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Diffstat (limited to 'src/math/hypot.go')
-rw-r--r-- | src/math/hypot.go | 44 |
1 files changed, 44 insertions, 0 deletions
diff --git a/src/math/hypot.go b/src/math/hypot.go new file mode 100644 index 0000000..6ae70c1 --- /dev/null +++ b/src/math/hypot.go @@ -0,0 +1,44 @@ +// Copyright 2010 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package math + +/* + Hypot -- sqrt(p*p + q*q), but overflows only if the result does. +*/ + +// Hypot returns Sqrt(p*p + q*q), taking care to avoid +// unnecessary overflow and underflow. +// +// Special cases are: +// +// Hypot(±Inf, q) = +Inf +// Hypot(p, ±Inf) = +Inf +// Hypot(NaN, q) = NaN +// Hypot(p, NaN) = NaN +func Hypot(p, q float64) float64 { + if haveArchHypot { + return archHypot(p, q) + } + return hypot(p, q) +} + +func hypot(p, q float64) float64 { + p, q = Abs(p), Abs(q) + // special cases + switch { + case IsInf(p, 1) || IsInf(q, 1): + return Inf(1) + case IsNaN(p) || IsNaN(q): + return NaN() + } + if p < q { + p, q = q, p + } + if p == 0 { + return 0 + } + q = q / p + return p * Sqrt(1+q*q) +} |