diff options
Diffstat (limited to 'src/util.c')
-rw-r--r-- | src/util.c | 207 |
1 files changed, 86 insertions, 121 deletions
diff --git a/src/util.c b/src/util.c index 0cebb474a..8e4fd516e 100644 --- a/src/util.c +++ b/src/util.c @@ -539,6 +539,8 @@ int sqlite3AtoF(const char *z, double *pResult, int length, u8 enc){ int eValid = 1; /* True exponent is either not used or is well-formed */ int nDigit = 0; /* Number of digits processed */ int eType = 1; /* 1: pure integer, 2+: fractional -1 or less: bad UTF16 */ + u64 s2; /* round-tripped significand */ + double rr[2]; assert( enc==SQLITE_UTF8 || enc==SQLITE_UTF16LE || enc==SQLITE_UTF16BE ); *pResult = 0.0; /* Default return value, in case of an error */ @@ -641,7 +643,7 @@ do_atof_calc: e = (e*esign) + d; /* Try to adjust the exponent to make it smaller */ - while( e>0 && s<(LARGEST_UINT64/10) ){ + while( e>0 && s<((LARGEST_UINT64-0x7ff)/10) ){ s *= 10; e--; } @@ -650,68 +652,52 @@ do_atof_calc: e++; } - if( e==0 ){ - *pResult = s; - }else if( sqlite3Config.bUseLongDouble ){ - LONGDOUBLE_TYPE r = (LONGDOUBLE_TYPE)s; - if( e>0 ){ - while( e>=100 ){ e-=100; r *= 1.0e+100L; } - while( e>=10 ){ e-=10; r *= 1.0e+10L; } - while( e>=1 ){ e-=1; r *= 1.0e+01L; } - }else{ - while( e<=-100 ){ e+=100; r *= 1.0e-100L; } - while( e<=-10 ){ e+=10; r *= 1.0e-10L; } - while( e<=-1 ){ e+=1; r *= 1.0e-01L; } - } - assert( r>=0.0 ); - if( r>+1.7976931348623157081452742373e+308L ){ -#ifdef INFINITY - *pResult = +INFINITY; -#else - *pResult = 1.0e308*10.0; + rr[0] = (double)s; + assert( sizeof(s2)==sizeof(rr[0]) ); +#ifdef SQLITE_DEBUG + rr[1] = 18446744073709549568.0; + memcpy(&s2, &rr[1], sizeof(s2)); + assert( s2==0x43efffffffffffffLL ); #endif - }else{ - *pResult = (double)r; - } - }else{ - double rr[2]; - u64 s2; - rr[0] = (double)s; + /* Largest double that can be safely converted to u64 + ** vvvvvvvvvvvvvvvvvvvvvv */ + if( rr[0]<=18446744073709549568.0 ){ s2 = (u64)rr[0]; -#if defined(_MSC_VER) && _MSC_VER<1700 - if( s2==0x8000000000000000LL ){ s2 = 2*(u64)(0.5*rr[0]); } -#endif rr[1] = s>=s2 ? (double)(s - s2) : -(double)(s2 - s); - if( e>0 ){ - while( e>=100 ){ - e -= 100; - dekkerMul2(rr, 1.0e+100, -1.5902891109759918046e+83); - } - while( e>=10 ){ - e -= 10; - dekkerMul2(rr, 1.0e+10, 0.0); - } - while( e>=1 ){ - e -= 1; - dekkerMul2(rr, 1.0e+01, 0.0); - } - }else{ - while( e<=-100 ){ - e += 100; - dekkerMul2(rr, 1.0e-100, -1.99918998026028836196e-117); - } - while( e<=-10 ){ - e += 10; - dekkerMul2(rr, 1.0e-10, -3.6432197315497741579e-27); - } - while( e<=-1 ){ - e += 1; - dekkerMul2(rr, 1.0e-01, -5.5511151231257827021e-18); - } + }else{ + rr[1] = 0.0; + } + assert( rr[1]<=1.0e-10*rr[0] ); /* Equal only when rr[0]==0.0 */ + + if( e>0 ){ + while( e>=100 ){ + e -= 100; + dekkerMul2(rr, 1.0e+100, -1.5902891109759918046e+83); + } + while( e>=10 ){ + e -= 10; + dekkerMul2(rr, 1.0e+10, 0.0); + } + while( e>=1 ){ + e -= 1; + dekkerMul2(rr, 1.0e+01, 0.0); + } + }else{ + while( e<=-100 ){ + e += 100; + dekkerMul2(rr, 1.0e-100, -1.99918998026028836196e-117); + } + while( e<=-10 ){ + e += 10; + dekkerMul2(rr, 1.0e-10, -3.6432197315497741579e-27); + } + while( e<=-1 ){ + e += 1; + dekkerMul2(rr, 1.0e-01, -5.5511151231257827021e-18); } - *pResult = rr[0]+rr[1]; - if( sqlite3IsNaN(*pResult) ) *pResult = 1e300*1e300; } + *pResult = rr[0]+rr[1]; + if( sqlite3IsNaN(*pResult) ) *pResult = 1e300*1e300; if( sign<0 ) *pResult = -*pResult; assert( !sqlite3IsNaN(*pResult) ); @@ -1032,9 +1018,10 @@ void sqlite3FpDecode(FpDecode *p, double r, int iRound, int mxRound){ int i; u64 v; int e, exp = 0; + double rr[2]; + p->isSpecial = 0; p->z = p->zBuf; - assert( mxRound>0 ); /* Convert negative numbers to positive. Deal with Infinity, 0.0, and @@ -1062,62 +1049,45 @@ void sqlite3FpDecode(FpDecode *p, double r, int iRound, int mxRound){ /* Multiply r by powers of ten until it lands somewhere in between ** 1.0e+19 and 1.0e+17. + ** + ** Use Dekker-style double-double computation to increase the + ** precision. + ** + ** The error terms on constants like 1.0e+100 computed using the + ** decimal extension, for example as follows: + ** + ** SELECT decimal_exp(decimal_sub('1.0e+100',decimal(1.0e+100))); */ - if( sqlite3Config.bUseLongDouble ){ - LONGDOUBLE_TYPE rr = r; - if( rr>=1.0e+19 ){ - while( rr>=1.0e+119L ){ exp+=100; rr *= 1.0e-100L; } - while( rr>=1.0e+29L ){ exp+=10; rr *= 1.0e-10L; } - while( rr>=1.0e+19L ){ exp++; rr *= 1.0e-1L; } - }else{ - while( rr<1.0e-97L ){ exp-=100; rr *= 1.0e+100L; } - while( rr<1.0e+07L ){ exp-=10; rr *= 1.0e+10L; } - while( rr<1.0e+17L ){ exp--; rr *= 1.0e+1L; } + rr[0] = r; + rr[1] = 0.0; + if( rr[0]>9.223372036854774784e+18 ){ + while( rr[0]>9.223372036854774784e+118 ){ + exp += 100; + dekkerMul2(rr, 1.0e-100, -1.99918998026028836196e-117); + } + while( rr[0]>9.223372036854774784e+28 ){ + exp += 10; + dekkerMul2(rr, 1.0e-10, -3.6432197315497741579e-27); + } + while( rr[0]>9.223372036854774784e+18 ){ + exp += 1; + dekkerMul2(rr, 1.0e-01, -5.5511151231257827021e-18); } - v = (u64)rr; }else{ - /* If high-precision floating point is not available using "long double", - ** then use Dekker-style double-double computation to increase the - ** precision. - ** - ** The error terms on constants like 1.0e+100 computed using the - ** decimal extension, for example as follows: - ** - ** SELECT decimal_exp(decimal_sub('1.0e+100',decimal(1.0e+100))); - */ - double rr[2]; - rr[0] = r; - rr[1] = 0.0; - if( rr[0]>9.223372036854774784e+18 ){ - while( rr[0]>9.223372036854774784e+118 ){ - exp += 100; - dekkerMul2(rr, 1.0e-100, -1.99918998026028836196e-117); - } - while( rr[0]>9.223372036854774784e+28 ){ - exp += 10; - dekkerMul2(rr, 1.0e-10, -3.6432197315497741579e-27); - } - while( rr[0]>9.223372036854774784e+18 ){ - exp += 1; - dekkerMul2(rr, 1.0e-01, -5.5511151231257827021e-18); - } - }else{ - while( rr[0]<9.223372036854774784e-83 ){ - exp -= 100; - dekkerMul2(rr, 1.0e+100, -1.5902891109759918046e+83); - } - while( rr[0]<9.223372036854774784e+07 ){ - exp -= 10; - dekkerMul2(rr, 1.0e+10, 0.0); - } - while( rr[0]<9.22337203685477478e+17 ){ - exp -= 1; - dekkerMul2(rr, 1.0e+01, 0.0); - } + while( rr[0]<9.223372036854774784e-83 ){ + exp -= 100; + dekkerMul2(rr, 1.0e+100, -1.5902891109759918046e+83); + } + while( rr[0]<9.223372036854774784e+07 ){ + exp -= 10; + dekkerMul2(rr, 1.0e+10, 0.0); + } + while( rr[0]<9.22337203685477478e+17 ){ + exp -= 1; + dekkerMul2(rr, 1.0e+01, 0.0); } - v = rr[1]<0.0 ? (u64)rr[0]-(u64)(-rr[1]) : (u64)rr[0]+(u64)rr[1]; } - + v = rr[1]<0.0 ? (u64)rr[0]-(u64)(-rr[1]) : (u64)rr[0]+(u64)rr[1]; /* Extract significant digits. */ i = sizeof(p->zBuf)-1; @@ -1160,7 +1130,11 @@ void sqlite3FpDecode(FpDecode *p, double r, int iRound, int mxRound){ } p->z = &p->zBuf[i+1]; assert( i+p->n < sizeof(p->zBuf) ); - while( ALWAYS(p->n>0) && p->z[p->n-1]=='0' ){ p->n--; } + assert( p->n>0 ); + while( p->z[p->n-1]=='0' ){ + p->n--; + assert( p->n>0 ); + } } /* @@ -1665,7 +1639,7 @@ int sqlite3MulInt64(i64 *pA, i64 iB){ } /* -** Compute the absolute value of a 32-bit signed integer, of possible. Or +** Compute the absolute value of a 32-bit signed integer, if possible. Or ** if the integer has a value of -2147483648, return +2147483647 */ int sqlite3AbsInt32(int x){ @@ -1887,12 +1861,3 @@ int sqlite3VListNameToNum(VList *pIn, const char *zName, int nName){ }while( i<mx ); return 0; } - -/* -** High-resolution hardware timer used for debugging and testing only. -*/ -#if defined(VDBE_PROFILE) \ - || defined(SQLITE_PERFORMANCE_TRACE) \ - || defined(SQLITE_ENABLE_STMT_SCANSTATUS) -# include "hwtime.h" -#endif |