_arg_to_odin(b)))
if expected_result == None:
vectors.write("\"0\", ")
else:
vectors.write("\"{}\", ".format(test_arg_to_odin(expected_result)))
vectors.write("{}}},\n".format(expected_error)[5:])
def test_add(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
expected_result = a + b
write_test_case(".Add", a, b, expected_result, expected_error)
def test_sub(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
expected_result = a - b
write_test_case(".Sub", a, b, expected_result, expected_error)
def test_mul(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
expected_result = a * b
write_test_case(".Mul", a, b, expected_result, expected_error)
def test_sqr(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a)]
expected_result = None
if expected_error == Error.Okay:
expected_result = a * a
write_test_case(".Sqr", a, b, expected_result, expected_error)
def test_div(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
#
# We don't round the division results, so if one component is negative, we're off by one.
#
if a < 0 and b > 0:
expected_result = int(-(abs(a) // b))
elif b < 0 and a > 0:
expected_result = int(-(a // abs((b))))
else:
expected_result = a // b if b != 0 else None
write_test_case(".Div", a, b, expected_result, expected_error)
def test_log(a = 0, base = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), base]
expected_result = None
if expected_error == Error.Okay:
expected_result = int(math.log(a, base))
write_test_case(".Log", a, base, expected_result, expected_error)
def test_pow(base = 0, power = 0, expected_error = Error.Okay):
args = [arg_to_odin(base), power]
expected_result = None
if expected_error == Error.Okay:
if power < 0:
expected_result = 0
else:
# NOTE(Jeroen): Don't use `math.pow`, it's a floating point approximation.
# Use built-in `pow` or `a**b` instead.
expected_result = pow(base, power)
write_test_case(".Pow", base, power, expected_result, expected_error)
def test_sqrt(number = 0, expected_error = Error.Okay):
args = [arg_to_odin(number)]
expected_result = None
if expected_error == Error.Okay:
if number < 0:
expected_result = 0
else:
expected_result = big_integer_sqrt(number)
write_test_case(".Sqrt", number, 0, expected_result, expected_error)
def root_n(number, root):
u, s = number, number + 1
while u < s:
s = u
t = (root-1) * s + number // pow(s, root - 1)
u = t // root
return s
def test_root_n(number = 0, root = 0, expected_error = Error.Okay):
args = [arg_to_odin(number), root]
expected_result = None
if expected_error == Error.Okay:
if number < 0:
expected_result = 0
else:
expected_result = root_n(number, root)
write_test_case(".Root", number, root, expected_result, expected_error)
def test_shl_leg(a = 0, digits = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), digits]
expected_result = None
if expected_error == Error.Okay:
expected_result = a << (digits * LEG_BITS)
write_test_case(".Shl", a, (digits * LEG_BITS), expected_result, expected_error)
def test_shr_leg(a = 0, digits = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), digits]
expected_result = None
if expected_error == Error.Okay:
if a < 0:
# Don't pass negative numbers. We have a shr_signed.
return False
else:
expected_result = a >> (digits * LEG_BITS)
write_test_case(".Shr", a, (digits * LEG_BITS), expected_result, expected_error)
def test_shl(a = 0, bits = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), bits]
expected_result = None
if expected_error == Error.Okay:
expected_result = a << bits
write_test_case(".Shl", a, bits, expected_result, expected_error)
def test_shr(a = 0, bits = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), bits]
expected_result = None
if expected_error == Error.Okay:
if a < 0:
# Don't pass negative numbers. We have a shr_signed.
return False
else:
expected_result = a >> bits
write_test_case(".Shr", a, bits, expected_result, expected_error)
def test_shr_signed(a = 0, bits = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), bits]
expected_result = None
if expected_error == Error.Okay:
expected_result = a >> bits
write_test_case(".Shr_Signed", a, bits, expected_result, expected_error)
def test_factorial(number = 0, expected_error = Error.Okay):
args = [number]
expected_result = None
if expected_error == Error.Okay:
expected_result = math.factorial(number)
write_test_case(".Factorial", number, 0, expected_result, expected_error)
def test_gcd(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
expected_result = math.gcd(a, b)
write_test_case(".Gcd", a, b, expected_result, expected_error)
def test_lcm(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a), arg_to_odin(b)]
expected_result = None
if expected_error == Error.Okay:
expected_result = big_integer_lcm(a, b)
write_test_case(".Lcm", a, b, expected_result, expected_error)
def test_is_square(a = 0, b = 0, expected_error = Error.Okay):
args = [arg_to_odin(a)]
expected_result = False
if expected_error == Error.Okay and a > 0:
expected_result = big_integer_sqrt(a) ** 2 == a
write_test_case(".Is_Square", a, 0, expected_result, expected_error)
# TODO(Jeroen): Make sure tests cover edge cases, fast paths, and so on.
#
# The last two arguments in tests are the expected error and expected result.
#
# The expected error defaults to None.
# By default the Odin implementation will be tested against the Python one.
# You can override that by supplying an expected result as the last argument instead.
TESTS = {
test_add: [
[ 1234, 5432],
],
test_sub: [
[ 1234, 5432],
],
test_mul: [
[ 1234, 5432],
[ 0xd3b4e926aaba3040e1c12b5ea553b5, 0x1a821e41257ed9281bee5bc7789ea7 ],
[ 1 << 21_105, 1 << 21_501 ],
[
0x200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,
0x200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,
]
],
test_sqr: [
[ 5432],
[ 0xd3b4e926aaba3040e1c12b5ea553b5 ],
],
test_div: [
[ 54321, 12345],
[ 55431, 0, Error.Division_by_Zero],
[ 12980742146337069150589594264770969721, 4611686018427387904 ],
[ 831956404029821402159719858789932422, 243087903122332132 ],
],
test_log: [
[ 3192, 1, Error.Invalid_Argument],
[ -1234, 2, Error.Math_Domain_Error],
[ 0, 2, Error.Math_Domain_Error],
[ 1024, 2],
],
test_pow: [
[ 0, -1, Error.Math_Domain_Error ], # Math
[ 0, 0 ], # 1
[ 0, 2 ], # 0
[ 42, -1,], # 0
[ 42, 1 ], # 1
[ 42, 0 ], # 42
[ 42, 2 ], # 42*42
[ 1023423462055631945665902260039819522, 6],
[ 2351415513563017480724958108064794964140712340951636081608226461329298597792428177392182921045756382154475969841516481766099091057155043079113409578271460350765774152509347176654430118446048617733844782454267084644777022821998489944144604889308377152515711394170267839394315842510152114743680838721625924309675796181595284284935359605488617487126635442626578631, 4],
],
test_sqrt: [
[ -1, Error.Invalid_Argument, ],
[ 42, Error.Okay, ],
[ 12345678901234567890, Error.Okay, ],
[ 1298074214633706907132624082305024, Error.Okay, ],
[ 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, Error.Okay, ],
],
test_root_n: [
[ 1298074214633706907132624082305024, 2, Error.Okay, ],
],
test_shl_leg: [
[ 3192, 1 ],
[ 1298074214633706907132624082305024, 2 ],
[ 1024, 3 ],
],
test_shr_leg: [
[ 3680125442705055547392, 1 ],
[ 1725436586697640946858688965569256363112777243042596638790631055949824, 2 ],
[ 219504133884436710204395031992179571, 2 ],
],
test_shl: [
[ 3192, 1 ],
[ 1298074214633706907132624082305024, 2 ],
[ 1024, 3 ],
],
test_shr: [
[ 3680125442705055547392, 1 ],
[ 1725436586697640946858688965569256363112777243042596638790631055949824, 2 ],
[ 219504133884436710204395031992179571, 2 ],
],
test_shr_signed: [
[ -611105530635358368578155082258244262, 12 ],
[ -149195686190273039203651143129455, 12 ],
[ 611105530635358368578155082258244262, 12 ],
[ 149195686190273039203651143129455, 12 ],
],
test_factorial: [
[ 6_000 ], # Regular factorial, see cutoff in common.odin.
[ 12_345 ], # Binary split factorial
],
test_gcd: [
[ 23, 25, ],
[ 125, 25, ],
[ 125, 0, ],
[ 0, 0, ],
[ 0, 125,],
],
test_lcm: [
[ 23, 25,],
[ 125, 25, ],
[ 125, 0, ],
[ 0, 0, ],
[ 0, 125,],
],
test_is_square: [
[ 12, ],
[ 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, ]
],
}
if not args.fast_tests:
TESTS[test_factorial].append(
# This one on its own takes around 800ms, so we exclude it for FAST_TESTS
[ 10_000 ],
)
total_passes = 0
total_failures = 0
#
# test_shr_signed also tests shr, so we're not going to test shr randomly.
#
RANDOM_TESTS = [
test_add, test_sub, test_mul, test_sqr,
test_log, test_pow, test_sqrt, test_root_n,
test_shl_leg, test_shr_leg, test_shl, test_shr_signed,
test_gcd, test_lcm, test_is_square, test_div,
]
SKIP_LARGE = [
test_pow, test_root_n, # test_gcd,
]
SKIP_LARGEST = []
# Untimed warmup.
for test_proc in TESTS:
for t in TESTS[test_proc]:
res = test_proc(*t)
if __name__ == '__main__':
print("\n---- math/big tests ----")
print()
max_name = 0
for test_proc in TESTS:
max_name = max(max_name, len(test_proc.__name__))
fmt_string = "{name:>{max_name}}, {test_count} tests"
fmt_string = fmt_string.replace("{max_name}", str(max_name))
for test_proc in TESTS:
count = 0
for t in TESTS[test_proc]:
count += 1
test_proc(*t)
print(fmt_string.format(name=test_proc.__name__, test_count=count))
for BITS, ITERATIONS in BITS_AND_ITERATIONS:
print()
print("---- math/big with two random {bits:,} bit numbers ----".format(bits=BITS))
print()
#
# We've already tested up to the 10th root.
#
TEST_ROOT_N_PARAMS = [2, 3, 4, 5, 6]
for test_proc in RANDOM_TESTS:
if BITS > 1_200 and test_proc in SKIP_LARGE: continue
if BITS > 4_096 and test_proc in SKIP_LARGEST: continue
count = 0
UNTIL_ITERS = ITERATIONS
if test_proc == test_root_n and BITS == 1_200:
UNTIL_ITERS /= 10
UNTIL_TIME = TOTAL_TIME + BITS / args.timed_bits
# We run each test for a second per 20k bits
index = 0
while we_iterate():
a = randint(-(1 << BITS), 1 << BITS)
b = randint(-(1 << BITS), 1 << BITS)
if test_proc == test_div:
# We've already tested division by zero above.
bits = int(BITS * 0.6)
b = randint(-(1 << bits), 1 << bits)
if b == 0:
b == 42
elif test_proc == test_log:
# We've already tested log's domain errors.
a = randint(1, 1 << BITS)
b = randint(2, 1 << 60)
elif test_proc == test_pow:
b = randint(1, 10)
elif test_proc == test_sqrt:
a = randint(1, 1 << BITS)
b = Error.Okay
elif test_proc == test_root_n:
a = randint(1, 1 << BITS)
b = TEST_ROOT_N_PARAMS[index]
index = (index + 1) % len(TEST_ROOT_N_PARAMS)
elif test_proc == test_shl_leg:
b = randint(0, 10);
elif test_proc == test_shr_leg:
a = abs(a)
b = randint(0, 10);
elif test_proc == test_shl:
b = randint(0, min(BITS, 120))
elif test_proc == test_shr_signed:
b = randint(0, min(BITS, 120))
elif test_proc == test_is_square:
a = randint(0, 1 << BITS)
elif test_proc == test_lcm:
smallest = min(a, b)
biggest = max(a, b)
# Randomly swap biggest and smallest
if randint(1, 11) % 2 == 0:
smallest, biggest = biggest, smallest
a, b = smallest, biggest
else:
b = randint(0, 1 << BITS)
count += 1
test_proc(a, b)
print(fmt_string.format(name=test_proc.__name__, test_count=count))
print()
print("---- THE END ----")
vectors.write("}")
if total_failures:
exit(1)