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Use ideas from T. J. Dekker in "A Floating-Point Technique for Extending the
Available Precision" (1971-07-26) to enhance the accuracy of the SUM() aggregate function in cases where input magnitudes vary wildly. FossilOrigin-Name: 439fc00fee62b4db3751860485e21a99cae4fd1f5d911b2c08651a1466245ecc
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40
src/util.c
40
src/util.c
@@ -1750,3 +1750,43 @@ int sqlite3VListNameToNum(VList *pIn, const char *zName, int nName){
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|| defined(SQLITE_ENABLE_STMT_SCANSTATUS)
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# include "hwtime.h"
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#endif
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/***************************************************************************
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** Double-Double arithmetic.
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**
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** Reference:
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** T. J. Dekker, "A Floating-Point Technique for Extending the
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** Available Precision". 1971-07-26.
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*/
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/* Compute z = (i64)x */
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void sqlite3DDFromInt(i64 x, double *z){
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z[0] = (double)x;
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z[1] = (double)(x - (i64)z[0]);
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}
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/* Compute z = x + y */
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void sqlite3DDAdd(double x, double xx, double y, double yy, double *z){
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double r, s;
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r = x + y;
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if( fabs(x)>fabs(y) ){
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s = x - r + y + yy + xx;
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}else{
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s = y - r + x + xx + yy;
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}
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z[0] = r+s;
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z[1] = r - z[0] + s;
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}
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/* Compute z = x - y */
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void sqlite3DDSub(double x, double xx, double y, double yy, double *z){
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double r, s;
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r = x - y;
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if( fabs(x)>fabs(y) ){
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s = x - r - y - yy + xx;
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}else{
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s = -y - r + x + xx - yy;
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}
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z[0] = r+s;
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z[1] = r - z[0] + s;
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}
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