Revision as of 21:40, 11 May 2013

Calc Add-ins

Quadratic function ax^2+bx+c=0

Proposed added function:

Given: equally spaced x values, x0 till xn and respective function values in two columns

 Simp13 = (x2-x0)*(f(x0)+4f(x1)+f(x2))/6

 Simp38 = (x3-x0)*(f(x0)+3f(x1)+3f(x2)+f(x3))/8

Six points n=5: Simpson's 1/3 rule on first three points and Simpson's 3/8 rule on last last four points

@@ Line 1: / Line 1: @@
-Function to return roots of quadratic equation (formerly bug 122171)<br />
+= Calc Add-ins =
-Numerical integration - Simpson's rules (formerly bug 122202)
+== Function to return roots of quadratic equation ==
+Formerly [https://issues.apache.org/ooo/show_bug.cgi?id=122171 bug 122171]
+Quadratic function ax^2+bx+c=0
+Proposed added function:
+* quadratic(a,b,c,1) will return (-b+sqrt(b^2-4ac))/(2a)
+* quadratic(a,b,c,2) will return (-b-sqrt(b^2-4ac))/(2a)
+== Numerical integration - Simpson's rules ==
+Formerly [https://issues.apache.org/ooo/show_bug.cgi?id=122202 bug 122202]
+Given: equally spaced x values, x0 till xn and respective function values in two columns
+* Three points n=2: Simpson's 1/3 ruleFunction
+  Simp13 = (x2-x0)*(f(x0)+4f(x1)+f(x2))/6
+* Four points n=3: Simpson's 3/8 ruleFunction
+  Simp38 = (x3-x0)*(f(x0)+3f(x1)+3f(x2)+f(x3))/8
+* Five points n=4: Simpson's 1/3 rule on first and last three points
+* Six points n=5: Simpson's 1/3 rule on first three points and Simpson's 3/8 rule on last last four points
+* etc.