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

const t='{"documentCount":165,"nextId":165,"documentIds":{"0":"/en/api/api.html#mbcp","1":"/en/api/#mbcp","2":"/en/api/mp_math/angle.html#mbcp-mp-math-angle","3":"/en/api/mp_math/angle.html#class-angle","4":"/en/api/mp_math/angle.html#class-anyangle-angle","5":"/en/api/mp_math/angle.html#def-init-self-value-float-is-radian-bool-false","6":"/en/api/mp_math/angle.html#def-complementary-self-anyangle","7":"/en/api/mp_math/angle.html#def-supplementary-self-anyangle","8":"/en/api/mp_math/angle.html#def-degree-self-float","9":"/en/api/mp_math/angle.html#def-minimum-positive-self-anyangle","10":"/en/api/mp_math/angle.html#def-maximum-negative-self-anyangle","11":"/en/api/mp_math/angle.html#def-sin-self-float","12":"/en/api/mp_math/angle.html#def-cos-self-float","13":"/en/api/mp_math/angle.html#def-tan-self-float","14":"/en/api/mp_math/angle.html#def-cot-self-float","15":"/en/api/mp_math/angle.html#def-sec-self-float","16":"/en/api/mp_math/angle.html#def-csc-self-float","17":"/en/api/mp_math/angle.html#def-self-other-anyangle-anyangle","18":"/en/api/mp_math/angle.html#def-eq-self-other","19":"/en/api/mp_math/angle.html#def-self-other-anyangle-anyangle-1","20":"/en/api/mp_math/angle.html#def-self-other-float-anyangle","21":"/en/api/mp_math/angle.html#def-self-other-float-anyangle-1","22":"/en/api/mp_math/angle.html#def-self-other-anyangle-float","23":"/en/api/mp_math/angle.html#def-self-other","24":"/en/api/mp_math/const.html#mbcp-mp-math-const","25":"/en/api/mp_math/const.html#var-pi-math-pi","26":"/en/api/mp_math/const.html#var-e-math-e","27":"/en/api/mp_math/const.html#var-golden-ratio-1-math-sqrt-5-2","28":"/en/api/mp_math/const.html#var-gamma-0-5772156649015329","29":"/en/api/mp_math/const.html#var-epsilon-0-0001","30":"/en/api/mp_math/const.html#var-approx-0-001","31":"/en/api/mp_math/equation.html#mbcp-mp-math-equation","32":"/en/api/mp_math/equation.html#class-curveequation","33":"/en/api/mp_math/equation.html#def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc","34":"/en/api/mp_math/equation.html#def-call-self-t-var-point3-tuple-point3","35":"/en/api/mp_math/equation.html#def-get-partial-derivative-func-func-multivarsfunc-var-int-tuple-int-epsilon-number-epsilon-multivarsfunc","36":"/en/api/mp_math/function.html#mbcp-mp-math-function","37":"/en/api/mp_math/function.html#def-cal-gradient-3vf-func-threesinglevarsfunc-p-point3-epsilon-float-epsilon-vector3","38":"/en/api/mp_math/function.html#def-curry-func-multivarsfunc-args-var-onevarfunc","39":"/en/api/mp_math/#mbcp-mp-math","40":"/en/api/mp_math/line.html#mbcp-mp-math-line","41":"/en/api/mp_math/line.html#class-line3","42":"/en/api/mp_math/line.html#def-init-self-point-point3-direction-vector3","43":"/en/api/mp_math/line.html#def-approx-self-other-line3-epsilon-float-approx-bool","44":"/en/api/mp_math/line.html#def-cal-angle-self-other-line3-anyangle","45":"/en/api/mp_math/line.html#def-cal-distance-self-other-line3-point3-float","46":"/en/api/mp_math/line.html#def-cal-intersection-self-other-line3-point3","47":"/en/api/mp_math/line.html#def-cal-perpendicular-self-point-point3-line3","48":"/en/api/mp_math/line.html#def-get-point-self-t-realnumber-point3","49":"/en/api/mp_math/line.html#def-get-parametric-equations-self-tuple-onesinglevarfunc-onesinglevarfunc-onesinglevarfunc","50":"/en/api/mp_math/line.html#def-is-approx-parallel-self-other-line3-epsilon-float-1e-06-bool","51":"/en/api/mp_math/line.html#def-is-parallel-self-other-line3-bool","52":"/en/api/mp_math/line.html#def-is-collinear-self-other-line3-bool","53":"/en/api/mp_math/line.html#def-is-point-on-self-point-point3-bool","54":"/en/api/mp_math/line.html#def-is-coplanar-self-other-line3-bool","55":"/en/api/mp_math/line.html#def-simplify-self","56":"/en/api/mp_math/line.html#def-from-two-points-cls-p1-point3-p2-point3-line3","57":"/en/api/mp_math/line.html#def-and-self-other-line3-line3-point3-none","58":"/en/api/mp_math/line.html#def-eq-self-other-bool","59":"/en/api/mp_math/mp_math.html#mbcp-mp-math","60":"/en/api/mp_math/mp_math_typing.html#mbcp-mp-math-mp-math-typing","61":"/en/api/mp_math/mp_math_typing.html#var-realnumber-int-float","62":"/en/api/mp_math/mp_math_typing.html#var-number-realnumber-complex","63":"/en/api/mp_math/mp_math_typing.html#var-singlevar-typevar-singlevar-bound-number","64":"/en/api/mp_math/mp_math_typing.html#var-arrayvar-typevar-arrayvar-bound-iterable-number","65":"/en/api/mp_math/mp_math_typing.html#var-var-singlevar-arrayvar","66":"/en/api/mp_math/mp_math_typing.html#var-onesinglevarfunc-callable-singlevar-singlevar","67":"/en/api/mp_math/mp_math_typing.html#var-onearrayfunc-callable-arrayvar-arrayvar","68":"/en/api/mp_math/mp_math_typing.html#var-onevarfunc-onesinglevarfunc-onearrayfunc","69":"/en/api/mp_math/mp_math_typing.html#var-twosinglevarsfunc-callable-singlevar-singlevar-singlevar","70":"/en/api/mp_math/mp_math_typing.html#var-twoarraysfunc-callable-arrayvar-arrayvar-arrayvar","71":"/en/api/mp_math/mp_math_typing.html#var-twovarsfunc-twosinglevarsfunc-twoarraysfunc","72":"/en/api/mp_math/mp_math_typing.html#var-threesinglevarsfunc-callable-singlevar-singlevar-singlevar-singlevar","73":"/en/api/mp_math/mp_math_typing.html#var-threearraysfunc-callable-arrayvar-arrayvar-arrayvar-arrayvar","74":"/en/api/mp_math/mp_math_typing.html#var-threevarsfunc-threesinglevarsfunc-threearraysfunc","75":"/en/api/mp_math/mp_math_typing.html#var-multisinglevarsfunc-callable-singlevar","76":"/en/api/mp_math/mp_math_typing.html#var-multiarraysfunc-callable-arrayvar","77":"/en/api/mp_math/mp_math_typing.html#var-multivarsfunc-multisinglevarsfunc-multiarraysfunc","78":"/en/api/mp_math/plane.html#mbcp-mp-math-plane","79":"/en/api/mp_math/plane.html#class-plane3","80":"/en/api/mp_math/plane.html#def-init-self-a-float-b-float-c-float-d-float","81":"/en/api/mp_math/plane.html#def-approx-self-other-plane3-bool","82":"/en/api/mp_math/plane.html#def-cal-angle-self-other-line3-plane3-anyangle","83":"/en/api/mp_math/plane.html#def-cal-distance-self-other-plane3-point3-float","84":"/en/api/mp_math/plane.html#def-cal-intersection-line3-self-other-plane3-line3","85":"/en/api/mp_math/plane.html#def-cal-intersection-point3-self-other-line3-point3","86":"/en/api/mp_math/plane.html#def-cal-parallel-plane3-self-point-point3-plane3","87":"/en/api/mp_math/plane.html#def-is-parallel-self-other-plane3-bool","88":"/en/api/mp_math/plane.html#def-normal-self-vector3","89":"/en/api/mp_math/plane.html#def-from-point-and-normal-cls-point-point3-normal-vector3-plane3","90":"/en/api/mp_math/plane.html#def-from-three-points-cls-p1-point3-p2-point3-p3-point3-plane3","91":"/en/api/mp_math/plane.html#def-from-two-lines-cls-l1-line3-l2-line3-plane3","92":"/en/api/mp_math/plane.html#def-from-point-and-line-cls-point-point3-line-line3-plane3","93":"/en/api/mp_math/plane.html#def-and-self-other-line3-point3-none","94":"/en/api/mp_math/plane.html#def-and-self-other-plane3-line3-none","95":"/en/api/mp_math/plane.html#def-and-self-other","96":"/en/api/mp_math/plane.html#def-eq-self-other-bool","97":"/en/api/mp_math/plane.html#def-rand-self-other-line3-point3","98":"/en/api/mp_math/point.html#mbcp-mp-math-point","99":"/en/api/mp_math/point.html#class-point3","100":"/en/api/mp_math/point.html#def-init-self-x-float-y-float-z-float","101":"/en/api/mp_math/point.html#def-approx-self-other-point3-epsilon-float-approx-bool","102":"/en/api/mp_math/point.html#def-self-other-vector3-point3","103":"/en/api/mp_math/point.html#def-self-other-point3-point3","104":"/en/api/mp_math/point.html#def-self-other","105":"/en/api/mp_math/point.html#def-eq-self-other","106":"/en/api/mp_math/point.html#def-self-other-point3-vector3","107":"/en/api/mp_math/segment.html#mbcp-mp-math-segment","108":"/en/api/mp_math/segment.html#class-segment3","109":"/en/api/mp_math/segment.html#def-init-self-p1-point3-p2-point3","110":"/en/api/mp_math/utils.html#mbcp-mp-math-utils","111":"/en/api/mp_math/utils.html#def-clamp-x-float-min-float-max-float-float","112":"/en/api/mp_math/utils.html#class-approx","113":"/en/api/mp_math/utils.html#def-init-self-value-realnumber","114":"/en/api/mp_math/utils.html#def-eq-self-other","115":"/en/api/mp_math/utils.html#def-raise-type-error-self-other","116":"/en/api/mp_math/utils.html#def-ne-self-other","117":"/en/api/mp_math/utils.html#def-approx-x-float-y-float-0-0-epsilon-float-approx-bool","118":"/en/api/mp_math/utils.html#def-sign-x-float-only-neg-bool-false-str","119":"/en/api/mp_math/utils.html#def-sign-format-x-float-only-neg-bool-false-str","120":"/en/api/particle/#mbcp-particle","121":"/en/api/mp_math/vector.html#mbcp-mp-math-vector","122":"/en/api/mp_math/vector.html#class-vector3","123":"/en/api/mp_math/vector.html#def-init-self-x-float-y-float-z-float","124":"/en/api/mp_math/vector.html#def-approx-self-other-vector3-epsilon-float-approx-bool","125":"/en/api/mp_math/vector.html#def-cal-angle-self-other-vector3-anyangle","126":"/en/api/mp_math/vector.html#def-cross-self-other-vector3-vector3","127":"/en/api/mp_math/vector.html#def-is-approx-parallel-self-other-vector3-epsilon-float-approx-bool","128":"/en/api/mp_math/vector.html#def-is-parallel-self-other-vector3-bool","129":"/en/api/mp_math/vector.html#def-normalize-self","130":"/en/api/mp_math/vector.html#def-np-array-self-np-ndarray","131":"/en/api/mp_math/vector.html#def-length-self-float","132":"/en/api/mp_math/vector.html#def-unit-self-vector3","133":"/en/api/mp_math/vector.html#def-abs-self","134":"/en/api/mp_math/vector.html#def-self-other-vector3-vector3","135":"/en/api/mp_math/vector.html#def-self-other-point3-point3","136":"/en/api/mp_math/vector.html#def-self-other","137":"/en/api/mp_math/vector.html#def-eq-self-other","138":"/en/api/mp_math/vector.html#def-self-other-point3-point3-1","139":"/en/api/mp_math/vector.html#def-self-other-vector3-vector3-1","140":"/en/api/mp_math/vector.html#def-self-other-point3-point3-2","141":"/en/api/mp_math/vector.html#def-self-other-1","142":"/en/api/mp_math/vector.html#def-self-other-point3","143":"/en/api/mp_math/vector.html#def-self-other-vector3-vector3-2","144":"/en/api/mp_math/vector.html#def-self-other-realnumber-vector3","145":"/en/api/mp_math/vector.html#def-self-other-int-float-vector3-vector3","146":"/en/api/mp_math/vector.html#def-self-other-realnumber-vector3-1","147":"/en/api/mp_math/vector.html#def-self-other-vector3-realnumber","148":"/en/api/mp_math/vector.html#def-self-other-realnumber-vector3-2","149":"/en/api/mp_math/vector.html#def-self","150":"/en/api/mp_math/vector.html#var-zero-vector3-vector3-0-0-0","151":"/en/api/mp_math/vector.html#var-x-axis-vector3-1-0-0","152":"/en/api/mp_math/vector.html#var-y-axis-vector3-0-1-0","153":"/en/api/mp_math/vector.html#var-z-axis-vector3-0-0-1","154":"/en/api/particle/particle.html#mbcp-particle","155":"/en/api/presets/#mbcp-presets","156":"/en/api/presets/model/#mbcp-presets-model","157":"/en/api/presets/model/#class-geometricmodels","158":"/en/api/presets/model/#def-sphere-radius-float-density-float","159":"/en/api/presets/model/model.html#mbcp-presets-model","160":"/en/api/presets/model/model.html#class-geometricmodels","161":"/en/api/presets/model/model.html#def-sphere-radius-float-density-float","162":"/en/api/presets/presets.html#mbcp-presets","163":"/en/guide/#开始不了一点","164":"/en/refer/#reference"},"fieldIds":{"title":0,"titles":1,"text":2},"fieldLength":{"0":[1,1,3],"1":[1,1,3],"2":[4,1,3],"3":[2,4,1],"4":[4,4,1],"5":[11,8,28],"6":[5,8,27],"7":[5,8,26],"8":[5,8,23],"9":[6,8,24],"10":[6,8,26],"11":[5,8,21],"12":[5,8,21],"13":[5,8,21],"14":[5,8,23],"15":[5,8,23],"16":[5,8,23],"17":[7,8,18],"18":[5,8,14],"19":[6,8,17],"20":[7,8,19],"21":[7,8,16],"22":[7,8,16],"23":[3,8,18],"24":[4,1,3],"25":[5,4,4],"26":[5,4,5],"27":[10,4,3],"28":[5,4,3],"29":[5,4,3],"30":[5,4,3],"31":[4,1,3],"32":[2,4,1],"33":[9,6,23],"34":[10,6,38],"35":[15,4,71],"36":[4,1,3],"37":[14,4,62],"38":[8,4,58],"39":[3,1,21],"40":[4,1,3],"41":[2,4,1],"42":[8,6,22],"43":[11,6,31],"44":[8,6,28],"45":[10,6,47],"46":[8,6,45],"47":[8,6,26],"48":[8,6,29],"49":[9,6,28],"50":[14,6,30],"51":[8,6,25],"52":[8,6,28],"53":[8,6,25],"54":[8,6,31],"55":[4,6,30],"56":[10,6,32],"57":[9,6,38],"58":[6,6,29],"59":[3,1,21],"60":[4,1,3],"61":[6,4,5],"62":[6,4,5],"63":[6,4,3],"64":[7,4,3],"65":[6,4,5],"66":[6,4,5],"67":[6,4,5],"68":[6,4,5],"69":[6,4,5],"70":[6,4,5],"71":[6,4,5],"72":[6,4,5],"73":[6,4,5],"74":[6,4,5],"75":[6,4,5],"76":[6,4,5],"77":[6,4,5],"78":[4,1,3],"79":[2,4,1],"80":[9,6,29],"81":[7,6,35],"82":[10,6,45],"83":[10,6,49],"84":[9,6,56],"85":[9,6,56],"86":[9,6,28],"87":[8,6,26],"88":[5,6,24],"89":[10,6,39],"90":[11,6,39],"91":[10,6,44],"92":[10,6,34],"93":[9,6,18],"94":[9,6,18],"95":[5,6,48],"96":[6,6,15],"97":[7,6,18],"98":[4,1,3],"99":[2,4,1],"100":[8,6,20],"101":[11,6,31],"102":[8,6,16],"103":[7,6,15],"104":[4,6,25],"105":[5,6,22],"106":[7,6,32],"107":[4,1,3],"108":[2,4,1],"109":[7,6,28],"110":[4,1,3],"111":[7,4,25],"112":[2,4,1],"113":[6,6,13],"114":[5,6,34],"115":[7,6,18],"116":[5,6,14],"117":[11,4,33],"118":[11,4,34],"119":[12,4,40],"120":[2,1,3],"121":[4,1,4],"122":[2,4,1],"123":[8,6,22],"124":[11,6,30],"125":[8,6,29],"126":[6,6,42],"127":[13,6,31],"128":[8,6,28],"129":[4,6,20],"130":[6,6,21],"131":[5,6,27],"132":[5,6,21],"133":[4,6,13],"134":[7,6,15],"135":[7,6,15],"136":[4,6,39],"137":[5,6,24],"138":[7,6,25],"139":[6,6,15],"140":[6,6,15],"141":[3,6,38],"142":[4,6,38],"143":[6,6,15],"144":[7,6,16],"145":[9,6,41],"146":[7,6,16],"147":[7,6,24],"148":[7,6,18],"149":[2,6,15],"150":[7,4,5],"151":[8,4,5],"152":[8,4,5],"153":[8,4,5],"154":[2,1,3],"155":[2,1,24],"156":[3,1,3],"157":[2,3,2],"158":[6,5,51],"159":[3,1,3],"160":[2,3,2],"161":[6,5,51],"162":[2,1,24],"163":[1,1,2],"164":[1,1,7]},"averageFieldLength":[6.242424242424242,4.963636363636361,19.648484848484856],"storedFields":{"0":{"title":"mbcp","titles":[]},"1":{"title":"mbcp","titles":[]},"2":{"title":"mbcp.mp_math.angle","titles":[]},"3":{"title":"class Angle","titles":["mbcp.mp_math.angle"]},"4":{"title":"class AnyAngle(Angle)","titles":["mbcp.mp_math.angle"]},"5":{"title":"def __init__(self, value: float, is_radian: bool = False)","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"6":{"title":"def complementary(self) -> AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"7":{"title":"def supplementary(self) -> AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"8":{"title":"def degree(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"9":{"title":"def minimum_positive(self) -> AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"10":{"title":"def maximum_negative(self) -> AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"11":{"title":"def sin(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"12":{"title":"def cos(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"13":{"title":"def tan(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"14":{"title":"def cot(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"15":{"title":"def sec(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"16":{"title":"def csc(self) -> float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"17":{"title":"def self + other: AnyAngle => AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"18":{"title":"def __eq__(self, other)","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"19":{"title":"def self - other: AnyAngle => AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"20":{"title":"def self * other: float => AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"21":{"title":"def self / other: float => AnyAngle","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"22":{"title":"def self / other: AnyAngle => float","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"23":{"title":"def self / other","titles":["mbcp.mp_math.angle","class AnyAngle(Angle)"]},"24":{"title":"mbcp.mp_math.const","titles":[]},"25":{"title":"var PI = math.pi","titles":["mbcp.mp_math.const"]},"26":{"title":"var E = math.e","titles":["mbcp.mp_math.const"]},"27":{"title":"var GOLDEN_RATIO = (1 + math.sqrt(5)) / 2","titles":["mbcp.mp_math.const"]},"28":{"title":"var GAMMA = 0.5772156649015329","titles":["mbcp.mp_math.const"]},"29":{"title":"var EPSILON = 0.0001","titles":["mbcp.mp_math.const"]},"30":{"title":"var APPROX = 0.001","titles":["mbcp.mp_math.const"]},"31":{"title":"mbcp.mp_math.equation","titles":[]},"32":{"title":"class CurveEquation","titles":["mbcp.mp_math.equation"]},"33":{"title":"def __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)","titles":["mbcp.mp_math.equation","class CurveEquation"]},"34":{"title":"def __call__(self, *t: Var) -> Point3 | tuple[Point3, ...]","titles":["mbcp.mp_math.equation","class CurveEquation"]},"35":{"title":"def get_partial_derivative_func(func: MultiVarsFunc, var: int | tuple[int, ...], epsilon: Number = EPSILON) -> MultiVarsFunc","titles":["mbcp.mp_math.equation"]},"36":{"title":"mbcp.mp_math.function","titles":[]},"37":{"title":"def cal_gradient_3vf(func: ThreeSingleVarsFunc, p: Point3, epsilon: float = EPSILON) -> Vector3","titles":["mbcp.mp_math.function"]},"38":{"title":"def curry(func: MultiVarsFunc, *args: Var) -> OneVarFunc","titles":["mbcp.mp_math.function"]},"39":{"title":"mbcp.mp_math","titles":[]},"40":{"title":"mbcp.mp_math.line","titles":[]},"41":{"title":"class Line3","titles":["mbcp.mp_math.line"]},"42":{"title":"def __init__(self, point: Point3, direction: Vector3)","titles":["mbcp.mp_math.line","class Line3"]},"43":{"title":"def approx(self, other: Line3, epsilon: float = APPROX) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"44":{"title":"def cal_angle(self, other: Line3) -> AnyAngle","titles":["mbcp.mp_math.line","class Line3"]},"45":{"title":"def cal_distance(self, other: Line3 | Point3) -> float","titles":["mbcp.mp_math.line","class Line3"]},"46":{"title":"def cal_intersection(self, other: Line3) -> Point3","titles":["mbcp.mp_math.line","class Line3"]},"47":{"title":"def cal_perpendicular(self, point: Point3) -> Line3","titles":["mbcp.mp_math.line","class Line3"]},"48":{"title":"def get_point(self, t: RealNumber) -> Point3","titles":["mbcp.mp_math.line","class Line3"]},"49":{"title":"def get_parametric_equations(self) -> tuple[OneSingleVarFunc, OneSingleVarFunc, OneSingleVarFunc]","titles":["mbcp.mp_math.line","class Line3"]},"50":{"title":"def is_approx_parallel(self, other: Line3, epsilon: float = 1e-06) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"51":{"title":"def is_parallel(self, other: Line3) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"52":{"title":"def is_collinear(self, other: Line3) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"53":{"title":"def is_point_on(self, point: Point3) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"54":{"title":"def is_coplanar(self, other: Line3) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"55":{"title":"def simplify(self)","titles":["mbcp.mp_math.line","class Line3"]},"56":{"title":"def from_two_points(cls, p1: Point3, p2: Point3) -> Line3","titles":["mbcp.mp_math.line","class Line3"]},"57":{"title":"def __and__(self, other: Line3) -> Line3 | Point3 | None","titles":["mbcp.mp_math.line","class Line3"]},"58":{"title":"def __eq__(self, other) -> bool","titles":["mbcp.mp_math.line","class Line3"]},"59":{"title":"mbcp.mp_math","titles":[]},"60":{"title":"mbcp.mp_math.mp_math_typing","titles":[]},"61":{"title":"var RealNumber = int | float","titles":["mbcp.mp_math.mp_math_typing"]},"62":{"title":"var Number = RealNumber | complex","titles":["mbcp.mp_math.mp_math_typing"]},"63":{"title":"var SingleVar = TypeVar(\'SingleVar\', bound=Number)","titles":["mbcp.mp_math.mp_math_typing"]},"64":{"title":"var ArrayVar = TypeVar(\'ArrayVar\', bound=Iterable[Number])","titles":["mbcp.mp_math.mp_math_typing"]},"65":{"title":"var Var = SingleVar | ArrayVar","titles":["mbcp.mp_math.mp_math_typing"]},"66":{"title":"var OneSingleVarFunc = Callable[[SingleVar], SingleVar]","titles":["mbcp.mp_math.mp_math_typing"]},"67":{"title":"var OneArrayFunc = Callable[[ArrayVar], ArrayVar]","titles":["mbcp.mp_math.mp_math_typing"]},"68":{"title":"var OneVarFunc = OneSingleVarFunc | OneArrayFunc","titles":["mbcp.mp_math.mp_math_typing"]},"69":{"title":"var TwoSingleVarsFunc = Callable[[SingleVar, SingleVar], SingleVar]","titles":["mbcp.mp_math.mp_math_typing"]},"70":{"title":"var TwoArraysFunc = Callable[[ArrayVar, ArrayVar], ArrayVar]","titles":["mbcp.mp_math.mp_math_typing"]},"71":{"title":"var TwoVarsFunc = TwoSingleVarsFunc | TwoArraysFunc","titles":["mbcp.mp_math.mp_math_typing"]},"72":{"title":"var ThreeSingleVarsFunc = Callable[[SingleVar, SingleVar, SingleVar], SingleVar]","titles":["mbcp.mp_math.mp_math_typing"]},"73":{"title":"var ThreeArraysFunc = Callable[[ArrayVar, ArrayVar, ArrayVar], ArrayVar]","titles":["mbcp.mp_math.mp_math_typing"]},"74":{"title":"var ThreeVarsFunc = ThreeSingleVarsFunc | ThreeArraysFunc","titles":["mbcp.mp_math.mp_math_typing"]},"75":{"title":"var MultiSingleVarsFunc = Callable[..., SingleVar]","titles":["mbcp.mp_math.mp_math_typing"]},"76":{"title":"var MultiArraysFunc = Callable[..., ArrayVar]","titles":["mbcp.mp_math.mp_math_typing"]},"77":{"title":"var MultiVarsFunc = MultiSingleVarsFunc | MultiArraysFunc","titles":["mbcp.mp_math.mp_math_typing"]},"78":{"title":"mbcp.mp_math.plane","titles":[]},"79":{"title":"class Plane3","titles":["mbcp.mp_math.plane"]},"80":{"title":"def __init__(self, a: float, b: float, c: float, d: float)","titles":["mbcp.mp_math.plane","class Plane3"]},"81":{"title":"def approx(self, other: Plane3) -> bool","titles":["mbcp.mp_math.plane","class Plane3"]},"82":{"title":"def cal_angle(self, other: Line3 | Plane3) -> AnyAngle","titles":["mbcp.mp_math.plane","class Plane3"]},"83":{"title":"def cal_distance(self, other: Plane3 | Point3) -> float","titles":["mbcp.mp_math.plane","class Plane3"]},"84":{"title":"def cal_intersection_line3(self, other: Plane3) -> Line3","titles":["mbcp.mp_math.plane","class Plane3"]},"85":{"title":"def cal_intersection_point3(self, other: Line3) -> Point3","titles":["mbcp.mp_math.plane","class Plane3"]},"86":{"title":"def cal_parallel_plane3(self, point: Point3) -> Plane3","titles":["mbcp.mp_math.plane","class Plane3"]},"87":{"title":"def is_parallel(self, other: Plane3) -> bool","titles":["mbcp.mp_math.plane","class Plane3"]},"88":{"title":"def normal(self) -> Vector3","titles":["mbcp.mp_math.plane","class Plane3"]},"89":{"title":"def from_point_and_normal(cls, point: Point3, normal: Vector3) -> Plane3","titles":["mbcp.mp_math.plane","class Plane3"]},"90":{"title":"def from_three_points(cls, p1: Point3, p2: Point3, p3: Point3) -> Plane3","titles":["mbcp.mp_math.plane","class Plane3"]},"91":{"title":"def from_two_lines(cls, l1: Line3, l2: Line3) -> Plane3","titles":["mbcp.mp_math.plane","class Plane3"]},"92":{"title":"def from_point_and_line(cls, point: Point3, line: Line3) -> Plane3","titles":["mbcp.mp_math.plane","class Plane3"]},"93":{"title":"def __and__(self, other: Line3) -> Point3 | None","titles":["mbcp.mp_math.plane","class Plane3"]},"94":{"title":"def __and__(self, other: Plane3) -> Line3 | None","titles":["mbcp.mp_math.plane","class Plane3"]},"95":{"title":"def __and__(self, other)","titles":["mbcp.mp_math.plane","class Plane3"]},"96":{"title":"def __eq__(self, other) -> bool","titles":["mbcp.mp_math.plane","class Plane3"]},"97":{"title":"def __rand__(self, other: Line3) -> Point3","titles":["mbcp.mp_math.plane","class Plane3"]},"98":{"title":"mbcp.mp_math.point","titles":[]},"99":{"title":"class Point3","titles":["mbcp.mp_math.point"]},"100":{"title":"def __init__(self, x: float, y: float, z: float)","titles":["mbcp.mp_math.point","class Point3"]},"101":{"title":"def approx(self, other: Point3, epsilon: float = APPROX) -> bool","titles":["mbcp.mp_math.point","class Point3"]},"102":{"title":"def self + other: Vector3 => Point3","titles":["mbcp.mp_math.point","class Point3"]},"103":{"title":"def self + other: Point3 => Point3","titles":["mbcp.mp_math.point","class Point3"]},"104":{"title":"def self + other","titles":["mbcp.mp_math.point","class Point3"]},"105":{"title":"def __eq__(self, other)","titles":["mbcp.mp_math.point","class Point3"]},"106":{"title":"def self - other: Point3 => Vector3","titles":["mbcp.mp_math.point","class Point3"]},"107":{"title":"mbcp.mp_math.segment","titles":[]},"108":{"title":"class Segment3","titles":["mbcp.mp_math.segment"]},"109":{"title":"def __init__(self, p1: Point3, p2: Point3)","titles":["mbcp.mp_math.segment","class Segment3"]},"110":{"title":"mbcp.mp_math.utils","titles":[]},"111":{"title":"def clamp(x: float, min_: float, max_: float) -> float","titles":["mbcp.mp_math.utils"]},"112":{"title":"class Approx","titles":["mbcp.mp_math.utils"]},"113":{"title":"def __init__(self, value: RealNumber)","titles":["mbcp.mp_math.utils","class Approx"]},"114":{"title":"def __eq__(self, other)","titles":["mbcp.mp_math.utils","class Approx"]},"115":{"title":"def raise_type_error(self, other)","titles":["mbcp.mp_math.utils","class Approx"]},"116":{"title":"def __ne__(self, other)","titles":["mbcp.mp_math.utils","class Approx"]},"117":{"title":"def approx(x: float, y: float = 0.0, epsilon: float = APPROX) -> bool","titles":["mbcp.mp_math.utils"]},"118":{"title":"def sign(x: float, only_neg: bool = False) -> str","titles":["mbcp.mp_math.utils"]},"119":{"title":"def sign_format(x: float, only_neg: bool = False) -> str","titles":["mbcp.mp_math.utils"]},"120":{"title":"mbcp.particle","titles":[]},"121":{"title":"mbcp.mp_math.vector","titles":[]},"122":{"title":"class Vector3","titles":["mbcp.mp_math.vector"]},"123":{"title":"def __init__(self, x: float, y: float, z: float)","titles":["mbcp.mp_math.vector","class Vector3"]},"124":{"title":"def approx(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["mbcp.mp_math.vector","class Vector3"]},"125":{"title":"def cal_angle(self, other: Vector3) -> AnyAngle","titles":["mbcp.mp_math.vector","class Vector3"]},"126":{"title":"def cross(self, other: Vector3) -> Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"127":{"title":"def is_approx_parallel(self, other: Vector3, epsilon: float = APPROX) -> bool","titles":["mbcp.mp_math.vector","class Vector3"]},"128":{"title":"def is_parallel(self, other: Vector3) -> bool","titles":["mbcp.mp_math.vector","class Vector3"]},"129":{"title":"def normalize(self)","titles":["mbcp.mp_math.vector","class Vector3"]},"130":{"title":"def np_array(self) -> np.ndarray","titles":["mbcp.mp_math.vector","class Vector3"]},"131":{"title":"def length(self) -> float","titles":["mbcp.mp_math.vector","class Vector3"]},"132":{"title":"def unit(self) -> Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"133":{"title":"def __abs__(self)","titles":["mbcp.mp_math.vector","class Vector3"]},"134":{"title":"def self + other: Vector3 => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"135":{"title":"def self + other: Point3 => Point3","titles":["mbcp.mp_math.vector","class Vector3"]},"136":{"title":"def self + other","titles":["mbcp.mp_math.vector","class Vector3"]},"137":{"title":"def __eq__(self, other)","titles":["mbcp.mp_math.vector","class Vector3"]},"138":{"title":"def self + other: Point3 => Point3","titles":["mbcp.mp_math.vector","class Vector3"]},"139":{"title":"def self - other: Vector3 => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"140":{"title":"def self - other: Point3 => Point3","titles":["mbcp.mp_math.vector","class Vector3"]},"141":{"title":"def self - other","titles":["mbcp.mp_math.vector","class Vector3"]},"142":{"title":"def self - other: Point3","titles":["mbcp.mp_math.vector","class Vector3"]},"143":{"title":"def self * other: Vector3 => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"144":{"title":"def self * other: RealNumber => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"145":{"title":"def self * other: int | float | Vector3 => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"146":{"title":"def self * other: RealNumber => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"147":{"title":"def self @ other: Vector3 => RealNumber","titles":["mbcp.mp_math.vector","class Vector3"]},"148":{"title":"def self / other: RealNumber => Vector3","titles":["mbcp.mp_math.vector","class Vector3"]},"149":{"title":"def - self","titles":["mbcp.mp_math.vector","class Vector3"]},"150":{"title":"var zero_vector3 = Vector3(0, 0, 0)","titles":["mbcp.mp_math.vector"]},"151":{"title":"var x_axis = Vector3(1, 0, 0)","titles":["mbcp.mp_math.vector"]},"152":{"title":"var y_axis = Vector3(0, 1, 0)","titles":["mbcp.mp_math.vector"]},"153":{"title":"var z_axis = Vector3(0, 0, 1)","titles":["mbcp.mp_math.vector"]},"154":{"title":"mbcp.particle","titles":[]},"155":{"title":"mbcp.presets","titles":[]},"156":{"title":"mbcp.presets.model","titles":[]},"157":{"title":"class GeometricModels","titles":["mbcp.presets.model"]},"158":{"title":"def sphere(radius: float, density: float)","titles":["mbcp.presets.model","class GeometricModels"]},"159":{"title":"mbcp.presets.model","titles":[]},"160":{"title":"class GeometricModels","titles":["mbcp.presets.model"]},"161":{"title":"def sphere(radius: float, density: float)","titles":["mbcp.presets.model","class GeometricModels"]},"162":{"title":"mbcp.presets","titles":[]},"163":{"title":"开始不了一点","titles":[]},"164":{"title":"Reference","titles":[]}},"dirtCount":0,"index":[["∫12x111",{"2":{"163":1}}],["开始不了一点",{"0":{"163":1}}],["4",{"2":{"158":1,"161":1}}],["球体上的点集",{"2":{"158":2,"161":2}}],["生成球体上的点集",{"2":{"158":2,"161":2}}],["几何模型点集",{"2":{"156":1,"159":1}}],["下午9",{"2":{"155":1,"162":1}}],["8",{"2":{"155":1,"162":1}}],["零向量",{"2":{"150":1}}],["非点乘",{"2":{"145":2}}],["别去点那边实现了",{"2":{"138":2}}],["单位向量",{"2":{"132":2}}],["单变量",{"2":{"63":1}}],["模",{"2":{"131":2}}],["向量的模",{"2":{"131":2}}],["向量积",{"2":{"126":2}}],["返回numpy数组",{"2":{"130":1}}],["返回如下行列式的结果",{"2":{"126":1}}],["将向量归一化",{"2":{"129":2}}],["允许的误差",{"2":{"127":2}}],["j",{"2":{"126":1}}],["行列式的结果",{"2":{"126":2}}],["其余结果的模为平行四边形的面积",{"2":{"126":2}}],["叉乘使用cross",{"2":{"145":2}}],["叉乘为0",{"2":{"126":2}}],["叉乘",{"2":{"126":2}}],["夹角",{"2":{"125":2}}],["夹角弧度",{"2":{"44":2,"82":2}}],["以及一些常用的向量",{"2":{"121":1}}],["格式化符号数",{"2":{"119":2}}],["quot",{"2":{"118":2,"119":4}}],["符号",{"2":{"118":2,"119":2}}],["获取该向量的单位向量",{"2":{"132":2}}],["获取数的符号",{"2":{"118":2}}],["获取直线的参数方程",{"2":{"49":2}}],["获取直线上的点",{"2":{"48":2}}],["用于判断是否近似于0",{"2":{"117":2}}],["或包装一个实数",{"2":{"117":2}}],["或整数元组",{"2":{"35":2}}],["限制后的值",{"2":{"111":2}}],["待限定的值",{"2":{"111":2}}],["区间限定函数",{"2":{"111":2}}],["us",{"2":{"164":1}}],["unit",{"0":{"132":1},"2":{"132":1}}],["unsupported",{"2":{"45":1,"82":1,"83":1,"95":1,"115":1,"136":1,"141":1,"142":1,"145":1}}],["utils",{"0":{"110":1},"1":{"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":1}}],["中心点",{"2":{"109":1}}],["中实现",{"2":{"106":2}}],["长度",{"2":{"109":1}}],["方向向量",{"2":{"109":1}}],["``x2",{"2":{"126":1}}],["``x1",{"2":{"126":1}}],["``i",{"2":{"126":1}}],["```",{"2":{"38":1}}],["```python",{"2":{"38":1}}],["`vector3`",{"2":{"106":1}}],["已在",{"2":{"106":2}}],["已知一个函数$f",{"2":{"37":1}}],["已知一个函数f",{"2":{"37":1}}],["坐标",{"2":{"100":6}}],["笛卡尔坐标系中的点",{"2":{"100":2}}],["人话",{"2":{"95":2}}],["取两平面的交集",{"2":{"95":2}}],["面上直线",{"2":{"92":2}}],["面上一点",{"2":{"92":2}}],["法向量",{"2":{"88":2,"89":2}}],["所求平面",{"2":{"86":2}}],["k``",{"2":{"126":1}}],["k",{"2":{"81":12}}],["另一个向量",{"2":{"125":2,"127":2,"128":2}}],["另一个平面或点",{"2":{"83":2}}],["另一个平面",{"2":{"81":2,"82":2,"84":2,"87":2}}],["另一条直线",{"2":{"43":2,"44":2,"46":2,"50":2,"51":2,"52":2,"54":2,"57":2}}],["常数项",{"2":{"80":2}}],["常量",{"2":{"25":1}}],["平面平行返回none",{"2":{"95":2}}],["平面",{"2":{"89":2,"90":2,"91":2,"92":2}}],["平面上的一点",{"2":{"89":2}}],["平面的法向量",{"2":{"88":2}}],["平面与直线平行或重合",{"2":{"85":2}}],["平面方程",{"2":{"80":2}}],["平行线返回none",{"2":{"57":2}}],["平行直线或点",{"2":{"45":2}}],["多元函数",{"2":{"77":1}}],["多元数组函数",{"2":{"76":1}}],["多元单变量函数",{"2":{"75":1}}],["二元函数",{"2":{"71":1}}],["二元数组函数",{"2":{"70":1}}],["二元单变量函数",{"2":{"69":1}}],["一元函数",{"2":{"68":1}}],["一元数组函数",{"2":{"67":1}}],["一元单变量函数",{"2":{"66":1}}],["一阶偏导",{"2":{"35":2}}],["变量",{"2":{"65":1}}],["变量位置",{"2":{"35":2}}],["数组运算",{"2":{"145":2}}],["数组变量",{"2":{"64":1}}],["数2",{"2":{"117":2}}],["数1",{"2":{"117":2}}],["数",{"2":{"62":1,"118":2,"119":2}}],["实数",{"2":{"61":1}}],["∧",{"2":{"58":2}}],["交线",{"2":{"95":2}}],["交线返回交点",{"2":{"57":2}}],["交点",{"2":{"46":2,"57":2,"85":2}}],["重合线返回自身",{"2":{"57":2}}],["由点和直线构造平面",{"2":{"92":2}}],["由点和法向量构造平面",{"2":{"89":2}}],["由两直线构造平面",{"2":{"91":2}}],["由两点构造直线",{"2":{"56":2}}],["由三点构造平面",{"2":{"90":2}}],["由一个点和一个方向向量确定",{"2":{"42":2}}],["工厂函数",{"2":{"56":2,"89":2,"90":2,"91":2,"92":2}}],["并对向量单位化",{"2":{"55":2}}],["处理",{"2":{"55":2}}],["处的梯度向量为",{"2":{"37":1}}],["化",{"2":{"55":2}}],["按照可行性一次对x",{"2":{"55":2}}],["不平行平面的交线",{"2":{"95":2}}],["不包含点",{"2":{"92":2}}],["不与平面平行或在平面上的直线",{"2":{"85":2}}],["不返回值",{"2":{"55":2,"129":2}}],["不支持的类型",{"2":{"44":2,"45":2,"82":2,"83":2}}],["自体归一化",{"2":{"129":2}}],["自体简化",{"2":{"55":2}}],["自然对数的底",{"2":{"26":1}}],["等价相等",{"2":{"55":2}}],["简化直线方程",{"2":{"55":2}}],["两平面的交线",{"2":{"84":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":{"54":2}}],["两角的和为180°",{"2":{"7":2}}],["两角的和为90°",{"2":{"6":2}}],["充要条件",{"2":{"54":2}}],["判断两个向量是否相等",{"2":{"137":2}}],["判断两个向量是否平行",{"2":{"128":2}}],["判断两个向量是否近似平行",{"2":{"127":2}}],["判断两个向量是否近似相等",{"2":{"124":2}}],["判断两个数是否近似相等",{"2":{"117":2}}],["判断两个点是否相等",{"2":{"105":2}}],["判断两个点是否近似相等",{"2":{"101":2}}],["判断两个平面是否平行",{"2":{"87":2}}],["判断两个平面是否近似相等",{"2":{"81":2}}],["判断两条直线是否等价",{"2":{"58":2}}],["判断两条直线是否共面",{"2":{"54":2}}],["判断两条直线是否共线",{"2":{"52":2}}],["判断两条直线是否平行",{"2":{"51":2}}],["判断两条直线是否近似平行",{"2":{"50":2}}],["判断两条直线是否近似相等",{"2":{"43":2}}],["判断点是否在直线上",{"2":{"53":2}}],["则两向量平行",{"2":{"126":2}}],["则同一个t对应的点不同",{"2":{"48":2}}],["则其在点$",{"2":{"37":1}}],["则其在点",{"2":{"37":1}}],["但起始点和方向向量不同",{"2":{"48":2}}],["同一条直线",{"2":{"48":2}}],["垂线",{"2":{"47":2}}],["指定点",{"2":{"47":2,"86":2}}],["距离",{"2":{"45":2,"83":2}}],["是否相等",{"2":{"137":2}}],["是否只返回负数的符号",{"2":{"118":2,"119":2}}],["是否共面",{"2":{"54":2}}],["是否共线",{"2":{"52":2}}],["是否在直线上",{"2":{"53":2}}],["是否平行",{"2":{"51":2,"87":2,"128":2}}],["是否近似平行",{"2":{"50":2,"127":2}}],["是否近似相等",{"2":{"43":2,"81":2,"101":2,"117":2,"124":2}}],["是否为弧度",{"2":{"5":2}}],["误差",{"2":{"43":2,"50":2,"117":2}}],["直线2",{"2":{"91":2}}],["直线1",{"2":{"91":2}}],["直线",{"2":{"56":2}}],["直线不共面",{"2":{"46":2}}],["直线平行",{"2":{"46":2}}],["直线的方向向量",{"2":{"42":2}}],["直线上的一点",{"2":{"42":2}}],["三元数组函数",{"2":{"73":1}}],["三元单变量函数",{"2":{"72":1}}],["三元函数",{"2":{"37":2,"74":1}}],["三维空间中的线段",{"2":{"109":2}}],["三维空间中的直线",{"2":{"42":2}}],["三维向量",{"2":{"39":1,"59":1}}],["三维线段",{"2":{"39":1,"59":1}}],["三维点",{"2":{"39":1,"59":1}}],["三维平面",{"2":{"39":1,"59":1}}],["三维直线",{"2":{"39":1,"59":1}}],["任意角",{"2":{"39":1,"59":1}}],["任意角度",{"2":{"5":2}}],["导入的类有",{"2":{"39":1,"59":1}}],["本包定义了一些常用的导入",{"2":{"39":1,"59":1}}],["本模块用于内部类型提示",{"2":{"60":1}}],["本模块定义了3维向量的类vector3",{"2":{"121":1}}],["本模块定义了粒子生成相关的工具",{"2":{"120":1,"154":1}}],["本模块定义了一些常用的工具函数",{"2":{"110":1}}],["本模块定义了一些常用的常量",{"2":{"24":1}}],["本模块定义了三维空间中点的类",{"2":{"98":1}}],["本模块定义了三维空间中的线段类",{"2":{"107":1}}],["本模块定义了三维空间中的平面类",{"2":{"78":1}}],["本模块定义了三维空间中的直线类",{"2":{"40":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":{"31":1}}],["本模块定义了角度相关的类",{"2":{"2":1}}],["本模块塞了一些预设的粒子生成器",{"2":{"0":1,"1":1}}],["help",{"2":{"164":1}}],["have",{"2":{"84":1}}],["https",{"2":{"38":1}}],["high",{"2":{"35":2}}],["hide",{"2":{"35":2,"38":1}}],["6",{"2":{"38":2}}],["3维向量",{"2":{"123":2}}],["355859667",{"2":{"38":1}}],["3",{"2":{"38":2}}],["3vf",{"0":{"37":1},"2":{"37":1}}],["by",{"2":{"80":2}}],["bound=iterable",{"0":{"64":1}}],["bound=number",{"0":{"63":1}}],["bool=false",{"2":{"5":1,"118":1,"119":1}}],["bool",{"0":{"5":1,"43":1,"50":1,"51":1,"52":1,"53":1,"54":1,"58":1,"81":1,"87":1,"96":1,"101":1,"117":1,"118":1,"119":1,"124":1,"127":1,"128":1},"2":{"43":1,"50":1,"51":1,"52":1,"53":1,"54":1,"58":1,"81":1,"87":1,"96":1,"101":1,"117":1,"124":1,"127":1,"128":1}}],["b",{"0":{"80":1},"2":{"38":4,"80":5,"81":7,"83":2,"84":12,"85":2,"88":1,"89":3}}],["柯里化后的函数",{"2":{"38":2}}],["柯理化",{"2":{"38":2}}],["可直接从mbcp",{"2":{"39":1,"59":1}}],["可参考",{"2":{"38":1}}],["可参考函数式编程",{"2":{"38":1}}],["可为整数",{"2":{"35":2}}],["有关函数柯里化",{"2":{"38":2}}],["对多参数函数进行柯里化",{"2":{"38":2}}],["d",{"0":{"80":1},"2":{"80":7,"81":6,"83":1,"84":6,"85":1,"89":2}}],["documentation",{"2":{"164":1}}],["do",{"2":{"46":2}}],["distance",{"0":{"45":1,"83":1},"2":{"45":1,"83":1}}],["direction",{"0":{"42":1},"2":{"42":5,"43":1,"44":2,"45":8,"46":6,"47":1,"48":1,"49":3,"50":2,"51":2,"52":1,"53":1,"54":2,"55":4,"56":2,"58":3,"82":1,"84":2,"85":4,"91":1,"92":1,"95":1,"109":2}}],["dz",{"2":{"37":2}}],["dy",{"2":{"37":2}}],["dx",{"2":{"37":2}}],["density",{"0":{"158":1,"161":1},"2":{"158":4,"161":4}}],["derivative",{"0":{"35":1},"2":{"35":6}}],["degree",{"0":{"8":1},"2":{"8":1}}],["def",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1},"2":{"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"21":1,"22":1,"35":2,"38":2,"56":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"102":1,"103":1,"130":1,"131":1,"132":1,"134":1,"135":1,"139":1,"140":1,"143":1,"144":1,"158":1,"161":1}}],["description",{"2":{"0":1,"1":1,"2":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,"24":1,"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"31":1,"33":1,"34":1,"35":1,"36":1,"37":1,"38":1,"39":1,"40":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,"58":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,"76":1,"77":1,"78":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,"95":1,"98":1,"100":1,"101":1,"104":1,"105":1,"106":1,"107":1,"109":1,"110":1,"111":1,"117":1,"118":1,"119":1,"120":1,"121":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"131":1,"132":1,"136":1,"137":1,"138":1,"141":1,"142":1,"145":1,"147":1,"150":1,"151":1,"152":1,"153":1,"154":1,"155":1,"156":1,"158":1,"159":1,"161":1,"162":1}}],["$处的梯度向量为",{"2":{"37":1}}],["$",{"2":{"37":3}}],["梯度",{"2":{"37":2}}],["点乘",{"2":{"147":2}}],["点乘使用",{"2":{"145":2}}],["点3",{"2":{"90":2}}],["点法式构造",{"2":{"89":2}}],["点2",{"2":{"56":2,"90":2}}],["点1",{"2":{"56":2,"90":2}}],["点",{"2":{"37":2,"48":2,"53":2}}],["∂f∂z",{"2":{"37":1}}],["∂f∂y",{"2":{"37":1}}],["∂f∂x",{"2":{"37":1}}],["∇f",{"2":{"37":1}}],["计算平行于该平面且过指定点的平面",{"2":{"86":2}}],["计算平面与直线的交点",{"2":{"85":2}}],["计算平面与平面或点之间的距离",{"2":{"83":2}}],["计算平面与平面之间的夹角",{"2":{"82":2}}],["计算两个向量之间的夹角",{"2":{"125":2}}],["计算两平面的交线",{"2":{"84":2}}],["计算两条直线点集合的交集",{"2":{"57":2}}],["计算两条直线的交点",{"2":{"46":2}}],["计算直线经过指定点p的垂线",{"2":{"47":2}}],["计算直线和直线或点之间的距离",{"2":{"45":2}}],["计算直线和直线之间的夹角",{"2":{"44":2}}],["计算三元函数在某点的梯度向量",{"2":{"37":2}}],["计算曲线上的点",{"2":{"34":2}}],["求高阶偏导函数",{"2":{"35":1}}],["求n元函数一阶偏导函数",{"2":{"35":2}}],["l2",{"0":{"91":1},"2":{"91":5}}],["l1",{"0":{"91":1},"2":{"91":7}}],["lambda",{"2":{"49":3}}],["left",{"2":{"37":1}}],["length",{"0":{"131":1},"2":{"45":5,"46":1,"82":2,"109":2,"125":2,"127":1,"129":5,"131":1,"132":1,"133":1}}],["len",{"2":{"34":1}}],["liteyukistudio",{"2":{"155":1,"162":1}}],["litedoc",{"2":{"35":2,"38":1}}],["linalg",{"2":{"84":3}}],["lines",{"0":{"91":1},"2":{"46":2,"91":1}}],["line",{"0":{"40":1,"92":2},"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,"58":1},"2":{"85":1,"92":5}}],["line3",{"0":{"41":1,"43":1,"44":1,"45":1,"46":1,"47":1,"50":1,"51":1,"52":1,"54":1,"56":1,"57":2,"82":1,"84":2,"85":1,"91":2,"92":1,"93":1,"94":1,"97":1},"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,"58":1},"2":{"39":1,"43":1,"44":1,"45":2,"46":1,"47":2,"50":1,"51":1,"52":1,"54":1,"56":1,"57":2,"59":1,"82":2,"84":3,"85":1,"91":2,"92":1,"93":1,"94":1,"95":2,"97":1,"114":1}}],["list",{"2":{"35":8,"158":10,"161":10}}],["无效变量类型",{"2":{"35":2}}],["偏导函数",{"2":{"35":2}}],["偏移量",{"2":{"35":2,"37":2}}],["高阶偏导数值",{"2":{"35":1}}],["高阶偏导",{"2":{"35":2}}],["函数式编程",{"2":{"38":1}}],["函数",{"2":{"35":2,"38":2}}],["因此该函数的稳定性有待提升",{"2":{"35":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":{"35":2}}],["目标点",{"2":{"34":2}}],["warning",{"2":{"35":2}}],["慎用",{"2":{"35":2}}],["这玩意不太稳定",{"2":{"35":2}}],["num",{"2":{"158":5,"161":5}}],["number=epsilon",{"2":{"35":1}}],["number",{"0":{"35":1,"62":1,"64":1}}],["ndarray",{"0":{"130":1},"2":{"130":1}}],["neg",{"0":{"118":1,"119":1},"2":{"118":4,"119":4,"149":1}}],["negative",{"0":{"10":1},"2":{"10":1}}],["ne",{"0":{"116":1},"2":{"116":1}}],["np",{"0":{"130":2},"2":{"84":9,"130":3,"158":9,"161":9}}],["no",{"2":{"84":1}}],["normal",{"0":{"88":1,"89":2},"2":{"82":5,"84":4,"85":1,"86":2,"87":2,"88":1,"89":7,"90":3,"91":1,"92":1,"95":3}}],["normalize",{"0":{"129":1},"2":{"55":1,"129":1}}],["none",{"0":{"57":1,"93":1,"94":1},"2":{"57":2,"93":1,"94":1,"95":2}}],["not",{"2":{"45":1,"46":4,"57":1,"116":1,"118":1,"119":1}}],["nabla",{"2":{"37":1}}],["参数t",{"2":{"48":2}}],["参数",{"2":{"34":2,"35":1,"38":2}}],["|",{"0":{"34":1,"35":1,"45":1,"57":2,"61":1,"62":1,"65":1,"68":1,"71":1,"74":1,"77":1,"82":1,"83":1,"93":1,"94":1,"145":2},"2":{"34":1,"35":1,"45":1,"57":2,"82":1,"83":1,"93":1,"94":1,"145":2}}],["曲线方程",{"2":{"33":2,"39":1,"59":1}}],["z轴单位向量",{"2":{"153":1}}],["z轴分量",{"2":{"123":2}}],["z2``",{"2":{"126":1}}],["z1``",{"2":{"126":1}}],["zero",{"0":{"150":1},"2":{"91":1,"128":1}}],["z系数",{"2":{"80":2}}],["zhihu",{"2":{"38":1}}],["zhuanlan",{"2":{"38":1}}],["z0",{"2":{"37":2}}],["zip",{"2":{"34":1}}],["z函数",{"2":{"33":2}}],["z",{"0":{"33":1,"100":1,"123":1,"153":1},"2":{"33":5,"34":4,"37":11,"49":4,"55":4,"83":1,"84":4,"85":4,"89":2,"100":7,"101":2,"104":2,"105":2,"106":2,"109":2,"114":2,"123":5,"124":2,"126":4,"129":1,"130":1,"131":1,"136":4,"137":2,"138":2,"141":4,"142":2,"145":3,"147":2,"148":1,"149":1,"158":2,"161":2}}],["y轴单位向量",{"2":{"152":1}}],["y轴分量",{"2":{"123":2}}],["y2",{"2":{"126":1}}],["y1",{"2":{"126":1}}],["y系数",{"2":{"80":2}}],["y0",{"2":{"37":2}}],["y函数",{"2":{"33":2}}],["y",{"0":{"33":1,"100":1,"117":1,"123":1,"152":1},"2":{"33":5,"34":4,"37":11,"49":4,"55":4,"83":1,"84":4,"85":4,"89":2,"100":7,"101":2,"104":2,"105":2,"106":2,"109":2,"114":2,"117":4,"123":5,"124":2,"126":4,"129":1,"130":1,"131":1,"136":4,"137":2,"138":2,"141":4,"142":2,"145":3,"147":2,"148":1,"149":1,"158":2,"161":2}}],["x轴单位向量",{"2":{"151":1}}],["x轴分量",{"2":{"123":2}}],["x3c",{"2":{"101":3,"114":1,"117":1,"118":1,"119":1,"124":3,"127":1}}],["x26",{"2":{"95":1}}],["x系数",{"2":{"80":2}}],["x0",{"2":{"37":2}}],["x函数",{"2":{"33":2}}],["x",{"0":{"33":1,"100":1,"111":1,"117":1,"118":1,"119":1,"123":1,"151":1},"2":{"33":5,"34":4,"37":11,"49":4,"55":2,"83":1,"84":4,"85":4,"89":2,"100":7,"101":2,"104":2,"105":2,"106":2,"109":2,"111":4,"114":2,"117":4,"118":5,"119":8,"123":5,"124":2,"126":4,"129":1,"130":1,"131":1,"136":4,"137":2,"138":2,"141":4,"142":2,"145":3,"147":2,"148":1,"149":1,"158":2,"161":2}}],["约等于判定误差",{"2":{"30":1}}],["精度误差",{"2":{"29":1}}],["欧拉常数",{"2":{"28":1}}],["06",{"0":{"50":1},"2":{"50":1}}],["001",{"0":{"30":1}}],["0001",{"0":{"29":1}}],["0",{"0":{"28":1,"29":1,"30":1,"117":2,"150":3,"151":2,"152":2,"153":2},"2":{"34":3,"37":6,"45":2,"54":1,"55":8,"80":2,"81":3,"83":2,"84":9,"85":1,"95":1,"117":1,"118":2,"119":4,"158":2,"161":2}}],["黄金分割比",{"2":{"27":1}}],["5772156649015329",{"0":{"28":1}}],["5",{"0":{"27":1},"2":{"83":1}}],["π",{"2":{"25":1}}],["to",{"2":{"164":1}}],["time",{"2":{"155":1,"162":1}}],["tip",{"2":{"37":2,"38":2}}],["theta",{"2":{"158":3,"161":3}}],["the",{"2":{"85":2,"164":1}}],["three",{"0":{"90":1},"2":{"90":1}}],["threevarsfunc",{"0":{"74":1}}],["threearraysfunc",{"0":{"73":1,"74":1}}],["threesinglevarsfunc",{"0":{"37":1,"72":1,"74":1},"2":{"37":1}}],["typing",{"0":{"60":1},"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,"76":1,"77":1}}],["typevar",{"0":{"63":1,"64":1}}],["typealias",{"2":{"61":1,"62":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"76":1,"77":1}}],["typeerror",{"2":{"44":2,"45":3,"82":3,"83":3,"95":1,"115":1,"136":1,"141":1,"142":1,"145":1}}],["type",{"0":{"115":1},"2":{"35":1,"45":1,"61":1,"62":1,"65":1,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"76":1,"77":1,"82":2,"83":2,"95":2,"114":2,"115":4,"136":2,"141":2,"142":2,"145":2,"150":1,"151":1,"152":1,"153":1}}],["twovarsfunc",{"0":{"71":1}}],["twoarraysfunc",{"0":{"70":1,"71":1}}],["twosinglevarsfunc",{"0":{"69":1,"71":1}}],["two",{"0":{"56":1,"91":1},"2":{"56":1,"91":1}}],["tuple",{"0":{"34":1,"35":1,"49":1},"2":{"34":2,"35":2,"49":1}}],["t",{"0":{"34":1,"48":1},"2":{"34":10,"48":4,"49":12,"85":4}}],["truediv",{"2":{"21":1,"22":1,"23":1,"148":1}}],["tan",{"0":{"13":1},"2":{"13":2,"14":1}}],["email",{"2":{"155":1,"162":1}}],["error",{"0":{"115":1},"2":{"114":2,"115":1}}],["examples",{"2":{"38":2}}],["exp",{"2":{"26":1}}],["elif",{"2":{"35":1,"45":3,"57":1,"81":2,"82":1,"83":1,"84":2,"95":1,"114":1,"118":1,"119":1,"136":1,"141":1,"145":1}}],["else",{"2":{"5":1,"34":1,"35":1,"45":2,"57":1,"81":1,"82":1,"83":1,"95":1,"114":2,"118":2,"119":2,"136":1,"141":1,"142":1,"145":1}}],["epsilon",{"0":{"29":1,"35":2,"37":2,"43":1,"50":1,"101":1,"117":1,"124":1,"127":1},"2":{"35":7,"37":12,"43":5,"50":4,"101":6,"117":4,"124":6,"127":4}}],["e",{"0":{"26":2}}],["equations",{"0":{"49":1},"2":{"49":1,"85":1}}],["equation",{"0":{"31":1},"1":{"32":1,"33":1,"34":1,"35":1}}],["eq",{"0":{"18":1,"58":1,"96":1,"105":1,"114":1,"137":1},"2":{"18":1,"58":1,"96":1,"105":1,"114":1,"116":1,"137":1}}],["+1",{"2":{"119":2}}],["+=",{"2":{"35":1}}],["+",{"0":{"17":1,"27":1,"102":1,"103":1,"104":1,"134":1,"135":1,"136":1,"138":1},"2":{"17":1,"37":3,"38":4,"46":1,"48":1,"49":3,"80":6,"83":5,"85":5,"104":7,"109":3,"118":3,"119":3,"131":2,"136":11,"138":5,"147":2,"158":1,"161":1}}],["12",{"2":{"155":2,"162":2}}],["1e",{"0":{"50":1}}],["1",{"0":{"27":1,"151":1,"152":1,"153":1},"2":{"14":1,"15":1,"16":1,"26":1,"34":1,"38":2,"91":1,"119":6,"158":4,"161":4}}],["180",{"2":{"5":1,"8":1}}],["正割值",{"2":{"15":4}}],["正切值",{"2":{"13":4}}],["正弦值",{"2":{"11":4}}],["余割值",{"2":{"16":4}}],["余切值",{"2":{"14":4}}],["余弦值",{"2":{"12":4}}],["余角",{"2":{"6":4}}],["最大值",{"2":{"111":2}}],["最大负角度",{"2":{"10":2}}],["最大负角",{"2":{"10":2}}],["最小值",{"2":{"111":2}}],["最小正角度",{"2":{"9":2}}],["最小正角",{"2":{"9":2}}],["弧度",{"2":{"8":2}}],["角度",{"2":{"8":2}}],["角度或弧度值",{"2":{"5":2}}],["补角",{"2":{"7":4}}],["2024",{"2":{"155":2,"162":2}}],["2020",{"2":{"155":1,"162":1}}],["2",{"0":{"27":1},"2":{"6":1,"9":1,"10":1,"35":1,"37":3,"38":2,"46":1,"83":3,"109":3,"131":3,"158":2,"161":2}}],[">",{"2":{"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"19":1,"20":1,"21":1,"22":1,"34":1,"35":5,"37":3,"38":6,"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,"58":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,"96":1,"97":1,"101":1,"102":1,"103":1,"104":2,"106":3,"111":1,"117":1,"118":2,"119":5,"124":1,"125":1,"126":2,"127":1,"128":1,"130":1,"131":1,"132":1,"134":1,"135":1,"136":2,"138":2,"139":1,"140":1,"141":2,"142":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1}}],["rmul",{"2":{"146":1}}],["rsub",{"2":{"142":1}}],["rights",{"2":{"155":1,"162":1}}],["right",{"2":{"37":1}}],["reference",{"0":{"164":1}}],["reserved",{"2":{"155":1,"162":1}}],["result",{"2":{"35":4}}],["realnumber",{"0":{"48":1,"61":1,"62":1,"113":1,"144":1,"146":1,"147":1,"148":1},"2":{"48":1,"113":1,"144":1,"146":1,"147":1,"148":1}}],["returns",{"2":{"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"34":1,"35":2,"37":1,"38":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,"58":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,"95":1,"101":1,"104":1,"105":1,"106":1,"111":1,"117":1,"118":1,"119":1,"124":1,"125":1,"126":1,"127":1,"128":1,"130":1,"131":1,"132":1,"136":1,"137":1,"141":1,"142":1,"145":1,"147":1,"158":1,"161":1}}],["return",{"2":{"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":2,"16":2,"17":1,"18":1,"19":1,"20":1,"23":2,"34":3,"35":5,"37":2,"38":5,"43":2,"44":2,"45":6,"46":2,"47":2,"48":2,"49":2,"50":2,"51":2,"52":2,"53":2,"54":2,"56":2,"57":4,"58":1,"81":5,"82":3,"83":3,"84":2,"85":2,"86":2,"87":2,"88":2,"89":2,"90":2,"91":2,"92":2,"95":5,"96":1,"97":1,"101":2,"104":1,"105":1,"106":1,"111":2,"114":2,"116":1,"117":2,"118":4,"119":4,"124":2,"125":2,"126":2,"127":2,"128":2,"130":1,"131":2,"132":2,"133":1,"136":2,"137":2,"138":3,"141":2,"142":1,"145":2,"146":1,"147":1,"148":1,"149":1,"158":2,"161":2}}],["range",{"2":{"158":2,"161":2}}],["rand",{"0":{"97":1},"2":{"97":1}}],["radius",{"0":{"158":1,"161":1},"2":{"158":7,"161":7}}],["radian=true",{"2":{"6":1,"7":1,"10":1,"17":1,"19":1,"20":1,"23":1,"82":1,"125":1}}],["radian",{"0":{"5":1},"2":{"5":6,"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":2,"18":2,"19":2,"20":1,"23":3}}],["radd",{"2":{"138":1}}],["raise",{"0":{"115":1},"2":{"35":1,"45":1,"46":2,"82":1,"83":1,"84":1,"85":1,"95":1,"114":2,"115":2,"136":1,"141":1,"142":1,"145":1}}],["raises",{"2":{"35":2,"44":2,"45":2,"46":2,"82":2,"83":2,"84":1,"85":2}}],["ratio",{"0":{"27":1}}],["geometricmodels",{"0":{"157":1,"160":1},"1":{"158":1,"161":1}}],["get",{"0":{"35":1,"48":1,"49":1},"2":{"35":2,"48":1,"49":1,"85":1,"91":1}}],["gradient",{"0":{"37":1},"2":{"37":1}}],["gamma",{"0":{"28":1}}],["golden",{"0":{"27":1}}],["gt",{"0":{"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"17":1,"19":1,"20":1,"21":1,"22":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"101":1,"102":1,"103":1,"106":1,"111":1,"117":1,"118":1,"119":1,"124":1,"125":1,"126":1,"127":1,"128":1,"130":1,"131":1,"132":1,"134":1,"135":1,"138":1,"139":1,"140":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1},"2":{"104":2,"106":2,"119":3,"126":1,"136":2,"138":1,"141":2,"142":1}}],["github",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["phi",{"2":{"158":5,"161":5}}],["pycharm",{"2":{"155":1,"162":1}}],["py",{"2":{"155":1,"162":1}}],["python",{"2":{"6":1,"7":1,"8":1,"9":1,"10":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"21":1,"22":1,"56":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"102":1,"103":1,"130":1,"131":1,"132":1,"134":1,"135":1,"139":1,"140":1,"143":1,"144":1,"158":1,"161":1}}],["pythondef",{"2":{"5":1,"17":1,"18":1,"19":1,"20":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":2,"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,"57":1,"58":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"95":1,"96":1,"97":1,"100":1,"101":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"129":1,"133":1,"136":1,"137":1,"138":1,"141":1,"142":1,"145":1,"146":1,"147":1,"148":1,"149":1}}],["presets",{"0":{"155":1,"156":1,"159":1,"162":1},"1":{"157":1,"158":1,"160":1,"161":1}}],["property",{"2":{"5":1,"6":2,"7":2,"8":2,"9":2,"10":2,"11":2,"12":2,"13":2,"14":2,"15":2,"16":1,"87":1,"88":1,"129":1,"130":2,"131":2,"132":1}}],["p3",{"0":{"90":1},"2":{"90":4}}],["p2",{"0":{"56":1,"90":1,"109":1},"2":{"56":4,"58":2,"90":4,"109":9}}],["p1",{"0":{"56":1,"90":1,"109":1},"2":{"56":5,"58":2,"90":6,"109":9}}],["perpendicular",{"0":{"47":1},"2":{"47":1}}],["particle",{"0":{"120":1,"154":1}}],["partial",{"0":{"35":1},"2":{"35":6,"37":6}}],["param",{"2":{"109":4,"138":2}}],["parametric",{"0":{"49":1},"2":{"49":1,"85":1}}],["parallel",{"0":{"50":1,"51":1,"86":1,"87":1,"127":1,"128":1},"2":{"43":2,"45":1,"46":2,"50":2,"51":2,"52":2,"53":1,"57":1,"58":2,"84":2,"85":1,"86":1,"87":2,"95":1,"127":1,"128":1}}],["planes",{"2":{"84":1}}],["plane",{"0":{"78":1},"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,"96":1,"97":1},"2":{"85":1}}],["plane3",{"0":{"79":1,"81":1,"82":1,"83":1,"84":1,"86":2,"87":1,"89":1,"90":1,"91":1,"92":1,"94":1},"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,"96":1,"97":1},"2":{"39":1,"59":1,"81":1,"82":2,"83":2,"84":1,"86":3,"87":1,"89":1,"90":1,"91":1,"92":1,"94":1,"95":2,"114":1}}],["plus",{"2":{"35":3}}],["p",{"0":{"37":1},"2":{"37":21,"38":1,"104":10,"106":8,"136":4,"138":4,"141":4,"142":4}}],["points",{"0":{"56":1,"90":1},"2":{"56":1,"90":1}}],["point",{"0":{"42":1,"47":1,"48":1,"53":2,"86":1,"89":2,"92":2,"98":1},"1":{"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1},"2":{"42":5,"43":2,"45":5,"46":3,"47":6,"48":2,"49":3,"52":2,"53":6,"54":2,"55":3,"58":2,"85":3,"86":5,"89":7,"90":1,"91":6,"92":6}}],["point3",{"0":{"34":2,"37":1,"42":1,"45":1,"46":1,"47":1,"48":1,"53":1,"56":2,"57":1,"83":1,"85":2,"86":1,"89":1,"90":3,"92":1,"93":1,"97":1,"99":1,"101":1,"102":1,"103":2,"106":1,"109":2,"135":2,"138":2,"140":2,"142":1},"1":{"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1},"2":{"34":4,"37":1,"39":1,"42":1,"45":2,"46":1,"47":1,"48":1,"53":1,"56":2,"57":1,"59":1,"83":2,"84":1,"85":3,"86":1,"89":1,"90":3,"92":1,"93":1,"95":1,"97":2,"101":1,"102":1,"103":2,"104":1,"106":1,"109":3,"114":1,"135":2,"136":2,"138":3,"140":2,"141":2,"142":3,"158":3,"161":3}}],["positive",{"0":{"9":1},"2":{"6":1,"7":1,"9":1}}],["pi",{"0":{"25":2},"2":{"5":1,"6":1,"7":1,"8":1,"9":1,"10":1,"158":2,"161":2}}],["outlook",{"2":{"155":1,"162":1}}],["operand",{"2":{"95":1,"136":1,"141":1,"142":1,"145":1}}],["overload",{"2":{"20":1,"21":2,"22":1,"92":1,"93":2,"94":1,"101":1,"102":2,"103":1,"133":1,"134":2,"135":1,"138":1,"139":2,"140":1,"142":1,"143":2,"144":1}}],["other",{"0":{"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"43":1,"44":1,"45":1,"46":1,"50":1,"51":1,"52":1,"54":1,"57":1,"58":1,"81":1,"82":1,"83":1,"84":1,"85":1,"87":1,"93":1,"94":1,"95":1,"96":1,"97":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"114":1,"115":1,"116":1,"124":1,"125":1,"126":1,"127":1,"128":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},"2":{"17":2,"18":2,"19":2,"20":2,"21":1,"22":1,"23":4,"43":5,"44":4,"45":13,"46":9,"50":4,"51":4,"52":5,"54":5,"57":7,"58":5,"81":15,"82":9,"83":9,"84":17,"85":11,"87":4,"93":1,"94":1,"95":10,"96":2,"97":2,"101":6,"102":1,"103":1,"104":6,"105":6,"106":6,"114":9,"115":2,"116":2,"124":6,"125":5,"126":9,"127":4,"128":4,"134":1,"135":1,"136":12,"137":6,"138":6,"139":1,"140":1,"141":12,"142":8,"143":1,"144":1,"145":12,"146":2,"147":6,"148":4}}],["only",{"0":{"118":1,"119":1},"2":{"118":4,"119":4}}],["onearrayfunc",{"0":{"67":1,"68":1}}],["onesinglevarfunc",{"0":{"49":3,"66":1,"68":1},"2":{"49":3}}],["onevarfunc",{"0":{"33":3,"38":1,"68":1},"2":{"33":3,"38":1}}],["on",{"0":{"53":1},"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"49":1,"50":1,"51":1,"52":1,"53":2,"54":1,"55":1,"56":1,"57":1,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["order",{"2":{"35":2}}],["or",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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":2,"58":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":2,"86":1,"87":1,"88":1,"89":1,"90":1,"91":1,"92":1,"93":1,"94":1,"95":1,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["v3",{"2":{"126":2}}],["vector",{"0":{"121":1},"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,"151":1,"152":1,"153":1},"2":{"106":1}}],["vector3",{"0":{"37":1,"42":1,"88":1,"89":1,"102":1,"106":1,"122":1,"124":1,"125":1,"126":2,"127":1,"128":1,"132":1,"134":2,"139":2,"143":2,"144":1,"145":2,"146":1,"147":1,"148":1,"150":2,"151":1,"152":1,"153":1},"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},"2":{"37":2,"39":1,"42":1,"59":1,"88":2,"89":1,"91":1,"102":1,"106":4,"114":2,"124":1,"125":1,"126":3,"127":1,"128":2,"132":1,"134":2,"136":3,"139":2,"141":3,"142":1,"143":2,"144":1,"145":6,"146":1,"147":1,"148":2,"149":1,"150":1,"151":1,"152":1,"153":1}}],["v2",{"2":{"58":2,"90":2,"91":4,"126":2}}],["v1",{"2":{"58":4,"90":2,"91":2,"126":2}}],["v",{"2":{"35":2,"104":2,"106":4,"136":8,"138":2,"141":8,"142":2}}],["var",{"0":{"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"34":1,"35":1,"38":1,"61":1,"62":1,"63":1,"64":1,"65":2,"66":1,"67":1,"68":1,"69":1,"70":1,"71":1,"72":1,"73":1,"74":1,"75":1,"76":1,"77":1,"150":1,"151":1,"152":1,"153":1},"2":{"34":1,"35":13,"38":3}}],["valueerror",{"2":{"35":3,"46":6,"84":1,"85":3}}],["value",{"0":{"5":1,"113":1},"2":{"5":5,"113":3,"114":6,"115":1}}],["view",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["cz",{"2":{"80":2}}],["clamp",{"0":{"111":1},"2":{"111":1,"158":1,"161":1}}],["classmethod",{"2":{"55":1,"56":1,"88":1,"89":2,"90":2,"91":2,"92":1}}],["class",{"0":{"3":1,"4":1,"32":1,"41":1,"79":1,"99":1,"108":1,"112":1,"122":1,"157":1,"160":1},"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,"23":1,"33":1,"34":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"113":1,"114":1,"115":1,"116":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,"158":1,"161":1},"2":{"106":2}}],["cls",{"0":{"56":1,"89":1,"90":1,"91":1,"92":1},"2":{"56":2,"89":2,"90":2,"91":2,"92":2}}],["cross",{"0":{"126":1},"2":{"45":4,"46":3,"47":1,"54":1,"84":1,"90":1,"91":1,"126":3,"127":1,"128":1}}],["c",{"0":{"80":1},"2":{"38":4,"80":5,"81":7,"83":2,"84":6,"85":2,"88":1,"89":3,"155":1,"162":1}}],["curried",{"2":{"38":6}}],["currying",{"2":{"38":2}}],["curry",{"0":{"38":1},"2":{"38":3}}],["curveequation",{"0":{"32":1},"1":{"33":1,"34":1},"2":{"39":1,"59":1}}],["cal",{"0":{"37":1,"44":1,"45":1,"46":1,"47":1,"82":1,"83":1,"84":1,"85":1,"86":1,"125":1},"2":{"37":1,"44":2,"45":1,"46":1,"47":1,"57":1,"82":2,"83":1,"84":1,"85":1,"86":1,"95":2,"97":1,"125":1}}],["callable",{"0":{"66":1,"67":1,"69":1,"70":1,"72":1,"73":1,"75":1,"76":1}}],["call",{"0":{"34":1},"2":{"34":1}}],["csc",{"0":{"16":1},"2":{"16":1}}],["copyright",{"2":{"155":1,"162":1}}],["coplanar",{"0":{"54":1},"2":{"45":1,"46":2,"54":1,"57":1}}],["coincident",{"2":{"85":1}}],["collinear",{"0":{"52":1},"2":{"52":1,"57":1}}],["complex",{"0":{"62":1}}],["complementary",{"0":{"6":1},"2":{"6":1,"82":1}}],["com",{"2":{"38":1,"155":1,"162":1}}],["const",{"0":{"24":1},"1":{"25":1,"26":1,"27":1,"28":1,"29":1,"30":1}}],["cot",{"0":{"14":1},"2":{"14":1}}],["cos",{"0":{"12":1},"2":{"12":2,"15":1,"158":2,"161":2}}],["code",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["sphere",{"0":{"158":1,"161":1},"2":{"158":1,"161":1}}],["staticmethod",{"2":{"157":1,"158":1,"160":1,"161":1}}],["str",{"0":{"118":1,"119":1},"2":{"118":1,"119":1}}],["snowykami",{"2":{"155":2,"162":2}}],["s",{"2":{"95":1,"136":1,"141":1,"142":1,"145":1}}],["software",{"2":{"155":1,"162":1}}],["solve",{"2":{"84":3}}],["source",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"111":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"158":1,"161":1}}],["sign",{"0":{"118":1,"119":1},"2":{"118":1,"119":1}}],["simplify",{"0":{"55":1},"2":{"55":1}}],["singlevar",{"0":{"63":2,"65":1,"66":2,"69":3,"72":4,"75":1}}],["sin",{"0":{"11":1},"2":{"11":2,"16":1,"158":3,"161":3}}],["sqrt",{"0":{"27":1},"2":{"131":1,"158":1,"161":1}}],["sub",{"2":{"19":1,"106":1,"139":1,"140":1,"141":1}}],["supplementary",{"0":{"7":1},"2":{"7":1}}],["segment",{"0":{"107":1},"1":{"108":1,"109":1}}],["segment3",{"0":{"108":1},"1":{"109":1},"2":{"39":1,"59":1}}],["sec",{"0":{"15":1},"2":{"15":1}}],["self",{"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,"17":1,"18":1,"19":1,"20":1,"21":1,"22":1,"23":1,"33":1,"34":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,"57":1,"58":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"88":1,"93":1,"94":1,"95":1,"96":1,"97":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"109":1,"113":1,"114":1,"115":1,"116":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},"2":{"5":3,"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":1,"22":1,"23":3,"33":4,"34":7,"42":3,"43":4,"44":2,"45":13,"46":8,"47":3,"48":3,"49":7,"50":2,"51":2,"52":4,"53":3,"54":3,"55":8,"57":6,"58":4,"80":5,"81":16,"82":4,"83":8,"84":15,"85":9,"86":2,"87":2,"88":4,"93":1,"94":1,"95":5,"96":2,"97":2,"100":4,"101":4,"102":1,"103":1,"104":4,"105":4,"106":4,"109":15,"113":2,"114":9,"115":2,"116":2,"123":4,"124":4,"125":3,"126":7,"127":2,"128":2,"129":5,"130":4,"131":4,"132":3,"133":2,"134":1,"135":1,"136":7,"137":4,"138":4,"139":1,"140":1,"141":7,"142":4,"143":1,"144":1,"145":7,"146":2,"147":4,"148":4,"149":4}}],["默认为否",{"2":{"5":2}}],["author",{"2":{"155":1,"162":1}}],["all",{"2":{"101":1,"114":1,"124":1,"155":1,"162":1}}],["acos",{"2":{"82":1,"125":1}}],["axis",{"0":{"151":1,"152":1,"153":1}}],["ax",{"2":{"80":2}}],["arccos",{"2":{"158":1,"161":1}}],["array",{"0":{"130":1},"2":{"84":6,"130":2,"158":6,"161":6}}],["arrayvar",{"0":{"64":2,"65":1,"67":2,"70":3,"73":4,"76":1}}],["area",{"2":{"158":2,"161":2}}],["are",{"2":{"46":2,"84":1,"85":1}}],["args2",{"2":{"38":2}}],["args",{"0":{"38":1},"2":{"5":1,"33":1,"34":1,"35":14,"37":1,"38":5,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"50":1,"51":1,"52":1,"53":1,"54":1,"56":1,"57":1,"58":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"89":1,"90":1,"91":1,"92":1,"95":1,"100":1,"101":1,"104":1,"105":1,"106":1,"111":1,"117":1,"118":1,"119":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"136":1,"137":1,"141":1,"142":1,"145":1,"147":1,"158":1,"161":1}}],["arguments",{"2":{"5":1,"33":1,"34":1,"35":1,"37":1,"38":1,"42":1,"43":1,"44":1,"45":1,"46":1,"47":1,"48":1,"50":1,"51":1,"52":1,"53":1,"54":1,"56":1,"57":1,"58":1,"80":1,"81":1,"82":1,"83":1,"84":1,"85":1,"86":1,"87":1,"89":1,"90":1,"91":1,"92":1,"95":1,"100":1,"101":1,"104":1,"105":1,"106":1,"111":1,"117":1,"118":1,"119":1,"123":1,"124":1,"125":1,"126":1,"127":1,"128":1,"136":1,"137":1,"141":1,"142":1,"145":1,"147":1,"158":1,"161":1}}],["abs",{"0":{"133":1},"2":{"45":1,"83":1,"101":3,"114":1,"117":1,"119":1,"124":3,"133":1}}],["a",{"0":{"80":1},"2":{"38":4,"80":5,"81":7,"83":2,"84":12,"85":2,"88":1,"89":3}}],["aaa",{"2":{"36":1}}],["approx",{"0":{"30":1,"43":2,"50":1,"81":1,"101":2,"112":1,"117":2,"124":2,"127":2},"1":{"113":1,"114":1,"115":1,"116":1},"2":{"18":1,"43":3,"50":2,"81":10,"96":1,"101":1,"105":3,"114":4,"117":1,"124":1,"127":1,"128":1,"137":3}}],["add",{"2":{"17":1,"38":8,"102":1,"103":1,"104":1,"134":1,"135":1,"136":1}}],["and",{"0":{"57":1,"89":1,"92":1,"93":1,"94":1,"95":1},"2":{"43":1,"46":2,"52":1,"57":1,"58":1,"81":6,"84":4,"85":1,"86":1,"89":1,"90":1,"91":1,"92":2,"93":1,"94":1,"95":2,"105":2,"115":1,"136":1,"137":2,"141":1,"142":1,"145":1}}],["anyangle",{"0":{"4":1,"6":1,"7":1,"9":1,"10":1,"17":2,"19":2,"20":1,"21":1,"22":1,"44":1,"82":1,"125":1},"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,"23":1},"2":{"6":2,"7":2,"9":2,"10":2,"17":3,"19":3,"20":2,"21":1,"22":1,"23":2,"39":1,"44":1,"59":1,"82":2,"125":2}}],["angle",{"0":{"2":1,"3":1,"4":1,"44":1,"82":1,"125":1},"1":{"3":1,"4":1,"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,"23":2},"2":{"44":2,"82":2,"125":1}}],["file",{"2":{"155":1,"162":1}}],["from",{"0":{"56":1,"89":1,"90":1,"91":1,"92":1},"2":{"56":1,"86":1,"89":1,"90":2,"91":2,"92":2,"106":1}}],["frac",{"2":{"37":3}}],["f",{"2":{"37":4,"82":1,"83":1,"95":1,"115":1,"119":3,"136":1,"141":1,"142":1,"145":1}}],["format",{"0":{"119":1},"2":{"119":1}}],["for",{"2":{"34":1,"35":1,"95":1,"136":1,"141":1,"142":1,"145":1,"158":2,"161":2}}],["function",{"0":{"36":1},"1":{"37":1,"38":1}}],["func",{"0":{"33":3,"35":2,"37":1,"38":1},"2":{"33":15,"34":6,"35":16,"37":9,"38":6}}],["false",{"0":{"5":1,"118":1,"119":1},"2":{"81":1}}],["float=0",{"2":{"117":1}}],["float=1e",{"2":{"50":1}}],["float=approx",{"2":{"43":1,"101":1,"117":1,"124":1,"127":1}}],["float=epsilon",{"2":{"37":1}}],["float",{"0":{"5":1,"8":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"20":1,"21":1,"22":1,"37":1,"43":1,"45":1,"50":1,"61":1,"80":4,"83":1,"100":3,"101":1,"111":4,"117":3,"118":1,"119":1,"123":3,"124":1,"127":1,"131":1,"145":1,"158":2,"161":2},"2":{"5":1,"8":1,"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"20":1,"21":1,"22":1,"45":1,"80":4,"83":1,"100":3,"111":4,"114":2,"117":1,"118":1,"119":1,"123":3,"131":1,"145":2,"158":2,"161":2}}],["==",{"2":{"34":1,"45":1,"54":1,"55":3,"85":1,"91":1,"95":1}}],["=",{"0":{"5":1,"17":1,"19":1,"20":1,"21":1,"22":1,"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"35":1,"37":1,"43":1,"50":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,"76":1,"77":1,"101":1,"102":1,"103":1,"106":1,"117":2,"118":1,"119":1,"124":1,"127":1,"134":1,"135":1,"138":1,"139":1,"140":1,"143":1,"144":1,"145":1,"146":1,"147":1,"148":1,"150":1,"151":1,"152":1,"153":1},"2":{"5":2,"33":3,"35":5,"37":5,"38":2,"42":2,"55":3,"56":1,"80":6,"81":6,"84":17,"85":2,"89":2,"90":3,"91":3,"100":3,"109":5,"113":1,"123":3,"129":4,"158":7,"161":7}}],["improve",{"2":{"164":1}}],["import",{"2":{"106":1}}],["i",{"2":{"158":4,"161":4}}],["invalid",{"2":{"35":1}}],["intersect",{"2":{"46":2}}],["intersection",{"0":{"46":1,"84":1,"85":1},"2":{"46":1,"57":1,"84":2,"85":1,"95":2,"97":1}}],["int",{"0":{"35":2,"61":1,"145":1},"2":{"35":3,"38":8,"114":2,"145":2,"158":1,"161":1}}],["in",{"2":{"34":1,"35":1,"158":2,"161":2}}],["init",{"0":{"5":1,"33":1,"42":1,"80":1,"100":1,"109":1,"113":1,"123":1},"2":{"5":1,"33":1,"42":1,"80":1,"100":1,"109":1,"113":1,"123":1,"155":1,"162":1}}],["if",{"2":{"5":1,"23":1,"34":1,"35":1,"45":2,"46":2,"55":3,"57":1,"81":1,"82":1,"83":1,"84":2,"85":1,"91":1,"95":3,"114":3,"118":2,"119":2,"136":1,"141":1,"142":1,"145":1}}],["isinstance",{"2":{"23":1,"35":2,"45":2,"82":2,"83":2,"95":2,"114":4,"136":2,"141":2,"142":1,"145":2}}],["is",{"0":{"5":1,"50":1,"51":1,"52":1,"53":1,"54":1,"87":1,"127":1,"128":1},"2":{"5":4,"6":1,"7":1,"10":1,"17":1,"19":1,"20":1,"23":1,"43":2,"45":2,"46":2,"50":2,"51":2,"52":3,"53":2,"54":1,"57":3,"58":2,"82":1,"84":1,"87":2,"95":1,"125":1,"127":1,"128":1}}],["model",{"0":{"156":1,"159":1},"1":{"157":1,"158":1,"160":1,"161":1}}],["midpoint",{"2":{"109":1}}],["min",{"0":{"111":1},"2":{"111":5}}],["minus",{"2":{"35":3}}],["minimum",{"0":{"9":1},"2":{"6":1,"7":1,"9":1}}],["multiarraysfunc",{"0":{"76":1,"77":1}}],["multisinglevarsfunc",{"0":{"75":1,"77":1}}],["multivarsfunc",{"0":{"35":2,"38":1,"77":1},"2":{"35":2,"38":1}}],["mul",{"2":{"20":1,"143":1,"144":1,"145":1,"146":1}}],["matmul",{"2":{"147":1}}],["math导入使用",{"2":{"39":1,"59":1}}],["math",{"0":{"2":1,"24":1,"25":1,"26":1,"27":1,"31":1,"36":1,"39":1,"40":1,"59":1,"60":2,"78":1,"98":1,"107":1,"110":1,"121":1},"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,"23":1,"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"32":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":1,"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,"76":2,"77":2,"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,"96":1,"97":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"108":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"151":1,"152":1,"153":1},"2":{"11":1,"12":1,"13":1,"14":1,"15":1,"16":1,"82":1,"125":1,"131":1}}],["max",{"0":{"111":1},"2":{"111":5}}],["maximum",{"0":{"10":1},"2":{"10":1}}],["mp",{"0":{"2":1,"24":1,"31":1,"36":1,"39":1,"40":1,"59":1,"60":2,"78":1,"98":1,"107":1,"110":1,"121":1},"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,"23":1,"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"32":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":1,"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,"76":2,"77":2,"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,"96":1,"97":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"108":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"151":1,"152":1,"153":1},"2":{"39":1,"59":1}}],["mbcp",{"0":{"0":1,"1":1,"2":1,"24":1,"31":1,"36":1,"39":1,"40":1,"59":1,"60":1,"78":1,"98":1,"107":1,"110":1,"120":1,"121":1,"154":1,"155":1,"156":1,"159":1,"162":1},"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,"23":1,"25":1,"26":1,"27":1,"28":1,"29":1,"30":1,"32":1,"33":1,"34":1,"35":1,"37":1,"38":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,"58":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,"76":1,"77":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,"96":1,"97":1,"99":1,"100":1,"101":1,"102":1,"103":1,"104":1,"105":1,"106":1,"108":1,"109":1,"111":1,"112":1,"113":1,"114":1,"115":1,"116":1,"117":1,"118":1,"119":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,"151":1,"152":1,"153":1,"157":1,"158":1,"160":1,"161":1}}]],"serializationVersion":2}';export{t as default};