fixed dependencies

vendor/gonum.org/v1/gonum/num/quat/exp.go

@@ -0,0 +1,84 @@
+// Copyright ©2018 The Gonum Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Copyright 2017 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 quat
+
+import "math"
+
+// Exp returns e**q, the base-e exponential of q.
+func Exp(q Number) Number {
+	w, uv := split(q)
+	if uv == zero {
+		return lift(math.Exp(w))
+	}
+	v := Abs(uv)
+	e := math.Exp(w)
+	s, c := math.Sincos(v)
+	return join(e*c, Scale(e*s/v, uv))
+}
+
+// Log returns the natural logarithm of q.
+func Log(q Number) Number {
+	w, uv := split(q)
+	if uv == zero {
+		return lift(math.Log(w))
+	}
+	v := Abs(uv)
+	return join(math.Log(Abs(q)), Scale(math.Atan2(v, w)/v, uv))
+}
+
+// Pow return q**r, the base-q exponential of r.
+// For generalized compatibility with math.Pow:
+//
+//	Pow(0, ±0) returns 1+0i+0j+0k
+//	Pow(0, c) for real(c)<0 returns Inf+0i+0j+0k if imag(c), jmag(c), kmag(c) are zero,
+//	    otherwise Inf+Inf i+Inf j+Inf k.
+func Pow(q, r Number) Number {
+	if q == zero {
+		w, uv := split(r)
+		switch {
+		case w == 0:
+			return Number{Real: 1}
+		case w < 0:
+			if uv == zero {
+				return Number{Real: math.Inf(1)}
+			}
+			return Inf()
+		case w > 0:
+			return zero
+		}
+	}
+	return Exp(Mul(Log(q), r))
+}
+
+// PowReal return q**r, the base-q exponential of r.
+// For generalized compatibility with math.Pow:
+//
+//	PowReal(0, ±0) returns 1+0i+0j+0k
+//	PowReal(0, c) for c<0 returns Inf+0i+0j+0k.
+func PowReal(q Number, r float64) Number {
+	if q == zero {
+		switch {
+		case r == 0:
+			return Number{Real: 1}
+		case r < 0:
+			return Inf()
+		case r > 0:
+			return zero
+		}
+	}
+	return Exp(Scale(r, Log(q)))
+}
+
+// Sqrt returns the square root of q.
+func Sqrt(q Number) Number {
+	if q == zero {
+		return zero
+	}
+	return PowReal(q, 0.5)
+}