Episode 35: Intro to Fractals
author |
Steve Losh <steve@stevelosh.com> |
date |
Tue, 05 Jul 2016 13:58:12 +0000 |
parents |
15245c6a668a |
children |
94d32b1b2f8f |
(in-package #:coding-math.utils)
(defmacro zap% (place function &rest arguments &environment env)
"Update `place` by applying `function` to its current value and `arguments`.
`arguments` should contain the symbol `%`, which is treated as a placeholder
where the current value of the place will be substituted into the function
call.
For example:
(zap% foo #'- % 10) => (setf foo (- foo 10)
(zap% foo #'- 10 %) => (setf foo (- 10 foo)
"
;; original idea/name from http://malisper.me/2015/09/29/zap/
(assert (find '% arguments)
()
"Placeholder % not included in zap macro form.")
(multiple-value-bind (temps exprs stores store-expr access-expr)
(get-setf-expansion place env)
`(let* (,@(mapcar #'list temps exprs)
(,(car stores)
(funcall ,function
,@(substitute access-expr '% arguments))))
,store-expr)))
(defmacro in-context (&body body)
`(prog1
(push-matrix)
(progn ,@body)
(pop-matrix)))
(defmacro scancode-case (scancode-form &rest pairs)
(with-gensyms (scancode)
`(let ((,scancode ,scancode-form))
(cond
,@(mapcar (lambda (pair)
(destructuring-bind (key-scancode &rest body) pair
`((sdl2:scancode= ,scancode ,key-scancode)
,@body)))
pairs)))))
(defmacro with-vals (bindings value-form &body body)
(with-gensyms (val)
`(let* ((,val ,value-form)
,@(loop :for (s accessor) :in bindings
:collect `(,s (,accessor ,val))))
,@body)))
(defmacro setf-slots (object &rest bindings)
`(with-slots ,(remove-duplicates
(loop :for (slot) :on bindings :by #'cddr
:collect slot))
,object
(setf
,@(loop :for (slot val) :on bindings :by #'cddr
:append (list slot val)))))
(defun juxt (&rest fns)
(lambda (&rest args)
(mapcar (rcurry #'apply args) fns)))
;;;; Handy drawing functions
(defparameter axis-pen (make-pen :stroke (gray 0.7) :weight 2))
(defun draw-axes (width height)
(with-pen axis-pen
(line (- width) 0 width 0)
(line 0 (- height) 0 height)))
(defun graph-function
(fn &key
(fn-start 0.0) (fn-end 1.0)
(fn-min 0.0) (fn-max 1.0)
(graph-start 0.0) (graph-end 1.0)
(graph-min 0.0) (graph-max 1.0))
(let ((steps (sketch::pen-curve-steps (sketch::env-pen sketch::*env*))))
(labels
((norm (min max val)
(/ (- val min)
(- max min)))
(lerp (from to n)
(+ from (* n (- to from))))
(map-range (source-from source-to dest-from dest-to source-val)
(lerp dest-from dest-to
(norm source-from source-to source-val))))
(apply #'polyline
(mapcan (juxt
(lambda (x)
(map-range fn-start fn-end graph-start graph-end x))
(lambda (x)
(map-range fn-min fn-max graph-min graph-max
(funcall fn x))))
(iota (1+ steps)
:start fn-start
:step (/ (- fn-end fn-start) steps)))))))
;;;; Iterate
(defmacro-driver (FOR var PAIRS-OF-LIST list)
(let ((kwd (if generate 'generate 'for)))
(with-gensyms (current l)
`(progn
(with ,l = ,list)
(with ,current = ,l)
(,kwd ,var next
(cond
((null ,current)
(terminate))
((null (cdr ,current))
(prog1
(cons (first ,current) (car ,l))
(setf ,current nil)))
(t
(prog1
(cons (first ,current) (second ,current))
(setf ,current (cdr ,current))))))))))
;; snagged from squirl
(eval-when (:compile-toplevel :load-toplevel :execute)
(defun symbolicate (&rest things)
"Concatenate together the names of some strings and symbols,
producing a symbol in the current package."
(let ((name (make-string (reduce #'+ things
:key (compose #'length #'string)))))
(let ((index 0))
(dolist (thing things (values (intern name)))
(let ((x (string thing)))
(replace name x :start1 index)
(incf index (length x))))))))
(macrolet
((define-ensure-foo (place) ; Lisp macros are nice
`(defun ,(symbolicate "ENSURE-" place) (place &optional (default place))
(if (atom place) default (,place place)))))
(define-ensure-foo car)
(define-ensure-foo cadr))
(defmacro with-place (conc-name (&rest slots) form &body body)
(let* ((sm-prefix (ensure-car conc-name))
(acc-prefix (ensure-cadr conc-name))
(*package* (symbol-package sm-prefix)))
`(with-accessors
,(mapcar (lambda (v)
(list (symbolicate sm-prefix (ensure-car v))
(symbolicate acc-prefix (ensure-cadr v))))
slots)
,form
,@body)))