diff options
Diffstat (limited to 'o3d/samples/o3djs/quaternions.js')
| -rw-r--r-- | o3d/samples/o3djs/quaternions.js | 116 |
1 files changed, 58 insertions, 58 deletions
diff --git a/o3d/samples/o3djs/quaternions.js b/o3d/samples/o3djs/quaternions.js index 73c099c..6d97e05 100644 --- a/o3d/samples/o3djs/quaternions.js +++ b/o3d/samples/o3djs/quaternions.js @@ -55,13 +55,13 @@ o3djs.quaternions = o3djs.quaternions || {}; * A Quaternion. * @type {!Array.<number>} */ -o3djs.quaternions.Quaterion = goog.typedef; +o3djs.quaternions.Quaternion = goog.typedef; /** * Quickly determines if the object a is a scalar or a quaternion; * assumes that the argument is either a number (scalar), or an array of * numbers. - * @param {(number|!o3djs.quaternions.Quaterion)} a A number or array the type + * @param {(number|!o3djs.quaternions.Quaternion)} a A number or array the type * of which is in question. * @return {string} Either the string 'Scalar' or 'Quaternion'. */ @@ -73,8 +73,8 @@ o3djs.quaternions.mathType = function(a) { /** * Copies a quaternion. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. - * @return {!o3djs.quaternions.Quaterion} A new quaternion identical to q. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. + * @return {!o3djs.quaternions.Quaternion} A new quaternion identical to q. */ o3djs.quaternions.copy = function(q) { return q.slice(); @@ -82,8 +82,8 @@ o3djs.quaternions.copy = function(q) { /** * Negates a quaternion. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. - * @return {!o3djs.quaternions.Quaterion} -q. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. + * @return {!o3djs.quaternions.Quaternion} -q. */ o3djs.quaternions.negative = function(q) { return [-q[0], -q[1], -q[2], -q[3]]; @@ -91,9 +91,9 @@ o3djs.quaternions.negative = function(q) { /** * Adds two Quaternions. - * @param {!o3djs.quaternions.Quaterion} a Operand Quaternion. - * @param {!o3djs.quaternions.Quaterion} b Operand Quaternion. - * @return {!o3djs.quaternions.Quaterion} The sum of a and b. + * @param {!o3djs.quaternions.Quaternion} a Operand Quaternion. + * @param {!o3djs.quaternions.Quaternion} b Operand Quaternion. + * @return {!o3djs.quaternions.Quaternion} The sum of a and b. */ o3djs.quaternions.addQuaternionQuaternion = function(a, b) { return [a[0] + b[0], @@ -104,9 +104,9 @@ o3djs.quaternions.addQuaternionQuaternion = function(a, b) { /** * Adds a quaternion to a scalar. - * @param {!o3djs.quaternions.Quaterion} a Operand Quaternion. + * @param {!o3djs.quaternions.Quaternion} a Operand Quaternion. * @param {number} b Operand Scalar. - * @return {!o3djs.quaternions.Quaterion} The sum of a and b. + * @return {!o3djs.quaternions.Quaternion} The sum of a and b. */ o3djs.quaternions.addQuaternionScalar = function(a, b) { return a.slice(0, 3).concat(a[3] + b); @@ -115,8 +115,8 @@ o3djs.quaternions.addQuaternionScalar = function(a, b) { /** * Adds a scalar to a quaternion. * @param {number} a Operand scalar. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The sum of a and b. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The sum of a and b. */ o3djs.quaternions.addScalarQuaternion = function(a, b) { return b.slice(0, 3).concat(a + b[3]); @@ -124,9 +124,9 @@ o3djs.quaternions.addScalarQuaternion = function(a, b) { /** * Subtracts two quaternions. - * @param {!o3djs.quaternions.Quaterion} a Operand quaternion. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The difference a - b. + * @param {!o3djs.quaternions.Quaternion} a Operand quaternion. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The difference a - b. */ o3djs.quaternions.subQuaternionQuaternion = function(a, b) { return [a[0] - b[0], @@ -137,9 +137,9 @@ o3djs.quaternions.subQuaternionQuaternion = function(a, b) { /** * Subtracts a scalar from a quaternion. - * @param {!o3djs.quaternions.Quaterion} a Operand quaternion. + * @param {!o3djs.quaternions.Quaternion} a Operand quaternion. * @param {number} b Operand scalar. - * @return {!o3djs.quaternions.Quaterion} The difference a - b. + * @return {!o3djs.quaternions.Quaternion} The difference a - b. */ o3djs.quaternions.subQuaternionScalar = function(a, b) { return a.slice(0, 3).concat(a[3] - b); @@ -148,8 +148,8 @@ o3djs.quaternions.subQuaternionScalar = function(a, b) { /** * Subtracts a quaternion from a scalar. * @param {number} a Operand scalar. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The difference a - b. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The difference a - b. */ o3djs.quaternions.subScalarQuaternion = function(a, b) { return [-b[0], -b[1], -b[2], a - b[3]]; @@ -167,9 +167,9 @@ o3djs.quaternions.mulScalarQuaternion = function(k, q) { /** * Multiplies a quaternion by a scalar. - * @param {!o3djs.quaternions.Quaterion} q The Quaternion. + * @param {!o3djs.quaternions.Quaternion} q The Quaternion. * @param {number} k The scalar. - * @return {!o3djs.quaternions.Quaterion} The product of k and v. + * @return {!o3djs.quaternions.Quaternion} The product of k and v. */ o3djs.quaternions.mulQuaternionScalar = function(q, k) { return [k * q[0], k * q[1], k * q[2], k * q[3]]; @@ -177,9 +177,9 @@ o3djs.quaternions.mulQuaternionScalar = function(q, k) { /** * Multiplies two quaternions. - * @param {!o3djs.quaternions.Quaterion} a Operand quaternion. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The quaternion product a * b. + * @param {!o3djs.quaternions.Quaternion} a Operand quaternion. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion product a * b. */ o3djs.quaternions.mulQuaternionQuaternion = function(a, b) { var aX = a[0]; @@ -200,9 +200,9 @@ o3djs.quaternions.mulQuaternionQuaternion = function(a, b) { /** * Divides two quaternions; assumes the convention that a/b = a*(1/b). - * @param {!o3djs.quaternions.Quaterion} a Operand quaternion. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The quaternion quotient a / b. + * @param {!o3djs.quaternions.Quaternion} a Operand quaternion. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion quotient a / b. */ o3djs.quaternions.divQuaternionQuaternion = function(a, b) { var aX = a[0]; @@ -224,9 +224,9 @@ o3djs.quaternions.divQuaternionQuaternion = function(a, b) { /** * Divides a Quaternion by a scalar. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. * @param {number} k The scalar. - * @return {!o3djs.quaternions.Quaterion} q The quaternion q divided by k. + * @return {!o3djs.quaternions.Quaternion} q The quaternion q divided by k. */ o3djs.quaternions.divQuaternionScalar = function(q, k) { return [q[0] / k, q[1] / k, q[2] / k, q[3] / k]; @@ -235,8 +235,8 @@ o3djs.quaternions.divQuaternionScalar = function(q, k) { /** * Divides a scalar by a quaternion. * @param {number} a Operand scalar. - * @param {!o3djs.quaternions.Quaterion} b Operand quaternion. - * @return {!o3djs.quaternions.Quaterion} The quaternion product. + * @param {!o3djs.quaternions.Quaternion} b Operand quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion product. */ o3djs.quaternions.divScalarQuaternion = function(a, b) { var b0 = b[0]; @@ -250,8 +250,8 @@ o3djs.quaternions.divScalarQuaternion = function(a, b) { /** * Computes the multiplicative inverse of a quaternion. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. - * @return {!o3djs.quaternions.Quaterion} The multiplicative inverse of q. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. + * @return {!o3djs.quaternions.Quaternion} The multiplicative inverse of q. */ o3djs.quaternions.inverse = function(q) { var q0 = q[0]; @@ -265,9 +265,9 @@ o3djs.quaternions.inverse = function(q) { /** * Multiplies two objects which are either scalars or quaternions. - * @param {(!o3djs.quaternions.Quaterion|number)} a Operand. - * @param {(!o3djs.quaternions.Quaterion|number)} b Operand. - * @return {(!o3djs.quaternions.Quaterion|number)} The product of a and b. + * @param {(!o3djs.quaternions.Quaternion|number)} a Operand. + * @param {(!o3djs.quaternions.Quaternion|number)} b Operand. + * @return {(!o3djs.quaternions.Quaternion|number)} The product of a and b. */ o3djs.quaternions.mul = function(a, b) { return o3djs.quaternions['mul' + o3djs.quaternions.mathType(a) + @@ -276,9 +276,9 @@ o3djs.quaternions.mul = function(a, b) { /** * Divides two objects which are either scalars or quaternions. - * @param {(!o3djs.quaternions.Quaterion|number)} a Operand. - * @param {(!o3djs.quaternions.Quaterion|number)} b Operand. - * @return {(!o3djs.quaternions.Quaterion|number)} The quotient of a and b. + * @param {(!o3djs.quaternions.Quaternion|number)} a Operand. + * @param {(!o3djs.quaternions.Quaternion|number)} b Operand. + * @return {(!o3djs.quaternions.Quaternion|number)} The quotient of a and b. */ o3djs.quaternions.div = function(a, b) { return o3djs.quaternions['div' + o3djs.quaternions.mathType(a) + @@ -287,9 +287,9 @@ o3djs.quaternions.div = function(a, b) { /** * Adds two objects which are either scalars or quaternions. - * @param {(!o3djs.quaternions.Quaterion|number)} a Operand. - * @param {(!o3djs.quaternions.Quaterion|number)} b Operand. - * @return {(!o3djs.quaternions.Quaterion|number)} The sum of a and b. + * @param {(!o3djs.quaternions.Quaternion|number)} a Operand. + * @param {(!o3djs.quaternions.Quaternion|number)} b Operand. + * @return {(!o3djs.quaternions.Quaternion|number)} The sum of a and b. */ o3djs.quaternions.add = function(a, b) { return o3djs.quaternions['add' + o3djs.quaternions.mathType(a) + @@ -298,9 +298,9 @@ o3djs.quaternions.add = function(a, b) { /** * Subtracts two objects which are either scalars or quaternions. - * @param {(!o3djs.quaternions.Quaterion|number)} a Operand. - * @param {(!o3djs.quaternions.Quaterion|number)} b Operand. - * @return {(!o3djs.quaternions.Quaterion|number)} The difference of a and b. + * @param {(!o3djs.quaternions.Quaternion|number)} a Operand. + * @param {(!o3djs.quaternions.Quaternion|number)} b Operand. + * @return {(!o3djs.quaternions.Quaternion|number)} The difference of a and b. */ o3djs.quaternions.sub = function(a, b) { return o3djs.quaternions['sub' + o3djs.quaternions.mathType(a) + @@ -310,7 +310,7 @@ o3djs.quaternions.sub = function(a, b) { /** * Computes the length of a Quaternion, i.e. the square root of the * sum of the squares of the coefficients. - * @param {!o3djs.quaternions.Quaterion} a The Quaternion. + * @param {!o3djs.quaternions.Quaternion} a The Quaternion. * @return {number} The length of a. */ o3djs.quaternions.length = function(a) { @@ -320,7 +320,7 @@ o3djs.quaternions.length = function(a) { /** * Computes the square of the length of a quaternion, i.e. the sum of the * squares of the coefficients. - * @param {!o3djs.quaternions.Quaterion} a The quaternion. + * @param {!o3djs.quaternions.Quaternion} a The quaternion. * @return {number} The square of the length of a. */ o3djs.quaternions.lengthSquared = function(a) { @@ -329,8 +329,8 @@ o3djs.quaternions.lengthSquared = function(a) { /** * Divides a Quaternion by its length and returns the quotient. - * @param {!o3djs.quaternions.Quaterion} a The Quaternion. - * @return {!o3djs.quaternions.Quaterion} A unit length quaternion pointing in + * @param {!o3djs.quaternions.Quaternion} a The Quaternion. + * @return {!o3djs.quaternions.Quaternion} A unit length quaternion pointing in * the same direction as a. */ o3djs.quaternions.normalize = function(a) { @@ -340,8 +340,8 @@ o3djs.quaternions.normalize = function(a) { /** * Computes the conjugate of the given quaternion. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. - * @return {!o3djs.quaternions.Quaterion} The conjugate of q. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. + * @return {!o3djs.quaternions.Quaternion} The conjugate of q. */ o3djs.quaternions.conjugate = function(q) { return [-q[0], -q[1], -q[2], q[3]]; @@ -351,7 +351,7 @@ o3djs.quaternions.conjugate = function(q) { /** * Creates a quaternion which rotates around the x-axis by the given angle. * @param {number} angle The angle by which to rotate (in radians). - * @return {!o3djs.quaternions.Quaterion} The quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion. */ o3djs.quaternions.rotationX = function(angle) { return [Math.sin(angle / 2), 0, 0, Math.cos(angle / 2)]; @@ -360,7 +360,7 @@ o3djs.quaternions.rotationX = function(angle) { /** * Creates a quaternion which rotates around the y-axis by the given angle. * @param {number} angle The angle by which to rotate (in radians). - * @return {!o3djs.quaternions.Quaterion} The quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion. */ o3djs.quaternions.rotationY = function(angle) { return [0, Math.sin(angle / 2), 0, Math.cos(angle / 2)]; @@ -369,7 +369,7 @@ o3djs.quaternions.rotationY = function(angle) { /** * Creates a quaternion which rotates around the z-axis by the given angle. * @param {number} angle The angle by which to rotate (in radians). - * @return {!o3djs.quaternions.Quaterion} The quaternion. + * @return {!o3djs.quaternions.Quaternion} The quaternion. */ o3djs.quaternions.rotationZ = function(angle) { return [0, 0, Math.sin(angle / 2), Math.cos(angle / 2)]; @@ -380,7 +380,7 @@ o3djs.quaternions.rotationZ = function(angle) { * angle. * @param {!o3djs.math.Vector3} axis The axis about which to rotate. * @param {number} angle The angle by which to rotate (in radians). - * @return {!o3djs.quaternions.Quaterion} A quaternion which rotates angle + * @return {!o3djs.quaternions.Quaternion} A quaternion which rotates angle * radians around the axis. */ o3djs.quaternions.axisRotation = function(axis, angle) { @@ -398,7 +398,7 @@ o3djs.quaternions.axisRotation = function(axis, angle) { * a quaternion r means to express that vector as a quaternion q by letting * q = [v[0], v[1], v[2], 0] and then obtain the rotated vector by evaluating * the expression (r * q) / r. - * @param {!o3djs.quaternions.Quaterion} q The quaternion. + * @param {!o3djs.quaternions.Quaternion} q The quaternion. * @return {!o3djs.math.Matrix4} A 4-by-4 rotation matrix. */ o3djs.quaternions.quaternionToRotation = function(q) { @@ -443,7 +443,7 @@ o3djs.quaternions.quaternionToRotation = function(q) { * Computes a quaternion whose rotation is equivalent to the given matrix. * @param {(!o3djs.math.Matrix4|!o3djs.math.Matrix3)} m A 3-by-3 or 4-by-4 * rotation matrix. - * @return {!o3djs.quaternions.Quaterion} A quaternion q such that + * @return {!o3djs.quaternions.Quaternion} A quaternion q such that * quaternions.quaternionToRotation(q) is m. */ o3djs.quaternions.rotationToQuaternion = function(m) { |