130 lines
4.1 KiB
Nim
130 lines
4.1 KiB
Nim
# Stint
|
|
# Copyright 2018 Status Research & Development GmbH
|
|
# Licensed under either of
|
|
#
|
|
# * Apache License, version 2.0, ([LICENSE-APACHE](LICENSE-APACHE) or http://www.apache.org/licenses/LICENSE-2.0)
|
|
# * MIT license ([LICENSE-MIT](LICENSE-MIT) or http://opensource.org/licenses/MIT)
|
|
#
|
|
# at your option. This file may not be copied, modified, or distributed except according to those terms.
|
|
|
|
import ../stint, unittest, test_helpers
|
|
|
|
template chkDiv(chk: untyped, a, b, c: string, bits: int) =
|
|
chk (fromHex(StUint[bits], a) div fromHex(StUint[bits], b)) == fromHex(StUint[bits], c)
|
|
|
|
template chkMod(chk: untyped, a, b, c: string, bits: int) =
|
|
chk (fromHex(StUint[bits], a) mod fromHex(StUint[bits], b)) == fromHex(StUint[bits], c)
|
|
|
|
template chkDivMod(chk: untyped, a, b, c, d: string, bits: int) =
|
|
chk divmod(fromHex(StUint[bits], a), fromHex(StUint[bits], b)) == (fromHex(StUint[bits], c), fromHex(StUint[bits], d))
|
|
|
|
template testdivmod(chk, tst: untyped) =
|
|
tst "operator `div`":
|
|
chkDiv(chk, "0", "3", "0", 128)
|
|
chkDiv(chk, "1", "3", "0", 128)
|
|
chkDiv(chk, "3", "3", "1", 128)
|
|
chkDiv(chk, "3", "1", "3", 128)
|
|
chkDiv(chk, "FF", "3", "55", 128)
|
|
chkDiv(chk, "FFFF", "3", "5555", 128)
|
|
chkDiv(chk, "FFFFFFFF", "3", "55555555", 128)
|
|
chkDiv(chk, "FFFFFFFFFFFFFFFF", "3", "5555555555555555", 128)
|
|
chkDiv(chk, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "3", "55555555555555555555555555555555", 128)
|
|
|
|
tst "operator `mod`":
|
|
chkMod(chk, "0", "3", "0", 128)
|
|
chkMod(chk, "1", "3", "1", 128)
|
|
chkMod(chk, "3", "3", "0", 128)
|
|
chkMod(chk, "3", "1", "0", 128)
|
|
chkMod(chk, "FF", "3", "0", 128)
|
|
chkMod(chk, "FF", "4", "3", 128)
|
|
chkMod(chk, "FFFF", "3", "0", 128)
|
|
chkMod(chk, "FFFF", "17", "8", 128)
|
|
chkMod(chk, "FFFFFFFF", "3", "0", 128)
|
|
chkMod(chk, "FFFFFFFF", "23", "A", 128)
|
|
chkMod(chk, "FFFFFFFF", "27", "15", 128)
|
|
chkMod(chk, "FFFFFFFFFFFFFFFF", "27", "F", 128)
|
|
chkMod(chk, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "27", "15", 128)
|
|
|
|
tst "operator `divmod`":
|
|
chkDivMod(chk, "0", "3", "0", "0", 128)
|
|
chkDivMod(chk, "1", "3", "0", "1", 128)
|
|
chkDivMod(chk, "3", "3", "1", "0", 128)
|
|
chkDivMod(chk, "3", "1", "3", "0", 128)
|
|
chkDivMod(chk, "FF", "3", "55", "0", 128)
|
|
chkDivMod(chk, "FF", "4", "3F", "3", 128)
|
|
chkDivMod(chk, "FFFF", "3", "5555", "0", 128)
|
|
chkDivMod(chk, "FFFF", "17", "B21", "8", 128)
|
|
chkDivMod(chk, "FFFFFFFF", "3", "55555555", "0", 128)
|
|
chkDivMod(chk, "FFFFFFFF", "23", "7507507", "0A", 128)
|
|
chkDivMod(chk, "FFFFFFFF", "27", "6906906", "15", 128)
|
|
chkDivMod(chk, "FFFFFFFFFFFFFFFF", "27", "690690690690690", "F", 128)
|
|
chkDivMod(chk, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "27", "6906906906906906906906906906906", "15", 128)
|
|
|
|
#static:
|
|
#testdivmod(ctCheck, ctTest)
|
|
|
|
suite "Wider unsigned int muldiv coverage":
|
|
testdivmod(check, test)
|
|
|
|
suite "Testing unsigned int division and modulo implementation":
|
|
test "Divmod(100, 13) returns the correct result":
|
|
|
|
let a = 100.stuint(256)
|
|
let b = 13.stuint(256)
|
|
let qr = divmod(a, b)
|
|
|
|
check qr.quot == 7'u64.u256
|
|
check qr.rem == 9'u64.u256
|
|
|
|
test "Divmod(2^64, 3) returns the correct result":
|
|
let a = 1.stuint(128) shl 64
|
|
let b = 3.stuint(128)
|
|
|
|
let qr = divmod(a, b)
|
|
|
|
let q = qr.quot
|
|
let r = qr.rem
|
|
|
|
check:
|
|
q == 6148914691236517205'u64.u128
|
|
r == 1'u64.u128
|
|
|
|
test "Divmod(1234567891234567890, 10) returns the correct result":
|
|
let a = 1234567891234567890'u64.u256
|
|
let b = 10'u64.u256
|
|
|
|
let qr = divmod(a, b)
|
|
|
|
let q = qr.quot
|
|
let r = qr.rem
|
|
|
|
check:
|
|
q == 123456789123456789'u64.u256
|
|
r == 0'u64.u256
|
|
|
|
suite "Testing specific failures highlighted by property-based testing":
|
|
test "Modulo: 65696211516342324 mod 174261910798982":
|
|
|
|
let u = 65696211516342324'u64
|
|
let v = 174261910798982'u64
|
|
|
|
let a = u.u256
|
|
let b = v.u256
|
|
|
|
let z = u mod v
|
|
let tz = a mod b
|
|
|
|
check z.u256 == tz
|
|
|
|
test "Modulo: 15080397990160655 mod 600432699691":
|
|
let u = 15080397990160655'u64
|
|
let v = 600432699691'u64
|
|
|
|
let a = u.u256
|
|
let b = v.u256
|
|
|
|
let z = u mod v
|
|
let tz = a mod b
|
|
|
|
check z.u256 == tz
|