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Diffstat (limited to 'intern/moto/include/NM_Scalar.h')
-rw-r--r--intern/moto/include/NM_Scalar.h166
1 files changed, 166 insertions, 0 deletions
diff --git a/intern/moto/include/NM_Scalar.h b/intern/moto/include/NM_Scalar.h
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+++ b/intern/moto/include/NM_Scalar.h
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+/**
+ * $Id$
+ * ***** BEGIN GPL/BL DUAL LICENSE BLOCK *****
+ *
+ * This program is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2
+ * of the License, or (at your option) any later version. The Blender
+ * Foundation also sells licenses for use in proprietary software under
+ * the Blender License. See http://www.blender.org/BL/ for information
+ * about this.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software Foundation,
+ * Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
+ *
+ * The Original Code is Copyright (C) 2001-2002 by NaN Holding BV.
+ * All rights reserved.
+ *
+ * The Original Code is: all of this file.
+ *
+ * Contributor(s): none yet.
+ *
+ * ***** END GPL/BL DUAL LICENSE BLOCK *****
+ */
+
+#include <math.h>
+
+#include <iostream>
+
+template <class T>
+class NM_Scalar {
+public:
+ NM_Scalar() {}
+ explicit NM_Scalar(T value, T error = 0.0) :
+ m_value(value), m_error(error) {}
+
+ T getValue() const { return m_value; }
+ T getError() const { return m_error; }
+
+ operator T() const { return m_value; }
+
+ NM_Scalar operator-() const {
+ return NM_Scalar<T>(-m_value, m_error);
+ }
+
+ NM_Scalar& operator=(T value) {
+ m_value = value;
+ m_error = 0.0;
+ return *this;
+ }
+
+ NM_Scalar& operator+=(const NM_Scalar& x) {
+ m_value += x.m_value;
+ m_error = (fabs(m_value) * (m_error + 1.0) +
+ fabs(x.m_value) * (x.m_error + 1.0)) /
+ fabs(m_value + x.m_value);
+ return *this;
+ }
+
+ NM_Scalar& operator-=(const NM_Scalar& x) {
+ m_value -= x.m_value;
+ m_error = (fabs(m_value) * (m_error + 1.0) +
+ fabs(x.m_value) * (x.m_error + 1.0)) /
+ fabs(m_value - x.m_value);
+ return *this;
+ }
+
+ NM_Scalar& operator*=(const NM_Scalar& x) {
+ m_value *= x.m_value;
+ m_error += x.m_error + 1.0;
+ return *this;
+ }
+
+ NM_Scalar& operator/=(const NM_Scalar& x) {
+ m_value /= x.m_value;
+ m_error += x.m_error + 1.0;
+ return *this;
+ }
+
+private:
+ T m_value;
+ T m_error;
+};
+
+template <class T>
+inline NM_Scalar<T> operator+(const NM_Scalar<T>& x, const NM_Scalar<T>& y) {
+ return x.getValue() == 0.0 && y.getValue() == 0.0 ?
+ NM_Scalar<T>(0.0, 0.0) :
+ NM_Scalar<T>(x.getValue() + y.getValue(),
+ (fabs(x.getValue()) * (x.getError() + 1.0) +
+ fabs(y.getValue()) * (y.getError() + 1.0)) /
+ fabs(x.getValue() + y.getValue()));
+}
+
+template <class T>
+inline NM_Scalar<T> operator-(const NM_Scalar<T>& x, const NM_Scalar<T>& y) {
+ return x.getValue() == 0.0 && y.getValue() == 0.0 ?
+ NM_Scalar<T>(0.0, 0.0) :
+ NM_Scalar<T>(x.getValue() - y.getValue(),
+ (fabs(x.getValue()) * (x.getError() + 1.0) +
+ fabs(y.getValue()) * (y.getError() + 1.0)) /
+ fabs(x.getValue() - y.getValue()));
+}
+
+template <class T>
+inline NM_Scalar<T> operator*(const NM_Scalar<T>& x, const NM_Scalar<T>& y) {
+ return NM_Scalar<T>(x.getValue() * y.getValue(),
+ x.getError() + y.getError() + 1.0);
+}
+
+template <class T>
+inline NM_Scalar<T> operator/(const NM_Scalar<T>& x, const NM_Scalar<T>& y) {
+ return NM_Scalar<T>(x.getValue() / y.getValue(),
+ x.getError() + y.getError() + 1.0);
+}
+
+template <class T>
+inline std::ostream& operator<<(std::ostream& os, const NM_Scalar<T>& x) {
+ return os << x.getValue() << '[' << x.getError() << ']';
+}
+
+template <class T>
+inline NM_Scalar<T> sqrt(const NM_Scalar<T>& x) {
+ return NM_Scalar<T>(sqrt(x.getValue()),
+ 0.5 * x.getError() + 1.0);
+}
+
+template <class T>
+inline NM_Scalar<T> acos(const NM_Scalar<T>& x) {
+ return NM_Scalar<T>(acos(x.getValue()), x.getError() + 1.0);
+}
+
+template <class T>
+inline NM_Scalar<T> cos(const NM_Scalar<T>& x) {
+ return NM_Scalar<T>(cos(x.getValue()), x.getError() + 1.0);
+}
+
+template <class T>
+inline NM_Scalar<T> sin(const NM_Scalar<T>& x) {
+ return NM_Scalar<T>(sin(x.getValue()), x.getError() + 1.0);
+}
+
+template <class T>
+inline NM_Scalar<T> fabs(const NM_Scalar<T>& x) {
+ return NM_Scalar<T>(fabs(x.getValue()), x.getError());
+}
+
+template <class T>
+inline NM_Scalar<T> pow(const NM_Scalar<T>& x, const NM_Scalar<T>& y) {
+ return NM_Scalar<T>(pow(x.getValue(), y.getValue()),
+ fabs(y.getValue()) * x.getError() + 1.0);
+}
+
+
+
+
+
+
+
+