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g.clj
517 lines (498 loc) · 22.7 KB
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g.clj
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(ns fastmath.fields.g
(:require [fastmath.core :as m]
[fastmath.random :as r]
[fastmath.vector :as v]
[fastmath.fields.utils :as u])
(:import [fastmath.vector Vec2 Vec3]))
(set! *unchecked-math* :warn-on-boxed)
(m/use-primitive-operators)
(defn- fclp ^double [^double a] (if (neg? a) (- (rem (m/abs a) 1.0)) (rem (m/abs a) 1.0)))
(defn- fscl ^double [^double a] (fclp (* 0.5 (inc a))))
(defn- fosc ^double [^double p ^double a] (fscl (- (m/cos (* p a m/TWO_PI)))))
(defn- flip ^double [^double a ^double b ^double c] (+ a (* c (- b a))))
(defn gdoffs
"GDOffs"
([] {:type :regular
:config (fn [] {:delta-x (r/drand -2.5 2.5)
:delta-y (r/drand -2.5 2.5)
:area-x (u/sdrand 0.1 2.5)
:area-y (u/sdrand 0.1 2.5)
:center-x (r/drand -1.5 1.5)
:center-y (r/drand -1.5 1.5)
:gamma (r/drand -2.5 2.5)
:square (r/brand)})})
([^double amount {:keys [^double delta-x ^double delta-y ^double area-x ^double area-y
^double center-x ^double center-y ^double gamma square]}]
(let [gdodx (* delta-x 0.1)
gdody (* delta-y 0.1)
gdoax (* 2.0 (if (< (m/abs area-x) 0.1) 0.1 (m/abs area-x)))
gdoay (* 2.0 (if (< (m/abs area-y) 0.1) 0.1 (m/abs area-y)))
gdocx center-x
gdocy center-y
gdog gamma
gdos square
gdob (/ (* gdog 2.0) (max gdoax gdoay))]
(fn [^Vec2 v]
(let [osc-x (fosc gdodx 1.0)
osc-y (if gdos osc-x (fosc gdody 1.0))
in-x (+ (.x v) gdocx)
in-y (+ (.y v) gdocy)]
(-> (Vec2. (flip (flip in-x (fosc in-x 4.0) osc-x) (fosc (fclp (* gdob in-x)) 4.0) osc-x)
(flip (flip in-y (fosc in-y 4.0) osc-y) (fosc (fclp (* gdob in-y)) 4.0) osc-y))
(v/mult amount)))))))
(defn gamma
"gamma by zephyrtronium, http://fractal-resources.deviantart.com/art/Gamma-Apophysis-Plugin-154808483"
([] {:type :regular})
([^double amount _]
(fn [^Vec2 v]
(Vec2. (* amount (m/log-gamma (v/mag v)))
(* amount (v/heading v))))))
(defn gaussianblur
"Gaussian"
([] {:type :pattern})
([^double amount _]
(fn [_]
(let [a (r/drand m/TWO_PI)
r (* amount (+ (r/drand) (r/drand) (r/drand) (r/drand) -2.0))]
(Vec2. (* r (m/cos a)) (* r (m/sin a)))))))
(def ^:private zerov3 (Vec3. 0.0 0.0 0.0))
(defn glitchy2
([] {:type :regular
:config (fn [] {:mode (r/brand)
:lr-spin (r/drand -3.0 3.0)
:lr-x (r/drand -1.0 1.0)
:lr-shift-x (r/drand -1.0 1.0)
:lr-y (r/drand -1.0 1.0)
:lr-shift-y (r/drand -1.0 1.0)
:lr-re-a (r/drand -1.0 1.0)
:lr-re-b (r/drand -1.0 1.0)
:lr-re-c (r/drand -1.0 1.0)
:lr-re-d (r/drand -1.0 1.0)
:lr-im-a (r/drand -1.0 1.0)
:lr-im-b (r/drand -1.0 1.0)
:lr-im-c (r/drand -1.0 1.0)
:lr-im-d (r/drand -1.0 1.0)
:ur-spin (r/drand -3.0 3.0)
:ur-x (r/drand -1.0 1.0)
:ur-shift-x (r/drand -1.0 1.0)
:ur-y (r/drand -1.0 1.0)
:ur-shift-y (r/drand -1.0 1.0)
:ur-re-a (r/drand -1.0 1.0)
:ur-re-b (r/drand -1.0 1.0)
:ur-re-c (r/drand -1.0 1.0)
:ur-re-d (r/drand -1.0 1.0)
:ur-im-a (r/drand -1.0 1.0)
:ur-im-b (r/drand -1.0 1.0)
:ur-im-c (r/drand -1.0 1.0)
:ur-im-d (r/drand -1.0 1.0)
:ll-spin (r/drand -3.0 3.0)
:ll-x (r/drand -1.0 1.0)
:ll-shift-x (r/drand -1.0 1.0)
:ll-y (r/drand -1.0 1.0)
:ll-shift-y (r/drand -1.0 1.0)
:ll-re-a (r/drand -1.0 1.0)
:ll-re-b (r/drand -1.0 1.0)
:ll-re-c (r/drand -1.0 1.0)
:ll-re-d (r/drand -1.0 1.0)
:ll-im-a (r/drand -1.0 1.0)
:ll-im-b (r/drand -1.0 1.0)
:ll-im-c (r/drand -1.0 1.0)
:ll-im-d (r/drand -1.0 1.0)
:ul-spin (r/drand -3.0 3.0)
:ul-x (r/drand -1.0 1.0)
:ul-shift-x (r/drand -1.0 1.0)
:ul-y (r/drand -1.0 1.0)
:ul-shift-y (r/drand -1.0 1.0)
:ul-re-a (r/drand -1.0 1.0)
:ul-re-b (r/drand -1.0 1.0)
:ul-re-c (r/drand -1.0 1.0)
:ul-re-d (r/drand -1.0 1.0)
:ul-im-a (r/drand -1.0 1.0)
:ul-im-b (r/drand -1.0 1.0)
:ul-im-c (r/drand -1.0 1.0)
:ul-im-d (r/drand -1.0 1.0)})})
([^double amount {:keys [mode
^double lr-spin ^double lr-x ^double lr-shift-x ^double lr-y ^double lr-shift-y
^double lr-re-a ^double lr-re-b ^double lr-re-c ^double lr-re-d
^double lr-im-a ^double lr-im-b ^double lr-im-c ^double lr-im-d
^double ur-spin ^double ur-x ^double ur-shift-x ^double ur-y ^double ur-shift-y
^double ur-re-a ^double ur-re-b ^double ur-re-c ^double ur-re-d
^double ur-im-a ^double ur-im-b ^double ur-im-c ^double ur-im-d
^double ll-spin ^double ll-x ^double ll-shift-x ^double ll-y ^double ll-shift-y
^double ll-re-a ^double ll-re-b ^double ll-re-c ^double ll-re-d
^double ll-im-a ^double ll-im-b ^double ll-im-c ^double ll-im-d
^double ul-spin ^double ul-x ^double ul-shift-x ^double ul-y ^double ul-shift-y
^double ul-re-a ^double ul-re-b ^double ul-re-c ^double ul-re-d
^double ul-im-a ^double ul-im-b ^double ul-im-c ^double ul-im-d]}]
(let [lr-pz-sin (m/sin (* lr-spin m/M_PI_2))
lr-pz-cos (m/sin (* lr-spin m/M_PI_2))
ur-pz-sin (m/sin (* ur-spin m/M_PI_2))
ur-pz-cos (m/sin (* ur-spin m/M_PI_2))
ll-pz-sin (m/sin (* ll-spin m/M_PI_2))
ll-pz-cos (m/sin (* ll-spin m/M_PI_2))
ul-pz-sin (m/sin (* ul-spin m/M_PI_2))
ul-pz-cos (m/sin (* ul-spin m/M_PI_2))]
(fn [^Vec2 v]
(let [lr (if (and (> (.x v) lr-shift-x) (> (.y v) lr-shift-y))
(let [re-u (+ (- (* lr-re-a (.x v)) (* lr-im-a (.y v))) lr-re-b)
im-u (+ (+ (* lr-re-a (.y v)) (* lr-im-a (.x v))) lr-im-b)
re-v (+ (- (* lr-re-c (.x v)) (* lr-im-c (.y v))) lr-re-d)
im-v (+ (+ (* lr-re-c (.y v)) (* lr-im-c (.x v))) lr-im-d)
d (+ (* re-v re-v) (* im-v im-v))]
(Vec3. (+ (* amount (+ (* lr-pz-sin (.y v)) (* lr-pz-cos (.x v))))
lr-x (* d (+ (* re-u re-v) (* im-u im-v))))
(+ (* amount (+ (* lr-pz-cos (.y v)) (* lr-pz-sin (.x v))))
lr-y (* d (+ (* im-u re-v) (* re-u im-v))))
1.0))
zerov3)
ur (if (and (> (.x v) ur-shift-x) (< (.y v) ur-shift-y))
(let [re-u (+ (- (* ur-re-a (.x v)) (* ur-im-a (.y v))) ur-re-b)
im-u (+ (+ (* ur-re-a (.y v)) (* ur-im-a (.x v))) ur-im-b)
re-v (+ (- (* ur-re-c (.x v)) (* ur-im-c (.y v))) ur-re-d)
im-v (+ (+ (* ur-re-c (.y v)) (* ur-im-c (.x v))) ur-im-d)
d (+ (* re-v re-v) (* im-v im-v))]
(Vec3. (+ (* amount (+ (* ur-pz-sin (.y v)) (* ur-pz-cos (.x v))))
ur-x (* d (+ (* re-u re-v) (* im-u im-v))))
(+ (* amount (+ (* ur-pz-cos (.y v)) (* ur-pz-sin (.x v))))
ur-y (* d (+ (* im-u re-v) (* re-u im-v))))
1.0))
zerov3)
ll (if (and (< (.x v) ll-shift-x) (> (.y v) ll-shift-y))
(let [re-u (+ (- (* ll-re-a (.x v)) (* ll-im-a (.y v))) ll-re-b)
im-u (+ (+ (* ll-re-a (.y v)) (* ll-im-a (.x v))) ll-im-b)
re-v (+ (- (* ll-re-c (.x v)) (* ll-im-c (.y v))) ll-re-d)
im-v (+ (+ (* ll-re-c (.y v)) (* ll-im-c (.x v))) ll-im-d)
d (+ (* re-v re-v) (* im-v im-v))]
(Vec3. (+ (* amount (+ (* ll-pz-sin (.y v)) (* ll-pz-cos (.x v))))
ll-x (* d (+ (* re-u re-v) (* im-u im-v))))
(+ (* amount (+ (* ll-pz-cos (.y v)) (* ll-pz-sin (.x v))))
ll-y (* d (+ (* im-u re-v) (* re-u im-v))))
1.0))
zerov3)
ul (if (and (< (.x v) ul-shift-x) (< (.y v) ul-shift-y))
(let [re-u (+ (- (* ul-re-a (.x v)) (* ul-im-a (.y v))) ul-re-b)
im-u (+ (+ (* ul-re-a (.y v)) (* ul-im-a (.x v))) ul-im-b)
re-v (+ (- (* ul-re-c (.x v)) (* ul-im-c (.y v))) ul-re-d)
im-v (+ (+ (* ul-re-c (.y v)) (* ul-im-c (.x v))) ul-im-d)
d (+ (* re-v re-v) (* im-v im-v))]
(Vec3. (+ (* amount (+ (* ul-pz-sin (.y v)) (* ul-pz-cos (.x v))))
ul-x (* d (+ (* re-u re-v) (* im-u im-v))))
(+ (* amount (+ (* ul-pz-cos (.y v)) (* ul-pz-sin (.x v))))
ul-y (* d (+ (* im-u re-v) (* re-u im-v))))
1.0))
zerov3)
^Vec3 sum (v/add (v/add (v/add lr ur) ll) ul)]
(if (zero? (.z sum))
(v/mult v amount)
(if mode
(Vec2. (/ (/ amount (.x sum)) (.z sum))
(/ (/ amount (.y sum)) (.z sum)))
(Vec2. (/ (* amount (.x sum)) (.z sum))
(/ (* amount (.y sum)) (.z sum))))))))))
(defn glynnlissa
([] {:type :random
:config (fn [] {:radius (u/sdrand 0.2 2.0)
:radius1 (u/sdrand 0.2 2.0)
:thickness (r/drand)
:phi (r/drand 360.0)
:a (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:b (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:width (r/drand -1.0 1.0)
:phase (r/drand m/-TWO_PI m/TWO_PI)
:scale (u/sdrand 0.5 1.5)
:pow (r/drand -6.0 6.0)
:contrast (r/drand)})})
([^double amount {:keys [^double radius ^double radius1 ^double thickness ^double phi
^double a ^double b ^double width ^double phase
^double scale ^double pow ^double contrast]}]
(let [aa (m/radians phi)
x1 (* radius (m/cos aa))
y1 (* radius (m/sin aa))
xy1 (Vec2. x1 y1)
abspow (m/abs pow)
absradius (m/abs radius)
thickness- (- 1.0 thickness)
radius1sq (* radius1 radius1)
l (fn [] (let [t (r/drand m/TWO_PI)
y (r/drand -0.5 0.5)]
(-> (Vec2. (m/sin (+ phase (* a t))) (m/sin (* b t)))
(v/mult scale)
(v/shift (* width y))
(v/mult radius1)
(v/add xy1)
(v/mult amount))))]
(fn [^Vec2 v]
(let [r (v/mag v)]
(if (< r absradius)
(if-not (neg? radius1)
(l)
(let [r (* radius1 (+ thickness (r/drand thickness-)))
phi (r/drand m/TWO_PI)]
(v/mult (v/add (Vec2. (* r (m/cos phi)) (* r (m/sin phi))) xy1) amount)))
(let [alpha (/ absradius r)
xyi (if (> (r/drand) (* contrast (m/pow alpha abspow)))
v
(v/mult v (* alpha alpha)))
Z (v/dist-sq xy1 xyi)]
(if (< Z radius1sq)
(l)
(v/mult xyi amount)))))))))
(defn glynnsim1
([] {:type :random
:config (fn [] {:radius (r/drand 0.2 2.0)
:radius1 (u/sdrand 0.2 2.0)
:phi (r/drand 360.0)
:thickness (r/drand)
:pow (r/drand -6.0 6.0)
:contrast (r/drand)})})
([^double amount {:keys [^double radius ^double radius1 ^double phi
^double thickness ^double pow ^double contrast]}]
(let [a (m/radians phi)
sinphi1 (m/sin a)
cosphi1 (m/cos a)
x1 (* radius sinphi1)
y1 (* radius cosphi1)
abspow (m/abs pow)
circle-fn #(let [r (* radius1 (+ thickness (* (- 1.0 thickness) (r/drand))))
phi (r/drand m/TWO_PI)]
(Vec2. (+ x1 (* r (m/sin phi)))
(+ y1 (* r (m/cos phi)))))]
(fn [^Vec2 v]
(let [r (v/mag v)
alpha (/ radius (+ m/EPSILON r))]
(if (< r radius)
(v/mult (circle-fn) amount)
(let [^Vec2 toolpoint (if (> (r/drand) (* contrast (m/pow alpha abspow)))
v
(v/mult v (* alpha alpha)))
z (+ (m/sq (- (.x toolpoint) x1))
(m/sq (- (.y toolpoint) y1)))]
(if (< z (* radius1 radius1))
(v/mult (circle-fn) amount)
(v/mult toolpoint amount)))))))))
(defn glynnsim2
([] {:type :random
:config (fn [] {:radius (r/drand 0.2 2.0)
:phi1 (r/drand 360.0)
:phi2 (r/drand 360.0)
:thickness (r/drand)
:pow (r/drand -6.0 6.0)
:contrast (r/drand)})})
([^double amount {:keys [^double radius ^double phi1 ^double phi2 ^double thickness
^double pow ^double contrast]}]
(let [phi10 (m/radians phi1)
phi20 (m/radians phi2)
delta (- phi20 phi10)
gamma (/ (* thickness (+ radius radius thickness))
(+ radius thickness))
abspow (m/abs pow)
circle-fn #(let [r (- (+ radius thickness)
(* gamma (r/drand)))
phi (+ phi10 (* delta (r/drand)))]
(Vec2. (* r (m/sin phi))
(* r (m/cos phi))))]
(fn [^Vec2 v]
(let [r (v/mag v)
alpha (/ radius (+ m/EPSILON r))]
(if (< r radius)
(v/mult (circle-fn) amount)
(if (> (r/drand) (* contrast (m/pow alpha abspow)))
v
(v/mult v (* alpha alpha)))))))))
(defn glynnsim3
([] {:type :random
:config (fn [] {:radius (r/drand 0.2 2.0)
:thickness (r/drand)
:pow (r/drand -6.0 6.0)
:contrast (r/drand)})})
([^double amount {:keys [^double radius ^double thickness ^double pow ^double contrast]}]
(let [radius1 (+ radius thickness)
radius2 (/ (m/sq radius) radius1)
gamma (/ radius1
(+ radius1 radius2))
abspow (m/abs pow)
circle-fn #(let [phi (r/drand m/TWO_PI)
r (if (< (r/drand) gamma) radius1 radius2)]
(Vec2. (* r (m/sin phi))
(* r (m/cos phi))))]
(fn [^Vec2 v]
(let [r (v/mag v)
alpha (/ radius (+ m/EPSILON r))]
(if (< r radius1)
(v/mult (circle-fn) amount)
(if (> (r/drand) (* contrast (m/pow alpha abspow)))
v
(v/mult v (* alpha alpha)))))))))
(defn glynnsupershape
([] {:type :random
:config (fn [] {:radius (u/sdrand 0.2 2.0)
:radius1 (u/sdrand 0.2 2.0)
:thickness (r/drand)
:phi1 (r/drand 360.0)
:m (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:n1 (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:n2 (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:n3 (r/randval (u/sirand 1 10) (u/sdrand 0.125 10.0))
:scale (u/sdrand 0.5 1.5)
:pow (r/drand -6.0 6.0)
:contrast (r/drand)})})
([^double amount {:keys [^double radius ^double radius1 ^double thickness ^double phi1
^double m ^double n1 ^double n2 ^double n3
^double scale ^double pow ^double contrast]}]
(let [aa (m/radians phi1)
x1 (* radius (m/cos aa))
y1 (* radius (m/sin aa))
xy1 (Vec2. x1 y1)
abspow (m/abs pow)
absradius (m/abs radius)
thickness- (- 1.0 thickness)
radius1sq (* radius1 radius1)
m4 (* m 0.25)
n1r (/ n1)
l (fn [] (let [phi (r/drand m/TWO_PI)
phim4 (* phi m4)
t1 (-> (m/cos phim4)
(m/abs)
(m/pow n2))
t2 (-> (m/sin phim4)
(m/abs)
(m/pow n3))
r (m/pow (+ t1 t2) n1r)]
(-> (if (zero? r) u/zerov (v/div (Vec2. (m/cos phi) (m/sin phi)) r))
(v/mult scale)
(v/mult radius1)
(v/add xy1)
(v/mult amount))))]
(fn [^Vec2 v]
(let [r (v/mag v)]
(if (< r absradius)
(if-not (neg? radius1)
(l)
(let [r (* radius1 (+ thickness (r/drand thickness-)))
phi (r/drand m/TWO_PI)]
(v/mult (v/add (Vec2. (* r (m/cos phi)) (* r (m/sin phi))) xy1) amount)))
(let [alpha (/ absradius r)
xyi (if (> (r/drand) (* contrast (m/pow alpha abspow)))
v
(v/mult v (* alpha alpha)))
Z (v/dist-sq xy1 xyi)]
(if (< Z radius1sq)
(l)
(v/mult xyi amount)))))))))
(defn glynnia3
([] {:type :random
:config (fn [] {:rscale (r/drand 0.1 2.0)
:dscale (u/sdrand 0.1 2.0)
:rthresh (r/drand)
:ythresh (r/randval 0.0 (r/drand -0.5 0.5))})})
([^double amount {:keys [^double rscale ^double dscale ^double rthresh ^double ythresh]}]
(let [vvar2 (* amount m/SQRT2_2)]
(fn [^Vec2 v]
(let [r (* rscale (v/mag v))]
(if (and (> r rthresh) (> (.y v) ythresh))
(if (r/brand)
(let [d (* dscale (m/sqrt (+ r (.x v))))]
(Vec2. (* vvar2 d)
(- (* (.y v) (/ vvar2 d)))))
(let [d (* dscale (+ r (.x v)))
dx (m/sqrt (* r (+ (* (.y v) (.y v))
(* d d))))
r (/ amount dx)]
(Vec2. (* r d) (* r (.y v)))))
(if (r/brand)
(let [d (* dscale (m/sqrt (+ r (.x v))))]
(Vec2. (- (* vvar2 d))
(- (* (.y v) (/ vvar2 d)))))
(let [d (* dscale (+ r (.x v)))
dx (m/sqrt (* r (+ (* (.y v) (.y v))
(* d d))))
r (/ amount dx)]
(Vec2. (- (* r d)) (* r (.y v)))))))))))
(defn glynnia
([] {:type :random})
([^double amount _]
(let [vvar2 (* amount m/SQRT2_2)]
(fn [^Vec2 v]
(let [r (v/mag v)]
(if (>= r 1.0)
(if (r/brand)
(let [d (m/sqrt (+ r (.x v)))]
(Vec2. (* vvar2 d)
(- (* (.y v) (/ vvar2 d)))))
(let [d (+ r (.x v))
dx (m/sqrt (* r (+ (* (.y v) (.y v))
(* d d))))
r (/ amount dx)]
(Vec2. (* r d) (* r (.y v)))))
(if (r/brand)
(let [d (m/sqrt (+ r (.x v)))]
(Vec2. (- (* vvar2 d))
(- (* (.y v) (/ vvar2 d)))))
(let [d (+ r (.x v))
dx (m/sqrt (* r (+ (* (.y v) (.y v))
(* d d))))
r (/ amount dx)]
(Vec2. (- (* r d)) (* r (.y v)))))))))))
(defn gridout2
([] {:type :regular
:config (fn [] {:a (r/drand -2.0 2.0)
:b (r/drand -2.0 2.0)
:c (r/drand -2.0 2.0)
:d (r/drand -2.0 2.0)})})
([^double amount {:keys [^double a ^double b ^double c ^double d]}]
(fn [^Vec2 v]
(let [x (* (m/rint (.x v)) c)
y (* (m/rint (.y v)) d)]
(-> (if-not (pos? y)
(if (pos? x)
(if (>= (- y) x)
(Vec2. (+ (.x v) a) (.y v))
(Vec2. (.x v) (+ (.y v) b)))
(if (<= y x)
(Vec2. (+ (.x v) a) (.y v))
(Vec2. (.x v) (- (.y v) b))))
(if (pos? x)
(if (>= y x)
(Vec2. (- (.x v) a) (.y v))
(Vec2. (.x v) (+ (.y v) b)))
(if (> y (- x))
(Vec2. (- (.x v) a) (.y v))
(Vec2. (.x v) (- (.y v) b)))))
(v/mult amount))))))
(defn gridout
([] {:type :regular})
([^double amount _]
(fn [^Vec2 v]
(let [x (m/rint (.x v))
y (m/rint (.y v))]
(-> (if-not (pos? y)
(if (pos? x)
(if (>= (- y) x)
(Vec2. (inc (.x v)) (.y v))
(Vec2. (.x v) (inc (.y v))))
(if (<= y x)
(Vec2. (inc (.x v)) (.y v))
(Vec2. (.x v) (dec (.y v)))))
(if (pos? x)
(if (>= y x)
(Vec2. (dec (.x v)) (.y v))
(Vec2. (.x v) (inc (.y v))))
(if (> y (- x))
(Vec2. (dec (.x v)) (.y v))
(Vec2. (.x v) (dec (.y v))))))
(v/mult amount))))))
;;
(defn general-noise
"Perlin noise"
([] {:type :regular
:config (fn [] (assoc (r/random-noise-cfg) :scale (u/sdrand 0.1 1.5)))})
([amount cfg]
(let [n (r/random-noise-fn cfg)]
(u/make-noise-variation amount (:scale cfg) 2.0 n))))
(defn general-noise2
"Perlin noise"
([] {:type :regular
:config (fn [] (assoc (r/random-noise-cfg) :scale (u/sdrand 0.1 1.5)))})
([amount cfg]
(let [n (r/random-noise-fn cfg)]
(u/make-noise-variation2 amount (:scale cfg) n))))