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@@ -3,14 +3,15 @@
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/* acosh(x) = log(x + sqrt(x*x-1)) */
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float acoshf(float x)
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{
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- union {float f; int32_t i;} u = {.f = x};
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+ union {float f; uint32_t i;} u = {x};
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+ uint32_t a = u.i & 0x7fffffff;
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- if (u.i < 0x3f800000+(1<<23))
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- /* x < 2, invalid if x < 1 or nan */
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+ if (a < 0x3f800000+(1<<23))
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+ /* |x| < 2, invalid if x < 1 or nan */
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/* up to 2ulp error in [1,1.125] */
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return log1pf(x-1 + sqrtf((x-1)*(x-1)+2*(x-1)));
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- if (u.i < 0x3f800000+(12<<23))
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- /* x < 0x1p12 */
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+ if (a < 0x3f800000+(12<<23))
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+ /* |x| < 0x1p12 */
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return logf(2*x - 1/(x+sqrtf(x*x-1)));
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/* x >= 0x1p12 */
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return logf(x) + 0.693147180559945309417232121458176568f;
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