    {-# LANGUAGE ScopedTypeVariables #-}
    {-# LANGUAGE BangPatterns, MagicHash #-}
    -- |
    -- Module      : Data.ByteString.Builder.RealFloat.D2S
    -- Copyright   : (c) Lawrence Wu 2021
    -- License     : BSD-style
    -- Maintainer  : lawrencejwu@gmail.com
    --
    -- Implementation of double-to-string conversion

    module Data.ByteString.Builder.RealFloat.D2S
        ( FloatingDecimal(..)
        , d2s
        , d2Intermediate
        ) where

    import Control.Arrow (first)
    import Data.Bits ((.|.), (.&.), unsafeShiftL, unsafeShiftR)
    import Data.ByteString.Builder.Internal (Builder)
    import Data.ByteString.Builder.Prim (primBounded)
    import Data.ByteString.Builder.RealFloat.Internal
    import Data.Maybe (fromMaybe)
    import GHC.Int (Int32(..))
    import GHC.Word (Word64(..))

    -- See Data.ByteString.Builder.RealFloat.TableGenerator for a high-level
    -- explanation of the ryu algorithm

    -- | Table of 2^k / 5^q + 1
    -- Byte-swapped version of
    -- > fmap (finv double_pow5_inv_bitcount) [0..double_max_inv_split]
    double_pow5_inv_split :: Addr
    double_pow5_inv_split :: Addr
    double_pow5_inv_split = Addr# -> Addr
    Addr
      Addr#
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      \\x56\x91\xfd\xd6\xd0\xf7\x97\xe5\x71\xd9\x38\x62\xcd\x86\xbd\x1d\
      \\xab\xda\xca\x78\x0d\x93\x79\x84\xc1\x7a\x2d\xe8\x3d\xd2\xca\x17\
      \\x56\x15\x6f\x2d\x71\x42\x61\xd0\x9a\xc8\x8a\x86\x31\xa8\x08\x13\
      \\x22\x22\x18\xaf\x4e\x6a\x68\x4d\x91\xda\xaa\x3d\x4f\x40\x74\x1e\
      \\xe8\xb4\x79\xf2\x3e\x88\x53\xa4\xda\xae\x88\x64\x3f\x00\x5d\x18\
      \\x87\x5d\x61\x28\xff\x6c\xdc\xe9\xae\x58\x6d\x50\xcc\x99\x7d\x13\
      \\xa4\x95\x68\x0d\x65\xae\x60\xa9\xe4\x8d\x48\x1a\x7a\x5c\x2f\x1f\
      \\x83\x44\xed\x3d\xb7\xbe\xb3\xba\x83\x71\xa0\xae\x61\xb0\xf2\x18\
      \\x36\x9d\x8a\x31\x2c\x32\xf6\x2e\x36\xc1\xe6\xbe\xe7\x59\xf5\x13"#

    -- | Table of 5^(-e2-q) / 2^k + 1
    -- Byte-swapped version of
    -- > fmap (fnorm double_pow5_bitcount) [0..double_max_split]
    double_pow5_split :: Addr
    double_pow5_split :: Addr
    double_pow5_split = Addr# -> Addr
    Addr
      Addr#
    "\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x10\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x14\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x19\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x40\x1f\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x88\x13\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x6a\x18\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x80\x84\x1e\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xd0\x12\x13\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x84\xd7\x17\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x65\xcd\x1d\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x20\x5f\xa0\x12\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xe8\x76\x48\x17\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xa2\x94\x1a\x1d\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x40\xe5\x9c\x30\x12\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x90\x1e\xc4\xbc\x16\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x34\x26\xf5\x6b\x1c\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x80\xe0\x37\x79\xc3\x11\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xa0\xd8\x85\x57\x34\x16\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\xc8\x4e\x67\x6d\xc1\x1b\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x3d\x91\x60\xe4\x58\x11\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x40\x8c\xb5\x78\x1d\xaf\x15\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x50\xef\xe2\xd6\xe4\x1a\x1b\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x00\x92\xd5\x4d\x06\xcf\xf0\x10\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x80\xf6\x4a\xe1\xc7\x02\x2d\x15\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x20\xb4\x9d\xd9\x79\x43\x78\x1a\
      \\x00\x00\x00\x00\x00\x00\x00\x00\x94\x90\x02\x28\x2c\x2a\x8b\x10\
      \\x00\x00\x00\x00\x00\x00\x00\x00\xb9\x34\x03\x32\xb7\xf4\xad\x14\
      \\x00\x00\x00\x00\x00\x00\x00\x40\xe7\x01\x84\xfe\xe4\x71\xd9\x19\
      \\x00\x00\x00\x00\x00\x00\x00\x88\x30\x81\x12\x1f\x2f\xe7\x27\x10\
      \\x00\x00\x00\x00\x00\x00\x00\xaa\x7c\x21\xd7\xe6\xfa\xe0\x31\x14\
      \\x00\x00\x00\x00\x00\x00\x80\xd4\xdb\xe9\x8c\xa0\x39\x59\x3e\x19\
      \\x00\x00\x00\x00\x00\x00\xa0\xc9\x52\x24\xb0\x08\x88\xef\x8d\x1f\
      \\x00\x00\x00\x00\x00\x00\x04\xbe\xb3\x16\x6e\x05\xb5\xb5\xb8\x13\
      \\x00\x00\x00\x00\x00\x00\x85\xad\x60\x9c\xc9\x46\x22\xe3\xa6\x18\
      \\x00\x00\x00\x00\x00\x40\xe6\xd8\x78\x03\x7c\xd8\xea\x9b\xd0\x1e\
      \\x00\x00\x00\x00\x00\xe8\x8f\x87\x2b\x82\x4d\xc7\x72\x61\x42\x13\
      \\x00\x00\x00\x00\x00\xe2\x73\x69\xb6\xe2\x20\x79\xcf\xf9\x12\x18\
      \\x00\x00\x00\x00\x80\xda\xd0\x03\x64\x1b\x69\x57\x43\xb8\x17\x1e\
      \\x00\x00\x00\x00\x90\x88\x62\x82\x1e\xb1\xa1\x16\x2a\xd3\xce\x12\
      \\x00\x00\x00\x00\xb4\x2a\xfb\x22\x66\x1d\x4a\x9c\xf4\x87\x82\x17\
      \\x00\x00\x00\x00\x61\xf5\xb9\xab\xbf\xa4\x5c\xc3\xf1\x29\x63\x1d\
      \\x00\x00\x00\xa0\x5c\x39\x54\xcb\xf7\xe6\x19\x1a\x37\xfa\x5d\x12\
      \\x00\x00\x00\xc8\xb3\x47\x29\xbe\xb5\x60\xa0\xe0\xc4\x78\xf5\x16\
      \\x00\x00\x00\xba\xa0\x99\xb3\x2d\xe3\x78\xc8\x18\xf6\xd6\xb2\x1c\
      \\x00\x00\x40\x74\x04\x40\x90\xfc\x8d\x4b\x7d\xcf\x59\xc6\xef\x11\
      \\x00\x00\x50\x91\x05\x50\xb4\x7b\x71\x9e\x5c\x43\xf0\xb7\x6b\x16\
      \\x00\x00\xa4\xf5\x06\x64\xa1\xda\x0d\xc6\x33\x54\xec\xa5\x06\x1c\
      \\x00\x80\x86\x59\x84\xde\xa4\xa8\xc8\x5b\xa0\xb4\xb3\x27\x84\x11\
      \\x00\x20\xe8\x6f\x25\x16\xce\xd2\xba\x72\xc8\xa1\xa0\x31\xe5\x15\
      \\x00\x28\xe2\xcb\xae\x9b\x81\x87\x69\x8f\x3a\xca\x08\x7e\x5e\x1b\
      \\x00\x59\x6d\x3f\x4d\x01\xb1\xf4\xa1\x99\x64\x7e\xc5\x0e\x1b\x11\
      \\x40\xaf\x48\x8f\xa0\x41\xdd\x71\x0a\xc0\xfd\xdd\x76\xd2\x61\x15\
      \\x10\xdb\x1a\xb3\x08\x92\x54\x0e\x0d\x30\x7d\x95\x14\x47\xba\x1a\
      \\xea\xc8\xf0\x6f\x45\xdb\xf4\x28\x08\x3e\x6e\xdd\x6c\x6c\xb4\x10\
      \\x24\xfb\xec\xcb\x16\x12\x32\x33\x8a\xcd\xc9\x14\x88\x87\xe1\x14\
      \\xed\x39\xe8\x7e\x9c\x96\xfe\xbf\xec\x40\xfc\x19\x6a\xe9\x19\x1a\
      \\x34\x24\x51\xcf\x21\x1e\xff\xf7\x93\xa8\x3d\x50\xe2\x31\x50\x10\
      \\x41\x6d\x25\x43\xaa\xe5\xfe\xf5\xb8\x12\x4d\xe4\x5a\x3e\x64\x14\
      \\x92\xc8\xee\xd3\x14\x9f\x7e\x33\x67\x57\x60\x9d\xf1\x4d\x7d\x19\
      \\xb6\x7a\xea\x08\xda\x46\x5e\x00\x41\x6d\xb8\x04\x6e\xa1\xdc\x1f\
      \\xb2\x8c\x92\x45\x48\xec\x3a\xa0\x48\x44\xf3\xc2\xe4\xe4\xe9\x13\
      \\xde\x2f\xf7\x56\x5a\xa7\x49\xc8\x5a\x15\xb0\xf3\x1d\x5e\xe4\x18\
      \\xd6\xfb\xb4\xec\x30\x11\x5c\x7a\xb1\x1a\x9c\x70\xa5\x75\x1d\x1f\
      \\x65\x1d\xf1\x93\xbe\x8a\x79\xec\xae\x90\x61\x66\x87\x69\x72\x13\
      \\xbf\x64\xed\x38\x6e\xed\x97\xa7\xda\xf4\xf9\x3f\xe9\x03\x4f\x18\
      \\xef\xbd\x28\xc7\xc9\xe8\x7d\x51\x11\x72\xf8\x8f\xe3\xc4\x62\x1e\
      \\xb5\x76\x79\x1c\x7e\xb1\xee\xd2\x4a\x47\xfb\x39\x0e\xbb\xfd\x12\
      \\x62\xd4\x97\xa3\xdd\x5d\xaa\x87\x1d\x19\x7a\xc8\xd1\x29\xbd\x17\
      \\x7b\xc9\x7d\x0c\x55\xf5\x94\xe9\x64\x9f\x98\x3a\x46\x74\xac\x1d\
      \\xed\x9d\xce\x27\x55\x19\xfd\x11\x9f\x63\x9f\xe4\xab\xc8\x8b\x12\
      \\x68\x45\xc2\x71\xaa\x5f\x7c\xd6\x86\x3c\xc7\xdd\xd6\xba\x2e\x17\
      \\xc2\xd6\x32\x0e\x95\x77\x1b\x8c\xa8\x0b\x39\x95\x8c\x69\xfa\x1c\
      \\x39\xc6\xdf\x28\xbd\x2a\x91\x57\x49\xa7\x43\xdd\xf7\x81\x1c\x12\
      \\xc8\xb7\x17\x73\x6c\x75\x75\xad\x1b\x91\x94\xd4\x75\xa2\xa3\x16\
      \\xba\xa5\xdd\x8f\xc7\xd2\xd2\x98\x62\xb5\xb9\x49\x13\x8b\x4c\x1c\
      \\x94\x87\xea\xb9\xbc\xc3\x83\x9f\x5d\x11\x14\x0e\xec\xd6\xaf\x11\
      \\x79\x29\x65\xe8\xab\xb4\x64\x07\xb5\x15\x99\x11\xa7\xcc\x1b\x16\
      \\xd7\x73\x7e\xe2\xd6\xe1\x3d\x49\x22\x5b\xff\xd5\xd0\xbf\xa2\x1b\
      \\x66\x08\x8f\x4d\x26\xad\xc6\x6d\xf5\x98\xbf\x85\xe2\xb7\x45\x11\
      \\x80\xca\xf2\xe0\x6f\x58\x38\xc9\x32\x7f\x2f\x27\xdb\x25\x97\x15\
      \\x20\x7d\x2f\xd9\x8b\x6e\x86\x7b\xff\x5e\xfb\xf0\x51\xef\xfc\x1a\
      \\x34\xae\xbd\x67\x17\x05\x34\xad\x5f\x1b\x9d\x36\x93\x15\xde\x10\
      \\xc1\x19\xad\x41\x5d\x06\x81\x98\x37\x62\x44\x04\xf8\x9a\x15\x15\
      \\x32\x60\x18\x92\xf4\x47\xa1\x7e\xc5\x7a\x55\x05\xb6\x01\x5b\x1a\
      \\x1f\x3c\x4f\xdb\xf8\xcc\x24\x6f\xbb\x6c\x55\xc3\x11\xe1\x78\x10\
      \\x27\x0b\x23\x12\x37\x00\xee\x4a\xea\xc7\x2a\x34\x56\x19\x97\x14\
      \\xf0\xcd\xab\xd6\x44\x80\xa9\xdd\xe4\x79\x35\xc1\xab\xdf\xbc\x19\
      \\xb6\x60\x2b\x06\x2b\xf0\x89\x0a\x2f\x6c\xc1\x58\xcb\x0b\x16\x10\
      \\xe4\x38\xb6\xc7\x35\x6c\x2c\xcd\x3a\xc7\xf1\x2e\xbe\x8e\x1b\x14\
      \\x1d\xc7\xa3\x39\x43\x87\x77\x80\x09\x39\xae\xba\x6d\x72\x22\x19\
      \\xe4\xb8\x0c\x08\x14\x69\x95\xe0\x4b\xc7\x59\x29\x09\x0f\x6b\x1f\
      \\x8e\xf3\x07\x85\xac\x61\x5d\x6c\x8f\x1c\xd8\xb9\x65\xe9\xa2\x13\
      \\x72\xf0\x49\xa6\x17\xba\x74\x47\xb3\x23\x4e\x28\xbf\xa3\x8b\x18\
      \\x8f\x6c\xdc\x8f\x9d\xe8\x51\x19\xa0\xac\x61\xf2\xae\x8c\xae\x1e\
      \\xd9\xc3\xe9\x79\x62\x31\xd3\x0f\xe4\x0b\x7d\x57\xed\x17\x2d\x13\
      \\xcf\x34\x64\x18\xbb\xfd\xc7\x13\xdd\x4e\x5c\xad\xe8\x5d\xf8\x17\
      \\x03\x42\x7d\xde\x29\xfd\xb9\x58\x94\x62\xb3\xd8\x62\x75\xf6\x1d\
      \\x42\x49\x0e\x2b\x3a\x3e\x74\xb7\x9c\x1d\x70\xc7\x5d\x09\xba\x12\
      \\x92\xdb\xd1\xb5\xc8\x4d\x51\xe5\x03\x25\x4c\x39\xb5\x8b\x68\x17\
      \\x77\x52\x46\xe3\x3a\xa1\xa5\xde\x44\x2e\x9f\x87\xa2\xae\x42\x1d\
      \\x8a\xf3\x0b\xce\xc4\x84\x27\x0b\xeb\x7c\xc3\x94\x25\xad\x49\x12\
      \\x6d\xf0\x8e\x01\xf6\x65\xf1\xcd\x25\x5c\xf4\xf9\x6e\x18\xdc\x16\
      \\x88\xac\xf2\x81\x73\xbf\x6d\x41\x2f\x73\x71\xb8\x8a\x1e\x93\x1c\
      \\xd5\xab\x37\x31\xa8\x97\xe4\x88\xfd\xe7\x46\xb3\x16\xf3\xdb\x11\
      \\xca\x96\x85\x3d\x92\xbd\x1d\xeb\xfc\xa1\x18\x60\xdc\xef\x52\x16\
      \\x7d\xfc\xe6\xcc\xf6\x2c\xe5\x25\x7c\xca\x1e\x78\xd3\xab\xe7\x1b\
      \\xce\x5d\x10\x40\x1a\x3c\xaf\x97\x8d\x3e\x13\x2b\x64\xcb\x70\x11\
      \\x42\x75\x14\xd0\x20\x0b\x9b\xfd\x30\x0e\xd8\x35\x3d\xfe\xcc\x15\
      \\x92\x92\x19\x04\xe9\xcd\x01\x3d\xbd\x11\x4e\x83\xcc\x3d\x40\x1b\
      \\x9b\xfb\x8f\xa2\xb1\x20\x21\x46\x16\xcb\x10\xd2\x9f\x26\x08\x11\
      \\x82\xfa\x33\x0b\xde\x68\xa9\xd7\xdb\xfd\x94\xc6\x47\x30\x4a\x15\
      \\x23\xf9\x00\x8e\x15\xc3\x93\xcd\x52\x3d\x3a\xb8\x59\xbc\x9c\x1a\
      \\xb6\x9b\xc0\x78\xed\x59\x7c\xc0\x53\x66\x24\x13\xb8\xf5\xa1\x10\
      \\xa3\xc2\xf0\xd6\x68\x70\x9b\xb0\xe8\x7f\xed\x17\x26\x73\xca\x14\
      \\x4c\xf3\xac\x0c\x83\x4c\xc2\xdc\xe2\xdf\xe8\x9d\xef\x0f\xfd\x19\
      \\x0f\x18\xec\xe7\xd1\x6f\xf9\xc9\xed\x8b\xb1\xc2\xf5\x29\x3e\x10\
      \\x13\x1e\xe7\x61\xc6\xcb\x77\x3c\xe9\xee\x5d\x33\x73\xb4\x4d\x14\
      \\x98\xe5\x60\xfa\xb7\xbe\x95\x8b\xa3\x6a\x35\x00\x90\x21\x61\x19\
      \\xfe\x1e\xf9\xf8\x65\x2e\x7b\x6e\x4c\xc5\x42\x00\xf4\x69\xb9\x1f\
      \\x5f\xb3\x9b\xbb\xff\xfc\x0c\xc5\x4f\xbb\x29\x80\x38\xe2\xd3\x13\
      \\x37\xa0\x82\xaa\x3f\x3c\x50\xb6\x23\x2a\x34\xa0\xc6\xda\xc8\x18\
      \\x44\x48\x23\x95\x4f\x4b\xe4\xa3\xac\x34\x41\x48\x78\x11\xfb\x1e\
      \\x2b\x0d\x36\xbd\x11\xaf\x6e\xe6\xeb\xc0\x28\x2d\xeb\xea\x5c\x13\
      \\x75\x90\x83\x2c\xd6\x5a\x0a\xe0\x26\xf1\x72\xf8\xa5\x25\x34\x18\
      \\x93\x74\xa4\xb7\x8b\xf1\x0c\x98\x70\xad\x8f\x76\x0f\x2f\x41\x1e\
      \\xdc\xc8\xc6\x52\xf7\x16\x08\x5f\x66\xcc\x19\xaa\x69\xbd\xe8\x12\
      \\x13\x7b\x78\x27\xb5\x1c\xca\xf6\x7f\x3f\xa0\x14\xc4\xec\xa2\x17\
      \\xd7\x99\x56\x71\xe2\xa3\x7c\xf4\x5f\x4f\xc8\x19\xf5\xa7\x8b\x1d\
      \\x26\x20\xd6\x86\x6d\xe6\xcd\xf8\x9b\x31\x1d\x30\xf9\x48\x77\x12\
      \\x30\xa8\x8b\xe8\x08\x60\x01\xf7\x02\x7e\x24\x7c\x37\x1b\x15\x17\
      \\x3c\x92\xae\x22\x0b\xb8\xc1\xb4\x83\x9d\x2d\x5b\x05\x62\xda\x1c\
      \\x65\x1b\xad\xf5\x06\x13\xf9\x50\x72\x82\xfc\x58\x43\x7d\x08\x12\
      \\x3f\x62\x18\xb3\xc8\x57\x37\xe5\x0e\xa3\x3b\x2f\x94\x9c\x8a\x16\
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      \\x2e\x2d\x07\x14\x7f\x0e\xcf\x2b\x8a\x4c\x7a\x77\x0a\xc7\x34\x1c\
      \\x3d\x7c\x84\x6c\x0f\x69\x61\x5b\xd6\x6f\xac\x8a\x66\xfc\xa0\x11\
      \\x4c\x9b\xa5\x47\x53\xc3\x39\xf2\xcb\x8b\x57\x2d\x80\x3b\x09\x16\
      \\x1f\x02\x8f\x19\x28\x34\xc8\xee\xbe\x6e\xad\x38\x60\x8a\x8b\x1b\
      \\x53\x61\xf9\x0f\x99\x20\x3d\x55\x37\x65\x6c\x23\x7c\x36\x37\x11\
      \\xa8\xb9\xf7\x53\xbf\x68\x8c\x2a\x85\x7e\x47\x2c\x1b\x04\x85\x15\
      \\x12\xa8\xf5\x28\xef\x82\x2f\x75\x26\x5e\x59\xf7\x21\x45\xe6\x1a\
      \\x0b\x89\x99\x79\xd5\xb1\x3d\x09\xd8\xda\x97\x3a\x35\xeb\xcf\x10\
      \\x4e\xeb\xff\xd7\x4a\x1e\x8d\x0b\x8e\xd1\x3d\x89\x02\xe6\x03\x15\
      \\x22\xe6\xff\x8d\xdd\x65\x70\x8e\xf1\x45\x8d\x2b\x83\xdf\x44\x1a\
      \\xd5\xef\xbf\x78\xaa\x3f\x06\xf9\xb6\x4b\x38\xfb\xb1\x0b\x6b\x10\
      \\xca\xeb\xef\x16\x95\xcf\x47\xb7\xa4\x5e\x06\x7a\x9e\xce\x85\x14\
      \\xbd\xe6\xab\x5c\x7a\xc3\x19\xe5\x4d\xf6\x87\x18\x46\x42\xa7\x19\
      \\x36\x70\xeb\x79\x2c\x1a\x30\xaf\xf0\xf9\x54\xcf\x6b\x89\x08\x10\
      \\x43\x4c\x66\x98\xb7\x20\xfc\xda\x6c\x38\x2a\xc3\xc6\xab\x0a\x14\
      \\x54\xdf\x7f\x7e\xe5\x28\xbb\x11\x88\xc6\xf4\x73\xb8\x56\x0d\x19\
      \\x2a\xd7\x1f\xde\x1e\xf3\x29\x16\x2a\xf8\xf1\x90\x66\xac\x50\x1f\
      \\x7a\xe6\xd3\x4a\xf3\x37\xda\x4d\x1a\x3b\x97\x1a\xc0\x6b\x92\x13\
      \\x19\xe0\x88\x1d\xf0\xc5\x50\xe1\xe0\x09\x3d\x21\xb0\x06\x77\x18\
      \\x1f\x18\xeb\x24\x6c\xf7\xa4\x19\x59\x4c\x8c\x29\x5c\xc8\x94\x1e\
      \\x13\xef\x12\x97\xa3\x1a\x07\xb0\xb7\xaf\xf7\x99\x39\xfd\x1c\x13\
      \\xd8\xaa\xd7\x7c\x4c\xe1\x08\x9c\xa5\x9b\x75\x00\x88\x3c\xe4\x17\
      \\x8e\x95\x0d\x9c\x9f\x19\x0b\x03\x8f\x02\x93\x00\xaa\x4b\xdd\x1d\
      \\x79\x7d\x88\xc1\x03\xf0\xe6\x61\x99\xe1\x5b\x40\x4a\x4f\xaa\x12\
      \\xd7\x9c\xea\xb1\x04\xac\x60\xba\xff\xd9\x72\xd0\x1c\xe3\x54\x17\
      \\x0d\x44\x65\xde\x05\xd7\xf8\xa8\x7f\x90\x8f\x04\xe4\x1b\x2a\x1d\
      \\x88\x4a\xff\xaa\x63\x86\x9b\xc9\x4f\xba\xd9\x82\x6e\x51\x3a\x12\
      \\x2a\x1d\xbf\x95\xfc\x67\x02\xbc\xe3\x28\x90\x23\xca\xe5\xc8\x16\
      \\x74\xe4\x2e\xbb\xfb\x01\x03\xab\x1c\x33\x74\xac\x3c\x1f\x7b\x1c\
      \\xc9\x4e\xfd\x54\x3d\xe1\xe1\xea\xf1\x9f\xc8\xeb\x85\xf3\xcc\x11\
      \\x7b\xa2\x3c\xaa\x8c\x59\x9a\x65\xee\xc7\xba\x66\x67\x30\x40\x16\
      \\x1a\xcb\xcb\xd4\xef\xef\x00\xff\xe9\x79\x69\x40\x81\x3c\xd0\x1b\
      \\xf0\x5e\xff\xe4\xf5\x95\x60\x3f\x32\xec\x41\xc8\xd0\x25\x62\x11\
      \\xac\x36\x3f\x5e\x73\xbb\x38\xcf\x3e\x67\x52\xfa\x44\xaf\xba\x15\
      \\x57\x04\xcf\x35\x50\xea\x06\x83\x0e\x01\xe7\x38\x16\x5b\x29\x1b\
      \\xb6\x62\xa1\x21\x72\x52\xe4\x11\xa9\x60\x90\xe3\xed\xd8\xf9\x10\
      \\x64\xbb\x09\xaa\x0e\x67\x5d\x56\xd3\x78\x74\x5c\x29\x4f\x38\x15\
      \\x3d\x2a\x8c\x54\xd2\xc0\xf4\x2b\x08\x97\x91\xb3\xf3\x62\x86\x1a\
      \\x66\x9a\xd7\x74\x83\xf8\x78\x1b\x65\xfe\x3a\x50\xd8\xfd\x93\x10\
      \\x00\x81\x0d\x52\xa4\x36\x57\x62\xfe\xbd\x49\x64\x4e\xfd\xb8\x14\
      \\x40\xe1\x90\x66\x4d\x04\xed\xfa\x7d\x2d\x5c\xfd\xa1\x3c\xe7\x19\
      \\xc8\x8c\x1a\x60\xb0\x22\xd4\xbc\x6e\x9c\x59\x3e\xe5\x85\x30\x10\
      \\xfa\x2f\x21\x78\x5c\x2b\x09\x6c\x8a\x03\xf0\x8d\x5e\xa7\x3c\x14\
      \\xf8\x7b\x29\x96\x33\x76\x0b\x07\x6d\x04\x6c\x31\x36\xd1\x4b\x19\
      \\xf6\xda\xb3\x7b\xc0\x53\xce\x48\x88\x05\xc7\xbd\x83\xc5\x9e\x1f\
      \\xda\x68\x50\x4d\x58\xf4\x80\x2d\x75\x63\x9c\x56\x72\x3b\xc3\x13\
      \\x10\x83\xa4\x60\x6e\x31\xe1\x78\x52\x7c\x43\xec\x4e\x0a\xb4\x18"#

    -- | Number of mantissa bits of a 64-bit float. The number of significant bits
    -- (floatDigits (undefined :: Double)) is 53 since we have a leading 1 for
    -- normal floats and 0 for subnormal floats
    double_mantissa_bits :: Int
    double_mantissa_bits :: Int
    double_mantissa_bits = Int
    52

    -- | Number of exponent bits of a 64-bit float
    double_exponent_bits :: Int
    double_exponent_bits :: Int
    double_exponent_bits = Int
    11

    -- | Bias in encoded 64-bit float representation (2^10 - 1)
    double_bias :: Int
    double_bias :: Int
    double_bias = Int
    1023

    data FloatingDecimal = FloatingDecimal
      { FloatingDecimal -> Word64
    dmantissa :: !Word64
      , FloatingDecimal -> Int32
    dexponent :: !Int32
      } deriving (Int -> FloatingDecimal -> ShowS
    [FloatingDecimal] -> ShowS
    FloatingDecimal -> String
    (Int -> FloatingDecimal -> ShowS)
    -> (FloatingDecimal -> String)
    -> ([FloatingDecimal] -> ShowS)
    -> Show FloatingDecimal
    forall a.
    (Int -> a -> ShowS) -> (a -> String) -> ([a] -> ShowS) -> Show a
    $cshowsPrec :: Int -> FloatingDecimal -> ShowS
    showsPrec :: Int -> FloatingDecimal -> ShowS
    $cshow :: FloatingDecimal -> String
    show :: FloatingDecimal -> String
    $cshowList :: [FloatingDecimal] -> ShowS
    showList :: [FloatingDecimal] -> ShowS
    Show, FloatingDecimal -> FloatingDecimal -> Bool
    (FloatingDecimal -> FloatingDecimal -> Bool)
    -> (FloatingDecimal -> FloatingDecimal -> Bool)
    -> Eq FloatingDecimal
    forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
    $c== :: FloatingDecimal -> FloatingDecimal -> Bool
    == :: FloatingDecimal -> FloatingDecimal -> Bool
    $c/= :: FloatingDecimal -> FloatingDecimal -> Bool
    /= :: FloatingDecimal -> FloatingDecimal -> Bool
    Eq)

    -- | Quick check for small integers
    d2dSmallInt :: Word64 -> Word64 -> Maybe FloatingDecimal
    d2dSmallInt :: Word64 -> Word64 -> Maybe FloatingDecimal
    d2dSmallInt Word64
    m Word64
    e =
      let m2 :: Word64
    m2 = (Word64
    1 Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftL` Int
    double_mantissa_bits) Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .|. Word64
    m
          e2 :: Int
    e2 = Word64 -> Int
    word64ToInt Word64
    e Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - (Int
    double_bias Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    double_mantissa_bits)
          fraction :: Word64
    fraction = Word64
    m2 Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .&. Int -> Word64
    forall a. (Bits a, Integral a) => Int -> a
    mask (-Int
    e2)
       in case () of
            ()
    _ -- f = m2 * 2^e2 >= 2^53 is an integer.
              -- Ignore this case for now.
              | Int
    e2 Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    > Int
    0 -> Maybe FloatingDecimal
    forall a. Maybe a
    Nothing
              -- f < 1
              | Int
    e2 Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    < -Int
    52 -> Maybe FloatingDecimal
    forall a. Maybe a
    Nothing
              -- Since 2^52 <= m2 < 2^53 and 0 <= -e2 <= 52:
              --    1 <= f = m2 / 2^-e2 < 2^53.
              -- Test if the lower -e2 bits of the significand are 0, i.e.
              -- whether the fraction is 0.
              | Word64
    fraction Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    /= Word64
    0 -> Maybe FloatingDecimal
    forall a. Maybe a
    Nothing
              -- f is an integer in the range [1, 2^53).
              -- Note: mantissa might contain trailing (decimal) 0's.
              -- Note: since 2^53 < 10^16, there is no need to adjust decimalLength17().
              | Bool
    otherwise -> FloatingDecimal -> Maybe FloatingDecimal
    forall a. a -> Maybe a
    Just (FloatingDecimal -> Maybe FloatingDecimal)
    -> FloatingDecimal -> Maybe FloatingDecimal
    forall a b. (a -> b) -> a -> b
    $ Word64 -> Int32 -> FloatingDecimal
    FloatingDecimal (Word64
    m2 Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftR` (-Int
    e2)) Int32
    0

    -- | Removes trailing (decimal) zeros for small integers in the range [1, 2^53)
    unifySmallTrailing :: FloatingDecimal -> FloatingDecimal
    unifySmallTrailing :: FloatingDecimal -> FloatingDecimal
    unifySmallTrailing fd :: FloatingDecimal
    fd@(FloatingDecimal Word64
    m Int32
    e) =
      let !(Word64
    q, Word64
    r) = Word64 -> (Word64, Word64)
    dquotRem10 Word64
    m
       in if Word64
    r Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0
            then FloatingDecimal -> FloatingDecimal
    unifySmallTrailing (FloatingDecimal -> FloatingDecimal)
    -> FloatingDecimal -> FloatingDecimal
    forall a b. (a -> b) -> a -> b
    $ Word64 -> Int32 -> FloatingDecimal
    FloatingDecimal Word64
    q (Int32
    e Int32 -> Int32 -> Int32
    forall a. Num a => a -> a -> a
    + Int32
    1)
            else FloatingDecimal
    fd

    -- TODO: 128-bit intrinsics
    -- | Multiply a 64-bit number with a 128-bit number while keeping the upper 64
    -- bits. Then shift by specified amount minus 64
    mulShift64 :: Word64 -> (Word64, Word64) -> Int -> Word64
    mulShift64 :: Word64 -> (Word64, Word64) -> Int -> Word64
    mulShift64 Word64
    m (Word64
    factorHi, Word64
    factorLo) Int
    shift =
      let !(Word64
    b0Hi, Word64
    _   ) = Word64
    m Word64 -> Word64 -> (Word64, Word64)
    `timesWord2` Word64
    factorLo
          !(Word64
    b1Hi, Word64
    b1Lo) = Word64
    m Word64 -> Word64 -> (Word64, Word64)
    `timesWord2` Word64
    factorHi
          total :: Word64
    total = Word64
    b0Hi Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    + Word64
    b1Lo
          high :: Word64
    high  = Word64
    b1Hi Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    + Bool -> Word64
    boolToWord64 (Word64
    total Word64 -> Word64 -> Bool
    forall a. Ord a => a -> a -> Bool
    < Word64
    b0Hi)
          dist :: Int
    dist  = Int
    shift Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    64
       in (Word64
    high Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftL` (Int
    64 Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    dist)) Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .|. (Word64
    total Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftR` Int
    dist)

    -- | Index into the 128-bit word lookup table double_pow5_inv_split
    get_double_pow5_inv_split :: Int -> (Word64, Word64)
    get_double_pow5_inv_split :: Int -> (Word64, Word64)
    get_double_pow5_inv_split =
      let !(Addr Addr#
    arr) = Addr
    double_pow5_inv_split
       in Addr# -> Int -> (Word64, Word64)
    getWord128At Addr#
    arr

    -- | Index into the 128-bit word lookup table double_pow5_split
    get_double_pow5_split :: Int -> (Word64, Word64)
    get_double_pow5_split :: Int -> (Word64, Word64)
    get_double_pow5_split =
      let !(Addr Addr#
    arr) = Addr
    double_pow5_split
       in Addr# -> Int -> (Word64, Word64)
    getWord128At Addr#
    arr

    -- | Take the high bits of m * 5^-e2-q / 2^k / 2^q-k
    mulPow5DivPow2 :: Word64 -> Int -> Int -> Word64
    mulPow5DivPow2 :: Word64 -> Int -> Int -> Word64
    mulPow5DivPow2 Word64
    m Int
    i Int
    j = Word64 -> (Word64, Word64) -> Int -> Word64
    mulShift64 Word64
    m (Int -> (Word64, Word64)
    get_double_pow5_split Int
    i) Int
    j

    -- | Take the high bits of m * 2^k / 5^q / 2^-e2+q+k
    mulPow5InvDivPow2 :: Word64 -> Int -> Int -> Word64
    mulPow5InvDivPow2 :: Word64 -> Int -> Int -> Word64
    mulPow5InvDivPow2 Word64
    m Int
    q Int
    j = Word64 -> (Word64, Word64) -> Int -> Word64
    mulShift64 Word64
    m (Int -> (Word64, Word64)
    get_double_pow5_inv_split Int
    q) Int
    j

    -- | Handle case e2 >= 0
    d2dGT :: Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dGT :: Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dGT Int32
    e2' Word64
    u Word64
    v Word64
    w =
      let e2 :: Int
    e2 = Int32 -> Int
    int32ToInt Int32
    e2'
          q :: Int
    q = Int -> Int
    log10pow2 Int
    e2 Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Bool -> Int
    forall a. Enum a => a -> Int
    fromEnum (Int
    e2 Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    > Int
    3)
          -- k = B0 + log_2(5^q)
          k :: Int
    k = Int
    double_pow5_inv_bitcount Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int -> Int
    pow5bits Int
    q Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    1
          i :: Int
    i = -Int
    e2 Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    q Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    k
          -- (u, v, w) * 2^k / 5^q / 2^-e2+q+k
          u' :: Word64
    u' = Word64 -> Int -> Int -> Word64
    mulPow5InvDivPow2 Word64
    u Int
    q Int
    i
          v' :: Word64
    v' = Word64 -> Int -> Int -> Word64
    mulPow5InvDivPow2 Word64
    v Int
    q Int
    i
          w' :: Word64
    w' = Word64 -> Int -> Int -> Word64
    mulPow5InvDivPow2 Word64
    w Int
    q Int
    i
          !(Bool
    vvTrailing, Bool
    vuTrailing, Word64
    vw') =
            case () of
              ()
    _ | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Int
    21 Bool -> Bool -> Bool
    && (Word64 -> Word64
    drem5 Word64
    v Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0)
                    -> (Word64 -> Int -> Bool
    forall a. Mantissa a => a -> Int -> Bool
    multipleOfPowerOf5 Word64
    v Int
    q, Bool
    False, Word64
    w')
                | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Int
    21 Bool -> Bool -> Bool
    && Word64 -> Bool
    forall a. Mantissa a => a -> Bool
    acceptBounds Word64
    v
                    -> (Bool
    False, Word64 -> Int -> Bool
    forall a. Mantissa a => a -> Int -> Bool
    multipleOfPowerOf5 Word64
    u Int
    q, Word64
    w')
                | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Int
    21
                    -> (Bool
    False, Bool
    False, Word64
    w' Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    - Bool -> Word64
    boolToWord64 (Word64 -> Int -> Bool
    forall a. Mantissa a => a -> Int -> Bool
    multipleOfPowerOf5 Word64
    w Int
    q))
                | Bool
    otherwise
                    -> (Bool
    False, Bool
    False, Word64
    w')
       in (Word64
    -> Word64 -> Word64 -> Word64 -> Bool -> Bool -> BoundsState Word64
    forall a. a -> a -> a -> a -> Bool -> Bool -> BoundsState a
    BoundsState Word64
    u' Word64
    v' Word64
    vw' Word64
    0 Bool
    vuTrailing Bool
    vvTrailing, Int -> Int32
    intToInt32 Int
    q)

    -- | Handle case e2 < 0
    d2dLT :: Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dLT :: Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dLT Int32
    e2' Word64
    u Word64
    v Word64
    w =
      let e2 :: Int
    e2 = Int32 -> Int
    int32ToInt Int32
    e2'
          q :: Int
    q = Int -> Int
    log10pow5 (-Int
    e2) Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Bool -> Int
    forall a. Enum a => a -> Int
    fromEnum (-Int
    e2 Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    > Int
    1)
          e10 :: Int
    e10 = Int
    q Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    e2
          i :: Int
    i = -Int
    e2 Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    q
          -- k = log_2(5^-e2-q) - B1
          k :: Int
    k = Int -> Int
    pow5bits Int
    i Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    double_pow5_bitcount
          j :: Int
    j = Int
    q Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    k
          -- (u, v, w) * 5^-e2-q / 2^k / 2^q-k
          u' :: Word64
    u' = Word64 -> Int -> Int -> Word64
    mulPow5DivPow2 Word64
    u Int
    i Int
    j
          v' :: Word64
    v' = Word64 -> Int -> Int -> Word64
    mulPow5DivPow2 Word64
    v Int
    i Int
    j
          w' :: Word64
    w' = Word64 -> Int -> Int -> Word64
    mulPow5DivPow2 Word64
    w Int
    i Int
    j
          !(Bool
    vvTrailing, Bool
    vuTrailing, Word64
    vw') =
            case () of
              ()
    _ | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Int
    1 Bool -> Bool -> Bool
    && Word64 -> Bool
    forall a. Mantissa a => a -> Bool
    acceptBounds Word64
    v
                    -> (Bool
    True, Word64
    v Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    - Word64
    u Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    2, Word64
    w') -- mmShift == 1
                | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Int
    1
                    -> (Bool
    True, Bool
    False, Word64
    w' Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    - Word64
    1)
                | Int
    q Int -> Int -> Bool
    forall a. Ord a => a -> a -> Bool
    < Int
    63
                    -> (Word64 -> Int -> Bool
    forall a. Mantissa a => a -> Int -> Bool
    multipleOfPowerOf2 Word64
    v (Int
    q Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - Int
    1), Bool
    False, Word64
    w')
                | Bool
    otherwise
                    -> (Bool
    False, Bool
    False, Word64
    w')
       in (Word64
    -> Word64 -> Word64 -> Word64 -> Bool -> Bool -> BoundsState Word64
    forall a. a -> a -> a -> a -> Bool -> Bool -> BoundsState a
    BoundsState Word64
    u' Word64
    v' Word64
    vw' Word64
    0 Bool
    vuTrailing Bool
    vvTrailing, Int -> Int32
    intToInt32 Int
    e10)

    -- | Returns the decimal representation of the given mantissa and exponent of a
    -- 64-bit Double using the ryu algorithm.
    d2d :: Word64 -> Word64 -> FloatingDecimal
    d2d :: Word64 -> Word64 -> FloatingDecimal
    d2d Word64
    m Word64
    e =
      let !mf :: Word64
    mf = if Word64
    e Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0
                  then Word64
    m
                  else (Word64
    1 Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftL` Int
    double_mantissa_bits) Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .|. Word64
    m
          !ef :: Int32
    ef = Int -> Int32
    intToInt32 (Int -> Int32) -> Int -> Int32
    forall a b. (a -> b) -> a -> b
    $ if Word64
    e Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0
                  then Int
    1 Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - (Int
    double_bias Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    double_mantissa_bits)
                  else Word64 -> Int
    word64ToInt Word64
    e Int -> Int -> Int
    forall a. Num a => a -> a -> a
    - (Int
    double_bias Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    double_mantissa_bits)
          !e2 :: Int32
    e2 = Int32
    ef Int32 -> Int32 -> Int32
    forall a. Num a => a -> a -> a
    - Int32
    2
          -- Step 2. 3-tuple (u, v, w) * 2**e2
          !u :: Word64
    u = Word64
    4 Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    * Word64
    mf Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    - Word64
    1 Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    - Bool -> Word64
    boolToWord64 (Word64
    m Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    /= Word64
    0 Bool -> Bool -> Bool
    || Word64
    e Word64 -> Word64 -> Bool
    forall a. Ord a => a -> a -> Bool
    <= Word64
    1)
          !v :: Word64
    v = Word64
    4 Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    * Word64
    mf
          !w :: Word64
    w = Word64
    4 Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    * Word64
    mf Word64 -> Word64 -> Word64
    forall a. Num a => a -> a -> a
    + Word64
    2
          -- Step 3. convert to decimal power base
          !(BoundsState Word64
    state, Int32
    e10) =
            if Int32
    e2 Int32 -> Int32 -> Bool
    forall a. Ord a => a -> a -> Bool
    >= Int32
    0
               then Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dGT Int32
    e2 Word64
    u Word64
    v Word64
    w
               else Int32 -> Word64 -> Word64 -> Word64 -> (BoundsState Word64, Int32)
    d2dLT Int32
    e2 Word64
    u Word64
    v Word64
    w
          -- Step 4: Find the shortest decimal representation in the interval of
          -- valid representations.
          !(Word64
    output, Int32
    removed) =
            let rounded :: BoundsState Word64 -> Word64
    rounded = Bool -> BoundsState Word64 -> Word64
    forall a. Mantissa a => Bool -> BoundsState a -> a
    closestCorrectlyRounded (Word64 -> Bool
    forall a. Mantissa a => a -> Bool
    acceptBounds Word64
    v)
             in (BoundsState Word64 -> Word64)
    -> (BoundsState Word64, Int32) -> (Word64, Int32)
    forall b c d. (b -> c) -> (b, d) -> (c, d)
    forall (a :: * -> * -> *) b c d.
    Arrow a =>
    a b c -> a (b, d) (c, d)
    first BoundsState Word64 -> Word64
    rounded ((BoundsState Word64, Int32) -> (Word64, Int32))
    -> (BoundsState Word64, Int32) -> (Word64, Int32)
    forall a b. (a -> b) -> a -> b
    $ if BoundsState Word64 -> Bool
    forall a. BoundsState a -> Bool
    vvIsTrailingZeros BoundsState Word64
    state Bool -> Bool -> Bool
    || BoundsState Word64 -> Bool
    forall a. BoundsState a -> Bool
    vuIsTrailingZeros BoundsState Word64
    state
               then BoundsState Word64 -> (BoundsState Word64, Int32)
    forall a.
    (Show a, Mantissa a) =>
    BoundsState a -> (BoundsState a, Int32)
    trimTrailing BoundsState Word64
    state
               else BoundsState Word64 -> (BoundsState Word64, Int32)
    forall a. Mantissa a => BoundsState a -> (BoundsState a, Int32)
    trimNoTrailing BoundsState Word64
    state
          !e' :: Int32
    e' = Int32
    e10 Int32 -> Int32 -> Int32
    forall a. Num a => a -> a -> a
    + Int32
    removed
       in Word64 -> Int32 -> FloatingDecimal
    FloatingDecimal Word64
    output Int32
    e'

    -- | Split a Double into (sign, mantissa, exponent)
    breakdown :: Double -> (Bool, Word64, Word64)
    breakdown :: Double -> (Bool, Word64, Word64)
    breakdown Double
    f =
      let bits :: Word64
    bits = Double -> Word64
    castDoubleToWord64 Double
    f
          sign :: Bool
    sign = ((Word64
    bits Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftR` (Int
    double_mantissa_bits Int -> Int -> Int
    forall a. Num a => a -> a -> a
    + Int
    double_exponent_bits)) Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .&. Word64
    1) Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    /= Word64
    0
          mantissa :: Word64
    mantissa = Word64
    bits Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .&. Int -> Word64
    forall a. (Bits a, Integral a) => Int -> a
    mask Int
    double_mantissa_bits
          expo :: Word64
    expo = (Word64
    bits Word64 -> Int -> Word64
    forall a. Bits a => a -> Int -> a
    `unsafeShiftR` Int
    double_mantissa_bits) Word64 -> Word64 -> Word64
    forall a. Bits a => a -> a -> a
    .&. Int -> Word64
    forall a. (Bits a, Integral a) => Int -> a
    mask Int
    double_exponent_bits
       in (Bool
    sign, Word64
    mantissa, Word64
    expo)

    -- | Dispatches to `d2d` or `d2dSmallInt` and applies the given formatters
    {-# INLINE d2s' #-}
    d2s' :: (Bool -> Word64 -> Int32 -> a) -> (NonNumbersAndZero -> a) -> Double -> a
    d2s' :: forall a.
    (Bool -> Word64 -> Int32 -> a)
    -> (NonNumbersAndZero -> a) -> Double -> a
    d2s' Bool -> Word64 -> Int32 -> a
    formatter NonNumbersAndZero -> a
    specialFormatter Double
    d =
      let (Bool
    sign, Word64
    mantissa, Word64
    expo) = Double -> (Bool, Word64, Word64)
    breakdown Double
    d
       in if (Word64
    expo Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Int -> Word64
    forall a. (Bits a, Integral a) => Int -> a
    mask Int
    double_exponent_bits) Bool -> Bool -> Bool
    || (Word64
    expo Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0 Bool -> Bool -> Bool
    && Word64
    mantissa Word64 -> Word64 -> Bool
    forall a. Eq a => a -> a -> Bool
    == Word64
    0)
             then NonNumbersAndZero -> a
    specialFormatter NonNumbersAndZero
                      { negative :: Bool
    negative=Bool
    sign
                      , exponent_all_one :: Bool
    exponent_all_one=Word64
    expo Word64 -> Word64 -> Bool
    forall a. Ord a => a -> a -> Bool
    > Word64
    0
                      , mantissa_non_zero :: Bool
    mantissa_non_zero=Word64
    mantissa Word64 -> Word64 -> Bool
    forall a. Ord a => a -> a -> Bool
    > Word64
    0 }
             else let v :: Maybe FloatingDecimal
    v = FloatingDecimal -> FloatingDecimal
    unifySmallTrailing (FloatingDecimal -> FloatingDecimal)
    -> Maybe FloatingDecimal -> Maybe FloatingDecimal
    forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
    <$> Word64 -> Word64 -> Maybe FloatingDecimal
    d2dSmallInt Word64
    mantissa Word64
    expo
                      FloatingDecimal Word64
    m Int32
    e = FloatingDecimal -> Maybe FloatingDecimal -> FloatingDecimal
    forall a. a -> Maybe a -> a
    fromMaybe (Word64 -> Word64 -> FloatingDecimal
    d2d Word64
    mantissa Word64
    expo) Maybe FloatingDecimal
    v
                   in Bool -> Word64 -> Int32 -> a
    formatter Bool
    sign Word64
    m Int32
    e

    -- | Render a Double in scientific notation
    d2s :: Double -> Builder
    d2s :: Double -> Builder
    d2s Double
    d = BoundedPrim () -> () -> Builder
    forall a. BoundedPrim a -> a -> Builder
    primBounded ((Bool -> Word64 -> Int32 -> BoundedPrim ())
    -> (NonNumbersAndZero -> BoundedPrim ())
    -> Double
    -> BoundedPrim ()
    forall a.
    (Bool -> Word64 -> Int32 -> a)
    -> (NonNumbersAndZero -> a) -> Double -> a
    d2s' Bool -> Word64 -> Int32 -> BoundedPrim ()
    forall a. Mantissa a => Bool -> a -> Int32 -> BoundedPrim ()
    toCharsScientific NonNumbersAndZero -> BoundedPrim ()
    toCharsNonNumbersAndZero Double
    d) ()

    -- | Returns the decimal representation of a Double. NaN and Infinity will
    -- return `FloatingDecimal 0 0`
    d2Intermediate :: Double -> FloatingDecimal
    d2Intermediate :: Double -> FloatingDecimal
    d2Intermediate = (Bool -> Word64 -> Int32 -> FloatingDecimal)
    -> (NonNumbersAndZero -> FloatingDecimal)
    -> Double
    -> FloatingDecimal
    forall a.
    (Bool -> Word64 -> Int32 -> a)
    -> (NonNumbersAndZero -> a) -> Double -> a
    d2s' ((Word64 -> Int32 -> FloatingDecimal)
    -> Bool -> Word64 -> Int32 -> FloatingDecimal
    forall a b. a -> b -> a
    const Word64 -> Int32 -> FloatingDecimal
    FloatingDecimal) (FloatingDecimal -> NonNumbersAndZero -> FloatingDecimal
    forall a b. a -> b -> a
    const (FloatingDecimal -> NonNumbersAndZero -> FloatingDecimal)
    -> FloatingDecimal -> NonNumbersAndZero -> FloatingDecimal
    forall a b. (a -> b) -> a -> b
    $ Word64 -> Int32 -> FloatingDecimal
    FloatingDecimal Word64
    0 Int32
    0)