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Types in r5rS:
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boolean, symbol, char, vector, pair, number, string, port, procedure
for numbers, the tower goes
{ number { complex { real { rational { integer }}}}}
Useful mechanics things (from manual/refman.txt):
----------------------------------------------------------------
I think a lot of these are r5rs
(type x)
returns the type (eg, *vector*)
(type-predicate x)
returns a predicate that returns true for objects of the same type
as x
(arity p)
what it sounds like when p is a procedure
(structure? x)
predicate for structured objects
(sigma f low high)
sums over integers inclusive form low to high
Mechanics package primatives (?):
----------------------------------------------------------------
number, vector, matrix, function
unary operators go like ((U f) x) = (U (f x))
binary operators go like ((B f g) x) = (B (f x) (g x))
operators are functions that are "sticky" and act like multiplication?
the primative types might actually be a symbolic expression which would return
the same type, eg (*number* (sin (+ 4 'b)))
Other mechanics structures (?):
----------------------------------------------------------------
(up 1 2 3)
"up" tuple
(down 4 5 6)
"down" tuple
(matrix-by-rows '(1 2 3) '(4 5 6) '(7 8 9))
M by N matrix
(series 0.5 0.4 0.3 0.2 0.1)
power series with the given coefficients. serieses can be finite or streams
Literal functions
----------------------------------------------------------------
"->" is kind of like quote and takes two structures; this literal function
maps from the first to the second.
Valid descriptors are:
X cross product
Real real (obviously)
UP up tuple
DOWN down tuple
UP* variable length tuple of the same type (eg (UP* '*number* 5) )
DOWN* same for down tuples
OTHER STUFF???
------------------------------
eigenvalues/vectors, roots of polynomials, display helpers (already)
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