File: rcomplex_testcases2.txt

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-- Testcases for functions in rcomplex, based on syntax of cpython's
-- cmath tests.
--
-- Each line takes the form:
--
-- <testid> <function> <input_value> [<input_value>] -> <output_value> <flags>
--
-- where:
--
--   <testid> is a short name identifying the test,
--
--   <function> is the function to be tested (exp, cos, asinh, ...),
--
--   <input_value> is either a pair or a quad of values separated by whitespace
--     representing real and imaginary parts of a complex number, and
--
--   <output_value> is the expected (ideal) output value, again
--     represented as a pair of values.
--
--   The values used may be a hex representation of a float beginning with
--   '0x' or '0X' or a decimal representation of a float.
--
--   <flags> is a list of the floating-point flags required by C99
--
-- The possible flags are:
--
--   divide-by-zero : raised when a finite input gives a
--     mathematically infinite result.
--
--   overflow : raised when a finite input gives a finite result whose
--     real or imaginary part is too large to fit in the usual range
--     of an IEEE 754 double.
--
--   invalid : raised for invalid inputs.
--
--   ignore-real-sign : indicates that the sign of the real part of
--     the result is unspecified; if the real part of the result is
--     given as inf, then both -inf and inf should be accepted as
--     correct.
--
--   ignore-imag-sign : indicates that the sign of the imaginary part
--     of the result is unspecified.
--
-- Flags may appear in any order.
--
-- Lines beginning with '--' (like this one) start a comment, and are
-- ignored.  Blank lines, or lines containing only whitespace, are also
-- ignored.
--
-- These tests are designed to excercise interesting values of functions,
-- includind special values (+inf, -inf, nan, +0, -0, min_mantissa,
-- min_exponent, max_mantissa, max_exponent) in both input and output,
-- random values, and any branch cuts implicit in the function
-- (non-continuities in function value)

 
-----------------------
-- pow: power --
-----------------------
-- if x is 1.0, result is 1.0
pow0000 pow 1.0 0.0 0.0 0.0 -> 1.0 0.0
pow0001 pow 1.0 0.0 2.0 0.0 -> 1.0 0.0
pow0002 pow 1.0 0.0 0.0 2.0 -> 1.0 0.0
pow0003 pow 1.0 0.0 2.0 2.0 -> 1.0 0.0
pow0004 pow 1.0 0.0 inf 0.0 -> 1.0 0.0
pow0005 pow 1.0 0.0 0.0 inf -> 1.0 0.0
pow0006 pow 1.0 0.0 inf inf -> 1.0 0.0
pow0007 pow 1.0 0.0 -inf 0.0 -> 1.0 0.0
pow0008 pow 1.0 0.0 0.0 -inf -> 1.0 0.0
pow0009 pow 1.0 0.0 -inf -inf -> 1.0 0.0
pow0010 pow 1.0 0.0 nan 0.0 -> 1.0 0.0
pow0011 pow 1.0 0.0 0.0 nan -> 1.0 0.0
pow0012 pow 1.0 0.0 nan nan -> 1.0 0.0
-- if x is 0.0, result is +0 or -0
pow0020 pow 0.0 0.0  1.0 0.0 -> 0.0 0.0
-- if y is 0.0, result is 1.0
pow0021 pow 2.0 0.0  0.0 0.0 -> 1.0 0.0
pow0022 pow 0.0 2.0  0.0 0.0 -> 1.0 0.0
pow0023 pow 2.0 2.0  0.0 0.0 -> 1.0 0.0
pow0024 pow inf 0.0  0.0 0.0 -> 1.0 0.0
pow0025 pow 0.0 inf  0.0 0.0 -> 1.0 0.0
pow0026 pow inf inf  0.0 0.0 -> 1.0 0.0
pow0027 pow -inf 0.0 0.0 0.0 -> 1.0 0.0
pow0028 pow 0.0 -inf 0.0 0.0 -> 1.0 0.0
pow0029 pow -inf -inf 0.0 0.0 -> 1.0 0.0
pow0030 pow nan 0.0  0.0 0.0 -> 1.0 0.0
pow0031 pow 0.0 nan  0.0 0.0 -> 1.0 0.0
pow0032 pow nan nan  0.0 0.0 -> 1.0 0.0

pow0042 pow 2.0 0.0  inf 0.0 -> inf 0.0