mirror of
https://github.com/gonum/gonum.git
synced 2025-10-09 09:00:38 +08:00
b10f3a00f3
This is an API breaking change. NewDense now panics if len(mat) != r*c, unless mat == nil. When mat is nil a new, correctly sized slice is allocated.
103 lines
2.1 KiB
Go
103 lines
2.1 KiB
Go
// Copyright ©2013 The gonum Authors. All rights reserved.
|
|
// Use of this source code is governed by a BSD-style
|
|
// license that can be found in the LICENSE file.
|
|
|
|
package mat64
|
|
|
|
import (
|
|
check "launchpad.net/gocheck"
|
|
"math"
|
|
)
|
|
|
|
func (s *S) TestEigen(c *check.C) {
|
|
for _, t := range []struct {
|
|
a *Dense
|
|
|
|
epsilon float64
|
|
|
|
e, d []float64
|
|
v *Dense
|
|
}{
|
|
{
|
|
a: NewDense(3, 3, []float64{
|
|
1, 2, 1,
|
|
6, -1, 0,
|
|
-1, -2, -1,
|
|
}),
|
|
|
|
epsilon: math.Pow(2, -52.0),
|
|
|
|
d: []float64{3.0000000000000044, -4.000000000000003, -1.0980273383714707e-16},
|
|
e: []float64{0, 0, 0},
|
|
v: NewDense(3, 3, []float64{
|
|
-0.48507125007266627, 0.41649656391752204, 0.11785113019775795,
|
|
-0.7276068751089995, -0.8329931278350428, 0.7071067811865481,
|
|
0.48507125007266627, -0.4164965639175216, -1.5320646925708532,
|
|
}),
|
|
},
|
|
{
|
|
a: NewDense(3, 3, []float64{
|
|
1, 6, -1,
|
|
6, -1, -2,
|
|
-1, -2, -1,
|
|
}),
|
|
|
|
epsilon: math.Pow(2, -52.0),
|
|
|
|
d: []float64{-6.240753470718579, -1.3995889142010132, 6.640342384919599},
|
|
e: []float64{0, 0, 0},
|
|
v: NewDense(3, 3, []float64{
|
|
-0.6134279348516111, -0.31411097261113, -0.7245967607083111,
|
|
0.7697297716508223, -0.03251534945303795, -0.6375412384185983,
|
|
0.17669818159240022, -0.9488293044247931, 0.2617263908869383,
|
|
}),
|
|
},
|
|
{ // Jama pvals
|
|
a: NewDense(3, 3, []float64{
|
|
4, 1, 1,
|
|
1, 2, 3,
|
|
1, 3, 6,
|
|
}),
|
|
|
|
epsilon: math.Pow(2, -52.0),
|
|
},
|
|
{ // Jama evals
|
|
a: NewDense(4, 4, []float64{
|
|
0, 1, 0, 0,
|
|
1, 0, 2e-7, 0,
|
|
0, -2e-7, 0, 1,
|
|
0, 0, 1, 0,
|
|
}),
|
|
|
|
epsilon: math.Pow(2, -52.0),
|
|
},
|
|
{ // Jama badeigs
|
|
a: NewDense(5, 5, []float64{
|
|
0, 0, 0, 0, 0,
|
|
0, 0, 0, 0, 1,
|
|
0, 0, 0, 1, 0,
|
|
1, 1, 0, 0, 1,
|
|
1, 0, 1, 0, 1,
|
|
}),
|
|
|
|
epsilon: math.Pow(2, -52.0),
|
|
},
|
|
} {
|
|
ef := Eigen(DenseCopyOf(t.a), t.epsilon)
|
|
if t.d != nil {
|
|
c.Check(ef.d, check.DeepEquals, t.d)
|
|
}
|
|
if t.e != nil {
|
|
c.Check(ef.e, check.DeepEquals, t.e)
|
|
}
|
|
|
|
if t.v != nil {
|
|
c.Check(ef.V.Equals(t.v), check.Equals, true)
|
|
}
|
|
|
|
t.a.Mul(t.a, ef.V)
|
|
ef.V.Mul(ef.V, ef.D())
|
|
c.Check(t.a.EqualsApprox(ef.V, 1e-12), check.Equals, true)
|
|
}
|
|
}
|