math ¶This module extends Asymptote’s mathematical capabilities with
useful functions such as
void drawline(picture pic=currentpicture, pair P, pair Q, pen p=currentpen); ¶draw the visible portion of the (infinite) line going through
P and Q, without altering the size of picture pic,
using pen p.
real intersect(triple P, triple Q, triple n, triple Z); ¶returns the intersection time of the extension of the line segment PQ
with the plane perpendicular to n and passing through Z.
triple intersectionpoint(triple n0, triple P0, triple n1, triple P1); ¶Return any point on the intersection of the two planes with normals
n0 and n1 passing through points P0 and P1,
respectively. If the planes are parallel, return
(infinity,infinity,infinity).
pair[] quarticroots(real a, real b, real c, real d, real e); ¶returns the four complex roots of the quartic equation ax^4+bx^3+cx^2+dx+e=0.
real time(path g, real x, int n=0, real fuzz=-1) ¶returns the nth intersection time of path g with the vertical
line through x.
real time(path g, explicit pair z, int n=0, real fuzz=-1) ¶returns the nth intersection time of path g with the horizontal
line through (0,z.y).
real value(path g, real x, int n=0, real fuzz=-1) ¶returns the nth y value of g at x.
real value(path g, explicit pair z, int n=0, real fuzz=-1) ¶returns the nth x value of g at y=z.y.
real slope(path g, real x, int n=0, real fuzz=-1) ¶returns the nth slope of g at x.
real slope(path g, explicit pair z, int n=0, real fuzz=-1) ¶returns the nth slope of g at y=z.y.
int[][] segment(bool[] b)
returns the indices of consecutive true-element segments of bool[] b.
real[] partialsum(real[] a) ¶returns the partial sums of a real array a.
real[] partialsum(real[] a, real[] dx) ¶returns the partial dx-weighted sums of a real array a.
bool increasing(real[] a, bool strict=false) ¶returns, if strict=false, whether i > j implies
a[i] >= a[j], or if strict=true, whether i > j implies
implies a[i] > a[j].
int unique(real[] a, real x) ¶if the sorted array a does not contain x, insert it
sequentially, returning the index of x in the resulting array.
bool lexorder(pair a, pair b) ¶returns the strict lexicographical partial order of a and b.
bool lexorder(triple a, triple b) ¶returns the strict lexicographical partial order of a and b.