def test_FloatType():
assert f16.dig == 3
assert f32.dig == 6
assert f64.dig == 15
assert f80.dig == 18
assert f128.dig == 33
assert f16.decimal_dig == 5
assert f32.decimal_dig == 9
assert f64.decimal_dig == 17
assert f80.decimal_dig == 21
assert f128.decimal_dig == 36
assert f16.max_exponent == 16
assert f32.max_exponent == 128
assert f64.max_exponent == 1024
assert f80.max_exponent == 16384
assert f128.max_exponent == 16384
assert f16.min_exponent == -13
assert f32.min_exponent == -125
assert f64.min_exponent == -1021
assert f80.min_exponent == -16381
assert f128.min_exponent == -16381
assert abs(f16.eps / Float('0.00097656', precision=16) - 1) < 0.1*10**-f16.dig
assert abs(f32.eps / Float('1.1920929e-07', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.eps / Float('2.2204460492503131e-16', precision=64) - 1) < 0.1*10**-f64.dig
assert abs(f80.eps / Float('1.08420217248550443401e-19', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.eps / Float(' 1.92592994438723585305597794258492732e-34', precision=128) - 1) < 0.1*10**-f128.dig
assert abs(f16.max / Float('65504', precision=16) - 1) < .1*10**-f16.dig
assert abs(f32.max / Float('3.40282347e+38', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.max / Float('1.79769313486231571e+308', precision=64) - 1) < 0.1*10**-f64.dig # cf. np.finfo(np.float64).max
assert abs(f80.max / Float('1.18973149535723176502e+4932', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.max / Float('1.18973149535723176508575932662800702e+4932', precision=128) - 1) < 0.1*10**-f128.dig
# cf. np.finfo(np.float32).tiny
assert abs(f16.tiny / Float('6.1035e-05', precision=16) - 1) < 0.1*10**-f16.dig
assert abs(f32.tiny / Float('1.17549435e-38', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.tiny / Float('2.22507385850720138e-308', precision=64) - 1) < 0.1*10**-f64.dig
assert abs(f80.tiny / Float('3.36210314311209350626e-4932', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.tiny / Float('3.3621031431120935062626778173217526e-4932', precision=128) - 1) < 0.1*10**-f128.dig
assert f64.cast_check(0.5) == 0.5
assert abs(f64.cast_check(3.7) - 3.7) < 3e-17
assert isinstance(f64.cast_check(3), (Float, float))
assert f64.cast_nocheck(oo) == float('inf')
assert f64.cast_nocheck(-oo) == float('-inf')
assert f64.cast_nocheck(float(oo)) == float('inf')
assert f64.cast_nocheck(float(-oo)) == float('-inf')
assert math.isnan(f64.cast_nocheck(nan))
assert f32 != f64
assert f64 == f64.func(*f64.args)
def test_FloatType():
assert f16.dig == 3
assert f32.dig == 6
assert f64.dig == 15
assert f80.dig == 18
assert f128.dig == 33
assert f16.decimal_dig == 5
assert f32.decimal_dig == 9
assert f64.decimal_dig == 17
assert f80.decimal_dig == 21
assert f128.decimal_dig == 36
assert f16.max_exponent == 16
assert f32.max_exponent == 128
assert f64.max_exponent == 1024
assert f80.max_exponent == 16384
assert f128.max_exponent == 16384
assert f16.min_exponent == -13
assert f32.min_exponent == -125
assert f64.min_exponent == -1021
assert f80.min_exponent == -16381
assert f128.min_exponent == -16381
assert abs(f16.eps / Float('0.00097656', precision=16) - 1) < 0.1*10**-f16.dig
assert abs(f32.eps / Float('1.1920929e-07', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.eps / Float('2.2204460492503131e-16', precision=64) - 1) < 0.1*10**-f64.dig
assert abs(f80.eps / Float('1.08420217248550443401e-19', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.eps / Float(' 1.92592994438723585305597794258492732e-34', precision=128) - 1) < 0.1*10**-f128.dig
assert abs(f16.max / Float('65504', precision=16) - 1) < .1*10**-f16.dig
assert abs(f32.max / Float('3.40282347e+38', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.max / Float('1.79769313486231571e+308', precision=64) - 1) < 0.1*10**-f64.dig # cf. np.finfo(np.float64).max
assert abs(f80.max / Float('1.18973149535723176502e+4932', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.max / Float('1.18973149535723176508575932662800702e+4932', precision=128) - 1) < 0.1*10**-f128.dig
# cf. np.finfo(np.float32).tiny
assert abs(f16.tiny / Float('6.1035e-05', precision=16) - 1) < 0.1*10**-f16.dig
assert abs(f32.tiny / Float('1.17549435e-38', precision=32) - 1) < 0.1*10**-f32.dig
assert abs(f64.tiny / Float('2.22507385850720138e-308', precision=64) - 1) < 0.1*10**-f64.dig
assert abs(f80.tiny / Float('3.36210314311209350626e-4932', precision=80) - 1) < 0.1*10**-f80.dig
assert abs(f128.tiny / Float('3.3621031431120935062626778173217526e-4932', precision=128) - 1) < 0.1*10**-f128.dig
assert f64.cast_check(0.5) == 0.5
assert abs(f64.cast_check(3.7) - 3.7) < 3e-17
assert isinstance(f64.cast_check(3), (Float, float))
assert f64.cast_nocheck(oo) == float('inf')
assert f64.cast_nocheck(-oo) == float('-inf')
assert f64.cast_nocheck(float(oo)) == float('inf')
assert f64.cast_nocheck(float(-oo)) == float('-inf')
assert math.isnan(f64.cast_nocheck(nan))
assert f32 != f64
assert f64 == f64.func(*f64.args)
def test_Type__cast_check__floating_point():
raises(ValueError, lambda: f32.cast_check(123.45678949))
raises(ValueError, lambda: f32.cast_check(12.345678949))
raises(ValueError, lambda: f32.cast_check(1.2345678949))
raises(ValueError, lambda: f32.cast_check(.12345678949))
assert abs(123.456789049 - f32.cast_check(123.456789049) - 4.9e-8) < 1e-8
assert abs(0.12345678904 - f32.cast_check(0.12345678904) - 4e-11) < 1e-11
dcm21 = Float('0.123456789012345670499') # 21 decimals
assert abs(dcm21 - f64.cast_check(dcm21) - 4.99e-19) < 1e-19
f80.cast_check(Float('0.12345678901234567890103', precision=88))
raises(ValueError, lambda: f80.cast_check(Float('0.12345678901234567890149', precision=88)))
v10 = 12345.67894
raises(ValueError, lambda: f32.cast_check(v10))
assert abs(Float(str(v10), precision=64+8) - f64.cast_check(v10)) < v10*1e-16
assert abs(f32.cast_check(2147483647) - 2147483650) < 1
def test_Type__cast_check__floating_point():
raises(ValueError, lambda: f32.cast_check(123.45678949))
raises(ValueError, lambda: f32.cast_check(12.345678949))
raises(ValueError, lambda: f32.cast_check(1.2345678949))
raises(ValueError, lambda: f32.cast_check(.12345678949))
assert abs(123.456789049 - f32.cast_check(123.456789049) - 4.9e-8) < 1e-8
assert abs(0.12345678904 - f32.cast_check(0.12345678904) - 4e-11) < 1e-11
dcm21 = Float('0.123456789012345670499') # 21 decimals
assert abs(dcm21 - f64.cast_check(dcm21) - 4.99e-19) < 1e-19
f80.cast_check(Float('0.12345678901234567890103', precision=88))
raises(ValueError, lambda: f80.cast_check(Float('0.12345678901234567890149', precision=88)))
v10 = 12345.67894
raises(ValueError, lambda: f32.cast_check(v10))
assert abs(Float(str(v10), precision=64+8) - f64.cast_check(v10)) < v10*1e-16
assert abs(f32.cast_check(2147483647) - 2147483650) < 1