fastmath.protocols
Set of protocols for fastmath.
Includes:
- random generator protocol
- distribution protocols
- vector protocol
Categories
Other vars: ->seq abs add approx as-vec axis-rotate backend base-from brandom cdf cell->anchor continuous? coords->cell coords->mid corners covariance cross cv data-native dimensions distribution-id distribution-parameters dot drandom econstrain einterpolate emn emult emx fmap forward-1d forward-2d frandom from-polar grandom grid-type heading icdf interpolate irandom is-near-zero? is-zero? lower-bound lpdf lrandom mag magsq maxdim mean means mindim mn model-native mult mx pdf permute perpendicular posterior-samples predict predict-all prior-samples probability reciprocal reverse-1d reverse-2d rotate sample set-seed! source-object sub sum to-polar to-vec train transform upper-bound variance
DistributionIdProto
protocol
Get name and parameter names from distribution
members
distribution-id
(distribution-id d)Distribution id as keyword
distribution-parameters
(distribution-parameters d)List of distribution parameter names
DistributionProto
protocol
Get information from distributions.
members
cdf
(cdf d v)(cdf d v1 v2)Cumulative probability.
continuous?
(continuous? d)Does distribution support continuous range?
dimensions
(dimensions d)Returns dimensions
icdf
(icdf d p)Inverse cumulative probability
lpdf
(lpdf d v)Log density
(pdf d v)Density
probability
(probability d v)Probability (PMF)
sample
(sample d)Returns random sample.
source-object
(source-object d)Returns Java object from backend library
GPProto
protocol
members
posterior-samples
(posterior-samples gp vs stddev?)Draw samples from posterior for given vs
prior-samples
(prior-samples _ vs)Draw samples from prior for given vs
GridProto
protocol
Common grid conversion functions.
members
cell->anchor
(cell->anchor g cell)Converts cell coordinates to anchor coordinates.
coords->cell
(coords->cell g coords)Converts 2d space coordinates to cell coordinates.
coords->mid
(coords->mid g coords)Converts 2d space into cell midpoint.
corners
(corners g coords)(corners g coords scale)Returns list of cell vertices for given 2d space coordinates.
grid-type
(grid-type g)Returns type of the cell.
MultivariateDistributionProto
protocol
Get information from distributions.
members
covariance
(covariance d)Variance
means
(means d)Mean
PredictorProto
protocol
members
backend
(backend _)Return name of backend library
cv
(cv _)(cv _ params)Cross-validation
data-native
(data-native _)Return data transformed for backend library.
model-native
(model-native _)Return trained model as a backend class.
predict
(predict _ v info?)Predict for given vector. Additional info may be returned on request.
predict-all
(predict-all _ v info?)Predict for given sequence of vectors. Additional info may be returned on request.
train
(train _)(train _ x y)Train another set of data for given model or force training already given data.
RNGProto
protocol
Defines set of random functions for different RNGs or distributions returning primitive values.
members
->seq
(->seq rng)(->seq rng n)Returns lazy sequence of random samples (can be limited to optional n values).
brandom
(brandom rng)(brandom rng p)Boolean random.
Returns true or false with equal probability. You can set p probability for true
drandom
(drandom rng)(drandom rng mx)(drandom rng mn mx)Random double.
As default returns random double from [0,1) range. When mx is passed, range is set to [0, mx). When mn is passed, range is set to [mn, mx).
frandom
(frandom rng)(frandom rng mx)(frandom rng mn mx)Random float.
As default returns random float from [0,1) range. When mx is passed, range is set to [0, mx). When mn is passed, range is set to [mn, mx).
grandom
(grandom rng)(grandom rng std)(grandom rng mean std)Random double from gaussian distribution.
As default returns random double from N(0,1). When std is passed, N(0,std) is used. When mean is passed, distribution is set to N(mean, std).
irandom
(irandom rng)(irandom rng mx)(irandom rng mn mx)Random integer.
As default returns random integer from full integer range. When mx is passed, range is set to [0, mx). When mn is passed, range is set to [mn, mx).
lrandom
(lrandom rng)(lrandom rng mx)(lrandom rng mn mx)Random long.
As default returns random long from full long range. When mx is passed, range is set to [0, mx). When mn is passed, range is set to [mn, mx).
set-seed!
(set-seed! rng v)Sets seed. Returns rng
TransformProto
protocol
Transformer functions.
members
forward-1d
(forward-1d t xs)Forward transform of sequence or array.
forward-2d
(forward-2d t xss)Forward transform of sequence of sequences.
reverse-1d
(reverse-1d t xs)Reverse transform of sequence or array.
reverse-2d
(reverse-2d t xss)Reverse transform of sequence of sequences.
UnivariateDistributionProto
protocol
members
lower-bound
(lower-bound d)Lower value
mean
(mean d)Mean
upper-bound
(upper-bound d)Higher value
variance
(variance d)Variance
VectorProto
protocol
Vector operations
members
abs
(abs v1)Absolute value of vector elements
add
(add v1)(add v1 v2)Sum of two vectors.
approx
(approx v)(approx v d)Round to 2 (or d) decimal places
as-vec
(as-vec v)(as-vec v xs)Create vector from sequence as given type.
axis-rotate
(axis-rotate v1 angle axis)(axis-rotate v1 angle axis pivot)Rotate around axis, 3d only
base-from
(base-from v)List of perpendicular vectors (basis)
cross
(cross v1 v2)Cross product
dot
(dot v1 v2)Dot product of two vectors.
econstrain
(econstrain v val1 val2)Element-wise constrain
einterpolate
(einterpolate v1 v2 v f)Interpolate vectors element-wise, optionally set interpolation fn
emn
(emn v1 v2)Element-wise min from two vectors.
emult
(emult v1 v2)Element-wise vector multiplication (Hadamard product).
emx
(emx v1 v2)Element-wise max from two vectors.
fmap
(fmap v f)Apply function to all vector values (like map but returns the same type).
from-polar
(from-polar v1)From polar coordinates (2d, 3d only)
heading
(heading v1)Angle between vector and unit vector [1,0,...]
interpolate
(interpolate v1 v2 t f)Interpolate vectors, optionally set interpolation fn
is-near-zero?
(is-near-zero? v1)(is-near-zero? v1 tol)Is vector almost zero? (all absolute values of elements are less than tol tolerance or 1.0e-6)
is-zero?
(is-zero? v1)Is vector zero?
mag
(mag v1)length of the vector.
magsq
(magsq v1)Length of the vector squared.
maxdim
(maxdim v)Index of maximum value.
mindim
(mindim v)Index of minimum value.
mn
(mn v1)Minimum value of vector elements
mult
(mult v1 v)Multiply vector by number v.
mx
(mx v1)Maximum value of vector elements
permute
(permute v idxs)Permute vector elements with given indices.
perpendicular
(perpendicular v1)(perpendicular v1 v2)Perpendicular vector (only 2d).
reciprocal
(reciprocal v)Reciprocal of elements.
rotate
(rotate v1 angle)(rotate v1 anglex angley anglez)Rotate vector
sub
(sub v1)(sub v1 v2)Subtraction of two vectors.
sum
(sum v1)Sum of elements
to-polar
(to-polar v1)To polar coordinates (2d, 3d only), first element is length, the rest angle.
to-vec
(to-vec v)Convert to Clojure primitive vector Vec.
transform
(transform v1 o vx vy)(transform v1 o vx vy vz)Transform vector; map point to coordinate system defined by origin, vx and vy (as bases), d and 3d only.