Tollos – miniDec.c  
Libraries
Background

miniDec.c – a decimal package for small systems This package supports a simple decimal format, intended for the storage, management, and display of decimal data. As such, it provides conversions to and from ints, doubles, and strings in various forms, along with decQuantize to ‘shape’ decimal data. Arithmetic operations are currently not included, but the bounds of the format conform to IEEE 754 rules (section 3) and IEEE 754 arithmetic functions could be added later. Overflows or bad conversions result in a Infinities or quiet NaNs (decNaN), as appropriate. For details not covered in the function descriptions, see the General Decimal Arithmetic Specification. Decimal numbers are passed by copy since they are smaller than two words (assuming a 32bit system). The maximum coefficient is 9 digits and emax is 999.
decFromDouble – double to decimal dec decFromDouble(double dub);
dub – double (IEEE 754 binary64) to convert
returns decimal conversion of dub Finite numbers will always be in range, but will be rounded to 9 decimal digits (or one, for zeros). All NaNs return decNaN. decFromInt – int to decimal dec decFromInt(int i);
i – int to convert [DECMINCOE <= i <= DECMAXCOE]
returns decimal with the value of the int, or decNaN if out of range decFromInts – int coefficent and exponent to decimal dec decFromInts(int coe, int exp);
coe – coefficient to convert [DECMINCOE <= coe <= DECMAXCOE] exp – exponent to use
returns decimal constructed from coe and exp, or decNaN if the resulting number would be out of range The number is in range if it is zero, or it is nonzero and its magnitude is in the range 0.00000001*10**−998 through 9.99999999*10**999, provided that the exponent needed to represent it exactly with the coefficient as an integer (including trailing zeros) is in the range −1006 through 999. decFromString – string to decimal dec decFromString(const char * str);
str – string to convert
returns decimal holding the converted string If the coefficient has more than 9 digits, or the number represented by the string is out of range, or the syntax is invalid, then a quiet NaN is returned. No rounding takes place; for finite numbers this conversion is exact if it succeeds. The number is in range if it is zero, or it is nonzero and its magnitude is in the range 0.00000001*10**−998 through 9.99999999*10**999, provided that the exponent needed to represent it exactly with the coefficient as an integer (including trailing zeros) is in the range −1006 through 999. The spellings for the special values are as recommended by IEEE 754, and are independent of case; the following are accepted: “infinity”, “inf”, “nan”, or “snan”. See the General Arithmetic Specification for a formal description of allowed syntax. decGetCoeff – return the coefficient of a decimal as an int int decGetCoeff(dec num);
num – decimal to process
returns the unsigned coefficient of num, as an int The result will be in the range 0 .. 999999999 decGetDigits – return the number of digits in a decimal int decGetDigits(dec num);
num – decimal to check
returns the number of significant digits in the coefficient of num (or returns 1 if the coefficient is 0, or num is infinite or a NaN) decGetExp – return the exponent of a decimal as an int int decGetExp(dec num);
num – decimal to process
returns the signed exponent of num The result will be in the range −1006 .. 999 decGetSign – return the sign of a decimal as an int int decGetSign(dec num);
num – decimal to process
returns the sign of num The result will be 1 if num is signed or 0 if it is not. The sign indicates negative for nonzero numbers and infinity. decIdentical – test if two decimals are identical int decIdentical(dec num1, dec num2);
num1 – first decimal to test num2 – second decimal to test
returns 1 the two decimals are identical in all respects Decimals are identical if they have the same sign, and also if finite they have the same exponent and coefficient, or if not finite they are the same kind of NaN or they are both infinite. Note that decimals that are not identical might be numerically equal (for example, 2.50 is numerically equal to 2.5). decIsFinite – test if a decimal is finite int decIsFinite(dec num);
num – decimal to test
returns 1 if num is neither a NaN nor an Infinity, 0 in all other cases. decIsInf – test if a decimal is infinite int decIsInf(dec num);
num – decimal to test
returns 1 if num is an Infinity, 0 in all other cases. decIsNaN – test if a decimal is a NaN int decIsNaN(dec num);
num – decimal to test
returns 1 if num is a qNaN or an sNaN, 0 in all other cases. decIsNegative – test if a decimal is a number and negative int decIsNegative(dec num);
num – decimal to test
returns 1 if num is a number (finite or infinite) and negative (<0), 0 in all other cases. decIsPositive – test if a decimal is a number and positive int decIsPositive(dec num);
num – decimal to test
returns 1 if num is a number (finite or infinite) and positive (>0), 0 in all other cases. decIsQNaN – test if a decimal is a quiet NaN int decIsQNaN(dec num);
num – decimal to test
returns 1 if num is a qNaN, 0 in all other cases. decIsSigned – test if a decimal has a sign bit of 1 int decIsSigned(dec num);
num – decimal to test
returns 1 if the sign bit of num is 1, and 0 if it is not. This may be used to test the sign of a zero or a NaN. decIsSNaN – test if a decimal is signalling NaN int decIsSNaN(dec num);
num – decimal to test
returns 1 if num is an sNaN, 0 in all other cases. decIsSpecial – test if a decimal is a NaN or Infinity int decIsSpecial(dec num);
num – decimal to test
returns 1 if num is not a finite number, 0 in all other cases. decIsZero – test if a decimal is a number with value 0 int decIsZero(dec num);
num – decimal to test
returns 1 if num is a finite number with a value of 0, 0 in all other cases. This test is independent of the sign and exponent of num. decQuantize – round or extend a decimal to match another dec decQuantize(dec a, dec b);
a – decimal to be modified b – pattern to match
returns the decimal with the closest value to a which has the exponent of b If either value is a NaN then a quiet NaN is returned. If both are infinite, then a is returned. Otherwise, the returned value will have the same exponent as a; if this is not possible (not enough digits, or either a or b is infinite) then this is an error and a quiet NaN is returned. If rounding is needed then round half up is used. decSetCoeff – set the coefficient of a decimal from an int void decSetCoeff(dec *num, int coe);
num – target decimal coe – int to use to set the coefficient (0 .. 999999999) The coefficient of the decimal will be set; no checking is carried out so it must be in range. This does not set or change the sign or exponent of num. decSetExp – set the exponent of a decimal void decSetExp(dec *num, int exp);
num – target decimal exp – sign to be set (−1006 .. 991) The exponent of the decimal will be set; no checking is carried out so it must be in range. This does not set or change the sign or coefficient of num. decSetSign – set the sign of a decimal void decSetSign(dec *num, int sign);
num – target decimal sign – sign to be set (0 or 1) The sign of the decimal will be set to 0 if sign is 0, or 1 if sign has any other value. This does not set or change the coefficient or exponent of num. decToDouble – convert a decimal to a double void decToDouble(dec num, double *dub);
num – decimal to convert dub – double (IEEE 754 binary64) to receive an approximation of num Conventions vary for signalling NaNs, so all NaNs set dub to NAN. decToInt – convert a decimal to int int decToInt(dec num);
num – decimal to convert
returns int result with DECBADINT if error This converts the decimal number to an integer. Fractional parts of a finite number are discarded. If the result is too large to fit in a 32bit int, or is a special value, then DECBADINT is returned. decToString – decimal to string void decToString(dec num, char *str);
num – decimal to convert str – string to receive converted decimal (char[17] +) Converts the decimal to a string, using the conventions as recommended by IEEE 754 and specified by the General Decimal Arithmetic specification. For specials, the strings “NaN” and “Infinity” are used. The string is terminated by ‘\0’; up to 17 characters (including the terminator) might be needed. 
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