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from __future__ import with_statement
import rpython.rlib.rcomplex as c
from rpython.rlib.rfloat import copysign, isnan, isinf
import os, sys, math, struct
def test_add():
for c1, c2, result in [
((0, 0), (0, 0), (0, 0)),
((1, 0), (2, 0), (3, 0)),
((0, 3), (0, 2), (0, 5)),
((10., -3.), (-5, 7), (5, 4)),
]:
assert c.c_add(c1, c2) == result
def test_sub():
for c1, c2, result in [
((0, 0), (0, 0), (0, 0)),
((1, 0), (2, 0), (-1, 0)),
((0, 3), (0, 2), (0, 1)),
((10, -3), (-5, 7), (15, -10)),
((42, 0.3), (42, 0.3), (0, 0))
]:
assert c.c_sub(c1, c2) == result
def test_mul():
for c1, c2, result in [
((0, 0), (0, 0), (0, 0)),
((1, 0), (2, 0), (2, 0)),
((0, 3), (0, 2), (-6, 0)),
((0, -3), (-5, 0), (0, 15)),
]:
assert c.c_mul(c1, c2) == result
def test_div():
c.c_div((2., 3.), (float('nan'), 0.)) == (float('nan'), float('nan'))
def parse_testfile2(fname):
"""Parse a file with test values
Empty lines or lines starting with -- are ignored
yields id, fn, arg1_real, arg1_imag, arg2_real, arg2_imag,
exp_real, exp_imag where numbers in file may be expressed as floating point or hex
"""
fname = os.path.join(os.path.dirname(__file__), fname)
with open(fname) as fp:
for line in fp:
# skip comment lines and blank lines
if line.startswith('--') or not line.strip():
continue
lhs, rhs = line.split('->')
lhs_pieces = lhs.split()
rhs_pieces = rhs.split()
for i in range(2, len(lhs_pieces)):
if lhs_pieces[i].lower().startswith('0x'):
lhs_pieces[i] = struct.unpack('d',
struct.pack('q',int(lhs_pieces[i])))
else:
lhs_pieces[i] = float(lhs_pieces[i])
for i in range(2):
if rhs_pieces[i].lower().startswith('0x'):
rhs_pieces[i] = struct.unpack('d',
struct.pack('l',int(rhs_pieces[i])))
else:
rhs_pieces[i] = float(rhs_pieces[i])
#id, fn, arg1_real, arg1_imag arg2_real, arg2_imag =
#exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1]
flags = rhs_pieces[2:]
id_f, fn = lhs_pieces[:2]
if len(lhs_pieces)>4:
args = (lhs_pieces[2:4], lhs_pieces[4:])
else:
args = lhs_pieces[2:]
yield id_f, fn, args, rhs_pieces[:2], flags
def parse_testfile(fname):
"""Parse a file with test values
Empty lines or lines starting with -- are ignored
yields id, fn, arg_real, arg_imag, exp_real, exp_imag
"""
fname = os.path.join(os.path.dirname(__file__), fname)
with open(fname) as fp:
for line in fp:
# skip comment lines and blank lines
if line.startswith('--') or not line.strip():
continue
lhs, rhs = line.split('->')
id, fn, arg_real, arg_imag = lhs.split()
rhs_pieces = rhs.split()
exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1]
flags = rhs_pieces[2:]
yield (id, fn,
float(arg_real), float(arg_imag),
float(exp_real), float(exp_imag),
flags
)
def args_to_str(args):
if isinstance(args[0],(list, tuple)):
return '(complex(%r, %r), complex(%r, %r))' % \
(args[0][0], args[0][1], args[1][0], args[1][1])
else:
return '(complex(%r, %r))' % (args[0], args[1])
def rAssertAlmostEqual(a, b, rel_err = 2e-15, abs_err = 5e-323, msg=''):
"""Fail if the two floating-point numbers are not almost equal.
Determine whether floating-point values a and b are equal to within
a (small) rounding error. The default values for rel_err and
abs_err are chosen to be suitable for platforms where a float is
represented by an IEEE 754 double. They allow an error of between
9 and 19 ulps.
"""
# special values testing
if isnan(a):
if isnan(b):
return
raise AssertionError(msg + '%r should be nan' % (b,))
if isinf(a):
if a == b:
return
raise AssertionError(msg + 'finite result where infinity expected: '
'expected %r, got %r' % (a, b))
# if both a and b are zero, check whether they have the same sign
# (in theory there are examples where it would be legitimate for a
# and b to have opposite signs; in practice these hardly ever
# occur).
if not a and not b:
# only check it if we are running on top of CPython >= 2.6
if sys.version_info >= (2, 6) and copysign(1., a) != copysign(1., b):
raise AssertionError(msg + 'zero has wrong sign: expected %r, '
'got %r' % (a, b))
# if a-b overflows, or b is infinite, return False. Again, in
# theory there are examples where a is within a few ulps of the
# max representable float, and then b could legitimately be
# infinite. In practice these examples are rare.
try:
absolute_error = abs(b-a)
except OverflowError:
pass
else:
# test passes if either the absolute error or the relative
# error is sufficiently small. The defaults amount to an
# error of between 9 ulps and 19 ulps on an IEEE-754 compliant
# machine.
if absolute_error <= max(abs_err, rel_err * abs(a)):
return
raise AssertionError(msg + '%r and %r are not sufficiently close' % (a, b))
def test_specific_values():
#if not float.__getformat__("double").startswith("IEEE"):
# return
for id, fn, arg, expected, flags in parse_testfile2('rcomplex_testcases.txt'):
function = getattr(c, 'c_' + fn)
#
if 'divide-by-zero' in flags or 'invalid' in flags:
try:
actual = function(*arg)
except ValueError:
continue
else:
raise AssertionError('ValueError not raised in test '
'%s: %s%s' % (id, fn, args_to_str(arg)))
if 'overflow' in flags:
try:
actual = function(*arg)
except OverflowError:
continue
else:
raise AssertionError('OverflowError not raised in test '
'%s: %s%s' % (id, fn, args_to_str(arg)))
actual = function(*arg)
if 'ignore-real-sign' in flags:
actual = (abs(actual[0]), actual[1])
expected = (abs(expected[0]), expected[1])
if 'ignore-imag-sign' in flags:
actual = (actual[0], abs(actual[1]))
expected = (expected[0], abs(expected[1]))
# for the real part of the log function, we allow an
# absolute error of up to 2e-15.
if fn in ('log', 'log10'):
real_abs_err = 2e-15
else:
real_abs_err = 5e-323
error_message = (
'%s: %s%s\n'
'Expected: complex(%r, %r)\n'
'Received: complex(%r, %r)\n'
) % (id, fn, args_to_str(arg),
expected[0], expected[1],
actual[0], actual[1])
rAssertAlmostEqual(expected[0], actual[0],
abs_err=real_abs_err,
msg=error_message)
rAssertAlmostEqual(expected[1], actual[1],
abs_err=real_abs_err,
msg=error_message)
for id, fn, a, expected, flags in parse_testfile2('rcomplex_testcases2.txt'):
function = getattr(c, 'c_' + fn)
#
if 'divide-by-zero' in flags or 'invalid' in flags:
try:
actual = function(*a)
except ValueError:
continue
else:
raise AssertionError('ValueError not raised in test '
'%s: %s%s' % (id, fn, args_to_str(a)))
if 'overflow' in flags:
try:
actual = function(*a)
except OverflowError:
continue
else:
raise AssertionError('OverflowError not raised in test '
'%s: %s%s' % (id, fn, args_to_str(a)))
actual = function(*a)
if 'ignore-real-sign' in flags:
actual = (abs(actual[0]), actual[1])
expected = (abs(expected[0]), expected[1])
if 'ignore-imag-sign' in flags:
actual = (actual[0], abs(actual[1]))
expected = (expected[0], abs(expected[1]))
# for the real part of the log function, we allow an
# absolute error of up to 2e-15.
if fn in ('log', 'log10'):
real_abs_err = 2e-15
else:
real_abs_err = 5e-323
error_message = (
'%s: %s%s\n'
'Expected: complex(%r, %r)\n'
'Received: complex(%r, %r)\n'
) % (id, fn, args_to_str(a),
expected[0], expected[1],
actual[0], actual[1])
rAssertAlmostEqual(expected[0], actual[0],
abs_err=real_abs_err,
msg=error_message)
rAssertAlmostEqual(expected[1], actual[1],
abs_err=real_abs_err,
msg=error_message)
def test_isnan():
assert not c.c_isnan(0, 0)
assert c.c_isnan(float('nan'), 0)
assert c.c_isnan(1, float('nan'))
assert not c.c_isnan(float('inf'), 0)
def test_isinf():
assert not c.c_isinf(0, 0)
assert c.c_isinf(float('inf'), 0)
assert c.c_isinf(float('-inf'), 0)
assert c.c_isinf(1, float('inf'))
assert not c.c_isinf(float('nan'), 0)
def test_isfinite():
assert c.c_isfinite(0, 0)
assert not c.c_isfinite(float('nan'), 0)
assert not c.c_isfinite(float('-inf'), 0)
assert not c.c_isfinite(0, float('nan'))
assert not c.c_isfinite(0, float('-inf'))
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