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#108 Implement elliptic integrals

v1.0.x
closed
Erik Hänel
None
v1.0.9
New Functionality
2016-09-26
2016-09-13
Erik Hänel
No

Implement the numerical results for the four incomplete elliptic integrals obtained from GSL.

Analysis:
GSL offers the needed functions for implementing the incomplete elliptic integrals. They only have to be declared to the parser.

Implementation:
Elliptic Integrals were implemented as obtained from GSL with limitation 0 <= k < 1 and 0 <= phi <= pi/2:

ellipticF(x,k)
ellipticE(x,k)
ellipticPi(x,n,k)
ellipticD(x,n,k)

Documentation:
New functions were added to the language files and to the search database.

Tests:
Productive tests were passed. Elliptic integrals implemented successfully.

Discussion

  • Erik Hänel

    Erik Hänel - 2016-09-13
    • status: open --> accepted
     

  • Erik Hänel

    Erik Hänel - 2016-09-13
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -1 +1,9 @@
 Implement the numerical results for the four incomplete elliptic integrals obtained from GSL.
+
+**Analysis:**
+
+**Implementation:**
+
+**Documentation:**
+
+**Tests:**
    • status: accepted --> analyzing
     

  • Erik Hänel

    Erik Hänel - 2016-09-13
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -1,6 +1,7 @@
 Implement the numerical results for the four incomplete elliptic integrals obtained from GSL.

 **Analysis:**
+GSL offers the needed functions for implementing the incomplete elliptic integrals. They only have to be declared to the parser.

 **Implementation:**
    • status: analyzing --> implementing
     

  • Erik Hänel

    Erik Hänel - 2016-09-14
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -4,7 +4,15 @@
 GSL offers the needed functions for implementing the incomplete elliptic integrals. They only have to be declared to the parser.

 **Implementation:**
+Elliptic Integrals were implemented as obtained from GSL with limitation 0 <= k < 1 and 0 <= phi <= pi/2:
+~~~
+ellipticF(x,k)
+ellipticE(x,k)
+ellipticPi(x,n,k)
+ellipticD(x,n,k)
+~~~

 **Documentation:**
+New functions were added to the language files and to the search database.

 **Tests:**
    • status: implementing --> testing
     

  • Erik Hänel

    Erik Hänel - 2016-09-26
    • Description has changed:

    Diff:

    --- old
+++ new
@@ -16,3 +16,4 @@
 New functions were added to the language files and to the search database.

 **Tests:**
+Productive tests were passed. Elliptic integrals implemented successfully.
    • status: testing --> closed
     

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