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When it is not found, a full rebuild will be done. +config: cb8dba3772bfdb9ab1a539e4daeb5bc2 +tags: fbb0d17656682115ca4d033fb2f83ba1 diff --git a/docs/_build/html/_sources/constants.txt b/docs/_build/html/_sources/constants.txt new file mode 100644 index 0000000..2511215 --- /dev/null +++ b/docs/_build/html/_sources/constants.txt @@ -0,0 +1,12 @@ +Constants +========= + +MathJS provides a few useful constants. + +.. js:data:: TAU + + Ratio of circumference to radius. There are TAU radians in a circle. + +.. js:data:: PI + + Ratio of circumference to diameter. There are 2*PI radians in a circle. \ No newline at end of file diff --git a/docs/_build/html/_sources/constants/overview.txt b/docs/_build/html/_sources/constants/overview.txt new file mode 100644 index 0000000..2511215 --- /dev/null +++ b/docs/_build/html/_sources/constants/overview.txt @@ -0,0 +1,12 @@ +Constants +========= + +MathJS provides a few useful constants. + +.. js:data:: TAU + + Ratio of circumference to radius. There are TAU radians in a circle. + +.. js:data:: PI + + Ratio of circumference to diameter. There are 2*PI radians in a circle. \ No newline at end of file diff --git a/docs/_build/html/_sources/conventions.txt b/docs/_build/html/_sources/conventions.txt new file mode 100644 index 0000000..e82c207 --- /dev/null +++ b/docs/_build/html/_sources/conventions.txt @@ -0,0 +1,14 @@ +Conventions +=========== + +Angles +------ + +Angles in MathJS are assumed to be in radians. If you are working in degrees, you will need to convert angles to radians before passing them into MathJS functions. + +Results +------- + +A function will have an optional ``result`` parameter if it expects to return a matrix. If you supply a matrix, the result will be stored there as well as being returned by the function. You will need to make sure that the matrix you supply is the correct size and dimension to accomodate the expected result. + +If you do not supply a matrix for the ``result`` parameter, a new matrix will be created and returned. \ No newline at end of file diff --git a/docs/_build/html/_sources/index.txt b/docs/_build/html/_sources/index.txt new file mode 100644 index 0000000..1332548 --- /dev/null +++ b/docs/_build/html/_sources/index.txt @@ -0,0 +1,21 @@ +.. Gladius documentation master file, created by + sphinx-quickstart on Sun Jun 10 18:42:56 2012. + You can adapt this file completely to your liking, but it should at least + contain the root `toctree` directive. + +MathJS documentation! +===================== + +MathJS is a math and geometry library for JavaScript. You will need a JS engine that supports Typed Arrays. + +.. toctree:: + :maxdepth: 1 + + conventions + types + operations + constants + +* :ref:`genindex` +* :ref:`search` + diff --git a/docs/_build/html/_sources/operations.txt b/docs/_build/html/_sources/operations.txt new file mode 100644 index 0000000..e4ceed0 --- /dev/null +++ b/docs/_build/html/_sources/operations.txt @@ -0,0 +1,516 @@ +Operations +========== + +.. js:function:: add(a1, a2[, result]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param Matrix result: result buffer + :returns: result + + Adds two buffers of the same size. + +.. js:function:: subtract(a1, a2[, result]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param Matrix result: result buffer + :returns: result + + Subtracts two buffers of the same size. + +.. js:function:: scale(a, s[, result]) + + :param Matrix a: buffer + :param number s: scalar + :param Matrix result: result + :returns: result + + Scales a buffer by multiplying each component by a scalar. + +.. js:function:: equal(a1, a2[, e]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param number e: comparision tolerance, defaults to ``10E-5`` + :returns: true if operands are equal (within tolerance), false otherwise + + Compares two buffers component-wise for equality. Differences smaller than ``e`` are ignored. + +.. js:function:: clone(a[, result]) + + :param Matrix a: buffer + :param Matrix result: result buffer + + Creates a component-wise copy of a buffer. + +.. js:function:: clear(a[, s]) + + :param Matrix a: buffer + :param number s: scalar, defaults to 0 + + Clears a buffer by writing a scalar into each component. + +.. js:function:: clamp(s, min, max) + + :param number s: scalar + :param number min: minimum value + :param number max: maximum value + :returns: ``s`` restricted inside range of ``min`` to ``max`` + +.. js:function:: toRadians(angle) + + :param number angle: angle in degrees + :returns: angle in radians + +.. js:function:: toDegrees(angle) + + :param number angle: angle in radians + :returns: angle in degrees + +.. js:function:: toMathML(a) + + :param Matrix a: buffer + + Converts a buffer to MathML representation. + +.. js:function:: toString(a) + + :param Matrix a: buffer + + Converts a buffer to string representation. + +Vector +------ + +.. js:function:: set(v, values) + + :param Vector v: vector + :param Array values: array of values + :returns: ``v`` + +.. js:function:: length(v) + + :param Vector v: vector + :returns: length of ``v`` + +.. js:function:: length2(v) + + :param Vector v: vector + :returns: squared length of ``v`` + +.. js:function:: dot(v1, v2) + + :param Vector v1: first vector + :param Vector v2: second vector + :returns: inner product of ``v1`` and ``v2`` + +.. js:function:: negate(v[, result]) + + :param Vector v: vector + :param Vector result: result + :returns: negation of ``v`` + +.. js:function:: limit(v, s[, result]) + + :param Vector v: vector + :param number s: scalar limit + :returns: ``v`` resized to have length at most ``s`` + +.. js:function:: normalize(v[, result]) + + :param Vector v: vector + :param Vector result: result + :returns: a unit vector in the direction of ``v`` + +.. js:function:: distance(v1, v2) + + :param Vector v1: origin vector + :param Vector v2: target vector + :returns: the distance from v1 to v2 + +.. js:function:: angle(v1, v2) + + :param Vector v1: first vector + :param Vector v2: second vector + :returns: the angle betwen ``v1`` and ``v2`` + +.. js:function:: lerp(v1, v2, s[, result]) + + :param Vector v1: origin vector + :param Vector v2: target vector + :param number s: interpolation scalar + :param Vector result: result + :returns: interpolation from ``v1`` to ``v2`` by s + +.. js:function:: direction(v1, v2[, result]) + + :param Vector v1: origin vector + :param Vector v2: target vector + :param Vector result: result + :returns: unit vector pointing from ``v1`` to ``v2`` + +.. js:function:: extract(v, offset, length[, result]) + + :param Vector v: vector + :param number offset: offset from the start ov ``v`` + :param number length: number of elements to extract + :param Vector result: result + :returns: ``length`` elements of ``v``, starting from ``offset`` + +.. js:function:: zero(v) + + :param Vector v: vector + :returns: ``v`` with all components 0 + +.. js:function:: zero(d) + + :param number d: dimension + :returns: a new ``Vector`` with all components 0 + +.. js:function:: one(v) + + :param Vector v: vector + :returns: ``v`` with all components 1 + +.. js:function:: one(d) + + :param number d: dimension + :returns: a new ``Vector`` with all components 1 + +Vector2 +------- + +.. js:function:: transformPoint(t, v[, result]) + + :param Transform t: 2-dimensional transform + :param Vector v: vector + :param Vector result: result + :returns: ``v`` transformed by ``t`` + +.. js:function:: transformDirection(t, v[, result]) + + :param Transform t: 2-dimensional transform + :param Vector v: vector + :param Vector result: result + :returns: ``v`` transformed by the linear part of ``t`` + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 2-dimensional y unit vector (1, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 2-dimensional y unit vector (0, 1) + +.. js:function:: u([result]) + + :param Vector result: result + :returns: 2-dimensional u unit vector (1, 0) + +.. js:function:: v([result]) + + :param Vector result: result + :returns: 2-dimensional v unit vector (0, 1) + +Vector3 +------- + +.. js:function:: transformPoint(t, v[, result]) + + :param Transform t: 3-dimensional transform + :param Vector v: vector + :param Vector result: result + :returns: ``v`` transformed by ``t`` + +.. js:function:: transformDirection(t, v[, result]) + + :param Transform t: 3-dimensional transform + :param Vector v: vector + :param Vector result: result + :returns: ``v`` transformed by the linear part of ``t`` + +.. js:function:: cross(v1, v2[, result]) + + :param Vector v1: first vector + :param Vector v2: second vector + :param Vector result: result + :returns: outer product of ``v1`` and ``v2`` + +.. js:function:: unproject(v, view, projection, viewport[, result]) + + .. note:: Not yet implemented + + :param Vector v: screen space vector + :param Matrix view: view matrix + :param Matrix projection: projection matrix + :param Array viewport: viewport parameters, as ``[x, y, width, height]`` + :param Vector result: result + :returns: vector projected from screen space to object space + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 3-dimensional y unit vector (1, 0, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 3-dimensional y unit vector (0, 1, 0) + +.. js:function:: z([result]) + + :param Vector result: result + :returns: 3-dimensional z unit vector (0, 0, 1) + +Vector4 +-------- + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 4-dimensional y unit vector (1, 0, 0, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 4-dimensional y unit vector (0, 1, 0, 0) + +.. js:function:: z([result]) + + :param Vector result: result + :returns: 4-dimensional z unit vector (0, 0, 1, 0) + +.. js:function:: w([result]) + + :param Vector result: result + :returns: 4-dimensional w unit vector (0, 0, 0, 1) + +Quaternion +---------- + +.. js:function:: inverse(q[, result]) + + :param Quaternion q: quaternion + :param Quaternion result: result + :returns: inverse of ``q`` + +.. js:function:: conjugate(q[, result]) + + :param Quaternion q: quaternion + :param Quaternion result: result + :returns: conjugate of ``q`` + +.. js:function:: identity([result]) + + :param Quaternion result: result + :returns: the identity quaternion (0, 0, 0, 1) + +.. js:function:: slerp(q1, q2, s[, result]) + + :param Quaternion q1: origin quaternion + :param Quaternion q2: target quaternion + :param number s: interpolation scalar + :param Quaternion result: result + :returns: spherical linear interpolation between ``q1`` and ``q2`` + +.. js:function:: rotation(v1, v2[, result]) + + .. note:: Not yet implemented + + :param Vector v1: origin vector + :param Vector v2: target vector + :param Quaternion result: result + :returns: quaternion of rotation between two 3-dimensional vectors + +.. js:function:: toAxisAngle(q[, result]) + + :param Quaternion q: quaternion + :param Vector result: result + :returns: axis-angle representated as a 3-dimensional vector + +.. js:function:: fromAxisAngle(v[, result]) + + :param Vector v: vector + :param Quaternion result: result + :returns: quaternion computed from axis-angle as a 3-dimensional vector + +Matrix +------ + +.. js:function:: multiply(m1, m2[, result]) + + :param Matrix m1: first matrix + :param Matrix m2: second matrix + :param Matrix result: result + :returns: the matrix product of ``m1`` with ``m2`` + +.. js:function:: inverse(m[, result]) + + .. note:: Valid for square matrices only + + :param Matrix m: square matrix + :param Matrix result: result + :returns: inverse of ``m`` + +.. js:function:: transpose(m[, result]) + + .. note:: Implemented for square matrices only + + :param Matrix m: matrix + :param Matrix result: result + :returns: transpose of ``m`` + +.. js:function:: identity(m) + + .. note:: Valid for square matrices only + + :param Matrix m: square matrix + :returns: identity matrix + +.. js:function:: identity(d) + + :param number d: dimension + :returns: identity matrix of dimension ``d`` + +.. js:function:: extract(m, rowOffset, columnOffset, rows, columns[, result]) + + .. note:: Not yet implemented + + :param Matrix m: matrix + :param number rowOffset: starting row + :param number columnOffset: starting column + :param number rows: number of rows to extract + :param number columns: number of columns to extract + :param Matrix result: result + :returns: sub-matrix of ``m`` + +Matrix2 +------- + +.. js:function:: multiply(m1, m2[, result]) + + .. note:: Optimized + + :param Matrix m1: first square matrix + :param Matrix m2: second square matrix + :param Matrix result: result + :returns: the matrix product of ``m1`` with ``m2`` + +.. js:function:: toAngle(m) + + :param Matrix m: rotation matrix + :returns: angle in radians + +.. js:function:: fromAngle(angle[, result]) + + :param number angle: angle in radians + :param Matrix result: result + :returns: 2-dimensional rotation matrix + +Matrix3 +------- + +.. js:function:: multiply(m1, m2[, result]) + + .. note:: Optimized + + :param Matrix m1: first square matrix + :param Matrix m2: second square matrix + :param Matrix result: result + :returns: the matrix product of ``m1`` with ``m2`` + +.. js:function:: toQuaternion(m[, result]) + + .. note:: Not yet implemented + + :param Matrix m: rotation matrix + :param Quaternion result: result + :returns: quaternion rotation + +.. js:function:: fromQuaternion(q[, result]) + + .. note:: Not yet implemented + + :param Quaternion q: quaternion + :param Matrix result: matrix + :returns: rotation matrix + +.. js:function:: toAxisAngle(m[, result]) + + .. note:: Not yet implemented + + :param Matrix m: matrix + :param Vector result: vector + :returns: axis-angle vector + +.. js:function:: fromAxisAngle(v[, result]) + + .. note:: Not yet implemented + + :param Vector v: axis-angle vector + :param Matrix result: result + :returns: rotation matrix + +Matrix4 +------- + +.. js:function:: multiply(m1, m2[, result]) + + .. note:: Optimized + + :param Matrix m1: first square matrix + :param Matrix m2: second square matrix + :param Matrix result: result + :returns: the matrix product of ``m1`` with ``m2`` + +Transform +--------- + +.. js:function:: translate(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with translation applied + + The translation should be expressed as a 3-dimensional vector. + +.. js:function:: rotate(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with rotation applied + + The rotation should be expressed as an angle or rotation matrix for 2 dimensions, or rotation matrix, axis-angle or quaternion for 3 dimensions. + +.. js:function:: scale(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with scaling applied + + The scaling should be expressed as a vector, with each component specifying the factor in the corresponding dimension. + +.. js:function:: linear(t[, result]) + + :param Transform t: transform + :param Matrix result: result + :returns: linear part (rotation and scaling) of the affine transform + +.. js:function:: svd(t, translation, rotation, scaling) + + :param Transform t: transform + :param Vector translation: result vector to store translation + :param Quaternion rotation: result quaternion to store rotation + :param Vector scaling: result vector to store scaling \ No newline at end of file diff --git a/docs/_build/html/_sources/operations/overview.txt b/docs/_build/html/_sources/operations/overview.txt new file mode 100644 index 0000000..77f4011 --- /dev/null +++ b/docs/_build/html/_sources/operations/overview.txt @@ -0,0 +1,441 @@ +Operations +========== + +.. js:function:: add(a1, a2[, result]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param Matrix result: result buffer + :returns: result + + Adds two buffers of the same size. + +.. js:function:: subtract(a1, a2[, result]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param Matrix result: result buffer + :returns: result + + Subtracts two buffers of the same size. + +.. js:function:: scale(a, s[, result]) + + :param Matrix a: buffer + :param number s: scalar + :param Matrix result: result + :returns: result + + Scales a buffer by multiplying each component by a scalar. + +.. js:function:: equal(a1, a2[, e]) + + :param Matrix a1: first operand + :param Matrix a2: second operand + :param number e: comparision tolerance, defaults to ``10E-5`` + :returns: true if operands are equal (within tolerance), false otherwise + + Compares two buffers component-wise for equality. Differences smaller than ``e`` are ignored. + +.. js:function:: clone(a[, result]) + + :param Matrix a: buffer + :param Matrix result: result buffer + + Creates a component-wise copy of a buffer. + +.. js:function:: clear(a[, s]) + + :param Matrix a: buffer + :param number s: scalar, defaults to 0 + + Clears a buffer by writing a scalar into each component. + +.. js:function:: toMathML(a) + + :param Matrix a: buffer + + Converts a buffer to MathML representation. + +.. js:function:: toString(a) + + :param Matrix a: buffer + + Converts a buffer to string representation. + +Vector +------ + +.. js:function:: set(v, values) + + :param Vector v: vector + :param Array values: array of values + :returns: ``v`` + +.. js:function:: length(v) + + :param Vector v: vector + :returns: length of ``v`` + +.. js:function:: length2(v) + + :param Vector v: vector + :returns: squared length of ``v`` + +.. js:function:: dot(v1, v2) + + :param Vector v1: first vector + :param Vector v2: second vector + :returns: inner product of ``v1`` and ``v2`` + +.. js:function:: negate(v[, result]) + + :param Vector v: vector + :param Vector result: result + :returns: negation of ``v`` + +.. js:function:: limit(v, s[, result]) + + :param Vector v: vector + :param number s: scalar limit + :returns: ``v`` resized to have length at most ``s`` + +.. js:function:: normalize(v[, result]) + + :param Vector v: vector + :param Vector result: result + :returns: a unit vector in the direction of ``v`` + +.. js:function:: distance(v1, v2) + + :param Vector v1: origin vector + :param Vector v2: target vector + :returns: the distance from v1 to v2 + +.. js:function:: angle(v1, v2) + + :param Vector v1: first vector + :param Vector v2: second vector + :returns: the angle betwen ``v1`` and ``v2`` + +.. js:function:: lerp(v1, v2, s[, result]) + + :param Vector v1: origin vector + :param Vector v2: target vector + :param number s: interpolation scalar + :param Vector result: result + :returns: interpolation from ``v1`` to ``v2`` by s + +.. js:function:: direction(v1, v2[, result]) + + :param Vector v1: origin vector + :param Vector v2: target vector + :param Vector result: result + :returns: unit vector pointing from ``v1`` to ``v2`` + +.. js:function:: extract(v, offset, length[, result]) + + :param Vector v: vector + :param number offset: offset from the start ov ``v`` + :param number length: number of elements to extract + :param Vector result: result + :returns: ``length`` elements of ``v``, starting from ``offset`` + +.. js:function:: zero(v) + + :param Vector v: vector + :returns: ``v`` with all components 0 + +.. js:function:: zero(d) + + :param number d: dimension + :returns: a new ``Vector`` with all components 0 + +.. js:function:: one(v) + + :param Vector v: vector + :returns: ``v`` with all components 1 + +.. js:function:: one(d) + + :param number d: dimension + :returns: a new ``Vector`` with all components 1 + +Vector2 +------- + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 2-dimensional y unit vector (1, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 2-dimensional y unit vector (0, 1) + +.. js:function:: u([result]) + + :param Vector result: result + :returns: 2-dimensional u unit vector (1, 0) + +.. js:function:: v([result]) + + :param Vector result: result + :returns: 2-dimensional v unit vector (0, 1) + +Vector3 +------- + +.. js:function:: cross(v1, v2[, result]) + + :param Vector v1: first vector + :param Vector v2: second vector + :param Vector result: result + :returns: outer product of ``v1`` and ``v2`` + +.. js:function:: unproject(v, view, projection, viewport[, result]) + + .. note:: Not yet implemented + + :param Vector v: screen space vector + :param Matrix view: view matrix + :param Matrix projection: projection matrix + :param Array viewport: viewport parameters, as ``[x, y, width, height]`` + :param Vector result: result + :returns: vector projected from screen space to object space + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 3-dimensional y unit vector (1, 0, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 3-dimensional y unit vector (0, 1, 0) + +.. js:function:: z([result]) + + :param Vector result: result + :returns: 3-dimensional z unit vector (0, 0, 1) + +Vector4 +-------- + +.. js:function:: x([result]) + + :param Vector result: result + :returns: 4-dimensional y unit vector (1, 0, 0, 0) + +.. js:function:: y([result]) + + :param Vector result: result + :returns: 4-dimensional y unit vector (0, 1, 0, 0) + +.. js:function:: z([result]) + + :param Vector result: result + :returns: 4-dimensional z unit vector (0, 0, 1, 0) + +.. js:function:: w([result]) + + :param Vector result: result + :returns: 4-dimensional w unit vector (0, 0, 0, 1) + +Quaternion +---------- + +.. js:function:: inverse(q[, result]) + + :param Quaternion q: quaternion + :param Quaternion result: result + :returns: inverse of ``q`` + +.. js:function:: conjugate(q[, result]) + + :param Quaternion q: quaternion + :param Quaternion result: result + :returns: conjugate of ``q`` + +.. js:function:: identity([result]) + + :param Quaternion result: result + :returns: the identity quaternion (0, 0, 0, 1) + +.. js:function:: slerp(q1, q2, s[, result]) + + :param Quaternion q1: origin quaternion + :param Quaternion q2: target quaternion + :param number s: interpolation scalar + :param Quaternion result: result + :returns: spherical linear interpolation between ``q1`` and ``q2`` + +.. js:function:: rotation(v1, v2[, result]) + + .. note:: Not yet implemented + + :param Vector v1: origin vector + :param Vector v2: target vector + :param Quaternion result: result + :returns: quaternion of rotation between two 3-dimensional vectors + +.. js:function:: toAxisAngle(q[, result]) + + :param Quaternion q: quaternion + :param Vector result: result + :returns: axis-angle representated as a 3-dimensional vector + +.. js:function:: fromAxisAngle(v[, result]) + + :param Vector v: vector + :param Quaternion result: result + :returns: quaternion computed from axis-angle as a 3-dimensional vector + +Matrix +------ + +.. js:function:: multiply(m1, m2[, reuslt]) + + :param Matrix m1: first matrix + :param Matrix m2: second matrix + :param Matrix result: result + :returns: the matrix product of ``m1`` with ``m2`` + +.. js:function:: inverse(m[, result]) + + .. note:: Valid for square matrices only + + :param Matrix m: square matrix + :param Matrix result: result + :returns: inverse of ``m`` + +.. js:function:: transpose(m[, result]) + + .. note:: Implemented for square matrices only + + :param Matrix m: matrix + :param Matrix result: result + :returns: transpose of ``m`` + +.. js:function:: identity(m) + + .. note:: Valid for square matrices only + + :param Matrix m: square matrix + :returns: identity matrix + +.. js:function:: identity(d) + + :param number d: dimension + :returns: identity matrix of dimension ``d`` + +.. js:function:: extract(m, rowOffset, columnOffset, rows, columns[, result]) + + .. note:: Not yet implemented + + :param Matrix m: matrix + :param number rowOffset: starting row + :param number columnOffset: starting column + :param number rows: number of rows to extract + :param number columns: number of columns to extract + :param Matrix result: result + :returns: sub-matrix of ``m`` + +Matrix2 +------- + +.. js:function:: toAngle(m) + + :param Matrix m: rotation matrix + :returns: angle in radians + +.. js:function:: fromAngle(angle[, result]) + + :param number angle: angle in radians + :param Matrix result: result + :returns: 2-dimensional rotation matrix + +Matrix3 +------- + +.. js:function:: toQuaternion(m[, result]) + + .. note:: Not yet implemented + + :param Matrix m: rotation matrix + :param Quaternion result: result + :returns: quaternion rotation + +.. js:function:: fromQuaternion(q[, result]) + + .. note:: Not yet implemented + + :param Quaternion q: quaternion + :param Matrix result: matrix + :returns: rotation matrix + +.. js:function:: toAxisAngle(m[, result]) + + .. note:: Not yet implemented + + :param Matrix m: matrix + :param Vector result: vector + :returns: axis-angle vector + +.. js:function:: fromAxisAngle(v[, result]) + + .. note:: Not yet implemented + + :param Vector v: axis-angle vector + :param Matrix result: result + :returns: rotation matrix + +Transform +--------- + +.. js:function:: translate(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with translation applied + + The translation should be expressed as a 3-dimensional vector. + +.. js:function:: rotate(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with rotation applied + + The rotation should be expressed as an angle or rotation matrix for 2 dimensions, or rotation matrix, axis-angle or quaternion for 3 dimensions. + +.. js:function:: scale(left, right[, result]) + + .. note:: One of the operands must be a Transform + + :param left: left operand + :param right: right operand + :param Transform result: result + :returns: transform with scaling applied + + The scaling should be expressed as a vector, with each component specifying the factor in the corresponding dimension. + +.. js:function:: linear(t[, result]) + + :param Transform t: transform + :param Matrix result: result + :returns: linear part (rotation and scaling) of the affine transform + +.. js:function:: svd(t, translation, rotation, scaling) + + :param Transform t: transform + :param Vector translation: result vector to store translation + :param Quaternion rotation: result quaternion to store rotation + :param Vector scaling: result vector to store scaling \ No newline at end of file diff --git a/docs/_build/html/_sources/types.txt b/docs/_build/html/_sources/types.txt new file mode 100644 index 0000000..0086408 --- /dev/null +++ b/docs/_build/html/_sources/types.txt @@ -0,0 +1,77 @@ +Types +===== + +Matrix +------ + +Creates a new matrix. + +.. js:class:: Matrix(r, c) + + :param number r: row dimension + :param number c: column dimension + +.. js:class:: Matrix(values) + + :param Array values: an array of lists containing initial values, one for each matrix row + +Vector +------ + +Creates a new column vector. A vector is represented by a single-column Matrix. + +.. js:class:: Vector(d) + + :param number d: dimension + +.. js:class:: Vector(values) + + :param Array values: an array of initial values + +Transform +--------- + +Creates a new affine transform Matrix. A transform is represented by a ``d+1`` square Matrix. + +.. js:class:: Transform(d) + + :param number d: dimension + +Quaternion +---------- + +Creates a new quaternion. A quaternion is represented by a 4-dimensional Vector. + +.. js:class:: Quaternion() + +.. js:class:: Quaternion(values) + + :param Array values: an array of initial values + +Frustum +------- + +Creates a new frustum. + +.. js:class:: Frustum(left, right, bottom, top, near, far) + +Perspective +----------- + +Creates a new perspective projection matrix. + +.. js:class:: Perspective(fovy, aspect, near, far) + +Orthographic +------------ + +Creates a new orthographic projection matrix. + +.. js:class:: Orthographic(left, right, bottom, top, near, far) + +LookAt +------ + +Creates a new look-at matrix. + +.. js:class:: LookAt(eye, center, up) \ No newline at end of file diff --git a/docs/_build/html/_sources/types/overview.txt b/docs/_build/html/_sources/types/overview.txt new file mode 100644 index 0000000..0086408 --- /dev/null +++ b/docs/_build/html/_sources/types/overview.txt @@ -0,0 +1,77 @@ +Types +===== + +Matrix +------ + +Creates a new matrix. + +.. js:class:: Matrix(r, c) + + :param number r: row dimension + :param number c: column dimension + +.. js:class:: Matrix(values) + + :param Array values: an array of lists containing initial values, one for each matrix row + +Vector +------ + +Creates a new column vector. A vector is represented by a single-column Matrix. + +.. js:class:: Vector(d) + + :param number d: dimension + +.. js:class:: Vector(values) + + :param Array values: an array of initial values + +Transform +--------- + +Creates a new affine transform Matrix. A transform is represented by a ``d+1`` square Matrix. + +.. js:class:: Transform(d) + + :param number d: dimension + +Quaternion +---------- + +Creates a new quaternion. A quaternion is represented by a 4-dimensional Vector. + +.. js:class:: Quaternion() + +.. js:class:: Quaternion(values) + + :param Array values: an array of initial values + +Frustum +------- + +Creates a new frustum. + +.. js:class:: Frustum(left, right, bottom, top, near, far) + +Perspective +----------- + +Creates a new perspective projection matrix. + +.. js:class:: Perspective(fovy, aspect, near, far) + +Orthographic +------------ + +Creates a new orthographic projection matrix. + +.. js:class:: Orthographic(left, right, bottom, top, near, far) + +LookAt +------ + +Creates a new look-at matrix. + +.. js:class:: LookAt(eye, center, up) \ No newline at end of file diff --git a/docs/_build/html/_static/ajax-loader.gif b/docs/_build/html/_static/ajax-loader.gif new file mode 100644 index 0000000..61faf8c Binary files /dev/null and b/docs/_build/html/_static/ajax-loader.gif differ diff --git a/docs/_build/html/_static/basic.css b/docs/_build/html/_static/basic.css new file mode 100644 index 0000000..43e8baf --- /dev/null +++ b/docs/_build/html/_static/basic.css @@ -0,0 +1,540 @@ +/* + * basic.css + * ~~~~~~~~~ + * + * Sphinx stylesheet -- basic theme. + * + * :copyright: Copyright 2007-2011 by the Sphinx team, see AUTHORS. + * :license: BSD, see LICENSE for details. + * + */ + +/* -- main layout ----------------------------------------------------------- */ + +div.clearer { + clear: both; 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+ var start = 0; + $.each(keywords, function() { + var i = textLower.indexOf(this.toLowerCase()); + if (i > -1) + start = i; + }); + start = Math.max(start - 120, 0); + var excerpt = ((start > 0) ? '...' : '') + + $.trim(text.substr(start, 240)) + + ((start + 240 - text.length) ? '...' : ''); + var rv = $('
').text(excerpt); + $.each(hlwords, function() { + rv = rv.highlightText(this, 'highlighted'); + }); + return rv; +} + + +/** + * Porter Stemmer + */ +var Stemmer = function() { + + var step2list = { + ational: 'ate', + tional: 'tion', + enci: 'ence', + anci: 'ance', + izer: 'ize', + bli: 'ble', + alli: 'al', + entli: 'ent', + eli: 'e', + ousli: 'ous', + ization: 'ize', + ation: 'ate', + ator: 'ate', + alism: 'al', + iveness: 'ive', + fulness: 'ful', + ousness: 'ous', + aliti: 'al', + iviti: 'ive', + biliti: 'ble', + logi: 'log' + }; + + var step3list = { + icate: 'ic', + ative: '', + alize: 'al', + iciti: 'ic', + ical: 'ic', + ful: '', + ness: '' + }; + + var c = "[^aeiou]"; // consonant + var v = "[aeiouy]"; // vowel + var C = c + "[^aeiouy]*"; // consonant sequence + var V = v + "[aeiou]*"; // vowel sequence + + var mgr0 = "^(" + C + ")?" + V + C; // [C]VC... is m>0 + var meq1 = "^(" + C + ")?" + V + C + "(" + V + ")?$"; // [C]VC[V] is m=1 + var mgr1 = "^(" + C + ")?" + V + C + V + C; // [C]VCVC... is m>1 + var s_v = "^(" + C + ")?" + v; // vowel in stem + + this.stemWord = function (w) { + var stem; + var suffix; + var firstch; + var origword = w; + + if (w.length < 3) + return w; + + var re; + var re2; + var re3; + var re4; + + firstch = w.substr(0,1); + if (firstch == "y") + w = firstch.toUpperCase() + w.substr(1); + + // Step 1a + re = /^(.+?)(ss|i)es$/; + re2 = /^(.+?)([^s])s$/; + + if (re.test(w)) + w = w.replace(re,"$1$2"); + else if (re2.test(w)) + w = w.replace(re2,"$1$2"); + + // Step 1b + re = /^(.+?)eed$/; + re2 = /^(.+?)(ed|ing)$/; + if (re.test(w)) { + var fp = re.exec(w); + re = new RegExp(mgr0); + if (re.test(fp[1])) { + re = /.$/; + w = w.replace(re,""); + } + } + else if (re2.test(w)) { + var fp = re2.exec(w); + stem = fp[1]; + re2 = new RegExp(s_v); + if (re2.test(stem)) { + w = stem; + re2 = /(at|bl|iz)$/; + re3 = new RegExp("([^aeiouylsz])\\1$"); + re4 = new RegExp("^" + C + v + "[^aeiouwxy]$"); + if (re2.test(w)) + w = w + "e"; + else if (re3.test(w)) { + re = /.$/; + w = w.replace(re,""); + } + else if (re4.test(w)) + w = w + "e"; + } + } + + // Step 1c + re = /^(.+?)y$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(s_v); + if (re.test(stem)) + w = stem + "i"; + } + + // Step 2 + re = /^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + suffix = fp[2]; + re = new RegExp(mgr0); + if (re.test(stem)) + w = stem + step2list[suffix]; + } + + // Step 3 + re = /^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + suffix = fp[2]; + re = new RegExp(mgr0); + if (re.test(stem)) + w = stem + step3list[suffix]; + } + + // Step 4 + re = /^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/; + re2 = /^(.+?)(s|t)(ion)$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(mgr1); + if (re.test(stem)) + w = stem; + } + else if (re2.test(w)) { + var fp = re2.exec(w); + stem = fp[1] + fp[2]; + re2 = new RegExp(mgr1); + if (re2.test(stem)) + w = stem; + } + + // Step 5 + re = /^(.+?)e$/; + if (re.test(w)) { + var fp = re.exec(w); + stem = fp[1]; + re = new RegExp(mgr1); + re2 = new RegExp(meq1); + re3 = new RegExp("^" + C + v + "[^aeiouwxy]$"); + if (re.test(stem) || (re2.test(stem) && !(re3.test(stem)))) + w = stem; + } + re = /ll$/; + re2 = new RegExp(mgr1); + if (re.test(w) && re2.test(w)) { + re = /.$/; + w = w.replace(re,""); + } + + // and turn initial Y back to y + if (firstch == "y") + w = firstch.toLowerCase() + w.substr(1); + return w; + } +} + + +/** + * Search Module + */ +var Search = { + + _index : null, + _queued_query : null, + _pulse_status : -1, + + init : function() { + var params = $.getQueryParameters(); + if (params.q) { + var query = params.q[0]; + $('input[name="q"]')[0].value = query; + this.performSearch(query); + } + }, + + loadIndex : function(url) { + $.ajax({type: "GET", url: url, data: null, success: null, + dataType: "script", cache: true}); + }, + + setIndex : function(index) { + var q; + this._index = index; + if ((q = this._queued_query) !== null) { + this._queued_query = null; + Search.query(q); + } + }, + + hasIndex : function() { + return this._index !== null; + }, + + deferQuery : function(query) { + this._queued_query = query; + }, + + stopPulse : function() { + this._pulse_status = 0; + }, + + startPulse : function() { + if (this._pulse_status >= 0) + return; + function pulse() { + Search._pulse_status = (Search._pulse_status + 1) % 4; + var dotString = ''; + for (var i = 0; i < Search._pulse_status; i++) + dotString += '.'; + Search.dots.text(dotString); + if (Search._pulse_status > -1) + window.setTimeout(pulse, 500); + }; + pulse(); + }, + + /** + * perform a search for something + */ + performSearch : function(query) { + // create the required interface elements + this.out = $('#search-results'); + this.title = $('

' + _('Searching') + '

').appendTo(this.out); + this.dots = $('').appendTo(this.title); + this.status = $('

').appendTo(this.out); + this.output = $('