// file : odb/oracle/details/number.cxx // author : Constantin Michael // copyright : Copyright (c) 2005-2011 Code Synthesis Tools CC // license : ODB NCUEL; see accompanying LICENSE file #include // std::size_t #include #include using namespace std; namespace odb { namespace oracle { namespace details { // The VARNUM type's binary representation is made up of the following // bit fields, ordered in increasing memory address. // // 000 to 007: The size of the binary representation, including the // exponent bits and the mantissa bits, but excluding these // length bits. // // 008 to 015: The base-100 exponent bits. The most significant bit is // the sign bit of the number, which is set for positive // numbers and cleared for negative numbers. For positive // numbers, the exponent has a bias of 65 added to it. // // 016 to 175: The mantissa bits. Each byte of this field represents a // single base-100 value. // // long long number_to_int64 (const unsigned char* b) { int n (b[0]); // Zero is represented by zero significant bits and an exponent // set to 128. // if (n == 1) { assert (b[1] == 128); return 0; } long long v (0); // Test the sign bit of the exponent. // if (b[1] & 0x80) { // The unbiased exponent of a positive number may be calculated as // b[1] - 128 - 65. For an integer, this is the order of magnitude // of the number. Calculate the maximum weight, 100 ^ o, where o is // the order of magnitude of the number. // long long w (1); for (size_t i (0), o (b[1] - 193); i < o; ++i) w *= 100; // Accumlate the sum of the significant base-100 terms. // for (const unsigned char* m (b + 2), *e (b + 1 + n); m < e; ++m) { v += (*m - 1) * w; w /= 100; } } else { // The unbiased exponent of a negative number is calculated as // (~b[1] & 0x7F) - 193. For an integer, this is the order of // magnitude of the number. Calculate the maximum weight, 100 ^ o, // where o is the order of magnitude of the number. // long long w (1); for (size_t i (0), o ((~b[1] & 0x7F) - 65); i < o; ++i) w *= 100; // Accumulate the sum of the significant base-100 terms. Note that // negative values will have a terminator byte which is included // in the length. This is ignored. // for (const unsigned char* m (b + 2), *e (b + n); m < e; ++m) { v -= (101 - *m) * w; w /= 100; } } return v; } void int64_to_number (unsigned char* b, long long v) { // We assume that b is long enough to contain a long long VARNUM // representation, that being 12 bytes. // if (v == 0) { b[0] = 1; b[1] = 128; return; } bool sig (false); size_t n (0); unsigned char t[11], *m (t); if (v < 0) { // Termination marker for negative numbers. // *m++ = 102; while (v != 0) { int r (static_cast (v % 100)); sig = sig || r != 0; if (sig) *m++ = static_cast (101 + r); v /= 100; ++n; } // The exponent is one less than the number of base 100 digits. It is // inverted for negative values. // b[1] = static_cast (~(n + 192)); } else { while (v != 0) { int r (static_cast (v % 100)); sig = sig || r != 0; if (sig) *m++ = static_cast (r + 1); v /= 100; ++n; } // Exponent is one less than the number of base 100 digits. // b[1] = static_cast (n + 192); } // Set the length. // b[0] = static_cast (m - t + 1); // Set the significant digits in big-endian byte order and the // terminator, if any. // for (size_t i (2); m > t; ++i) b[i] = *--m; } unsigned long long number_to_uint64 (const unsigned char* b) { int n (b[0]); // Zero is represented by zero significant bits and an exponent // set to 128. // if (n == 1) { assert (b[1] == 128); return 0; } unsigned long long v (0); // Test the sign bit of the exponent. // if (b[1] & 0x80) { assert (false); return 0; } // The unbiased exponent of a positive number may be calculated as // b[1] - 128 - 65. For an integer, this is the order of magnitude // of the number. Calculate the maximum weight, 100 ^ o, where o is // the order of magnitude of the number. // unsigned long long w (1); for (size_t i (0), o (b[1] - 193); i < o; ++i) w *= 100; // Accumlate the sum of the significant base-100 terms. // for (const unsigned char* m (b + 2), *e (b + 1 + n); m < e; ++m) { v += (*m - 1) * w; w /= 100; } return v; } void uint64_to_number (unsigned char* b, unsigned long long v) { // We assume that b is long enough to contain an unsigned long long // VARNUM representation, that being 12 bytes. // if (v == 0) { b[0] = 1; b[1] = 128; return; } bool sig (false); size_t n (0); unsigned char t[11], *m (t); while (v != 0) { int r (static_cast (v % 100)); sig = sig || r != 0; if (sig) *m++ = static_cast (r + 1); v /= 100; ++n; } // Exponent is one less than the number of base 100 digits. // b[1] = static_cast (n + 192); // Set the length. // b[0] = static_cast (m - t + 1); // Set the significant digits in big-endian byte order. // for (size_t i (2); m > t; ++i) b[i] = *--m; } } } }