diagrams-solve-0.1.3.1: Pure Haskell solver routines used by diagrams

Copyright | (c) 2011-2015 diagrams-solve team (see LICENSE)
License | BSD-style (see LICENSE)
Maintainer | diagrams-discuss@googlegroups.com
Safe Haskell | Safe-Inferred
Language | Haskell2010

Diagrams.Solve.Polynomial

Description

Exact solving of low-degree (n <= 4) polynomials.

Synopsis

- quadForm :: (Floating d, Ord d) => d -> d -> d -> [d]
- cubForm :: (Floating d, Ord d) => d -> d -> d -> d -> [d]
- quartForm :: (Floating d, Ord d) => d -> d -> d -> d -> d -> [d]
- cubForm' :: (Floating d, Ord d) => d -> d -> d -> d -> d -> [d]
- quartForm' :: (Floating d, Ord d) => d -> d -> d -> d -> d -> d -> [d]

# Documentation

quadForm :: (Floating d, Ord d) => d -> d -> d -> [d] Source #

The quadratic formula.

cubForm :: (Floating d, Ord d) => d -> d -> d -> d -> [d] Source #

Solve the cubic equation ax^3 + bx^2 + cx + d = 0, returning a list of all real roots within 1e-10 tolerance (although currently it's closer to 1e-5)

quartForm :: (Floating d, Ord d) => d -> d -> d -> d -> d -> [d] Source #

Solve the quartic equation c4 x^4 + c3 x^3 + c2 x^2 + c1 x + c0 = 0, returning a list of all real roots within 1e-10 tolerance (although currently it's closer to 1e-5)

cubForm' :: (Floating d, Ord d) => d -> d -> d -> d -> d -> [d] Source #

Solve the cubic equation ax^3 + bx^2 + cx + d = 0, returning a list of all real roots. First argument is tolerance.

quartForm' :: (Floating d, Ord d) => d -> d -> d -> d -> d -> d -> [d] Source #

Solve the quartic equation c4 x^4 + c3 x^3 + c2 x^2 + c1 x + c0 = 0, returning a list of all real roots. First argument is tolerance.