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authorNat Goodspeed <nat@lindenlab.com>2024-05-14 21:02:28 -0400
committerNat Goodspeed <nat@lindenlab.com>2024-05-14 21:02:28 -0400
commit094dcc07f8c1d90ae723dbe60eddacb90a09eae8 (patch)
treee750942e5f22ed677b543bd49509c2a7cdc5ce56 /indra/llmath/llquaternion.cpp
parentd4043d3b011c32eb503c43c551872f9c24d7344f (diff)
parent38c2a5bde985a6a8a96d912d432f8bdf7e5b60be (diff)
Merge DRTVWR-591-maint-X to main on promotion of secondlife/viewer #705: Maintenance X
Diffstat (limited to 'indra/llmath/llquaternion.cpp')
-rw-r--r--indra/llmath/llquaternion.cpp1226
1 files changed, 613 insertions, 613 deletions
diff --git a/indra/llmath/llquaternion.cpp b/indra/llmath/llquaternion.cpp
index 57a976b57a..ce0a88c26f 100644
--- a/indra/llmath/llquaternion.cpp
+++ b/indra/llmath/llquaternion.cpp
@@ -5,28 +5,28 @@
* $LicenseInfo:firstyear=2000&license=viewerlgpl$
* Second Life Viewer Source Code
* Copyright (C) 2010, Linden Research, Inc.
- *
+ *
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation;
* version 2.1 of the License only.
- *
+ *
* This library 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
* Lesser General Public License for more details.
- *
+ *
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
- *
+ *
* Linden Research, Inc., 945 Battery Street, San Francisco, CA 94111 USA
* $/LicenseInfo$
*/
#include "linden_common.h"
-#include "llmath.h" // for F_PI
+#include "llmath.h" // for F_PI
#include "llquaternion.h"
@@ -41,67 +41,67 @@
// WARNING: Don't use this for global const definitions! using this
// at the top of a *.cpp file might not give you what you think.
const LLQuaternion LLQuaternion::DEFAULT;
-
+
// Constructors
LLQuaternion::LLQuaternion(const LLMatrix4 &mat)
{
- *this = mat.quaternion();
- normalize();
+ *this = mat.quaternion();
+ normalize();
}
LLQuaternion::LLQuaternion(const LLMatrix3 &mat)
{
- *this = mat.quaternion();
- normalize();
+ *this = mat.quaternion();
+ normalize();
}
LLQuaternion::LLQuaternion(F32 angle, const LLVector4 &vec)
{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
}
LLQuaternion::LLQuaternion(F32 angle, const LLVector3 &vec)
{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
}
LLQuaternion::LLQuaternion(const LLVector3 &x_axis,
- const LLVector3 &y_axis,
- const LLVector3 &z_axis)
+ const LLVector3 &y_axis,
+ const LLVector3 &z_axis)
{
- LLMatrix3 mat;
- mat.setRows(x_axis, y_axis, z_axis);
- *this = mat.quaternion();
- normalize();
+ LLMatrix3 mat;
+ mat.setRows(x_axis, y_axis, z_axis);
+ *this = mat.quaternion();
+ normalize();
}
LLQuaternion::LLQuaternion(const LLSD &sd)
@@ -110,34 +110,34 @@ LLQuaternion::LLQuaternion(const LLSD &sd)
}
// Quatizations
-void LLQuaternion::quantize16(F32 lower, F32 upper)
+void LLQuaternion::quantize16(F32 lower, F32 upper)
{
- F32 x = mQ[VX];
- F32 y = mQ[VY];
- F32 z = mQ[VZ];
- F32 s = mQ[VS];
+ F32 x = mQ[VX];
+ F32 y = mQ[VY];
+ F32 z = mQ[VZ];
+ F32 s = mQ[VS];
- x = U16_to_F32(F32_to_U16_ROUND(x, lower, upper), lower, upper);
- y = U16_to_F32(F32_to_U16_ROUND(y, lower, upper), lower, upper);
- z = U16_to_F32(F32_to_U16_ROUND(z, lower, upper), lower, upper);
- s = U16_to_F32(F32_to_U16_ROUND(s, lower, upper), lower, upper);
+ x = U16_to_F32(F32_to_U16_ROUND(x, lower, upper), lower, upper);
+ y = U16_to_F32(F32_to_U16_ROUND(y, lower, upper), lower, upper);
+ z = U16_to_F32(F32_to_U16_ROUND(z, lower, upper), lower, upper);
+ s = U16_to_F32(F32_to_U16_ROUND(s, lower, upper), lower, upper);
- mQ[VX] = x;
- mQ[VY] = y;
- mQ[VZ] = z;
- mQ[VS] = s;
+ mQ[VX] = x;
+ mQ[VY] = y;
+ mQ[VZ] = z;
+ mQ[VS] = s;
- normalize();
+ normalize();
}
-void LLQuaternion::quantize8(F32 lower, F32 upper)
+void LLQuaternion::quantize8(F32 lower, F32 upper)
{
- mQ[VX] = U8_to_F32(F32_to_U8_ROUND(mQ[VX], lower, upper), lower, upper);
- mQ[VY] = U8_to_F32(F32_to_U8_ROUND(mQ[VY], lower, upper), lower, upper);
- mQ[VZ] = U8_to_F32(F32_to_U8_ROUND(mQ[VZ], lower, upper), lower, upper);
- mQ[VS] = U8_to_F32(F32_to_U8_ROUND(mQ[VS], lower, upper), lower, upper);
+ mQ[VX] = U8_to_F32(F32_to_U8_ROUND(mQ[VX], lower, upper), lower, upper);
+ mQ[VY] = U8_to_F32(F32_to_U8_ROUND(mQ[VY], lower, upper), lower, upper);
+ mQ[VZ] = U8_to_F32(F32_to_U8_ROUND(mQ[VZ], lower, upper), lower, upper);
+ mQ[VS] = U8_to_F32(F32_to_U8_ROUND(mQ[VS], lower, upper), lower, upper);
- normalize();
+ normalize();
}
// LLVector3 Magnitude and Normalization Functions
@@ -145,190 +145,190 @@ void LLQuaternion::quantize8(F32 lower, F32 upper)
// Set LLQuaternion routines
-const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, F32 x, F32 y, F32 z)
-{
- F32 mag = sqrtf(x * x + y * y + z * z);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = x * s;
- mQ[VY] = y * s;
- mQ[VZ] = z * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, const LLVector3 &vec)
-{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, const LLVector4 &vec)
-{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setEulerAngles(F32 roll, F32 pitch, F32 yaw)
-{
- LLMatrix3 rot_mat(roll, pitch, yaw);
- rot_mat.orthogonalize();
- *this = rot_mat.quaternion();
-
- normalize();
- return (*this);
+const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, F32 x, F32 y, F32 z)
+{
+ F32 mag = sqrtf(x * x + y * y + z * z);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = x * s;
+ mQ[VY] = y * s;
+ mQ[VZ] = z * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, const LLVector3 &vec)
+{
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setAngleAxis(F32 angle, const LLVector4 &vec)
+{
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setEulerAngles(F32 roll, F32 pitch, F32 yaw)
+{
+ LLMatrix3 rot_mat(roll, pitch, yaw);
+ rot_mat.orthogonalize();
+ *this = rot_mat.quaternion();
+
+ normalize();
+ return (*this);
}
// deprecated
-const LLQuaternion& LLQuaternion::set(const LLMatrix3 &mat)
+const LLQuaternion& LLQuaternion::set(const LLMatrix3 &mat)
{
- *this = mat.quaternion();
- normalize();
- return (*this);
+ *this = mat.quaternion();
+ normalize();
+ return (*this);
}
// deprecated
-const LLQuaternion& LLQuaternion::set(const LLMatrix4 &mat)
+const LLQuaternion& LLQuaternion::set(const LLMatrix4 &mat)
{
- *this = mat.quaternion();
- normalize();
- return (*this);
+ *this = mat.quaternion();
+ normalize();
+ return (*this);
}
// deprecated
-const LLQuaternion& LLQuaternion::setQuat(F32 angle, F32 x, F32 y, F32 z)
-{
- F32 mag = sqrtf(x * x + y * y + z * z);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = x * s;
- mQ[VY] = y * s;
- mQ[VZ] = z * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
+const LLQuaternion& LLQuaternion::setQuat(F32 angle, F32 x, F32 y, F32 z)
+{
+ F32 mag = sqrtf(x * x + y * y + z * z);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = x * s;
+ mQ[VY] = y * s;
+ mQ[VZ] = z * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
}
// deprecated
-const LLQuaternion& LLQuaternion::setQuat(F32 angle, const LLVector3 &vec)
-{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setQuat(F32 angle, const LLVector4 &vec)
-{
- F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
- if (mag > FP_MAG_THRESHOLD)
- {
- angle *= 0.5;
- F32 c = cosf(angle);
- F32 s = sinf(angle) / mag;
- mQ[VX] = vec.mV[VX] * s;
- mQ[VY] = vec.mV[VY] * s;
- mQ[VZ] = vec.mV[VZ] * s;
- mQ[VW] = c;
- }
- else
- {
- loadIdentity();
- }
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setQuat(F32 roll, F32 pitch, F32 yaw)
-{
- roll *= 0.5f;
- pitch *= 0.5f;
- yaw *= 0.5f;
- F32 sinX = sinf(roll);
- F32 cosX = cosf(roll);
- F32 sinY = sinf(pitch);
- F32 cosY = cosf(pitch);
- F32 sinZ = sinf(yaw);
- F32 cosZ = cosf(yaw);
- mQ[VW] = cosX * cosY * cosZ - sinX * sinY * sinZ;
- mQ[VX] = sinX * cosY * cosZ + cosX * sinY * sinZ;
- mQ[VY] = cosX * sinY * cosZ - sinX * cosY * sinZ;
- mQ[VZ] = cosX * cosY * sinZ + sinX * sinY * cosZ;
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setQuat(const LLMatrix3 &mat)
-{
- *this = mat.quaternion();
- normalize();
- return (*this);
-}
-
-const LLQuaternion& LLQuaternion::setQuat(const LLMatrix4 &mat)
-{
- *this = mat.quaternion();
- normalize();
- return (*this);
+const LLQuaternion& LLQuaternion::setQuat(F32 angle, const LLVector3 &vec)
+{
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setQuat(F32 angle, const LLVector4 &vec)
+{
+ F32 mag = sqrtf(vec.mV[VX] * vec.mV[VX] + vec.mV[VY] * vec.mV[VY] + vec.mV[VZ] * vec.mV[VZ]);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ angle *= 0.5;
+ F32 c = cosf(angle);
+ F32 s = sinf(angle) / mag;
+ mQ[VX] = vec.mV[VX] * s;
+ mQ[VY] = vec.mV[VY] * s;
+ mQ[VZ] = vec.mV[VZ] * s;
+ mQ[VW] = c;
+ }
+ else
+ {
+ loadIdentity();
+ }
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setQuat(F32 roll, F32 pitch, F32 yaw)
+{
+ roll *= 0.5f;
+ pitch *= 0.5f;
+ yaw *= 0.5f;
+ F32 sinX = sinf(roll);
+ F32 cosX = cosf(roll);
+ F32 sinY = sinf(pitch);
+ F32 cosY = cosf(pitch);
+ F32 sinZ = sinf(yaw);
+ F32 cosZ = cosf(yaw);
+ mQ[VW] = cosX * cosY * cosZ - sinX * sinY * sinZ;
+ mQ[VX] = sinX * cosY * cosZ + cosX * sinY * sinZ;
+ mQ[VY] = cosX * sinY * cosZ - sinX * cosY * sinZ;
+ mQ[VZ] = cosX * cosY * sinZ + sinX * sinY * cosZ;
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setQuat(const LLMatrix3 &mat)
+{
+ *this = mat.quaternion();
+ normalize();
+ return (*this);
+}
+
+const LLQuaternion& LLQuaternion::setQuat(const LLMatrix4 &mat)
+{
+ *this = mat.quaternion();
+ normalize();
+ return (*this);
//#if 1
-// // NOTE: LLQuaternion's are actually inverted with respect to
-// // the matrices, so this code also assumes inverted quaternions
-// // (-x, -y, -z, w). The result is that roll,pitch,yaw are applied
-// // in reverse order (yaw,pitch,roll).
-// F64 cosX = cos(roll);
+// // NOTE: LLQuaternion's are actually inverted with respect to
+// // the matrices, so this code also assumes inverted quaternions
+// // (-x, -y, -z, w). The result is that roll,pitch,yaw are applied
+// // in reverse order (yaw,pitch,roll).
+// F64 cosX = cos(roll);
// F64 cosY = cos(pitch);
// F64 cosZ = cos(yaw);
//
@@ -337,24 +337,24 @@ const LLQuaternion& LLQuaternion::setQuat(const LLMatrix4 &mat)
// F64 sinZ = sin(yaw);
//
// mQ[VW] = (F32)sqrt(cosY*cosZ - sinX*sinY*sinZ + cosX*cosZ + cosX*cosY + 1.0)*.5;
-// if (fabs(mQ[VW]) < F_APPROXIMATELY_ZERO)
-// {
-// // null rotation, any axis will do
-// mQ[VX] = 0.0f;
-// mQ[VY] = 1.0f;
-// mQ[VZ] = 0.0f;
-// }
-// else
-// {
-// F32 inv_s = 1.0f / (4.0f * mQ[VW]);
-// mQ[VX] = (F32)-(-sinX*cosY - cosX*sinY*sinZ - sinX*cosZ) * inv_s;
-// mQ[VY] = (F32)-(-cosX*sinY*cosZ + sinX*sinZ - sinY) * inv_s;
-// mQ[VZ] = (F32)-(-cosY*sinZ - sinX*sinY*cosZ - cosX*sinZ) * inv_s;
-// }
+// if (fabs(mQ[VW]) < F_APPROXIMATELY_ZERO)
+// {
+// // null rotation, any axis will do
+// mQ[VX] = 0.0f;
+// mQ[VY] = 1.0f;
+// mQ[VZ] = 0.0f;
+// }
+// else
+// {
+// F32 inv_s = 1.0f / (4.0f * mQ[VW]);
+// mQ[VX] = (F32)-(-sinX*cosY - cosX*sinY*sinZ - sinX*cosZ) * inv_s;
+// mQ[VY] = (F32)-(-cosX*sinY*cosZ + sinX*sinZ - sinY) * inv_s;
+// mQ[VZ] = (F32)-(-cosY*sinZ - sinX*sinY*cosZ - cosX*sinZ) * inv_s;
+// }
//
//#else // This only works on a certain subset of roll/pitch/yaw
-//
-// F64 cosX = cosf(roll/2.0);
+//
+// F64 cosX = cosf(roll/2.0);
// F64 cosY = cosf(pitch/2.0);
// F64 cosZ = cosf(yaw/2.0);
//
@@ -368,19 +368,19 @@ const LLQuaternion& LLQuaternion::setQuat(const LLMatrix4 &mat)
// mQ[VZ] = (F32)(cosX*cosY*sinZ - sinX*sinY*cosZ);
//#endif
//
-// normalize();
-// return (*this);
+// normalize();
+// return (*this);
}
// SJB: This code is correct for a logicly stored (non-transposed) matrix;
-// Our matrices are stored transposed, OpenGL style, so this generates the
-// INVERSE matrix, or the CORRECT matrix form an INVERSE quaternion.
-// Because we use similar logic in LLMatrix3::quaternion(),
-// we are internally consistant so everything works OK :)
-LLMatrix3 LLQuaternion::getMatrix3(void) const
+// Our matrices are stored transposed, OpenGL style, so this generates the
+// INVERSE matrix, or the CORRECT matrix form an INVERSE quaternion.
+// Because we use similar logic in LLMatrix3::quaternion(),
+// we are internally consistant so everything works OK :)
+LLMatrix3 LLQuaternion::getMatrix3(void) const
{
- LLMatrix3 mat;
- F32 xx, xy, xz, xw, yy, yz, yw, zz, zw;
+ LLMatrix3 mat;
+ F32 xx, xy, xz, xw, yy, yz, yw, zz, zw;
xx = mQ[VX] * mQ[VX];
xy = mQ[VX] * mQ[VY];
@@ -395,24 +395,24 @@ LLMatrix3 LLQuaternion::getMatrix3(void) const
zw = mQ[VZ] * mQ[VW];
mat.mMatrix[0][0] = 1.f - 2.f * ( yy + zz );
- mat.mMatrix[0][1] = 2.f * ( xy + zw );
- mat.mMatrix[0][2] = 2.f * ( xz - yw );
+ mat.mMatrix[0][1] = 2.f * ( xy + zw );
+ mat.mMatrix[0][2] = 2.f * ( xz - yw );
- mat.mMatrix[1][0] = 2.f * ( xy - zw );
+ mat.mMatrix[1][0] = 2.f * ( xy - zw );
mat.mMatrix[1][1] = 1.f - 2.f * ( xx + zz );
- mat.mMatrix[1][2] = 2.f * ( yz + xw );
+ mat.mMatrix[1][2] = 2.f * ( yz + xw );
- mat.mMatrix[2][0] = 2.f * ( xz + yw );
- mat.mMatrix[2][1] = 2.f * ( yz - xw );
+ mat.mMatrix[2][0] = 2.f * ( xz + yw );
+ mat.mMatrix[2][1] = 2.f * ( yz - xw );
mat.mMatrix[2][2] = 1.f - 2.f * ( xx + yy );
- return mat;
+ return mat;
}
-LLMatrix4 LLQuaternion::getMatrix4(void) const
+LLMatrix4 LLQuaternion::getMatrix4(void) const
{
- LLMatrix4 mat;
- F32 xx, xy, xz, xw, yy, yz, yw, zz, zw;
+ LLMatrix4 mat;
+ F32 xx, xy, xz, xw, yy, yz, yw, zz, zw;
xx = mQ[VX] * mQ[VX];
xy = mQ[VX] * mQ[VY];
@@ -427,20 +427,20 @@ LLMatrix4 LLQuaternion::getMatrix4(void) const
zw = mQ[VZ] * mQ[VW];
mat.mMatrix[0][0] = 1.f - 2.f * ( yy + zz );
- mat.mMatrix[0][1] = 2.f * ( xy + zw );
- mat.mMatrix[0][2] = 2.f * ( xz - yw );
+ mat.mMatrix[0][1] = 2.f * ( xy + zw );
+ mat.mMatrix[0][2] = 2.f * ( xz - yw );
- mat.mMatrix[1][0] = 2.f * ( xy - zw );
+ mat.mMatrix[1][0] = 2.f * ( xy - zw );
mat.mMatrix[1][1] = 1.f - 2.f * ( xx + zz );
- mat.mMatrix[1][2] = 2.f * ( yz + xw );
+ mat.mMatrix[1][2] = 2.f * ( yz + xw );
- mat.mMatrix[2][0] = 2.f * ( xz + yw );
- mat.mMatrix[2][1] = 2.f * ( yz - xw );
+ mat.mMatrix[2][0] = 2.f * ( xz + yw );
+ mat.mMatrix[2][1] = 2.f * ( yz - xw );
mat.mMatrix[2][2] = 1.f - 2.f * ( xx + yy );
- // TODO -- should we set the translation portion to zero?
+ // TODO -- should we set the translation portion to zero?
- return mat;
+ return mat;
}
@@ -452,110 +452,110 @@ LLMatrix4 LLQuaternion::getMatrix4(void) const
// calculate the shortest rotation from a to b
void LLQuaternion::shortestArc(const LLVector3 &a, const LLVector3 &b)
{
- F32 ab = a * b; // dotproduct
- LLVector3 c = a % b; // crossproduct
- F32 cc = c * c; // squared length of the crossproduct
- if (ab * ab + cc) // test if the arguments have sufficient magnitude
- {
- if (cc > 0.0f) // test if the arguments are (anti)parallel
- {
- F32 s = sqrtf(ab * ab + cc) + ab; // note: don't try to optimize this line
- F32 m = 1.0f / sqrtf(cc + s * s); // the inverted magnitude of the quaternion
- mQ[VX] = c.mV[VX] * m;
- mQ[VY] = c.mV[VY] * m;
- mQ[VZ] = c.mV[VZ] * m;
- mQ[VW] = s * m;
- return;
- }
- if (ab < 0.0f) // test if the angle is bigger than PI/2 (anti parallel)
- {
- c = a - b; // the arguments are anti-parallel, we have to choose an axis
- F32 m = sqrtf(c.mV[VX] * c.mV[VX] + c.mV[VY] * c.mV[VY]); // the length projected on the XY-plane
- if (m > FP_MAG_THRESHOLD)
- {
- mQ[VX] = -c.mV[VY] / m; // return the quaternion with the axis in the XY-plane
- mQ[VY] = c.mV[VX] / m;
- mQ[VZ] = 0.0f;
- mQ[VW] = 0.0f;
- return;
- }
- else // the vectors are parallel to the Z-axis
- {
- mQ[VX] = 1.0f; // rotate around the X-axis
- mQ[VY] = 0.0f;
- mQ[VZ] = 0.0f;
- mQ[VW] = 0.0f;
- return;
- }
- }
- }
- loadIdentity();
+ F32 ab = a * b; // dotproduct
+ LLVector3 c = a % b; // crossproduct
+ F32 cc = c * c; // squared length of the crossproduct
+ if (ab * ab + cc) // test if the arguments have sufficient magnitude
+ {
+ if (cc > 0.0f) // test if the arguments are (anti)parallel
+ {
+ F32 s = sqrtf(ab * ab + cc) + ab; // note: don't try to optimize this line
+ F32 m = 1.0f / sqrtf(cc + s * s); // the inverted magnitude of the quaternion
+ mQ[VX] = c.mV[VX] * m;
+ mQ[VY] = c.mV[VY] * m;
+ mQ[VZ] = c.mV[VZ] * m;
+ mQ[VW] = s * m;
+ return;
+ }
+ if (ab < 0.0f) // test if the angle is bigger than PI/2 (anti parallel)
+ {
+ c = a - b; // the arguments are anti-parallel, we have to choose an axis
+ F32 m = sqrtf(c.mV[VX] * c.mV[VX] + c.mV[VY] * c.mV[VY]); // the length projected on the XY-plane
+ if (m > FP_MAG_THRESHOLD)
+ {
+ mQ[VX] = -c.mV[VY] / m; // return the quaternion with the axis in the XY-plane
+ mQ[VY] = c.mV[VX] / m;
+ mQ[VZ] = 0.0f;
+ mQ[VW] = 0.0f;
+ return;
+ }
+ else // the vectors are parallel to the Z-axis
+ {
+ mQ[VX] = 1.0f; // rotate around the X-axis
+ mQ[VY] = 0.0f;
+ mQ[VZ] = 0.0f;
+ mQ[VW] = 0.0f;
+ return;
+ }
+ }
+ }
+ loadIdentity();
}
// constrains rotation to a cone angle specified in radians
const LLQuaternion &LLQuaternion::constrain(F32 radians)
{
- const F32 cos_angle_lim = cosf( radians/2 ); // mQ[VW] limit
- const F32 sin_angle_lim = sinf( radians/2 ); // rotation axis length limit
+ const F32 cos_angle_lim = cosf( radians/2 ); // mQ[VW] limit
+ const F32 sin_angle_lim = sinf( radians/2 ); // rotation axis length limit
- if (mQ[VW] < 0.f)
- {
- mQ[VX] *= -1.f;
- mQ[VY] *= -1.f;
- mQ[VZ] *= -1.f;
- mQ[VW] *= -1.f;
- }
+ if (mQ[VW] < 0.f)
+ {
+ mQ[VX] *= -1.f;
+ mQ[VY] *= -1.f;
+ mQ[VZ] *= -1.f;
+ mQ[VW] *= -1.f;
+ }
- // if rotation angle is greater than limit (cos is less than limit)
- if( mQ[VW] < cos_angle_lim )
- {
- mQ[VW] = cos_angle_lim;
- F32 axis_len = sqrtf( mQ[VX]*mQ[VX] + mQ[VY]*mQ[VY] + mQ[VZ]*mQ[VZ] ); // sin(theta/2)
- F32 axis_mult_fact = sin_angle_lim / axis_len;
- mQ[VX] *= axis_mult_fact;
- mQ[VY] *= axis_mult_fact;
- mQ[VZ] *= axis_mult_fact;
- }
+ // if rotation angle is greater than limit (cos is less than limit)
+ if( mQ[VW] < cos_angle_lim )
+ {
+ mQ[VW] = cos_angle_lim;
+ F32 axis_len = sqrtf( mQ[VX]*mQ[VX] + mQ[VY]*mQ[VY] + mQ[VZ]*mQ[VZ] ); // sin(theta/2)
+ F32 axis_mult_fact = sin_angle_lim / axis_len;
+ mQ[VX] *= axis_mult_fact;
+ mQ[VY] *= axis_mult_fact;
+ mQ[VZ] *= axis_mult_fact;
+ }
- return *this;
+ return *this;
}
// Operators
std::ostream& operator<<(std::ostream &s, const LLQuaternion &a)
{
- s << "{ "
- << a.mQ[VX] << ", " << a.mQ[VY] << ", " << a.mQ[VZ] << ", " << a.mQ[VW]
- << " }";
- return s;
+ s << "{ "
+ << a.mQ[VX] << ", " << a.mQ[VY] << ", " << a.mQ[VZ] << ", " << a.mQ[VW]
+ << " }";
+ return s;
}
// Does NOT renormalize the result
-LLQuaternion operator*(const LLQuaternion &a, const LLQuaternion &b)
+LLQuaternion operator*(const LLQuaternion &a, const LLQuaternion &b)
{
-// LLQuaternion::mMultCount++;
+// LLQuaternion::mMultCount++;
- LLQuaternion q(
- b.mQ[3] * a.mQ[0] + b.mQ[0] * a.mQ[3] + b.mQ[1] * a.mQ[2] - b.mQ[2] * a.mQ[1],
- b.mQ[3] * a.mQ[1] + b.mQ[1] * a.mQ[3] + b.mQ[2] * a.mQ[0] - b.mQ[0] * a.mQ[2],
- b.mQ[3] * a.mQ[2] + b.mQ[2] * a.mQ[3] + b.mQ[0] * a.mQ[1] - b.mQ[1] * a.mQ[0],
- b.mQ[3] * a.mQ[3] - b.mQ[0] * a.mQ[0] - b.mQ[1] * a.mQ[1] - b.mQ[2] * a.mQ[2]
- );
- return q;
+ LLQuaternion q(
+ b.mQ[3] * a.mQ[0] + b.mQ[0] * a.mQ[3] + b.mQ[1] * a.mQ[2] - b.mQ[2] * a.mQ[1],
+ b.mQ[3] * a.mQ[1] + b.mQ[1] * a.mQ[3] + b.mQ[2] * a.mQ[0] - b.mQ[0] * a.mQ[2],
+ b.mQ[3] * a.mQ[2] + b.mQ[2] * a.mQ[3] + b.mQ[0] * a.mQ[1] - b.mQ[1] * a.mQ[0],
+ b.mQ[3] * a.mQ[3] - b.mQ[0] * a.mQ[0] - b.mQ[1] * a.mQ[1] - b.mQ[2] * a.mQ[2]
+ );
+ return q;
}
/*
-LLMatrix4 operator*(const LLMatrix4 &m, const LLQuaternion &q)
+LLMatrix4 operator*(const LLMatrix4 &m, const LLQuaternion &q)
{
- LLMatrix4 qmat(q);
- return (m*qmat);
+ LLMatrix4 qmat(q);
+ return (m*qmat);
}
*/
-LLVector4 operator*(const LLVector4 &a, const LLQuaternion &rot)
+LLVector4 operator*(const LLVector4 &a, const LLQuaternion &rot)
{
F32 rw = - rot.mQ[VX] * a.mV[VX] - rot.mQ[VY] * a.mV[VY] - rot.mQ[VZ] * a.mV[VZ];
F32 rx = rot.mQ[VW] * a.mV[VX] + rot.mQ[VY] * a.mV[VZ] - rot.mQ[VZ] * a.mV[VY];
@@ -569,7 +569,7 @@ LLVector4 operator*(const LLVector4 &a, const LLQuaternion &rot)
return LLVector4(nx, ny, nz, a.mV[VW]);
}
-LLVector3 operator*(const LLVector3 &a, const LLQuaternion &rot)
+LLVector3 operator*(const LLVector3 &a, const LLQuaternion &rot)
{
F32 rw = - rot.mQ[VX] * a.mV[VX] - rot.mQ[VY] * a.mV[VY] - rot.mQ[VZ] * a.mV[VZ];
F32 rx = rot.mQ[VW] * a.mV[VX] + rot.mQ[VY] * a.mV[VZ] - rot.mQ[VZ] * a.mV[VY];
@@ -583,7 +583,7 @@ LLVector3 operator*(const LLVector3 &a, const LLQuaternion &rot)
return LLVector3(nx, ny, nz);
}
-LLVector3d operator*(const LLVector3d &a, const LLQuaternion &rot)
+LLVector3d operator*(const LLVector3d &a, const LLQuaternion &rot)
{
F64 rw = - rot.mQ[VX] * a.mdV[VX] - rot.mQ[VY] * a.mdV[VY] - rot.mQ[VZ] * a.mdV[VZ];
F64 rx = rot.mQ[VW] * a.mdV[VX] + rot.mQ[VY] * a.mdV[VZ] - rot.mQ[VZ] * a.mdV[VY];
@@ -599,10 +599,10 @@ LLVector3d operator*(const LLVector3d &a, const LLQuaternion &rot)
F32 dot(const LLQuaternion &a, const LLQuaternion &b)
{
- return a.mQ[VX] * b.mQ[VX] +
- a.mQ[VY] * b.mQ[VY] +
- a.mQ[VZ] * b.mQ[VZ] +
- a.mQ[VW] * b.mQ[VW];
+ return a.mQ[VX] * b.mQ[VX] +
+ a.mQ[VY] * b.mQ[VY] +
+ a.mQ[VZ] * b.mQ[VZ] +
+ a.mQ[VW] * b.mQ[VW];
}
// DEMO HACK: This lerp is probably inocrrect now due intermediate normalization
@@ -611,258 +611,258 @@ F32 dot(const LLQuaternion &a, const LLQuaternion &b)
// linear interpolation
LLQuaternion lerp(F32 t, const LLQuaternion &p, const LLQuaternion &q)
{
- LLQuaternion r;
- r = t * (q - p) + p;
- r.normalize();
- return r;
+ LLQuaternion r;
+ r = t * (q - p) + p;
+ r.normalize();
+ return r;
}
#endif
// lerp from identity to q
LLQuaternion lerp(F32 t, const LLQuaternion &q)
{
- LLQuaternion r;
- r.mQ[VX] = t * q.mQ[VX];
- r.mQ[VY] = t * q.mQ[VY];
- r.mQ[VZ] = t * q.mQ[VZ];
- r.mQ[VW] = t * (q.mQ[VZ] - 1.f) + 1.f;
- r.normalize();
- return r;
+ LLQuaternion r;
+ r.mQ[VX] = t * q.mQ[VX];
+ r.mQ[VY] = t * q.mQ[VY];
+ r.mQ[VZ] = t * q.mQ[VZ];
+ r.mQ[VW] = t * (q.mQ[VZ] - 1.f) + 1.f;
+ r.normalize();
+ return r;
}
LLQuaternion lerp(F32 t, const LLQuaternion &p, const LLQuaternion &q)
{
- LLQuaternion r;
- F32 inv_t;
+ LLQuaternion r;
+ F32 inv_t;
- inv_t = 1.f - t;
+ inv_t = 1.f - t;
- r.mQ[VX] = t * q.mQ[VX] + (inv_t * p.mQ[VX]);
- r.mQ[VY] = t * q.mQ[VY] + (inv_t * p.mQ[VY]);
- r.mQ[VZ] = t * q.mQ[VZ] + (inv_t * p.mQ[VZ]);
- r.mQ[VW] = t * q.mQ[VW] + (inv_t * p.mQ[VW]);
- r.normalize();
- return r;
+ r.mQ[VX] = t * q.mQ[VX] + (inv_t * p.mQ[VX]);
+ r.mQ[VY] = t * q.mQ[VY] + (inv_t * p.mQ[VY]);
+ r.mQ[VZ] = t * q.mQ[VZ] + (inv_t * p.mQ[VZ]);
+ r.mQ[VW] = t * q.mQ[VW] + (inv_t * p.mQ[VW]);
+ r.normalize();
+ return r;
}
// spherical linear interpolation
LLQuaternion slerp( F32 u, const LLQuaternion &a, const LLQuaternion &b )
{
- // cosine theta = dot product of a and b
- F32 cos_t = a.mQ[0]*b.mQ[0] + a.mQ[1]*b.mQ[1] + a.mQ[2]*b.mQ[2] + a.mQ[3]*b.mQ[3];
-
- // if b is on opposite hemisphere from a, use -a instead
- int bflip;
- if (cos_t < 0.0f)
- {
- cos_t = -cos_t;
- bflip = TRUE;
- }
- else
- bflip = FALSE;
-
- // if B is (within precision limits) the same as A,
- // just linear interpolate between A and B.
- F32 alpha; // interpolant
- F32 beta; // 1 - interpolant
- if (1.0f - cos_t < 0.00001f)
- {
- beta = 1.0f - u;
- alpha = u;
- }
- else
- {
- F32 theta = acosf(cos_t);
- F32 sin_t = sinf(theta);
- beta = sinf(theta - u*theta) / sin_t;
- alpha = sinf(u*theta) / sin_t;
- }
-
- if (bflip)
- beta = -beta;
-
- // interpolate
- LLQuaternion ret;
- ret.mQ[0] = beta*a.mQ[0] + alpha*b.mQ[0];
- ret.mQ[1] = beta*a.mQ[1] + alpha*b.mQ[1];
- ret.mQ[2] = beta*a.mQ[2] + alpha*b.mQ[2];
- ret.mQ[3] = beta*a.mQ[3] + alpha*b.mQ[3];
-
- return ret;
+ // cosine theta = dot product of a and b
+ F32 cos_t = a.mQ[0]*b.mQ[0] + a.mQ[1]*b.mQ[1] + a.mQ[2]*b.mQ[2] + a.mQ[3]*b.mQ[3];
+
+ // if b is on opposite hemisphere from a, use -a instead
+ int bflip;
+ if (cos_t < 0.0f)
+ {
+ cos_t = -cos_t;
+ bflip = TRUE;
+ }
+ else
+ bflip = FALSE;
+
+ // if B is (within precision limits) the same as A,
+ // just linear interpolate between A and B.
+ F32 alpha; // interpolant
+ F32 beta; // 1 - interpolant
+ if (1.0f - cos_t < 0.00001f)
+ {
+ beta = 1.0f - u;
+ alpha = u;
+ }
+ else
+ {
+ F32 theta = acosf(cos_t);
+ F32 sin_t = sinf(theta);
+ beta = sinf(theta - u*theta) / sin_t;
+ alpha = sinf(u*theta) / sin_t;
+ }
+
+ if (bflip)
+ beta = -beta;
+
+ // interpolate
+ LLQuaternion ret;
+ ret.mQ[0] = beta*a.mQ[0] + alpha*b.mQ[0];
+ ret.mQ[1] = beta*a.mQ[1] + alpha*b.mQ[1];
+ ret.mQ[2] = beta*a.mQ[2] + alpha*b.mQ[2];
+ ret.mQ[3] = beta*a.mQ[3] + alpha*b.mQ[3];
+
+ return ret;
}
// lerp whenever possible
LLQuaternion nlerp(F32 t, const LLQuaternion &a, const LLQuaternion &b)
{
- if (dot(a, b) < 0.f)
- {
- return slerp(t, a, b);
- }
- else
- {
- return lerp(t, a, b);
- }
+ if (dot(a, b) < 0.f)
+ {
+ return slerp(t, a, b);
+ }
+ else
+ {
+ return lerp(t, a, b);
+ }
}
LLQuaternion nlerp(F32 t, const LLQuaternion &q)
{
- if (q.mQ[VW] < 0.f)
- {
- return slerp(t, q);
- }
- else
- {
- return lerp(t, q);
- }
+ if (q.mQ[VW] < 0.f)
+ {
+ return slerp(t, q);
+ }
+ else
+ {
+ return lerp(t, q);
+ }
}
// slerp from identity quaternion to another quaternion
LLQuaternion slerp(F32 t, const LLQuaternion &q)
{
- F32 c = q.mQ[VW];
- if (1.0f == t || 1.0f == c)
- {
- // the trivial cases
- return q;
- }
+ F32 c = q.mQ[VW];
+ if (1.0f == t || 1.0f == c)
+ {
+ // the trivial cases
+ return q;
+ }
- LLQuaternion r;
- F32 s, angle, stq, stp;
+ LLQuaternion r;
+ F32 s, angle, stq, stp;
- s = (F32) sqrt(1.f - c*c);
+ s = (F32) sqrt(1.f - c*c);
if (c < 0.0f)
{
- // when c < 0.0 then theta > PI/2
- // since quat and -quat are the same rotation we invert one of
+ // when c < 0.0 then theta > PI/2
+ // since quat and -quat are the same rotation we invert one of
// p or q to reduce unecessary spins
- // A equivalent way to do it is to convert acos(c) as if it had
- // been negative, and to negate stp
- angle = (F32) acos(-c);
+ // A equivalent way to do it is to convert acos(c) as if it had
+ // been negative, and to negate stp
+ angle = (F32) acos(-c);
stp = -(F32) sin(angle * (1.f - t));
stq = (F32) sin(angle * t);
- }
+ }
else
{
- angle = (F32) acos(c);
+ angle = (F32) acos(c);
stp = (F32) sin(angle * (1.f - t));
stq = (F32) sin(angle * t);
}
- r.mQ[VX] = (q.mQ[VX] * stq) / s;
- r.mQ[VY] = (q.mQ[VY] * stq) / s;
- r.mQ[VZ] = (q.mQ[VZ] * stq) / s;
- r.mQ[VW] = (stp + q.mQ[VW] * stq) / s;
+ r.mQ[VX] = (q.mQ[VX] * stq) / s;
+ r.mQ[VY] = (q.mQ[VY] * stq) / s;
+ r.mQ[VZ] = (q.mQ[VZ] * stq) / s;
+ r.mQ[VW] = (stp + q.mQ[VW] * stq) / s;
- return r;
+ return r;
}
LLQuaternion mayaQ(F32 xRot, F32 yRot, F32 zRot, LLQuaternion::Order order)
{
- LLQuaternion xQ( xRot*DEG_TO_RAD, LLVector3(1.0f, 0.0f, 0.0f) );
- LLQuaternion yQ( yRot*DEG_TO_RAD, LLVector3(0.0f, 1.0f, 0.0f) );
- LLQuaternion zQ( zRot*DEG_TO_RAD, LLVector3(0.0f, 0.0f, 1.0f) );
- LLQuaternion ret;
- switch( order )
- {
- case LLQuaternion::XYZ:
- ret = xQ * yQ * zQ;
- break;
- case LLQuaternion::YZX:
- ret = yQ * zQ * xQ;
- break;
- case LLQuaternion::ZXY:
- ret = zQ * xQ * yQ;
- break;
- case LLQuaternion::XZY:
- ret = xQ * zQ * yQ;
- break;
- case LLQuaternion::YXZ:
- ret = yQ * xQ * zQ;
- break;
- case LLQuaternion::ZYX:
- ret = zQ * yQ * xQ;
- break;
- }
- return ret;
+ LLQuaternion xQ( xRot*DEG_TO_RAD, LLVector3(1.0f, 0.0f, 0.0f) );
+ LLQuaternion yQ( yRot*DEG_TO_RAD, LLVector3(0.0f, 1.0f, 0.0f) );
+ LLQuaternion zQ( zRot*DEG_TO_RAD, LLVector3(0.0f, 0.0f, 1.0f) );
+ LLQuaternion ret;
+ switch( order )
+ {
+ case LLQuaternion::XYZ:
+ ret = xQ * yQ * zQ;
+ break;
+ case LLQuaternion::YZX:
+ ret = yQ * zQ * xQ;
+ break;
+ case LLQuaternion::ZXY:
+ ret = zQ * xQ * yQ;
+ break;
+ case LLQuaternion::XZY:
+ ret = xQ * zQ * yQ;
+ break;
+ case LLQuaternion::YXZ:
+ ret = yQ * xQ * zQ;
+ break;
+ case LLQuaternion::ZYX:
+ ret = zQ * yQ * xQ;
+ break;
+ }
+ return ret;
}
const char *OrderToString( const LLQuaternion::Order order )
{
- const char *p = NULL;
- switch( order )
- {
- default:
- case LLQuaternion::XYZ:
- p = "XYZ";
- break;
- case LLQuaternion::YZX:
- p = "YZX";
- break;
- case LLQuaternion::ZXY:
- p = "ZXY";
- break;
- case LLQuaternion::XZY:
- p = "XZY";
- break;
- case LLQuaternion::YXZ:
- p = "YXZ";
- break;
- case LLQuaternion::ZYX:
- p = "ZYX";
- break;
- }
- return p;
+ const char *p = NULL;
+ switch( order )
+ {
+ default:
+ case LLQuaternion::XYZ:
+ p = "XYZ";
+ break;
+ case LLQuaternion::YZX:
+ p = "YZX";
+ break;
+ case LLQuaternion::ZXY:
+ p = "ZXY";
+ break;
+ case LLQuaternion::XZY:
+ p = "XZY";
+ break;
+ case LLQuaternion::YXZ:
+ p = "YXZ";
+ break;
+ case LLQuaternion::ZYX:
+ p = "ZYX";
+ break;
+ }
+ return p;
}
LLQuaternion::Order StringToOrder( const char *str )
{
- if (strncmp(str, "XYZ", 3)==0 || strncmp(str, "xyz", 3)==0)
- return LLQuaternion::XYZ;
+ if (strncmp(str, "XYZ", 3)==0 || strncmp(str, "xyz", 3)==0)
+ return LLQuaternion::XYZ;
- if (strncmp(str, "YZX", 3)==0 || strncmp(str, "yzx", 3)==0)
- return LLQuaternion::YZX;
+ if (strncmp(str, "YZX", 3)==0 || strncmp(str, "yzx", 3)==0)
+ return LLQuaternion::YZX;
- if (strncmp(str, "ZXY", 3)==0 || strncmp(str, "zxy", 3)==0)
- return LLQuaternion::ZXY;
+ if (strncmp(str, "ZXY", 3)==0 || strncmp(str, "zxy", 3)==0)
+ return LLQuaternion::ZXY;
- if (strncmp(str, "XZY", 3)==0 || strncmp(str, "xzy", 3)==0)
- return LLQuaternion::XZY;
+ if (strncmp(str, "XZY", 3)==0 || strncmp(str, "xzy", 3)==0)
+ return LLQuaternion::XZY;
- if (strncmp(str, "YXZ", 3)==0 || strncmp(str, "yxz", 3)==0)
- return LLQuaternion::YXZ;
+ if (strncmp(str, "YXZ", 3)==0 || strncmp(str, "yxz", 3)==0)
+ return LLQuaternion::YXZ;
- if (strncmp(str, "ZYX", 3)==0 || strncmp(str, "zyx", 3)==0)
- return LLQuaternion::ZYX;
+ if (strncmp(str, "ZYX", 3)==0 || strncmp(str, "zyx", 3)==0)
+ return LLQuaternion::ZYX;
- return LLQuaternion::XYZ;
+ return LLQuaternion::XYZ;
}
void LLQuaternion::getAngleAxis(F32* angle, LLVector3 &vec) const
{
- F32 v = sqrtf(mQ[VX] * mQ[VX] + mQ[VY] * mQ[VY] + mQ[VZ] * mQ[VZ]); // length of the vector-component
- if (v > FP_MAG_THRESHOLD)
- {
- F32 oomag = 1.0f / v;
- F32 w = mQ[VW];
- if (mQ[VW] < 0.0f)
- {
- w = -w; // make VW positive
- oomag = -oomag; // invert the axis
- }
- vec.mV[VX] = mQ[VX] * oomag; // normalize the axis
- vec.mV[VY] = mQ[VY] * oomag;
- vec.mV[VZ] = mQ[VZ] * oomag;
- *angle = 2.0f * atan2f(v, w); // get the angle
- }
- else
- {
- *angle = 0.0f; // no rotation
- vec.mV[VX] = 0.0f; // around some dummy axis
- vec.mV[VY] = 0.0f;
- vec.mV[VZ] = 1.0f;
- }
+ F32 v = sqrtf(mQ[VX] * mQ[VX] + mQ[VY] * mQ[VY] + mQ[VZ] * mQ[VZ]); // length of the vector-component
+ if (v > FP_MAG_THRESHOLD)
+ {
+ F32 oomag = 1.0f / v;
+ F32 w = mQ[VW];
+ if (mQ[VW] < 0.0f)
+ {
+ w = -w; // make VW positive
+ oomag = -oomag; // invert the axis
+ }
+ vec.mV[VX] = mQ[VX] * oomag; // normalize the axis
+ vec.mV[VY] = mQ[VY] * oomag;
+ vec.mV[VZ] = mQ[VZ] * oomag;
+ *angle = 2.0f * atan2f(v, w); // get the angle
+ }
+ else
+ {
+ *angle = 0.0f; // no rotation
+ vec.mV[VX] = 0.0f; // around some dummy axis
+ vec.mV[VY] = 0.0f;
+ vec.mV[VZ] = 1.0f;
+ }
}
const LLQuaternion& LLQuaternion::setFromAzimuthAndAltitude(F32 azimuthRadians, F32 altitudeRadians)
@@ -888,93 +888,93 @@ void LLQuaternion::getAzimuthAndAltitude(F32 &azimuthRadians, F32 &altitudeRadia
// quaternion does not need to be normalized
void LLQuaternion::getEulerAngles(F32 *roll, F32 *pitch, F32 *yaw) const
{
- F32 sx = 2 * (mQ[VX] * mQ[VW] - mQ[VY] * mQ[VZ]); // sine of the roll
- F32 sy = 2 * (mQ[VY] * mQ[VW] + mQ[VX] * mQ[VZ]); // sine of the pitch
- F32 ys = mQ[VW] * mQ[VW] - mQ[VY] * mQ[VY]; // intermediate cosine 1
- F32 xz = mQ[VX] * mQ[VX] - mQ[VZ] * mQ[VZ]; // intermediate cosine 2
- F32 cx = ys - xz; // cosine of the roll
- F32 cy = sqrtf(sx * sx + cx * cx); // cosine of the pitch
- if (cy > GIMBAL_THRESHOLD) // no gimbal lock
- {
- *roll = atan2f(sx, cx);
- *pitch = atan2f(sy, cy);
- *yaw = atan2f(2 * (mQ[VZ] * mQ[VW] - mQ[VX] * mQ[VY]), ys + xz);
- }
- else // gimbal lock
- {
- if (sy > 0)
- {
- *pitch = F_PI_BY_TWO;
- *yaw = 2 * atan2f(mQ[VZ] + mQ[VX], mQ[VW] + mQ[VY]);
- }
- else
- {
- *pitch = -F_PI_BY_TWO;
- *yaw = 2 * atan2f(mQ[VZ] - mQ[VX], mQ[VW] - mQ[VY]);
- }
- *roll = 0;
- }
+ F32 sx = 2 * (mQ[VX] * mQ[VW] - mQ[VY] * mQ[VZ]); // sine of the roll
+ F32 sy = 2 * (mQ[VY] * mQ[VW] + mQ[VX] * mQ[VZ]); // sine of the pitch
+ F32 ys = mQ[VW] * mQ[VW] - mQ[VY] * mQ[VY]; // intermediate cosine 1
+ F32 xz = mQ[VX] * mQ[VX] - mQ[VZ] * mQ[VZ]; // intermediate cosine 2
+ F32 cx = ys - xz; // cosine of the roll
+ F32 cy = sqrtf(sx * sx + cx * cx); // cosine of the pitch
+ if (cy > GIMBAL_THRESHOLD) // no gimbal lock
+ {
+ *roll = atan2f(sx, cx);
+ *pitch = atan2f(sy, cy);
+ *yaw = atan2f(2 * (mQ[VZ] * mQ[VW] - mQ[VX] * mQ[VY]), ys + xz);
+ }
+ else // gimbal lock
+ {
+ if (sy > 0)
+ {
+ *pitch = F_PI_BY_TWO;
+ *yaw = 2 * atan2f(mQ[VZ] + mQ[VX], mQ[VW] + mQ[VY]);
+ }
+ else
+ {
+ *pitch = -F_PI_BY_TWO;
+ *yaw = 2 * atan2f(mQ[VZ] - mQ[VX], mQ[VW] - mQ[VY]);
+ }
+ *roll = 0;
+ }
}
// Saves space by using the fact that our quaternions are normalized
LLVector3 LLQuaternion::packToVector3() const
{
- F32 x = mQ[VX];
- F32 y = mQ[VY];
- F32 z = mQ[VZ];
- F32 w = mQ[VW];
- F32 mag = sqrtf(x * x + y * y + z * z + w * w);
- if (mag > FP_MAG_THRESHOLD)
- {
- x /= mag;
- y /= mag;
- z /= mag; // no need to normalize w, it's not used
- }
- if( mQ[VW] >= 0 )
- {
- return LLVector3( x, y , z );
- }
- else
- {
- return LLVector3( -x, -y, -z );
- }
+ F32 x = mQ[VX];
+ F32 y = mQ[VY];
+ F32 z = mQ[VZ];
+ F32 w = mQ[VW];
+ F32 mag = sqrtf(x * x + y * y + z * z + w * w);
+ if (mag > FP_MAG_THRESHOLD)
+ {
+ x /= mag;
+ y /= mag;
+ z /= mag; // no need to normalize w, it's not used
+ }
+ if( mQ[VW] >= 0 )
+ {
+ return LLVector3( x, y , z );
+ }
+ else
+ {
+ return LLVector3( -x, -y, -z );
+ }
}
// Saves space by using the fact that our quaternions are normalized
void LLQuaternion::unpackFromVector3( const LLVector3& vec )
{
- mQ[VX] = vec.mV[VX];
- mQ[VY] = vec.mV[VY];
- mQ[VZ] = vec.mV[VZ];
- F32 t = 1.f - vec.magVecSquared();
- if( t > 0 )
- {
- mQ[VW] = sqrt( t );
- }
- else
- {
- // Need this to avoid trying to find the square root of a negative number due
- // to floating point error.
- mQ[VW] = 0;
- }
+ mQ[VX] = vec.mV[VX];
+ mQ[VY] = vec.mV[VY];
+ mQ[VZ] = vec.mV[VZ];
+ F32 t = 1.f - vec.magVecSquared();
+ if( t > 0 )
+ {
+ mQ[VW] = sqrt( t );
+ }
+ else
+ {
+ // Need this to avoid trying to find the square root of a negative number due
+ // to floating point error.
+ mQ[VW] = 0;
+ }
}
BOOL LLQuaternion::parseQuat(const std::string& buf, LLQuaternion* value)
{
- if( buf.empty() || value == NULL)
- {
- return FALSE;
- }
+ if( buf.empty() || value == NULL)
+ {
+ return FALSE;
+ }
- LLQuaternion quat;
- S32 count = sscanf( buf.c_str(), "%f %f %f %f", quat.mQ + 0, quat.mQ + 1, quat.mQ + 2, quat.mQ + 3 );
- if( 4 == count )
- {
- value->set( quat );
- return TRUE;
- }
+ LLQuaternion quat;
+ S32 count = sscanf( buf.c_str(), "%f %f %f %f", quat.mQ + 0, quat.mQ + 1, quat.mQ + 2, quat.mQ + 3 );
+ if( 4 == count )
+ {
+ value->set( quat );
+ return TRUE;
+ }
- return FALSE;
+ return FALSE;
}