+++ /dev/null
-///////////////////////////////////////////////////////////////////////////
-//
-// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
-// Digital Ltd. LLC
-//
-// All rights reserved.
-//
-// Redistribution and use in source and binary forms, with or without
-// modification, are permitted provided that the following conditions are
-// met:
-// * Redistributions of source code must retain the above copyright
-// notice, this list of conditions and the following disclaimer.
-// * Redistributions in binary form must reproduce the above
-// copyright notice, this list of conditions and the following disclaimer
-// in the documentation and/or other materials provided with the
-// distribution.
-// * Neither the name of Industrial Light & Magic nor the names of
-// its contributors may be used to endorse or promote products derived
-// from this software without specific prior written permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
-// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
-// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
-// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
-// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
-// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-//
-///////////////////////////////////////////////////////////////////////////
-
-
-
-#ifndef INCLUDED_IMATHFUN_H
-#define INCLUDED_IMATHFUN_H
-
-//-----------------------------------------------------------------------------
-//
-// Miscellaneous utility functions
-//
-//-----------------------------------------------------------------------------
-
-#include "ImathLimits.h"
-
-namespace Imath {
-
-template <class T>
-inline T
-abs (T a)
-{
- return (a > 0) ? a : -a;
-}
-
-
-template <class T>
-inline int
-sign (T a)
-{
- return (a > 0)? 1 : ((a < 0) ? -1 : 0);
-}
-
-
-template <class T, class Q>
-inline T
-lerp (T a, T b, Q t)
-{
- return (T) (a + (b - a) * t);
-}
-
-
-template <class T, class Q>
-inline T
-ulerp (T a, T b, Q t)
-{
- return (T) ((a > b)? (a - (a - b) * t): (a + (b - a) * t));
-}
-
-
-template <class T>
-inline T
-lerpfactor(T m, T a, T b)
-{
- //
- // Return how far m is between a and b, that is return t such that
- // if:
- // t = lerpfactor(m, a, b);
- // then:
- // m = lerp(a, b, t);
- //
- // If a==b, return 0.
- //
-
- T d = b - a;
- T n = m - a;
-
- if (abs(d) > T(1) || abs(n) < limits<T>::max() * abs(d))
- return n / d;
-
- return T(0);
-}
-
-
-template <class T>
-inline T
-clamp (T a, T l, T h)
-{
- return (a < l)? l : ((a > h)? h : a);
-}
-
-
-template <class T>
-inline int
-cmp (T a, T b)
-{
- return Imath::sign (a - b);
-}
-
-
-template <class T>
-inline int
-cmpt (T a, T b, T t)
-{
- return (Imath::abs (a - b) <= t)? 0 : cmp (a, b);
-}
-
-
-template <class T>
-inline bool
-iszero (T a, T t)
-{
- return (Imath::abs (a) <= t) ? 1 : 0;
-}
-
-
-template <class T1, class T2, class T3>
-inline bool
-equal (T1 a, T2 b, T3 t)
-{
- return Imath::abs (a - b) <= t;
-}
-
-template <class T>
-inline int
-floor (T x)
-{
- return (x >= 0)? int (x): -(int (-x) + (-x > int (-x)));
-}
-
-
-template <class T>
-inline int
-ceil (T x)
-{
- return -floor (-x);
-}
-
-template <class T>
-inline int
-trunc (T x)
-{
- return (x >= 0) ? int(x) : -int(-x);
-}
-
-
-//
-// Integer division and remainder where the
-// remainder of x/y has the same sign as x:
-//
-// divs(x,y) == (abs(x) / abs(y)) * (sign(x) * sign(y))
-// mods(x,y) == x - y * divs(x,y)
-//
-
-inline int
-divs (int x, int y)
-{
- return (x >= 0)? ((y >= 0)? ( x / y): -( x / -y)):
- ((y >= 0)? -(-x / y): (-x / -y));
-}
-
-
-inline int
-mods (int x, int y)
-{
- return (x >= 0)? ((y >= 0)? ( x % y): ( x % -y)):
- ((y >= 0)? -(-x % y): -(-x % -y));
-}
-
-
-//
-// Integer division and remainder where the
-// remainder of x/y is always positive:
-//
-// divp(x,y) == floor (double(x) / double (y))
-// modp(x,y) == x - y * divp(x,y)
-//
-
-inline int
-divp (int x, int y)
-{
- return (x >= 0)? ((y >= 0)? ( x / y): -( x / -y)):
- ((y >= 0)? -((y-1-x) / y): ((-y-1-x) / -y));
-}
-
-
-inline int
-modp (int x, int y)
-{
- return x - y * divp (x, y);
-}
-
-//----------------------------------------------------------
-// Successor and predecessor for floating-point numbers:
-//
-// succf(f) returns float(f+e), where e is the smallest
-// positive number such that float(f+e) != f.
-//
-// predf(f) returns float(f-e), where e is the smallest
-// positive number such that float(f-e) != f.
-//
-// succd(d) returns double(d+e), where e is the smallest
-// positive number such that double(d+e) != d.
-//
-// predd(d) returns double(d-e), where e is the smallest
-// positive number such that double(d-e) != d.
-//
-// Exceptions: If the input value is an infinity or a nan,
-// succf(), predf(), succd(), and predd() all
-// return the input value without changing it.
-//
-//----------------------------------------------------------
-
-float succf (float f);
-float predf (float f);
-
-double succd (double d);
-double predd (double d);
-
-//
-// Return true if the number is not a NaN or Infinity.
-//
-
-inline bool
-finitef (float f)
-{
- union {float f; int i;} u;
- u.f = f;
-
- return (u.i & 0x7f800000) != 0x7f800000;
-}
-
-inline bool
-finited (double d)
-{
-#if ULONG_MAX == 18446744073709551615LU
- typedef long unsigned int Int64;
-#else
- typedef long long unsigned int Int64;
-#endif
-
- union {double d; Int64 i;} u;
- u.d = d;
-
- return (u.i & 0x7ff0000000000000LL) != 0x7ff0000000000000LL;
-}
-
-
-} // namespace Imath
-
-#endif