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math: remove *_WORD64 macros from libm.h
only fma used these macros and the explicit union is clearer
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@ -80,14 +80,6 @@ do { \
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(lo) = (uint32_t)__u.bits; \
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} while (0)
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/* Get a 64 bit int from a double. */
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#define EXTRACT_WORD64(i,d) \
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do { \
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union dshape __u; \
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__u.value = (d); \
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(i) = __u.bits; \
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} while (0)
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/* Get the more significant 32 bit int from a double. */
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#define GET_HIGH_WORD(i,d) \
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do { \
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@ -112,14 +104,6 @@ do { \
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(d) = __u.value; \
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} while (0)
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/* Set a double from a 64 bit int. */
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#define INSERT_WORD64(d,i) \
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do { \
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union dshape __u; \
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__u.bits = (i); \
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(d) = __u.value; \
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} while (0)
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/* Set the more significant 32 bits of a double from an int. */
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#define SET_HIGH_WORD(d,hi) \
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do { \
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@ -232,16 +232,16 @@ static inline struct dd dd_add(double a, double b)
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static inline double add_adjusted(double a, double b)
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{
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struct dd sum;
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uint64_t hibits, lobits;
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union {double f; uint64_t i;} uhi, ulo;
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sum = dd_add(a, b);
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if (sum.lo != 0) {
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EXTRACT_WORD64(hibits, sum.hi);
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if ((hibits & 1) == 0) {
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uhi.f = sum.hi;
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if ((uhi.i & 1) == 0) {
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/* hibits += (int)copysign(1.0, sum.hi * sum.lo) */
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EXTRACT_WORD64(lobits, sum.lo);
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hibits += 1 - ((hibits ^ lobits) >> 62);
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INSERT_WORD64(sum.hi, hibits);
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ulo.f = sum.lo;
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uhi.i += 1 - ((uhi.i ^ ulo.i) >> 62);
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sum.hi = uhi.f;
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}
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}
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return (sum.hi);
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@ -255,7 +255,7 @@ static inline double add_adjusted(double a, double b)
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static inline double add_and_denormalize(double a, double b, int scale)
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{
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struct dd sum;
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uint64_t hibits, lobits;
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union {double f; uint64_t i;} uhi, ulo;
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int bits_lost;
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sum = dd_add(a, b);
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@ -271,13 +271,13 @@ static inline double add_and_denormalize(double a, double b, int scale)
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* break the ties manually.
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*/
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if (sum.lo != 0) {
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EXTRACT_WORD64(hibits, sum.hi);
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bits_lost = -((int)(hibits >> 52) & 0x7ff) - scale + 1;
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if (bits_lost != 1 ^ (int)(hibits & 1)) {
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uhi.f = sum.hi;
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bits_lost = -((int)(uhi.i >> 52) & 0x7ff) - scale + 1;
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if (bits_lost != 1 ^ (int)(uhi.i & 1)) {
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/* hibits += (int)copysign(1.0, sum.hi * sum.lo) */
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EXTRACT_WORD64(lobits, sum.lo);
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hibits += 1 - (((hibits ^ lobits) >> 62) & 2);
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INSERT_WORD64(sum.hi, hibits);
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ulo.f = sum.lo;
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uhi.i += 1 - (((uhi.i ^ ulo.i) >> 62) & 2);
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sum.hi = uhi.f;
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}
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}
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return scalbn(sum.hi, scale);
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