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nim-stint/tests/test_uint_muldiv.nim

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Update Stint in header + mention unsigned vs signed int in tests
2018-04-25 19:21:25 +00:00
# Stint
Relicense under dual Apache/MIT
2018-03-02 10:48:08 +00:00
# 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.
[WIP] Add multiplication with Karatsuba algorithm + basic test
2018-02-16 08:22:23 +00:00
cosmetics changes
2019-10-23 02:20:06 +00:00
import ../stint, unittest, test_helpers
[WIP] Add multiplication with Karatsuba algorithm + basic test
2018-02-16 08:22:23 +00:00
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
template chkMul(chk: untyped, a, b, c: string, bits: int) =
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
chk (fromHex(StUint[bits], a) * fromHex(StUint[bits], b)) == fromHex(StUint[bits], c)
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
template chkDiv(chk: untyped, a, b, c: string, bits: int) =
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
chk (fromHex(StUint[bits], a) div fromHex(StUint[bits], b)) == fromHex(StUint[bits], c)
improve uint muldiv coverage + compile time test
2019-10-22 13:53:24 +00:00
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
template chkMod(chk: untyped, a, b, c: string, bits: int) =
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
chk (fromHex(StUint[bits], a) mod fromHex(StUint[bits], b)) == fromHex(StUint[bits], c)
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
template chkDivMod(chk: untyped, a, b, c, d: string, bits: int) =
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
chk divmod(fromHex(StUint[bits], a), fromHex(StUint[bits], b)) == (fromHex(StUint[bits], c), fromHex(StUint[bits], d))
improve uint muldiv coverage + compile time test
2019-10-22 13:53:24 +00:00
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
template testMuldiv(chk, tst: untyped) =
tst "operator `mul`":
chkMul(chk, "0", "3", "0", 8)
improve uint muldiv coverage + compile time test
2019-10-22 13:53:24 +00:00
chkMul(chk, "1", "3", "3", 8)
chkMul(chk, "64", "3", "2C", 8) # overflow
chkMul(chk, "0", "3", "0", 16)
chkMul(chk, "1", "3", "3", 16)
chkMul(chk, "64", "3", "12C", 16)
chkMul(chk, "1770", "46", "68A0", 16) # overflow
chkMul(chk, "0", "3", "0", 32)
chkMul(chk, "1", "3", "3", 32)
chkMul(chk, "64", "3", "12C", 32)
chkMul(chk, "1770", "46", "668A0", 32)
chkMul(chk, "13880", "13880", "7D784000", 32) # overflow
chkMul(chk, "0", "3", "0", 64)
chkMul(chk, "1", "3", "3", 64)
chkMul(chk, "64", "3", "12C", 64)
chkMul(chk, "1770", "46", "668A0", 64)
chkMul(chk, "13880", "13880", "17D784000", 64)
chkMul(chk, "3B9ACA00", "E8D4A51000", "35C9ADC5DEA00000", 64) # overflow
chkMul(chk, "0", "3", "0", 128)
chkMul(chk, "1", "3", "3", 128)
chkMul(chk, "64", "3", "12C", 128)
chkMul(chk, "1770", "46", "668A0", 128)
chkMul(chk, "13880", "13880", "17D784000", 128)
chkMul(chk, "3B9ACA00", "E8D4A51000", "3635C9ADC5DEA00000", 128)
chkMul(chk, "25295F0D1", "10", "25295F0D10", 128)
chkMul(chk, "123456789ABCDEF00", "123456789ABCDEF00", "4b66dc33f6acdca5e20890f2a5210000", 128) # overflow
chkMul(chk, "123456789ABCDEF00", "123456789ABCDEF00", "14b66dc33f6acdca5e20890f2a5210000", 256)
tst "operator `div`":
chkDiv(chk, "0", "3", "0", 8)
chkDiv(chk, "1", "3", "0", 8)
chkDiv(chk, "3", "3", "1", 8)
chkDiv(chk, "3", "1", "3", 8)
chkDiv(chk, "FF", "3", "55", 8)
chkDiv(chk, "0", "3", "0", 16)
chkDiv(chk, "1", "3", "0", 16)
chkDiv(chk, "3", "3", "1", 16)
chkDiv(chk, "3", "1", "3", 16)
chkDiv(chk, "FF", "3", "55", 16)
chkDiv(chk, "FFFF", "3", "5555", 16)
chkDiv(chk, "0", "3", "0", 32)
chkDiv(chk, "1", "3", "0", 32)
chkDiv(chk, "3", "3", "1", 32)
chkDiv(chk, "3", "1", "3", 32)
chkDiv(chk, "FF", "3", "55", 32)
chkDiv(chk, "FFFF", "3", "5555", 32)
chkDiv(chk, "FFFFFFFF", "3", "55555555", 32)
chkDiv(chk, "0", "3", "0", 64)
chkDiv(chk, "1", "3", "0", 64)
chkDiv(chk, "3", "3", "1", 64)
chkDiv(chk, "3", "1", "3", 64)
chkDiv(chk, "FF", "3", "55", 64)
chkDiv(chk, "FFFF", "3", "5555", 64)
chkDiv(chk, "FFFFFFFF", "3", "55555555", 64)
chkDiv(chk, "FFFFFFFFFFFFFFFF", "3", "5555555555555555", 64)
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", 8)
chkMod(chk, "1", "3", "1", 8)
chkMod(chk, "3", "3", "0", 8)
chkMod(chk, "3", "1", "0", 8)
chkMod(chk, "FF", "3", "0", 8)
chkMod(chk, "FF", "4", "3", 8)
chkMod(chk, "0", "3", "0", 16)
chkMod(chk, "1", "3", "1", 16)
chkMod(chk, "3", "3", "0", 16)
chkMod(chk, "3", "1", "0", 16)
chkMod(chk, "FF", "3", "0", 16)
chkMod(chk, "FF", "4", "3", 16)
chkMod(chk, "FFFF", "3", "0", 16)
chkMod(chk, "FFFF", "4", "3", 16)
chkMod(chk, "FFFF", "17", "8", 16)
chkMod(chk, "0", "3", "0", 32)
chkMod(chk, "1", "3", "1", 32)
chkMod(chk, "3", "3", "0", 32)
chkMod(chk, "3", "1", "0", 32)
chkMod(chk, "FF", "3", "0", 32)
chkMod(chk, "FF", "4", "3", 32)
chkMod(chk, "FFFF", "3", "0", 32)
chkMod(chk, "FFFF", "17", "8", 32)
chkMod(chk, "FFFFFFFF", "3", "0", 32)
chkMod(chk, "FFFFFFFF", "23", "A", 32)
chkMod(chk, "FFFFFFFF", "27", "15", 32)
chkMod(chk, "0", "3", "0", 64)
chkMod(chk, "1", "3", "1", 64)
chkMod(chk, "3", "3", "0", 64)
chkMod(chk, "3", "1", "0", 64)
chkMod(chk, "FF", "3", "0", 64)
chkMod(chk, "FF", "4", "3", 64)
chkMod(chk, "FFFF", "3", "0", 64)
chkMod(chk, "FFFF", "17", "8", 64)
chkMod(chk, "FFFFFFFF", "3", "0", 64)
chkMod(chk, "FFFFFFFF", "23", "A", 64)
chkMod(chk, "FFFFFFFF", "27", "15", 64)
chkMod(chk, "FFFFFFFFFFFFFFFF", "27", "F", 64)
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", 8)
chkDivMod(chk, "1", "3", "0", "1", 8)
chkDivMod(chk, "3", "3", "1", "0", 8)
chkDivMod(chk, "3", "1", "3", "0", 8)
chkDivMod(chk, "FF", "3", "55", "0", 8)
chkDivMod(chk, "FF", "4", "3F", "3", 8)
chkDivMod(chk, "0", "3", "0", "0", 16)
chkDivMod(chk, "1", "3", "0", "1", 16)
chkDivMod(chk, "3", "3", "1", "0", 16)
chkDivMod(chk, "3", "1", "3", "0", 16)
chkDivMod(chk, "FF", "3", "55", "0", 16)
chkDivMod(chk, "FF", "4", "3F", "3", 16)
chkDivMod(chk, "FFFF", "3", "5555", "0", 16)
chkDivMod(chk, "FFFF", "4", "3FFF", "3", 16)
chkDivMod(chk, "FFFF", "17", "B21", "8", 16)
chkDivMod(chk, "0", "3", "0", "0", 32)
chkDivMod(chk, "1", "3", "0", "1", 32)
chkDivMod(chk, "3", "3", "1", "0", 32)
chkDivMod(chk, "3", "1", "3", "0", 32)
chkDivMod(chk, "FF", "3", "55", "0", 32)
chkDivMod(chk, "FF", "4", "3F", "3", 32)
chkDivMod(chk, "FFFF", "3", "5555", "0", 32)
chkDivMod(chk, "FFFF", "17", "B21", "8", 32)
chkDivMod(chk, "FFFFFFFF", "3", "55555555", "0", 32)
chkDivMod(chk, "FFFFFFFF", "23", "7507507", "0A", 32)
chkDivMod(chk, "FFFFFFFF", "27", "6906906", "15", 32)
chkDivMod(chk, "0", "3", "0", "0", 64)
chkDivMod(chk, "1", "3", "0", "1", 64)
chkDivMod(chk, "3", "3", "1", "0", 64)
chkDivMod(chk, "3", "1", "3", "0", 64)
chkDivMod(chk, "FF", "3", "55", "0", 64)
chkDivMod(chk, "FF", "4", "3F", "3", 64)
chkDivMod(chk, "FFFF", "3", "5555", "0", 64)
chkDivMod(chk, "FFFF", "17", "B21", "8", 64)
chkDivMod(chk, "FFFFFFFF", "3", "55555555", "0", 64)
chkDivMod(chk, "FFFFFFFF", "23", "7507507", "0A", 64)
chkDivMod(chk, "FFFFFFFF", "27", "6906906", "15", 64)
chkDivMod(chk, "FFFFFFFFFFFFFFFF", "27", "690690690690690", "F", 64)
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)
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
static:
cosmetics changes
2019-10-23 02:20:06 +00:00
testMuldiv(ctCheck, ctTest)
fixes operator precedence issue with nim 19.6
2019-10-22 11:07:35 +00:00
suite "Wider unsigned int muldiv coverage":
testMuldiv(check, test)
improve uint muldiv coverage + compile time test
2019-10-22 13:53:24 +00:00
Update Stint in header + mention unsigned vs signed int in tests
2018-04-25 19:21:25 +00:00
suite "Testing unsigned int multiplication implementation":
[WIP] Add multiplication with Karatsuba algorithm + basic test
2018-02-16 08:22:23 +00:00
test "Multiplication with result fitting in low half":
Don't use single letter function like u(256)
2018-04-25 11:36:56 +00:00
let a = 10000.stuint(64)
let b = 10000.stuint(64)
[WIP] Add multiplication with Karatsuba algorithm + basic test
2018-02-16 08:22:23 +00:00
check: cast[uint64](a*b) == 100_000_000'u64 # need 27-bits
test "Multiplication with result overflowing low half":
Don't use single letter function like u(256)
2018-04-25 11:36:56 +00:00
let a = 1_000_000.stuint(64)
let b = 1_000_000.stuint(64)
[WIP] Add multiplication with Karatsuba algorithm + basic test
2018-02-16 08:22:23 +00:00
Karatsuba: shift constant was hardcoded + Add full overflow tests
2018-02-16 08:40:21 +00:00
check: cast[uint64](a*b) == 1_000_000_000_000'u64 # need 40 bits
test "Full overflow is handled like native unsigned types":
Don't use single letter function like u(256)
2018-04-25 11:36:56 +00:00
let a = 1_000_000_000.stuint(64)
let b = 1_000_000_000.stuint(64)
let c = 1_000.stuint(64)
Karatsuba: shift constant was hardcoded + Add full overflow tests
2018-02-16 08:40:21 +00:00
improve uint muldiv coverage + compile time test
2019-10-22 13:53:24 +00:00
let x = 1_000_000_000'u64
let y = 1_000_000_000'u64
let z = 1_000'u64
let w = x*y*z
#check: cast[uint64](a*b*c) == 1_000_000_000_000_000_000_000'u64 # need 70-bits
check: cast[uint64](a*b*c) == w
Add division test + consistent Subtype conversion use
2018-02-17 11:44:51 +00:00
fixes related to Nim v1.0.2 32 bit type inference rule modification
2019-10-19 09:56:18 +00:00
test "Nim v1.0.2 32 bit type inference rule changed":
let x = 9975492817.stuint(256)
let y = 16.stuint(256)
check x * y == 159607885072.stuint(256)
Add division test + consistent Subtype conversion use
2018-02-17 11:44:51 +00:00
Update Stint in header + mention unsigned vs signed int in tests
2018-04-25 19:21:25 +00:00
suite "Testing unsigned int division and modulo implementation":
Faster division algorithm (#8) * cosmetic changes * fix zero conversion * Div using divided and conquer algorithm. (Compiles but doesn't work) * Passes test with production flag
2018-03-28 15:15:36 +00:00
test "Divmod(100, 13) returns the correct result":
Add division test + consistent Subtype conversion use
2018-02-17 11:44:51 +00:00
Don't use single letter function like u(256)
2018-04-25 11:36:56 +00:00
let a = 100.stuint(64)
let b = 13.stuint(64)
Make bits part of type (#6) * Small reorg of conversion proc * Rework with bits as type. Pass endianess test * tests_comparison compiles and succeed * Fix init with int for mpint_test compilation flag * All tests green :fire:
2018-03-26 09:46:24 +00:00
let qr = divmod(a, b)
Add division test + consistent Subtype conversion use
2018-02-17 11:44:51 +00:00
check: cast[uint64](qr.quot) == 7'u64
check: cast[uint64](qr.rem) == 9'u64
Faster division algorithm (#8) * cosmetic changes * fix zero conversion * Div using divided and conquer algorithm. (Compiles but doesn't work) * Passes test with production flag
2018-03-28 15:15:36 +00:00
test "Divmod(2^64, 3) returns the correct result":
Don't use single letter function like u(256)
2018-04-25 11:36:56 +00:00
let a = 1.stuint(128) shl 64
let b = 3.stuint(128)
Faster division algorithm (#8) * cosmetic changes * fix zero conversion * Div using divided and conquer algorithm. (Compiles but doesn't work) * Passes test with production flag
2018-03-28 15:15:36 +00:00
let qr = divmod(a, b)
Rename the library to Stint (#26)
2018-04-25 10:52:00 +00:00
let q = cast[UintImpl[uint64]](qr.quot)
let r = cast[UintImpl[uint64]](qr.rem)
Faster division algorithm (#8) * cosmetic changes * fix zero conversion * Div using divided and conquer algorithm. (Compiles but doesn't work) * Passes test with production flag
2018-03-28 15:15:36 +00:00
check: q.lo == 6148914691236517205'u64
check: q.hi == 0'u64
check: r.lo == 1'u64
check: r.hi == 0'u64
Add bigint serialization (hex and decimal) (#29) * Add serialization for decimal and hex * Fix carry bug in signed add * Add parsing test * Improve highlow for int, remove most_significant_word_mut * make conversion toString compile * Add division corner case test * Remove a buggy division shortcut * Fix decimal string conversion * Fix hex dumping * Fix power of 2 division (what was I thinking?) * Add hexdump test * Move runtime check to compile-time * Fix static assert check * more compile-time asserts * Fix parsing of negative hex numbers, add test_io to the suite * dump default to bigEndian, split toString in Stint and Stuint * Add (failing) tests with big ints conversion * Temporarily remove all the noInit pragma
2018-04-30 11:38:55 +00:00
test "Divmod(1234567891234567890, 10) returns the correct result":
let a = cast[StUint[64]](1234567891234567890'u64)
let b = cast[StUint[64]](10'u64)
let qr = divmod(a, b)
let q = cast[uint64](qr.quot)
let r = cast[uint64](qr.rem)
check: q == 123456789123456789'u64
check: r == 0'u64
Fix #30 - modulo failures (#32) * Add corner cases to test suite * Add failing div2n1n case * Fix test and fix #30 * Add to tests * Fix failing tests due to Nim string change between Apr 27 and Apr 29 (doc: https://github.com/nim-lang/Nim/commit/5237ef4f5280fef8df630f265cc67869d013c0ef)
2018-05-02 15:49:31 +00:00
suite "Testing specific failures highlighted by property-based testing":
test "Modulo: 65696211516342324 mod 174261910798982":
let u = 65696211516342324'u64
let v = 174261910798982'u64
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
let a = cast[StUint[64]](u)
let b = cast[StUint[64]](v)
Fix #30 - modulo failures (#32) * Add corner cases to test suite * Add failing div2n1n case * Fix test and fix #30 * Add to tests * Fix failing tests due to Nim string change between Apr 27 and Apr 29 (doc: https://github.com/nim-lang/Nim/commit/5237ef4f5280fef8df630f265cc67869d013c0ef)
2018-05-02 15:49:31 +00:00
let z = u mod v
let tz = cast[uint64](a mod b)
check: z == tz
test "Modulo: 15080397990160655 mod 600432699691":
let u = 15080397990160655'u64
let v = 600432699691'u64
Enable --styleCheck:usages (#118)
2022-02-24 19:09:53 +00:00
let a = cast[StUint[64]](u)
let b = cast[StUint[64]](v)
Fix #30 - modulo failures (#32) * Add corner cases to test suite * Add failing div2n1n case * Fix test and fix #30 * Add to tests * Fix failing tests due to Nim string change between Apr 27 and Apr 29 (doc: https://github.com/nim-lang/Nim/commit/5237ef4f5280fef8df630f265cc67869d013c0ef)
2018-05-02 15:49:31 +00:00
let z = u mod v
let tz = cast[uint64](a mod b)
check: z == tz