diff --git a/functions/R2xyz.html b/functions/R2xyz.html index dada5c1..edaec31 100644 --- a/functions/R2xyz.html +++ b/functions/R2xyz.html @@ -15,4 +15,4 @@ v_B.

Returns Vector3

Angles of rotation about new axes.

See

https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R2xyz.m

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Returns Vector3

Angles of rotation about new axes.

See

https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R2zyx.m

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Parameters

Returns Vector3

An n-vector decomposed in E.

See

https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R_EL2n_E.m

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Parameters

Returns Vector3

An n-vector decomposed in E.

See

https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R_EN2n_E.m

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Example: Scale a vector by a scalar

apply((a, b) => a + (b - a) / 2, [1, 2, 3], [4, 5, 6]); // [2.5, 3.5, 4.5]
 
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Parameters

Returns Vector3

The resulting vector.

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Parameters

Returns number

Angle in degrees.

See

https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/deg.m

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Parameters

Returns number

The resulting scalar.

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\ No newline at end of file diff --git a/functions/lat_long2n_E.html b/functions/lat_long2n_E.html index 09c3802..896d67c 100644 --- a/functions/lat_long2n_E.html +++ b/functions/lat_long2n_E.html @@ -4,4 +4,4 @@
  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns Vector3

    An n-vector decomposed in E.

    See

    https://github.com/FFI-no/n-vector/blob/82d749a67cc9f332f48c51aa969cdc277b4199f2/nvector/lat_long2n_E.m

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    Parameters

    Returns Matrix3x3

    The resulting matrix.

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  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns Matrix3x3

    The resulting rotation matrix (direction cosine matrix).

    See

    https://github.com/FFI-no/n-vector/blob/82d749a67cc9f332f48c51aa969cdc277b4199f2/nvector/n_E2R_EN.m

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  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns [latitude: number, longitude: number]

    Geodetic latitude and longitude in radians.

    See

    https://github.com/FFI-no/n-vector/blob/82d749a67cc9f332f48c51aa969cdc277b4199f2/nvector/n_E2lat_long.m

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  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns Vector3

    Position vector in meters from A to B, decomposed in E.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/n_EA_E_and_n_EB_E2p_AB_E.m

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    Returns [n_EB_E: Vector3, z_EB: number]

    An n-vector of position B, decomposed in E, and depth in meters of system B, relative to the ellipsoid (-height).

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/n_EA_E_and_p_AB_E2n_EB_E.m

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  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns Vector3

    Cartesian position vector in meters from E to B, decomposed in E.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/n_EB_E2p_EB_E.m

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  • R_Ee: Matrix3x3 = R_Ee_NP_Z

    Defines the axes of the coordinate frame E.

  • Returns Matrix3x3

    The resulting rotation matrix.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/n_E_and_wa2R_EL.m

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    Function norm

    • Finds the Euclidean norm of a vector.

      Parameters

      Returns number

      The Euclidean norm.

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    Returns [n_EB_E: Vector3, depth: number]

    Representation of position B, decomposed in E, and depth in meters of system B relative to the ellipsoid.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/p_EB_E2n_EB_E.m

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    Parameters

    Returns number

    Angle in radians.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/rad.m

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    Parameters

    Returns Vector3

    The rotated vector.

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    Function transpose

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    Parameters

    Returns Vector3

    A unit vector.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/unit.m

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    Returns Matrix3x3

    3x3 rotation matrix (direction cosine matrix) such that the relation between a vector v decomposed in A and B is given by: v_A = R_AB * v_B.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/xyz2R.m

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  • x: number

    Angle of rotation about the new x-axis in radians.

  • Returns Matrix3x3

    The rotation matrix.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/zyx2R.m

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    Type alias Ellipsoid

    Ellipsoid: {
        a: number;
        f: number;
    }

    An ellipsoid.

    Type declaration

    • a: number

      The semi-major axis of the ellipsoid.

    • f: number

      The flattening of the ellipsoid.

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    Type alias Matrix3x3

    Matrix3x3: [[n11: number, n12: number, n13: number], [n21: number, n22: number, n23: number], [n31: number, n32: number, n33: number]]

    A 3x3 matrix.

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    Type alias Vector3

    Vector3: [x: number, y: number, z: number]

    A 3D vector.

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    Variable GRS_80Const

    GRS_80: Ellipsoid = ...

    The Geodetic Reference System 1980 ellipsoid.

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    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R_Ee.m#L55

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    The z-axis points to the North Pole and x-axis points to the point where latitude = longitude = 0. This choice is very common in many fields.

    See

    https://github.com/FFI-no/n-vector/blob/f77f43d18ddb6b8ea4e1a8bb23a53700af965abb/nvector/R_Ee.m#L48

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    Variable WGS_72Const

    WGS_72: Ellipsoid = ...

    The World Geodetic System 1972 ellipsoid.

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    Variable WGS_84Const

    WGS_84: Ellipsoid = ...

    The World Geodetic System 1984 ellipsoid.

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    Variable WGS_84_SPHEREConst

    WGS_84_SPHERE: Ellipsoid = ...

    A sphere with the same semi-major axis as the WGS-84 ellipsoid.

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