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LP simplex bug #1914

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Karroch23 opened this issue Oct 8, 2023 · 8 comments
Open

LP simplex bug #1914

Karroch23 opened this issue Oct 8, 2023 · 8 comments

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@Karroch23
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What are you trying to do?

I need to use lp/simplex package to solve an LP problem.

What did you do?

I followed the api given in the document.

What did you expect to happen?

What actually happened?

Then, I got an error showing that the problem is infeasible.

What version of Go and Gonum are you using?

go 1.20
gonum.org/vz1/gonum v0.14.0

Does this issue reproduce with the current master?

Yes, it reproduces stably. The problem can be solved by python package scipy. I will give it in the attachments.
LP.txt

@Karroch23
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package path: gonum.org/v1/gonum/optimize/convex/lp

@kortschak
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Please include a link to a minimal reproducer here. Preferably this should be a complete runnable example at https://play.golang.org/.

@Karroch23
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@kortschak
Here is the minimal reproducer.
https://go.dev/play/p/8iuRrXy-HX9?v=goprev

@Karroch23
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`// You can edit this code!
// Click here and start typing.
package main

import (
"fmt"
"math"

"gonum.org/v1/gonum/mat"
"gonum.org/v1/gonum/optimize/convex/lp"

)

func main() {

c := []float64{10, 5, 7, 10, 10, 5, 20, 20, 20, 20, 7, 5, 10, 80, 80, 10, 5, 5, 80, 80, 10, 80, 10, 7, 10, 10, 80, 7, 10, 20, 10, 7, 10, 7, 10, 15, 10, 10, 80, 10, 5, 7, 5, 10, 20, 10, 5, 10, 80, 80, 5, 10, 7, 7, 10, 5, 7}
b := []float64{38, 5, 2, 33, 28, 14, 2, 48, 8, 133, 117, 34, 48, 20, 16, 50, 30, 75, 10, 40, 6, 70, 10, 5, 167, 13, 2, 118, 12, 98, 67, 157, 55, 2, 4, 4, 25, 4}
h := []float64{3370, 1031, 2350, 2289, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
var_cnt := 57
fmt.Printf("SimplexModerator var_cnt: %v", var_cnt)

Gbuf := []float64{1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 8, 1, 0, 0, 8, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 8, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 1, 0, 0, 1, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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G := mat.NewDense(6+var_cnt, var_cnt, Gbuf)

Abuf := []float64{1, 0.95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.95, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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A := mat.NewDense(38, var_cnt, Abuf)

tol := 0.1
cNew, aNew, bNew := lp.Convert(c, G, h, A, b)
opt, xNew, lp_err := lp.Simplex(cNew, aNew, bNew, tol, nil)

if lp_err != nil {
	fmt.Printf("LP error: %v", lp_err)
	// return
} else {
	fmt.Printf("LP Success.")
	fmt.Printf("%v", opt)

	x := make([]float64, var_cnt)
	for i := 0; i < var_cnt; i++ {
		x[i] = math.RoundToEven(xNew[i] - xNew[i+var_cnt])
	}
	fmt.Printf("%v", x)
}

}
`

@Karroch23
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The attachment file LP.txt is actually a copy of python code. It uses scipy.optimize.linprog and is able to solve the problem. You may try that. @kortschak

@Karroch23
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cc @btracey

@Karroch23
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@kortschak Hello, did you get any more information from the reproducer?

@kortschak
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I was triaging. It's unlikely that I will work on this particular bug as it is not in my field of expertise. We will get to it when we can.

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