50 lines
1.6 KiB
Python
Executable File
50 lines
1.6 KiB
Python
Executable File
#!/usr/bin/python3
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import struct
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from fractions import Fraction
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def to_float_binary(value):
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# Use 'struct.pack' to pack the value into bytes using IEEE 754 floating-point format
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# '>f' specifies big-endian single-precision float. Change to '>d' for double precision.
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packed = struct.pack('>f', value)
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# Convert the bytes to an integer and then to a binary string
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return ''.join(f'{byte:08b}' for byte in packed)
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def to_float_bits(number) :
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float_bytes = struct.pack('>f', number)
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return struct.unpack('>I', float_bytes)[0], float_bytes
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def fixedPoint(n, shift) :
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if shift >= 0 :
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return Fraction(n) * (1<<shift)
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else :
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return Fraction(n) / (1<<-shift)
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def print_float_fix(number) :
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float_int32, float_bytes = to_float_bits(number)
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print (f"float hex: 0x{float_int32:08x} 0x{int(number*(1<<128)):x}")
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# print ("float hex:", float_bytes.hex(), hex(int(number*(1<<128))))
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print("Assuming 128.128 fixed point")
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print("largest number:")
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number = fixedPoint(0xffffff, 127-24) # Largest number that converts to FP and fits in 128.128
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assert number < 1<<256
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# print (hex(1<<255))
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# print (hex(int(number)<<128))
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print_float_fix(number)
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print("negative largest number:")
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number = fixedPoint(-0xffffff, 127-24) # Largest number
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print_float_fix(number)
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print("smallest number:")
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number = fixedPoint(0x1, -128) # Smallest number
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print_float_fix(number)
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print("negative smallest number:")
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number = fixedPoint(-0x1, -128)
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print_float_fix(number)
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print()
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# number = fixedPoint(0x7fffff, 127-23)
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# print_float_fix(number)
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# number = fixedPoint(0xffffff, 127-23)
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# print_float_fix(number)
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