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-rw-r--r--libc-top-half/musl/src/math/exp2f.c69
1 files changed, 69 insertions, 0 deletions
diff --git a/libc-top-half/musl/src/math/exp2f.c b/libc-top-half/musl/src/math/exp2f.c
new file mode 100644
index 0000000..0360482
--- /dev/null
+++ b/libc-top-half/musl/src/math/exp2f.c
@@ -0,0 +1,69 @@
+/*
+ * Single-precision 2^x function.
+ *
+ * Copyright (c) 2017-2018, Arm Limited.
+ * SPDX-License-Identifier: MIT
+ */
+
+#include <math.h>
+#include <stdint.h>
+#include "libm.h"
+#include "exp2f_data.h"
+
+/*
+EXP2F_TABLE_BITS = 5
+EXP2F_POLY_ORDER = 3
+
+ULP error: 0.502 (nearest rounding.)
+Relative error: 1.69 * 2^-34 in [-1/64, 1/64] (before rounding.)
+Wrong count: 168353 (all nearest rounding wrong results with fma.)
+Non-nearest ULP error: 1 (rounded ULP error)
+*/
+
+#define N (1 << EXP2F_TABLE_BITS)
+#define T __exp2f_data.tab
+#define C __exp2f_data.poly
+#define SHIFT __exp2f_data.shift_scaled
+
+static inline uint32_t top12(float x)
+{
+ return asuint(x) >> 20;
+}
+
+float exp2f(float x)
+{
+ uint32_t abstop;
+ uint64_t ki, t;
+ double_t kd, xd, z, r, r2, y, s;
+
+ xd = (double_t)x;
+ abstop = top12(x) & 0x7ff;
+ if (predict_false(abstop >= top12(128.0f))) {
+ /* |x| >= 128 or x is nan. */
+ if (asuint(x) == asuint(-INFINITY))
+ return 0.0f;
+ if (abstop >= top12(INFINITY))
+ return x + x;
+ if (x > 0.0f)
+ return __math_oflowf(0);
+ if (x <= -150.0f)
+ return __math_uflowf(0);
+ }
+
+ /* x = k/N + r with r in [-1/(2N), 1/(2N)] and int k. */
+ kd = eval_as_double(xd + SHIFT);
+ ki = asuint64(kd);
+ kd -= SHIFT; /* k/N for int k. */
+ r = xd - kd;
+
+ /* exp2(x) = 2^(k/N) * 2^r ~= s * (C0*r^3 + C1*r^2 + C2*r + 1) */
+ t = T[ki % N];
+ t += ki << (52 - EXP2F_TABLE_BITS);
+ s = asdouble(t);
+ z = C[0] * r + C[1];
+ r2 = r * r;
+ y = C[2] * r + 1;
+ y = z * r2 + y;
+ y = y * s;
+ return eval_as_float(y);
+}