repl.txt (1687B)
1 2 {{alias}}( x, a, b, c ) 3 Evaluates the probability density function (PDF) for a triangular 4 distribution with minimum support `a`, maximum support `b`, and mode `c` at 5 a value `x`. 6 7 If the condition `a <= c <= b` is not satisfied, the function returns `NaN`. 8 9 If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`. 10 11 Parameters 12 ---------- 13 x: number 14 Input value. 15 16 a: number 17 Minimum support. 18 19 b: number 20 Maximum support. 21 22 c: number 23 Mode. 24 25 Returns 26 ------- 27 out: number 28 Evaluated PDF. 29 30 Examples 31 -------- 32 > var y = {{alias}}( 0.5, -1.0, 1.0, 0.0 ) 33 0.5 34 > y = {{alias}}( 0.5, -1.0, 1.0, 0.5 ) 35 1.0 36 > y = {{alias}}( -10.0, -20.0, 0.0, -2.0 ) 37 ~0.056 38 > y = {{alias}}( -2.0, -1.0, 1.0, 0.0 ) 39 0.0 40 > y = {{alias}}( NaN, 0.0, 1.0, 0.5 ) 41 NaN 42 > y = {{alias}}( 0.0, NaN, 1.0, 0.5 ) 43 NaN 44 > y = {{alias}}( 0.0, 0.0, NaN, 0.5 ) 45 NaN 46 > y = {{alias}}( 2.0, 1.0, 0.0, NaN ) 47 NaN 48 > y = {{alias}}( 2.0, 1.0, 0.0, 1.5 ) 49 NaN 50 51 52 {{alias}}.factory( a, b, c ) 53 Returns a function for evaluating the probability density function (PDF) of 54 a triangular distribution with minimum support `a`, maximum support `b`, and 55 mode `c`. 56 57 Parameters 58 ---------- 59 a: number 60 Minimum support. 61 62 b: number 63 Maximum support. 64 65 c: number 66 Mode. 67 68 Returns 69 ------- 70 pdf: Function 71 Probability density function (PDF). 72 73 Examples 74 -------- 75 > var mypdf = {{alias}}.factory( 0.0, 10.0, 5.0 ); 76 > var y = mypdf( 2.0 ) 77 0.08 78 > y = mypdf( 12.0 ) 79 0.0 80 81 See Also 82 -------- 83 84