#include "xmlrpc_config.h" #include #include #include #include #include "xmlrpc-c/util.h" #include "xmlrpc-c/util_int.h" #include "double.h" typedef struct { char * bytes; /* NULL means there has been a memory allocation failure. bufferConcat() still works in this case, because we dont' want callers to have to deal with the out-of-memory possibility; it's just a no-op. */ char * next; char * end; } buffer; static void bufferInit(buffer * const bufferP) { unsigned int const initialSize = 64; bufferP->bytes = malloc(initialSize); if (bufferP->bytes) { bufferP->next = bufferP->bytes; bufferP->end = bufferP->bytes + initialSize; } } static void bufferConcat(buffer * const bufferP, char const newChar) { if (bufferP->bytes) { if (bufferP->next >= bufferP->end) { size_t const oldSize = bufferP->end - bufferP->bytes; size_t const newSize = oldSize + 64; bufferP->bytes = realloc(bufferP->bytes, newSize); bufferP->next = bufferP->bytes + oldSize; bufferP->end = bufferP->bytes + newSize; } if (bufferP->bytes) *(bufferP->next++) = newChar; } } static char digitChar(unsigned int const digitValue) { assert(digitValue < 10); return '0' + digitValue; } static unsigned int leadDigit(double const arg, double const precision) { /*---------------------------------------------------------------------------- Assuming 'arg' has one digit before the decimal point (which may be zero), return that digit. We assume the precision of 'arg' is plus or minus 'precision', and bias our estimation of the first digit up. We do that bias in order to bias toward shorter decimal ciphers: It's cleaner to consider 2.9999999 to be 3 than to consider 3 to be 2.999999. -----------------------------------------------------------------------------*/ return MIN(9, (unsigned int)(arg + precision)); } static void floatWhole(double const value, buffer * const formattedP, double * const formattedAmountP, double * const precisionP) { /*---------------------------------------------------------------------------- Format into *formattedP the whole part of 'value', i.e. the part before the decimal point. 'value' is a finite number. Return as *formattedAmountP the whole amount; e.g. if 'value' is 35.2, we return *formattedAmountP = 35. As there is imprecision involved in our calculations, return as *precisionP the maximum difference there may be be between 'double' and what we formatted. -----------------------------------------------------------------------------*/ if (value < 1.0) { /* No digits to add to the whole part */ *formattedAmountP = 0; *precisionP = DBL_EPSILON; } else { double nonLeastAmount; double nonLeastPrecision; unsigned int leastValue; /* Add all digits but the least significant to *formattedP */ floatWhole(value/10.0, formattedP, &nonLeastAmount, &nonLeastPrecision); /* Add the least significant digit to *formattedP */ if (nonLeastPrecision > 0.1) { /* We're down in the noise now; no point in showing any more significant digits (and we couldn't if we wanted to, because nonLeastPrecision * 10 might be more than 10 less than 'value'). */ leastValue = 0; } else leastValue = leadDigit(value - nonLeastAmount * 10, nonLeastPrecision * 10); bufferConcat(formattedP, digitChar(leastValue)); *formattedAmountP = nonLeastAmount * 10 + leastValue; *precisionP = nonLeastPrecision * 10; } } static void floatFractionPart(double const value, double const wholePrecision, buffer * const formattedP) { /*---------------------------------------------------------------------------- Serialize the part that comes after the decimal point, assuming there is something (nonzero) before the decimal point that uses up all but 'wholePrecision' of the available precision. -----------------------------------------------------------------------------*/ double precision; double d; assert(value < 1.0); for (d = value, precision = wholePrecision; d > precision; precision *= 10) { unsigned int digitValue; d *= 10; digitValue = leadDigit(d, precision); d -= digitValue; assert(d < 1.0); bufferConcat(formattedP, digitChar(digitValue)); } } static void floatFraction(double const value, buffer * const formattedP) { /*---------------------------------------------------------------------------- Serialize the part that comes after the decimal point, assuming there is nothing before the decimal point. -----------------------------------------------------------------------------*/ double precision; double d; assert(0.0 < value && value < 1.0); /* Do the leading zeroes, which eat no precision */ for (d = value * 10; d < 1.0; d *= 10) bufferConcat(formattedP, '0'); /* Now the significant digits */ precision = DBL_EPSILON; while (d > precision) { unsigned int const digitValue = leadDigit(d, precision); bufferConcat(formattedP, digitChar(digitValue)); d -= digitValue; assert(d < 1.0); d *= 10; precision *= 10; } } static void floatUnsigned(double const value, buffer * const formattedP) { /*---------------------------------------------------------------------------- Serialize 'value', assuming it is positive, and append it to *formattedP, without a sign. -----------------------------------------------------------------------------*/ assert(value >= 0.0); if (value >= 1.0) { double wholePart; double wholePrecision; floatWhole(value, formattedP, &wholePart, &wholePrecision); if (wholePrecision >= 1.0) { /* We ran out of precision before we got to the decimal point */ } else { double const fractionPart = value - wholePart; if (fractionPart > wholePrecision) { bufferConcat(formattedP, '.'); floatFractionPart(fractionPart, wholePrecision, formattedP); } } } else { bufferConcat(formattedP, '0'); if (value > 0.0) { bufferConcat(formattedP, '.'); floatFraction(value, formattedP); } } } void xmlrpc_formatFloat(xmlrpc_env * const envP, double const value, const char ** const formattedP) { /*---------------------------------------------------------------------------- Format the value 'value' in XML-RPC - just the characters that represent the numbers - none of the XML markup. E.g. "1.234". Assume 'value' is finite, as there is no such thing as an infinite or NaN value in XML-RPC. -----------------------------------------------------------------------------*/ double absvalue; buffer formatted; assert(XMLRPC_FINITE(value)); bufferInit(&formatted); if (value < 0.0) { bufferConcat(&formatted, '-'); absvalue = - value; } else absvalue = value; floatUnsigned(absvalue, &formatted); bufferConcat(&formatted, '\0'); if (formatted.bytes == NULL) xmlrpc_faultf(envP, "Couldn't allocate memory to format %g", value); else *formattedP = formatted.bytes; }