Cartesian unit vector I
+ +Vector{1.0, 0.0, 0.0}
Cartesian unit vector J
+ +Vector{0.0, 1.0, 0.0}
Cartesian unit vector K
+ +Vector{0.0, 0.0, 1.0}
Returns a standard basis-n vector of the given size and index.
Creates a standard basis-n vector of the given size and index.
Creates a matrix where the diagonal elements are composed of values.
Creates a new empty matrix with the given row_count and column_count.
Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
Creates a n x n identity matrix.
Creates a new vector of size n filled with random numbers.
Creates a single-row matrix where the values of that row are as given in row.
Creates an n by n diagonal matrix where each diagonal element is value.
Returns a standard basis-n vector of the given size and index.
Creates a standard basis-n vector of the given size and index.
Creates a matrix where the diagonal elements are composed of values.
Creates a new empty matrix with the given row_count and
+column_count. At lease one of row_count or
+column_count must be zero.
Creates a new diagonal matrix of size n with ones in the diagonal
+and zeros elsewhere.
Creates a new vector of size n filled with random numbers. A range
+can optionally be passed in if you want to limit the random numbers
+to a given range.
Creates a single-row matrix where the values of that row are as given in row.
Creates an n by n diagonal matrix where each diagonal element is value.
self, assigning the block's value in that index.<
self, assigning the block's value in that index.<
Calculates the sigmoid curve for a numeric input.
-f(x) = 1/(1 + e^-x)
+f(x) = 1/(1 + e^-x)
See also: Sigmoid function [WikiWand
See also: Sigmoid function (WikiWand)
Calculates the derivative sigmoid curve for a numeric input.
-f'(x) = f(x)(1 - f(x)),
f'(x) = f(x)(1 - f(x)),
Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
Creates a new diagonal matrix of size n with ones in the diagonal
+and zeros elsewhere.
MatrixDefined in:
-
+
apatite/linear_algebra/vector.cr
@@ -244,9 +244,9 @@ of a Matrix
Generates a random vector of size n with elements in range.
Creates a new Vector of size n filled with random numbers.
Generates a random vector of size n with elements
-in range.
Creates a new Vector of size n filled with random numbers. A range
+can optionally be passed in if you want to limit the random numbers
+to a given range.
range.range.
range.
range.
range.
nil.
nil.
Apetite.precision
Cartesian unit vector I
"},{"id":"J","name":"J","value":"Vector::J","doc":"Cartesian unit vector J","summary":"Cartesian unit vector J
"},{"id":"K","name":"K","value":"Vector::K","doc":"Cartesian unit vector K","summary":"Cartesian unit vector K
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TODO
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TODO
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","abstract":false,"args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"}],"args_string":"(range : Range(Int, Int))","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L173","def":{"name":"[]","args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self[*Indexable.range_to_index_and_count(range, size)]"}},{"id":"[]=(index:Int,count:Int,values:Vector)-instance-method","html_id":"[]=(index:Int,count:Int,values:Vector)-instance-method","name":"[]=","doc":"Replaces a subrange with the elements of the given vector.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = Vector{6.0, 7.0, 8.0}\nvec # = Vector{1.0, 6.0, 7.0, 8.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = Vector{6.0, 7.0}\nvec # = Vector{1.0, 6.0, 7.0, 5.0}\n```","summary":"Replaces a subrange with the elements of the given vector.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Vector"}],"args_string":"(index : Int, count : Int, values : Vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L297","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if count < 0\n raise(ArgumentError.new(\"Negative count: #{count}\"))\nend\nindex = check_index_out_of_bounds(index)\ncount = ((index + count) <= size) ? count : size - index\ndiff = values.size - count\nif diff == 0\n (@buffer + index).copy_from(values.to_unsafe, values.size)\nelse\n if diff < 0\n diff = -diff\n (@buffer + index).copy_from(values.to_unsafe, values.size)\n ((@buffer + index) + values.size).move_from((@buffer + index) + count, (size - index) - count)\n ((@buffer + @size) - diff).clear(diff)\n @size = @size - diff\n else\n resize_to_capacity(Math.pw2ceil(@size + diff))\n ((@buffer + index) + values.size).move_from((@buffer + index) + count, (size - index) - count)\n (@buffer + index).copy_from(values.to_unsafe, values.size)\n @size = @size + diff\n end\nend\nvalues\n"}},{"id":"[]=(index:Int,count:Int,value)-instance-method","html_id":"[]=(index:Int,count:Int,value)-instance-method","name":"[]=","doc":"Replaces a subrange with a single value. All elements in the range\n`index...index+count` are removed and replaced by a single element\n*value*.\n\nIf *count* is zero, *value* is inserted at *index*.\n\nNegative values of *index* count from the end of the vector.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = 6.0\nvec # => Vector{1.0, 6.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 0] = 6.0\nvec # => Vector{1.0, 6.0, 2.0, 3.0, 4.0, 5.0}\n```","summary":"Replaces a subrange with a single value.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(index : Int, count : Int, value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L248","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if count < 0\n raise(ArgumentError.new(\"Negative count: #{count}\"))\nend\nvalue = value.to_f64\nindex = check_index_out_of_bounds(index)\ncount = ((index + count) <= size) ? count : size - index\ncase count\nwhen 0\n insert(index, value)\nwhen 1\n @buffer[index] = value\nelse\n diff = count - 1\n ((@buffer + index) + 1).move_from((@buffer + index) + count, (size - index) - count)\n ((@buffer + @size) - diff).clear(diff)\n @buffer[index] = value\n @size = @size - diff\nend\nvalue\n"}},{"id":"[]=(index:Int,value)-instance-method","html_id":"[]=(index:Int,value)-instance-method","name":"[]=","doc":"Sets the given value at the given index.\n\nNegative indices can be used to start counting from the end of the array.\nRaises `IndexError` if trying to set an element outside the array's range.\n\n```\nvec = Vector{1.0, 2.0, 3.0}\nvec[0] = 5.0\np vec # => Vec{5.0, 2.0, 3.0}\n\nvec[3] = 5.0 # raises IndexError\n```","summary":"Sets the given value at the given index.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(index : Int, value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L226","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"index = check_index_out_of_bounds(index)\n@buffer[index] = value.to_f64\n"}},{"id":"[]=(range:Range(Int,Int),value)-instance-method","html_id":"[]=(range:Range(Int,Int),value)-instance-method","name":"[]=","doc":"Replaces a subrange with a single value.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1..3] = 6.0\nvec # = Vector{1.0, 6.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1...1] = 6\nvec # = Vector{1.0, 6.0, 2.0, 3.0, 4.0, 5.0}\n```","summary":"Replaces a subrange with a single value.
","abstract":false,"args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(range : Range(Int, Int), value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L282","def":{"name":"[]=","args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self[*Indexable.range_to_index_and_count(range, size)] = value.to_f64"}},{"id":"add(value)-instance-method","html_id":"add(value)-instance-method","name":"add","doc":"When the input is a number, this returns the result of adding\nit to all vector elements. When it's a vector, the vectors\nwill be added together.","summary":"When the input is a number, this returns the result of adding it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L488","def":{"name":"add","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a + b\nend"}},{"id":"angle_from(vector)-instance-method","html_id":"angle_from(vector)-instance-method","name":"angle_from","doc":"Returns the angle between this vector and another in radians.\nIf the vectors are mirrored across their axes this will return `nil`.","summary":"Returns the angle between this vector and another in radians.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L440","def":{"name":"angle_from","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = vector.is_a?(Vector) ? vector : Vector.create(vector)\nif size == v.size\nelse\n raise(\"Cannot compute the angle between vectors with different dimensionality\")\nend\ndot = 0_f64\nmod1 = 0_f64\nmod2 = 0_f64\n(zip(vector)).each do |x, v|\n dot = dot + (x * v)\n mod1 = mod1 + (x * x)\n mod2 = mod2 + (v * v)\nend\nmod1 = Math.sqrt(mod1)\nmod2 = Math.sqrt(mod2)\nif (mod2 * mod2) == 0\n return 0.0\nend\ntheta = (dot / (mod1 * mod2)).clamp(-1, 1)\nMath.acos(theta)\n"}},{"id":"antiparallel_to?(vector)-instance-method","html_id":"antiparallel_to?(vector)-instance-method","name":"antiparallel_to?","doc":"Returns whether the vectors are antiparallel to each other.","summary":"Returns whether the vectors are antiparallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L475","def":{"name":"antiparallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\n(angle - Math::PI).abs <= Apatite.precision\n"}},{"id":"augment(elements)-instance-method","html_id":"augment(elements)-instance-method","name":"augment","doc":"Returns a new vector with the provided `elements` concatenated\non the end.","summary":"Returns a new vector with the provided elements concatenated on the end.
Returns a new vector with the first n elements removed from the beginning.
Removes all elements from self.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L782","def":{"name":"clear","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@buffer.clear(@size)\n@size = 0\nself\n"}},{"id":"clone-instance-method","html_id":"clone-instance-method","name":"clone","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L374","def":{"name":"clone","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Vector.create(@elements.clone)"}},{"id":"concat(other:Vector)-instance-method","html_id":"concat(other:Vector)-instance-method","name":"concat","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"args_string":"(other : Vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L731","def":{"name":"concat","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"other_size = other.size\nnew_size = size + other_size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\n(@buffer + @size).copy_from(other.to_unsafe, other_size)\n@size = new_size\nself\n"}},{"id":"covector-instance-method","html_id":"covector-instance-method","name":"covector","doc":"Creates a single-row matrix from this vector.","summary":"Creates a single-row matrix from this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L601","def":{"name":"covector","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.row_vector(self)"}},{"id":"cross(*vs)-instance-method","html_id":"cross(*vs)-instance-method","name":"cross","doc":"Returns the cross product of this vector with the others.\n\n```\nv1 = Vector{1.0, 0.0, 0.0}\nv2 = Vector{0.0, 1.0, 0.0}\nv1.cross(v2) => Vector{0.0, 0.0, 1.0}\n```","summary":"Returns the cross product of this vector with the others.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L518","def":{"name":"cross","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if size >= 2\nelse\n raise(\"cross product is not defined on vectors of dimension #{size}\")\nend\nif vs.size == (size - 2)\nelse\n raise(ArgumentError.new(\"wrong number of arguments (#{vs.size} for #{size - 2})\"))\nend\nvs.each do |v|\n if v.size == size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\ncase size\nwhen 2\n Vector[-@buffer[1], @buffer[0]]\nwhen 3\n v = vs[0]\n Vector[(v[2] * @buffer[1]) - (v[1] * @buffer[2]), (v[0] * @buffer[2]) - (v[2] * @buffer[0]), (v[1] * @buffer[0]) - (v[0] * @buffer[1])]\nelse\nend\n"}},{"id":"distance_from(obj)-instance-method","html_id":"distance_from(obj)-instance-method","name":"distance_from","doc":"Gets this vector's distance from the argument, when considered\na point in space.","summary":"Gets this vector's distance from the argument, when considered a point in space.
","abstract":false,"args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"args_string":"(obj)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L629","def":{"name":"distance_from","args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if object.is_a?(Plane) || object.is_a?(Line)\n return object.distance_from(self)\nend\nv = elements.is_a?(Vector) ? elements.elements : elements\nif v.size == @elements.size\nelse\n return nil\nend\nsum = 0\npart = 0\neach_with_index do |x, i|\n part = x - v[i - 1]\n sum = sum + (part * part)\nend\nMath.sqrt(sum)\n"}},{"id":"dot(other)-instance-method","html_id":"dot(other)-instance-method","name":"dot","doc":"Get the scalar (dot) product of this vector with `vector`.\n\n[https://en.wikipedia.org/wiki/Scalar_product](https://en.wikipedia.org/wiki/Scalar_product)","summary":"Get the scalar (dot) product of this vector with vector.
Returns the ith element of the vector.
Returns true if all vectors are linearly independent.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L384","def":{"name":"independent?","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vs.each do |v|\n if v.size == vs.first.size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\nif vs.size > sv.first.size\n return false\nend\nMatrix[*vs].rank.equal?(vs.count)\n"}},{"id":"lies_in(plane)-instance-method","html_id":"lies_in(plane)-instance-method","name":"lies_in","doc":"Returns true if the vector is a point on the given plane.","summary":"Returns true if the vector is a point on the given plane.
","abstract":false,"args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"args_string":"(plane)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L654","def":{"name":"lies_in","args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"plane.contains(self)"}},{"id":"lies_on(line)-instance-method","html_id":"lies_on(line)-instance-method","name":"lies_on","doc":"Returns true if the vector is a point on the given line","summary":"Returns true if the vector is a point on the given line
","abstract":false,"args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"args_string":"(line)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L649","def":{"name":"lies_on","args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"line.contains(self)"}},{"id":"log-instance-method","html_id":"log-instance-method","name":"log","doc":"Return a new `Vector` with the log of every item in `self`.","summary":"Return a new Vector with the log of every item in self.
Returns the magnitude/euclidian norm of this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L419","def":{"name":"magnitude","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"sum = reduce(0.0) do |acc, e|\n acc = acc + (e * e)\nend\nMath.sqrt(sum)\n"}},{"id":"map(&block)-instance-method","html_id":"map(&block)-instance-method","name":"map","doc":"Invokes the given block for each element of `self`.","summary":"Invokes the given block for each element of self.
Invokes the given block for each element of self, replacing the element with the value returned by the block.
Optimized version of Enumerable#map_with_index.
Like #map_with_index, but mutates self instead of allocating a new object.
Returns the (absolute) largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L589","def":{"name":"max","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, i|\n i.abs > acc.abs ? i : acc\nend"}},{"id":"max_index-instance-method","html_id":"max_index-instance-method","name":"max_index","doc":"Gets the index of the largest element in this vector.","summary":"Gets the index of the largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L594","def":{"name":"max_index","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"idx = 0\neach_with_index do |e, i|\n idx = e.abs > self[idx].abs ? i : idx\nend\nidx\n"}},{"id":"multiply(value)-instance-method","html_id":"multiply(value)-instance-method","name":"multiply","doc":"When the input is a number, this returns the result of multiplying\nit to all vector elements. When it's a vector, the vectors\nwill be element-wise multiplied.","summary":"When the input is a number, this returns the result of multiplying it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L502","def":{"name":"multiply","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a * b\nend"}},{"id":"parallel_to?(vector)-instance-method","html_id":"parallel_to?(vector)-instance-method","name":"parallel_to?","doc":"Returns whether the vectors are parallel to each other.","summary":"Returns whether the vectors are parallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L469","def":{"name":"parallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\nangle <= Apatite.precision\n"}},{"id":"perpendicular_to?(vector)-instance-method","html_id":"perpendicular_to?(vector)-instance-method","name":"perpendicular_to?","doc":"Returns whether the vectors are perpendicular to each other.","summary":"Returns whether the vectors are perpendicular to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L481","def":{"name":"perpendicular_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"(dot(vector)).abs <= Apatite.precision"}},{"id":"pretty_print(pp):Nil-instance-method","html_id":"pretty_print(pp):Nil-instance-method","name":"pretty_print","doc":null,"summary":null,"abstract":false,"args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"args_string":"(pp) : Nil","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L754","def":{"name":"pretty_print","args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Nil","visibility":"Public","body":"pp.list(\"Vector{\", self, \"}\")"}},{"id":"product-instance-method","html_id":"product-instance-method","name":"product","doc":"Get the product of all elements in this vector.","summary":"Get the product of all elements in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L567","def":{"name":"product","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, v|\n acc = acc * v\nend"}},{"id":"push(*values:Float64)-instance-method","html_id":"push(*values:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"args_string":"(*values : Float64)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L665","def":{"name":"push","args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"new_size = @size + values.size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\nvalues.each_with_index do |value, i|\n @buffer[@size + i] = value\nend\n@size = new_size\nself\n"}},{"id":"push(value:Float64)-instance-method","html_id":"push(value:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"args_string":"(value : Float64)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L658","def":{"name":"push","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"check_needs_resize\n@buffer[@size] = value\n@size = @size + 1\nself\n"}},{"id":"reflection_in(object)-instance-method","html_id":"reflection_in(object)-instance-method","name":"reflection_in","doc":"Returns the result of reflecting the point in the given `object`\n(point, line, or plane).","summary":"Returns the result of reflecting the point in the given object (point, line, or plane).
Rotates the vector about the given object.
Gets the result of rounding the elements of the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L612","def":{"name":"round","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"map do |x|\n x.round\nend"}},{"id":"set_elements(elements)-instance-method","html_id":"set_elements(elements)-instance-method","name":"set_elements","doc":null,"summary":null,"abstract":false,"args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"args_string":"(elements)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L726","def":{"name":"set_elements","args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@elements = elements.is_a?(Vector) ? elements.elements : elements\nself\n"}},{"id":"sigmoid-instance-method","html_id":"sigmoid-instance-method","name":"sigmoid","doc":"Sums the numbers in the vector and returns a sigmoid value\nacross the whole vector.","summary":"Sums the numbers in the vector and returns a sigmoid value across the whole vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L707","def":{"name":"sigmoid","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"LinearAlgebra.sigmoid(sum)"}},{"id":"size:Int32-instance-method","html_id":"size:Int32-instance-method","name":"size","doc":"Returns the number of elements in the vector","summary":"Returns the number of elements in the vector
","abstract":false,"args":[],"args_string":" : Int32","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L24","def":{"name":"size","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Int32","visibility":"Public","body":"@size"}},{"id":"snap_to(value)-instance-method","html_id":"snap_to(value)-instance-method","name":"snap_to","doc":"Returns a copy of the vector with elements set to `value` if\nthey differ from it by less than `Apetite.precision`","summary":"Returns a copy of the vector with elements set to value if they differ from it by less than Apetite.precision
When the input is a number, this returns the result of subtracting it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L495","def":{"name":"subtract","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a - b\nend"}},{"id":"sum-instance-method","html_id":"sum-instance-method","name":"sum","doc":"Returns the sum of all elements in the vector.","summary":"Returns the sum of all elements in the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L507","def":{"name":"sum","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce(0) do |acc, i|\n acc + i\nend"}},{"id":"to_3d-instance-method","html_id":"to_3d-instance-method","name":"to_3d","doc":"Utility to make sure vectors are 3D. If they are 2D, a zero\nz-component is added.","summary":"Utility to make sure vectors are 3D.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L713","def":{"name":"to_3d","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = dup\ncase v.elements.size\nwhen 3\n break\nwhen 2\n v.elements.push(0)\nelse\n return nil\nend\nreturn v\n"}},{"id":"to_a-instance-method","html_id":"to_a-instance-method","name":"to_a","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L744","def":{"name":"to_a","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Array(Float64).new(size) do |i|\n self[i]\nend"}},{"id":"to_diagonal_matrix-instance-method","html_id":"to_diagonal_matrix-instance-method","name":"to_diagonal_matrix","doc":"Returns a diagonal `Matrix` with the vectors elements as its\ndiagonal elements.","summary":"Returns a diagonal Matrix with the vectors elements as its diagonal elements.
Returns a new vector created by normalizing this one to have a magnitude of 1.
Returns a pointer to the internal buffer where self's elements are stored.
Returns a vector containing only the first n elements.
Transpose this vector into a 1xn Matrix
An Array is an ordered, integer-indexed collection of objects of type T.
Tests whether all elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L3","def":{"name":"all?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == false\n return false\n end\nend\ntrue\n"}},{"id":"any?-instance-method","html_id":"any?-instance-method","name":"any?","doc":"Tests whether any of the elements evaluate to true","summary":"Tests whether any of the elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L11","def":{"name":"any?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == true\n return true\n end\nend\nfalse\n"}},{"id":"shape-instance-method","html_id":"shape-instance-method","name":"shape","doc":"Get the array's dimensions","summary":"Get the array's dimensions
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L19","def":{"name":"shape","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"max = max_by do |i|\n i.is_a?(Array) ? i.size : i\nend\nmax.is_a?(Array) ? [size, max.size] : [max]\n"}},{"id":"to_vec-instance-method","html_id":"to_vec-instance-method","name":"to_vec","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L24","def":{"name":"to_vec","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Apatite::Vector.create(self)"}}],"macros":[],"types":[]}]}} \ No newline at end of file +{"repository_name":"github.com/watzon/apatite","body":"# Apatite\n\nApatite is meant to be a collecion of mathmatical and scientific computing algorithms for the Crystal programming language. I don't expect it to ever reach the level of completeness as numpy, but hopefully it can save some people the trouble of implementing these methods on their own.\n\n## Installation\n\n1. Add the dependency to your `shard.yml`:\n\n ```yaml\n dependencies:\n apatite:\n github: watzon/apatite\n ```\n\n2. Run `shards install`\n\n## Usage\n\n```crystal\nrequire \"apatite\"\n```\n\nTODO: Write usage instructions here, but first write the library...\n\n## Roadmap\n\n- [ ] Apetite\n\t- [ ] Vector Math\n\t\t- [ ] Matrix\n\t\t- [ ] NDArray\n\t\t- [x] Vector\n\t\t- [ ] Line\n\t\t- [ ] Plane\n\t\t- [ ] Polygon\n\t\t- [ ] LinkedList\n\t\n\n\n## Contributing\n\n1. Fork it (Cartesian unit vector I
"},{"id":"J","name":"J","value":"Vector::J","doc":"Cartesian unit vector J\n\n`Vector{0.0, 1.0, 0.0}`","summary":"Cartesian unit vector J
"},{"id":"K","name":"K","value":"Vector::K","doc":"Cartesian unit vector K\n\n`Vector{0.0, 0.0, 1.0}`","summary":"Cartesian unit vector K
"},{"id":"VERSION","name":"VERSION","value":"\"0.1.0\"","doc":null,"summary":null}],"included_modules":[{"html_id":"github.com/watzon/apatite/Apatite/LinearAlgebra","kind":"module","full_name":"Apatite::LinearAlgebra","name":"LinearAlgebra"}],"extended_modules":[{"html_id":"github.com/watzon/apatite/Apatite","kind":"module","full_name":"Apatite","name":"Apatite"}],"subclasses":[],"including_types":[],"namespace":null,"doc":"Apatite is a fundimental package for scientific computing in Crystal. If that\nsounds like a modified version of the first line from the NumPy homepage,\nthat's because it is. Apatite has (ok, will have) all of the goodness\nof NumPy sitting atop the blazing speed and beautiful syntax\nof Crystal.","summary":"Apatite is a fundimental package for scientific computing in Crystal.
","class_methods":[],"constructors":[],"instance_methods":[{"id":"as_vector(input:Indexable)-instance-method","html_id":"as_vector(input:Indexable)-instance-method","name":"as_vector","doc":"Creates a new vector from the given `input`. Input can be any\n`Indexable` type.","summary":"Creates a new vector from the given input.
Creates a standard basis-n vector of the given size and index.
Creates a matrix where the diagonal elements are composed of values.
Returns a new empty Vector
Creates a new empty matrix with the given row_count and column_count.
Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
Returns a new vector of size n filled with i
Creates a n x n identity matrix.
Returns a new vector filled with n ones.
Creates a new vector of size n filled with random numbers.
Creates a single-row matrix where the values of that row are as given in row.
Creates an n by n diagonal matrix where each diagonal element is value.
Creates a new vector of size n, and invokes the block once for each index of self, assigning the block's value in that index.
Returns a new vector filled with n zeros.
Calculates the sigmoid curve for a numeric input.
","abstract":false,"args":[{"name":"input","doc":null,"default_value":"","external_name":"input","restriction":"Number"}],"args_string":"(input : Number)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra.cr#L14","def":{"name":"sigmoid","args":[{"name":"input","doc":null,"default_value":"","external_name":"input","restriction":"Number"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"num = input.to_f64\n1 / (1 + (Math.exp(-num)))\n"}},{"id":"sigmoid_d(input:Number)-instance-method","html_id":"sigmoid_d(input:Number)-instance-method","name":"sigmoid_d","doc":"Calculates the derivative sigmoid curve for a numeric input.\n\n`f'(x) = f(x)(1 - f(x)),`","summary":"Calculates the derivative sigmoid curve for a numeric input.
","abstract":false,"args":[{"name":"input","doc":null,"default_value":"","external_name":"input","restriction":"Number"}],"args_string":"(input : Number)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra.cr#L22","def":{"name":"sigmoid_d","args":[{"name":"input","doc":null,"default_value":"","external_name":"input","restriction":"Number"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"num = input.to_f64\nnum * (1 - num)\n"}}],"macros":[],"types":[{"html_id":"github.com/watzon/apatite/Apatite/LinearAlgebra/Matrix","path":"Apatite/LinearAlgebra/Matrix.html","kind":"class","full_name":"Apatite::LinearAlgebra::Matrix","name":"Matrix","abstract":false,"superclass":{"html_id":"github.com/watzon/apatite/Reference","kind":"class","full_name":"Reference","name":"Reference"},"ancestors":[{"html_id":"github.com/watzon/apatite/Comparable","kind":"module","full_name":"Comparable","name":"Comparable"},{"html_id":"github.com/watzon/apatite/Indexable","kind":"module","full_name":"Indexable","name":"Indexable"},{"html_id":"github.com/watzon/apatite/Enumerable","kind":"module","full_name":"Enumerable","name":"Enumerable"},{"html_id":"github.com/watzon/apatite/Iterable","kind":"module","full_name":"Iterable","name":"Iterable"},{"html_id":"github.com/watzon/apatite/Enumerable","kind":"module","full_name":"Enumerable","name":"Enumerable"},{"html_id":"github.com/watzon/apatite/Reference","kind":"class","full_name":"Reference","name":"Reference"},{"html_id":"github.com/watzon/apatite/Object","kind":"class","full_name":"Object","name":"Object"}],"locations":[{"filename":"apatite/linear_algebra/matrix.cr","line_number":4,"url":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr"}],"repository_name":"github.com/watzon/apatite","program":false,"enum":false,"alias":false,"aliased":"","const":false,"constants":[],"included_modules":[{"html_id":"github.com/watzon/apatite/Comparable","kind":"module","full_name":"Comparable","name":"Comparable"},{"html_id":"github.com/watzon/apatite/Enumerable","kind":"module","full_name":"Enumerable","name":"Enumerable"},{"html_id":"github.com/watzon/apatite/Indexable","kind":"module","full_name":"Indexable","name":"Indexable"}],"extended_modules":[],"subclasses":[],"including_types":[],"namespace":{"html_id":"github.com/watzon/apatite/Apatite/LinearAlgebra","kind":"module","full_name":"Apatite::LinearAlgebra","name":"LinearAlgebra"},"doc":null,"summary":null,"class_methods":[{"id":"[](*rows)-class-method","html_id":"[](*rows)-class-method","name":"[]","doc":"Creates a matrix where each argument is a row.","summary":"Creates a matrix where each argument is a row.
","abstract":false,"args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"args_string":"(*rows)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L22","def":{"name":"[]","args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows(rows)"}},{"id":"build(row_count,column_count=row_count,&block)-class-method","html_id":"build(row_count,column_count=row_count,&block)-class-method","name":"build","doc":"Creates a matrix of size `row_count x column_count`. It fills the values by calling\nthe given block, passing the current row and column.","summary":"Creates a matrix of size row_count x column_count.
Creates a single-column matrix where the values of that column are as given in column.
","abstract":false,"args":[{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"args_string":"(column)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L39","def":{"name":"col_vector","args":[{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.new([column].transpose, 1)"}},{"id":"columns(columns)-class-method","html_id":"columns(columns)-class-method","name":"columns","doc":"Creates a matrix using `columns` as an array of column vectors.","summary":"Creates a matrix using .columns as an array of column vectors.
Creates a matrix where the diagonal elements are composed of values.
Creates a matrix where the diagonal elements are composed of values.
Creates a empty matrix of row_count x column_count.
Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
TODO
","abstract":false,"args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"matrices","doc":null,"default_value":"","external_name":"matrices","restriction":""}],"args_string":"(x, *matrices)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L103","def":{"name":"hstack","args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"matrices","doc":null,"default_value":"","external_name":"matrices","restriction":""}],"double_splat":null,"splat_index":1,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":""}},{"id":"identity(n)-class-method","html_id":"identity(n)-class-method","name":"identity","doc":"Creates a `n x n` identity matrix.","summary":"Creates a n x n identity matrix.
Creates a single-row matrix where the values of that row are as given in #row.
Creates a matrix where rows is an array of arrays, each of which is a row of the matrix.
","abstract":false,"args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"args_string":"(rows)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L117","def":{"name":"rows","args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"size = rows[0]? ? rows[0].size : 0\nrows.each do |row|\n if row.size == size\n else\n raise(\"Dimension mismatch: row size differs (#{row.size} should be #{size})\")\n end\nend\nMatrix.new(rows, size)\n"}},{"id":"scalar(n,value)-class-method","html_id":"scalar(n,value)-class-method","name":"scalar","doc":"Creates an `n` by `n` diagonal matrix where each diagonal element is value.","summary":"Creates an n by n diagonal matrix where each diagonal element is value.
TODO
","abstract":false,"args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"y","doc":null,"default_value":"","external_name":"y","restriction":""}],"args_string":"(x, y)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L131","def":{"name":"vstack","args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"y","doc":null,"default_value":"","external_name":"y","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":""}},{"id":"zero(row_count,column_count=row_count)-class-method","html_id":"zero(row_count,column_count=row_count)-class-method","name":"zero","doc":"Creates a zero matrix.","summary":"Creates a zero matrix.
","abstract":false,"args":[{"name":"row_count","doc":null,"default_value":"","external_name":"row_count","restriction":""},{"name":"column_count","doc":null,"default_value":"row_count","external_name":"column_count","restriction":""}],"args_string":"(row_count, column_count = row_count)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L135","def":{"name":"zero","args":[{"name":"row_count","doc":null,"default_value":"","external_name":"row_count","restriction":""},{"name":"column_count","doc":null,"default_value":"row_count","external_name":"column_count","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = Array.new(row_count) do\n Vector.new(column_count)\nend\nMatrix.new(rows, column_count)\n"}}],"constructors":[{"id":"new(rows,column_count:Int32?=nil)-class-method","html_id":"new(rows,column_count:Int32?=nil)-class-method","name":"new","doc":null,"summary":null,"abstract":false,"args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""},{"name":"column_count","doc":null,"default_value":"nil","external_name":"column_count","restriction":"Int32 | ::Nil"}],"args_string":"(rows, column_count : Int32? = nil)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L15","def":{"name":"new","args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""},{"name":"column_count","doc":null,"default_value":"nil","external_name":"column_count","restriction":"Int32 | ::Nil"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"_ = allocate\n_.initialize(rows, 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end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"*(int:Int)-instance-method","html_id":"*(int:Int)-instance-method","name":"*","doc":null,"summary":null,"abstract":false,"args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":"Int"}],"args_string":"(int : Int)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L154","def":{"name":"*","args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":"Int"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = self.rows.map do |row|\n row.map do |e|\n e * int\n end\nend\nMatrix.new(rows, column_count)\n"}},{"id":"*(ind:Indexable)-instance-method","html_id":"*(ind:Indexable)-instance-method","name":"*","doc":null,"summary":null,"abstract":false,"args":[{"name":"ind","doc":null,"default_value":"","external_name":"ind","restriction":"Indexable"}],"args_string":"(ind : Indexable)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L161","def":{"name":"*","args":[{"name":"ind","doc":null,"default_value":"","external_name":"ind","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"m = column_vector\nr = self * m\nr.column(0)\n"}},{"id":"**(int)-instance-method","html_id":"**(int)-instance-method","name":"**","doc":null,"summary":null,"abstract":false,"args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":""}],"args_string":"(int)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L167","def":{"name":"**","args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if int >= 1\nelse\n raise(\"Number can not the less than 1\")\nend\nmat = self\n(int - 1).times do\n mat = mat * self\nend\nmat\n"}},{"id":"+(other:Matrix)-instance-method","html_id":"+(other:Matrix)-instance-method","name":"+","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L176","def":{"name":"+","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if column_count != other.column_count\n raise(\"Dimension mismatch\")\nend\nrows = Array.new(row_count) do |i|\n Vector.new(other.column_count) do |j|\n self[i, j] + other[i, j]\n end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"+(vec:Indexable)-instance-method","html_id":"+(vec:Indexable)-instance-method","name":"+","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L188","def":{"name":"+","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vec = vec.is_a?(Vector) ? vec : Vector.create(vec)\nself + (column_vector(vec))\n"}},{"id":"-(vec:Indexable)-instance-method","html_id":"-(vec:Indexable)-instance-method","name":"-","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L205","def":{"name":"-","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vec = vec.is_a?(Vector) ? vec : Vector.create(vec)\nself + (column_vector(vec))\n"}},{"id":"-(other:Matrix)-instance-method","html_id":"-(other:Matrix)-instance-method","name":"-","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L193","def":{"name":"-","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if column_count != other.column_count\n raise(\"Dimension mismatch\")\nend\nrows = Array.new(row_count) do |i|\n Vector.new(other.column_count) do |j|\n self[i, j] - other[i, j]\n end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"/(other:Matrix)-instance-method","html_id":"/(other:Matrix)-instance-method","name":"/","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L210","def":{"name":"/","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self * other.inverse"}},{"id":"/(vec:Indexable)-instance-method","html_id":"/(vec:Indexable)-instance-method","name":"/","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L214","def":{"name":"/","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = self.rows.map do |row|\n row.map do |e|\n e / other\n end\nend\nreturn new_matrix(rows, column_count)\n"}},{"id":"==(other:Matrix)-instance-method","html_id":"==(other:Matrix)-instance-method","name":"==","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L221","def":{"name":"==","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if (Matrix === other) && (column_count == other.column_count)\nelse\n return false\nend\nrows == other.rows\n"}},{"id":"[](row:Int,col:Int)-instance-method","html_id":"[](row:Int,col:Int)-instance-method","name":"[]","doc":"Returns element `(row, col)` of the matrix. 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Returns the adjugate of the matrix.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/matrix.cr#L239","def":{"name":"adjugate","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if square?\nelse\n raise(\"Dimention mismatch: `Matrix#adjugate` requires a square matrix.\")\nend\nMatrix.build(row_count, column_count) do |row, column|\n cofactor(column, row)\nend\n"}},{"id":"cofactor(row,column)-instance-method","html_id":"cofactor(row,column)-instance-method","name":"cofactor","doc":"Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)","summary":"Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)
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arguments must be specified\"))\nend\nif square?\nelse\n raise(\"Dimention mismatch: `Matrix#determinant` requires a square matrix.\")\nend\nif empty?\n raise(\"laplace_expansion of empty matrix is not defined\")\nend\nif 0 <= num && num < row_count\nelse\n raise(ArgumentError.new(\"invalid num (#{num.inspect} for 0..#{row_count - 1})\"))\nend\nif row\n (row(num)).map_with_index do |e, k|\n e * (cofactor(num, k))\n end.reduce(&.+)\nelse\n (column(num)).map_with_index do |e, k|\n e * (cofactor(k, num))\n end.reduce(&.+)\nend\n"}},{"id":"pretty_print(pp):Nil-instance-method","html_id":"pretty_print(pp):Nil-instance-method","name":"pretty_print","doc":null,"summary":null,"abstract":false,"args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"args_string":"(pp) : 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Alias for #push
Combined comparison operator.
","abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":""}],"args_string":"(other)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L339","def":{"name":"<=>","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"min_size = Math.min(size, other.size)\n0.upto(min_size - 1) do |i|\n n = @buffer[i] <=> other.to_unsafe[i]\n if n != 0\n return n\n end\nend\nsize <=> other.size\n"}},{"id":"==(other:Vector)-instance-method","html_id":"==(other:Vector)-instance-method","name":"==","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"args_string":"(other : Vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L353","def":{"name":"==","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"equals?(other) do |x, y|\n x == y\nend"}},{"id":"[](start:Int,count:Int)-instance-method","html_id":"[](start:Int,count:Int)-instance-method","name":"[]","doc":"Returns count or less (if there aren't enough) elements starting at the\ngiven start index.\n\nNegative indices count backward from the end of the vector (-1 is the last\nelement). Additionally, an empty vector is returned when the starting index\nfor an element range is at the end of the vector.\n\nRaises `IndexError` if the starting index is out of range.\n\n```\nv = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nv[1, 3] # => Vector{2.0, 3.0, 4.0}\nv[6, 10] # raise IndexError\n```","summary":"Returns count or less (if there aren't enough) elements starting at the given start index.
","abstract":false,"args":[{"name":"start","doc":null,"default_value":"","external_name":"start","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"}],"args_string":"(start : Int, count : Int)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L191","def":{"name":"[]","args":[{"name":"start","doc":null,"default_value":"","external_name":"start","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if count < 0\n raise(ArgumentError.new(\"Negative count: #{count}\"))\nend\nif start == size\n return Vector.new\nend\nif start < 0\n start = start + size\nend\nif 0 <= start && start <= size\nelse\n raise(IndexError.new)\nend\nif count == 0\n return Vector.new\nend\ncount = Math.min(count, size - start)\nVector.build(count) do |buffer|\n buffer.copy_from(@buffer + start, count)\n count\nend\n"}},{"id":"[](range:Range(Int,Int))-instance-method","html_id":"[](range:Range(Int,Int))-instance-method","name":"[]","doc":"Returns all elements that are within the given range.\n\nNegative indices count backward from the end of the vector (-1 is the last\nelement). Additionally, an empty vector is returned when the starting index\nfor an element range is at the end of the vector.\n\nRaises `IndexError` if the starting index is out of range.\n\n```\nv = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nv[1..3] # => Vector{2.0, 3.0, 4.0}\nv[6..10] # raise IndexError\n```","summary":"Returns all elements that are within the given range.
","abstract":false,"args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"}],"args_string":"(range : Range(Int, Int))","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L173","def":{"name":"[]","args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self[*Indexable.range_to_index_and_count(range, size)]"}},{"id":"[]=(index:Int,count:Int,values:Vector)-instance-method","html_id":"[]=(index:Int,count:Int,values:Vector)-instance-method","name":"[]=","doc":"Replaces a subrange with the elements of the given vector.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = Vector{6.0, 7.0, 8.0}\nvec # = Vector{1.0, 6.0, 7.0, 8.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = Vector{6.0, 7.0}\nvec # = Vector{1.0, 6.0, 7.0, 5.0}\n```","summary":"Replaces a subrange with the elements of the given vector.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Vector"}],"args_string":"(index : Int, count : Int, values : Vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L297","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if count < 0\n raise(ArgumentError.new(\"Negative count: #{count}\"))\nend\nindex = check_index_out_of_bounds(index)\ncount = ((index + count) <= size) ? count : size - index\ndiff = values.size - count\nif diff == 0\n (@buffer + index).copy_from(values.to_unsafe, values.size)\nelse\n if diff < 0\n diff = -diff\n (@buffer + index).copy_from(values.to_unsafe, values.size)\n ((@buffer + index) + values.size).move_from((@buffer + index) + count, (size - index) - count)\n ((@buffer + @size) - diff).clear(diff)\n @size = @size - diff\n else\n resize_to_capacity(Math.pw2ceil(@size + diff))\n ((@buffer + index) + values.size).move_from((@buffer + index) + count, (size - index) - count)\n (@buffer + index).copy_from(values.to_unsafe, values.size)\n @size = @size + diff\n end\nend\nvalues\n"}},{"id":"[]=(index:Int,count:Int,value)-instance-method","html_id":"[]=(index:Int,count:Int,value)-instance-method","name":"[]=","doc":"Replaces a subrange with a single value. All elements in the range\n`index...index+count` are removed and replaced by a single element\n*value*.\n\nIf *count* is zero, *value* is inserted at *index*.\n\nNegative values of *index* count from the end of the vector.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 3] = 6.0\nvec # => Vector{1.0, 6.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1, 0] = 6.0\nvec # => Vector{1.0, 6.0, 2.0, 3.0, 4.0, 5.0}\n```","summary":"Replaces a subrange with a single value.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(index : Int, count : Int, value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L248","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"count","doc":null,"default_value":"","external_name":"count","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if count < 0\n raise(ArgumentError.new(\"Negative count: #{count}\"))\nend\nvalue = value.to_f64\nindex = check_index_out_of_bounds(index)\ncount = ((index + count) <= size) ? count : size - index\ncase count\nwhen 0\n insert(index, value)\nwhen 1\n @buffer[index] = value\nelse\n diff = count - 1\n ((@buffer + index) + 1).move_from((@buffer + index) + count, (size - index) - count)\n ((@buffer + @size) - diff).clear(diff)\n @buffer[index] = value\n @size = @size - diff\nend\nvalue\n"}},{"id":"[]=(index:Int,value)-instance-method","html_id":"[]=(index:Int,value)-instance-method","name":"[]=","doc":"Sets the given value at the given index.\n\nNegative indices can be used to start counting from the end of the array.\nRaises `IndexError` if trying to set an element outside the array's range.\n\n```\nvec = Vector{1.0, 2.0, 3.0}\nvec[0] = 5.0\np vec # => Vec{5.0, 2.0, 3.0}\n\nvec[3] = 5.0 # raises IndexError\n```","summary":"Sets the given value at the given index.
","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(index : Int, value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L226","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"index = check_index_out_of_bounds(index)\n@buffer[index] = value.to_f64\n"}},{"id":"[]=(range:Range(Int,Int),value)-instance-method","html_id":"[]=(range:Range(Int,Int),value)-instance-method","name":"[]=","doc":"Replaces a subrange with a single value.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1..3] = 6.0\nvec # = Vector{1.0, 6.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1...1] = 6\nvec # = Vector{1.0, 6.0, 2.0, 3.0, 4.0, 5.0}\n```","summary":"Replaces a subrange with a single value.
","abstract":false,"args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(range : Range(Int, Int), value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L282","def":{"name":"[]=","args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self[*Indexable.range_to_index_and_count(range, size)] = value.to_f64"}},{"id":"add(value)-instance-method","html_id":"add(value)-instance-method","name":"add","doc":"When the input is a number, this returns the result of adding\nit to all vector elements. When it's a vector, the vectors\nwill be added together.","summary":"When the input is a number, this returns the result of adding it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L488","def":{"name":"add","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a + b\nend"}},{"id":"angle_from(vector)-instance-method","html_id":"angle_from(vector)-instance-method","name":"angle_from","doc":"Returns the angle between this vector and another in radians.\nIf the vectors are mirrored across their axes this will return `nil`.","summary":"Returns the angle between this vector and another in radians.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L440","def":{"name":"angle_from","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = vector.is_a?(Vector) ? vector : Vector.create(vector)\nif size == v.size\nelse\n raise(\"Cannot compute the angle between vectors with different dimensionality\")\nend\ndot = 0_f64\nmod1 = 0_f64\nmod2 = 0_f64\n(zip(vector)).each do |x, v|\n dot = dot + (x * v)\n mod1 = mod1 + (x * x)\n mod2 = mod2 + (v * v)\nend\nmod1 = Math.sqrt(mod1)\nmod2 = Math.sqrt(mod2)\nif (mod2 * mod2) == 0\n return 0.0\nend\ntheta = (dot / (mod1 * mod2)).clamp(-1, 1)\nMath.acos(theta)\n"}},{"id":"antiparallel_to?(vector)-instance-method","html_id":"antiparallel_to?(vector)-instance-method","name":"antiparallel_to?","doc":"Returns whether the vectors are antiparallel to each other.","summary":"Returns whether the vectors are antiparallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L475","def":{"name":"antiparallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\n(angle - Math::PI).abs <= Apatite.precision\n"}},{"id":"augment(elements)-instance-method","html_id":"augment(elements)-instance-method","name":"augment","doc":"Returns a new vector with the provided `elements` concatenated\non the end.","summary":"Returns a new vector with the provided elements concatenated on the end.
Returns a new vector with the first n elements removed from the beginning.
Removes all elements from self.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L782","def":{"name":"clear","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@buffer.clear(@size)\n@size = 0\nself\n"}},{"id":"clone-instance-method","html_id":"clone-instance-method","name":"clone","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L374","def":{"name":"clone","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Vector.create(@elements.clone)"}},{"id":"concat(other:Vector)-instance-method","html_id":"concat(other:Vector)-instance-method","name":"concat","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"args_string":"(other : Vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L731","def":{"name":"concat","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"other_size = other.size\nnew_size = size + other_size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\n(@buffer + @size).copy_from(other.to_unsafe, other_size)\n@size = new_size\nself\n"}},{"id":"covector-instance-method","html_id":"covector-instance-method","name":"covector","doc":"Creates a single-row matrix from this vector.","summary":"Creates a single-row matrix from this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L601","def":{"name":"covector","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.row_vector(self)"}},{"id":"cross(*vs)-instance-method","html_id":"cross(*vs)-instance-method","name":"cross","doc":"Returns the cross product of this vector with the others.\n\n```\nv1 = Vector{1.0, 0.0, 0.0}\nv2 = Vector{0.0, 1.0, 0.0}\nv1.cross(v2) => Vector{0.0, 0.0, 1.0}\n```","summary":"Returns the cross product of this vector with the others.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L518","def":{"name":"cross","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if size >= 2\nelse\n raise(\"cross product is not defined on vectors of dimension #{size}\")\nend\nif vs.size == (size - 2)\nelse\n raise(ArgumentError.new(\"wrong number of arguments (#{vs.size} for #{size - 2})\"))\nend\nvs.each do |v|\n if v.size == size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\ncase size\nwhen 2\n Vector[-@buffer[1], @buffer[0]]\nwhen 3\n v = vs[0]\n Vector[(v[2] * @buffer[1]) - (v[1] * @buffer[2]), (v[0] * @buffer[2]) - (v[2] * @buffer[0]), (v[1] * @buffer[0]) - (v[0] * @buffer[1])]\nelse\nend\n"}},{"id":"distance_from(obj)-instance-method","html_id":"distance_from(obj)-instance-method","name":"distance_from","doc":"Gets this vector's distance from the argument, when considered\na point in space.","summary":"Gets this vector's distance from the argument, when considered a point in space.
","abstract":false,"args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"args_string":"(obj)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L629","def":{"name":"distance_from","args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if object.is_a?(Plane) || object.is_a?(Line)\n return object.distance_from(self)\nend\nv = elements.is_a?(Vector) ? elements.elements : elements\nif v.size == @elements.size\nelse\n return nil\nend\nsum = 0\npart = 0\neach_with_index do |x, i|\n part = x - v[i - 1]\n sum = sum + (part * part)\nend\nMath.sqrt(sum)\n"}},{"id":"dot(other)-instance-method","html_id":"dot(other)-instance-method","name":"dot","doc":"Get the scalar (dot) product of this vector with `vector`.\n\n[https://en.wikipedia.org/wiki/Scalar_product](https://en.wikipedia.org/wiki/Scalar_product)","summary":"Get the scalar (dot) product of this vector with vector.
Returns the ith element of the vector.
Returns true if all vectors are linearly independent.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L384","def":{"name":"independent?","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vs.each do |v|\n if v.size == vs.first.size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\nif vs.size > sv.first.size\n return false\nend\nMatrix[*vs].rank.equal?(vs.count)\n"}},{"id":"lies_in(plane)-instance-method","html_id":"lies_in(plane)-instance-method","name":"lies_in","doc":"Returns true if the vector is a point on the given plane.","summary":"Returns true if the vector is a point on the given plane.
","abstract":false,"args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"args_string":"(plane)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L654","def":{"name":"lies_in","args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"plane.contains(self)"}},{"id":"lies_on(line)-instance-method","html_id":"lies_on(line)-instance-method","name":"lies_on","doc":"Returns true if the vector is a point on the given line","summary":"Returns true if the vector is a point on the given line
","abstract":false,"args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"args_string":"(line)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L649","def":{"name":"lies_on","args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"line.contains(self)"}},{"id":"log-instance-method","html_id":"log-instance-method","name":"log","doc":"Return a new `Vector` with the log of every item in `self`.","summary":"Return a new Vector with the log of every item in self.
Returns the magnitude/euclidian norm of this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L419","def":{"name":"magnitude","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"sum = reduce(0.0) do |acc, e|\n acc = acc + (e * e)\nend\nMath.sqrt(sum)\n"}},{"id":"map(&block)-instance-method","html_id":"map(&block)-instance-method","name":"map","doc":"Invokes the given block for each element of `self`.","summary":"Invokes the given block for each element of self.
Invokes the given block for each element of self, replacing the element with the value returned by the block.
Optimized version of Enumerable#map_with_index.
Like #map_with_index, but mutates self instead of allocating a new object.
Returns the (absolute) largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L589","def":{"name":"max","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, i|\n i.abs > acc.abs ? i : acc\nend"}},{"id":"max_index-instance-method","html_id":"max_index-instance-method","name":"max_index","doc":"Gets the index of the largest element in this vector.","summary":"Gets the index of the largest element in this vector.
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Transpose this vector into a 1xn Matrix
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Tests whether all elements evaluate to true
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"},{"id":"J","name":"J","value":"Vector::J","doc":"Cartesian unit vector J","summary":"Cartesian unit vector J
"},{"id":"K","name":"K","value":"Vector::K","doc":"Cartesian unit vector K","summary":"Cartesian unit vector K
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Creates a single-column matrix where the values of that column are as given in column.
","abstract":false,"args":[{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"args_string":"(column)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L39","def":{"name":"col_vector","args":[{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.new([column].transpose, 1)"}},{"id":"columns(columns)-class-method","html_id":"columns(columns)-class-method","name":"columns","doc":"Creates a matrix using `columns` as an array of column vectors.","summary":"Creates a matrix using .columns as an array of column vectors.
Creates a matrix where the diagonal elements are composed of values.
Creates a matrix where the diagonal elements are composed of values.
Creates a empty matrix of row_count x column_count.
TODO
","abstract":false,"args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"matrices","doc":null,"default_value":"","external_name":"matrices","restriction":""}],"args_string":"(x, *matrices)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L97","def":{"name":"hstack","args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"matrices","doc":null,"default_value":"","external_name":"matrices","restriction":""}],"double_splat":null,"splat_index":1,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":""}},{"id":"identity(n)-class-method","html_id":"identity(n)-class-method","name":"identity","doc":"Creates a `n x n` identity matrix.","summary":"Creates a n x n identity matrix.
Creates a single-row matrix where the values of that row are as given in #row.
Creates a matrix where rows is an array of arrays, each of which is a row of the matrix.
","abstract":false,"args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"args_string":"(rows)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L111","def":{"name":"rows","args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"size = rows[0]? ? rows[0].size : 0\nrows.each do |row|\n if row.size == size\n else\n raise(\"Dimension mismatch: row size differs (#{row.size} should be #{size})\")\n end\nend\nMatrix.new(rows, size)\n"}},{"id":"scalar(n,value)-class-method","html_id":"scalar(n,value)-class-method","name":"scalar","doc":"Creates an `n` by `n` diagonal matrix where each diagonal element is value.","summary":"Creates an n by n diagonal matrix where each diagonal element is value.
TODO
","abstract":false,"args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"y","doc":null,"default_value":"","external_name":"y","restriction":""}],"args_string":"(x, y)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L125","def":{"name":"vstack","args":[{"name":"x","doc":null,"default_value":"","external_name":"x","restriction":""},{"name":"y","doc":null,"default_value":"","external_name":"y","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":""}},{"id":"zero(row_count,column_count=row_count)-class-method","html_id":"zero(row_count,column_count=row_count)-class-method","name":"zero","doc":"Creates a zero matrix.","summary":"Creates a zero matrix.
","abstract":false,"args":[{"name":"row_count","doc":null,"default_value":"","external_name":"row_count","restriction":""},{"name":"column_count","doc":null,"default_value":"row_count","external_name":"column_count","restriction":""}],"args_string":"(row_count, column_count = row_count)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L129","def":{"name":"zero","args":[{"name":"row_count","doc":null,"default_value":"","external_name":"row_count","restriction":""},{"name":"column_count","doc":null,"default_value":"row_count","external_name":"column_count","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = Array.new(row_count) do\n Vector.new(column_count)\nend\nMatrix.new(rows, column_count)\n"}}],"constructors":[{"id":"new(rows,column_count:Int32=rows[0].size)-class-method","html_id":"new(rows,column_count:Int32=rows[0].size)-class-method","name":"new","doc":null,"summary":null,"abstract":false,"args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""},{"name":"column_count","doc":null,"default_value":"rows[0].size","external_name":"column_count","restriction":"Int32"}],"args_string":"(rows, column_count : Int32 = rows[0].size)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L15","def":{"name":"new","args":[{"name":"rows","doc":null,"default_value":"","external_name":"rows","restriction":""},{"name":"column_count","doc":null,"default_value":"rows[0].size","external_name":"column_count","restriction":"Int32"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"_ = allocate\n_.initialize(rows, column_count)\nif _.responds_to?(:finalize)\n ::GC.add_finalizer(_)\nend\n_\n"}}],"instance_methods":[{"id":"*(other:Matrix)-instance-method","html_id":"*(other:Matrix)-instance-method","name":"*","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L134","def":{"name":"*","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if column_count != other.column_count\n raise(\"Dimension mismatch\")\nend\nrows = Array.new(row_count) do |i|\n Vector.new(other.column_count) do |j|\n (0...column_count).reduce(0.0) do |vij, k|\n vij + (self[i, k] * other[k, j])\n end\n end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"*(int:Int)-instance-method","html_id":"*(int:Int)-instance-method","name":"*","doc":null,"summary":null,"abstract":false,"args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":"Int"}],"args_string":"(int : Int)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L148","def":{"name":"*","args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":"Int"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = self.rows.map do |row|\n row.map do |e|\n e * int\n end\nend\nMatrix.new(rows, column_count)\n"}},{"id":"*(ind:Indexable)-instance-method","html_id":"*(ind:Indexable)-instance-method","name":"*","doc":null,"summary":null,"abstract":false,"args":[{"name":"ind","doc":null,"default_value":"","external_name":"ind","restriction":"Indexable"}],"args_string":"(ind : Indexable)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L155","def":{"name":"*","args":[{"name":"ind","doc":null,"default_value":"","external_name":"ind","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"m = column_vector\nr = self * m\nr.column(0)\n"}},{"id":"**(int)-instance-method","html_id":"**(int)-instance-method","name":"**","doc":null,"summary":null,"abstract":false,"args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":""}],"args_string":"(int)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L161","def":{"name":"**","args":[{"name":"int","doc":null,"default_value":"","external_name":"int","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if int >= 1\nelse\n raise(\"Number can not the less than 1\")\nend\nmat = self\n(int - 1).times do\n mat = mat * self\nend\nmat\n"}},{"id":"+(other:Matrix)-instance-method","html_id":"+(other:Matrix)-instance-method","name":"+","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L170","def":{"name":"+","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if column_count != other.column_count\n raise(\"Dimension mismatch\")\nend\nrows = Array.new(row_count) do |i|\n Vector.new(other.column_count) do |j|\n self[i, j] + other[i, j]\n end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"+(vec:Indexable)-instance-method","html_id":"+(vec:Indexable)-instance-method","name":"+","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L182","def":{"name":"+","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vec = vec.is_a?(Vector) ? vec : Vector.create(vec)\nself + (column_vector(vec))\n"}},{"id":"-(vec:Indexable)-instance-method","html_id":"-(vec:Indexable)-instance-method","name":"-","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L199","def":{"name":"-","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vec = vec.is_a?(Vector) ? vec : Vector.create(vec)\nself + (column_vector(vec))\n"}},{"id":"-(other:Matrix)-instance-method","html_id":"-(other:Matrix)-instance-method","name":"-","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L187","def":{"name":"-","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if column_count != other.column_count\n raise(\"Dimension mismatch\")\nend\nrows = Array.new(row_count) do |i|\n Vector.new(other.column_count) do |j|\n self[i, j] - other[i, j]\n end\nend\nreturn Matrix.new(rows, other.column_count)\n"}},{"id":"/(other:Matrix)-instance-method","html_id":"/(other:Matrix)-instance-method","name":"/","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L204","def":{"name":"/","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self * other.inverse"}},{"id":"/(vec:Indexable)-instance-method","html_id":"/(vec:Indexable)-instance-method","name":"/","doc":null,"summary":null,"abstract":false,"args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"args_string":"(vec : Indexable)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L208","def":{"name":"/","args":[{"name":"vec","doc":null,"default_value":"","external_name":"vec","restriction":"Indexable"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"rows = self.rows.map do |row|\n row.map do |e|\n e / other\n end\nend\nreturn new_matrix(rows, column_count)\n"}},{"id":"==(other:Matrix)-instance-method","html_id":"==(other:Matrix)-instance-method","name":"==","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"args_string":"(other : Matrix)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L215","def":{"name":"==","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Matrix"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if (Matrix === other) && (column_count == other.column_count)\nelse\n return false\nend\nrows == other.rows\n"}},{"id":"[](row:Int,col:Int)-instance-method","html_id":"[](row:Int,col:Int)-instance-method","name":"[]","doc":"Returns element `(row, col)` of the matrix. Throws error on index error.","summary":"Returns element (row, col) of the matrix.
Returns element (row, col) of the matrix, or nil if the index is not found.
Returns the adjugate of the matrix.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L233","def":{"name":"adjugate","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if square?\nelse\n raise(\"Dimention mismatch: `Matrix#adjugate` requires a square matrix.\")\nend\nMatrix.build(row_count, column_count) do |row, column|\n cofactor(column, row)\nend\n"}},{"id":"cofactor(row,column)-instance-method","html_id":"cofactor(row,column)-instance-method","name":"cofactor","doc":"Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)","summary":"Returns the (row, column) cofactor which is obtained by multiplying the first minor by (-1)**(row + column)
","abstract":false,"args":[{"name":"row","doc":null,"default_value":"","external_name":"row","restriction":""},{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"args_string":"(row, column)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L241","def":{"name":"cofactor","args":[{"name":"row","doc":null,"default_value":"","external_name":"row","restriction":""},{"name":"column","doc":null,"default_value":"","external_name":"column","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if empty?\n raise(\"cofactor of empty matrix is not defined\")\nend\nif square?\nelse\n raise(\"Dimention mismatch: `Matrix#cofactor` requires a square matrix.\")\nend\ndet_of_minor = (first_minor(row, column)).determinant\ndet_of_minor * ((-1.0) ** (row + column))\n"}},{"id":"column(j,&block)-instance-method","html_id":"column(j,&block)-instance-method","name":"column","doc":"Iterates over the specified column in the matrix, returning the Vector's items.","summary":"Iterates over the specified column in the matrix, returning the Vector's items.
","abstract":false,"args":[{"name":"j","doc":null,"default_value":"","external_name":"j","restriction":""}],"args_string":"(j, &block)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/matrix.cr#L268","def":{"name":"column","args":[{"name":"j","doc":null,"default_value":"","external_name":"j","restriction":""}],"double_splat":null,"splat_index":null,"yields":1,"block_arg":null,"return_type":"","visibility":"Public","body":"if j >= column_count || j < (-column_count)\n return self\nend\nrow_count.times do |i|\n yield rows[i][j]\nend\nself\n"}},{"id":"column(j)-instance-method","html_id":"column(j)-instance-method","name":"column","doc":"Returns column vector number `j` of the matrix as a `Vector` (starting at 0 like an array).","summary":"Returns column vector number j of the matrix as a Vector (starting at 0 like an array).
Returns column vector number j of the matrix as a Vector (starting at 0 like an array).
Returns an array of the column vectors of the matrix.
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Returns a new vector with the first n elements removed from the beginning.
Removes all elements from self.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L782","def":{"name":"clear","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@buffer.clear(@size)\n@size = 0\nself\n"}},{"id":"clone-instance-method","html_id":"clone-instance-method","name":"clone","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L374","def":{"name":"clone","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Vector.create(@elements.clone)"}},{"id":"concat(other:Vector)-instance-method","html_id":"concat(other:Vector)-instance-method","name":"concat","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"args_string":"(other : Vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L731","def":{"name":"concat","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"other_size = other.size\nnew_size = size + other_size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\n(@buffer + @size).copy_from(other.to_unsafe, other_size)\n@size = new_size\nself\n"}},{"id":"covector-instance-method","html_id":"covector-instance-method","name":"covector","doc":"Creates a single-row matrix from this vector.","summary":"Creates a single-row matrix from this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L601","def":{"name":"covector","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.row_vector(self)"}},{"id":"cross(*vs)-instance-method","html_id":"cross(*vs)-instance-method","name":"cross","doc":"Returns the cross product of this vector with the others.\n\n```\nv1 = Vector{1.0, 0.0, 0.0}\nv2 = Vector{0.0, 1.0, 0.0}\nv1.cross(v2) => Vector{0.0, 0.0, 1.0}\n```","summary":"Returns the cross product of this vector with the others.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L518","def":{"name":"cross","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if size >= 2\nelse\n raise(\"cross product is not defined on vectors of dimension #{size}\")\nend\nif vs.size == (size - 2)\nelse\n raise(ArgumentError.new(\"wrong number of arguments (#{vs.size} for #{size - 2})\"))\nend\nvs.each do |v|\n if v.size == size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\ncase size\nwhen 2\n Vector[-@buffer[1], @buffer[0]]\nwhen 3\n v = vs[0]\n Vector[(v[2] * @buffer[1]) - (v[1] * @buffer[2]), (v[0] * @buffer[2]) - (v[2] * @buffer[0]), (v[1] * @buffer[0]) - (v[0] * @buffer[1])]\nelse\nend\n"}},{"id":"distance_from(obj)-instance-method","html_id":"distance_from(obj)-instance-method","name":"distance_from","doc":"Gets this vector's distance from the argument, when considered\na point in space.","summary":"Gets this vector's distance from the argument, when considered a point in space.
","abstract":false,"args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"args_string":"(obj)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L629","def":{"name":"distance_from","args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if object.is_a?(Plane) || object.is_a?(Line)\n return object.distance_from(self)\nend\nv = elements.is_a?(Vector) ? elements.elements : elements\nif v.size == @elements.size\nelse\n return nil\nend\nsum = 0\npart = 0\neach_with_index do |x, i|\n part = x - v[i - 1]\n sum = sum + (part * part)\nend\nMath.sqrt(sum)\n"}},{"id":"dot(other)-instance-method","html_id":"dot(other)-instance-method","name":"dot","doc":"Get the scalar (dot) product of this vector with `vector`.\n\n[https://en.wikipedia.org/wiki/Scalar_product](https://en.wikipedia.org/wiki/Scalar_product)","summary":"Get the scalar (dot) product of this vector with vector.
Returns the ith element of the vector.
Returns true if all vectors are linearly independent.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L384","def":{"name":"independent?","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vs.each do |v|\n if v.size == vs.first.size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\nif vs.size > sv.first.size\n return false\nend\nMatrix[*vs].rank.equal?(vs.count)\n"}},{"id":"lies_in(plane)-instance-method","html_id":"lies_in(plane)-instance-method","name":"lies_in","doc":"Returns true if the vector is a point on the given plane.","summary":"Returns true if the vector is a point on the given plane.
","abstract":false,"args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"args_string":"(plane)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L654","def":{"name":"lies_in","args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"plane.contains(self)"}},{"id":"lies_on(line)-instance-method","html_id":"lies_on(line)-instance-method","name":"lies_on","doc":"Returns true if the vector is a point on the given line","summary":"Returns true if the vector is a point on the given line
","abstract":false,"args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"args_string":"(line)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L649","def":{"name":"lies_on","args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"line.contains(self)"}},{"id":"log-instance-method","html_id":"log-instance-method","name":"log","doc":"Return a new `Vector` with the log of every item in `self`.","summary":"Return a new Vector with the log of every item in self.
Returns the magnitude/euclidian norm of this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L419","def":{"name":"magnitude","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"sum = reduce(0.0) do |acc, e|\n acc = acc + (e * e)\nend\nMath.sqrt(sum)\n"}},{"id":"map(&block)-instance-method","html_id":"map(&block)-instance-method","name":"map","doc":"Invokes the given block for each element of `self`.","summary":"Invokes the given block for each element of self.
Invokes the given block for each element of self, replacing the element with the value returned by the block.
Optimized version of Enumerable#map_with_index.
Like #map_with_index, but mutates self instead of allocating a new object.
Returns the (absolute) largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L589","def":{"name":"max","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, i|\n i.abs > acc.abs ? i : acc\nend"}},{"id":"max_index-instance-method","html_id":"max_index-instance-method","name":"max_index","doc":"Gets the index of the largest element in this vector.","summary":"Gets the index of the largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L594","def":{"name":"max_index","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"idx = 0\neach_with_index do |e, i|\n idx = e.abs > self[idx].abs ? i : idx\nend\nidx\n"}},{"id":"multiply(value)-instance-method","html_id":"multiply(value)-instance-method","name":"multiply","doc":"When the input is a number, this returns the result of multiplying\nit to all vector elements. When it's a vector, the vectors\nwill be element-wise multiplied.","summary":"When the input is a number, this returns the result of multiplying it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L502","def":{"name":"multiply","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a * b\nend"}},{"id":"parallel_to?(vector)-instance-method","html_id":"parallel_to?(vector)-instance-method","name":"parallel_to?","doc":"Returns whether the vectors are parallel to each other.","summary":"Returns whether the vectors are parallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L469","def":{"name":"parallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\nangle <= Apatite.precision\n"}},{"id":"perpendicular_to?(vector)-instance-method","html_id":"perpendicular_to?(vector)-instance-method","name":"perpendicular_to?","doc":"Returns whether the vectors are perpendicular to each other.","summary":"Returns whether the vectors are perpendicular to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L481","def":{"name":"perpendicular_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"(dot(vector)).abs <= Apatite.precision"}},{"id":"pretty_print(pp):Nil-instance-method","html_id":"pretty_print(pp):Nil-instance-method","name":"pretty_print","doc":null,"summary":null,"abstract":false,"args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"args_string":"(pp) : Nil","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L754","def":{"name":"pretty_print","args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Nil","visibility":"Public","body":"pp.list(\"Vector{\", self, \"}\")"}},{"id":"product-instance-method","html_id":"product-instance-method","name":"product","doc":"Get the product of all elements in this vector.","summary":"Get the product of all elements in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L567","def":{"name":"product","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, v|\n acc = acc * v\nend"}},{"id":"push(*values:Float64)-instance-method","html_id":"push(*values:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"args_string":"(*values : Float64)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L665","def":{"name":"push","args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"new_size = @size + values.size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\nvalues.each_with_index do |value, i|\n @buffer[@size + i] = value\nend\n@size = new_size\nself\n"}},{"id":"push(value:Float64)-instance-method","html_id":"push(value:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"args_string":"(value : Float64)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L658","def":{"name":"push","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"check_needs_resize\n@buffer[@size] = value\n@size = @size + 1\nself\n"}},{"id":"reflection_in(object)-instance-method","html_id":"reflection_in(object)-instance-method","name":"reflection_in","doc":"Returns the result of reflecting the point in the given `object`\n(point, line, or plane).","summary":"Returns the result of reflecting the point in the given object (point, line, or plane).
Rotates the vector about the given object.
Gets the result of rounding the elements of the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L612","def":{"name":"round","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"map do |x|\n x.round\nend"}},{"id":"set_elements(elements)-instance-method","html_id":"set_elements(elements)-instance-method","name":"set_elements","doc":null,"summary":null,"abstract":false,"args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"args_string":"(elements)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L726","def":{"name":"set_elements","args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@elements = elements.is_a?(Vector) ? elements.elements : elements\nself\n"}},{"id":"sigmoid-instance-method","html_id":"sigmoid-instance-method","name":"sigmoid","doc":"Sums the numbers in the vector and returns a sigmoid value\nacross the whole vector.","summary":"Sums the numbers in the vector and returns a sigmoid value across the whole vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L707","def":{"name":"sigmoid","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"LinearAlgebra.sigmoid(sum)"}},{"id":"size:Int32-instance-method","html_id":"size:Int32-instance-method","name":"size","doc":"Returns the number of elements in the vector","summary":"Returns the number of elements in the vector
","abstract":false,"args":[],"args_string":" : Int32","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L24","def":{"name":"size","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Int32","visibility":"Public","body":"@size"}},{"id":"snap_to(value)-instance-method","html_id":"snap_to(value)-instance-method","name":"snap_to","doc":"Returns a copy of the vector with elements set to `value` if\nthey differ from it by less than `Apetite.precision`","summary":"Returns a copy of the vector with elements set to value if they differ from it by less than Apetite.precision
When the input is a number, this returns the result of subtracting it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L495","def":{"name":"subtract","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a - b\nend"}},{"id":"sum-instance-method","html_id":"sum-instance-method","name":"sum","doc":"Returns the sum of all elements in the vector.","summary":"Returns the sum of all elements in the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L507","def":{"name":"sum","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce(0) do |acc, i|\n acc + i\nend"}},{"id":"to_3d-instance-method","html_id":"to_3d-instance-method","name":"to_3d","doc":"Utility to make sure vectors are 3D. If they are 2D, a zero\nz-component is added.","summary":"Utility to make sure vectors are 3D.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L713","def":{"name":"to_3d","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = dup\ncase v.elements.size\nwhen 3\n break\nwhen 2\n v.elements.push(0)\nelse\n return nil\nend\nreturn v\n"}},{"id":"to_a-instance-method","html_id":"to_a-instance-method","name":"to_a","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/linear_algebra/vector.cr#L744","def":{"name":"to_a","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Array(Float64).new(size) do |i|\n self[i]\nend"}},{"id":"to_diagonal_matrix-instance-method","html_id":"to_diagonal_matrix-instance-method","name":"to_diagonal_matrix","doc":"Returns a diagonal `Matrix` with the vectors elements as its\ndiagonal elements.","summary":"Returns a diagonal Matrix with the vectors elements as its diagonal elements.
Returns a new vector created by normalizing this one to have a magnitude of 1.
Returns a pointer to the internal buffer where self's elements are stored.
Returns a vector containing only the first n elements.
Transpose this vector into a 1xn Matrix
An Array is an ordered, integer-indexed collection of objects of type T.
Tests whether all elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L3","def":{"name":"all?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == false\n return false\n end\nend\ntrue\n"}},{"id":"any?-instance-method","html_id":"any?-instance-method","name":"any?","doc":"Tests whether any of the elements evaluate to true","summary":"Tests whether any of the elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L11","def":{"name":"any?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == true\n return true\n end\nend\nfalse\n"}},{"id":"shape-instance-method","html_id":"shape-instance-method","name":"shape","doc":"Get the array's dimensions","summary":"Get the array's dimensions
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L19","def":{"name":"shape","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"max = max_by do |i|\n i.is_a?(Array) ? i.size : i\nend\nmax.is_a?(Array) ? [size, max.size] : [max]\n"}},{"id":"to_vec-instance-method","html_id":"to_vec-instance-method","name":"to_vec","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/6c8ee1fded2782d2cc9fcd30ca82bd149f6eb9a3/src/apatite/core_ext/array.cr#L24","def":{"name":"to_vec","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Apatite::Vector.create(self)"}}],"macros":[],"types":[]}]}}) \ No newline at end of file +crystal_doc_search_index_callback({"repository_name":"github.com/watzon/apatite","body":"# Apatite\n\nApatite is meant to be a collecion of mathmatical and scientific computing algorithms for the Crystal programming language. I don't expect it to ever reach the level of completeness as numpy, but hopefully it can save some people the trouble of implementing these methods on their own.\n\n## Installation\n\n1. Add the dependency to your `shard.yml`:\n\n ```yaml\n dependencies:\n apatite:\n github: watzon/apatite\n ```\n\n2. Run `shards install`\n\n## Usage\n\n```crystal\nrequire \"apatite\"\n```\n\nTODO: Write usage instructions here, but first write the library...\n\n## Roadmap\n\n- [ ] Apetite\n\t- [ ] Vector Math\n\t\t- [ ] Matrix\n\t\t- [ ] NDArray\n\t\t- [x] Vector\n\t\t- [ ] Line\n\t\t- [ ] Plane\n\t\t- [ ] Polygon\n\t\t- [ ] LinkedList\n\t\n\n\n## Contributing\n\n1. Fork it (Cartesian unit vector I
"},{"id":"J","name":"J","value":"Vector::J","doc":"Cartesian unit vector J\n\n`Vector{0.0, 1.0, 0.0}`","summary":"Cartesian unit vector J
"},{"id":"K","name":"K","value":"Vector::K","doc":"Cartesian unit vector K\n\n`Vector{0.0, 0.0, 1.0}`","summary":"Cartesian unit vector K
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","class_methods":[],"constructors":[],"instance_methods":[{"id":"as_vector(input:Indexable)-instance-method","html_id":"as_vector(input:Indexable)-instance-method","name":"as_vector","doc":"Creates a new vector from the given `input`. Input can be any\n`Indexable` type.","summary":"Creates a new vector from the given input.
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Creates a new empty matrix with the given row_count and column_count.
Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
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Creates a n x n identity matrix.
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Creates a new vector of size n filled with random numbers.
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Calculates the sigmoid curve for a numeric input.
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Creates a new diagonal matrix of size n with ones in the diagonal and zeros elsewhere.
TODO
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TODO
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arguments must be specified\"))\nend\nif square?\nelse\n raise(\"Dimention mismatch: `Matrix#determinant` requires a square matrix.\")\nend\nif empty?\n raise(\"laplace_expansion of empty matrix is not defined\")\nend\nif 0 <= num && num < row_count\nelse\n raise(ArgumentError.new(\"invalid num (#{num.inspect} for 0..#{row_count - 1})\"))\nend\nif row\n (row(num)).map_with_index do |e, k|\n e * (cofactor(num, k))\n end.reduce(&.+)\nelse\n (column(num)).map_with_index do |e, k|\n e * (cofactor(k, num))\n end.reduce(&.+)\nend\n"}},{"id":"pretty_print(pp):Nil-instance-method","html_id":"pretty_print(pp):Nil-instance-method","name":"pretty_print","doc":null,"summary":null,"abstract":false,"args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"args_string":"(pp) : 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","abstract":false,"args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(index : Int, value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L226","def":{"name":"[]=","args":[{"name":"index","doc":null,"default_value":"","external_name":"index","restriction":"Int"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"index = check_index_out_of_bounds(index)\n@buffer[index] = value.to_f64\n"}},{"id":"[]=(range:Range(Int,Int),value)-instance-method","html_id":"[]=(range:Range(Int,Int),value)-instance-method","name":"[]=","doc":"Replaces a subrange with a single value.\n\n```\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1..3] = 6.0\nvec # = Vector{1.0, 6.0, 5.0}\n\nvec = Vector{1.0, 2.0, 3.0, 4.0, 5.0}\nvec[1...1] = 6\nvec # = Vector{1.0, 6.0, 2.0, 3.0, 4.0, 5.0}\n```","summary":"Replaces a subrange with a single value.
","abstract":false,"args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(range : Range(Int, Int), value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L282","def":{"name":"[]=","args":[{"name":"range","doc":null,"default_value":"","external_name":"range","restriction":"Range(Int, Int)"},{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"self[*Indexable.range_to_index_and_count(range, size)] = value.to_f64"}},{"id":"add(value)-instance-method","html_id":"add(value)-instance-method","name":"add","doc":"When the input is a number, this returns the result of adding\nit to all vector elements. When it's a vector, the vectors\nwill be added together.","summary":"When the input is a number, this returns the result of adding it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L488","def":{"name":"add","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a + b\nend"}},{"id":"angle_from(vector)-instance-method","html_id":"angle_from(vector)-instance-method","name":"angle_from","doc":"Returns the angle between this vector and another in radians.\nIf the vectors are mirrored across their axes this will return `nil`.","summary":"Returns the angle between this vector and another in radians.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L440","def":{"name":"angle_from","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = vector.is_a?(Vector) ? vector : Vector.create(vector)\nif size == v.size\nelse\n raise(\"Cannot compute the angle between vectors with different dimensionality\")\nend\ndot = 0_f64\nmod1 = 0_f64\nmod2 = 0_f64\n(zip(vector)).each do |x, v|\n dot = dot + (x * v)\n mod1 = mod1 + (x * x)\n mod2 = mod2 + (v * v)\nend\nmod1 = Math.sqrt(mod1)\nmod2 = Math.sqrt(mod2)\nif (mod2 * mod2) == 0\n return 0.0\nend\ntheta = (dot / (mod1 * mod2)).clamp(-1, 1)\nMath.acos(theta)\n"}},{"id":"antiparallel_to?(vector)-instance-method","html_id":"antiparallel_to?(vector)-instance-method","name":"antiparallel_to?","doc":"Returns whether the vectors are antiparallel to each other.","summary":"Returns whether the vectors are antiparallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L475","def":{"name":"antiparallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\n(angle - Math::PI).abs <= Apatite.precision\n"}},{"id":"augment(elements)-instance-method","html_id":"augment(elements)-instance-method","name":"augment","doc":"Returns a new vector with the provided `elements` concatenated\non the end.","summary":"Returns a new vector with the provided elements concatenated on the end.
Returns a new vector with the first n elements removed from the beginning.
Removes all elements from self.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L782","def":{"name":"clear","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@buffer.clear(@size)\n@size = 0\nself\n"}},{"id":"clone-instance-method","html_id":"clone-instance-method","name":"clone","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L374","def":{"name":"clone","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Vector.create(@elements.clone)"}},{"id":"concat(other:Vector)-instance-method","html_id":"concat(other:Vector)-instance-method","name":"concat","doc":null,"summary":null,"abstract":false,"args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"args_string":"(other : Vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L731","def":{"name":"concat","args":[{"name":"other","doc":null,"default_value":"","external_name":"other","restriction":"Vector"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"other_size = other.size\nnew_size = size + other_size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\n(@buffer + @size).copy_from(other.to_unsafe, other_size)\n@size = new_size\nself\n"}},{"id":"covector-instance-method","html_id":"covector-instance-method","name":"covector","doc":"Creates a single-row matrix from this vector.","summary":"Creates a single-row matrix from this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L601","def":{"name":"covector","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Matrix.row_vector(self)"}},{"id":"cross(*vs)-instance-method","html_id":"cross(*vs)-instance-method","name":"cross","doc":"Returns the cross product of this vector with the others.\n\n```\nv1 = Vector{1.0, 0.0, 0.0}\nv2 = Vector{0.0, 1.0, 0.0}\nv1.cross(v2) => Vector{0.0, 0.0, 1.0}\n```","summary":"Returns the cross product of this vector with the others.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L518","def":{"name":"cross","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if size >= 2\nelse\n raise(\"cross product is not defined on vectors of dimension #{size}\")\nend\nif vs.size == (size - 2)\nelse\n raise(ArgumentError.new(\"wrong number of arguments (#{vs.size} for #{size - 2})\"))\nend\nvs.each do |v|\n if v.size == size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\ncase size\nwhen 2\n Vector[-@buffer[1], @buffer[0]]\nwhen 3\n v = vs[0]\n Vector[(v[2] * @buffer[1]) - (v[1] * @buffer[2]), (v[0] * @buffer[2]) - (v[2] * @buffer[0]), (v[1] * @buffer[0]) - (v[0] * @buffer[1])]\nelse\nend\n"}},{"id":"distance_from(obj)-instance-method","html_id":"distance_from(obj)-instance-method","name":"distance_from","doc":"Gets this vector's distance from the argument, when considered\na point in space.","summary":"Gets this vector's distance from the argument, when considered a point in space.
","abstract":false,"args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"args_string":"(obj)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L629","def":{"name":"distance_from","args":[{"name":"obj","doc":null,"default_value":"","external_name":"obj","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"if object.is_a?(Plane) || object.is_a?(Line)\n return object.distance_from(self)\nend\nv = elements.is_a?(Vector) ? elements.elements : elements\nif v.size == @elements.size\nelse\n return nil\nend\nsum = 0\npart = 0\neach_with_index do |x, i|\n part = x - v[i - 1]\n sum = sum + (part * part)\nend\nMath.sqrt(sum)\n"}},{"id":"dot(other)-instance-method","html_id":"dot(other)-instance-method","name":"dot","doc":"Get the scalar (dot) product of this vector with `vector`.\n\n[https://en.wikipedia.org/wiki/Scalar_product](https://en.wikipedia.org/wiki/Scalar_product)","summary":"Get the scalar (dot) product of this vector with vector.
Returns the ith element of the vector.
Returns true if all vectors are linearly independent.
","abstract":false,"args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"args_string":"(*vs)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L384","def":{"name":"independent?","args":[{"name":"vs","doc":null,"default_value":"","external_name":"vs","restriction":""}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"vs.each do |v|\n if v.size == vs.first.size\n else\n raise(\"Dimension mismatch. Vectors not all the same size.\")\n end\nend\nif vs.size > sv.first.size\n return false\nend\nMatrix[*vs].rank.equal?(vs.count)\n"}},{"id":"lies_in(plane)-instance-method","html_id":"lies_in(plane)-instance-method","name":"lies_in","doc":"Returns true if the vector is a point on the given plane.","summary":"Returns true if the vector is a point on the given plane.
","abstract":false,"args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"args_string":"(plane)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L654","def":{"name":"lies_in","args":[{"name":"plane","doc":null,"default_value":"","external_name":"plane","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"plane.contains(self)"}},{"id":"lies_on(line)-instance-method","html_id":"lies_on(line)-instance-method","name":"lies_on","doc":"Returns true if the vector is a point on the given line","summary":"Returns true if the vector is a point on the given line
","abstract":false,"args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"args_string":"(line)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L649","def":{"name":"lies_on","args":[{"name":"line","doc":null,"default_value":"","external_name":"line","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"line.contains(self)"}},{"id":"log-instance-method","html_id":"log-instance-method","name":"log","doc":"Return a new `Vector` with the log of every item in `self`.","summary":"Return a new Vector with the log of every item in self.
Returns the magnitude/euclidian norm of this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L419","def":{"name":"magnitude","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"sum = reduce(0.0) do |acc, e|\n acc = acc + (e * e)\nend\nMath.sqrt(sum)\n"}},{"id":"map(&block)-instance-method","html_id":"map(&block)-instance-method","name":"map","doc":"Invokes the given block for each element of `self`.","summary":"Invokes the given block for each element of self.
Invokes the given block for each element of self, replacing the element with the value returned by the block.
Optimized version of Enumerable#map_with_index.
Like #map_with_index, but mutates self instead of allocating a new object.
Returns the (absolute) largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L589","def":{"name":"max","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, i|\n i.abs > acc.abs ? i : acc\nend"}},{"id":"max_index-instance-method","html_id":"max_index-instance-method","name":"max_index","doc":"Gets the index of the largest element in this vector.","summary":"Gets the index of the largest element in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L594","def":{"name":"max_index","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"idx = 0\neach_with_index do |e, i|\n idx = e.abs > self[idx].abs ? i : idx\nend\nidx\n"}},{"id":"multiply(value)-instance-method","html_id":"multiply(value)-instance-method","name":"multiply","doc":"When the input is a number, this returns the result of multiplying\nit to all vector elements. When it's a vector, the vectors\nwill be element-wise multiplied.","summary":"When the input is a number, this returns the result of multiplying it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L502","def":{"name":"multiply","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a * b\nend"}},{"id":"parallel_to?(vector)-instance-method","html_id":"parallel_to?(vector)-instance-method","name":"parallel_to?","doc":"Returns whether the vectors are parallel to each other.","summary":"Returns whether the vectors are parallel to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L469","def":{"name":"parallel_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"angle = angle_from(vector)\nangle <= Apatite.precision\n"}},{"id":"perpendicular_to?(vector)-instance-method","html_id":"perpendicular_to?(vector)-instance-method","name":"perpendicular_to?","doc":"Returns whether the vectors are perpendicular to each other.","summary":"Returns whether the vectors are perpendicular to each other.
","abstract":false,"args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"args_string":"(vector)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L481","def":{"name":"perpendicular_to?","args":[{"name":"vector","doc":null,"default_value":"","external_name":"vector","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"(dot(vector)).abs <= Apatite.precision"}},{"id":"pretty_print(pp):Nil-instance-method","html_id":"pretty_print(pp):Nil-instance-method","name":"pretty_print","doc":null,"summary":null,"abstract":false,"args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"args_string":"(pp) : Nil","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L754","def":{"name":"pretty_print","args":[{"name":"pp","doc":null,"default_value":"","external_name":"pp","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Nil","visibility":"Public","body":"pp.list(\"Vector{\", self, \"}\")"}},{"id":"product-instance-method","html_id":"product-instance-method","name":"product","doc":"Get the product of all elements in this vector.","summary":"Get the product of all elements in this vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L567","def":{"name":"product","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce do |acc, v|\n acc = acc * v\nend"}},{"id":"push(*values:Float64)-instance-method","html_id":"push(*values:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"args_string":"(*values : Float64)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L665","def":{"name":"push","args":[{"name":"values","doc":null,"default_value":"","external_name":"values","restriction":"Float64"}],"double_splat":null,"splat_index":0,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"new_size = @size + values.size\nif new_size > @capacity\n resize_to_capacity(Math.pw2ceil(new_size))\nend\nvalues.each_with_index do |value, i|\n @buffer[@size + i] = value\nend\n@size = new_size\nself\n"}},{"id":"push(value:Float64)-instance-method","html_id":"push(value:Float64)-instance-method","name":"push","doc":null,"summary":null,"abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"args_string":"(value : Float64)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L658","def":{"name":"push","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":"Float64"}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"check_needs_resize\n@buffer[@size] = value\n@size = @size + 1\nself\n"}},{"id":"reflection_in(object)-instance-method","html_id":"reflection_in(object)-instance-method","name":"reflection_in","doc":"Returns the result of reflecting the point in the given `object`\n(point, line, or plane).","summary":"Returns the result of reflecting the point in the given object (point, line, or plane).
Rotates the vector about the given object.
Gets the result of rounding the elements of the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L612","def":{"name":"round","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"map do |x|\n x.round\nend"}},{"id":"set_elements(elements)-instance-method","html_id":"set_elements(elements)-instance-method","name":"set_elements","doc":null,"summary":null,"abstract":false,"args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"args_string":"(elements)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L726","def":{"name":"set_elements","args":[{"name":"elements","doc":null,"default_value":"","external_name":"elements","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"@elements = elements.is_a?(Vector) ? elements.elements : elements\nself\n"}},{"id":"sigmoid-instance-method","html_id":"sigmoid-instance-method","name":"sigmoid","doc":"Sums the numbers in the vector and returns a sigmoid value\nacross the whole vector.","summary":"Sums the numbers in the vector and returns a sigmoid value across the whole vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L707","def":{"name":"sigmoid","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"LinearAlgebra.sigmoid(sum)"}},{"id":"size:Int32-instance-method","html_id":"size:Int32-instance-method","name":"size","doc":"Returns the number of elements in the vector","summary":"Returns the number of elements in the vector
","abstract":false,"args":[],"args_string":" : Int32","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L24","def":{"name":"size","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"Int32","visibility":"Public","body":"@size"}},{"id":"snap_to(value)-instance-method","html_id":"snap_to(value)-instance-method","name":"snap_to","doc":"Returns a copy of the vector with elements set to `value` if\nthey differ from it by less than `Apetite.precision`","summary":"Returns a copy of the vector with elements set to value if they differ from it by less than Apetite.precision
When the input is a number, this returns the result of subtracting it to all vector elements.
","abstract":false,"args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"args_string":"(value)","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L495","def":{"name":"subtract","args":[{"name":"value","doc":null,"default_value":"","external_name":"value","restriction":""}],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"run_binary_op(value) do |a, b|\n a - b\nend"}},{"id":"sum-instance-method","html_id":"sum-instance-method","name":"sum","doc":"Returns the sum of all elements in the vector.","summary":"Returns the sum of all elements in the vector.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L507","def":{"name":"sum","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"reduce(0) do |acc, i|\n acc + i\nend"}},{"id":"to_3d-instance-method","html_id":"to_3d-instance-method","name":"to_3d","doc":"Utility to make sure vectors are 3D. If they are 2D, a zero\nz-component is added.","summary":"Utility to make sure vectors are 3D.
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L713","def":{"name":"to_3d","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"v = dup\ncase v.elements.size\nwhen 3\n break\nwhen 2\n v.elements.push(0)\nelse\n return nil\nend\nreturn v\n"}},{"id":"to_a-instance-method","html_id":"to_a-instance-method","name":"to_a","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/linear_algebra/vector.cr#L744","def":{"name":"to_a","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Array(Float64).new(size) do |i|\n self[i]\nend"}},{"id":"to_diagonal_matrix-instance-method","html_id":"to_diagonal_matrix-instance-method","name":"to_diagonal_matrix","doc":"Returns a diagonal `Matrix` with the vectors elements as its\ndiagonal elements.","summary":"Returns a diagonal Matrix with the vectors elements as its diagonal elements.
Returns a new vector created by normalizing this one to have a magnitude of 1.
Returns a pointer to the internal buffer where self's elements are stored.
Returns a vector containing only the first n elements.
Transpose this vector into a 1xn Matrix
An Array is an ordered, integer-indexed collection of objects of type T.
Tests whether all elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/core_ext/array.cr#L3","def":{"name":"all?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == false\n return false\n end\nend\ntrue\n"}},{"id":"any?-instance-method","html_id":"any?-instance-method","name":"any?","doc":"Tests whether any of the elements evaluate to true","summary":"Tests whether any of the elements evaluate to true
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/core_ext/array.cr#L11","def":{"name":"any?","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"each do |i|\n if (!(!i)) == true\n return true\n end\nend\nfalse\n"}},{"id":"shape-instance-method","html_id":"shape-instance-method","name":"shape","doc":"Get the array's dimensions","summary":"Get the array's dimensions
","abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/core_ext/array.cr#L19","def":{"name":"shape","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"max = max_by do |i|\n i.is_a?(Array) ? i.size : i\nend\nmax.is_a?(Array) ? [size, max.size] : [max]\n"}},{"id":"to_vec-instance-method","html_id":"to_vec-instance-method","name":"to_vec","doc":null,"summary":null,"abstract":false,"args":[],"args_string":"","source_link":"https://github.com/watzon/apatite/blob/bb0f2c43324c0d6ab61bd78a63170c4d2e671d2f/src/apatite/core_ext/array.cr#L24","def":{"name":"to_vec","args":[],"double_splat":null,"splat_index":null,"yields":null,"block_arg":null,"return_type":"","visibility":"Public","body":"Apatite::Vector.create(self)"}}],"macros":[],"types":[]}]}}) \ No newline at end of file diff --git a/src/apatite.cr b/src/apatite.cr index 92add53..071fd9e 100644 --- a/src/apatite.cr +++ b/src/apatite.cr @@ -11,20 +11,23 @@ module Apatite extend self include Apatite::LinearAlgebra - class_property precision = 1e-6 - class_property approx_precision = 1e-5 - ## ## ## ## ## ## ## ## ## ## ## ## ## # # Vector Creation ## ## ## ## ## ## ## ## ## ## ## ## ## # Cartesian unit vector I + # + # `Vector{1.0, 0.0, 0.0}` I = Vector::I # Cartesian unit vector J + # + # `Vector{0.0, 1.0, 0.0}` J = Vector::J # Cartesian unit vector K + # + # `Vector{0.0, 0.0, 1.0}` K = Vector::K # Returns a new empty `Vector` @@ -34,12 +37,12 @@ module Apatite # Returns a new vector filled with `n` ones. def ones(n) - Vector.new(n, 1) + Vector.ones(n) end # Returns a new vector filled with `n` zeros. def zeros(n) - Vector.new(n, 0) + Vector.zeros(n) end # Returns a new vector of size `n` filled with `i` @@ -59,13 +62,52 @@ module Apatite Vector.create(input) end - # Returns a standard basis-n vector of the given `size` and `index`. + # Creates a standard basis-n vector of the given `size` and `index`. def basis(size, index) Vector.basis(size, index) end + # Creates a new vector of size `n` filled with random numbers. A `range` + # can optionally be passed in if you want to limit the random numbers + # to a given range. + def random(n, range = nil) + Vector.random(n, range) + end + ## ## ## ## ## ## ## ## ## ## ## ## # # Matrix Creation ## ## ## ## ## ## ## ## ## ## ## ## + # Creates a new empty matrix with the given `row_count` and + # `column_count`. At lease one of `row_count` or + # `column_count` must be zero. + def empty_matrix(row_count = 0, column_count = 0) + Matrix.new(rows, column_count) + end + + # Creates a matrix where the diagonal elements are composed of `values`. + def diagonal(values) + Matrix.diagonal(values) + end + + # Creates a new diagonal matrix of size `n` with ones in the diagonal + # and zeros elsewhere. + def eye(n) + Matrix.eye(n) + end + + # Creates a `n x n` identity matrix. + def identity(n) + Matrix.identity(n) + end + + # Creates a single-row matrix where the values of that row are as given in `row`. + def row_vector(row) + Matrix.row_vector(row) + end + + # Creates an `n` by `n` diagonal matrix where each diagonal element is value. + def scalar(n, value) + Matrix.scalar(n, value) + end end diff --git a/src/apatite/linear_algebra.cr b/src/apatite/linear_algebra.cr index 62f3e11..4c1d5bf 100644 --- a/src/apatite/linear_algebra.cr +++ b/src/apatite/linear_algebra.cr @@ -8,9 +8,9 @@ module Apatite # Calculates the sigmoid curve for a numeric input. # - # f(x) = 1/(1 + e^-x) + # `f(x) = 1/(1 + e^-x)` # - # See also: [Sigmoid function [WikiWand]](https://www.wikiwand.com/en/Sigmoid_function) + # See also: [Sigmoid function (WikiWand)](https://www.wikiwand.com/en/Sigmoid_function) def sigmoid(input : Number) num = input.to_f64 1 / (1 + Math.exp(-num)) @@ -18,7 +18,7 @@ module Apatite # Calculates the derivative sigmoid curve for a numeric input. # - # f'(x) = f(x)(1 - f(x)), + # `f'(x) = f(x)(1 - f(x)),` def sigmoid_d(input : Number) num = input.to_f64 num * (1 - num) diff --git a/src/apatite/linear_algebra/matrix.cr b/src/apatite/linear_algebra/matrix.cr index 4aeee9b..b439c58 100644 --- a/src/apatite/linear_algebra/matrix.cr +++ b/src/apatite/linear_algebra/matrix.cr @@ -12,10 +12,10 @@ module Apatite::LinearAlgebra @buffer : Pointer(Vector) - def initialize(rows, column_count : Int32 = rows[0].size) + def initialize(rows, column_count : Int32? = nil) @buffer = rows.map { |r| Vector.create(r) }.to_a.to_unsafe @row_count = rows.size - @column_count = column_count + @column_count = column_count || rows[0].size end # Creates a matrix where each argument is a row. @@ -93,6 +93,12 @@ module Apatite::LinearAlgebra Matrix.new(([] of Vector) * row_count, column_count) end + # Creates a new diagonal matrix of size `n` with ones in the diagonal + # and zeros elsewhere. + def self.eye(n) + Matrix.diagonal([1] * n) + end + # TODO def self.hstack(x, *matrices) end diff --git a/src/apatite/linear_algebra/vector.cr b/src/apatite/linear_algebra/vector.cr index c43aa8b..e22f2ea 100644 --- a/src/apatite/linear_algebra/vector.cr +++ b/src/apatite/linear_algebra/vector.cr @@ -123,13 +123,13 @@ module Apatite::LinearAlgebra vec end - # Generates a random vector of size `n` with elements - # in `range`. - def self.random(n, range = Float64::MIN..Float64::MAX) - random = Random.new + # Creates a new `Vector` of size `n` filled with random numbers. A `range` + # can optionally be passed in if you want to limit the random numbers + # to a given range. + def self.random(n, range = nil) vec = Vector.new(n) n.times do - vec.push random.rand(range) + vec.push rand(range || -1e+1..1e+1) end vec end