number.test.gr

module NumberTest

from "number" include Number
use Number.{ (+), (-), (*), (/) as div, (**) }
from "result" include Result
from "int32" include Int32
from "int64" include Int64
from "bigint" include BigInt as BI

// Constants Test

assert Number.pi == 3.141592653589793

assert Number.tau == 6.283185307179586

assert Number.e == 2.718281828459045
// Operations Tests
// add
assert 25 + 5 == 30
assert Infinity + 10 == Infinity
assert Infinity + Infinity == Infinity
assert Number.isNaN(Infinity + NaN)
assert Number.isNaN(NaN + NaN)
// Rational addition tests
assert 2/3 + 4 == 14/3
assert 2/3 + Int32.toNumber(4l) == 14/3
assert 2/3 + Int64.toNumber(4L) == 14/3
assert 4 + 2/3 == 14/3
assert Int32.toNumber(4l) + 2/3 == 14/3
assert Int64.toNumber(4L) + 2/3 == 14/3
assert 2/3 + 4.0 == 4.666666666666667
// sub
assert 25 - 5 == 20
assert Infinity - 10 == Infinity
assert Number.isNaN(Infinity - Infinity)
assert Number.isNaN(Infinity - NaN)
assert Number.isNaN(NaN - NaN)
// Rational subtraction tests
assert 2/3 - 4 == -10/3
assert 2/3 - Int32.toNumber(4l) == -10/3
assert 2/3 - Int64.toNumber(4L) == -10/3
assert 4 - 2/3 == 10/3
assert Int32.toNumber(4l) - 2/3 == 10/3
assert Int64.toNumber(4L) - 2/3 == 10/3
assert 2/3 - 4.0 == -3.3333333333333335
assert 4.0 - 2/3 == 3.3333333333333335
// mul
assert 5 * 5 == 25
assert 9223372036854775809 * 5 == 46116860184273879045
assert 9223372036854775809 * 9223372036854775809 ==
  85070591730234615884290395931651604481
assert Infinity * 10 == Infinity
assert Infinity * Infinity == Infinity
assert Number.isNaN(Infinity * NaN)
assert Number.isNaN(NaN * NaN)
// Rational mul tests
assert (2/3) * 4 == 8/3
assert (2/3) * Int32.toNumber(4l) == 8/3
assert (2/3) * Int64.toNumber(4L) == 8/3
assert 4 * (2/3) == 8/3
assert Int32.toNumber(4l) * (2/3) == 8/3
assert Int64.toNumber(4L) * (2/3) == 8/3
assert (2/3) * 4.0 < 2.666666666666667
assert 2.6666666666666 < (2/3) * 4.0
// div
assert div(25, 5) == 5
assert div(9223372036854775809, 9) == 1024819115206086201
assert div(9223372036854775809, 9223372036854775809) == 1
assert div(9223372036854775808, 27670116110564327424) == 1/3
assert div(Infinity, 10) == Infinity
assert Number.isNaN(div(Infinity, Infinity))
assert Number.isNaN(div(Infinity, NaN))
assert Number.isNaN(div(NaN, NaN))
// Rational div tests
assert div(2/3, 4) == 1/6
assert div(2/3, Int32.toNumber(4l)) == 1/6
assert div(2/3, Int64.toNumber(4L)) == 1/6
assert div(4, 2/3) == 6
assert div(Int32.toNumber(4l), 2/3) == 6
assert div(Int64.toNumber(4L), 2/3) == 6
assert div(2/3, 4.0) == 0.16666666666666666
assert div(4.0, 2/3) == 6.0
// Number.pow tests are based on test cases from libc-test: http://nsz.repo.hu/git/?p=libc-test
/*
  libc-test is licensed under the following standard MIT license:
  Copyright © 2005-2013 libc-test AUTHORS
  Permission is hereby granted, free of charge, to any person obtaining
  a copy of this software and associated documentation files (the
  "Software"), to deal in the Software without restriction, including
  without limitation the rights to use, copy, modify, merge, publish,
  distribute, sublicense, and/or sell copies of the Software, and to
  permit persons to whom the Software is furnished to do so, subject to
  the following conditions:
  The above copyright notice and this permission notice shall be
  included in all copies or substantial portions of the Software.
  THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
  EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
  MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
  IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
  CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
  TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
  SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
  Portions of this software is derived from software authored by
  third parties:
  math tests use numbers under BSD and GPL licenses see src/math/ucb/*
  and src/math/crlibm/* for details
*/
// pow
assert Number.isNaN(-8.06684839057968084 ** 4.53566256067686879)
assert 4.34523984933830487 ** -8.88799136300345083 == 0.00000213471188255872853
assert Number.isNaN(-8.38143342755524934 ** -2.76360733737958819)
assert Number.isNaN(-6.53167358191348413 ** 4.56753527684274374)
assert 9.26705696697258574 ** 4.81139208435979615 == 44909.2994151296589
assert Number.isNaN(-6.45004555606023633 ** 0.662071792337673881)
assert 7.85889025304169664 ** 0.0521545267500622481 == 1.11351774134586523
assert Number.isNaN(-0.792054511984895959 ** 7.67640268511753998)
assert 0.615702673197924044 ** 2.01190257903248026 == 0.376907735213801831
assert Number.isNaN(-0.558758682360915193 ** 0.0322398306026380407)
assert Number.isNaN(0.0 ** NaN)
assert 0.0 ** Infinity == 0.0
assert 0.0 ** 3.0 == 0.0
assert 0.0 ** 2.0 == 0.0
assert 0.0 ** 1.0 == 0.0
assert 0.0 ** 0.5 == 0.0
assert Number.isNaN(0.0 ** 0.0)
assert Number.isNaN(0.0 ** -0.0)
assert 0.0 ** -0.5 == Infinity
assert 0.0 ** -1.0 == Infinity
assert 0.0 ** -2.0 == Infinity
assert 0.0 ** -3.0 == Infinity
assert 0.0 ** -4.0 == Infinity
assert 0.0 ** -Infinity == Infinity
assert Number.isNaN(-0.0 ** NaN)
assert -0.0 ** Infinity == 0.0
assert -0.0 ** 3.0 == -0.0
assert -0.0 ** 2.0 == 0.0
assert -0.0 ** 1.0 == -0.0
assert -0.0 ** 0.5 == 0.0
assert Number.isNaN(-0.0 ** 0.0)
assert Number.isNaN(-0.0 ** -0.0)
assert -0.0 ** -0.5 == Infinity
assert -0.0 ** -1.0 == -Infinity
assert -0.0 ** -2.0 == Infinity
assert -0.0 ** -3.0 == -Infinity
assert -0.0 ** -4.0 == Infinity
assert -0.0 ** -Infinity == Infinity
assert Number.isNaN(NaN ** 0.0)
assert Number.isNaN(Infinity ** 0.0)
assert Number.isNaN(-Infinity ** 0.0)
assert Number.isNaN(1.0 ** 0.0)
assert Number.isNaN(-1.0 ** 0.0)
assert Number.isNaN(-0.5 ** 0.0)
assert Number.isNaN(NaN ** -0.0)
assert 1 ** 1 == 1
assert 2 ** 1 == 2
assert 300 ** 1 == 300
assert -1 ** 1 == -1
assert -2 ** 1 == -2
assert -300 ** 1 == -300
assert 0 ** 1 == 0
assert 1 ** 0 == 1
assert 0 ** 0 == 1
assert 1 ** 5 == 1
assert 5 ** 5 == 3125
assert -5 ** 5 == -3125
assert 5 ** 6 == 15625
assert -5 ** 6 == 15625
assert 1.0 ** 1 == 1.0
assert 2 ** 1.0 == 2.0
assert 300.0 ** 1 == 300.0
assert -1 ** 1.0 == -1.0
assert -2.0 ** 1 == -2.0
assert -300 ** 1.0 == -300.0
assert 0.0 ** 1 == 0.0
assert Number.isNaN(1 ** 0.0)
assert Number.isNaN(0.0 ** 0)
assert 1 ** 5.0 == 1.0
assert 5.0 ** 5 == 3125.0
assert -1.0 ** 1 == -1.0
assert -4.0 ** 3 == -64.0
assert -4 ** 3.0 == -64.0
assert -5 ** 5.0 == -3125.0
assert 5.0 ** 6 == 15625.0
assert -5 ** 6.0 == 15625.0

// Workaround for formatter bug for rational literals
let pow = (**)

assert pow(1/2, 1) == 1/2
assert pow(1/2, 2) == 1/4
assert pow(2, 1/2) == 1.4142135623730952
assert pow(4, 1/2) == 2
assert pow(4, -1/2) == 0.5
assert 9223372036854775809 ** 2 == 85070591730234615884290395931651604481
assert 9223372036854775809 ** 0.5 == 3037000499.97605
assert 9223372036854775809.0 ** 0.5 == 3037000499.97605
assert 9223372036854775809 ** 0 == 1
// TODO(#1168): Use rational literal
let denom = 85070591730234615884290395931651604481
assert 9223372036854775809 ** -2 == 1 / denom // 1.1754943508222875e-38
assert pow(9223372036854775809, 1/5) == 6208.375056426594
assert pow(9223372036854775809, 2/3) == 4398046511103.9927
assert 10223372036854775809 ** 10 ==
  12472159440978016923768615307032788210916694000775261660538874886865415760948494778813645195039710006678013364969179502650466497057008288260604039903029954443675868581729857084924132550246401
assert 1 ** 9223372036854775809 == 1
assert 2.0 ** 9223372036854775809 == Infinity
assert 2.0 ** 99223372036854775809 == Infinity
assert pow(1/2, 2) == 1/4
assert pow(1/2, 3) == 1/8
assert Number.isRational(pow(1/2, 2))
assert Number.isRational(pow(1/2, 3))
assert pow(1/2, -2) == 4
// exp
assert Number.exp(1) == 2.718281828459045
assert Number.exp(10) == 22026.465794806703
assert Number.exp(0) == 1
assert Number.exp(-1) == 0.36787944117144236
assert Number.exp(-10) == 0.000045399929762484875
assert Number.exp(0.5) == 1.6487212707001283
assert Number.exp(-0.5) == 0.6065306597126334
assert Number.exp(1/2) == 1.6487212707001283
assert Number.exp(-1/2) == 0.6065306597126334
assert Number.exp(9223372036854775809) == Infinity
assert Number.exp(Infinity) == Infinity
assert Number.isNaN(Number.exp(NaN))
// sqrt
assert Number.sqrt(25) == 5
assert Number.sqrt(25.0) == 5.0
assert Number.sqrt(35) == 5.916079783099616
assert Number.sqrt(2/4) == 0.7071067811865476
assert Number.sqrt(9266609011276477657) == 3044110545.180066
assert Number.sqrt(Infinity) == Infinity
assert Number.isNaN(Number.sqrt(NaN))
// min
assert Number.min(5, 5) == 5
assert Number.min(5, 6) == 5
assert Number.min(6, 5) == 5
assert Number.min(1/2, 1/4) == 1/4
assert Number.min(0.5, 0.25) == 0.25
assert Number.min(355894508425808343204914141312, 6) == 6
assert Number.min(Infinity, 10) == 10
assert Number.isNaN(Number.min(NaN, 10))
assert Number.isNaN(Number.min(NaN, Infinity))

// max
assert Number.max(5, 5) == 5
assert Number.max(6, 5) == 6
assert Number.max(5, 6) == 6
assert Number.max(1/2, 1/4) == 1/2
assert Number.max(0.5, 0.25) == 0.5
assert Number.max(BI.toNumber(1234t), BI.toNumber(12t)) == BI.toNumber(1234t)
assert Number.max(355894508425808343204914141312, 6) ==
  355894508425808343204914141312
assert Number.max(Infinity, 10) == Infinity
assert Number.max(NaN, 10) == 10
assert Number.max(NaN, Infinity) == Infinity

// ceil
assert Number.ceil(-25.5) == -25
assert Number.ceil(25.5) == 26
assert Number.ceil(25) == 25
assert Number.ceil(22/7) == 4
assert Number.ceil(BI.toNumber(1234t)) == BI.toNumber(1234t)
assert Number.isNaN(Number.ceil(NaN))
assert Number.ceil(Infinity) == Infinity
// floor
assert Number.floor(-25.5) == -26
assert Number.floor(25.5) == 25
assert Number.floor(25) == 25
assert Number.floor(22/7) == 3
assert Number.floor(BI.toNumber(1234t)) == BI.toNumber(1234t)
assert Number.isNaN(Number.floor(NaN))
assert Number.floor(Infinity) == Infinity
// trunc
assert Number.trunc(-25.5) == -25
assert Number.trunc(25.5) == 25
assert Number.trunc(25) == 25
assert Number.trunc(22/7) == 3
assert Number.trunc(BI.toNumber(1234t)) == BI.toNumber(1234t)
assert Number.isNaN(Number.trunc(NaN))
assert Number.trunc(Infinity) == Infinity
// round
assert Number.round(-25.5) == -26
assert Number.round(-25.25) == -25
assert Number.round(25.25) == 25
assert Number.round(25.5) == 26
assert Number.round(22/7) == 3
assert Number.round(BI.toNumber(1234t)) == BI.toNumber(1234t)
assert Number.isNaN(Number.round(NaN))
assert Number.round(Infinity) == Infinity
// abs
assert Number.abs(-25.5) == 25.5
assert Number.abs(25.5) == 25.5
assert Number.abs(-1/2) == 1/2
assert Number.isNaN(Number.abs(NaN))
assert Number.abs(Infinity) == Infinity
// neg
assert Number.neg(-25.5) == 25.5
assert Number.neg(25.5) == -25.5
assert Number.neg(1/2) == -1/2
assert Number.neg(BI.toNumber(1234t)) == BI.toNumber(-1234t)
assert Number.neg(BI.toNumber(-1234t)) == BI.toNumber(1234t)
assert Number.isNaN(-NaN)
assert Number.neg(Infinity) == -Infinity

// isFloat
assert Number.isFloat(0.0)
assert Number.isFloat(1.5)
assert Number.isFloat(42.0)
assert Number.isFloat(9e6)
assert Number.isFloat(0) == false
assert Number.isFloat(10) == false
assert Number.isFloat(2/3) == false
assert Number.isFloat(Infinity) == true
assert Number.isFloat(NaN) == true
// isInteger
assert Number.isInteger(0)
assert Number.isInteger(9)
assert Number.isInteger(2_147_483_648)
assert Number.isInteger(9_223_372_036_854_775_808)
assert Number.isInteger(0.0) == false
assert Number.isInteger(9e6) == false
assert Number.isInteger(2/3) == false
assert Number.isInteger(Infinity) == false
assert Number.isInteger(NaN) == false

// isRational
assert Number.isRational(1/2)
assert Number.isRational(6/5)
assert Number.isRational(1) == false
assert Number.isRational(1.5) == false
assert Number.isRational(Infinity) == false
assert Number.isRational(NaN) == false

// isFinite
assert Number.isFinite(NaN) == false // NaN
assert Number.isFinite(Infinity) == false
assert Number.isFinite(-Infinity) == false
assert Number.isFinite(1.0 / 0.0) == false // infinity
assert Number.isFinite(-1.0 / 0.0) == false // -infinity
assert Number.isFinite(1)
assert Number.isFinite(1.0)
assert Number.isFinite(0)
assert Number.isFinite(0.0)
assert Number.isFinite(-1)
assert Number.isFinite(-1.0)
assert Number.isFinite(25.76)
assert Number.isFinite(-25.00)
assert Number.isFinite(1/2)
assert Number.isFinite(-1/2)
assert Number.isFinite(BI.toNumber(-141435902485091384901384t))

// isNaN
assert Number.isNaN(NaN)
assert Number.isNaN(1) == false
assert Number.isNaN(1.0) == false
assert Number.isNaN(0) == false
assert Number.isNaN(0.0) == false
assert Number.isNaN(-1) == false
assert Number.isNaN(-1.0) == false
assert Number.isNaN(25.76) == false
assert Number.isNaN(-25.00) == false
assert Number.isNaN(1/2) == false
assert Number.isNaN(-1/2) == false
assert Number.isNaN(Infinity) == false
assert Number.isNaN(-Infinity) == false
assert Number.isNaN(1.0 / 0.0) == false // infinity
assert Number.isNaN(-1.0 / 0.0) == false // -infinity
assert Number.isNaN(BI.toNumber(1t)) == false

// isInfinite
assert Number.isInfinite(Infinity)
assert Number.isInfinite(-Infinity)
assert Number.isInfinite(1.0 / 0.0) // infinity
assert Number.isInfinite(-1.0 / 0.0) // -infinity
assert Number.isInfinite(NaN) == false
assert Number.isInfinite(1) == false
assert Number.isInfinite(1.0) == false
assert Number.isInfinite(0) == false
assert Number.isInfinite(0.0) == false
assert Number.isInfinite(-1) == false
assert Number.isInfinite(-1.0) == false
assert Number.isInfinite(25.76) == false
assert Number.isInfinite(-25.00) == false
assert Number.isInfinite(1/2) == false
assert Number.isInfinite(-1/2) == false
assert Number.isInfinite(BI.toNumber(-1t)) == false

// Number.isClose
assert Number.isClose(1.0, 1.0)
assert Number.isClose(1.0, 1.0, relativeTolerance=0.5, absoluteTolerance=0.5)
assert Number.isClose(1.0, 1.0, relativeTolerance=0, absoluteTolerance=0)
assert Number.isClose(0.0, 0.0)
assert Number.isClose(0.0, 0.0, relativeTolerance=0.5, absoluteTolerance=0.5)
assert Number.isClose(0.0, 0.0, relativeTolerance=0, absoluteTolerance=0)
assert Number.isClose(1, 1)
assert Number.isClose(1, 1, relativeTolerance=0.5, absoluteTolerance=0.5)
assert Number.isClose(1, 1, relativeTolerance=0, absoluteTolerance=0)
assert Number.isClose(1/2, 1/2)
assert Number.isClose(1/2, 1/2, relativeTolerance=0.5, absoluteTolerance=0.5)
assert Number.isClose(1/2, 1/2, relativeTolerance=0, absoluteTolerance=0)
assert Number.isClose(0, 0.1) == false
assert Number.isClose(0, 0.000000001) == false
assert Number.isClose(0, 0.00000001, absoluteTolerance=1e-9) == false
assert Number.isClose(0, 0.000000001, absoluteTolerance=1e-9)
assert Number.isClose(-0, 0.000000001) == false
assert Number.isClose(-0, 0.00000001, absoluteTolerance=1e-9) == false
assert Number.isClose(-0, 0.000000001, absoluteTolerance=1e-9)
assert Number.isClose(1.1, 1.10000001, absoluteTolerance=1e-9) == false
assert Number.isClose(1.1, 1.100000001, absoluteTolerance=1e-9)
assert Number.isClose(Infinity, Infinity)
assert Number.isClose(-Infinity, -Infinity)
assert Number.isClose(Infinity, -Infinity) == false
assert Number.isClose(NaN, NaN) == false
assert Number.isClose(Infinity, 99999999999999999) == false

// parseFloat
// tests taken from Go's /src/strconv/atof_test.go
assert Number.parseFloat("") == Err("Invalid string")
assert Number.parseFloat("1") == Ok(1.0)
assert Number.parseFloat("+1") == Ok(1.0)
assert Number.parseFloat("1x") == Err("Invalid float")
assert Number.parseFloat("1.1.") == Err("Invalid float")
assert Number.parseFloat("1e23") == Ok(1e+23)
assert Number.parseFloat("1E23") == Ok(1e+23)
assert Number.parseFloat("100000000000000000000000") == Ok(1e+23)
assert Number.parseFloat("1e-100") == Ok(1e-100)
assert Number.parseFloat("123456700") == Ok(1.234567e+08)
assert Number.parseFloat("99999999999999974834176") == Ok(9.999999999999997e+22)
assert Number.parseFloat("100000000000000000000001") ==
  Ok(1.0000000000000001e+23)
assert Number.parseFloat("100000000000000008388608") ==
  Ok(1.0000000000000001e+23)
assert Number.parseFloat("100000000000000016777215") ==
  Ok(1.0000000000000001e+23)
assert Number.parseFloat("100000000000000016777216") ==
  Ok(1.0000000000000003e+23)
assert Number.parseFloat("-1") == Ok(-1.0)
assert Number.parseFloat("-0.1") == Ok(-0.1)
assert Number.parseFloat("-0") == Ok(-0.0)
assert Number.parseFloat("1e-20") == Ok(1e-20)
assert Number.parseFloat("625e-3") == Ok(0.625)
// zeros
assert Number.parseFloat("0") == Ok(0.0)
assert Number.parseFloat("0e0") == Ok(0.0)
assert Number.parseFloat("-0e0") == Ok(-0.0)
assert Number.parseFloat("+0e0") == Ok(0.0)
assert Number.parseFloat("0e-0") == Ok(0.0)
assert Number.parseFloat("-0e-0") == Ok(-0.0)
assert Number.parseFloat("+0e-0") == Ok(0.0)
assert Number.parseFloat("0e+0") == Ok(0.0)
assert Number.parseFloat("-0e+0") == Ok(-0.0)
assert Number.parseFloat("+0e+0") == Ok(0.0)
assert Number.parseFloat("0e+01234567890123456789") == Ok(0.0)
assert Number.parseFloat("0.00e-01234567890123456789") == Ok(0.0)
assert Number.parseFloat("-0e+01234567890123456789") == Ok(-0.0)
assert Number.parseFloat("-0.00e-01234567890123456789") == Ok(-0.0)
assert Number.parseFloat("0e291") == Ok(0.0)
assert Number.parseFloat("0e292") == Ok(0.0)
assert Number.parseFloat("0e347") == Ok(0.0)
assert Number.parseFloat("0e348") == Ok(0.0)
// NaNs
assert Number.isNaN(
  Result.expect("float should parse", Number.parseFloat("nan"))
)
assert Number.isNaN(
  Result.expect("float should parse", Number.parseFloat("NaN"))
)
assert Number.isNaN(
  Result.expect("float should parse", Number.parseFloat("NAN"))
)
// Infs
assert Number.parseFloat("inf") == Ok(Infinity)
assert Number.parseFloat("-Inf") == Ok(-Infinity)
assert Number.parseFloat("+INF") == Ok(Infinity)
assert Number.parseFloat("-Infinity") == Ok(-Infinity)
assert Number.parseFloat("+INFINITY") == Ok(Infinity)
assert Number.parseFloat("Infinity") == Ok(Infinity)
// largest float64
assert Number.parseFloat("1.7976931348623157e308") ==
  Ok(1.7976931348623157e+308)
assert Number.parseFloat("-1.7976931348623157e308") ==
  Ok(-1.7976931348623157e+308)
// next float64 - too large
assert Number.parseFloat("1.7976931348623159e308") == Ok(Infinity)
assert Number.parseFloat("-1.7976931348623159e308") == Ok(-Infinity)
// the border is ...158079
// borderline - okay
assert Number.parseFloat("1.7976931348623158079e308") ==
  Ok(1.7976931348623157e+308)
assert Number.parseFloat("-1.7976931348623158079e308") ==
  Ok(-1.7976931348623157e+308)
// borderline - too large
assert Number.parseFloat("1.797693134862315808e308") == Ok(Infinity)
assert Number.parseFloat("-1.797693134862315808e308") == Ok(-Infinity)
// a little too large
assert Number.parseFloat("1e308") == Ok(1e+308)
assert Number.parseFloat("2e308") == Ok(Infinity)
assert Number.parseFloat("1e309") == Ok(Infinity)
// way too large
assert Number.parseFloat("1e310") == Ok(Infinity)
assert Number.parseFloat("-1e310") == Ok(-Infinity)
assert Number.parseFloat("1e400") == Ok(Infinity)
assert Number.parseFloat("-1e400") == Ok(-Infinity)
assert Number.parseFloat("1e400000") == Ok(Infinity)
assert Number.parseFloat("-1e400000") == Ok(-Infinity)
// denormalized
assert Number.parseFloat("1e-305") == Ok(1e-305)
assert Number.parseFloat("1e-306") == Ok(1e-306)
assert Number.parseFloat("1e-307") == Ok(1e-307)
assert Number.parseFloat("1e-308") == Ok(1e-308)
assert Number.parseFloat("1e-309") == Ok(1e-309)
assert Number.parseFloat("1e-310") == Ok(1e-310)
assert Number.parseFloat("1e-322") == Ok(1e-322)
// smallest denormal
assert Number.parseFloat("5e-324") == Ok(5e-324)
assert Number.parseFloat("4e-324") == Ok(5e-324)
assert Number.parseFloat("3e-324") == Ok(5e-324)
// too small
assert Number.parseFloat("2e-324") == Ok(0.0)
// way too small
assert Number.parseFloat("1e-350") == Ok(0.0)
assert Number.parseFloat("1e-400000") == Ok(0.0)
// try to overflow exponent
assert Number.parseFloat("1e-4294967296") == Ok(0.0)
assert Number.parseFloat("1e+4294967296") == Ok(Infinity)
assert Number.parseFloat("1e-18446744073709551616") == Ok(0.0)
assert Number.parseFloat("1e+18446744073709551616") == Ok(Infinity)
// Parse errors
assert Number.parseFloat("1e") == Err("Invalid exponent")
assert Number.parseFloat("1e-") == Err("Invalid exponent")
assert Number.parseFloat(".e-1") == Err("Invalid float")
// https://www.exploringbinary.com/java-hangs-when-converting-2-2250738585072012e-308/
assert Number.parseFloat("2.2250738585072012e-308") ==
  Ok(2.2250738585072014e-308)
// https://www.exploringbinary.com/php-hangs-on-numeric-value-2-2250738585072011e-308/
assert Number.parseFloat("2.2250738585072011e-308") ==
  Ok(2.225073858507201e-308)
// A different kind of very large number.
assert Number.parseFloat("22.222222222222222") == Ok(22.22222222222222)
assert Number.parseFloat(
  "2.222222222222222222222222222222222222222222222222222222222222222222222222222e+1"
) ==
  Ok(22.22222222222222)
// Exactly halfway between 1 and math.Nextafter(1, 2).
// Round to even (down).
assert Number.parseFloat(
  "1.00000000000000011102230246251565404236316680908203125"
) ==
  Ok(1.0)
// Slightly lower; still round down.
assert Number.parseFloat(
  "1.00000000000000011102230246251565404236316680908203124"
) ==
  Ok(1.0)
// Slightly higher; round up.
assert Number.parseFloat(
  "1.00000000000000011102230246251565404236316680908203126"
) ==
  Ok(1.0000000000000002)
// Slightly higher, but you have to read all the way to the end.
assert Number.parseFloat(
  "1.0000000000000001110223024625156540423631668090820312500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
) ==
  Ok(1.0000000000000002)
// Halfway between x := math.Nextafter(1, 2) and math.Nextafter(x, 2)
// Round to even (up).
assert Number.parseFloat(
  "1.00000000000000033306690738754696212708950042724609375"
) ==
  Ok(1.0000000000000004)
// Halfway between 1090544144181609278303144771584 and 1090544144181609419040633126912
assert Number.parseFloat("1090544144181609348671888949248") ==
  Ok(1.0905441441816093e+30)
// slightly above, rounds up
assert Number.parseFloat("1090544144181609348835077142190") ==
  Ok(1.0905441441816094e+30)
// underscores
assert Number.parseFloat("1__") == Ok(1.0)
assert Number.parseFloat("1_e2_3_") == Ok(1e+23)
assert Number.parseFloat("100_000_000_000_000_000_000_000") == Ok(1e+23)
assert Number.parseFloat("1_2345_6700") == Ok(1.234567e+08)
assert Number.parseFloat("625e-3__") == Ok(0.625)
assert Number.parseFloat("0_0e+0_12__3___4____567890123456789") == Ok(0.0)
assert Number.parseFloat("1_e400_000") == Ok(Infinity)
assert Number.parseFloat("-1_e400_000") == Ok(-Infinity)
assert Number.parseFloat(
  "1.000_000_000_000_000_111_022_302_462_515_654_042_363_166_809_082_031_250_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_000_1"
) ==
  Ok(1.0000000000000002)

// parseInt
assert Number.parseInt("42", 10) == Ok(42)
assert Number.parseInt("042", 10) == Ok(42)
assert Number.parseInt("_0___42___", 10) == Ok(42)
assert Number.parseInt("-42", 10) == Ok(-42)
assert Number.parseInt("-042", 10) == Ok(-42)
assert Number.parseInt("-_0___42___", 10) == Ok(-42)
assert Number.parseInt("1073741823", 10) == Ok(1073741823) // grain simple number max
assert Number.parseInt("-1073741824", 10) == Ok(-1073741824) // grain simple number min
assert Number.parseInt("2147483647", 10) == Ok(2147483647) // i32 max
assert Number.parseInt("-2147483648", 10) == Ok(-2147483648) // i32 min
assert Number.parseInt("9223372036854775807", 10) == Ok(9223372036854775807) // i64 max
assert Number.parseInt("-9223372036854775808", 10) == Ok(-9223372036854775808) // i64 min
assert Number.parseInt("0xabcdef", 10) == Ok(0xabcdef)
assert Number.parseInt("0Xabcdef", 10) == Ok(0xabcdef)
assert Number.parseInt("abcdef", 16) == Ok(0xabcdef)
assert Number.parseInt("AbCdEf", 16) == Ok(0xabcdef)
assert Number.parseInt("0o7654321", 10) == Ok(0o7654321)
assert Number.parseInt("0O7654321", 10) == Ok(0o7654321)
assert Number.parseInt("7654321", 8) == Ok(0o7654321)
assert Number.parseInt("0b100101110110", 10) == Ok(0b100101110110)
assert Number.parseInt("0B100101110110", 10) == Ok(0b100101110110)
assert Number.parseInt("100101110110", 2) == Ok(0b100101110110)
assert Number.parseInt("zyxw44ab", 36) == Ok(2818805666483)
assert Number.parseInt("ZYXW44AB", 36) == Ok(2818805666483)
assert Number.parseInt("9223372036854775808", 10) == Ok(9223372036854775808)
assert Number.parseInt("-9223372036854775808", 10) == Ok(-9223372036854775808)
assert Result.isErr(Number.parseInt("", 10))
assert Result.isErr(Number.parseInt("_", 10))
assert Result.isErr(Number.parseInt("1.23", 10))
assert Result.isErr(Number.parseInt("000000", 1))
assert Result.isErr(Number.parseInt("zzzzz", 37))
assert Result.isErr(Number.parseInt("zzzzz", 9223372036854775807))
assert Result.isErr(Number.parseInt("10", 1.23))
assert Result.isErr(Number.parseInt("10", 2/3))
assert match (Number.parseInt("zzzzz", 10)) {
  Err(Number.ParseIntInvalidDigit) => true,
  _ => false,
}
assert match (Number.parseInt("", 10)) {
  Err(Number.ParseIntEmptyString) => true,
  _ => false,
}
assert match (Number.parseInt("10", 2/3)) {
  Err(Number.ParseIntInvalidRadix) => true,
  _ => false,
}

// Number.parse
// These tests primarily focus on rational parsing
assert Result.isErr(Number.parse(""))
assert Number.parse("42") == Ok(42)
assert Number.parse("123.45") == Ok(123.45)
assert Number.parse("1/1") == Ok(1)
assert Number.parse("1/3") == Ok(1/3)
assert Number.parse("9/3") == Ok(3)
assert Number.parse("3/9") == Ok(1/3)
assert Number.parse("-3/9") == Ok(-1/3)
assert Number.parse("-3/-9") == Ok(1/3)
assert Number.parse("0x3/-9") == Ok(-1/3)
assert Number.parse("3/-0x9") == Ok(-1/3)
assert Number.parse("9223372036854775808/27_670_116_110_564_327_424") == Ok(1/3)
assert Result.isErr(Number.parse("1/2/"))
assert Result.isErr(Number.parse("1/"))
assert Result.isErr(Number.parse("1//"))

// Number.sign
assert Number.sign(-10000) == -1
assert Number.sign(22222) == 1
assert Number.sign(BI.toNumber(-1t)) == -1
assert Number.sign(BI.toNumber(1t)) == 1
assert 1 / Number.sign(0.0) == Infinity
assert 1 / Number.sign(-0.0) == -Infinity

// Number.asin
assert Number.isNaN(Number.asin(-8.06684839057968084))
assert Number.isNaN(Number.asin(-1.1))
assert Number.isNaN(Number.asin(4.06684839057968084))
assert Number.isNaN(Number.asin(1.1))
assert Number.isNaN(Number.asin(15/10))
assert Number.isNaN(Number.asin(-15/10))
assert Number.isClose(
  Number.asin(0.661985898099504477),
  0.723465243951545878,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(0.56175974622072411),
  0.596511362227406194,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(-0.40660392238535531),
  -0.418733744293772248,
  relativeTolerance=1e-9
)
assert Number.isClose(Number.asin(1/2), Number.pi / 6, relativeTolerance=1e-9)
assert Number.isClose(
  Number.asin(0.77415229659130369),
  0.885374810931274348,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(-0.678763702639402444),
  -0.746077811411067326,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(1.0),
  1.57079632679489656,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(1),
  1.57079632679489656,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(-1.0),
  -1.57079632679489656,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.asin(-1),
  -1.57079632679489656,
  relativeTolerance=1e-9
)
assert Number.asin(0) == 0.0
assert Number.asin(0.0) == 0.0
assert Number.asin(-0.0) == -0.0
assert Number.isNaN(Number.asin(1.00000000000000022))
assert Number.isNaN(Number.asin(-1.00000000000000022))
assert Number.isNaN(Number.asin(Infinity))
assert Number.isNaN(Number.asin(-Infinity))
assert Number.isNaN(Number.asin(NaN))

// Number.acos
assert Number.isNaN(Number.acos(-8.06684839057968084))
assert Number.isNaN(Number.acos(-1.1))
assert Number.isNaN(Number.acos(4.06684839057968084))
assert Number.isNaN(Number.acos(1.1))
assert Number.isNaN(Number.acos(15/10))
assert Number.isNaN(Number.acos(-15/10))
assert Number.isClose(
  Number.acos(0.661985898099504477),
  0.84733108284335068,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.acos(0.56175974622072411),
  0.974284964567490364,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.acos(-0.40660392238535531),
  1.98953007108866897,
  relativeTolerance=1e-9
)
assert Number.isClose(Number.acos(1/2), Number.pi / 3, relativeTolerance=1e-9)
assert Number.isClose(
  Number.acos(0.77415229659130369),
  0.68542151586362221,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.acos(-0.678763702639402444),
  2.31687413820596388,
  relativeTolerance=1e-9
)
assert Number.isClose(Number.acos(-1.0), Number.pi, relativeTolerance=1e-9)
assert Number.isClose(Number.acos(-1), Number.pi, relativeTolerance=1e-9)
assert Number.isClose(Number.acos(0.0), Number.pi / 2, relativeTolerance=1e-9)
assert Number.isClose(Number.acos(0), Number.pi / 2, relativeTolerance=1e-9)
assert Number.acos(1) == 0.0
assert Number.acos(1.0) == 0.0
assert Number.isNaN(Number.acos(1.00000000000000022))
assert Number.isNaN(Number.acos(-1.00000000000000022))
assert Number.isNaN(Number.acos(Infinity))
assert Number.isNaN(Number.acos(-Infinity))
assert Number.isNaN(Number.acos(NaN))

// Number.atan
assert Number.isClose(
  Number.atan(0.661985898099504477),
  0.584755067023832509,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(0.56175974622072411),
  0.511826953162888065,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(-0.40660392238535531),
  -0.386186417755213118,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(1/2),
  0.4636476090008061,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(0.77415229659130369),
  0.658780243165382196,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(-0.678763702639402444),
  -0.596330782697347184,
  relativeTolerance=1e-9
)
assert Number.isClose(Number.atan(1.0), Number.pi / 4, relativeTolerance=1e-9)
assert Number.isClose(Number.atan(1), Number.pi / 4, relativeTolerance=1e-9)
assert Number.isClose(Number.atan(-1.0), Number.pi / -4, relativeTolerance=1e-9)
assert Number.isClose(Number.atan(-1), Number.pi / -4, relativeTolerance=1e-9)
assert Number.atan(0) == 0.0
assert Number.atan(0.0) == 0.0
assert Number.atan(-0.0) == -0.0
assert Number.isClose(
  Number.atan(Infinity),
  Number.pi / 2,
  relativeTolerance=1e-9
)
assert Number.isClose(
  Number.atan(-Infinity),
  Number.pi / -2,
  relativeTolerance=1e-9
)
assert Number.isNaN(Number.atan(NaN))

// Number.atan2
assert Number.atan2(-8.06684839057968084, 4.53566256067686879) ==
  -1.0585895402489023
assert Number.atan2(4.34523984933830487, -8.88799136300345083) ==
  2.6868734126013065
assert Number.atan2(-8.38143342755524934, -2.76360733737958819) ==
  -1.88930009184952796
assert Number.atan2(-6.53167358191348413, 4.56753527684274374) ==
  -0.960546902111148904
assert Number.atan2(9.26705696697258574, 4.81139208435979615) ==
  1.09191239461421086
assert Number.atan2(-6.45004555606023633, 0.662071792337673881) ==
  -1.4685085006164239
assert Number.atan2(7.85889025304169664, 0.0521545267500622481) ==
  1.5641600512601266
assert Number.atan2(-0.792054511984895959, 7.67640268511753998) ==
  -0.102816589106785081
assert Number.atan2(0.615702673197924044, 2.01190257903248026) ==
  0.2969797400449351
assert Number.atan2(-0.558758682360915193, 0.0322398306026380407) ==
  -1.51316120533039156
assert Number.atan2(1, 0) == Number.pi / 2
assert Number.atan2(-1, 0) == Number.pi / -2
assert Number.atan2(0, 0) == 0
assert Number.atan2(0, -1) == Number.pi
assert Number.atan2(0, -Infinity) == Number.pi
assert Number.atan2(0, 1) == 0
assert Number.atan2(0, Infinity) == 0

// Number.toDegrees
assert Number.toDegrees(0) == 0
assert Number.toDegrees(Number.pi) == 180
assert Number.toDegrees(Number.pi * -1) == -180
assert Number.toDegrees(Infinity) == Infinity
assert Number.toDegrees(0.008726646259971648) == 1/2
assert Number.toDegrees(-0.008726646259971648) == -1/2
assert Number.toDegrees(0.004363323129985824) == 1/4
assert Number.toDegrees(160978210179491630.0) == 9223372036854775809
assert Number.toDegrees(1/2) == 28.64788975654116
assert Number.toDegrees(1/4) == 14.32394487827058
assert Number.isNaN(Number.toDegrees(NaN))

// Number.toRadians
assert Number.toRadians(0) == 0
assert Number.toRadians(30) == Number.pi / 6
assert Number.toRadians(-30) == Number.pi / -6
assert Number.toRadians(-30) == Number.pi / -6
assert Number.toRadians(1/2) == 0.008726646259971648
assert Number.toRadians(-1/2) == -0.008726646259971648
assert Number.toRadians(1/4) == 0.004363323129985824
assert Number.toRadians(9223372036854775809) == 160978210179491630.0
assert Number.toRadians(Infinity) == Infinity
assert Number.isNaN(Number.toRadians(NaN))

// Number.clamp
// TODO(#471): Use Range Syntax
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 1) == 1
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 0) == 0
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 0.5) == 0.5
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 1/2) == 1/2
assert Number.clamp({ rangeStart: 0, rangeEnd: 1/2 }, 1/2) == 1/2
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, -0.1) == 0
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, -1) == 0
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 1.1) == 1
assert Number.clamp({ rangeStart: 0, rangeEnd: 1 }, 2) == 1
assert Number.clamp({ rangeStart: -1, rangeEnd: 1 }, -1) == -1
assert Number.clamp({ rangeStart: -2, rangeEnd: -1 }, -1) == -1
assert Number.clamp({ rangeStart: -2, rangeEnd: -1 }, -2) == -2
assert Number.clamp({ rangeStart: -1, rangeEnd: -2 }, -2) == -2
assert Number.clamp({ rangeStart: -1, rangeEnd: -2 }, -2) == -2
assert Number.clamp({ rangeStart: Infinity, rangeEnd: -Infinity }, 2) == 2
assert Number.clamp({ rangeStart: -Infinity, rangeEnd: Infinity }, 2) == 2
assert Number.clamp({ rangeStart: Infinity, rangeEnd: -Infinity }, Infinity) ==
  Infinity
assert Number.isNaN(
  Number.clamp({ rangeStart: -Infinity, rangeEnd: Infinity }, NaN)
)
assert Number.isNaN(Number.clamp({ rangeStart: 0, rangeEnd: -1 }, NaN))

// Number.linearInterpolate
// TODO(#471): Use Range Syntax
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 1 }, 0) == 0
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 1 }, 1) == 1
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 1 }, 0.5) == 0.5
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 1 }, 0.75) == 0.75
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 100 }, 0.75) == 75
assert Number.linearInterpolate({ rangeStart: 0, rangeEnd: 100 }, 1/4) == 25
assert Number.linearInterpolate({ rangeStart: -100, rangeEnd: 0 }, 0.5) == -50
assert Number.linearInterpolate({ rangeStart: -100, rangeEnd: 100 }, 0.5) == 0
assert Number.linearInterpolate({ rangeStart: -100, rangeEnd: 100 }, 1/2) == 0

// Number.linearMap
// TODO(#471): Use Range Syntax
assert Number.linearMap(
  { rangeStart: 0, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 100 },
  1/2
) ==
  50
assert Number.linearMap(
  { rangeStart: 0, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 50 },
  1/2
) ==
  25
assert Number.linearMap(
  { rangeStart: -1, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 50 },
  0
) ==
  25
assert Number.linearMap(
  { rangeStart: -1, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 50 },
  2
) ==
  50
assert Number.linearMap(
  { rangeStart: -1, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 50 },
  -2
) ==
  0
assert Number.linearMap(
  { rangeStart: -1, rangeEnd: 1 },
  { rangeStart: 0, rangeEnd: 200 },
  0.5
) ==
  150