³ò àŸÔPc@sddkZd„Zd„Zdefd„ƒYZd„Zdd„Zd „Zd „Zd „Z d „Z e d „Z e d„Z eZdS(iÿÿÿÿNccsQtd„|Dƒƒ}x4|D],}|t|ƒ}t|ƒdg|VqWdS(s Converts a list of iterables such that they become lists with as many items as is in the longest list by appending extra 0 items to them. cssx|]}t|ƒVqWdS(N(tlen(t.0tx((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys siN(tmaxRtlist(t sequencestmaxlenRtl((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytnullseqs cGstt|ƒŒS(sž The same as built-in zip function except instead of truncating to the shortest sequence, zeroes are added to respect the length of the longest sequence. (tzipR(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytnullzipstVectorcBs”eZdZd„Zd„Zd„Zd„Zd„Zdd„Zd„Z d „Z d „Z d „Z d „Z d „ZeZd„Zd„ZeZd„ZeZd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Zd„Z d„Z!d„Z"d„Z#d „Z$d!„Z%e&d"„d#„d+d$ƒZ(e&d%„d&„d+d'ƒZ)e&d(„d)„d+d*ƒZ*RS(,s– Spatial Vector in Cartesian space. Creating a new vector can be done in one of the following ways: - passing a sequence of numbers: myvec = vecmath.Vector( [1, 2, 3] ) - passing numbers as separate arguments: myvec = vecmath.Vector(1, 2, 3) - passing so called "vectorstring": myvec = vecmath.Vector("1.000000,2.000000,3.000000") - passing Source entity Keyvalues vector value: myvec = vecmath.Vector("1.000000 2.000000 3.000000") The first three values can be overridden with keyword arguments x, y and z: myvec = vecmath.Vector(sequence, x=500) myvec = vecmath.Vector(sequence, y=-2.7, z=0, x=42) c Osát|ƒdjo.g}|D]}|t|ƒq~|_nt|ƒdjoë|d}t|ƒidjot|ƒ}ny.g}|D]}|t|ƒq’~|_WqQtj oFg}|iddƒidƒD]}|t|ƒqã~|_qQt j o)t dt|ƒit |ƒf‚qQXndddg|_|o…yMd}x@d D]8} | |jot|| ƒ|i|rs(tjoinR(Rtsep((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR)kscCs t|iƒS(sF Returns the dimension of the vector (i.e. the number of components). (RR(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__len__tscCstd„t||ƒDƒƒS(s3 Adds two vectors mathematically. If the vectors are not of the same dimension, the lesser dimensioned vector is assumed to have values of zero for the missing dimensions. The simplified formula of vector addition is: vector1 + vector2 == (x1, y1, z1) + (x2, y2, z2) = (x1 + x2, y1 + y2, z1 + z2) css#x|]\}}||VqWdS(N((RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ‚s(R R (Rtvl2((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__add__xs cCs;g}t||ƒD]\}}|||q~|_|S(sB Adds another vector to this one mathematically. If the vectors are not of the same dimension, the lesser dimensioned vector is assumed to have values of zero for the missing dimensions. The simplified formula of vector addition is: vector1 + vector2 == (x1, y1, z1) + (x2, y2, z2) = (x1 + x2, y1 + y2, z1 + z2) (R R(RR/RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__iadd__„s 7cCstd„t||ƒDƒƒS(s; Subtracts two vectors mathematically. If the vectors are not of the same dimension, the lesser dimensioned vector is assumed to have values of zero for the missing dimensions. The simplified formula of vector subtraction is: vector1 - vector2 == (x1, y1, z1) - (x2, y2, z2) = (x1 - x2, y1 - y2, z1 - z2) css#x|]\}}||VqWdS(N((RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ›s(R R (RR/((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__sub__‘s cCs;g}t||ƒD]\}}|||q~|_|S(sM Subtracts another vectors from this one mathematically. If the vectors are not of the same dimension, the lesser dimensioned vector is assumed to have values of zero for the missing dimensions. The simplified formula of vector subtraction is: vector1 - vector2 == (x1, y1, z1) - (x2, y2, z2) = (x1 - x2, y1 - y2, z1 - z2) (R R(RR/RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__isub__s 7csWyt|ˆƒ}Wn-tj o!t‡fd†|DƒƒSnXtd„|DƒƒS(s® Multiplies the vector by a scalar or by each component of another vector and returns the resulting vector. When used with a scalar, the length of the vector is multiplied with the scalar while retaining the direction (unless the value is negative). The simplified formula of scalar multiplication is: vector * scalar == (x, y, z) * a = (x * a, y * a, z * a) When used with another vector (any sequence with numerical items is OK), the result is an uncommon vector resulted in multiplying the vectors by each component separately. The simplified formula for by-component vector multiplication is: vector1 * vector2 == (x1, y1, z1) * (x2, y2, z2) = (x1 * x2, y1 * y2, z1 * z2) c3sx|]}ˆ|VqWdS(N((RR(tvalue(sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ½scss#x|]\}}||VqWdS(N((RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ¾s(R RR (RR4ttestzip((R4sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__mul__ªs cCs†yAt||ƒ}g}|D]\}}|||q~|_Wn>tj o2x-t|ƒD]\}}||||êscss#x|]\}}||VqWdS(N((RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ës(R RR (RR4R5((R4sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__div__Øs csWyt|ˆƒ}Wn-tj o!t‡fd†|DƒƒSnXtd„|DƒƒS(sx Divides the vector by a scalar or by each component of another vector. When used with a scalar, the length of the vector is divided with the scalar while retaining the direction (unless the value is negative). The simplified formula of scalar division is: vector / scalar == (x, y, z) / a = (x / a, y / a, z / a) When used with another vector (any sequence with numerical items is OK), the result is an uncommon vector resulted in dividing the vectors by each component separately. The simplified formula for by-component vector division is: vector1 / vector2 == (x1, y1, z1) / (x2, y2, z2) = (x1 / x2, y1 / y2, z1 / z2) c3sx|]}|ˆVqWdS(N((RR(R4(sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys scss#x|]\}}||VqWdS(N((RRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys s(R RR (RR4R5((R4sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__idiv__îs cCset|tƒot|i|ƒSn=dit|ƒƒ}|djo|i|Sn |i|SdS(sÓ Returns the value of the specified vector component. Valid indexes are integer indexes < dimension of the vector and special keywords "x", "y" and "z" which resolve to indexes 0, 1 and 2 respectively. R&iN(t isinstancetsliceR RtfindR(RR8tsindex((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt __getitem__s  cCs’t|tƒo2g}|D]}|t|ƒq~|i|RRR?R(RR8R4RRR@((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt __setitem__s 2 cCs|i|=dS(s‚ Deletes a component off the vector. This reduces the dimension of the vector by 1 and reorders the adjacent components. N(R(RR8((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt __delitem__&scCs ||ijS(sC Tests if the given value is one of the vector components. (R(RR4((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt __contains__/scCs|i|ijS(s½ Test the equality of two vectors. The vectors are considered to be equal when they have the same number of components and all the respective components of both vectors are equal. (R(Rtvec2((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__eq__5scCs|i|ijS(sâ Test the inequality of two vectors. The vectors are considered to be equal when they have the same number of components and all the respective components of both vectors are equal. The vectors are inequal otherwise. (R(RRE((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__ne__>scCstd„|iDƒƒS(s³ Negates the vector. The negation happens by negating all of the components separately. The simplified formula of negating a vector: -vector == -(x, y, z) = (-x, -y, -z) cssx|] }| VqWdS(N((RR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys Ps(R R(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__neg__HscCs t|iƒS(sL Returns an iterator to loop through every component of the vector. (titerR(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt__iter__RscCs t|iƒS(sP Returns an iterator to loop through every component in reversed order. (treversedR(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt __reversed__XscCs t|iƒS(s0 Returns a new identical vector object. (R R(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytcopy^scCstd„t||ƒDƒƒS(s- Calculates the dot product (inner product with Cartesian space Spatial vectors). Also known as Scalar product, the definition of inner product is: a . b = |a|*|b|*cos(a,b) The simplified formula for dot product is: vector1.ip(vector2) == (x1, y1, z1) . (x2, y2, z2) = x1*x2 + y1*y2 + z1*z2 css#x|]\}}||VqWdS(N((Rtatb((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ns(tsumR (RRE((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytipds cCs—t|ƒdjpt|ƒdjo td‚nt|d|d|d|d|d|d|d|d|d|d|d|dƒS(s} Calculates the cross product of two three-dimensional vectors. The cross product is defined as: a x b = |a|*|b|*sin(a,b)*u where u is a unit vector pointing to a direction perpendicular to both vectors. In other words, the result is a vector that points to a direction perpendicular to both of the original vectors, creating a normal for the plane defined by the two vectors. The length of the resulting vector is equal to the area of a parallelogram created using those two vectors. The formula used here for cross product is: vector1.cp(vector 2) == (x1, y1, z1) x (x2, y2, z2) = (y1*z2-z1*y2, z1*x2-x1*z2, x1*y2-y1*x2) isECross product can only be calculated for vectors of three dimensions.iii(RRR (RRE((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytcpps & cCsWy1ti|i|ƒ|iƒti|ƒƒSWntj otdƒ‚nXdS(s: Calculates the angle between the two vectors in radians. s&Cannot calculate angle for zero vectorN(tmathtacosRQtlengthR tZeroDivisionError(RRE((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytangleˆs1cCsÖt|ƒdjpt|ƒdjo td‚nti|d|dƒti|d|dƒ}ti|d|dƒti|d|dƒ}ti|d|dƒti|d|dƒ}|||fS(s Creates projections of the two vectors to the three planes (xy, yz, xz) and calculates the angles between the projected vectors for each. The returned value is a three-tuple containing the values in following order: (yz, xz, xy). The returned angles are measured in radians. isGMultiple angles can only be calculated for vectors of three dimensions.iii(RRRStatan2(RREtaxtaytaz((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytangless & 222cCstd„|DƒƒdS(s© Returns the length/magnitude of the vector. The simplified formula of calculating a vector length is: length(vector) == |(x, y, z)| = sqrt(x**2 + y**2 + z**2) cssx|]}||VqWdS(N((RR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ¥sgà?(RP(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyRUžscCs|||iƒS(sT Returns a new vector that has the same direction but the specified length. (RU(Rt newlength((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt setlength§scCs |idƒS(sU x.normalize() Returns a new vector that is the vector x with length 1. i(R^(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt normalize­scCs |idƒS(i(RA(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt·scCs|id|ƒS(i(RB(RR4((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR`¸ss!X coordinate value of the vector.cCs |idƒS(i(RA(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR`¼scCs|id|ƒS(i(RB(RR4((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR`½ss!Y coordinate value of the vector.cCs |idƒS(i(RA(R((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR`ÁscCs|id|ƒS(i(RB(RR4((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR`Âss!Z coordinate value of the vector.N(+Rt __module__t__doc__R#R$R%R(R*R)R.R0R1R2R3R6t__rmul__R:R;t __truediv__R<t __itruediv__RARBRCRDRFRGRHRJRLRMRQRRRWR\RUR^R_tpropertytNoneRRR(((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyR sf                      cCst|ƒt|ƒiƒS(s* Returns the distance between two points. (R RU(tcoord1tcoord2((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytdistanceÈsgc Cs­|d|d}|d|d}|d|d}ti||ƒ}titi||ƒƒ }titi||ƒƒ}|djo|d7}n||t|ƒfS(sÓ Returns tuple (pitch, yaw, roll) showing in which direction coord2 is from coord1. The roll value cannot be determined by the vectors, so you will need to pass it as an optional parameter (defaults to 0). iiiih(RSthypottdegreesRXR( tv1tv2trolltheighttxltyltxylentpitchtyaw((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt viewanglesÌs cCs“t|ƒ}titi|dƒƒ }tid|dƒ}|titi|dƒƒ}|titi|dƒƒ}t|||fƒS(sl Creates a vector of undefined length pointing to the direction specified as (pitch, yaw, roll) object. iii(R RStsintradianstsqrttcos(tvatvanglesRRNRR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt viewvectorÝs    cCsud„t||ƒDƒ}d„t||ƒDƒ}x<|D]4}||iƒjp||iƒjotSq9q9WtS(sX Checks if a point is between a rectangular area specified by two opposite corners. cssx|]}t|ƒVqWdS(N(tmin(Rtcomps((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ìscssx|]}t|ƒVqWdS(N(R(RR((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pys ís(R tnexttFalsetTrue(twhattcorner1tcorner2tmin_itertmax_iterti((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt isbetweenRectès& cCs't|ƒ}t|ƒ}t|ƒ}||jp ||jotSn||jotSn|d|d|d|d|d|d|d|djo‡|d|d|d|d|d|d|d|djoB|d|d|d|d|d|d|d|djS(sE Checks if a point is truly between a segment created by two points. iii(R R‚R(RƒR„R…R+tc1tc2((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyt isbetweenVectós    EEc Cs“t|ƒ}t|ƒ}t|ƒ}||jotd|idƒ‚n||}||}|t||ƒt||ƒ}||} | iƒS(sI Returns the distance of point from a line specified by two coordinates. s.Identical points (%s) cannot form unique line.s, (R RR)RQRU( tpointt line_coord1t line_coord2tcRNROtptstttd((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytdistance_from_lines        c CsJt|ƒ}t|ƒ}t|ƒ}||jotd|idƒ‚n||}||}t||ƒ} | djoJ|p5td|idƒ|idƒ|idƒf‚n|iƒSnt||ƒ} | | joM|p5td|idƒ|idƒ|idƒf‚nt||ƒSn||| | } | iƒS(s« Returns the distance of point from a segment between start and end points. If allow_outside is False, then ValueError is raised if the point is outside the segment. s.Identical points (%s) cannot form unique line.s, is6Point (%s) is behind the starting point of (%s) - (%s)s4Point (%s) is behind the ending point of (%s) - (%s)(R RR)RQRURj( Rtstarttendt allow_outsideRRNROR‘R’tsptlpR”((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytdistance_from_segments,       / /c Csðt|ƒ}t|ƒ}t|ƒ}||jotd|idƒ‚n||}||}t||ƒ} | djoJ|p5td|idƒ|idƒ|idƒf‚n|iƒSnt||ƒ} ||| | } | iƒS(sà Returns the distance of "point" from a ray starting from "start" point and then continuing indefinitely passing "line_coord". If allow_outside is False, then ValueError is raised if the point is behind starting point. s.Identical points (%s) cannot form unique line.s, isDPoint (%s) is behind the starting point of the ray from (%s) by (%s)(R RR)RQRU( RR–t line_coordR˜RRNROR‘R’R™RšR”((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pytdistance_from_ray.s"       /(RSRR tobjectR RjRvR}R‰RŒR•R‚R›Rtvector(((sN/home/saberrider/srcds/css/cstrike/addons/eventscripts/_libs/python/vecmath.pyss ÿ©