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ops.lisp
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ops.lisp
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#|
This file is a part of 3d-vectors
(c) 2015 Shirakumo http://tymoon.eu ([email protected])
Author: Nicolas Hafner <[email protected]>
|#
(in-package #:org.shirakumo.flare.vector)
(defmacro with-vec2 ((x y) val &body body)
(let ((valvar (gensym "VAL")))
`(let ((,valvar ,val) (,x #.(ensure-float 0)) (,y #.(ensure-float 0)))
(declare (type ,*float-type* ,x ,y))
(etypecase ,valvar
(real (let ((,valvar (ensure-float ,valvar)))
(declare (type ,*float-type* ,valvar))
(setf ,x ,valvar ,y ,valvar)))
(vec2 (setf ,x (vx2 ,valvar) ,y (vy2 ,valvar))))
,@body)))
(defmacro with-vec3 ((x y z) val &body body)
(let ((valvar (gensym "VAL")))
`(let ((,valvar ,val) (,x #.(ensure-float 0)) (,y #.(ensure-float 0)) (,z #.(ensure-float 0)))
(declare (type ,*float-type* ,x ,y ,z))
(etypecase ,valvar
(real (let ((,valvar (ensure-float ,valvar)))
(declare (type ,*float-type* ,valvar))
(setf ,x ,valvar ,y ,valvar ,z ,valvar)))
(vec3 (setf ,x (vx3 ,valvar) ,y (vy3 ,valvar) ,z (vz3 ,valvar))))
,@body)))
(defmacro with-vec4 ((x y z w) val &body body)
(let ((valvar (gensym "VAL")))
`(let ((,valvar ,val) (,x #.(ensure-float 0)) (,y #.(ensure-float 0)) (,z #.(ensure-float 0)) (,w #.(ensure-float 0)))
(declare (type ,*float-type* ,x ,y ,z ,w))
(etypecase ,valvar
(real (let ((,valvar (ensure-float ,valvar)))
(declare (type ,*float-type* ,valvar))
(setf ,x ,valvar ,y ,valvar ,z ,valvar ,w ,valvar)))
(vec4 (setf ,x (vx4 ,valvar) ,y (vy4 ,valvar) ,z (vz4 ,valvar) ,w (vw4 ,valvar))))
,@body)))
(defmacro with-vec ((x y &optional (z (gensym "Z")) (w (gensym "W"))) val &body body)
(let ((valvar (gensym "VAL")))
`(let ((,valvar ,val) (,x #.(ensure-float 0)) (,y #.(ensure-float 0)) (,z #.(ensure-float 0)) (,w #.(ensure-float 0)))
(declare (type ,*float-type* ,x ,y ,z ,w))
(etypecase ,valvar
(real (let ((,valvar (ensure-float ,valvar)))
(declare (type ,*float-type* ,valvar))
(setf ,x ,valvar ,y ,valvar ,z ,valvar ,w ,valvar)))
(vec2 (setf ,x (vx2 ,valvar) ,y (vy2 ,valvar)))
(vec3 (setf ,x (vx3 ,valvar) ,y (vy3 ,valvar) ,z (vz3 ,valvar)))
(vec4 (setf ,x (vx4 ,valvar) ,y (vy4 ,valvar) ,z (vz4 ,valvar) ,w (vw4 ,valvar))))
,@body)))
(defmacro %2vec-op (a b combination v2red &optional (v3red v2red) (v4red v2red))
(let ((v2red (if (listp v2red) v2red (list v2red)))
(v3red (if (listp v3red) v3red (list v3red)))
(v4red (if (listp v4red) v4red (list v4red)))
(ag (gensym "A")) (bg (gensym "B")))
`(etypecase ,a
(real (let ((,ag (ensure-float ,a)))
(etypecase ,b
(vec4 (,@v4red (,combination ,ag (vx4 ,b)) (,combination ,ag (vy4 ,b)) (,combination ,ag (vz4 ,b)) (,combination ,ag (vw4 ,b))))
(vec3 (,@v3red (,combination ,ag (vx3 ,b)) (,combination ,ag (vy3 ,b)) (,combination ,ag (vz3 ,b))))
(vec2 (,@v2red (,combination ,ag (vx2 ,b)) (,combination ,ag (vy2 ,b)))))))
(vec4 (etypecase ,b
(real (let ((,bg (ensure-float ,b))) (,@v4red (,combination (vx4 ,a) ,bg) (,combination (vy4 ,a) ,bg) (,combination (vz4 ,a) ,bg) (,combination (vw4 ,a) ,bg))))
(vec4 (,@v4red (,combination (vx4 ,a) (vx4 ,b)) (,combination (vy4 ,a) (vy4 ,b)) (,combination (vz4 ,a) (vz4 ,b)) (,combination (vw4 ,a) (vw4 ,b))))))
(vec3 (etypecase ,b
(real (let ((,bg (ensure-float ,b))) (,@v3red (,combination (vx3 ,a) ,bg) (,combination (vy3 ,a) ,bg) (,combination (vz3 ,a) ,bg))))
(vec3 (,@v3red (,combination (vx3 ,a) (vx3 ,b)) (,combination (vy3 ,a) (vy3 ,b)) (,combination (vz3 ,a) (vz3 ,b))))))
(vec2 (etypecase ,b
(real (let ((,bg (ensure-float ,b))) (,@v2red (,combination (vx2 ,a) ,bg) (,combination (vy2 ,a) ,bg))))
(vec2 (,@v2red (,combination (vx2 ,a) (vx2 ,b)) (,combination (vy2 ,a) (vy2 ,b)))))))))
(defmacro define-veccomp (name op &optional (bundle 'and))
(let ((2vec-name (intern* '2vec "-" name)))
`(progn
(declaim (ftype (function ((or vec real) (or vec real)) boolean) ,2vec-name))
(declaim (ftype (function ((or vec real) &rest (or vec real)) boolean) ,name))
#-clasp (declaim (inline ,name ,2vec-name))
(define-ofun ,2vec-name (a b)
(%2vec-op a b ,op ,bundle ,bundle ,bundle))
(define-ofun ,name (val &rest vals)
(loop for prev = val then next
for next in vals
always (,2vec-name prev next)))
(define-compiler-macro ,name (val &rest vals)
(case (length vals)
(0 T)
(1 `(,',2vec-name ,val ,(first vals)))
(T `(and ,@(loop for prev = val then next
for next in vals
collect `(,',2vec-name ,prev ,next)))))))))
(define-veccomp v= =)
(define-veccomp v/= /= or)
(define-veccomp v< <)
(define-veccomp v<= <=)
(define-veccomp v> >)
(define-veccomp v>= >=)
(defmacro define-vecreduce (name op)
(let ((2vec-name (intern* '2vec "-" name)))
`(progn
(declaim (ftype (function ((or vec real) (or vec real)) vec) ,2vec-name))
(declaim (ftype (function ((or vec real) &rest (or vec real)) vec) ,name))
#-clasp (declaim (inline ,name ,2vec-name))
(define-ofun ,2vec-name (a b)
(%2vec-op a b ,op vec2 vec3 vec4))
(define-ofun ,name (val &rest vals)
(loop for res = val then (,2vec-name res next)
for next in vals
finally (return res)))
(define-compiler-macro ,name (val &rest vals)
(case (length vals)
(0 `(vcopy ,val))
(1 `(,',2vec-name ,val ,(first vals)))
(T `(,',2vec-name ,val (,',name ,@(rest vals)))))))))
(define-vecreduce vmin min)
(define-vecreduce vmax max)
(defmacro define-vector-constant (name x y &optional z w)
(let ((z (when z (list z))) (w (when w (list w))))
`(defconstant ,name (cond ((not (boundp ',name))
(vec ,x ,y ,@z ,@w))
((v= (symbol-value ',name) (vec ,x ,y ,@z ,@w))
(symbol-value ',name))
(T (error "Attempting to redefine constant vector ~a with value ~a to ~a."
',name (symbol-value ',name) (vec ,x ,y ,@z ,@w)))))))
(define-vector-constant +vx2+ 1 0)
(define-vector-constant +vy2+ 0 1)
(define-vector-constant +vx3+ 1 0 0)
(define-vector-constant +vy3+ 0 1 0)
(define-vector-constant +vz3+ 0 0 1)
(define-vector-constant +vx4+ 1 0 0 0)
(define-vector-constant +vy4+ 0 1 0 0)
(define-vector-constant +vz4+ 0 0 1 0)
(define-vector-constant +vw4+ 0 0 0 1)
;; backwards-compat
(define-vector-constant +vx+ 1 0 0)
(define-vector-constant +vy+ 0 1 0)
(define-vector-constant +vz+ 0 0 1)
#-clasp
(declaim (inline vdistance))
(declaim (ftype (function (vec vec) #.*float-type*) vdistance))
(define-ofun vdistance (a b)
(etypecase a
(vec2 (etypecase b
(vec2 (sqrt (+ (expt (- (vx2 a) (vx2 b)) 2)
(expt (- (vy2 a) (vy2 b)) 2))))))
(vec3 (etypecase b
(vec3 (sqrt (+ (expt (- (vx3 a) (vx3 b)) 2)
(expt (- (vy3 a) (vy3 b)) 2)
(expt (- (vz3 a) (vz3 b)) 2))))))
(vec4 (etypecase b
(vec4 (sqrt (+ (expt (- (vx4 a) (vx4 b)) 2)
(expt (- (vy4 a) (vy4 b)) 2)
(expt (- (vz4 a) (vz4 b)) 2)
(expt (- (vw4 a) (vw4 b)) 2))))))))
#-clasp
(declaim (inline vlength))
(declaim (ftype (function (vec) #.*float-type*) vlength))
(define-ofun vlength (v)
(etypecase v
(vec2 (sqrt (+ (expt (vx2 v) 2)
(expt (vy2 v) 2))))
(vec3 (sqrt (+ (expt (vx3 v) 2)
(expt (vy3 v) 2)
(expt (vz3 v) 2))))
(vec4 (sqrt (+ (expt (vx4 v) 2)
(expt (vy4 v) 2)
(expt (vz4 v) 2)
(expt (vw4 v) 2))))))
#-clasp
(declaim (inline v2norm))
(declaim (ftype (function (vec) #.*float-type*) v2norm))
(define-ofun v2norm (v)
(etypecase v
(vec2 (sqrt (+ (expt (vx2 v) 2)
(expt (vy2 v) 2))))
(vec3 (sqrt (+ (expt (vx3 v) 2)
(expt (vy3 v) 2)
(expt (vz3 v) 2))))
(vec4 (sqrt (+ (expt (vx4 v) 2)
(expt (vy4 v) 2)
(expt (vz4 v) 2)
(expt (vw4 v) 2))))))
#-clasp
(declaim (inline v1norm))
(declaim (ftype (function (vec) #.*float-type*) v1norm))
(define-ofun v1norm (v)
(etypecase v
(vec2 (+ (abs (vx2 v))
(abs (vy2 v))))
(vec3 (+ (abs (vx3 v))
(abs (vy3 v))
(abs (vz3 v))))
(vec4 (+ (abs (vx4 v))
(abs (vy4 v))
(abs (vz4 v))
(abs (vw4 v))))))
#-clasp
(declaim (inline vinorm))
(declaim (ftype (function (vec) #.*float-type*) vinorm))
(define-ofun vinorm (v)
(etypecase v
(vec2 (max (abs (vx2 v))
(abs (vy2 v))))
(vec3 (max (abs (vx3 v))
(abs (vy3 v))
(abs (vz3 v))))
(vec4 (max (abs (vx4 v))
(abs (vy4 v))
(abs (vz4 v))
(abs (vw4 v))))))
#-clasp
(declaim (inline vpnorm))
(declaim (ftype (function (vec (real 1)) #.*float-type*) vpnorm))
(define-ofun vpnorm (v p)
(let ((p (ensure-float p)))
(etypecase v
(vec2 (expt (the #.(list *float-type* (ensure-float 0.0))
(+ (expt (abs (vx2 v)) p)
(expt (abs (vy2 v)) p)))
(/ p)))
(vec3 (expt (the #.(list *float-type* (ensure-float 0.0))
(+ (expt (abs (vx3 v)) p)
(expt (abs (vy3 v)) p)
(expt (abs (vz3 v)) p)))
(/ p)))
(vec4 (expt (the #.(list *float-type* (ensure-float 0.0))
(+ (expt (abs (vx4 v)) p)
(expt (abs (vy4 v)) p)
(expt (abs (vz4 v)) p)
(expt (abs (vw4 v)) p)))
(/ p))))))
(defmacro %vsetf (&environment env v x y &optional z w)
`(progn ,(cond (w `(psetf (%vx4 ,v) ,(ensure-float-param x env)
(%vy4 ,v) ,(ensure-float-param y env)
(%vz4 ,v) ,(ensure-float-param z env)
(%vw4 ,v) ,(ensure-float-param w env)))
(z `(psetf (%vx3 ,v) ,(ensure-float-param x env)
(%vy3 ,v) ,(ensure-float-param y env)
(%vz3 ,v) ,(ensure-float-param z env)))
(T `(psetf (%vx2 ,v) ,(ensure-float-param x env)
(%vy2 ,v) ,(ensure-float-param y env))))
,v))
(defmacro vsetf (vec x y &optional z w)
(let ((v (gensym "VEC")))
`(let ((,v ,vec))
(etypecase ,v
(vec2 (%vsetf ,v ,x ,y))
(vec3 (%vsetf ,v ,x ,y ,(or z `(vz3 ,vec))))
(vec4 (%vsetf ,v ,x ,y ,(or z `(vz4 ,vec)) ,(or w `(vw4 ,vec)))))
,v)))
(defmacro vapply (&environment env vec op &optional x y z w)
(let ((v (gensym "VEC")))
`(let ((,v ,vec))
(etypecase ,v
(vec2 (vec2 (,op (vx2 ,v) ,@(when x (list (ensure-float-param x env))))
(,op (vy2 ,v) ,@(when y (list (ensure-float-param y env))))))
(vec3 (vec3 (,op (vx3 ,v) ,@(when x (list (ensure-float-param x env))))
(,op (vy3 ,v) ,@(when y (list (ensure-float-param y env))))
(,op (vz3 ,v) ,@(when z (list (ensure-float-param z env))))))
(vec4 (vec4 (,op (vx4 ,v) ,@(when x (list (ensure-float-param x env))))
(,op (vy4 ,v) ,@(when y (list (ensure-float-param y env))))
(,op (vz4 ,v) ,@(when z (list (ensure-float-param z env))))
(,op (vw4 ,v) ,@(when w (list (ensure-float-param w env))))))))))
(defmacro vapplyf (&environment env vec op &optional x y z w)
(let ((v (gensym "VEC")))
`(let ((,v ,vec))
(vsetf ,v (,op (vx ,v) ,@(when x (list (ensure-float-param x env))))
(,op (vy ,v) ,@(when y (list (ensure-float-param y env))))
(,op (vz ,v) ,@(when z (list (ensure-float-param z env))))
(,op (vw ,v) ,@(when w (list (ensure-float-param w env)))))
,v)))
(defmacro define-vecop (name nname op)
(let ((2vec-name (intern* '2vec "-" name)))
`(progn
#-clasp
(declaim (inline ,name ,2vec-name))
(declaim (ftype (function ((or vec real) &rest (or vec real)) vec) ,name))
(declaim (ftype (function ((or vec real) (or vec real)) vec) ,2vec-name))
(define-ofun ,2vec-name (a b)
(%2vec-op a b ,op vec2 vec3 vec4))
(define-ofun ,name (val &rest vals)
(cond ((cdr vals)
(apply #',nname (,2vec-name val (first vals)) (rest vals)))
(vals (,2vec-name val (first vals)))
(T (vapply val ,op))))
(define-compiler-macro ,name (val &rest vals)
(case (length vals)
(0 `(vapply ,val ,',op))
(1 `(,',2vec-name ,val ,(first vals)))
(T `(,',nname (,',2vec-name ,val ,(first vals)) ,@(rest vals))))))))
(defmacro define-nvecop (name op)
(let ((2vec-name (intern* '2vec "-" name)))
`(progn
#-clasp
(declaim (inline ,name ,2vec-name))
(declaim (ftype (function (vec &rest (or vec real)) vec) ,name))
(declaim (ftype (function (vec (or vec real)) vec) ,2vec-name))
(define-ofun ,2vec-name (a b)
(%2vec-op a b ,op (%vsetf a)))
(define-ofun ,name (val &rest vals)
(if vals
(loop for v in vals
do (,2vec-name val v)
finally (return val))
(vapplyf val ,op)))
(define-compiler-macro ,name (val &rest vals)
(case (length vals)
(0 `(vapplyf ,val ,',op))
(1 `(,',2vec-name ,val ,(first vals)))
(T `(,',name (,',2vec-name ,val ,(first vals)) ,@(rest vals))))))))
(define-vecop v+ nv+ +)
(define-vecop v- nv- -)
(define-vecop v* nv* *)
(define-vecop v/ nv/ /)
(define-nvecop nv+ +)
(define-nvecop nv- -)
(define-nvecop nv* *)
(define-nvecop nv/ /)
#-clasp
(declaim (inline v1+))
(declaim (ftype (function (vec) vec) v1+))
(define-ofun v1+ (v)
(v+ v 1))
#-clasp
(declaim (inline v1-))
(declaim (ftype (function (vec) vec) v1-))
(define-ofun v1- (v)
(v- v 1))
(defmacro vincf (&environment env v &optional (delta 1))
`(nv+ ,v ,(ensure-float-param delta env)))
(defmacro vdecf (&environment env v &optional (delta 1))
`(nv- ,v ,(ensure-float-param delta env)))
#-clasp
(declaim (inline v.))
(declaim (ftype (function (vec vec) #.*float-type*) v.))
(define-ofun v. (a b)
(etypecase a
(vec2 (+ (* (vx2 a) (vx2 b))
(* (vy2 a) (vy2 b))))
(vec3 (+ (* (vx3 a) (vx3 b))
(* (vy3 a) (vy3 b))
(* (vz3 a) (vz3 b))))
(vec4 (+ (* (vx4 a) (vx4 b))
(* (vy4 a) (vy4 b))
(* (vz4 a) (vz4 b))
(* (vw4 a) (vw4 b))))))
#-clasp
(declaim (inline vc))
(declaim (ftype (function (vec3 vec3) vec3) vc))
(define-ofun vc (a b)
(vec3 (- (* (vy3 a) (vz3 b))
(* (vz3 a) (vy3 b)))
(- (* (vz3 a) (vx3 b))
(* (vx3 a) (vz3 b)))
(- (* (vx3 a) (vy3 b))
(* (vy3 a) (vx3 b)))))
(declaim (ftype (function (vec vec) #.*float-type*) vangle))
(define-ofun vangle (a b)
(acos
(/ (v. a b)
(v2norm a)
(v2norm b))))
#-clasp
(declaim (inline vabs))
(declaim (ftype (function (vec) vec) vabs))
(define-ofun vabs (vec)
(vapply vec abs))
#-clasp
(declaim (inline nvabs))
(declaim (ftype (function (vec) vec) nvabs))
(define-ofun nvabs (vec)
(vapplyf vec abs))
#-clasp
(declaim (inline vmod))
(declaim (ftype (function (vec real) vec) vmod))
(define-ofun vmod (vec divisor)
(vapply vec mod divisor divisor divisor divisor))
#-clasp
(declaim (inline nvmod))
(declaim (ftype (function (vec real) vec) nvmod))
(define-ofun nvmod (vec divisor)
(vapplyf vec mod divisor divisor divisor divisor))
#-clasp
(declaim (inline vunit))
(declaim (ftype (function (vec) vec) vunit))
(define-ofun vunit (a)
(v/ a (vlength a)))
#-clasp
(declaim (inline nvunit))
(declaim (ftype (function (vec) vec) nvunit))
(define-ofun nvunit (vec)
(nv/ vec (vlength vec)))
#-clasp
(declaim (inline vscale))
(declaim (ftype (function (vec real) vec) vscale))
(define-ofun vscale (a length)
(nv* (vunit a) length))
#-clasp
(declaim (inline nvscale))
(declaim (ftype (function (vec real) vec) vscale))
(define-ofun nvscale (vec length)
(nv* (nvunit vec) length))
#-clasp
(declaim (inline vclamp))
(declaim (ftype (function ((or vec real) vec (or vec real)) vec) vclamp))
(define-ofun vclamp (lower vec upper)
(etypecase vec
(vec2 (with-vec2 (lx ly) lower
(with-vec2 (ux uy) upper
(vec2 (min ux (max lx (vx2 vec)))
(min uy (max ly (vy2 vec)))))))
(vec3 (with-vec3 (lx ly lz) lower
(with-vec3 (ux uy uz) upper
(vec3 (min ux (max lx (vx3 vec)))
(min uy (max ly (vy3 vec)))
(min uz (max lz (vz3 vec)))))))
(vec4 (with-vec4 (lx ly lz lw) lower
(with-vec4 (ux uy uz uw) upper
(vec4 (min ux (max lx (vx4 vec)))
(min uy (max ly (vy4 vec)))
(min uz (max lz (vz4 vec)))
(min uw (max lw (vw4 vec)))))))))
#-clasp
(declaim (inline nvclamp))
(declaim (ftype (function ((or vec real) vec (or vec real))) nvclamp))
(define-ofun nvclamp (lower vec upper)
(etypecase vec
(vec2 (with-vec2 (lx ly) lower
(with-vec2 (ux uy) upper
(%vsetf vec (min ux (max lx (vx2 vec)))
(min uy (max ly (vy2 vec)))))))
(vec3 (with-vec3 (lx ly lz) lower
(with-vec3 (ux uy uz) upper
(%vsetf vec (min ux (max lx (vx3 vec)))
(min uy (max ly (vy3 vec)))
(min uz (max lz (vz3 vec)))))))
(vec4 (with-vec4 (lx ly lz lw) lower
(with-vec4 (ux uy uz uw) upper
(%vsetf vec (min ux (max lx (vx4 vec)))
(min uy (max ly (vy4 vec)))
(min uz (max lz (vz4 vec)))
(min uw (max lw (vw4 vec)))))))))
#-clasp
(declaim (inline lerp))
(defun lerp (from to n)
(+ from (* n (- to from))))
#-clasp
(declaim (inline vlerp))
(declaim (ftype (function (vec vec (or vec real)) vec) vlerp))
(define-ofun vlerp (from to n)
(etypecase from
(vec2 (with-vec2 (tx ty) to
(with-vec2 (nx ny) n
(vec2 (lerp (vx2 from) tx nx)
(lerp (vy2 from) ty ny)))))
(vec3 (with-vec3 (tx ty tz) to
(with-vec3 (nx ny nz) n
(vec3 (lerp (vx3 from) tx nx)
(lerp (vy3 from) ty ny)
(lerp (vz3 from) tz nz)))))
(vec4 (with-vec4 (tx ty tz tw) to
(with-vec4 (nx ny nz nw) n
(vec4 (lerp (vx4 from) tx nx)
(lerp (vy4 from) ty ny)
(lerp (vz4 from) tz nz)
(lerp (vw4 from) tw nw)))))))
#-clasp
(declaim (inline vlimit))
(declaim (ftype (function (vec (or vec real)) vec) vlimit))
(define-ofun vlimit (vec limit)
(vclamp (- limit) vec limit))
#-clasp
(declaim (inline nvlimit))
(declaim (ftype (function (vec (or vec real)) vec) nvlimit))
(define-ofun nvlimit (vec limit)
(nvclamp (- limit) vec limit))
(defmacro %vecrot-internal (&body body)
;; https://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula
;; vr = v*cos(phi) + (kxv)*sin(phi) + k*(k*v)*(1-cos(phi)
`(let* ((k axis)
(cos (cos phi))
(sin (sin phi))
(c (vc k v))
(d (v. k v)))
(macrolet ((arith (field)
`(+ (* (,field v) cos)
(* (,field c) sin)
(* (,field k) d (- 1 cos)))))
,@body)))
#-clasp
(declaim (inline vrot))
(declaim (ftype (function (vec3 vec3 real) vec3) vrot))
(define-ofun vrot (v axis phi)
(let ((phi (ensure-float phi)))
(%vecrot-internal
(vec3 (arith vx3) (arith vy3) (arith vz3)))))
(declaim (ftype (function (vec3 vec3 real) vec3) nvrot))
(define-ofun nvrot (v axis phi)
(let ((phi (ensure-float phi)))
(%vecrot-internal
(setf (vx3 v) (arith vx3)
(vy3 v) (arith vy3)
(vz3 v) (arith vz3))
v)))
(declaim (ftype (function (vec3 vec3) vec3) vrotv))
(define-ofun vrotv (a b)
(nvrot (nvrot (vrot a
+vx+ (vx3 b))
+vy+ (vy3 b))
+vz+ (vz3 b)))
(declaim (ftype (function (vec3 vec3) vec3) nvrotv))
(define-ofun nvrotv (a b)
(nvrot (nvrot (nvrot a
+vx+ (vx3 b))
+vy+ (vy3 b))
+vz+ (vz3 b)))
(declaim (ftype (function (vec symbol &optional symbol symbol symbol) vec) vorder))
(define-ofun vorder (v x &optional y z w)
(flet ((component (n)
(ecase n
((vx x :x) (vx v))
((vy y :y) (vy v))
((vz z :z) (vz v))
((vw w :w) (vw v))
((NIL) 0.0))))
(etypecase v
(vec2 (vec2 (component x) (component y)))
(vec3 (vec3 (component x) (component y) (component z)))
(vec4 (vec4 (component x) (component y) (component z) (component w))))))
(define-compiler-macro vorder (&environment env vec x &optional y z w)
(let ((v (gensym "VEC")))
(flet ((component (n)
(if (constantp n env)
(ecase n
((vx x :x) `(vx ,v))
((vy y :y) `(vy ,v))
((vz z :z) `(vz ,v))
((vw w :w) `(vw ,v))
((NIL) 0.0))
`(ecase ,n
((vx x :x) (vx v))
((vy y :y) (vy v))
((vz z :z) (vz v))
((vw w :w) (vw v))
((NIL) 0.0)))))
`(let ((,v ,vec))
(etypecase ,v
(vec2 (vec ,(component x) ,(component y)))
(vec3 (vec ,(component x) ,(component y) ,(component z)))
(vec4 (vec ,(component x) ,(component y) ,(component z) ,(component w))))))))
(declaim (ftype (function (vec symbol &optional symbol symbol symbol) vec) vorder))
(define-ofun nvorder (v x &optional y z w)
(flet ((component (n)
(ecase n
((vx x :x) (vx v))
((vy y :y) (vy v))
((vz z :z) (vz v))
((vw w :w) (vw v))
((NIL) 0.0))))
(vsetf v (component x) (component y) (component z) (component w))))
(define-compiler-macro nvorder (&environment env vec x &optional y z w)
(let ((v (gensym "VEC")))
(flet ((component (n)
(if (constantp n env)
(ecase n
((vx x :x) `(vx ,v))
((vy y :y) `(vy ,v))
((vz z :z) `(vz ,v))
((vw w :w) `(vw ,v))
((NIL) 0.0))
`(ecase ,n
((vx x :x) (vx v))
((vy y :y) (vy v))
((vz z :z) (vz v))
((vw w :w) (vw v))
((NIL) 0.0)))))
`(let ((,v ,vec))
(vsetf ,v ,(component x) ,(component y) ,(component z) ,(component w))))))
(defmacro define-swizzler (&rest comps)
(flet ((%vec-accessor (dim type)
(if (eql dim '_)
(ensure-float 0)
(list (intern* 'v dim (subseq (string type) 3)) 'vec))))
(let ((name (apply #'intern* 'v comps))
(other-type (case (length comps) (2 'vec2) (3 'vec3) (4 'vec4))))
`(progn
(export ',name) ;; Haha no way, I'm not writing all these into the package listing.
#-clasp
(declaim (inline ,name))
(declaim (ftype (function (vec) vec) ,name))
(define-ofun ,name (vec)
,(format NIL "Swizzles the vector into a ~aD one, filling its fields with the ~{~#[~;~a~;~a and ~a~:;~@{~a~#[~;, and ~:;, ~]~}~]~} components of the given vector respectively.
~:*
When used as a writer sets the fields of the vector, replacing the ~{~#[~;~a~;~a and ~a~:;~@{~a~#[~;, and ~:;, ~]~}~]~} components with the XYZW of the value respectively in that order.
Note that, unlike usual SETF functions that return the value you set to, this returns the modified vector."
(length comps) comps)
(etypecase vec
,@(loop for d in (or (append (when (subsetp comps '(_ x y)) '(vec2))
(when (subsetp comps '(_ x y z)) '(vec3))
(when (subsetp comps '(_ x y z w)) '(vec4)))
(error "Unknown comps: ~a" comps))
collect `(,d ,(ecase (length comps)
(2 `(vec2 ,@(loop for comp in comps collect (%vec-accessor comp d))))
(3 `(vec3 ,@(loop for comp in comps collect (%vec-accessor comp d))))
(4 `(vec4 ,@(loop for comp in comps collect (%vec-accessor comp d)))))))))
#-clasp
(declaim (inline (setf ,name)))
(declaim (ftype (function ((or ,other-type number) vec) vec) (setf ,name)))
(define-ofun (setf ,name) (val vec)
,(if (loop for c in comps always (eq c '_))
`(declare (ignore val))
`(etypecase vec
,@(loop for d in (or (append (when (subsetp comps '(_ x y)) '(vec2))
(when (subsetp comps '(_ x y z)) '(vec3))
(when (subsetp comps '(_ x y z w)) '(vec4)))
(error "Unknown comps: ~a" comps))
collect `(,d (etypecase val
(number
(let ((val (ensure-float val)))
,@(loop for comp in comps for i in '(x y z w)
unless (eql comp '_)
collect `(setf ,(%vec-accessor comp d) val))))
(,other-type
,@(loop for comp in comps for i in '(x y z w)
unless (eql comp '_)
collect `(setf ,(%vec-accessor comp d) (,(first (%vec-accessor i other-type)) val)))))))))
vec)))))
(defmacro define-all-swizzlers (size)
(labels ((permute (&rest lists)
(cond ((cdr lists)
(let ((sub (apply #'permute (rest lists))))
(loop for item in (first lists)
append (loop for s in sub collect (list* item s)))))
(lists
(mapcar #'list (first lists)))
(T
NIL))))
`(progn ,@(loop for comps in (apply #'permute (loop repeat size collect '(_ x y z w)))
collect `(define-swizzler ,@comps)))))
(define-all-swizzlers 2)
(define-all-swizzlers 3)
(define-all-swizzlers 4)