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Unified Diff: fusl/src/math/hypot.c

Issue 1573973002: Add a "fork" of musl as //fusl. (Closed) Base URL: https://github.com/domokit/mojo.git@master
Patch Set: Created 4 years, 11 months ago
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Index: fusl/src/math/hypot.c
diff --git a/fusl/src/math/hypot.c b/fusl/src/math/hypot.c
new file mode 100644
index 0000000000000000000000000000000000000000..6071bf1e284f376f417dbab5bc306964a7491f3f
--- /dev/null
+++ b/fusl/src/math/hypot.c
@@ -0,0 +1,67 @@
+#include <math.h>
+#include <stdint.h>
+#include <float.h>
+
+#if FLT_EVAL_METHOD > 1U && LDBL_MANT_DIG == 64
+#define SPLIT (0x1p32 + 1)
+#else
+#define SPLIT (0x1p27 + 1)
+#endif
+
+static void sq(double_t *hi, double_t *lo, double x)
+{
+ double_t xh, xl, xc;
+
+ xc = (double_t)x*SPLIT;
+ xh = x - xc + xc;
+ xl = x - xh;
+ *hi = (double_t)x*x;
+ *lo = xh*xh - *hi + 2*xh*xl + xl*xl;
+}
+
+double hypot(double x, double y)
+{
+ union {double f; uint64_t i;} ux = {x}, uy = {y}, ut;
+ int ex, ey;
+ double_t hx, lx, hy, ly, z;
+
+ /* arrange |x| >= |y| */
+ ux.i &= -1ULL>>1;
+ uy.i &= -1ULL>>1;
+ if (ux.i < uy.i) {
+ ut = ux;
+ ux = uy;
+ uy = ut;
+ }
+
+ /* special cases */
+ ex = ux.i>>52;
+ ey = uy.i>>52;
+ x = ux.f;
+ y = uy.f;
+ /* note: hypot(inf,nan) == inf */
+ if (ey == 0x7ff)
+ return y;
+ if (ex == 0x7ff || uy.i == 0)
+ return x;
+ /* note: hypot(x,y) ~= x + y*y/x/2 with inexact for small y/x */
+ /* 64 difference is enough for ld80 double_t */
+ if (ex - ey > 64)
+ return x + y;
+
+ /* precise sqrt argument in nearest rounding mode without overflow */
+ /* xh*xh must not overflow and xl*xl must not underflow in sq */
+ z = 1;
+ if (ex > 0x3ff+510) {
+ z = 0x1p700;
+ x *= 0x1p-700;
+ y *= 0x1p-700;
+ } else if (ey < 0x3ff-450) {
+ z = 0x1p-700;
+ x *= 0x1p700;
+ y *= 0x1p700;
+ }
+ sq(&hx, &lx, x);
+ sq(&hy, &ly, y);
+ return z*sqrt(ly+lx+hy+hx);
+}
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