mbcp/assets/chunks/@localSearchIndexen.DvmHd6md.js

const t='{"documentCount":160,"nextId":160,"documentIds":{"0":"/en/api/#module-mbcp","1":"/en/api/mp_math/angle.html#module-mbcp-mp-math-angle","2":"/en/api/mp_math/angle.html#class-angle","3":"/en/api/mp_math/angle.html#class-anyangle-angle","4":"/en/api/mp_math/angle.html#method-init-self-value-float-is-radian-bool-false","5":"/en/api/mp_math/angle.html#method-complementary-self-anyangle","6":"/en/api/mp_math/angle.html#method-supplementary-self-anyangle","7":"/en/api/mp_math/angle.html#method-degree-self-float","8":"/en/api/mp_math/angle.html#method-minimum-positive-self-anyangle","9":"/en/api/mp_math/angle.html#method-maximum-negative-self-anyangle","10":"/en/api/mp_math/angle.html#method-sin-self-float","11":"/en/api/mp_math/angle.html#method-cos-self-float","12":"/en/api/mp_math/angle.html#method-tan-self-float","13":"/en/api/mp_math/angle.html#method-cot-self-float","14":"/en/api/mp_math/angle.html#method-sec-self-float","15":"/en/api/mp_math/angle.html#method-csc-self-float","16":"/en/api/mp_math/angle.html#method-self-other-anyangle-anyangle","17":"/en/api/mp_math/angle.html#method-eq-self-other","18":"/en/api/mp_math/angle.html#method-self-other-anyangle-anyangle-1","19":"/en/api/mp_math/angle.html#method-self-other-float-anyangle","20":"/en/api/mp_math/angle.html#method-self-other-float-anyangle-1","21":"/en/api/mp_math/angle.html#method-self-other-anyangle-float","22":"/en/api/mp_math/angle.html#method-self-other","23":"/en/api/mp_math/const.html#module-mbcp-mp-math-const","24":"/en/api/mp_math/const.html#var-pi","25":"/en/api/mp_math/const.html#var-e","26":"/en/api/mp_math/const.html#var-golden-ratio","27":"/en/api/mp_math/const.html#var-gamma","28":"/en/api/mp_math/const.html#var-epsilon","29":"/en/api/mp_math/const.html#var-approx","30":"/en/api/mp_math/equation.html#module-mbcp-mp-math-equation","31":"/en/api/mp_math/equation.html#class-curveequation","32":"/en/api/mp_math/equation.html#method-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc","33":"/en/api/mp_math/equation.html#method-call-self-t-var-point3-tuple-point3","34":"/en/api/mp_math/equation.html#func-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc","35":"/en/api/mp_math/function.html#module-mbcp-mp-math-function","36":"/en/api/mp_math/function.html#func-cal-gradient-3vf-func-threesinglevarsfunc-p-point3-epsilon-float-epsilon-vector3","37":"/en/api/mp_math/function.html#func-curry-func-multivarsfunc-args-var-onevarfunc","38":"/en/api/mp_math/#module-mbcp-mp-math","39":"/en/api/mp_math/line.html#module-mbcp-mp-math-line","40":"/en/api/mp_math/line.html#class-line3","41":"/en/api/mp_math/line.html#method-init-self-point-point3-direction-vector3","42":"/en/api/mp_math/line.html#method-approx-self-other-line3-epsilon-float-approx-bool","43":"/en/api/mp_math/line.html#method-cal-angle-self-other-line3-anyangle","44":"/en/api/mp_math/line.html#method-cal-distance-self-other-line3-point3-float","45":"/en/api/mp_math/line.html#method-cal-intersection-self-other-line3-point3","46":"/en/api/mp_math/line.html#method-cal-perpendicular-self-point-point3-line3","47":"/en/api/mp_math/line.html#method-get-point-self-t-realnumber-point3","48":"/en/api/mp_math/line.html#method-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc","49":"/en/api/mp_math/line.html#method-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool","50":"/en/api/mp_math/line.html#method-is-parallel-self-other-line3-bool","51":"/en/api/mp_math/line.html#method-is-collinear-self-other-line3-bool","52":"/en/api/mp_math/line.html#method-is-point-on-self-point-point3-bool","53":"/en/api/mp_math/line.html#method-is-coplanar-self-other-line3-bool","54":"/en/api/mp_math/line.html#method-simplify-self","55":"/en/api/mp_math/line.html#method-from-two-points-cls-p1-point3-p2-point3-line3","56":"/en/api/mp_math/line.html#method-and-self-other-line3-line3-point3-none","57":"/en/api/mp_math/line.html#method-eq-self-other-bool","58":"/en/api/mp_math/mp_math_typing.html#module-mbcp-mp-math-mp-math-typing","59":"/en/api/mp_math/mp_math_typing.html#var-realnumber","60":"/en/api/mp_math/mp_math_typing.html#var-number","61":"/en/api/mp_math/mp_math_typing.html#var-singlevar","62":"/en/api/mp_math/mp_math_typing.html#var-arrayvar","63":"/en/api/mp_math/mp_math_typing.html#var-var","64":"/en/api/mp_math/mp_math_typing.html#var-onesinglevarfunc","65":"/en/api/mp_math/mp_math_typing.html#var-onearrayfunc","66":"/en/api/mp_math/mp_math_typing.html#var-onevarfunc","67":"/en/api/mp_math/mp_math_typing.html#var-twosinglevarsfunc","68":"/en/api/mp_math/mp_math_typing.html#var-twoarraysfunc","69":"/en/api/mp_math/mp_math_typing.html#var-twovarsfunc","70":"/en/api/mp_math/mp_math_typing.html#var-threesinglevarsfunc","71":"/en/api/mp_math/mp_math_typing.html#var-threearraysfunc","72":"/en/api/mp_math/mp_math_typing.html#var-threevarsfunc","73":"/en/api/mp_math/mp_math_typing.html#var-multisinglevarsfunc","74":"/en/api/mp_math/mp_math_typing.html#var-multiarraysfunc","75":"/en/api/mp_math/mp_math_typing.html#var-multivarsfunc","76":"/en/api/mp_math/plane.html#module-mbcp-mp-math-plane","77":"/en/api/mp_math/plane.html#class-plane3","78":"/en/api/mp_math/plane.html#method-init-self-a-float-b-float-c-float-d-float","79":"/en/api/mp_math/plane.html#method-approx-self-other-plane3-bool","80":"/en/api/mp_math/plane.html#method-cal-angle-self-other-line3-plane3-anyangle","81":"/en/api/mp_math/plane.html#method-cal-distance-self-other-plane3-point3-float","82":"/en/api/mp_math/plane.html#method-cal-intersection-line3-self-other-plane3-line3","83":"/en/api/mp_math/plane.html#method-cal-intersection-point3-self-other-line3-point3","84":"/en/api/mp_math/plane.html#method-cal-parallel-plane3-self-point-point3-plane3","85":"/en/api/mp_math/plane.html#method-is-parallel-self-other-plane3-bool","86":"/en/api/mp_math/plane.html#method-normal-self-vector3","87":"/en/api/mp_math/plane.html#method-from-point-and-normal-cls-point-point3-normal-vector3-plane3","88":"/en/api/mp_math/plane.html#method-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3","89":"/en/api/mp_math/plane.html#method-from-two-lines-cls-l1-line3-l2-line3-plane3","90":"/en/api/mp_math/plane.html#method-from-point-and-line-cls-point-point3-line-line3-plane3","91":"/en/api/mp_math/plane.html#method-and-self-other-line3-point3-none","92":"/en/api/mp_math/plane.html#method-and-self-other-plane3-line3-none","93":"/en/api/mp_math/plane.html#method-and-self-other","94":"/en/api/mp_math/plane.html#method-eq-self-other-bool","95":"/en/api/mp_math/plane.html#method-rand-self-other-line3-point3","96":"/en/api/mp_math/point.html#module-mbcp-mp-math-point","97":"/en/api/mp_math/point.html#class-point3","98":"/en/api/mp_math/point.html#method-init-self-x-float-y-float-z-float","99":"/en/api/mp_math/point.html#method-approx-self-other-point3-epsilon-float-approx-bool","100":"/en/api/mp_math/point.html#method-self-other-vector3-point3","101":"/en/api/mp_math/point.html#method-self-other-point3-point3","102":"/en/api/mp_math/point.html#method-self-other","103":"/en/api/mp_math/point.html#method-eq-self-other","104":"/en/api/mp_math/point.html#method-self-other-point3-vector3","105":"/en/api/mp_math/segment.html#module-mbcp-mp-math-segment","106":"/en/api/mp_math/segment.html#class-segment3","107":"/en/api/mp_math/segment.html#method-init-self-p1-point3-p2-point3","108":"/en/api/mp_math/utils.html#module-mbcp-mp-math-utils","109":"/en/api/mp_math/utils.html#func-clamp-x-float-min-float-max-float-float","110":"/en/api/mp_math/utils.html#class-approx","111":"/en/api/mp_math/utils.html#method-init-self-value-realnumber","112":"/en/api/mp_math/utils.html#method-eq-self-other","113":"/en/api/mp_math/utils.html#method-raise-type-error-self-other","114":"/en/api/mp_math/utils.html#method-ne-self-other","115":"/en/api/mp_math/utils.html#func-approx-x-float-y-float-0-0-epsilon-float-approx-bool","116":"/en/api/mp_math/utils.html#func-sign-x-float-only-neg-bool-false-str","117":"/en/api/mp_math/utils.html#func-sign-format-x-float-only-neg-bool-false-str","118":"/en/api/mp_math/vector.html#module-mbcp-mp-math-vector","119":"/en/api/mp_math/vector.html#class-vector3","120":"/en/api/mp_math/vector.html#method-init-self-x-float-y-float-z-float","121":"/en/api/mp_math/vector.html#method-approx-self-other-vector3-epsilon-float-approx-bool","122":"/en/api/mp_math/vector.html#method-cal-angle-self-other-vector3-anyangle","123":"/en/api/mp_math/vector.html#method-cross-self-other-vector3-vector3","124":"/en/api/mp_math/vector.html#method-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool","125":"/en/api/mp_math/vector.html#method-is-parallel-self-other-vector3-bool","126":"/en/api/mp_math/vector.html#method-normalize-self","127":"/en/api/mp_math/vector.html#method-np-array-self-np-ndarray","128":"/en/api/mp_math/vector.html#method-length-self-float","129":"/en/api/mp_math/vector.html#method-unit-self-vector3","130":"/en/api/mp_math/vector.html#method-abs-self","131":"/en/api/mp_math/vector.html#method-self-other-vector3-vector3","132":"/en/api/mp_math/vector.html#method-self-other-point3-point3","133":"/en/api/mp_math/vector.html#method-self-other","134":"/en/api/mp_math/vector.html#method-eq-self-other","135":"/en/api/mp_math/vector.html#method-self-other-point3-point3-1","136":"/en/api/mp_math/vector.html#method-self-other-vector3-vector3-1","137":"/en/api/mp_math/vector.html#method-self-other-point3-point3-2","138":"/en/api/mp_math/vector.html#method-self-other-1","139":"/en/api/mp_math/vector.html#method-self-other-point3","140":"/en/api/mp_math/vector.html#method-self-other-vector3-vector3-2","141":"/en/api/mp_math/vector.html#method-self-other-realnumber-vector3","142":"/en/api/mp_math/vector.html#method-self-other-int-float-vector3-vector3","143":"/en/api/mp_math/vector.html#method-self-other-realnumber-vector3-1","144":"/en/api/mp_math/vector.html#method-self-other-vector3-realnumber","145":"/en/api/mp_math/vector.html#method-self-other-realnumber-vector3-2","146":"/en/api/mp_math/vector.html#method-self-vector3","147":"/en/api/mp_math/vector.html#var-zero-vector3","148":"/en/api/mp_math/vector.html#var-x-axis","149":"/en/api/mp_math/vector.html#var-y-axis","150":"/en/api/mp_math/vector.html#var-z-axis","151":"/en/api/particle/#module-mbcp-particle","152":"/en/api/presets/#module-mbcp-presets","153":"/en/api/presets/model/#module-mbcp-presets-model","154":"/en/api/presets/model/#class-geometricmodels","155":"/en/api/presets/model/#method-sphere-radius-float-density-float","156":"/en/demo/best-practice.html#best-practice","157":"/en/demo/best-practice.html#works","158":"/en/guide/#开始不了一点","159":"/en/refer/#reference"},"fieldIds":{"title":0,"titles":1,"text":2},"fieldLength":{"0":[2,1,12],"1":[5,1,2],"2":[2,5,1],"3":[4,5,1],"4":[11,9,28],"5":[5,9,27],"6":[5,9,26],"7":[5,9,23],"8":[6,9,24],"9":[6,9,26],"10":[5,9,21],"11":[5,9,21],"12":[5,9,21],"13":[5,9,23],"14":[5,9,23],"15":[5,9,23],"16":[7,9,18],"17":[5,9,14],"18":[6,9,17],"19":[7,9,19],"20":[7,9,16],"21":[7,9,16],"22":[3,9,18],"23":[5,1,2],"24":[2,5,7],"25":[2,5,8],"26":[3,5,10],"27":[2,5,6],"28":[2,5,6],"29":[2,5,6],"30":[5,1,2],"31":[2,5,1],"32":[9,7,29],"33":[10,7,38],"34":[14,5,76],"35":[5,1,2],"36":[13,5,72],"37":[7,5,65],"38":[4,1,20],"39":[5,1,2],"40":[2,5,1],"41":[8,7,28],"42":[11,7,46],"43":[8,7,31],"44":[10,7,65],"45":[8,7,62],"46":[8,7,32],"47":[8,7,38],"48":[9,7,45],"49":[14,7,46],"50":[8,7,39],"51":[8,7,42],"52":[8,7,38],"53":[8,7,45],"54":[4,7,30],"55":[10,7,39],"56":[9,7,54],"57":[6,7,47],"58":[5,1,2],"59":[2,5,9],"60":[2,5,9],"61":[2,5,7],"62":[2,5,8],"63":[2,5,9],"64":[2,5,8],"65":[2,5,8],"66":[2,5,9],"67":[2,5,8],"68":[2,5,8],"69":[2,5,9],"70":[2,5,8],"71":[2,5,8],"72":[2,5,9],"73":[2,5,8],"74":[2,5,8],"75":[2,5,9],"76":[5,1,2],"77":[2,5,1],"78":[9,7,39],"79":[7,7,48],"80":[10,7,64],"81":[10,7,68],"82":[9,7,73],"83":[9,7,70],"84":[9,7,33],"85":[8,7,40],"86":[5,7,28],"87":[10,7,48],"88":[11,7,42],"89":[10,7,47],"90":[10,7,38],"91":[9,7,18],"92":[9,7,18],"93":[5,7,72],"94":[6,7,38],"95":[7,7,18],"96":[5,1,2],"97":[2,5,1],"98":[8,7,29],"99":[11,7,48],"100":[8,7,16],"101":[7,7,15],"102":[4,7,37],"103":[5,7,40],"104":[7,7,39],"105":[5,1,2],"106":[2,5,1],"107":[7,7,35],"108":[5,1,2],"109":[7,5,34],"110":[2,5,1],"111":[6,7,23],"112":[5,7,34],"113":[7,7,18],"114":[5,7,14],"115":[11,5,43],"116":[11,5,46],"117":[12,5,52],"118":[5,1,3],"119":[2,5,1],"120":[8,7,32],"121":[11,7,47],"122":[8,7,34],"123":[6,7,46],"124":[13,7,46],"125":[8,7,40],"126":[4,7,20],"127":[6,7,34],"128":[5,7,36],"129":[5,7,24],"130":[4,7,13],"131":[7,7,15],"132":[7,7,15],"133":[4,7,49],"134":[5,7,40],"135":[7,7,34],"136":[6,7,15],"137":[6,7,15],"138":[3,7,48],"139":[4,7,45],"140":[6,7,15],"141":[7,7,16],"142":[9,7,58],"143":[7,7,16],"144":[7,7,41],"145":[7,7,18],"146":[5,7,24],"147":[3,5,7],"148":[3,5,8],"149":[3,5,8],"150":[3,5,8],"151":[3,1,2],"152":[3,1,2],"153":[4,1,2],"154":[2,4,2],"155":[6,6,51],"156":[2,1,1],"157":[1,2,25],"158":[1,1,2],"159":[1,1,7]},"averageFieldLength":[5.749999999999999,5.931249999999998,24.6625],"storedFields":{"0":{"title":"Module mbcp","titles":[]},"1":{"title":"Module mbcp.mp_math.angle","titles":[]},"2":{"title":"class Angle","titles":["Module mbcp.mp_math.angle"]},"3":{"title":"class AnyAngle(Angle)","titles":["Module mbcp.mp_math.angle"]},"4":{"title":"method __init__(self, value: float, is_radian: bool = False)","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"5":{"title":"method complementary(self) -> AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"6":{"title":"method supplementary(self) -> AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"7":{"title":"method degree(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"8":{"title":"method minimum_positive(self) -> AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"9":{"title":"method maximum_negative(self) -> AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"10":{"title":"method sin(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"11":{"title":"method cos(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"12":{"title":"method tan(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"13":{"title":"method cot(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"14":{"title":"method sec(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"15":{"title":"method csc(self) -> float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"16":{"title":"method self + other: AnyAngle => AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"17":{"title":"method __eq__(self, other)","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"18":{"title":"method self - other: AnyAngle => AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"19":{"title":"method self * other: float => AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"20":{"title":"method self / other: float => AnyAngle","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"21":{"title":"method self / other: AnyAngle => float","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"22":{"title":"method self / other","titles":["Module mbcp.mp_math.angle","class AnyAngle(Angle)"]},"23":{"title":"Module mbcp.mp_math.const","titles":[]},"24":{"title":"var PI","titles":["Module mbcp.mp_math.const"]},"25":{"title":"var E","titles":["Module mbcp.mp_math.const"]},"26":{"title":"var GOLDEN_RATIO","titles":["Module mbcp.mp_math.const"]},"27":{"title":"var GAMMA","titles":["Module mbcp.mp_math.const"]},"28":{"title":"var EPSILON","titles":["Module mbcp.mp_math.const"]},"29":{"title":"var APPROX","titles":["Module mbcp.mp_math.const"]},"30":{"title":"Module mbcp.mp_math.equation","titles":[]},"31":{"title":"class CurveEquation","titles":["Module mbcp.mp_math.equation"]},"32":{"title":"method __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)","titles":["Module mbcp.mp_math.equation","class CurveEquation"]},"33":{"title":"method __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]","titles":["Module mbcp.mp_math.equation","class CurveEquation"]},"34":{"title":"func get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc","titles":["Module mbcp.mp_math.equation"]},"35":{"title":"Module mbcp.mp_math.function","titles":[]},"36":{"title":"func cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3","titles":["Module mbcp.mp_math.function"]},"37":{"title":"func curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc","titles":["Module mbcp.mp_math.function"]},"38":{"title":"Module mbcp.mp_math","titles":[]},"39":{"title":"Module mbcp.mp_math.line","titles":[]},"40":{"title":"class Line3","titles":["Module mbcp.mp_math.line"]},"41":{"title":"method __init__(self, point: Point3, direction: Vector3)","titles":["Module mbcp.mp_math.line","class Line3"]},"42":{"title":"method approx(self, other: Line3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"43":{"title":"method cal_angle(self, other: Line3) -> AnyAngle","titles":["Module mbcp.mp_math.line","class Line3"]},"44":{"title":"method cal_distance(self, other: Line3 | Point3) -> float","titles":["Module mbcp.mp_math.line","class Line3"]},"45":{"title":"method cal_intersection(self, other: Line3) -> Point3","titles":["Module mbcp.mp_math.line","class Line3"]},"46":{"title":"method cal_perpendicular(self, point: Point3) -> Line3","titles":["Module mbcp.mp_math.line","class Line3"]},"47":{"title":"method get_point(self, t: RealNumber) -> Point3","titles":["Module mbcp.mp_math.line","class Line3"]},"48":{"title":"method get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]","titles":["Module mbcp.mp_math.line","class Line3"]},"49":{"title":"method is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"50":{"title":"method is_parallel(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"51":{"title":"method is_collinear(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"52":{"title":"method is_point_on(self, point: Point3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"53":{"title":"method is_coplanar(self, other: Line3) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"54":{"title":"method simplify(self)","titles":["Module mbcp.mp_math.line","class Line3"]},"55":{"title":"method from_two_points(cls, p1: Point3, p2: Point3) -> Line3","titles":["Module mbcp.mp_math.line","class Line3"]},"56":{"title":"method __and__(self, other: Line3) -> Line3 | Point3 | None","titles":["Module mbcp.mp_math.line","class Line3"]},"57":{"title":"method __eq__(self, other) -> bool","titles":["Module mbcp.mp_math.line","class Line3"]},"58":{"title":"Module mbcp.mp_math.mp_math_typing","titles":[]},"59":{"title":"var RealNumber","titles":["Module mbcp.mp_math.mp_math_typing"]},"60":{"title":"var Number","titles":["Module mbcp.mp_math.mp_math_typing"]},"61":{"title":"var SingleVar","titles":["Module mbcp.mp_math.mp_math_typing"]},"62":{"title":"var ArrayVar","titles":["Module mbcp.mp_math.mp_math_typing"]},"63":{"title":"var Var","titles":["Module mbcp.mp_math.mp_math_typing"]},"64":{"title":"var OneSingleVarFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"65":{"title":"var OneArrayFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneVarFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"67":{"title":"var TwoSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"68":{"title":"var TwoArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"70":{"title":"var ThreeSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"71":{"title":"var ThreeArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"72":{"title":"var ThreeVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"73":{"title":"var MultiSingleVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"74":{"title":"var MultiArraysFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"75":{"title":"var MultiVarsFunc","titles":["Module mbcp.mp_math.mp_math_typing"]},"76":{"title":"Module mbcp.mp_math.plane","titles":[]},"77":{"title":"class Plane3","titles":["Module mbcp.mp_math.plane"]},"78":{"title":"method __init__(self, a: float, b: float, c: float, d: float)","titles":["Module mbcp.mp_math.plane","class Plane3"]},"79":{"title":"method approx(self, other: Plane3) -> bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"80":{"title":"method cal_angle(self, other: Line3 | Plane3) -> AnyAngle","titles":["Module mbcp.mp_math.plane","class Plane3"]},"81":{"title":"method cal_distance(self, other: Plane3 | Point3) -> float","titles":["Module mbcp.mp_math.plane","class Plane3"]},"82":{"title":"method cal_intersection_line3(self, other: Plane3) -> Line3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"83":{"title":"method cal_intersection_point3(self, other: Line3) -> Point3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"84":{"title":"method cal_parallel_plane3(self, point: Point3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"85":{"title":"method is_parallel(self, other: Plane3) -> bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"86":{"title":"method normal(self) -> Vector3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"87":{"title":"method from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"88":{"title":"method from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"89":{"title":"method from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"90":{"title":"method from_point_and_line(cls, point: Point3, line: Line3) -> Plane3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"91":{"title":"method __and__(self, other: Line3) -> Point3 | None","titles":["Module mbcp.mp_math.plane","class Plane3"]},"92":{"title":"method __and__(self, other: Plane3) -> Line3 | None","titles":["Module mbcp.mp_math.plane","class Plane3"]},"93":{"title":"method __and__(self, other)","titles":["Module mbcp.mp_math.plane","class Plane3"]},"94":{"title":"method __eq__(self, other) -> bool","titles":["Module mbcp.mp_math.plane","class Plane3"]},"95":{"title":"method __rand__(self, other: Line3) -> Point3","titles":["Module mbcp.mp_math.plane","class Plane3"]},"96":{"title":"Module mbcp.mp_math.point","titles":[]},"97":{"title":"class Point3","titles":["Module mbcp.mp_math.point"]},"98":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["Module mbcp.mp_math.point","class Point3"]},"99":{"title":"method approx(self, other: Point3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.point","class Point3"]},"100":{"title":"method self + other: Vector3 => Point3","titles":["Module mbcp.mp_math.point","class Point3"]},"101":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.point","class Point3"]},"102":{"title":"method self + other","titles":["Module mbcp.mp_math.point","class Point3"]},"103":{"title":"method __eq__(self, other)","titles":["Module mbcp.mp_math.point","class Point3"]},"104":{"title":"method self - other: Point3 => Vector3","titles":["Module mbcp.mp_math.point","class Point3"]},"105":{"title":"Module mbcp.mp_math.segment","titles":[]},"106":{"title":"class Segment3","titles":["Module mbcp.mp_math.segment"]},"107":{"title":"method __init__(self, p1: Point3, p2: Point3)","titles":["Module mbcp.mp_math.segment","class Segment3"]},"108":{"title":"Module mbcp.mp_math.utils","titles":[]},"109":{"title":"func clamp(x: float, min_: float, max_: float) -> float","titles":["Module mbcp.mp_math.utils"]},"110":{"title":"class Approx","titles":["Module mbcp.mp_math.utils"]},"111":{"title":"method __init__(self, value: RealNumber)","titles":["Module mbcp.mp_math.utils","class Approx"]},"112":{"title":"method __eq__(self, other)","titles":["Module mbcp.mp_math.utils","class Approx"]},"113":{"title":"method raise_type_error(self, other)","titles":["Module mbcp.mp_math.utils","class Approx"]},"114":{"title":"method __ne__(self, other)","titles":["Module mbcp.mp_math.utils","class Approx"]},"115":{"title":"func approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.utils"]},"116":{"title":"func sign(x: float, only_neg: bool = False) -> str","titles":["Module mbcp.mp_math.utils"]},"117":{"title":"func sign_format(x: float, only_neg: bool = False) -> str","titles":["Module mbcp.mp_math.utils"]},"118":{"title":"Module mbcp.mp_math.vector","titles":[]},"119":{"title":"class Vector3","titles":["Module mbcp.mp_math.vector"]},"120":{"title":"method __init__(self, x: float, y: float, z: float)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"121":{"title":"method approx(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"122":{"title":"method cal_angle(self, other: Vector3) -> AnyAngle","titles":["Module mbcp.mp_math.vector","class Vector3"]},"123":{"title":"method cross(self, other: Vector3) -> Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"124":{"title":"method is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"125":{"title":"method is_parallel(self, other: Vector3) -> bool","titles":["Module mbcp.mp_math.vector","class Vector3"]},"126":{"title":"method normalize(self)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"127":{"title":"method np_array(self) -> np.ndarray","titles":["Module mbcp.mp_math.vector","class Vector3"]},"128":{"title":"method length(self) -> float","titles":["Module mbcp.mp_math.vector","class Vector3"]},"129":{"title":"method unit(self) -> Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"130":{"title":"method __abs__(self)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"131":{"title":"method self + other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"132":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"133":{"title":"method self + other","titles":["Module mbcp.mp_math.vector","class Vector3"]},"134":{"title":"method __eq__(self, other)","titles":["Module mbcp.mp_math.vector","class Vector3"]},"135":{"title":"method self + other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"136":{"title":"method self - other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"137":{"title":"method self - other: Point3 => Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"138":{"title":"method self - other","titles":["Module mbcp.mp_math.vector","class Vector3"]},"139":{"title":"method self - other: Point3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"140":{"title":"method self * other: Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"141":{"title":"method self * other: RealNumber => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"142":{"title":"method self * other: int | float | Vector3 => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"143":{"title":"method self * other: RealNumber => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"144":{"title":"method self @ other: Vector3 => RealNumber","titles":["Module mbcp.mp_math.vector","class Vector3"]},"145":{"title":"method self / other: RealNumber => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"146":{"title":"method - self => Vector3","titles":["Module mbcp.mp_math.vector","class Vector3"]},"147":{"title":"var zero_vector3","titles":["Module mbcp.mp_math.vector"]},"148":{"title":"var x_axis","titles":["Module mbcp.mp_math.vector"]},"149":{"title":"var y_axis","titles":["Module mbcp.mp_math.vector"]},"150":{"title":"var z_axis","titles":["Module mbcp.mp_math.vector"]},"151":{"title":"Module mbcp.particle","titles":[]},"152":{"title":"Module mbcp.presets","titles":[]},"153":{"title":"Module mbcp.presets.model","titles":[]},"154":{"title":"class GeometricModels","titles":["Module mbcp.presets.model"]},"155":{"title":"method sphere(radius: float, density: float)","titles":["Module mbcp.presets.model","class GeometricModels"]},"156":{"title":"Best Practice","titles":[]},"157":{"title":"Works","titles":["Best Practice"]},"158":{"title":"开始不了一点","titles":[]},"159":{"title":"Reference","titles":[]}},"dirtCount":0,"index":[["∫12x111",{"2":{"158":1}}],["开始不了一点",{"0":{"158":1}}],["红石音乐",{"2":{"157":1}}],["这么可爱真是抱歉",{"2":{"157":1}}],["这玩意不太稳定",{"2":{"34":2}}],["轻涟",{"2":{"157":1}}],["芙宁娜pv曲",{"2":{"157":1}}],["有点甜~",{"2":{"157":1}}],["有关函数柯里化",{"2":{"37":2}}],["星穹铁道",{"2":{"157":1}}],["崩坏",{"2":{"157":1}}],["使一颗心免于哀伤",{"2":{"157":1}}],["总有一条蜿蜒在童话镇里",{"2":{"157":1}}],["童话镇~",{"2":{"157":1}}],["特效红石音乐",{"2":{"157":2}}],["works",{"0":{"157":1}}],["warning",{"2":{"34":2}}],["4",{"2":{"155":1}}],["球体上的点集",{"2":{"155":2}}],["生成球体上的点集",{"2":{"155":2}}],["几何模型点集",{"2":{"153":1}}],["零向量",{"2":{"147":1}}],["负向量",{"2":{"146":2}}],["取负",{"2":{"146":2}}],["取两平面的交集",{"2":{"93":2}}],["非点乘",{"2":{"142":2}}],["别去点那边实现了",{"2":{"135":2}}],["单位向量",{"2":{"129":2}}],["单变量",{"2":{"61":1}}],["模",{"2":{"128":2}}],["向量的模",{"2":{"128":2}}],["向量积",{"2":{"123":2}}],["返回numpy数组",{"2":{"127":1}}],["返回如下行列式的结果",{"2":{"123":1}}],["将向量归一化",{"2":{"126":2}}],["j",{"2":{"123":1}}],["其余结果的模为平行四边形的面积",{"2":{"123":2}}],["叉乘使用cross",{"2":{"142":2}}],["叉乘结果",{"2":{"123":2}}],["叉乘为0",{"2":{"123":2}}],["叉乘",{"2":{"123":2}}],["以及一些常用的向量",{"2":{"118":1}}],["格式化符号数",{"2":{"117":2}}],["quot",{"2":{"116":2,"117":4}}],["符号",{"2":{"116":2,"117":2}}],["获取该向量的单位向量",{"2":{"129":2}}],["获取数的符号",{"2":{"116":2}}],["获取直线的参数方程",{"2":{"48":2}}],["获取直线上的点",{"2":{"47":2}}],["用于判断是否近似于0",{"2":{"115":2}}],["用于近似比较对象",{"2":{"111":2}}],["或包装一个实数",{"2":{"115":2}}],["或整数元组",{"2":{"34":2}}],["限定在区间内的值",{"2":{"109":2}}],["值",{"2":{"109":2}}],["区间限定函数",{"2":{"109":2}}],["us",{"2":{"159":1}}],["unit",{"0":{"129":1},"2":{"129":1}}],["unsupported",{"2":{"44":1,"80":1,"81":1,"93":1,"113":1,"133":1,"138":1,"139":1,"142":1}}],["utils",{"0":{"108":1},"1":{"109":1,"110":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1}}],["中心点",{"2":{"107":1}}],["中实现",{"2":{"104":2}}],["长度",{"2":{"107":1}}],["线段的另一个端点",{"2":{"107":2}}],["线段的一个端点",{"2":{"107":2}}],["新的向量或点",{"2":{"133":2}}],["新的向量",{"2":{"104":2,"138":2}}],["新的点",{"2":{"102":2,"135":2,"139":2}}],["已在",{"2":{"104":2}}],["已知一个函数$f",{"2":{"36":1}}],["已知一个函数f",{"2":{"36":1}}],["坐标",{"2":{"98":6}}],["笛卡尔坐标系中的点",{"2":{"98":2}}],["人话",{"2":{"93":2}}],["法向量",{"2":{"86":2,"87":2}}],["k``",{"2":{"123":1}}],["k",{"2":{"79":12}}],["常数项",{"2":{"78":2}}],["常量",{"2":{"24":1}}],["平面上一点",{"2":{"87":2,"90":2}}],["平面的法向量",{"2":{"86":2}}],["平面",{"2":{"84":2,"87":2,"88":2,"89":2,"90":2}}],["平面与直线平行或重合",{"2":{"83":2}}],["平面平行且无交线",{"2":{"82":2}}],["平面方程",{"2":{"78":2}}],["平行线返回none",{"2":{"56":2}}],["多元函数",{"2":{"75":1}}],["多元数组函数",{"2":{"74":1}}],["多元单变量函数",{"2":{"73":1}}],["二元函数",{"2":{"69":1}}],["二元数组函数",{"2":{"68":1}}],["二元单变量函数",{"2":{"67":1}}],["一元函数",{"2":{"66":1}}],["一元数组函数",{"2":{"65":1}}],["一元单变量函数",{"2":{"64":1}}],["一阶偏导",{"2":{"34":2}}],["变量",{"2":{"63":1}}],["变量位置",{"2":{"34":2}}],["数组运算结果",{"2":{"142":2}}],["数组运算",{"2":{"142":2}}],["数组变量",{"2":{"62":1}}],["数2",{"2":{"115":2}}],["数1",{"2":{"115":2}}],["数",{"2":{"60":1,"116":2,"117":2}}],["数学工具",{"2":{"0":1}}],["实数",{"2":{"59":1,"111":2}}],["∧",{"2":{"57":2}}],["交线",{"2":{"82":2,"93":2}}],["交线返回交点",{"2":{"56":2}}],["交集",{"2":{"56":2,"93":2}}],["交点",{"2":{"45":2,"83":2}}],["重合线返回自身",{"2":{"56":2}}],["由点和直线构造平面",{"2":{"90":2}}],["由点和法向量构造平面",{"2":{"87":2}}],["由两直线构造平面",{"2":{"89":2}}],["由两点构造直线",{"2":{"55":2}}],["由三点构造平面",{"2":{"88":2}}],["由一个点和一个方向向量确定",{"2":{"41":2}}],["工厂函数",{"2":{"55":2,"87":2,"88":2,"89":2,"90":2}}],["并对向量单位化",{"2":{"54":2}}],["处理",{"2":{"54":2}}],["处的梯度向量为",{"2":{"36":1}}],["化",{"2":{"54":2}}],["按照可行性一次对x",{"2":{"54":2}}],["不返回值",{"2":{"54":2,"126":2}}],["不支持的类型",{"2":{"44":2,"80":2,"81":2,"93":2}}],["自体归一化",{"2":{"126":2}}],["自体简化",{"2":{"54":2}}],["自然对数的底",{"2":{"25":1}}],["等价相等",{"2":{"54":2}}],["简化直线方程",{"2":{"54":2}}],["两直线方向向量的叉乘与两直线上任意一点的向量的点积为0",{"2":{"53":2}}],["两角的和为180°",{"2":{"6":2}}],["两角的和为90°",{"2":{"5":2}}],["充要条件",{"2":{"53":2}}],["判断两个向量是否相等",{"2":{"134":2}}],["判断两个向量是否平行",{"2":{"125":2}}],["判断两个向量是否近似平行",{"2":{"124":2}}],["判断两个向量是否近似相等",{"2":{"121":2}}],["判断两个数是否近似相等",{"2":{"115":2}}],["判断两个点是否相等",{"2":{"103":2}}],["判断两个点是否近似相等",{"2":{"99":2}}],["判断两个平面是否等价",{"2":{"94":2}}],["判断两个平面是否平行",{"2":{"85":2}}],["判断两个平面是否近似相等",{"2":{"79":2}}],["判断两条直线是否等价",{"2":{"57":2}}],["判断两条直线是否共面",{"2":{"53":2}}],["判断两条直线是否共线",{"2":{"51":2}}],["判断两条直线是否平行",{"2":{"50":2}}],["判断两条直线是否近似平行",{"2":{"49":2}}],["判断两条直线是否近似相等",{"2":{"42":2}}],["判断点是否在直线上",{"2":{"52":2}}],["另一个向量或数",{"2":{"142":2}}],["另一个向量或点",{"2":{"133":2,"138":2}}],["另一个向量",{"2":{"121":2,"122":2,"123":2,"124":2,"125":2,"134":2,"144":2}}],["另一个点或向量",{"2":{"102":2}}],["另一个点",{"2":{"99":2,"103":2,"104":2,"135":2,"139":2}}],["另一个平面或点",{"2":{"81":2}}],["另一个平面或直线",{"2":{"80":2,"93":2}}],["另一个平面",{"2":{"79":2,"82":2,"85":2,"94":2}}],["另一",{"2":{"50":2,"51":2,"53":2}}],["另一条直线或点",{"2":{"44":2}}],["另一条直线",{"2":{"42":2,"43":2,"45":2,"49":2,"56":2,"57":2}}],["则两向量平行",{"2":{"123":2}}],["则同一个t对应的点不同",{"2":{"47":2}}],["则其在点$",{"2":{"36":1}}],["则其在点",{"2":{"36":1}}],["但起始点和方向向量不同",{"2":{"47":2}}],["同一条直线",{"2":{"47":2}}],["垂线",{"2":{"46":2}}],["指定点",{"2":{"46":2,"84":2}}],["直线",{"2":{"55":2,"83":2,"89":4,"90":2}}],["直线不共面",{"2":{"45":2}}],["直线平行",{"2":{"45":2}}],["直线上的一点",{"2":{"41":2}}],["距离",{"2":{"44":2,"81":2}}],["夹角",{"2":{"43":2,"80":2,"122":2}}],["是否只返回负数的符号",{"2":{"116":2,"117":2}}],["是否相等",{"2":{"103":2,"134":2}}],["是否等价",{"2":{"57":2,"94":2}}],["是否共面",{"2":{"53":2}}],["是否共线",{"2":{"51":2}}],["是否在直线上",{"2":{"52":2}}],["是否平行",{"2":{"50":2,"85":2,"125":2}}],["是否近似平行",{"2":{"49":2,"124":2}}],["是否近似相等",{"2":{"42":2,"79":2,"99":2,"115":2,"121":2}}],["是否为弧度",{"2":{"4":2}}],["误差",{"2":{"42":2,"49":2,"99":2,"115":2,"121":2,"124":2}}],["方向向量",{"2":{"41":2,"107":1}}],["三元数组函数",{"2":{"71":1}}],["三元单变量函数",{"2":{"70":1}}],["三元函数",{"2":{"36":2,"72":1}}],["三维空间中的线段",{"2":{"107":2}}],["三维空间中的直线",{"2":{"41":2}}],["三维向量",{"2":{"38":1}}],["三维线段",{"2":{"38":1}}],["三维点",{"2":{"38":1}}],["三维平面",{"2":{"38":1}}],["三维直线",{"2":{"38":1}}],["导入的类有",{"2":{"38":1}}],["本包定义了一些常用的导入",{"2":{"38":1}}],["本模块塞了一些预设",{"2":{"152":1}}],["本模块用于内部类型提示",{"2":{"58":1}}],["本模块定义了粒子生成相关的工具",{"2":{"151":1}}],["本模块定义了3维向量的类vector3",{"2":{"118":1}}],["本模块定义了一些常用的工具函数",{"2":{"108":1}}],["本模块定义了一些常用的常量",{"2":{"23":1}}],["本模块定义了三维空间中点的类",{"2":{"96":1}}],["本模块定义了三维空间中的线段类",{"2":{"105":1}}],["本模块定义了三维空间中的平面类",{"2":{"76":1}}],["本模块定义了三维空间中的直线类",{"2":{"39":1}}],["本模块定义了方程相关的类和函数以及一些常用的数学函数",{"2":{"30":1}}],["本模块定义了角度相关的类",{"2":{"1":1}}],["本模块是主模块",{"2":{"0":1}}],["help",{"2":{"159":1}}],["heart",{"2":{"157":1}}],["have",{"2":{"82":1}}],["html",{"2":{"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"127":1,"128":1,"134":1,"142":1,"144":1}}],["https",{"2":{"37":1,"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"127":1,"128":1,"134":1,"142":1,"144":1}}],["high",{"2":{"34":2}}],["hide",{"2":{"34":2,"37":1}}],["6",{"2":{"37":2}}],["3维向量",{"2":{"120":2}}],["3a",{"2":{"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"57":1,"78":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"120":1,"121":2,"124":2,"125":1,"127":1,"128":1,"134":1,"142":1,"144":1}}],["355859667",{"2":{"37":1}}],["3",{"2":{"37":2,"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"128":1,"134":1,"142":1,"144":1}}],["3vf",{"0":{"36":1},"2":{"36":1}}],["breaking",{"2":{"157":1}}],["best",{"0":{"156":1},"1":{"157":1}}],["by",{"2":{"78":2}}],["bound=iterable",{"2":{"62":1}}],["bound=number",{"2":{"61":1}}],["bool=false",{"2":{"4":1,"116":1,"117":1}}],["bool",{"0":{"4":1,"42":1,"49":1,"50":1,"51":1,"52":1,"53":1,"57":1,"79":1,"85":1,"94":1,"99":1,"115":1,"116":1,"117":1,"121":1,"124":1,"125":1},"2":{"42":3,"49":3,"50":3,"51":3,"52":3,"53":3,"57":3,"79":3,"85":3,"94":3,"99":3,"103":2,"115":3,"116":2,"117":2,"121":3,"124":3,"125":3,"134":2}}],["b",{"0":{"78":1},"2":{"37":4,"78":5,"79":7,"81":2,"82":12,"83":2,"86":1,"87":3}}],["柯里化后的函数",{"2":{"37":2}}],["柯理化",{"2":{"37":2}}],["函数式编程",{"2":{"37":1}}],["函数",{"2":{"37":2}}],["对多参数函数进行柯里化",{"2":{"37":2}}],["d",{"0":{"78":1},"2":{"78":7,"79":6,"81":1,"82":6,"83":1,"87":2}}],["documentation",{"2":{"159":1}}],["doc",{"2":{"127":1}}],["docs",{"2":{"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"128":1,"134":1,"142":1,"144":1}}],["do",{"2":{"45":2}}],["distance",{"0":{"44":1,"81":1},"2":{"44":1,"81":1}}],["direction",{"0":{"41":1},"2":{"41":5,"42":1,"43":2,"44":8,"45":6,"46":1,"47":1,"48":3,"49":2,"50":2,"51":1,"52":1,"53":2,"54":4,"55":2,"57":3,"80":1,"82":2,"83":4,"89":1,"90":1,"93":1,"107":2}}],["dz",{"2":{"36":2}}],["dy",{"2":{"36":2}}],["dx",{"2":{"36":2}}],["density",{"0":{"155":1},"2":{"155":4}}],["derivative",{"0":{"34":1},"2":{"34":6}}],["degree",{"0":{"7":1},"2":{"7":1}}],["default",{"2":{"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"59":1,"60":1,"61":1,"62":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"147":1,"148":1,"149":1,"150":1}}],["def",{"2":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"20":1,"21":1,"34":2,"37":2,"55":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"100":1,"101":1,"127":1,"128":1,"129":1,"131":1,"132":1,"136":1,"137":1,"140":1,"141":1,"155":1}}],["description",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"59":1,"60":1,"61":1,"62":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"93":1,"94":1,"98":1,"99":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"128":1,"129":1,"133":1,"134":1,"135":1,"138":1,"139":1,"142":1,"144":1,"146":1,"147":1,"148":1,"149":1,"150":1,"155":1}}],["$处的梯度向量为",{"2":{"36":1}}],["$",{"2":{"36":3}}],["梯度",{"2":{"36":2}}],["点乘结果",{"2":{"144":2}}],["点乘",{"2":{"144":2}}],["点乘使用",{"2":{"142":2}}],["点3",{"2":{"88":2}}],["点法式构造",{"2":{"87":2}}],["点2",{"2":{"55":2,"88":2}}],["点1",{"2":{"55":2,"88":2}}],["点",{"2":{"36":2,"47":2,"52":2}}],["∂f∂z",{"2":{"36":1}}],["∂f∂y",{"2":{"36":1}}],["∂f∂x",{"2":{"36":1}}],["∇f",{"2":{"36":1}}],["计算平行于该平面且过指定点的平面",{"2":{"84":2}}],["计算平面与直线的交点",{"2":{"83":2}}],["计算平面与平面或点之间的距离",{"2":{"81":2}}],["计算平面与平面之间的夹角",{"2":{"80":2}}],["计算两个向量之间的夹角",{"2":{"122":2}}],["计算两平面的交线",{"2":{"82":2}}],["计算两条直线点集合的交集",{"2":{"56":2}}],["计算两条直线的交点",{"2":{"45":2}}],["计算直线经过指定点p的垂线",{"2":{"46":2}}],["计算直线和直线或点之间的距离",{"2":{"44":2}}],["计算直线和直线之间的夹角",{"2":{"43":2}}],["计算三元函数在某点的梯度向量",{"2":{"36":2}}],["计算曲线上的点",{"2":{"33":2}}],["求高阶偏导函数",{"2":{"34":1}}],["求n元函数一阶偏导函数",{"2":{"34":2}}],["l2",{"0":{"89":1},"2":{"89":5}}],["l1",{"0":{"89":1},"2":{"89":7}}],["lambda",{"2":{"48":3}}],["left",{"2":{"36":1}}],["length",{"0":{"128":1},"2":{"44":5,"45":1,"80":2,"107":2,"122":2,"124":1,"126":5,"128":1,"129":1,"130":1}}],["len",{"2":{"33":1}}],["linalg",{"2":{"82":3}}],["lines",{"0":{"89":1},"2":{"45":2,"89":1}}],["line",{"0":{"39":1,"90":2},"1":{"40":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1},"2":{"42":1,"43":1,"44":1,"45":1,"46":1,"49":1,"50":1,"51":1,"53":1,"55":1,"56":2,"57":1,"80":1,"82":1,"83":2,"89":1,"90":6,"93":2}}],["line3",{"0":{"40":1,"42":1,"43":1,"44":1,"45":1,"46":1,"49":1,"50":1,"51":1,"53":1,"55":1,"56":2,"80":1,"82":2,"83":1,"89":2,"90":1,"91":1,"92":1,"95":1},"1":{"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1},"2":{"38":1,"42":3,"43":3,"44":4,"45":3,"46":4,"49":3,"50":3,"51":3,"53":3,"55":3,"56":6,"57":2,"80":4,"82":5,"83":3,"89":5,"90":3,"91":1,"92":1,"93":6,"95":1,"112":1}}],["library",{"2":{"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"128":1,"134":1,"142":1,"144":1}}],["list",{"2":{"34":8,"155":10}}],["litedoc",{"2":{"34":2,"37":1}}],["`np",{"2":{"127":1}}],["`none`",{"2":{"56":1,"93":1}}],["``x2",{"2":{"123":1}}],["``x1",{"2":{"123":1}}],["``i",{"2":{"123":1}}],["```",{"2":{"37":1}}],["```python",{"2":{"37":1}}],["`str`",{"2":{"116":1,"117":1}}],["`plane3`",{"2":{"79":1,"80":1,"81":1,"82":1,"84":1,"85":1,"87":1,"93":1,"94":1}}],["`point3`",{"2":{"36":1,"41":1,"44":1,"45":1,"46":1,"47":1,"52":1,"55":2,"56":1,"81":1,"83":1,"84":1,"87":1,"88":3,"90":1,"93":1,"99":1,"102":2,"103":1,"104":1,"107":2,"133":2,"135":2,"138":2,"139":2}}],["`onesinglevarfunc`",{"2":{"48":3}}],["`onevarfunc`",{"2":{"32":3}}],["`realnumber`",{"2":{"47":1,"111":1}}],["`tuple`",{"2":{"48":1}}],["`typeerror`",{"2":{"44":1,"80":1,"81":1,"93":1}}],["`threesinglevarsfunc`",{"2":{"36":1}}],["`anyangle`",{"2":{"43":1,"80":1,"122":1}}],["`bool`",{"2":{"42":1,"49":1,"50":1,"51":1,"52":1,"53":1,"57":1,"79":1,"85":1,"94":1,"99":1,"103":1,"115":1,"116":1,"117":1,"121":1,"124":1,"125":1,"134":1}}],["`float`",{"2":{"42":1,"44":1,"49":1,"78":4,"81":1,"98":3,"99":1,"109":4,"115":3,"116":1,"117":1,"120":3,"121":1,"124":1,"128":1,"142":1,"144":1}}],["`line3`",{"2":{"42":1,"43":1,"44":1,"45":1,"46":1,"49":1,"50":1,"51":1,"53":1,"55":1,"56":2,"57":1,"80":1,"82":1,"83":1,"89":2,"90":1,"93":2}}],["`valueerror`",{"2":{"45":2,"82":1,"83":1}}],["`var`",{"2":{"37":1}}],["`vector3`",{"2":{"41":1,"86":1,"87":1,"102":1,"104":2,"121":1,"122":1,"123":2,"124":1,"125":1,"129":1,"133":2,"134":1,"138":2,"142":2,"144":1,"146":1}}],["`multivarsfunc`",{"2":{"34":1,"37":1}}],["无效变量类型",{"2":{"34":2}}],["偏导函数",{"2":{"34":2}}],["偏移量",{"2":{"34":2,"36":2}}],["高阶偏导数值",{"2":{"34":1}}],["高阶偏导",{"2":{"34":2}}],["可愛くてごめん",{"2":{"157":1}}],["可直接从mbcp",{"2":{"38":1}}],["可参考",{"2":{"37":1}}],["可参考函数式编程",{"2":{"37":1}}],["可为整数",{"2":{"34":2}}],["可导入",{"2":{"0":1}}],["因此该函数的稳定性有待提升",{"2":{"34":2}}],["目前数学界对于一个函数的导函数并没有通解的说法",{"2":{"34":2}}],["目标点",{"2":{"33":2}}],["慎用",{"2":{"34":2}}],["num",{"2":{"155":5}}],["numpy",{"2":{"127":2}}],["numpy数组",{"2":{"127":2}}],["number=epsilon",{"2":{"34":1}}],["number",{"0":{"34":1,"60":1},"2":{"62":1}}],["ndarray`",{"2":{"127":1}}],["ndarray",{"0":{"127":1},"2":{"127":3}}],["neg",{"0":{"116":1,"117":1},"2":{"116":4,"117":4,"146":1}}],["negative",{"0":{"9":1},"2":{"9":1}}],["ne",{"0":{"114":1},"2":{"114":1}}],["np",{"0":{"127":2},"2":{"82":9,"127":4,"155":9}}],["no",{"2":{"82":1}}],["normal",{"0":{"86":1,"87":2},"2":{"80":5,"82":4,"83":1,"84":2,"85":2,"86":1,"87":7,"88":3,"89":1,"90":1,"93":3}}],["normalize",{"0":{"126":1},"2":{"54":1,"126":1}}],["none",{"0":{"56":1,"91":1,"92":1},"2":{"56":4,"91":1,"92":1,"93":4}}],["not",{"2":{"44":1,"45":4,"56":1,"114":1,"116":1,"117":1}}],["nabla",{"2":{"36":1}}],["n元函数",{"2":{"34":2}}],["参数方程",{"2":{"48":2}}],["参数t",{"2":{"47":2}}],["参数",{"2":{"33":2,"34":1,"37":2}}],["|",{"0":{"33":1,"34":1,"44":1,"56":2,"80":1,"81":1,"91":1,"92":1,"142":2},"2":{"33":1,"34":1,"44":3,"56":6,"59":1,"60":1,"63":1,"66":1,"69":1,"72":1,"75":1,"80":3,"81":3,"91":1,"92":1,"93":6,"102":2,"133":4,"138":4,"142":4}}],["曲线方程",{"2":{"32":2,"38":1}}],["z轴单位向量",{"2":{"150":1}}],["z轴分量",{"2":{"120":2}}],["z2``",{"2":{"123":1}}],["z1``",{"2":{"123":1}}],["zero",{"0":{"147":1},"2":{"89":1,"125":1}}],["z系数",{"2":{"78":2}}],["zhihu",{"2":{"37":1}}],["zhuanlan",{"2":{"37":1}}],["z0",{"2":{"36":2}}],["zip",{"2":{"33":1}}],["z函数",{"2":{"32":2}}],["z",{"0":{"32":1,"98":1,"120":1,"150":1},"2":{"32":5,"33":4,"36":11,"48":2,"54":4,"81":1,"82":4,"83":4,"87":2,"98":7,"99":2,"102":2,"103":2,"104":2,"107":2,"112":2,"120":5,"121":2,"123":4,"126":1,"127":1,"128":1,"133":4,"134":2,"135":2,"138":4,"139":2,"142":3,"144":2,"145":1,"146":1,"155":2}}],["y轴单位向量",{"2":{"149":1}}],["y轴分量",{"2":{"120":2}}],["y2",{"2":{"123":1}}],["y1",{"2":{"123":1}}],["y系数",{"2":{"78":2}}],["y0",{"2":{"36":2}}],["y函数",{"2":{"32":2}}],["y",{"0":{"32":1,"98":1,"115":1,"120":1,"149":1},"2":{"32":5,"33":4,"36":11,"48":2,"54":4,"81":1,"82":4,"83":4,"87":2,"98":7,"99":2,"102":2,"103":2,"104":2,"107":2,"112":2,"115":4,"120":5,"121":2,"123":4,"126":1,"127":1,"128":1,"133":4,"134":2,"135":2,"138":4,"139":2,"142":3,"144":2,"145":1,"146":1,"155":2}}],["x轴单位向量",{"2":{"148":1}}],["x轴分量",{"2":{"120":2}}],["x3c",{"2":{"99":3,"112":1,"115":1,"116":1,"117":1,"121":3,"124":1}}],["x26",{"2":{"93":1}}],["x系数",{"2":{"78":2}}],["x0",{"2":{"36":2}}],["x函数",{"2":{"32":2}}],["x",{"0":{"32":1,"98":1,"109":1,"115":1,"116":1,"117":1,"120":1,"148":1},"2":{"32":5,"33":4,"36":11,"48":2,"54":2,"81":1,"82":4,"83":4,"87":2,"98":7,"99":2,"102":2,"103":2,"104":2,"107":2,"109":4,"112":2,"115":4,"116":5,"117":8,"120":5,"121":2,"123":4,"126":1,"127":1,"128":1,"133":4,"134":2,"135":2,"138":4,"139":2,"142":3,"144":2,"145":1,"146":1,"155":2}}],["约等于判定误差",{"2":{"29":1}}],["精度误差",{"2":{"28":1}}],["06",{"0":{"49":1},"2":{"49":1}}],["001",{"2":{"29":1}}],["0001",{"2":{"28":1}}],["0",{"0":{"115":2},"2":{"27":1,"28":1,"29":1,"33":3,"36":6,"44":2,"53":1,"54":8,"78":2,"79":3,"81":2,"82":9,"83":1,"93":1,"115":1,"116":2,"117":4,"147":3,"148":2,"149":2,"150":2,"155":2}}],["欧拉常数",{"2":{"27":1}}],["5772156649015329",{"2":{"27":1}}],["5",{"2":{"26":1,"81":1}}],["黄金分割比",{"2":{"26":1}}],["π",{"2":{"24":1}}],["to",{"2":{"159":1}}],["theta",{"2":{"155":3}}],["the",{"2":{"83":2,"159":1}}],["three",{"0":{"88":1},"2":{"88":1}}],["threevarsfunc",{"0":{"72":1}}],["threearraysfunc",{"0":{"71":1},"2":{"72":1}}],["threesinglevarsfunc",{"0":{"36":1,"70":1},"2":{"36":3,"72":1}}],["twovarsfunc",{"0":{"69":1}}],["twoarraysfunc",{"0":{"68":1},"2":{"69":1}}],["twosinglevarsfunc",{"0":{"67":1},"2":{"69":1}}],["two",{"0":{"55":1,"89":1},"2":{"55":1,"89":1}}],["tip",{"2":{"36":2,"37":2}}],["typevar",{"2":{"61":1,"62":1}}],["typealias",{"2":{"59":1,"60":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1}}],["typeerror",{"2":{"44":3,"45":1,"80":3,"81":3,"93":3,"113":1,"133":1,"138":1,"139":1,"142":1}}],["type",{"0":{"113":1},"2":{"34":1,"44":1,"59":1,"60":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"80":2,"81":2,"93":2,"112":2,"113":4,"133":2,"138":2,"139":2,"142":2,"147":1,"148":1,"149":1,"150":1}}],["typing",{"0":{"58":1},"1":{"59":1,"60":1,"61":1,"62":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1},"2":{"32":3,"34":1,"36":1,"37":2,"47":1,"48":1,"111":1}}],["tuple",{"0":{"33":1,"34":1,"48":1},"2":{"33":2,"34":2,"48":3}}],["t",{"0":{"33":1,"47":1},"2":{"33":10,"47":4,"48":6,"83":4}}],["truediv",{"2":{"20":1,"21":1,"22":1,"145":1}}],["tan",{"0":{"12":1},"2":{"12":2,"13":1}}],["ep",{"2":{"157":1}}],["epsilon",{"0":{"28":1,"34":2,"36":2,"42":1,"49":1,"99":1,"115":1,"121":1,"124":1},"2":{"34":7,"36":12,"42":5,"49":4,"99":6,"115":4,"121":6,"124":4}}],["error",{"0":{"113":1},"2":{"112":2,"113":1}}],["exceptions",{"2":{"44":1,"45":1,"80":1,"81":1,"82":1,"83":1,"93":1}}],["examples",{"2":{"37":2}}],["exp",{"2":{"25":1}}],["elif",{"2":{"34":1,"44":3,"56":1,"79":2,"80":1,"81":1,"82":2,"93":1,"112":1,"116":1,"117":1,"133":1,"138":1,"142":1}}],["else",{"2":{"4":1,"33":1,"34":1,"44":2,"56":1,"79":1,"80":1,"81":1,"93":1,"112":2,"116":2,"117":2,"133":1,"138":1,"139":1,"142":1}}],["e",{"0":{"25":1},"2":{"25":1}}],["equations",{"0":{"48":1},"2":{"48":1,"83":1}}],["equation",{"0":{"30":1},"1":{"31":1,"32":1,"33":1,"34":1}}],["eq",{"0":{"17":1,"57":1,"94":1,"103":1,"112":1,"134":1},"2":{"17":1,"57":1,"94":1,"103":1,"112":1,"114":1,"134":1}}],["+1",{"2":{"117":2}}],["+=",{"2":{"34":1}}],["+",{"0":{"16":1,"100":1,"101":1,"102":1,"131":1,"132":1,"133":1,"135":1},"2":{"16":1,"26":1,"36":3,"37":4,"45":1,"47":1,"48":3,"78":6,"81":5,"83":5,"102":7,"107":3,"116":3,"117":3,"128":2,"133":11,"135":5,"144":2,"155":1}}],["1e",{"0":{"49":1}}],["1",{"2":{"13":1,"14":1,"15":1,"25":1,"26":1,"33":1,"37":2,"89":1,"117":6,"148":1,"149":1,"150":1,"155":4}}],["180",{"2":{"4":1,"7":1}}],["正割值",{"2":{"14":4}}],["正切值",{"2":{"12":4}}],["正弦值",{"2":{"10":4}}],["余割值",{"2":{"15":4}}],["余切值",{"2":{"13":4}}],["余弦值",{"2":{"11":4}}],["余角",{"2":{"5":4}}],["最大值",{"2":{"109":2}}],["最大负角度",{"2":{"9":2}}],["最大负角",{"2":{"9":2}}],["最小值",{"2":{"109":2}}],["最小正角度",{"2":{"8":2}}],["最小正角",{"2":{"8":2}}],["弧度",{"2":{"7":2}}],["角度",{"2":{"7":2}}],["角度或弧度值",{"2":{"4":2}}],["补角",{"2":{"6":4}}],["255万个粒子",{"2":{"157":1}}],["2",{"2":{"5":1,"8":1,"9":1,"26":1,"34":1,"36":3,"37":2,"45":1,"81":3,"107":3,"128":3,"155":2}}],[">",{"2":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"18":1,"19":1,"20":1,"21":1,"33":1,"34":5,"36":3,"37":6,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"94":1,"95":1,"99":1,"100":1,"101":1,"102":2,"104":3,"109":1,"115":1,"116":2,"117":5,"121":1,"122":1,"123":2,"124":1,"125":1,"127":1,"128":1,"129":1,"131":1,"132":1,"133":2,"135":2,"136":1,"137":1,"138":2,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1}}],["rmul",{"2":{"143":1}}],["rsub",{"2":{"139":1}}],["right",{"2":{"36":1}}],["reference",{"0":{"159":1},"2":{"127":1}}],["realnumber",{"0":{"47":1,"59":1,"111":1,"141":1,"143":1,"144":1,"145":1},"2":{"47":3,"60":1,"111":3,"141":1,"143":1,"144":1,"145":1}}],["result",{"2":{"34":4}}],["returns",{"2":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"33":1,"34":2,"36":1,"37":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"93":1,"94":1,"99":1,"102":1,"103":1,"104":1,"109":1,"115":1,"116":1,"117":1,"121":1,"122":1,"123":1,"124":1,"125":1,"127":1,"128":1,"129":1,"133":1,"134":1,"135":1,"138":1,"139":1,"142":1,"144":1,"146":1,"155":1}}],["return",{"2":{"5":2,"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":2,"16":1,"17":1,"18":1,"19":1,"22":2,"33":3,"34":5,"36":2,"37":5,"42":2,"43":2,"44":6,"45":2,"46":2,"47":2,"48":2,"49":2,"50":2,"51":2,"52":2,"53":2,"55":2,"56":4,"57":2,"79":5,"80":3,"81":3,"82":2,"83":2,"84":2,"85":2,"86":2,"87":2,"88":2,"89":2,"90":2,"93":5,"94":2,"95":1,"99":2,"102":2,"103":2,"104":2,"109":2,"112":2,"114":1,"115":2,"116":4,"117":4,"121":2,"122":2,"123":2,"124":2,"125":2,"127":2,"128":2,"129":2,"130":1,"133":3,"134":2,"135":2,"138":3,"139":2,"142":3,"143":1,"144":2,"145":1,"146":2,"155":2}}],["range",{"2":{"155":2}}],["rand",{"0":{"95":1},"2":{"95":1}}],["radius",{"0":{"155":1},"2":{"155":7}}],["radian=true",{"2":{"5":1,"6":1,"9":1,"16":1,"18":1,"19":1,"22":1,"80":1,"122":1}}],["radian",{"0":{"4":1},"2":{"4":6,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":2,"17":2,"18":2,"19":1,"22":3}}],["radd",{"2":{"135":1}}],["raise",{"0":{"113":1},"2":{"34":1,"44":1,"45":2,"80":1,"81":1,"82":1,"83":1,"93":1,"112":2,"113":2,"133":1,"138":1,"139":1,"142":1}}],["raises",{"2":{"34":2,"44":2,"45":2,"80":2,"81":2,"82":2,"83":2,"93":2}}],["ratio",{"0":{"26":1}}],["geometricmodels",{"0":{"154":1},"1":{"155":1}}],["generated",{"2":{"127":1}}],["get",{"0":{"34":1,"47":1,"48":1},"2":{"34":2,"47":1,"48":1,"83":1,"89":1}}],["gradient",{"0":{"36":1},"2":{"36":1}}],["gamma",{"0":{"27":1}}],["golden",{"0":{"26":1}}],["gt",{"0":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"18":1,"19":1,"20":1,"21":1,"33":1,"34":1,"36":1,"37":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"94":1,"95":1,"99":1,"100":1,"101":1,"104":1,"109":1,"115":1,"116":1,"117":1,"121":1,"122":1,"123":1,"124":1,"125":1,"127":1,"128":1,"129":1,"131":1,"132":1,"135":1,"136":1,"137":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1},"2":{"102":2,"104":2,"117":3,"123":1,"133":2,"135":1,"138":2,"139":1}}],["github",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["operand",{"2":{"93":1,"133":1,"138":1,"139":1,"142":1}}],["overload",{"2":{"19":1,"20":2,"21":1,"90":1,"91":2,"92":1,"99":1,"100":2,"101":1,"130":1,"131":2,"132":1,"135":1,"136":2,"137":1,"139":1,"140":2,"141":1}}],["other",{"0":{"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"42":1,"43":1,"44":1,"45":1,"49":1,"50":1,"51":1,"53":1,"56":1,"57":1,"79":1,"80":1,"81":1,"82":1,"83":1,"85":1,"91":1,"92":1,"93":1,"94":1,"95":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"112":1,"113":1,"114":1,"121":1,"122":1,"123":1,"124":1,"125":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1},"2":{"16":2,"17":2,"18":2,"19":2,"20":1,"21":1,"22":4,"42":5,"43":4,"44":13,"45":9,"49":4,"50":4,"51":5,"53":5,"56":7,"57":5,"79":15,"80":9,"81":9,"82":17,"83":11,"85":4,"91":1,"92":1,"93":10,"94":4,"95":2,"99":6,"100":1,"101":1,"102":6,"103":6,"104":6,"112":9,"113":2,"114":2,"121":6,"122":5,"123":9,"124":4,"125":4,"131":1,"132":1,"133":12,"134":6,"135":6,"136":1,"137":1,"138":12,"139":8,"140":1,"141":1,"142":12,"143":2,"144":6,"145":4}}],["only",{"0":{"116":1,"117":1},"2":{"116":4,"117":4}}],["one",{"2":{"157":1}}],["onearrayfunc",{"0":{"65":1},"2":{"66":1}}],["onesinglevarfunc",{"0":{"48":3,"64":1},"2":{"48":7,"66":1}}],["onevarfunc",{"0":{"32":3,"37":1,"66":1},"2":{"32":9,"37":1}}],["on",{"0":{"52":1},"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":2,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["org",{"2":{"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"93":2,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"127":1,"128":1,"134":1,"142":1,"144":1}}],["order",{"2":{"34":2}}],["or",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":2,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":2,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["v3",{"2":{"123":2}}],["v2",{"2":{"57":2,"88":2,"89":4,"123":2}}],["v1",{"2":{"57":4,"88":2,"89":2,"123":2}}],["vector",{"0":{"118":1},"1":{"119":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"149":1,"150":1},"2":{"41":1,"86":1,"87":1,"102":1,"104":3,"142":1}}],["vector3",{"0":{"36":1,"41":1,"86":1,"87":1,"100":1,"104":1,"119":1,"121":1,"122":1,"123":2,"124":1,"125":1,"129":1,"131":2,"136":2,"140":2,"141":1,"142":2,"143":1,"144":1,"145":1,"146":1,"147":1},"1":{"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1},"2":{"36":2,"38":1,"41":3,"86":4,"87":3,"89":1,"100":1,"102":2,"104":7,"112":2,"121":3,"122":3,"123":7,"124":3,"125":4,"129":3,"131":2,"133":7,"134":2,"136":2,"138":7,"139":1,"140":2,"141":1,"142":9,"143":1,"144":3,"145":2,"146":4,"147":2,"148":2,"149":2,"150":2}}],["v",{"2":{"34":2,"102":2,"104":4,"133":8,"135":2,"138":8,"139":2}}],["var",{"0":{"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"33":1,"34":1,"37":1,"59":1,"60":1,"61":1,"62":1,"63":2,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"147":1,"148":1,"149":1,"150":1},"2":{"32":3,"33":1,"34":14,"36":1,"37":7,"47":1,"48":1}}],["valueerror",{"2":{"34":3,"45":4,"82":3,"83":3}}],["value",{"0":{"4":1,"111":1},"2":{"4":5,"111":5,"112":6,"113":1}}],["view",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["can",{"2":{"157":1}}],["cal",{"0":{"36":1,"43":1,"44":1,"45":1,"46":1,"80":1,"81":1,"82":1,"83":1,"84":1,"122":1},"2":{"36":1,"43":2,"44":1,"45":1,"46":1,"56":1,"80":2,"81":1,"82":1,"83":1,"84":1,"93":2,"95":1,"122":1}}],["callable",{"2":{"64":1,"65":1,"67":1,"68":1,"70":1,"71":1,"73":1,"74":1}}],["call",{"0":{"33":1},"2":{"33":1}}],["cz",{"2":{"78":2}}],["clamp",{"0":{"109":1},"2":{"109":1,"155":1}}],["classmethod",{"2":{"54":1,"55":1,"86":1,"87":2,"88":2,"89":2,"90":1}}],["class",{"0":{"2":1,"3":1,"31":1,"40":1,"77":1,"97":1,"106":1,"110":1,"119":1,"154":1},"1":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"111":1,"112":1,"113":1,"114":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1},"2":{"36":1,"41":2,"42":1,"43":2,"44":2,"45":2,"46":2,"47":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":3,"56":3,"57":1,"79":1,"80":3,"81":2,"82":2,"83":2,"84":2,"85":1,"86":1,"87":3,"88":1,"89":1,"90":2,"93":4,"94":1,"99":1,"102":3,"103":1,"104":3,"107":2,"121":1,"122":2,"123":2,"124":1,"125":1,"129":1,"133":4,"134":1,"135":2,"138":4,"139":2,"142":2,"144":1,"146":1}}],["cls",{"0":{"55":1,"87":1,"88":1,"89":1,"90":1},"2":{"55":2,"87":2,"88":2,"89":2,"90":2}}],["cross",{"0":{"123":1},"2":{"44":4,"45":3,"46":1,"53":1,"82":1,"88":1,"89":1,"123":3,"124":1,"125":1}}],["c",{"0":{"78":1},"2":{"37":4,"78":5,"79":7,"81":2,"82":6,"83":2,"86":1,"87":3}}],["curried",{"2":{"37":6}}],["currying",{"2":{"37":2}}],["curry",{"0":{"37":1},"2":{"37":3}}],["curveequation",{"0":{"31":1},"1":{"32":1,"33":1},"2":{"38":1}}],["csc",{"0":{"15":1},"2":{"15":1}}],["coincident",{"2":{"83":1}}],["collinear",{"0":{"51":1},"2":{"51":1,"56":1}}],["coplanar",{"0":{"53":1},"2":{"44":1,"45":2,"53":1,"56":1}}],["complex",{"2":{"60":1}}],["complementary",{"0":{"5":1},"2":{"5":1,"80":1}}],["com",{"2":{"37":1}}],["constants",{"2":{"56":1,"93":1}}],["const",{"0":{"23":1},"1":{"24":1,"25":1,"26":1,"27":1,"28":1,"29":1}}],["cot",{"0":{"13":1},"2":{"13":1}}],["cos",{"0":{"11":1},"2":{"11":2,"14":1,"155":2}}],["code",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["sphere",{"0":{"155":1},"2":{"155":1}}],["stop",{"2":{"157":1}}],["staticmethod",{"2":{"154":1,"155":1}}],["stable",{"2":{"127":1}}],["str",{"0":{"116":1,"117":1},"2":{"116":3,"117":3}}],["stdtypes",{"2":{"48":1}}],["s",{"2":{"93":1,"133":1,"138":1,"139":1,"142":1}}],["solve",{"2":{"82":3}}],["source",{"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["sign",{"0":{"116":1,"117":1},"2":{"116":1,"117":1}}],["simplify",{"0":{"54":1},"2":{"54":1}}],["singlevar",{"0":{"61":1},"2":{"61":1,"63":1,"64":2,"67":3,"70":4,"73":1}}],["sin",{"0":{"10":1},"2":{"10":2,"15":1,"155":3}}],["sqrt",{"2":{"26":1,"128":1,"155":1}}],["sub",{"2":{"18":1,"104":1,"136":1,"137":1,"138":1}}],["supplementary",{"0":{"6":1},"2":{"6":1}}],["segment",{"0":{"105":1},"1":{"106":1,"107":1}}],["segment3",{"0":{"106":1},"1":{"107":1},"2":{"38":1}}],["sec",{"0":{"14":1},"2":{"14":1}}],["self",{"0":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"111":1,"112":1,"113":1,"114":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1},"2":{"4":3,"5":2,"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":2,"16":2,"17":2,"18":2,"19":2,"20":1,"21":1,"22":3,"32":4,"33":7,"41":3,"42":4,"43":2,"44":13,"45":8,"46":3,"47":3,"48":7,"49":2,"50":2,"51":4,"52":3,"53":3,"54":8,"56":6,"57":4,"78":5,"79":16,"80":4,"81":8,"82":15,"83":9,"84":2,"85":2,"86":4,"91":1,"92":1,"93":5,"94":2,"95":2,"98":4,"99":4,"100":1,"101":1,"102":4,"103":4,"104":4,"107":15,"111":2,"112":9,"113":2,"114":2,"120":4,"121":4,"122":3,"123":7,"124":2,"125":2,"126":5,"127":4,"128":4,"129":3,"130":2,"131":1,"132":1,"133":7,"134":4,"135":4,"136":1,"137":1,"138":7,"139":4,"140":1,"141":1,"142":7,"143":2,"144":4,"145":4,"146":4}}],["默认为否",{"2":{"4":2}}],["all",{"2":{"99":1,"112":1,"121":1}}],["acos",{"2":{"80":1,"122":1}}],["axis",{"0":{"148":1,"149":1,"150":1}}],["ax",{"2":{"78":2}}],["arccos",{"2":{"155":1}}],["array",{"0":{"127":1},"2":{"82":6,"127":2,"155":6}}],["arrayvar",{"0":{"62":1},"2":{"62":1,"63":1,"65":2,"68":3,"71":4,"74":1}}],["area",{"2":{"155":2}}],["are",{"2":{"45":2,"82":1,"83":1}}],["args2",{"2":{"37":2}}],["args",{"0":{"37":1},"2":{"4":1,"32":1,"33":1,"34":14,"36":1,"37":5,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"87":1,"88":1,"89":1,"90":1,"93":1,"94":1,"98":1,"99":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"133":1,"134":1,"135":1,"138":1,"139":1,"142":1,"144":1,"155":1}}],["arguments",{"2":{"4":1,"32":1,"33":1,"34":1,"36":1,"37":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"49":1,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"87":1,"88":1,"89":1,"90":1,"93":1,"94":1,"98":1,"99":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"133":1,"134":1,"135":1,"138":1,"139":1,"142":1,"144":1,"155":1}}],["abs",{"0":{"130":1},"2":{"44":1,"81":1,"99":3,"112":1,"115":1,"117":1,"121":3,"130":1}}],["a",{"0":{"78":1},"2":{"37":4,"78":5,"79":7,"81":2,"82":12,"83":2,"86":1,"87":3}}],["aaa",{"2":{"35":1}}],["approx",{"0":{"29":1,"42":2,"49":1,"79":1,"99":2,"110":1,"115":2,"121":2,"124":2},"1":{"111":1,"112":1,"113":1,"114":1},"2":{"17":1,"42":3,"49":2,"79":10,"94":1,"99":1,"103":3,"112":4,"115":1,"121":1,"124":1,"125":1,"134":3}}],["add",{"2":{"16":1,"37":8,"100":1,"101":1,"102":1,"131":1,"132":1,"133":1}}],["and",{"0":{"56":1,"87":1,"90":1,"91":1,"92":1,"93":1},"2":{"42":1,"45":2,"51":1,"56":1,"57":1,"79":6,"82":4,"83":1,"84":1,"87":1,"88":1,"89":1,"90":2,"91":1,"92":1,"93":2,"103":2,"113":1,"133":1,"134":2,"138":1,"139":1,"142":1}}],["anyangle",{"0":{"3":1,"5":1,"6":1,"8":1,"9":1,"16":2,"18":2,"19":1,"20":1,"21":1,"43":1,"80":1,"122":1},"1":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1},"2":{"5":2,"6":2,"8":2,"9":2,"16":3,"18":3,"19":2,"20":1,"21":1,"22":2,"38":1,"43":3,"80":4,"122":4}}],["angle",{"0":{"1":1,"2":1,"3":1,"43":1,"80":1,"122":1},"1":{"2":1,"3":1,"4":2,"5":2,"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":2,"16":2,"17":2,"18":2,"19":2,"20":2,"21":2,"22":2},"2":{"43":3,"80":3,"122":2}}],["任意角度",{"2":{"4":2,"38":1}}],["from",{"0":{"55":1,"87":1,"88":1,"89":1,"90":1},"2":{"55":1,"84":1,"87":1,"88":2,"89":2,"90":2,"104":1,"157":1}}],["frac",{"2":{"36":3}}],["f",{"2":{"36":4,"80":1,"81":1,"93":1,"113":1,"117":3,"133":1,"138":1,"139":1,"142":1}}],["format",{"0":{"117":1},"2":{"117":1}}],["for",{"2":{"33":1,"34":1,"93":1,"133":1,"138":1,"139":1,"142":1,"155":2}}],["functions",{"2":{"42":2,"44":1,"49":2,"50":1,"51":1,"52":1,"53":1,"57":1,"78":1,"79":1,"81":1,"85":1,"94":1,"98":1,"99":2,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"128":1,"134":1,"142":1,"144":1}}],["function",{"0":{"35":1},"1":{"36":1,"37":1}}],["func",{"0":{"32":3,"34":3,"36":2,"37":2,"109":1,"115":1,"116":1,"117":1},"2":{"32":15,"33":6,"34":16,"36":9,"37":6}}],["false",{"0":{"4":1,"116":1,"117":1},"2":{"79":1}}],["float=0",{"2":{"115":1}}],["float=1e",{"2":{"49":1}}],["float=approx",{"2":{"42":1,"99":1,"115":1,"121":1,"124":1}}],["float=epsilon",{"2":{"36":1}}],["float",{"0":{"4":1,"7":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"19":1,"20":1,"21":1,"36":1,"42":1,"44":1,"49":1,"78":4,"81":1,"98":3,"99":1,"109":4,"115":3,"116":1,"117":1,"120":3,"121":1,"124":1,"128":1,"142":1,"155":2},"2":{"4":1,"7":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"19":1,"20":1,"21":1,"42":2,"44":3,"49":2,"59":1,"78":9,"81":3,"98":7,"99":2,"109":9,"112":2,"115":5,"116":3,"117":3,"120":7,"121":2,"124":2,"128":3,"142":4,"144":2,"155":2}}],["==",{"2":{"33":1,"44":1,"53":1,"54":3,"83":1,"89":1,"93":1}}],["=",{"0":{"4":1,"16":1,"18":1,"19":1,"20":1,"21":1,"34":1,"36":1,"42":1,"49":1,"99":1,"100":1,"101":1,"104":1,"115":2,"116":1,"117":1,"121":1,"124":1,"131":1,"132":1,"135":1,"136":1,"137":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1},"2":{"4":2,"32":3,"34":5,"36":5,"37":2,"41":2,"54":3,"55":1,"78":6,"79":6,"82":17,"83":2,"87":2,"88":3,"89":3,"98":3,"107":5,"111":1,"120":3,"126":4,"155":7}}],["improve",{"2":{"159":1}}],["import",{"2":{"104":1}}],["i",{"2":{"155":4,"157":1}}],["invalid",{"2":{"34":1}}],["intersect",{"2":{"45":2}}],["intersection",{"0":{"45":1,"82":1,"83":1},"2":{"45":1,"56":1,"82":2,"83":1,"93":2,"95":1}}],["int",{"0":{"34":2,"142":1},"2":{"34":3,"37":8,"59":1,"112":2,"142":2,"155":1}}],["in",{"2":{"33":1,"34":1,"155":2}}],["init",{"0":{"4":1,"32":1,"41":1,"78":1,"98":1,"107":1,"111":1,"120":1},"2":{"4":1,"32":1,"41":1,"78":1,"98":1,"107":1,"111":1,"120":1}}],["if",{"2":{"4":1,"22":1,"33":1,"34":1,"44":2,"45":2,"54":3,"56":1,"79":1,"80":1,"81":1,"82":2,"83":1,"89":1,"93":3,"112":3,"116":2,"117":2,"133":1,"138":1,"139":1,"142":1,"157":1}}],["isinstance",{"2":{"22":1,"34":2,"44":2,"80":2,"81":2,"93":2,"112":4,"133":2,"138":2,"139":1,"142":2}}],["is",{"0":{"4":1,"49":1,"50":1,"51":1,"52":1,"53":1,"85":1,"124":1,"125":1},"2":{"4":4,"5":1,"6":1,"9":1,"16":1,"18":1,"19":1,"22":1,"42":2,"44":2,"45":2,"49":2,"50":2,"51":3,"52":2,"53":1,"56":3,"57":2,"80":1,"82":1,"85":2,"93":1,"122":1,"124":1,"125":1}}],["预设",{"2":{"0":1}}],["phi",{"2":{"155":5}}],["p3",{"0":{"88":1},"2":{"88":4}}],["p2",{"0":{"55":1,"88":1,"107":1},"2":{"55":4,"57":2,"88":4,"107":9}}],["p1",{"0":{"55":1,"88":1,"107":1},"2":{"55":5,"57":2,"88":6,"107":9}}],["perpendicular",{"0":{"46":1},"2":{"46":1}}],["parametric",{"0":{"48":1},"2":{"48":1,"83":1}}],["parallel",{"0":{"49":1,"50":1,"84":1,"85":1,"124":1,"125":1},"2":{"42":2,"44":1,"45":2,"49":2,"50":2,"51":2,"52":1,"56":1,"57":2,"82":2,"83":1,"84":1,"85":2,"93":1,"124":1,"125":1}}],["partial",{"0":{"34":1},"2":{"34":6,"36":6}}],["particle",{"0":{"151":1},"2":{"0":1}}],["planes",{"2":{"82":1}}],["plane",{"0":{"76":1},"1":{"77":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1},"2":{"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"87":1,"93":1,"94":1}}],["plane3",{"0":{"77":1,"79":1,"80":1,"81":1,"82":1,"84":2,"85":1,"87":1,"88":1,"89":1,"90":1,"92":1},"1":{"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1},"2":{"38":1,"79":3,"80":4,"81":4,"82":3,"84":5,"85":3,"87":3,"88":1,"89":1,"90":1,"92":1,"93":4,"94":2,"112":1}}],["plus",{"2":{"34":3}}],["p",{"0":{"36":1},"2":{"36":21,"37":1,"102":10,"104":8,"133":4,"135":4,"138":4,"139":4}}],["points",{"0":{"55":1,"88":1},"2":{"55":1,"88":1}}],["point",{"0":{"41":1,"46":1,"47":1,"52":2,"84":1,"87":2,"90":2,"96":1},"1":{"97":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1},"2":{"36":1,"41":6,"42":2,"44":6,"45":4,"46":7,"47":3,"48":3,"51":2,"52":7,"53":2,"54":3,"55":2,"56":1,"57":2,"81":1,"83":4,"84":6,"87":8,"88":2,"89":6,"90":7,"93":1,"99":1,"102":2,"103":1,"104":1,"107":2,"133":2,"135":2,"138":2,"139":2}}],["point3",{"0":{"33":2,"36":1,"41":1,"44":1,"45":1,"46":1,"47":1,"52":1,"55":2,"56":1,"81":1,"83":2,"84":1,"87":1,"88":3,"90":1,"91":1,"95":1,"97":1,"99":1,"100":1,"101":2,"104":1,"107":2,"132":2,"135":2,"137":2,"139":1},"1":{"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1},"2":{"33":4,"36":3,"38":1,"41":3,"44":4,"45":3,"46":3,"47":3,"52":3,"55":6,"56":3,"81":4,"82":1,"83":5,"84":3,"87":3,"88":7,"90":3,"91":1,"93":3,"95":2,"99":3,"100":1,"101":2,"102":5,"103":2,"104":3,"107":7,"112":1,"132":2,"133":6,"135":7,"137":2,"138":6,"139":7,"155":3}}],["positive",{"0":{"8":1},"2":{"5":1,"6":1,"8":1}}],["python",{"2":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"20":1,"21":1,"42":2,"44":2,"45":1,"48":1,"49":2,"50":1,"51":1,"52":1,"53":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":2,"82":1,"83":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":2,"94":1,"98":1,"99":2,"100":1,"101":1,"103":1,"109":1,"115":2,"116":3,"117":3,"120":1,"121":2,"124":2,"125":1,"127":1,"128":2,"129":1,"131":1,"132":1,"134":1,"136":1,"137":1,"140":1,"141":1,"142":1,"144":1,"155":1}}],["pythondef",{"2":{"4":1,"16":1,"17":1,"18":1,"19":1,"22":1,"32":1,"33":1,"34":1,"36":1,"37":2,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"93":1,"94":1,"95":1,"98":1,"99":1,"102":1,"103":1,"104":1,"107":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"130":1,"133":1,"134":1,"135":1,"138":1,"139":1,"142":1,"143":1,"144":1,"145":1,"146":1}}],["practice",{"0":{"156":1},"1":{"157":1}}],["property",{"2":{"4":1,"5":2,"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":1,"85":1,"86":1,"126":1,"127":2,"128":2,"129":1}}],["presets",{"0":{"152":1,"153":1},"1":{"154":1,"155":1},"2":{"0":1}}],["pi",{"0":{"24":1},"2":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"24":1,"155":2}}],["粒子生成工具",{"2":{"0":1}}],["提供了一些工具",{"2":{"0":1}}],["mc特效红石音乐",{"2":{"157":1}}],["model",{"0":{"153":1},"1":{"154":1,"155":1}}],["module",{"0":{"0":1,"1":1,"23":1,"30":1,"35":1,"38":1,"39":1,"58":1,"76":1,"96":1,"105":1,"108":1,"118":1,"151":1,"152":1,"153":1},"1":{"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"31":1,"32":1,"33":1,"34":1,"36":1,"37":1,"40":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"59":1,"60":1,"61":1,"62":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"77":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"97":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"106":1,"107":1,"109":1,"110":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"119":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"149":1,"150":1,"154":1,"155":1}}],["midpoint",{"2":{"107":1}}],["minecraft",{"2":{"157":1}}],["min",{"0":{"109":1},"2":{"109":5}}],["minus",{"2":{"34":3}}],["minimum",{"0":{"8":1},"2":{"5":1,"6":1,"8":1}}],["multiarraysfunc",{"0":{"74":1},"2":{"75":1}}],["multisinglevarsfunc",{"0":{"73":1},"2":{"75":1}}],["multivarsfunc",{"0":{"34":2,"37":1,"75":1},"2":{"34":4,"37":3}}],["mul",{"2":{"19":1,"140":1,"141":1,"142":1,"143":1}}],["matmul",{"2":{"144":1}}],["math导入使用",{"2":{"38":1}}],["math",{"0":{"1":1,"23":1,"30":1,"35":1,"38":1,"39":1,"58":2,"76":1,"96":1,"105":1,"108":1,"118":1},"1":{"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"31":1,"32":1,"33":1,"34":1,"36":1,"37":1,"40":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"59":2,"60":2,"61":2,"62":2,"63":2,"64":2,"65":2,"66":2,"67":2,"68":2,"69":2,"70":2,"71":2,"72":2,"73":2,"74":2,"75":2,"77":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"97":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"106":1,"107":1,"109":1,"110":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"119":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"149":1,"150":1},"2":{"0":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"24":1,"25":1,"26":1,"32":3,"34":1,"36":1,"37":2,"47":1,"48":1,"80":1,"111":1,"122":1,"128":1}}],["max",{"0":{"109":1},"2":{"109":5}}],["maximum",{"0":{"9":1},"2":{"9":1}}],["method",{"0":{"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"32":1,"33":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"107":1,"111":1,"112":1,"113":1,"114":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"155":1}}],["mp",{"0":{"1":1,"23":1,"30":1,"35":1,"38":1,"39":1,"58":2,"76":1,"96":1,"105":1,"108":1,"118":1},"1":{"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"31":1,"32":1,"33":1,"34":1,"36":1,"37":1,"40":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"59":2,"60":2,"61":2,"62":2,"63":2,"64":2,"65":2,"66":2,"67":2,"68":2,"69":2,"70":2,"71":2,"72":2,"73":2,"74":2,"75":2,"77":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"97":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"106":1,"107":1,"109":1,"110":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"119":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"149":1,"150":1},"2":{"0":1,"32":3,"34":1,"36":1,"37":2,"38":1,"47":1,"48":1,"111":1}}],["mbcp",{"0":{"0":1,"1":1,"23":1,"30":1,"35":1,"38":1,"39":1,"58":1,"76":1,"96":1,"105":1,"108":1,"118":1,"151":1,"152":1,"153":1},"1":{"2":1,"3":1,"4":1,"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"31":1,"32":1,"33":1,"34":1,"36":1,"37":1,"40":1,"41":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":1,"54":1,"55":1,"56":1,"57":1,"59":1,"60":1,"61":1,"62":1,"63":1,"64":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"77":1,"78":1,"79":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"97":1,"98":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"106":1,"107":1,"109":1,"110":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"119":1,"120":1,"121":1,"122":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"130":1,"131":1,"132":1,"133":1,"134":1,"135":1,"136":1,"137":1,"138":1,"139":1,"140":1,"141":1,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"149":1,"150":1,"154":1,"155":1},"2":{"0":3}}]],"serializationVersion":2}';export{t as default};