common.h

#ifndef FFC_COMMON_H
#define FFC_COMMON_H

#include "api.h"
#include <float.h> // for NAN, FLT_MIN
#include <stdlib.h>
#include <string.h> // for memcpy
#include <stdbool.h>

#ifndef ffc_internal
#define ffc_internal static
#endif

#if defined(_MSC_VER)
  #define ffc_inline __forceinline
#elif defined(__GNUC__) || defined(__clang__)
  #define ffc_inline __attribute__((always_inline)) inline
#else
  #define ffc_inline inline
#endif

#if FFC_DEBUG
#include <stdio.h>
#define ffc_debug(...) do { fprintf(stderr, __VA_ARGS__); } while(0)
#else
#define ffc_debug(...) do { } while(0)
#endif


ffc_internal ffc_inline
uint64_t ffc_get_double_bits(double d) {
  uint64_t bits;
  memcpy(&bits, &d, sizeof(double));
  return bits;
}

ffc_internal ffc_inline
uint32_t ffc_get_float_bits(float d) {
  uint32_t bits;
  memcpy(&bits, &d, sizeof(float));
  return bits;
}

typedef union ffc_value {
  double d;
  float f;
} ffc_value;

typedef union ffc_value_bits {
  uint64_t di;
  uint32_t fi;
} ffc_value_bits;

typedef uint8_t ffc_value_kind;
enum ffc_value_kind_bits {
  FFC_VALUE_KIND_FLOAT = 0,
  FFC_VALUE_KIND_DOUBLE = 1,
};

typedef union ffc_int_value {
  int64_t  s64;
  int32_t  s32;
  uint64_t u64;
  uint32_t u32;
} ffc_int_value;

typedef uint8_t ffc_int_kind;
enum ffc_int_kind_bits {
  FFC_INT_KIND_S64 = 0,
  FFC_INT_KIND_S32 = 1,
  FFC_INT_KIND_U64 = 2,
  FFC_INT_KIND_U32 = 3,
};

ffc_internal ffc_inline
bool ffc_int_kind_is_signed(ffc_int_kind ik) {
  return ik == FFC_INT_KIND_S64 || ik == FFC_INT_KIND_S32;
}


ffc_internal ffc_inline
ffc_value_bits ffc_get_value_bits(ffc_value value, ffc_value_kind vk) {
  ffc_value_bits bits;
  if (vk == FFC_VALUE_KIND_DOUBLE) {
    bits.di = ffc_get_double_bits(value.d);
  } else {
    bits.fi = ffc_get_float_bits(value.f);
  }
  return bits;
}

ffc_internal ffc_inline
uint64_t ffc_int_value_max(ffc_int_kind ik) {
  switch (ik) {
  case FFC_INT_KIND_S64: return INT64_MAX;
  case FFC_INT_KIND_S32: return INT32_MAX;
  case FFC_INT_KIND_U64: return UINT64_MAX;
  case FFC_INT_KIND_U32: return UINT32_MAX;
  default: return 0; // should never happen
  }
}

#define ffc_set_value(ptr, value_kind, value) \
    (((value_kind) == FFC_VALUE_KIND_DOUBLE) ? ((ptr)->d = (double)(value)) : ((ptr)->f = (float)(value)))

#define ffc_read_value(ptr, value_kind) \
    (((value_kind) == FFC_VALUE_KIND_DOUBLE) ? (ptr)->d : (ptr)->f)

typedef struct ffc_adjusted_mantissa {
  uint64_t mantissa;
  int32_t power2; // a negative value indicates an invalid result
} ffc_adjusted_mantissa;

ffc_internal ffc_inline size_t ffc_get_value_size(ffc_value_kind vk) {
  if (vk == FFC_VALUE_KIND_DOUBLE) {
    return sizeof(double);
  } else {
    return sizeof(float);
  }
}

// Bias so we can get the real exponent with an invalid adjusted_mantissa.
#define FFC_INVALID_AM_BIAS ((int32_t)-0x8000)

/********************* context crack: word size *********************/

#if (defined(__x86_64) || defined(__x86_64__) || defined(_M_X64) ||            \
     defined(__amd64) || defined(__aarch64__) || defined(_M_ARM64) ||          \
     defined(__MINGW64__) || defined(__s390x__) ||                             \
     (defined(__ppc64__) || defined(__PPC64__) || defined(__ppc64le__) ||      \
      defined(__PPC64LE__)) ||                                                 \
     defined(__loongarch64) || (defined(__riscv) && __riscv_xlen == 64))
#define FFC_64BIT 1
#elif (defined(__i386) || defined(__i386__) || defined(_M_IX86) ||             \
       defined(__arm__) || defined(_M_ARM) || defined(__ppc__) ||              \
       defined(__MINGW32__) || defined(__EMSCRIPTEN__) ||                      \
       (defined(__riscv) && __riscv_xlen == 32))
#define FFC_32BIT 1
#else
// Need to check incrementally, since SIZE_MAX is a size_t, avoid overflow.
// We can never tell the register width, but the SIZE_MAX is a good
// approximation. UINTPTR_MAX and INTPTR_MAX are optional, so avoid them for max
// portability.
#if SIZE_MAX == 0xffff
#error Unknown platform (16-bit, unsupported)
#elif SIZE_MAX == 0xffffffff
#define FFC_32BIT 1
#elif SIZE_MAX == 0xffffffffffffffff
#define FFC_64BIT 1
#else
#error Unknown platform (not 32-bit, not 64-bit?)
#endif
#endif

/********************* context crack: intrinsics *********************/
#if ((defined(_WIN32) || defined(_WIN64)) && !defined(__clang__)) ||           \
    (defined(_M_ARM64) && !defined(__MINGW32__))
#include <intrin.h>
#endif

#if defined(_MSC_VER) && !defined(__clang__)
#define FFC_VISUAL_STUDIO 1
#endif

/********************* context crack: byte order / endianness *********************/
#if defined __BYTE_ORDER__ && defined __ORDER_BIG_ENDIAN__
#define FFC_IS_BIG_ENDIAN (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__)
#elif defined _WIN32
#define FFC_IS_BIG_ENDIAN 0
#else
#if defined(__APPLE__) || defined(__FreeBSD__)
#include <machine/endian.h>
#elif defined(sun) || defined(__sun)
#include <sys/byteorder.h>
#elif defined(__MVS__)
#include <sys/endian.h>
#else
#ifdef __has_include
#if __has_include(<endian.h>)
#include <endian.h>
#endif //__has_include(<endian.h>)
#endif //__has_include
#endif
#
#ifndef __BYTE_ORDER__
// safe choice
#define FFC_IS_BIG_ENDIAN 0
#endif
#
#ifndef __ORDER_LITTLE_ENDIAN__
// safe choice
#define FFC_IS_BIG_ENDIAN 0
#endif
#
#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__
#define FFC_IS_BIG_ENDIAN 0
#else
#define FFC_IS_BIG_ENDIAN 1
#endif
#endif

/********************* context crack: simd *********************/
#if defined(__SSE2__) || (defined(FFC_VISUAL_STUDIO) &&                  \
                          (defined(_M_AMD64) || defined(_M_X64) ||             \
                           (defined(_M_IX86_FP) && _M_IX86_FP == 2)))
#define FFC_SSE2 1
#endif

#if defined(__aarch64__) || defined(_M_ARM64)
#define FFC_NEON 1
#endif

#if defined(FFC_SSE2) || defined(FFC_NEON)
#define FFC_HAS_SIMD 1
#endif


#ifdef FFC_SSE2
#include <emmintrin.h>
#endif

#ifdef FFC_NEON
#include <arm_neon.h>
#endif


#if defined(__GNUC__)
// disable -Wcast-align=strict (GCC only)
#define FFC_SIMD_DISABLE_WARNINGS                                        \
  _Pragma("GCC diagnostic push")                                               \
      _Pragma("GCC diagnostic ignored \"-Wcast-align\"")
#else
#define FFC_SIMD_DISABLE_WARNINGS
#endif

#if defined(__GNUC__)
#define FFC_SIMD_RESTORE_WARNINGS _Pragma("GCC diagnostic pop")
#else
#define FFC_SIMD_RESTORE_WARNINGS
#endif

ffc_internal ffc_inline
uint32_t ffc_count_leading_zeroes(uint64_t x) {
#if defined(__GNUC__) || defined(__clang__)
  return x ? (uint32_t)__builtin_clzll(x) : 64u;
#else
  if (x == 0) return 64u;
  uint32_t n = 0;
  if ((x >> 32) == 0) { n |= 32; x <<= 32; }
  if ((x >> 48) == 0) { n |= 16; x <<= 16; }
  if ((x >> 56) == 0) { n |=  8; x <<=  8; }
  if ((x >> 60) == 0) { n |=  4; x <<=  4; }
  if ((x >> 62) == 0) { n |=  2; x <<=  2; }
  if ((x >> 63) == 0) { n |=  1; }
  return n;
#endif
}

typedef struct ffc_u128 { uint64_t low; uint64_t high; } ffc_u128;
ffc_internal ffc_inline
ffc_u128 ffc_mul_u64(uint64_t a, uint64_t b) {
#if defined(__SIZEOF_INT128__)
  __uint128_t z = ((__uint128_t)a) * ((__uint128_t)b);
  ffc_u128 output;
  output.low = (uint64_t)z;
  output.high = (uint64_t)(z >> 64);
  return output;
#else
  uint64_t a0 = a & 0xFFFFFFFF;
  uint64_t a1 = a >> 32;
  uint64_t b0 = b & 0xFFFFFFFF;
  uint64_t b1 = b >> 32;

  uint64_t w0 = a0 * b0;
  uint64_t t  = (a1 * b0) + (w0 >> 32);
  uint64_t w1 = t & 0xFFFFFFFF;
  uint64_t w2 = t >> 32;
  w1 += a0 * b1;

  ffc_u128 output;
  output.low = a * b;
  output.high = (a1 * b1) + w2 + (w1 >> 32);
  return output;
#endif
}

// slow emulation routine for 32-bit
ffc_internal ffc_inline uint64_t ffc_emulu(uint32_t x, uint32_t y) {
  return x * (uint64_t)y;
}

ffc_internal ffc_inline
uint64_t ffc_umul128_generic(uint64_t ab, uint64_t cd, uint64_t *hi) {
  uint64_t ad = ffc_emulu((uint32_t)(ab >> 32), (uint32_t)cd);
  uint64_t bd = ffc_emulu((uint32_t)ab, (uint32_t)cd);
  uint64_t adbc = ad + ffc_emulu((uint32_t)ab, (uint32_t)(cd >> 32));
  uint64_t adbc_carry = (uint64_t)(adbc < ad);
  uint64_t lo = bd + (adbc << 32);
  *hi = ffc_emulu((uint32_t)(ab >> 32), (uint32_t)(cd >> 32)) + (adbc >> 32) +
        (adbc_carry << 32) + (uint64_t)(lo < bd);
  return lo;
}

// compute 64-bit a*b
ffc_internal ffc_inline
ffc_u128 ffc_full_multiplication(uint64_t a, uint64_t b) {
  ffc_u128 answer;
#if defined(_M_ARM64) && !defined(__MINGW32__)
  // ARM64 has native support for 64-bit multiplications, no need to emulate
  // But MinGW on ARM64 doesn't have native support for 64-bit multiplications
  answer.high = __umulh(a, b);
  answer.low = a * b;
#elif (defined(_WIN64) && !defined(__clang__) &&   \
                                   !defined(_M_ARM64) && !defined(__GNUC__))
  answer.low = _umul128(a, b, &answer.high); // _umul128 not available on ARM64
#elif defined(FFC_64BIT) && defined(__SIZEOF_INT128__)
  __uint128_t r = ((__uint128_t)a) * b;
  answer.low = (uint64_t)(r);
  answer.high = (uint64_t)(r >> 64);
#else
  answer.low = ffc_umul128_generic(a, b, &answer.high);
#endif
  return answer;
}

#define FFC_DOUBLE_SMALLEST_POWER_OF_10        -342
#define FFC_DOUBLE_LARGEST_POWER_OF_10         308
#define FFC_DOUBLE_SIGN_INDEX                  63
#define FFC_DOUBLE_INFINITE_POWER              0x7FF
#define FFC_DOUBLE_MANTISSA_EXPLICIT_BITS      52
#define FFC_DOUBLE_MINIMUM_EXPONENT            -1023
#define FFC_DOUBLE_MIN_EXPONENT_ROUND_TO_EVEN  -4
#define FFC_DOUBLE_MAX_EXPONENT_ROUND_TO_EVEN  23
#define FFC_DOUBLE_MAX_EXPONENT_FAST_PATH      22
#define FFC_DOUBLE_MAX_MANTISSA_FAST_PATH      ((uint64_t)(2) << FFC_DOUBLE_MANTISSA_EXPLICIT_BITS)
#define FFC_DOUBLE_EXPONENT_MASK               0x7FF0000000000000
#define FFC_DOUBLE_MANTISSA_MASK               0x000FFFFFFFFFFFFF
#define FFC_DOUBLE_HIDDEN_BIT_MASK             0x0010000000000000
#define FFC_DOUBLE_MAX_DIGITS                  769

#define FFC_FLOAT_SMALLEST_POWER_OF_10         -64
#define FFC_FLOAT_LARGEST_POWER_OF_10          38
#define FFC_FLOAT_SIGN_INDEX                   31
#define FFC_FLOAT_INFINITE_POWER               0xFF
#define FFC_FLOAT_MANTISSA_EXPLICIT_BITS       23
#define FFC_FLOAT_MINIMUM_EXPONENT             -127
#define FFC_FLOAT_MIN_EXPONENT_ROUND_TO_EVEN   -17
#define FFC_FLOAT_MAX_EXPONENT_ROUND_TO_EVEN   10
#define FFC_FLOAT_MAX_EXPONENT_FAST_PATH       10
#define FFC_FLOAT_MAX_MANTISSA_FAST_PATH       ((uint64_t)(2) << FFC_FLOAT_MANTISSA_EXPLICIT_BITS)
#define FFC_FLOAT_EXPONENT_MASK                0x7F800000
#define FFC_FLOAT_MANTISSA_MASK                0x007FFFFF
#define FFC_FLOAT_HIDDEN_BIT_MASK              0x00800000
#define FFC_FLOAT_MAX_DIGITS                   114

#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
  #define FFC_DOUBLE_MIN_EXPONENT_FAST_PATH 0
  #define FFC_FLOAT_MIN_EXPONENT_FAST_PATH  0
#else
  #define FFC_DOUBLE_MIN_EXPONENT_FAST_PATH -22
  #define FFC_FLOAT_MIN_EXPONENT_FAST_PATH  -10
#endif

#define ffc_const(value_kind, name) (value_kind == FFC_VALUE_KIND_DOUBLE ? FFC_DOUBLE_##name : FFC_FLOAT_##name)

#define FFC_POWERS_OF_5_NUMBER_OF_ENTRIES (2 * (FFC_DOUBLE_LARGEST_POWER_OF_10 - FFC_DOUBLE_SMALLEST_POWER_OF_10 + 1))

// Powers of five from 5^-342 all the way to 5^308 rounded toward one.
ffc_internal uint64_t FFC_POWERS_OF_FIVE[FFC_POWERS_OF_5_NUMBER_OF_ENTRIES] = { 
  0xeef453d6923bd65a, 0x113faa2906a13b3f, 0x9558b4661b6565f8, 0x4ac7ca59a424c507, 0xbaaee17fa23ebf76, 0x5d79bcf00d2df649, 0xe95a99df8ace6f53, 0xf4d82c2c107973dc, 0x91d8a02bb6c10594, 0x79071b9b8a4be869, 0xb64ec836a47146f9, 0x9748e2826cdee284, 0xe3e27a444d8d98b7, 0xfd1b1b2308169b25, 0x8e6d8c6ab0787f72, 0xfe30f0f5e50e20f7, 0xb208ef855c969f4f, 0xbdbd2d335e51a935, 0xde8b2b66b3bc4723, 0xad2c788035e61382, 0x8b16fb203055ac76, 0x4c3bcb5021afcc31, 0xaddcb9e83c6b1793, 0xdf4abe242a1bbf3d, 0xd953e8624b85dd78, 0xd71d6dad34a2af0d, 0x87d4713d6f33aa6b, 0x8672648c40e5ad68, 0xa9c98d8ccb009506, 0x680efdaf511f18c2, 0xd43bf0effdc0ba48, 0x212bd1b2566def2, 0x84a57695fe98746d, 0x14bb630f7604b57, 0xa5ced43b7e3e9188, 0x419ea3bd35385e2d, 0xcf42894a5dce35ea, 0x52064cac828675b9, 0x818995ce7aa0e1b2, 0x7343efebd1940993, 0xa1ebfb4219491a1f, 0x1014ebe6c5f90bf8, 0xca66fa129f9b60a6, 0xd41a26e077774ef6, 0xfd00b897478238d0, 0x8920b098955522b4, 0x9e20735e8cb16382, 0x55b46e5f5d5535b0, 0xc5a890362fddbc62, 0xeb2189f734aa831d, 0xf712b443bbd52b7b, 0xa5e9ec7501d523e4, 0x9a6bb0aa55653b2d, 0x47b233c92125366e, 0xc1069cd4eabe89f8, 0x999ec0bb696e840a, 0xf148440a256e2c76, 0xc00670ea43ca250d, 0x96cd2a865764dbca, 0x380406926a5e5728, 0xbc807527ed3e12bc, 0xc605083704f5ecf2, 0xeba09271e88d976b, 0xf7864a44c633682e, 0x93445b8731587ea3, 0x7ab3ee6afbe0211d, 0xb8157268fdae9e4c, 0x5960ea05bad82964, 0xe61acf033d1a45df, 0x6fb92487298e33bd, 0x8fd0c16206306bab, 0xa5d3b6d479f8e056, 0xb3c4f1ba87bc8696, 0x8f48a4899877186c, 0xe0b62e2929aba83c, 0x331acdabfe94de87, 0x8c71dcd9ba0b4925, 0x9ff0c08b7f1d0b14, 0xaf8e5410288e1b6f, 0x7ecf0ae5ee44dd9, 0xdb71e91432b1a24a, 0xc9e82cd9f69d6150, 0x892731ac9faf056e, 0xbe311c083a225cd2, 0xab70fe17c79ac6ca, 0x6dbd630a48aaf406, 0xd64d3d9db981787d, 0x92cbbccdad5b108, 0x85f0468293f0eb4e, 0x25bbf56008c58ea5, 0xa76c582338ed2621, 0xaf2af2b80af6f24e, 0xd1476e2c07286faa, 0x1af5af660db4aee1, 0x82cca4db847945ca, 0x50d98d9fc890ed4d, 0xa37fce126597973c, 0xe50ff107bab528a0, 0xcc5fc196fefd7d0c, 0x1e53ed49a96272c8, 0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7a, 0x9faacf3df73609b1, 0x77b191618c54e9ac, 0xc795830d75038c1d, 0xd59df5b9ef6a2417, 0xf97ae3d0d2446f25, 0x4b0573286b44ad1d, 0x9becce62836ac577, 0x4ee367f9430aec32, 0xc2e801fb244576d5, 0x229c41f793cda73f, 0xf3a20279ed56d48a, 0x6b43527578c1110f, 0x9845418c345644d6, 0x830a13896b78aaa9, 0xbe5691ef416bd60c, 0x23cc986bc656d553, 0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa8, 0x94b3a202eb1c3f39, 0x7bf7d71432f3d6a9, 0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc53, 0xe858ad248f5c22c9, 0xd1b3400f8f9cff68, 0x91376c36d99995be, 0x23100809b9c21fa1, 0xb58547448ffffb2d, 0xabd40a0c2832a78a, 0xe2e69915b3fff9f9, 0x16c90c8f323f516c, 0x8dd01fad907ffc3b, 0xae3da7d97f6792e3, 0xb1442798f49ffb4a, 0x99cd11cfdf41779c, 0xdd95317f31c7fa1d, 0x40405643d711d583, 0x8a7d3eef7f1cfc52, 0x482835ea666b2572, 0xad1c8eab5ee43b66, 0xda3243650005eecf, 0xd863b256369d4a40, 0x90bed43e40076a82, 0x873e4f75e2224e68, 0x5a7744a6e804a291, 0xa90de3535aaae202, 0x711515d0a205cb36, 0xd3515c2831559a83, 0xd5a5b44ca873e03, 0x8412d9991ed58091, 0xe858790afe9486c2, 0xa5178fff668ae0b6, 0x626e974dbe39a872, 0xce5d73ff402d98e3, 0xfb0a3d212dc8128f, 0x80fa687f881c7f8e, 0x7ce66634bc9d0b99, 0xa139029f6a239f72, 0x1c1fffc1ebc44e80, 0xc987434744ac874e, 0xa327ffb266b56220, 0xfbe9141915d7a922, 0x4bf1ff9f0062baa8, 0x9d71ac8fada6c9b5, 0x6f773fc3603db4a9, 0xc4ce17b399107c22, 0xcb550fb4384d21d3, 0xf6019da07f549b2b, 0x7e2a53a146606a48, 0x99c102844f94e0fb, 0x2eda7444cbfc426d, 0xc0314325637a1939, 0xfa911155fefb5308, 0xf03d93eebc589f88, 0x793555ab7eba27ca, 0x96267c7535b763b5, 0x4bc1558b2f3458de, 0xbbb01b9283253ca2, 0x9eb1aaedfb016f16, 0xea9c227723ee8bcb, 0x465e15a979c1cadc, 0x92a1958a7675175f, 0xbfacd89ec191ec9, 0xb749faed14125d36, 0xcef980ec671f667b, 0xe51c79a85916f484, 0x82b7e12780e7401a, 0x8f31cc0937ae58d2, 0xd1b2ecb8b0908810, 0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa15, 0xdfbdcece67006ac9, 0x67a791e093e1d49a, 0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e0, 0xaecc49914078536d, 0x58fae9f773886e18, 0xda7f5bf590966848, 0xaf39a475506a899e, 0x888f99797a5e012d, 0x6d8406c952429603, 0xaab37fd7d8f58178, 0xc8e5087ba6d33b83, 0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a64, 0x855c3be0a17fcd26, 0x5cf2eea09a55067f, 0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481e, 0xd0601d8efc57b08b, 0xf13b94daf124da26, 0x823c12795db6ce57, 0x76c53d08d6b70858, 0xa2cb1717b52481ed, 0x54768c4b0c64ca6e, 0xcb7ddcdda26da268, 0xa9942f5dcf7dfd09, 0xfe5d54150b090b02, 0xd3f93b35435d7c4c, 0x9efa548d26e5a6e1, 0xc47bc5014a1a6daf, 0xc6b8e9b0709f109a, 0x359ab6419ca1091b, 0xf867241c8cc6d4c0, 0xc30163d203c94b62, 0x9b407691d7fc44f8, 0x79e0de63425dcf1d, 0xc21094364dfb5636, 0x985915fc12f542e4, 0xf294b943e17a2bc4, 0x3e6f5b7b17b2939d, 0x979cf3ca6cec5b5a, 0xa705992ceecf9c42, 0xbd8430bd08277231, 0x50c6ff782a838353, 0xece53cec4a314ebd, 0xa4f8bf5635246428, 0x940f4613ae5ed136, 0x871b7795e136be99, 0xb913179899f68584, 0x28e2557b59846e3f, 0xe757dd7ec07426e5, 0x331aeada2fe589cf, 0x9096ea6f3848984f, 0x3ff0d2c85def7621, 0xb4bca50b065abe63, 0xfed077a756b53a9, 0xe1ebce4dc7f16dfb, 0xd3e8495912c62894, 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0x0, 0x9184e72a00000000, 0x0, 0xb5e620f480000000, 0x0, 0xe35fa931a0000000, 0x0, 0x8e1bc9bf04000000, 0x0, 0xb1a2bc2ec5000000, 0x0, 0xde0b6b3a76400000, 0x0, 0x8ac7230489e80000, 0x0, 0xad78ebc5ac620000, 0x0, 0xd8d726b7177a8000, 0x0, 0x878678326eac9000, 0x0, 0xa968163f0a57b400, 0x0, 0xd3c21bcecceda100, 0x0, 0x84595161401484a0, 0x0, 0xa56fa5b99019a5c8, 0x0, 0xcecb8f27f4200f3a, 0x0, 0x813f3978f8940984, 0x4000000000000000, 0xa18f07d736b90be5, 0x5000000000000000, 0xc9f2c9cd04674ede, 0xa400000000000000, 0xfc6f7c4045812296, 0x4d00000000000000, 0x9dc5ada82b70b59d, 0xf020000000000000, 0xc5371912364ce305, 0x6c28000000000000, 0xf684df56c3e01bc6, 0xc732000000000000, 0x9a130b963a6c115c, 0x3c7f400000000000, 0xc097ce7bc90715b3, 0x4b9f100000000000, 0xf0bdc21abb48db20, 0x1e86d40000000000, 0x96769950b50d88f4, 0x1314448000000000, 0xbc143fa4e250eb31, 0x17d955a000000000, 0xeb194f8e1ae525fd, 0x5dcfab0800000000, 0x92efd1b8d0cf37be, 0x5aa1cae500000000, 0xb7abc627050305ad, 0xf14a3d9e40000000, 0xe596b7b0c643c719, 0x6d9ccd05d0000000, 0x8f7e32ce7bea5c6f, 0xe4820023a2000000, 0xb35dbf821ae4f38b, 0xdda2802c8a800000, 0xe0352f62a19e306e, 0xd50b2037ad200000, 0x8c213d9da502de45, 0x4526f422cc340000, 0xaf298d050e4395d6, 0x9670b12b7f410000, 0xdaf3f04651d47b4c, 0x3c0cdd765f114000, 0x88d8762bf324cd0f, 0xa5880a69fb6ac800, 0xab0e93b6efee0053, 0x8eea0d047a457a00, 0xd5d238a4abe98068, 0x72a4904598d6d880, 0x85a36366eb71f041, 0x47a6da2b7f864750, 0xa70c3c40a64e6c51, 0x999090b65f67d924, 0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d, 0x82818f1281ed449f, 0xbff8f10e7a8921a4, 0xa321f2d7226895c7, 0xaff72d52192b6a0d, 0xcbea6f8ceb02bb39, 0x9bf4f8a69f764490, 0xfee50b7025c36a08, 0x2f236d04753d5b4, 0x9f4f2726179a2245, 0x1d762422c946590, 0xc722f0ef9d80aad6, 0x424d3ad2b7b97ef5, 0xf8ebad2b84e0d58b, 0xd2e0898765a7deb2, 0x9b934c3b330c8577, 0x63cc55f49f88eb2f, 0xc2781f49ffcfa6d5, 0x3cbf6b71c76b25fb, 0xf316271c7fc3908a, 0x8bef464e3945ef7a, 0x97edd871cfda3a56, 0x97758bf0e3cbb5ac, 0xbde94e8e43d0c8ec, 0x3d52eeed1cbea317, 0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd, 0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a, 0xb975d6b6ee39e436, 0xb3e2fd538e122b44, 0xe7d34c64a9c85d44, 0x60dbbca87196b616, 0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd, 0xb51d13aea4a488dd, 0x6babab6398bdbe41, 0xe264589a4dcdab14, 0xc696963c7eed2dd1, 0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2, 0xb0de65388cc8ada8, 0x3b25a55f43294bcb, 0xdd15fe86affad912, 0x49ef0eb713f39ebe, 0x8a2dbf142dfcc7ab, 0x6e3569326c784337, 0xacb92ed9397bf996, 0x49c2c37f07965404, 0xd7e77a8f87daf7fb, 0xdc33745ec97be906, 0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3, 0xa8acd7c0222311bc, 0xc40832ea0d68ce0c, 0xd2d80db02aabd62b, 0xf50a3fa490c30190, 0x83c7088e1aab65db, 0x792667c6da79e0fa, 0xa4b8cab1a1563f52, 0x577001b891185938, 0xcde6fd5e09abcf26, 0xed4c0226b55e6f86, 0x80b05e5ac60b6178, 0x544f8158315b05b4, 0xa0dc75f1778e39d6, 0x696361ae3db1c721, 0xc913936dd571c84c, 0x3bc3a19cd1e38e9, 0xfb5878494ace3a5f, 0x4ab48a04065c723, 0x9d174b2dcec0e47b, 0x62eb0d64283f9c76, 0xc45d1df942711d9a, 0x3ba5d0bd324f8394, 0xf5746577930d6500, 0xca8f44ec7ee36479, 0x9968bf6abbe85f20, 0x7e998b13cf4e1ecb, 0xbfc2ef456ae276e8, 0x9e3fedd8c321a67e, 0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101e, 0x95d04aee3b80ece5, 0xbba1f1d158724a12, 0xbb445da9ca61281f, 0x2a8a6e45ae8edc97, 0xea1575143cf97226, 0xf52d09d71a3293bd, 0x924d692ca61be758, 0x593c2626705f9c56, 0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836c, 0xe498f455c38b997a, 0xb6dfb9c0f956447, 0x8edf98b59a373fec, 0x4724bd4189bd5eac, 0xb2977ee300c50fe7, 0x58edec91ec2cb657, 0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ed, 0x8b865b215899f46c, 0xbd79e0d20082ee74, 0xae67f1e9aec07187, 0xecd8590680a3aa11, 0xda01ee641a708de9, 0xe80e6f4820cc9495, 0x884134fe908658b2, 0x3109058d147fdcdd, 0xaa51823e34a7eede, 0xbd4b46f0599fd415, 0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91a, 0x850fadc09923329e, 0x3e2cf6bc604ddb0, 0xa6539930bf6bff45, 0x84db8346b786151c, 0xcfe87f7cef46ff16, 0xe612641865679a63, 0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07e, 0xa26da3999aef7749, 0xe3be5e330f38f09d, 0xcb090c8001ab551c, 0x5cadf5bfd3072cc5, 0xfdcb4fa002162a63, 0x73d9732fc7c8f7f6, 0x9e9f11c4014dda7e, 0x2867e7fddcdd9afa, 0xc646d63501a1511d, 0xb281e1fd541501b8, 0xf7d88bc24209a565, 0x1f225a7ca91a4226, 0x9ae757596946075f, 0x3375788de9b06958, 0xc1a12d2fc3978937, 0x52d6b1641c83ae, 0xf209787bb47d6b84, 0xc0678c5dbd23a49a, 0x9745eb4d50ce6332, 0xf840b7ba963646e0, 0xbd176620a501fbff, 0xb650e5a93bc3d898, 0xec5d3fa8ce427aff, 0xa3e51f138ab4cebe, 0x93ba47c980e98cdf, 0xc66f336c36b10137, 0xb8a8d9bbe123f017, 0xb80b0047445d4184, 0xe6d3102ad96cec1d, 0xa60dc059157491e5, 0x9043ea1ac7e41392, 0x87c89837ad68db2f, 0xb454e4a179dd1877, 0x29babe4598c311fb, 0xe16a1dc9d8545e94, 0xf4296dd6fef3d67a, 0x8ce2529e2734bb1d, 0x1899e4a65f58660c, 0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f, 0xdc21a1171d42645d, 0x76707543f4fa1f73, 0x899504ae72497eba, 0x6a06494a791c53a8, 0xabfa45da0edbde69, 0x487db9d17636892, 0xd6f8d7509292d603, 0x45a9d2845d3c42b6, 0x865b86925b9bc5c2, 0xb8a2392ba45a9b2, 0xa7f26836f282b732, 0x8e6cac7768d7141e, 0xd1ef0244af2364ff, 0x3207d795430cd926, 0x8335616aed761f1f, 0x7f44e6bd49e807b8, 0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a6, 0xcd036837130890a1, 0x36dba887c37a8c0f, 0x802221226be55a64, 0xc2494954da2c9789, 0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6c, 0xc83553c5c8965d3d, 0x6f92829494e5acc7, 0xfa42a8b73abbf48c, 0xcb772339ba1f17f9, 0x9c69a97284b578d7, 0xff2a760414536efb, 0xc38413cf25e2d70d, 0xfef5138519684aba, 0xf46518c2ef5b8cd1, 0x7eb258665fc25d69, 0x98bf2f79d5993802, 0xef2f773ffbd97a61, 0xbeeefb584aff8603, 0xaafb550ffacfd8fa, 0xeeaaba2e5dbf6784, 0x95ba2a53f983cf38, 0x952ab45cfa97a0b2, 0xdd945a747bf26183, 0xba756174393d88df, 0x94f971119aeef9e4, 0xe912b9d1478ceb17, 0x7a37cd5601aab85d, 0x91abb422ccb812ee, 0xac62e055c10ab33a, 0xb616a12b7fe617aa, 0x577b986b314d6009, 0xe39c49765fdf9d94, 0xed5a7e85fda0b80b, 0x8e41ade9fbebc27d, 0x14588f13be847307, 0xb1d219647ae6b31c, 0x596eb2d8ae258fc8, 0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bb, 0x8aec23d680043bee, 0x25de7bb9480d5854, 0xada72ccc20054ae9, 0xaf561aa79a10ae6a, 0xd910f7ff28069da4, 0x1b2ba1518094da04, 0x87aa9aff79042286, 0x90fb44d2f05d0842, 0xa99541bf57452b28, 0x353a1607ac744a53, 0xd3fa922f2d1675f2, 0x42889b8997915ce8, 0x847c9b5d7c2e09b7, 0x69956135febada11, 0xa59bc234db398c25, 0x43fab9837e699095, 0xcf02b2c21207ef2e, 0x94f967e45e03f4bb, 0x8161afb94b44f57d, 0x1d1be0eebac278f5, 0xa1ba1ba79e1632dc, 0x6462d92a69731732, 0xca28a291859bbf93, 0x7d7b8f7503cfdcfe, 0xfcb2cb35e702af78, 0x5cda735244c3d43e, 0x9defbf01b061adab, 0x3a0888136afa64a7, 0xc56baec21c7a1916, 0x88aaa1845b8fdd0, 0xf6c69a72a3989f5b, 0x8aad549e57273d45, 0x9a3c2087a63f6399, 0x36ac54e2f678864b, 0xc0cb28a98fcf3c7f, 0x84576a1bb416a7dd, 0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d5, 0x969eb7c47859e743, 0x9f644ae5a4b1b325, 0xbc4665b596706114, 0x873d5d9f0dde1fee, 0xeb57ff22fc0c7959, 0xa90cb506d155a7ea, 0x9316ff75dd87cbd8, 0x9a7f12442d588f2, 0xb7dcbf5354e9bece, 0xc11ed6d538aeb2f, 0xe5d3ef282a242e81, 0x8f1668c8a86da5fa, 0x8fa475791a569d10, 0xf96e017d694487bc, 0xb38d92d760ec4455, 0x37c981dcc395a9ac, 0xe070f78d3927556a, 0x85bbe253f47b1417, 0x8c469ab843b89562, 0x93956d7478ccec8e, 0xaf58416654a6babb, 0x387ac8d1970027b2, 0xdb2e51bfe9d0696a, 0x6997b05fcc0319e, 0x88fcf317f22241e2, 0x441fece3bdf81f03, 0xab3c2fddeeaad25a, 0xd527e81cad7626c3, 0xd60b3bd56a5586f1, 0x8a71e223d8d3b074, 0x85c7056562757456, 0xf6872d5667844e49, 0xa738c6bebb12d16c, 0xb428f8ac016561db, 0xd106f86e69d785c7, 0xe13336d701beba52, 0x82a45b450226b39c, 0xecc0024661173473, 0xa34d721642b06084, 0x27f002d7f95d0190, 0xcc20ce9bd35c78a5, 0x31ec038df7b441f4, 0xff290242c83396ce, 0x7e67047175a15271, 0x9f79a169bd203e41, 0xf0062c6e984d386, 0xc75809c42c684dd1, 0x52c07b78a3e60868, 0xf92e0c3537826145, 0xa7709a56ccdf8a82, 0x9bbcc7a142b17ccb, 0x88a66076400bb691, 0xc2abf989935ddbfe, 0x6acff893d00ea435, 0xf356f7ebf83552fe, 0x583f6b8c4124d43, 0x98165af37b2153de, 0xc3727a337a8b704a, 0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5c, 0xeda2ee1c7064130c, 0x1162def06f79df73, 0x9485d4d1c63e8be7, 0x8addcb5645ac2ba8, 0xb9a74a0637ce2ee1, 0x6d953e2bd7173692, 0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0437, 0x910ab1d4db9914a0, 0x1d9c9892400a22a2, 0xb54d5e4a127f59c8, 0x2503beb6d00cab4b, 0xe2a0b5dc971f303a, 0x2e44ae64840fd61d, 0x8da471a9de737e24, 0x5ceaecfed289e5d2, 0xb10d8e1456105dad, 0x7425a83e872c5f47, 0xdd50f1996b947518, 0xd12f124e28f77719, 0x8a5296ffe33cc92f, 0x82bd6b70d99aaa6f, 0xace73cbfdc0bfb7b, 0x636cc64d1001550b, 0xd8210befd30efa5a, 0x3c47f7e05401aa4e, 0x8714a775e3e95c78, 0x65acfaec34810a71, 0xa8d9d1535ce3b396, 0x7f1839a741a14d0d, 0xd31045a8341ca07c, 0x1ede48111209a050, 0x83ea2b892091e44d, 0x934aed0aab460432, 0xa4e4b66b68b65d60, 0xf81da84d5617853f, 0xce1de40642e3f4b9, 0x36251260ab9d668e, 0x80d2ae83e9ce78f3, 0xc1d72b7c6b426019, 0xa1075a24e4421730, 0xb24cf65b8612f81f, 0xc94930ae1d529cfc, 0xdee033f26797b627, 0xfb9b7cd9a4a7443c, 0x169840ef017da3b1, 0x9d412e0806e88aa5, 0x8e1f289560ee864e, 0xc491798a08a2ad4e, 0xf1a6f2bab92a27e2, 0xf5b5d7ec8acb58a2, 0xae10af696774b1db, 0x9991a6f3d6bf1765, 0xacca6da1e0a8ef29, 0xbff610b0cc6edd3f, 0x17fd090a58d32af3, 0xeff394dcff8a948e, 0xddfc4b4cef07f5b0, 0x95f83d0a1fb69cd9, 0x4abdaf101564f98e, 0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f1, 0xea53df5fd18d5513, 0x84c86189216dc5ed, 0x92746b9be2f8552c, 0x32fd3cf5b4e49bb4, 0xb7118682dbb66a77, 0x3fbc8c33221dc2a1, 0xe4d5e82392a40515, 0xfabaf3feaa5334a, 0x8f05b1163ba6832d, 0x29cb4d87f2a7400e, 0xb2c71d5bca9023f8, 0x743e20e9ef511012, 0xdf78e4b2bd342cf6, 0x914da9246b255416, 0x8bab8eefb6409c1a, 0x1ad089b6c2f7548e, 0xae9672aba3d0c320, 0xa184ac2473b529b1, 0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741e, 0x8865899617fb1871, 0x7e2fa67c7a658892, 0xaa7eebfb9df9de8d, 0xddbb901b98feeab7, 0xd51ea6fa85785631, 0x552a74227f3ea565, 0x8533285c936b35de, 0xd53a88958f87275f, 0xa67ff273b8460356, 0x8a892abaf368f137, 0xd01fef10a657842c, 0x2d2b7569b0432d85, 0x8213f56a67f6b29b, 0x9c3b29620e29fc73, 0xa298f2c501f45f42, 0x8349f3ba91b47b8f, 0xcb3f2f7642717713, 0x241c70a936219a73, 0xfe0efb53d30dd4d7, 0xed238cd383aa0110, 0x9ec95d1463e8a506, 0xf4363804324a40aa, 0xc67bb4597ce2ce48, 0xb143c6053edcd0d5, 0xf81aa16fdc1b81da, 0xdd94b7868e94050a, 0x9b10a4e5e9913128, 0xca7cf2b4191c8326, 0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f0, 0xf24a01a73cf2dccf, 0xbc633b39673c8cec, 0x976e41088617ca01, 0xd5be0503e085d813, 0xbd49d14aa79dbc82, 0x4b2d8644d8a74e18, 0xec9c459d51852ba2, 0xddf8e7d60ed1219e, 0x93e1ab8252f33b45, 0xcabb90e5c942b503, 0xb8da1662e7b00a17, 0x3d6a751f3b936243, 0xe7109bfba19c0c9d, 0xcc512670a783ad4, 0x906a617d450187e2, 0x27fb2b80668b24c5, 0xb484f9dc9641e9da, 0xb1f9f660802dedf6, 0xe1a63853bbd26451, 0x5e7873f8a0396973, 0x8d07e33455637eb2, 0xdb0b487b6423e1e8, 0xb049dc016abc5e5f, 0x91ce1a9a3d2cda62, 0xdc5c5301c56b75f7, 0x7641a140cc7810fb, 0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9d, 0xac2820d9623bf429, 0x546345fa9fbdcd44, 0xd732290fbacaf133, 0xa97c177947ad4095, 0x867f59a9d4bed6c0, 0x49ed8eabcccc485d, 0xa81f301449ee8c70, 0x5c68f256bfff5a74, 0xd226fc195c6a2f8c, 0x73832eec6fff3111, 0x83585d8fd9c25db7, 0xc831fd53c5ff7eab, 0xa42e74f3d032f525, 0xba3e7ca8b77f5e55, 0xcd3a1230c43fb26f, 0x28ce1bd2e55f35eb, 0x80444b5e7aa7cf85, 0x7980d163cf5b81b3, 0xa0555e361951c366, 0xd7e105bcc332621f, 0xc86ab5c39fa63440, 0x8dd9472bf3fefaa7, 0xfa856334878fc150, 0xb14f98f6f0feb951, 0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d3, 0xc3b8358109e84f07, 0xa862f80ec4700c8, 0xf4a642e14c6262c8, 0xcd27bb612758c0fa, 0x98e7e9cccfbd7dbd, 0x8038d51cb897789c, 0xbf21e44003acdd2c, 0xe0470a63e6bd56c3, 0xeeea5d5004981478, 0x1858ccfce06cac74, 0x95527a5202df0ccb, 0xf37801e0c43ebc8, 0xbaa718e68396cffd, 0xd30560258f54e6ba, 0xe950df20247c83fd, 0x47c6b82ef32a2069, 0x91d28b7416cdd27e, 0x4cdc331d57fa5441, 0xb6472e511c81471d, 0xe0133fe4adf8e952, 0xe3d8f9e563a198e5, 0x58180fddd97723a6, 0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648
};

// lookup table for ascii values
ffc_internal bool FFC_SPACE_LUT[256] = {
      0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

ffc_internal ffc_inline bool ffc_is_space(char c) {
  return FFC_SPACE_LUT[(uint8_t)c];
}

ffc_internal uint8_t FFC_CHAR_TO_DIGIT_LUT[] = {
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 0,   1,   2,   3,   4,   5,   6,   7,   8,   9,   255, 255,
      255, 255, 255, 255, 255, 10,  11,  12,  13,  14,  15,  16,  17,  18,  19,
      20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,  33,  34,
      35,  255, 255, 255, 255, 255, 255, 10,  11,  12,  13,  14,  15,  16,  17,
      18,  19,  20,  21,  22,  23,  24,  25,  26,  27,  28,  29,  30,  31,  32,
      33,  34,  35,  255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255,
      255};

ffc_internal ffc_inline 
uint8_t ffc_char_to_digit(char c) {
  return FFC_CHAR_TO_DIGIT_LUT[(uint8_t)c];
}

// Indexed by a 'base' but offset by 2, first entry is base 2, 64 digits, checks out right?
ffc_internal size_t FFC_MAXDIGITS_OF_BASE_U64[] = {
    64, 41, 32, 28, 25, 23, 22, 21, 20, 19, 18, 18, 17, 17, 16, 16, 16, 16,
    15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13};

ffc_internal ffc_inline size_t ffc_max_digits_u64(int base) {
  return FFC_MAXDIGITS_OF_BASE_U64[base - 2];
}

ffc_internal ffc_inline bool ffc_is_integer(char c) {
  // can be micro-optimized, but compilers are entirely able to optimize it well
  return (unsigned)(c - '0') <= 9u;
}


ffc_internal uint64_t FFC_MIN_SAFE_OF_BASE_U64[] = {
      9223372036854775808ull,  12157665459056928801ull, 4611686018427387904,
      7450580596923828125,     4738381338321616896,     3909821048582988049,
      9223372036854775808ull,  12157665459056928801ull, 10000000000000000000ull,
      5559917313492231481,     2218611106740436992,     8650415919381337933,
      2177953337809371136,     6568408355712890625,     1152921504606846976,
      2862423051509815793,     6746640616477458432,     15181127029874798299ull,
      1638400000000000000,     3243919932521508681,     6221821273427820544,
      11592836324538749809ull, 876488338465357824,      1490116119384765625,
      2481152873203736576,     4052555153018976267,     6502111422497947648,
      10260628712958602189ull, 15943230000000000000ull, 787662783788549761,
      1152921504606846976,     1667889514952984961,     2386420683693101056,
      3379220508056640625,     4738381338321616896};

ffc_internal ffc_inline uint64_t ffc_min_safe_u64_of_base(int base) {
  return FFC_MIN_SAFE_OF_BASE_U64[base - 2];
}

ffc_internal ffc_inline
bool ffc_strncasecmp3(char const *actual_mixedcase, char const *expected_lowercase, size_t char_width) {
  uint64_t mask = 0;
  if (char_width == 1) { mask = 0x2020202020202020; }
  else if (char_width == 2) { mask = 0x0020002000200020; }
  else if (char_width == 4) { mask = 0x0000002000000020; }
  else { return false; }

  uint64_t val1 = 0;
  uint64_t val2 = 0;
  if (char_width == 1 || char_width == 2) {
    memcpy(&val1, actual_mixedcase, 3 * char_width);
    memcpy(&val2, expected_lowercase, 3 * char_width);
    val1 |= mask;
    val2 |= mask;
    return val1 == val2;
  } else if (char_width == 4) {
    memcpy(&val1, actual_mixedcase, 2 * char_width);
    memcpy(&val2, expected_lowercase, 2 * char_width);
    val1 |= mask;
    if (val1 != val2) {
      return false;
    }
    return (actual_mixedcase[2] | 32) == (expected_lowercase[2]);
  } else {
    return false;
  }
}

ffc_internal ffc_inline
bool ffc_strncasecmp5(char *actual_mixedcase, char const *expected_lowercase, size_t char_width) {
  uint64_t mask = 0;
  uint64_t val1 = 0;
  uint64_t val2 = 0;
  if (char_width == 1) {
    mask = 0x2020202020202020;
    memcpy(&val1, actual_mixedcase, 5 * char_width);
    memcpy(&val2, expected_lowercase, 5 * char_width);
    val1 |= mask;
    val2 |= mask;
    return val1 == val2;
  } else if (char_width == 2) {
    mask = 0x0020002000200020;
    memcpy(&val1, actual_mixedcase, 4 * char_width);
    memcpy(&val2, expected_lowercase, 4 * char_width);
    val1 |= mask;
    if (val1 != val2) {
      return false;
    }
    return (actual_mixedcase[4] | 32) == (expected_lowercase[4]);
  } else if (char_width == 4) {
    mask = 0x0000002000000020;
    memcpy(&val1, actual_mixedcase, 2 * char_width);
    memcpy(&val2, expected_lowercase, 2 * char_width);
    val1 |= mask;
    if (val1 != val2) {
      return false;
    }
    memcpy(&val1, actual_mixedcase + 2, 2 * char_width);
    memcpy(&val2, expected_lowercase + 2, 2 * char_width);
    val1 |= mask;
    if (val1 != val2) {
      return false;
    }
    return (actual_mixedcase[4] | 32) == (expected_lowercase[4]);
  }
  return false;
}

/**
 * Returns true if the floating-pointing rounding mode is to 'nearest'.
 * It is the default on most system. This function is meant to be inexpensive.
 * Credit : @mwalcott3
 */

ffc_internal ffc_inline
bool ffc_rounds_to_nearest(void) {
#if defined(FFC_ROUNDS_TO_NEAREST)
  // Compile-time constant: caller guarantees IEEE 754 round-to-nearest mode.
  // Eliminates the volatile float FCMP chain entirely.
  return true;
#endif
  // https://lemire.me/blog/2020/06/26/gcc-not-nearest/
#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0)
  return false;
#endif
  // See
  // A fast function to check your floating-point rounding mode
  // https://lemire.me/blog/2022/11/16/a-fast-function-to-check-your-floating-point-rounding-mode/
  //
  // This function is meant to be equivalent to :
  // prior: #include <cfenv>
  //  return fegetround() == FE_TONEAREST;
  // However, it is expected to be much faster than the fegetround()
  // function call.
  //
  // The volatile keyword prevents the compiler from computing the function
  // at compile-time.
  // There might be other ways to prevent compile-time optimizations (e.g.,
  // asm). The value does not need to be std::numeric_limits<float>::min(), any
  // small value so that 1 + x should round to 1 would do (after accounting for
  // excess precision, as in 387 instructions).
  static float volatile fmin = FLT_MIN;
  float fmini = fmin; // we copy it so that it gets loaded at most once.
//
// Explanation:
// Only when fegetround() == FE_TONEAREST do we have that
// fmin + 1.0f == 1.0f - fmin.
//
// FE_UPWARD:
//  fmin + 1.0f > 1
//  1.0f - fmin == 1
//
// FE_DOWNWARD or  FE_TOWARDZERO:
//  fmin + 1.0f == 1
//  1.0f - fmin < 1
//
// Note: This may fail to be accurate if fast-math has been
// enabled, as rounding conventions may not apply.
#ifdef FFC_VISUAL_STUDIO
#pragma warning(push)
//  todo: is there a VS warning?
//  see
//  https://stackoverflow.com/questions/46079446/is-there-a-warning-for-floating-point-equality-checking-in-visual-studio-2013
#elif defined(__clang__)
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wfloat-equal"
#elif defined(__GNUC__)
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wfloat-equal"
#endif
  return (fmini + 1.0f == 1.0f - fmini);
#ifdef FFC_VISUAL_STUDIO
#pragma warning(pop)
#elif defined(__clang__)
#pragma clang diagnostic pop
#elif defined(__GNUC__)
#pragma GCC diagnostic pop
#endif
}

ffc_internal ffc_inline
// packs up an adjusted_mantissa into a double
void ffc_am_to_float(bool negative, ffc_adjusted_mantissa am, ffc_value* value, ffc_value_kind vk) {
  if (vk == FFC_VALUE_KIND_FLOAT) {
    uint32_t word = (uint32_t)am.mantissa;
    word = word | (uint32_t)(am.power2) << ffc_const(vk, MANTISSA_EXPLICIT_BITS);
    word = word | (uint32_t)(negative) << ffc_const(vk, SIGN_INDEX);
    memcpy(value, &word, sizeof(uint32_t));
  } else {
    uint64_t word = am.mantissa;
    word = word | (uint64_t)(am.power2) << ffc_const(vk, MANTISSA_EXPLICIT_BITS);
    word = word | (uint64_t)(negative) << ffc_const(vk, SIGN_INDEX);
    memcpy(value, &word, sizeof(uint64_t));
  }
}

static const double FFC_DOUBLE_POWERS_OF_TEN[] = {
  1e0,  1e1,  1e2,  1e3,  1e4,  1e5,  1e6,  1e7,  1e8,  1e9,  1e10, 1e11,
 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22
};

static const float FFC_FLOAT_POWERS_OF_TEN[] = {
  1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f,
  1e6f, 1e7f, 1e8f, 1e9f, 1e10f
};

// Largest integer value v so that (5**index * v) <= 1<<53.
// 0x20000000000000 == 1 << 53
#define FFC_55555 (5LL * 5LL * 5LL * 5LL * 5LL)
static const uint64_t FFC_DOUBLE_MAX_MANTISSA[] = {
    (uint64_t)0x20000000000000L,
    (uint64_t)0x20000000000000L / 5,
    (uint64_t)0x20000000000000L / (5 * 5),
    (uint64_t)0x20000000000000L / (5 * 5 * 5),
    (uint64_t)0x20000000000000L / (5 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555),
    (uint64_t)0x20000000000000L / (FFC_55555 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * 5 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * FFC_55555),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * FFC_55555 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5 * 5),
    (uint64_t)0x20000000000000L / (FFC_55555 * FFC_55555 * FFC_55555 * FFC_55555 * 5 * 5 * 5 * 5)};

// Largest integer value v so that (5**index * v) <= 1<<24.
// 0x1000000 == 1<<24
static const uint64_t FFC_FLOAT_MAX_MANTISSA[] = {
    0x1000000,
    0x1000000 / 5,
    0x1000000 / (5 * 5),
    0x1000000 / (5 * 5 * 5),
    0x1000000 / (5 * 5 * 5 * 5),
    0x1000000 / (FFC_55555),
    0x1000000 / (FFC_55555 * 5),
    0x1000000 / (FFC_55555 * 5 * 5),
    0x1000000 / (FFC_55555 * 5 * 5 * 5),
    0x1000000 / (FFC_55555 * 5 * 5 * 5 * 5),
    0x1000000 / (FFC_55555 * FFC_55555),
    0x1000000 / (FFC_55555 * FFC_55555 * 5)};

#ifndef FFC_ASSERT
#define FFC_ASSERT(x)                                                    \
  { ((void)(x)); }
#endif

#ifndef FFC_DEBUG_ASSERT
#define FFC_DEBUG_ASSERT(x)                                              \
  { ((void)(x)); }
#endif

#endif // FFC_COMMON_H