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Diffstat (limited to 'tests/stdlib/trationals.nim')
-rw-r--r-- | tests/stdlib/trationals.nim | 117 |
1 files changed, 117 insertions, 0 deletions
diff --git a/tests/stdlib/trationals.nim b/tests/stdlib/trationals.nim new file mode 100644 index 000000000..22d7f5c2d --- /dev/null +++ b/tests/stdlib/trationals.nim @@ -0,0 +1,117 @@ +discard """ + matrix: "--mm:refc; --mm:orc" +""" + +import std/[rationals, math] +import std/assertions + +template main() = + var + z = Rational[int](num: 0, den: 1) + o = initRational(num = 1, den = 1) + a = initRational(1, 2) + u = 3u // 2 + b = -1 // -2 + m1 = -1 // 1 + tt = 10 // 2 + + doAssert a == a + doAssert a - a == z + doAssert a + b == o + doAssert a / b == o + doAssert a * b == 1 // 4 + doAssert 3 / a == 6 // 1 + doAssert a / 3 == 1 // 6 + doAssert tt * z == z + doAssert 10 * a == tt + doAssert a * 10 == tt + doAssert tt / 10 == a + doAssert a - m1 == 3 // 2 + doAssert a + m1 == -1 // 2 + doAssert m1 + tt == 16 // 4 + doAssert m1 - tt == 6 // -1 + + doAssert z < o + doAssert z <= o + doAssert z == z + doAssert cmp(z, o) < 0 + doAssert cmp(o, z) > 0 + + doAssert o == o + doAssert o >= o + doAssert not(o > o) + doAssert cmp(o, o) == 0 + doAssert cmp(z, z) == 0 + doAssert hash(o) == hash(o) + + doAssert a == b + doAssert a >= b + doAssert not(b > a) + doAssert cmp(a, b) == 0 + doAssert hash(a) == hash(b) + + var x = 1 // 3 + + x *= 5 // 1 + doAssert x == 5 // 3 + x += 2 // 9 + doAssert x == 17 // 9 + x -= 9 // 18 + doAssert x == 25 // 18 + x /= 1 // 2 + doAssert x == 50 // 18 + + var y = 1 // 3 + + y *= 4 + doAssert y == 4 // 3 + y += 5 + doAssert y == 19 // 3 + y -= 2 + doAssert y == 13 // 3 + y /= 9 + doAssert y == 13 // 27 + + doAssert toRational(5) == 5 // 1 + doAssert abs(toFloat(y) - 0.4814814814814815) < 1.0e-7 + doAssert toInt(z) == 0 + + when sizeof(int) == 8: + doAssert toRational(0.98765432) == 2111111029 // 2137499919 + doAssert toRational(PI) == 817696623 // 260280919 + when sizeof(int) == 4: + doAssert toRational(0.98765432) == 80 // 81 + doAssert toRational(PI) == 355 // 113 + + doAssert toRational(0.1) == 1 // 10 + doAssert toRational(0.9) == 9 // 10 + + doAssert toRational(0.0) == 0 // 1 + doAssert toRational(-0.25) == 1 // -4 + doAssert toRational(3.2) == 16 // 5 + doAssert toRational(0.33) == 33 // 100 + doAssert toRational(0.22) == 11 // 50 + doAssert toRational(10.0) == 10 // 1 + + doAssert (1 // 1) div (3 // 10) == 3 + doAssert (-1 // 1) div (3 // 10) == -3 + doAssert (3 // 10) mod (1 // 1) == 3 // 10 + doAssert (-3 // 10) mod (1 // 1) == -3 // 10 + doAssert floorDiv(1 // 1, 3 // 10) == 3 + doAssert floorDiv(-1 // 1, 3 // 10) == -4 + doAssert floorMod(3 // 10, 1 // 1) == 3 // 10 + doAssert floorMod(-3 // 10, 1 // 1) == 7 // 10 + + when sizeof(int) == 8: + doAssert almostEqual(PI.toRational.toFloat, PI) + + # unsigned + doAssert u == u + doAssert u + u == 3u // 1 + doAssert 3u.toRational - u == u + doAssert u * 2 == 3u // 1 + + + +static: main() +main() |