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Following discussions in PR #16666, this commit updates the float formatting code to improve the `repr` reversibility, i.e. the percentage of valid floating point numbers that do parse back to the same number when formatted by `repr` (in CPython it's 100%). This new code offers a choice of 3 float conversion methods, depending on the desired tradeoff between code size and conversion precision: - BASIC method is the smallest code footprint - APPROX method uses an iterative method to approximate the exact representation, which is a bit slower but but does not have a big impact on code size. It provides `repr` reversibility on >99.8% of the cases in double precision, and on >98.5% in single precision (except with REPR_C, where reversibility is 100% as the last two bits are not taken into account). - EXACT method uses higher-precision floats during conversion, which provides perfect results but has a higher impact on code size. It is faster than APPROX method, and faster than the CPython equivalent implementation. It is however not available on all compilers when using FLOAT_IMPL_DOUBLE. Here is the table comparing the impact of the three conversion methods on code footprint on PYBV10 (using single-precision floats) and reversibility rate for both single-precision and double-precision floats. The table includes current situation as a baseline for the comparison: PYBV10 REPR_C FLOAT DOUBLE current = 364688 12.9% 27.6% 37.9% basic = 364812 85.6% 60.5% 85.7% approx = 365080 100.0% 98.5% 99.8% exact = 366408 100.0% 100.0% 100.0% Signed-off-by: Yoctopuce dev <dev@yoctopuce.com>
44 lines
747 B
Python
44 lines
747 B
Python
# Test struct pack/unpack with 'e' typecode.
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try:
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import struct
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except ImportError:
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print("SKIP")
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raise SystemExit
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test_values = (
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1e-7,
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2e-7,
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1e-6,
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1e-5,
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1e-4,
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1e-3,
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1e-2,
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0.1,
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0,
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1,
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2,
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4,
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8,
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10,
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100,
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1e3,
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1e4,
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6e4,
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float("inf"),
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)
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for j in test_values:
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for i in (j, -j):
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x = struct.pack("<e", i)
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v = struct.unpack("<e", x)[0]
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print("%.7f %s %.5f %s" % (i, x, v, i == v))
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# In CPython, packing a float that doesn't fit into a half-float raises OverflowError.
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# But in MicroPython it does not, but rather stores the value as inf.
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# This test is here for coverage.
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try:
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struct.pack("e", 1e15)
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except OverflowError:
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pass
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