Sly: Vectors

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4.2.1 Vectors

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(use-modules (sly math vector))
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Not to be confused with Guile’s vector data structure, Sly provides -dedicated data types for 2D, 3D, and 4D vectors in the mathematical -sense. Vector procedures are polymorphic, and will work with any -dimensionality that the operation supports. In some cases, such as -v+, v-, and v*, scalar values may be passed as -well. -

The <vector2>, <vector3>, and <vector4> type -descriptors have been exposed for use with Guile’s (ice-9 -match) pattern matching module. -

Record Type: <vector2>: 2D vector data type with fields x and y, in that order. -

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Record Type: <vector3>: 3D vector data type with fields x, y, and z, in -that order. -

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Record Type: <vector4>: 4D vector data type with fields x, y, z and -w, in that order. -

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Scheme Syntax: vector2 x y: Create a new 2D vector with coordinates (x, y). -

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Scheme Syntax: vector3 x y z: Create a new 3D vector with coordinates (x, y, z). -

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Scheme Syntax: vector4 x y z w: Create a new 4D vector with coordinates (x, y, z, -w). -

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Scheme Syntax: vector2? v: Return #t if v is a 2D vector. -

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Scheme Syntax: vector3? v: Return #t if v is a 3D vector. -

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Scheme Syntax: vector4? v: Return #t if v is a 4D vector. -

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Scheme Procedure: vx v: Return the x coordinate of the 2D, 3D, or 4D vector v. -

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Scheme Procedure: vy v: Return the y coordinate of the 2D, 3D, or 4D vector v. -

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Scheme Procedure: vz v: Return the z coordinate of the 3D or 4D vector v. -

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Scheme Procedure: vw v: Return the w coordinate of the 4D vector v. -

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Scheme Procedure: vmap proc v: Return a new vector that is the result of applying proc to each -element of the 2D, 3D, or 4D vector v. -

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Scheme Procedure: v+ . vectors: Return the sum of all vectors. vectors may contain scalar -values, but it may not contain vectors of mixed dimensions. -

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Scheme Procedure: v- . vectors: Return the difference of all vectors. vectors may contain scalar -values, but it may not contain vectors of mixed dimensions. -

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Scheme Procedure: v* . vectors: Return the product of all vectors. vectors may contain -scalar values, but it may not contain vectors of mixed dimensions. -

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Scheme Procedure: vdot v1 v2: Return the dot product of v1 and v2. Both vectors must be -of the same dimensionality. -

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Scheme Procedure: vcross v1 v2: Return the cross product of the 3D vectors v1 and v2. -

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Scheme Procedure: magnitude v: Return the magnitude of the vector v. -

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Scheme Procedure: normalize v: Return the normalized form of the vector v. -

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Scheme Procedure: vlerp v1 v2 alpha: Return the linear interpolation of v1 and v2 by the scalar -alpha. alpha is expected to be in the range [0, 1]. -

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