Convert signed IEEE 754 float to hexadecimal representation

匿名 (未验证) 提交于 2019-12-03 02:30:02

问题:

I'm using a front-end of Lua which is unfortunately outdated, so I'm stuck with version 5.1 here, meaning the bit32 library is out of reach (which I probably could have used to convert this).

So I'm wondering if anyone knows of a way I could implement either a floating-point to binary (digits) function or, better yet, floating-point to hex. The best I've been able to come up with so far is a decimal to binary/hex function...

回答1:

lua-MessagePack. A big thank you goes to him.

function float2hex (n)     if n == 0.0 then return 0.0 end      local sign = 0     if n < 0.0 then         sign = 0x80         n = -n     end      local mant, expo = math.frexp(n)     local hext = {}      if mant ~= mant then         hext[#hext+1] = string.char(0xFF, 0x88, 0x00, 0x00)      elseif mant == math.huge or expo > 0x80 then         if sign == 0 then             hext[#hext+1] = string.char(0x7F, 0x80, 0x00, 0x00)         else             hext[#hext+1] = string.char(0xFF, 0x80, 0x00, 0x00)         end      elseif (mant == 0.0 and expo == 0) or expo < -0x7E then         hext[#hext+1] = string.char(sign, 0x00, 0x00, 0x00)      else         expo = expo + 0x7E         mant = (mant * 2.0 - 1.0) * math.ldexp(0.5, 24)         hext[#hext+1] = string.char(sign + math.floor(expo / 0x2),                                     (expo % 0x2) * 0x80 + math.floor(mant / 0x10000),                                     math.floor(mant / 0x100) % 0x100,                                     mant % 0x100)     end      return tonumber(string.gsub(table.concat(hext),"(.)",                                 function (c) return string.format("%02X%s",string.byte(c),"") end), 16) end   function hex2float (c)     if c == 0 then return 0.0 end     local c = string.gsub(string.format("%X", c),"(..)",function (x) return string.char(tonumber(x, 16)) end)     local b1,b2,b3,b4 = string.byte(c, 1, 4)     local sign = b1 > 0x7F     local expo = (b1 % 0x80) * 0x2 + math.floor(b2 / 0x80)     local mant = ((b2 % 0x80) * 0x100 + b3) * 0x100 + b4      if sign then         sign = -1     else         sign = 1     end      local n      if mant == 0 and expo == 0 then         n = sign * 0.0     elseif expo == 0xFF then         if mant == 0 then             n = sign * math.huge         else             n = 0.0/0.0         end     else         n = sign * math.ldexp(1.0 + mant / 0x800000, expo - 0x7F)     end      return n end 


回答2:

The float2hex in the example above returns an int. That being said if anyone needs it here is a intToHex conversion function that can be found in the lua archives (http://lua-users.org/lists/lua-l/2004-09/msg00054.html). I used the return value of the float2hex function above and fed it into this function. The output of intToHex is a string (Ex: 0xA4CD).

function intToHex(IN)     local B,K,OUT,I,D=16,"0123456789ABCDEF","",0     while IN>0 do         I=I+1         IN,D=math.floor(IN/B),math.mod(IN,B)+1         OUT=string.sub(K,D,D)..OUT     end       OUT = "0x" .. OUT     return OUT end 


回答3:

The issue I faced was trying to convert from the Hex back to a Float; You can use that tonumber(x, 16) to convert it in combination with "Error - Syntactical Remorse's" response. The string.sub is only there because my Modbus driver does not swap the bytes :)

function convertFloatSwapWord(number) -- number is string of format = 0x########      local x = 0      x = float2hex(number)      x = intToHex(x)      x = string.sub(x,5,6) .. string.sub(x,3,4) .. string.sub(x,9,10) .. string.sub(x,7,8)      x = hex2float(tonumber(x, 16))      return x end 


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