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math: use float_t and double_t in scalbnf and scalbn
remove STRICT_ASSIGN (c99 semantics is assumed) and use the conventional union to prepare the scaling factor (so libm.h is no longer needed)
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@ -1,29 +1,31 @@
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#include "libm.h"
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#include <math.h>
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#include <stdint.h>
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double scalbn(double x, int n)
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{
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double scale;
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union {double f; uint64_t i;} u;
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double_t y = x;
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if (n > 1023) {
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x *= 0x1p1023;
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y *= 0x1p1023;
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n -= 1023;
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if (n > 1023) {
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x *= 0x1p1023;
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y *= 0x1p1023;
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n -= 1023;
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if (n > 1023)
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n = 1023;
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}
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} else if (n < -1022) {
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x *= 0x1p-1022;
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y *= 0x1p-1022;
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n += 1022;
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if (n < -1022) {
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x *= 0x1p-1022;
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y *= 0x1p-1022;
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n += 1022;
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if (n < -1022)
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n = -1022;
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}
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}
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INSERT_WORDS(scale, (uint32_t)(0x3ff+n)<<20, 0);
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STRICT_ASSIGN(double, x, x * scale);
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u.i = (uint64_t)(0x3ff+n)<<52;
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x = y * u.f;
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return x;
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}
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@ -1,29 +1,31 @@
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#include "libm.h"
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#include <math.h>
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#include <stdint.h>
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float scalbnf(float x, int n)
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{
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float scale;
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union {float f; uint32_t i;} u;
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float_t y = x;
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if (n > 127) {
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x *= 0x1p127f;
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y *= 0x1p127f;
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n -= 127;
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if (n > 127) {
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x *= 0x1p127f;
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y *= 0x1p127f;
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n -= 127;
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if (n > 127)
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n = 127;
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}
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} else if (n < -126) {
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x *= 0x1p-126f;
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y *= 0x1p-126f;
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n += 126;
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if (n < -126) {
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x *= 0x1p-126f;
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y *= 0x1p-126f;
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n += 126;
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if (n < -126)
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n = -126;
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}
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}
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SET_FLOAT_WORD(scale, (uint32_t)(0x7f+n)<<23);
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STRICT_ASSIGN(float, x, x * scale);
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u.i = (uint32_t)(0x7f+n)<<23;
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x = y * u.f;
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return x;
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}
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