m += 1
if get_mantissa(m) == ((1<<24)-1):
e += 1
- #if the num is NaN, than adjust
+
+ # this is 2nd-stage normalisation. can move it to a separate fn.
+
+ #if the num is NaN, then adjust (normalised NaN rather than de-normed NaN)
if (e == 128 & m !=0):
- z[31] = 1
- z[30:23] = 255
- z[22] = 1
- z[21:0] = 0
- #if the num is Inf, then adjust
+ # these are in IEEE754 format, this function returns s,e,m not z
+ z[31] = 1 # sign (so, s=1)
+ z[30:23] = 255 # exponent (minus 128, so e = 127
+ z[22] = 1 # high bit of mantissa, so m = 1<<22 i think
+ z[21:0] = 0 # rest of mantissa is zero, so m = 1<<22 is good.
+
+ #if the num is Inf, then adjust (to normalised +/-INF)
if (e == 128):
- z[31] = s
- z[30:23] = 255
- z[22:0] = 0
+ # these are in IEEE754 format, this function returns s,e,m not z
+ z[31] = s # s is already s, so do nothing to s.
+ z[30:23] = 255 # have to subtract 128, so e = 127 (again)
+ z[22:0] = 0 # mantissa... so m=0
return s, m, e