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simp_test.go
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package symexpr
import (
"testing"
"fmt"
"math"
)
func Test_SimpLeafs(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Leafs ")
var rules = DefaultRules()
t := NewTime()
t_simp := t.Simplify(rules)
if t != t_simp {
TEST.Fatalf("FAIL Time: t != t_simp ~ %v -> %v", t, t_simp)
} else {
TEST.Logf("Time Simp: %v -> %v", t, t_simp)
}
v := NewVar(0)
v_simp := v.Simplify(rules)
if v != v_simp {
TEST.Fatalf("FAIL Var: v != v_simp ~ %v ->%v", v, v_simp)
} else {
TEST.Logf("Var Simp: %v -> %v", v, v_simp)
}
c := NewConstant(0)
c_simp := c.Simplify(rules)
if c != c_simp {
TEST.Fatalf("FAIL Constant: c != c_simp ~ %v -> %v", c, c_simp)
} else {
TEST.Logf("Constant Simp %v -> %v", c, c_simp)
}
s := NewSystem(0)
s_simp := s.Simplify(rules)
if s != s_simp {
TEST.Fatalf("FAIL System: s != s_simp ~ %v -> %v", s, s_simp)
} else {
TEST.Logf("System Simp: %v -> %v", s, s_simp)
}
f := NewConstantF(3.141529)
f_simp := f.Simplify(rules)
if f != f_simp {
TEST.Fatalf("FAIL ConstantF: f != f_simp ~ %v -> %v", f, f_simp)
} else {
TEST.Logf("ConstantF Simp: %v -> %v", f, f_simp)
}
n := NewConstantF(math.NaN())
n_simp := n.Simplify(rules)
if n_simp != nil {
TEST.Fatalf("FAIL NaN: n_simp != nil ~ %v -> %v", n, n_simp)
} else {
TEST.Logf("NaN Simp: %v -> %v", n, n_simp)
}
i := NewConstantF(math.Inf(1))
i_simp := i.Simplify(rules)
if i_simp != nil {
TEST.Fatalf("FAIL Inf: i == i_simp ~ %v -> %v", i, i_simp)
} else {
TEST.Logf("Inf Simp: %v -> %v", i, i_simp)
}
fmt.Printf("Passed\n")
}
func Test_SimpNeg(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Neg ")
var rules = DefaultRules()
nn := NewNeg(nil)
nn_simp := nn.Simplify(rules)
if nn_simp != nil {
TEST.Fatalf("FAIL NegNil: nn_simp != nil ~ %v -> %v", nn, nn_simp)
} else {
TEST.Logf("NegNil: %v -> %v", nn, nn_simp)
}
nl := NewNeg(NewNull())
nl_simp := nl.Clone().Simplify(rules)
if nl_simp != nil {
TEST.Fatalf("FAIL NegNull: nn_simp != Null ~ %v -> %v", nl, nl_simp)
} else {
TEST.Logf("NegNull: %v -> %v", nl, nl_simp)
}
nv := NewNeg(NewVar(0))
nv_simp := nv.Simplify(rules)
if nv != nv_simp {
TEST.Fatalf("FAIL NegVar: nv != nv_simp ~ %v -> %v", nv, nv_simp)
} else {
TEST.Logf("NegVar: %v -> %v", nv, nv_simp)
}
c := NewConstant(0)
nc := NewNeg(c)
nc_simp := nc.Clone().Simplify(rules)
if !c.AmISame(nc_simp) {
TEST.Fatalf("FAIL NegConst: c != nc_simp ~ %v -> %v", nc, nc_simp)
} else {
TEST.Logf("NegConst: %v -> %v", nc, nc_simp)
}
m := NewMul()
m.Insert(NewVar(0))
m.Insert(NewConstant(0))
nm := NewNeg(m)
nm_simp := nm.Clone().Simplify(rules)
if !nm_simp.AmISame(m) {
TEST.Fatalf("FAIL NegMul: m != nm_simp ~ %v -> %v", nm, nm_simp)
} else {
TEST.Logf("NegMul: %v -> %v", nm, nm_simp)
}
fmt.Printf("Passed\n")
}
func Test_SimpAbs(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Abs ")
var rules = DefaultRules()
nn := NewAbs(nil)
nn_simp := nn.Clone().Simplify(rules)
if nn_simp != nil {
TEST.Fatalf("FAIL AbsNil: nn_simp != nil ~ %v -> %v", nn, nn_simp)
} else {
TEST.Logf("AbsNil: %v -> %v", nn, nn_simp)
}
nl := NewAbs(NewNull())
nl_simp := nl.Clone().Simplify(rules)
if nl_simp != nil {
TEST.Fatalf("FAIL AbsNull: nn_simp != Null ~ %v -> %v", nl, nl_simp)
} else {
TEST.Logf("AbsNull: %v -> %v", nl, nl_simp)
}
nv := NewAbs(NewVar(0))
nv_simp := nv.Simplify(rules)
if !nv.AmISame(nv_simp) {
TEST.Fatalf("FAIL AbsVar: nv != nv_simp ~ %v -> %v", nv, nv_simp)
} else {
TEST.Logf("AbsVar: %v -> %v", nv, nv_simp)
}
c := NewConstant(0)
nc := NewAbs(c)
nc_simp := nc.Simplify(rules)
if !nc.AmISame(nc_simp) {
TEST.Fatalf("FAIL AbsConst: c != nc_simp ~ %v -> %v", nc, nc_simp)
} else {
TEST.Logf("AbsConst: %v -> %v", nc, nc_simp)
}
m := NewMul()
m.Insert(NewVar(0))
m.Insert(NewConstant(0))
nm := NewAbs(m)
nm_simp := nm.Simplify(rules)
if !nm_simp.AmISame(nm) {
TEST.Fatalf("FAIL AbsMul: m != nm_simp ~ %v -> %v", nm, nm_simp)
} else {
TEST.Logf("AbsMul: %v -> %v", nm, nm_simp)
}
fmt.Printf("Passed\n")
}
func Test_SimpSqrt(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Sqrt ")
var rules = DefaultRules()
nn := NewSqrt(nil)
nn_simp := nn.Clone().Simplify(rules)
if nn_simp != nil {
TEST.Fatalf("FAIL SqrtNil: nn_simp != nil ~ %v -> %v", nn, nn_simp)
} else {
TEST.Logf("SqrtNil: %v -> %v", nn, nn_simp)
}
nl := NewSqrt(NewNull())
nl_simp := nl.Clone().Simplify(rules)
if nl_simp != nil {
TEST.Fatalf("FAIL SqrtNull: nn_simp != Null ~ %v -> %v", nl, nl_simp)
} else {
TEST.Logf("SqrtNull: %v -> %v", nl, nl_simp)
}
ns := NewSqrt(NewSqrt(NewVar(0)))
ns_simp := ns.Clone().Simplify(rules)
ns_corr := NewPowF(NewVar(0), 0.25)
if !ns_simp.AmISame(ns_corr) {
TEST.Fatalf("FAIL SqrtSqrt: ns_simp != ns_corr ~ %v -> %v == %v", ns, ns_simp, ns_corr)
} else {
TEST.Logf("SqrtSqrt: %v -> %v", ns, ns_simp)
}
c := NewConstant(0)
nc := NewSqrt(c)
nc_simp := nc.Clone().Simplify(rules)
if !c.AmISame(nc_simp) {
TEST.Fatalf("FAIL SqrtConst: c != nc_simp ~ %v -> %v", nc, nc_simp)
} else {
TEST.Logf("SqrtConst: %v -> %v", nc, nc_simp)
}
nf := NewSqrt(NewPowF(NewVar(0), 3.14))
nf_simp := nf.Clone().Simplify(rules)
nf_corr := NewPowF(NewVar(0), 3.14/2.0)
if !nf_simp.AmISame(nf_corr) {
TEST.Fatalf("FAIL SqrtPowF: nf_simp != nf_corr ~ %v -> %v == %v", nf, nf_simp, nf_corr)
} else {
TEST.Logf("SqrtPowF: %v -> %v", nf, nf_simp)
}
ni1 := NewSqrt(NewPowI(NewVar(0), 1))
ni1_simp := ni1.Clone().Simplify(rules)
ni1_corr := NewSqrt(NewVar(0))
if !ni1_simp.AmISame(ni1_corr) {
TEST.Fatalf("FAIL SqrtPowI(ni1): ni1_simp != ni1_corr ~ %v -> %v == %v", ni1, ni1_simp, ni1_corr)
} else {
TEST.Logf("SqrtPowI(ni1): %v -> %v", ni1, ni1_simp)
}
// ni1n := NewSqrt(NewPowI(NewVar(0),-1))
// ni1n_simp := ni1n.Clone().Simplify(rules)
// ni1n_corr := NewSqrt(NewVar(0))
// if !ni1n_simp.AmISame(ni1n_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(ni1n): ni1n_simp != ni1n_corr ~ %v -> %v == %v", ni1n,ni1n_simp, ni1n_corr )
// } else {
// TEST.Logf( "SqrtPowI(ni1n): %v -> %v", ni1n,ni1n_simp )
// }
//
// ni2 := NewSqrt(NewPowI(NewVar(0),2))
// ni2_simp := ni2.Clone().Simplify(rules)
// ni2_corr := NewSqrt(NewVar(0))
// if !ni2_simp.AmISame(ni2_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(ni2): ni2_simp != ni2_corr ~ %v -> %v == %v", ni2,ni2_simp, ni2_corr )
// } else {
// TEST.Logf( "SqrtPowI(ni2): %v -> %v", ni2,ni2_simp )
// }
//
// ni2n := NewSqrt(NewPowI(NewVar(0),-2))
// ni2n_simp := ni2n.Clone().Simplify(rules)
// ni2n_corr := NewSqrt(NewVar(0))
// if !ni2n_simp.AmISame(ni2n_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(ni2n): ni2n_simp != ni2n_corr ~ %v -> %v == %v", ni2n,ni2n_simp, ni2n_corr )
// } else {
// TEST.Logf( "SqrtPowI(ni2n): %v -> %v", ni2n,ni2n_simp )
// }
//
// niOdd := NewSqrt(NewPowI(NewVar(0),3))
// niOdd_simp := niOdd.Clone().Simplify(rules)
// niOdd_corr := NewSqrt(NewVar(0))
// if !niOdd_simp.AmISame(niOdd_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(niOdd): niOdd_simp != niOdd_corr ~ %v -> %v == %v", niOdd,niOdd_simp, niOdd_corr )
// } else {
// TEST.Logf( "SqrtPowI(niOdd): %v -> %v", niOdd,niOdd_simp )
// }
//
// niOddn := NewSqrt(NewPowI(NewVar(0),-3))
// niOddn_simp := niOddn.Clone().Simplify(rules)
// niOddn_corr := NewSqrt(NewVar(0))
// if !niOddn_simp.AmISame(niOddn_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(niOddn): niOddn_simp != niOddn_corr ~ %v -> %v == %v", niOddn,niOddn_simp, niOddn_corr )
// } else {
// TEST.Logf( "SqrtPowI(niOddn): %v -> %v", niOddn,niOddn_simp )
// }
//
// ni2N := NewSqrt(NewPowI(NewVar(0),4))
// ni2N_simp := ni2N.Clone().Simplify(rules)
// ni2N_corr := NewSqrt(NewVar(0))
// if !ni2N_simp.AmISame(ni2N_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(ni2N): ni2N_simp != ni2N_corr ~ %v -> %v == %v", ni2N,ni2N_simp, ni2N_corr )
// } else {
// TEST.Logf( "SqrtPowI(ni2N): %v -> %v", ni2N,ni2N_simp )
// }
//
// ni2Nn := NewSqrt(NewPowI(NewVar(0),-4))
// ni2Nn_simp := ni2Nn.Clone().Simplify(rules)
// ni2Nn_corr := NewSqrt(NewVar(0))
// if !ni2Nn_simp.AmISame(ni2Nn_corr) {
// TEST.Fatalf( "FAIL SqrtPowI(ni2Nn): ni2Nn_simp != ni2Nn_corr ~ %v -> %v == %v", ni2Nn,ni2Nn_simp, ni2Nn_corr )
// } else {
// TEST.Logf( "SqrtPowI(ni2Nn): %v -> %v", ni2Nn,ni2Nn_simp )
// }
//
//
// the following should not change
nv := NewSqrt(NewVar(0))
nv_simp := nv.Simplify(rules)
if nv != nv_simp {
TEST.Fatalf("FAIL SqrtVar: nv != nv_simp ~ %v -> %v", nv, nv_simp)
} else {
TEST.Logf("SqrtVar: %v -> %v", nv, nv_simp)
}
m := NewMul()
m.Insert(NewVar(0))
m.Insert(NewConstant(0))
nm := NewSqrt(m)
nm_simp := nm.Simplify(rules)
if nm_simp != nm {
TEST.Fatalf("FAIL SqrtMul: nm != nm_simp ~ %v -> %v", nm, nm_simp)
} else {
TEST.Logf("SqrtMul: %v -> %v", nm, nm_simp)
}
fmt.Printf("Passed\n")
}
func Test_SimpAdd(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Add ")
var rules = DefaultRules()
an := NewAdd()
an.Insert(nil)
an_simp := an.Clone().Simplify(rules)
if an_simp != nil {
TEST.Fatalf("FAIL AddNil: an_simp != nil ~ %v -> %v", an, an_simp)
} else {
TEST.Logf("AddNil: %v -> %v", an, an_simp)
}
al := NewAdd()
al.Insert(NewNull())
al_simp := al.Clone().Simplify(rules)
if al_simp != nil {
TEST.Fatalf("FAIL AddNull: nn_simp != Null ~ %v -> %v", al, al_simp)
} else {
TEST.Logf("AddNull: %v -> %v", al, al_simp)
}
as := NewAdd()
as.Insert(NewVar(0))
as_simp := as.Clone().Simplify(rules)
as_corr := NewVar(0)
if !as_simp.AmISame(as_corr) {
TEST.Fatalf("FAIL AddVar: as_simp != as_corr ~ %v -> %v == %v", as, as_simp, as_corr)
} else {
TEST.Logf("AddVar: %v -> %v", as, as_simp)
}
c := NewConstant(0)
ac := NewAdd()
ac.Insert(c)
ac_simp := ac.Clone().Simplify(rules)
if !c.AmISame(ac_simp) {
TEST.Fatalf("FAIL AddConst: c != ac_simp ~ %v -> %v", ac, ac_simp)
} else {
TEST.Logf("AddConst: %v -> %v", ac, ac_simp)
}
// x + y
A1 := NewAdd()
A1.Insert(NewVar(0))
A1.Insert(NewVar(1))
// A1.CS[0], A1.CS[1] = A1.CS[1], A1.CS[0]
A1_simp := A1.Clone().Simplify(rules)
A1_corr := A1.Clone()
if !A1_simp.AmISame(A1_corr) {
TEST.Fatalf("FAIL Add_A1: A1_simp != A1_corr ~ %v -> %v == %v", A1, A1_simp, A1_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A1, A1_simp)
}
// x + x
A2 := NewAdd()
A2.Insert(NewVar(0))
A2.Insert(NewVar(0))
A2_simp := A2.Clone().Simplify(rules)
A2_corr := NewMul()
A2_corr.Insert(NewConstant(0))
A2_corr.Insert(NewVar(0))
if !A2_simp.AmISame(A2_corr) {
TEST.Fatalf("FAIL Add_A2: A2_simp != A2_corr ~ %v -> %v == %v", A2, A2_simp, A2_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A2, A2_simp)
}
// x + x + y
A3 := NewAdd()
A3.Insert(NewVar(0))
A3.Insert(NewVar(0))
A3.Insert(NewVar(1))
A3_simp := A3.Clone().Simplify(rules)
A3_corr := NewAdd()
A3m := NewMul()
A3m.Insert(NewConstant(0))
A3m.Insert(NewVar(0))
A3_corr.Insert(A3m)
A3_corr.Insert(NewVar(1))
if !A3_simp.AmISame(A3_corr) {
TEST.Fatalf("FAIL Add_A3: A3_simp != A3_corr ~ %v -> %v == %v", A3, A3_simp, A3_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A3, A3_simp)
}
// x + ( x + y )
A4 := NewAdd()
A4.Insert(NewVar(0))
A4b := NewAdd()
A4b.Insert(NewVar(0))
A4b.Insert(NewVar(1))
A4.Insert(A4b)
A4_simp := A4.Clone().Simplify(rules)
A4_corr := NewAdd()
A4m := NewMul()
A4m.Insert(NewConstant(0))
A4m.Insert(NewVar(0))
A4_corr.Insert(A4m)
A4_corr.Insert(NewVar(1))
if !A4_simp.AmISame(A4_corr) {
TEST.Fatalf("FAIL Add_A4: A4_simp != A4_corr ~ %v -> %v == %v", A4, A4_simp, A4_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A4, A4_simp)
}
// F(x) + F(x)
// x^2 + x^2
A5 := NewAdd()
A5.Insert(NewPowI(NewVar(0), 2))
A5.Insert(NewPowI(NewVar(0), 2))
A5_simp := A5.Clone().Simplify(rules)
A5_corr := NewMul()
A5_corr.Insert(NewConstant(0))
A5_corr.Insert(NewPowI(NewVar(0), 2))
if !A5_simp.AmISame(A5_corr) {
TEST.Fatalf("FAIL Add_A5: A5_simp != A5_corr ~ %v -> %v == %v", A5, A5_simp, A5_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A5, A5_simp)
}
// cF(x) + dF(x)
// cx^3.14 + dx^3.15
A6 := NewAdd()
A6m1 := NewMul()
A6m2 := NewMul()
A6m1.Insert(NewConstant(0))
A6m1.Insert(NewPowF(NewVar(0), 3.14))
A6m2.Insert(NewConstant(0))
A6m2.Insert(NewPowF(NewVar(0), 3.14))
A6.Insert(A6m1)
A6.Insert(A6m2)
A6_simp := A6.Clone().Simplify(rules)
A6_corr := NewMul()
A6_corr.Insert(NewConstant(0))
A6_corr.Insert(NewPowF(NewVar(0), 3.14))
if !A6_simp.AmISame(A6_corr) {
TEST.Fatalf("FAIL Add_A6: A6_simp != A6_corr ~ %v -> %v == %v", A6, A6_simp, A6_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A6, A6_simp)
}
// cF(x) + F(x)
// cExp(x) + Exp(x)
A7 := NewAdd()
A7m1 := NewMul()
A7m1.Insert(NewConstant(0))
A7m1.Insert(NewExp(NewVar(0)))
A7.Insert(A7m1)
A7.Insert(NewExp(NewVar(0)))
A7_simp := A7.Clone().Simplify(rules)
A7_corr := NewMul()
A7_corr.Insert(NewConstant(0))
A7_corr.Insert(NewExp(NewVar(0)))
if !A7_simp.AmISame(A7_corr) {
TEST.Fatalf("FAIL Add_A7: A7_simp != A7_corr ~ %v -> %v == %v", A7, A7_simp, A7_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A7, A7_simp)
}
// F(x) + cF(x)
// sin(x) + csin(x)
A8 := NewAdd()
A8m2 := NewMul()
A8m2.Insert(NewConstant(0))
A8m2.Insert(NewSin(NewVar(0)))
A8.Insert(NewSin(NewVar(0)))
A8.Insert(A8m2)
A8_simp := A8.Clone().Simplify(rules)
A8_corr := NewMul()
A8_corr.Insert(NewConstant(0))
A8_corr.Insert(NewSin(NewVar(0)))
if !A8_simp.AmISame(A8_corr) {
TEST.Fatalf("FAIL Add_A8: A8_simp != A8_corr ~ %v -> %v == %v", A8, A8_simp, A8_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A8, A8_simp)
}
// F(x) - F(x)
// x - x
A9 := NewAdd()
A9.Insert(NewVar(0))
A9.Insert(NewNeg(NewVar(0)))
A9_simp := A9.Clone().Simplify(rules)
A9_corr := NewMul()
A9_corr.Insert(NewConstant(0))
A9_corr.Insert(NewVar(0))
if !A9_simp.AmISame(A9_corr) {
TEST.Fatalf("FAIL Add_A9: A9_simp != A9_corr ~ %v -> %v == %v", A9, A9_simp, A9_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A9, A9_simp)
}
// x + (-x+y)
A10 := NewAdd()
A10.Insert(NewVar(0))
A10b := NewAdd()
A10b.Insert(NewNeg(NewVar(0)))
A10b.Insert(NewVar(1))
A10.Insert(A10b)
A10_simp := A10.Clone().Simplify(rules)
A10_corr := NewAdd()
A10m := NewMul()
A10m.Insert(NewConstant(0))
A10m.Insert(NewVar(0))
A10_corr.Insert(A10m)
A10_corr.Insert(NewVar(1))
if !A10_simp.AmISame(A10_corr) {
TEST.Fatalf("FAIL Add_A10: A10_simp != A10_corr ~ %v -> %v == %v", A10, A10_simp, A10_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A10, A10_simp)
}
// x^2 - x^2
A11 := NewAdd()
A11.Insert(NewPowI(NewVar(0), 2))
A11.Insert(NewNeg(NewPowI(NewVar(0), 2)))
A11_simp := A11.Clone().Simplify(rules)
A11_corr := NewMul()
A11_corr.Insert(NewConstant(0))
A11_corr.Insert(NewPowI(NewVar(0), 2))
if !A11_simp.AmISame(A11_corr) {
TEST.Fatalf("FAIL Add_A11: A11_simp != A11_corr ~ %v -> %v == %v", A11, A11_simp, A11_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A11, A11_simp)
}
// cF(x) - dF(x)
// cx^3.14 - dx^3.15
A12 := NewAdd()
A12m1 := NewMul()
A12m2 := NewMul()
A12m1.Insert(NewConstant(0))
A12m1.Insert(NewPowF(NewVar(0), 3.14))
A12m2.Insert(NewConstant(0))
A12m2.Insert(NewPowF(NewVar(0), 3.14))
A12.Insert(A12m1)
A12.Insert(NewNeg(A12m2))
A12_simp := A12.Clone().Simplify(rules)
A12_corr := NewMul()
A12_corr.Insert(NewConstant(0))
A12_corr.Insert(NewPowF(NewVar(0), 3.14))
if !A12_simp.AmISame(A12_corr) {
TEST.Fatalf("FAIL Add_A12: A12_simp != A12_corr ~ %v -> %v == %v", A12, A12_simp, A12_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A12, A12_simp)
}
// cF(x) - F(x)
// cExp(x) - Exp(x)
A13 := NewAdd()
A13m1 := NewMul()
A13m1.Insert(NewConstant(0))
A13m1.Insert(NewExp(NewVar(0)))
A13.Insert(A13m1)
A13.Insert(NewNeg(NewExp(NewVar(0))))
A13_simp := A13.Clone().Simplify(rules)
A13_corr := NewMul()
A13_corr.Insert(NewConstant(0))
A13_corr.Insert(NewExp(NewVar(0)))
if !A13_simp.AmISame(A13_corr) {
TEST.Fatalf("FAIL Add_A13: A13_simp != A13_corr ~ %v -> %v == %v", A13, A13_simp, A13_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A13, A13_simp)
}
// F(x) - cF(x)
// sin(x) - csin(x)
A14 := NewAdd()
A14m2 := NewMul()
A14m2.Insert(NewConstant(0))
A14m2.Insert(NewSin(NewVar(0)))
A14.Insert(NewSin(NewVar(0)))
A14.Insert(NewNeg(A14m2))
A14_simp := A14.Clone().Simplify(rules)
A14_corr := NewMul()
A14_corr.Insert(NewConstant(0))
A14_corr.Insert(NewSin(NewVar(0)))
if !A14_simp.AmISame(A14_corr) {
TEST.Fatalf("FAIL Add_A14: A14_simp != A14_corr ~ %v -> %v == %v", A14, A14_simp, A14_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A14, A14_simp)
}
// c0 + c1*x + c2*x*x*x
A15 := NewAdd()
A15.Insert(NewConstant(0))
A15m1 := NewMul()
A15m1.Insert(NewConstant(1))
A15m1.Insert(NewVar(0))
A15.Insert(A15m1)
A15m2 := NewMul()
A15m2.Insert(NewConstant(2))
A15m2.Insert(NewVar(0))
A15m2.Insert(NewVar(0))
A15m2.Insert(NewVar(0))
A15.Insert(A15m2)
A15_simp := A15.Clone().Simplify(rules)
A15_corr := NewAdd()
A15_corr.Insert(NewConstant(0))
A15_corrm1 := NewMul()
A15_corrm1.Insert(NewConstant(1))
A15_corrm1.Insert(NewVar(0))
A15_corr.Insert(A15_corrm1)
A15_corrm2 := NewMul()
A15_corrm2.Insert(NewConstant(2))
A15_corrm2.Insert(NewPowI(NewVar(0), 3))
A15_corr.Insert(A15_corrm2)
if !A15_simp.AmISame(A15_corr) {
TEST.Fatalf("FAIL Add_A15: A15_simp != A15_corr ~ %v -> %v == %v", A15, A15_simp, A15_corr)
} else {
TEST.Logf("AddVar: %v -> %v", A15, A15_simp)
}
// X - (X+Y) ???
}
func Test_SimpMul(TEST *testing.T) {
fmt.Printf("Testing: Simplifying Mul ")
var rules = DefaultRules()
mn := NewMul()
mn.Insert(nil)
mn_simp := mn.Clone().Simplify(rules)
if mn_simp != nil {
TEST.Fatalf("FAIL MulNil: mn_simp != nil ~ %v -> %v", mn, mn_simp)
} else {
TEST.Logf("MulNil: %v -> %v", mn, mn_simp)
}
ml := NewMul()
ml.Insert(NewNull())
ml_simp := ml.Clone().Simplify(rules)
if ml_simp != nil {
TEST.Fatalf("FAIL MulNull: nn_simp != Null ~ %v -> %v", ml, ml_simp)
} else {
TEST.Logf("MulNull: %v -> %v", ml, ml_simp)
}
mv := NewMul()
mv.Insert(NewVar(0))
mv_simp := mv.Clone().Simplify(rules)
mv_corr := NewVar(0)
if !mv_simp.AmISame(mv_corr) {
TEST.Fatalf("FAIL MulVar: mv_simp != mv_corr ~ %v -> %v == %v", mv, mv_simp, mv_corr)
} else {
TEST.Logf("MulVar: %v -> %v", mv, mv_simp)
}
c := NewConstant(0)
mc := NewMul()
mc.Insert(c)
mc_simp := mc.Clone().Simplify(rules)
if !c.AmISame(mc_simp) {
TEST.Fatalf("FAIL MulConst: c != mc_simp ~ %v -> %v", mc, mc_simp)
} else {
TEST.Logf("MulConst: %v -> %v", mc, mc_simp)
}
cN := NewConstant(0)
mcN := NewMul()
mcN.Insert(cN)
mcN.Insert(NewConstant(1))
mcN.Insert(NewConstant(2))
mcN_simp := mcN.Clone().Simplify(rules)
if !cN.AmISame(mcN_simp) {
TEST.Fatalf("FAIL MulConst: c != mcN_simp ~ %v -> %v", mcN, mcN_simp)
} else {
TEST.Logf("MulConst: %v -> %v", mcN, mcN_simp)
}
mvN := NewMul()
mvN.Insert(NewVar(0))
mvN.Insert(NewVar(0))
mvN.Insert(NewVar(0))
mvN_simp := mvN.Clone().Simplify(rules)
mvN_corr := NewPowI(NewVar(0), 3)
if !mvN_simp.AmISame(mvN_corr) {
TEST.Fatalf("FAIL MulVar: mvN_simp != mvN_corr ~ %v -> %v == %v", mvN, mvN_simp, mvN_corr)
} else {
TEST.Logf("MulVar: %v -> %v", mvN, mvN_simp)
}
mcvN := NewMul()
mcvN.Insert(NewConstant(0))
mcvN.Insert(NewConstant(1))
mcvN.Insert(NewConstant(2))
mcvN.Insert(NewVar(0))
mcvN.Insert(NewVar(0))
mcvN.Insert(NewVar(0))
mcvN_simp := mcvN.Clone().Simplify(rules)
mcvN_corr := NewMul()
mcvN_corr.Insert(NewConstant(0))
mcvN_corr.Insert(NewPowI(NewVar(0), 3))
if !mcvN_simp.AmISame(mcvN_corr) {
TEST.Fatalf("FAIL MulVar: mvN_simp != mvN_corr ~ %v -> %v == %v", mcvN, mcvN_simp, mcvN_corr)
} else {
TEST.Logf("MulVar: %v -> %v", mcvN, mcvN_simp)
}
mcvNb := NewMul()
mcvNb.Insert(NewConstant(0))
mcvNb.Insert(NewConstant(1))
mcvNb.Insert(NewVar(0))
mcvNb.Insert(NewVar(0))
mcvNb.Insert(NewVar(0))
mcvNba := NewAdd()
mcvNba.Insert(NewVar(0))
mcvNbm := NewMul()
mcvNbm.Insert(NewConstant(-1))
mcvNbm.Insert(NewVar(0))
mcvNba.Insert(mcvNbm)
mcvNb.Insert(mcvNba)
mcvNb_simp := mcvNb.Clone().Simplify(rules)
mcvNb_corr := NewMul()
mcvNb_corr.Insert(NewConstant(0))
mcvNb_corr.Insert(NewPowI(NewVar(0), 4))
if !mcvNb_simp.AmISame(mcvNb_corr) {
TEST.Fatalf("FAIL MulVar: mvN_simp != mvN_corr ~ %v -> %v == %v", mcvNb, mcvNb_simp, mcvNb_corr)
} else {
TEST.Logf("MulVar: %v -> %v", mcvNb, mcvNb_simp)
}
md := NewMul()
md.Insert(NewConstant(0))
mdiv := NewDiv(NewConstant(1), NewVar(0))
md.Insert(mdiv)
md_simp := md.Clone().Simplify(rules)
md_corr := NewDiv(NewConstant(0), NewVar(0))
if !md_simp.AmISame(md_corr) {
TEST.Fatalf("FAIL MulVar: md_simp != md_corr ~ %v -> %v == %v", md, md_simp, md_corr)
} else {
TEST.Logf("MulVar: %v -> %v", md, md_simp)
}
md2 := NewMul()
md2.Insert(NewConstant(0))
md2m := NewMul()
md2m.Insert(NewConstant(1))
md2m.Insert(NewVar(0))
md2div := NewDiv(md2m, NewVar(0))
md2.Insert(md2div)
md2_corr := NewConstant(0)
md2_simp := md2div.Clone().Simplify(rules)
if !md2_simp.AmISame(md2_corr) {
TEST.Fatalf("FAIL MulVar: md2_simp != md2_corr ~ %v -> %v == %v", md2, md2_simp, md2_corr)
} else {
TEST.Logf("MulVar: %v -> %v", md2, md2_simp)
}
}
func Test_Damd(TEST *testing.T) {
fmt.Printf("Testing: Damd Simps \n")
var rules = DefaultRules()
vnames := []string{"x", "y", "z"}
f1 := parse("2*x^2* x^3", vnames)
fmt.Printf("f1 orig: %v\n", f1)
f1s := f1.Clone().Simplify(rules)
fmt.Printf("f1 simp: %v\n\n", f1s)
f2 := parse("2*x^-3 * x^2", vnames)
fmt.Printf("f2 orig: %v\n", f2)
f2s := f2.Clone().Simplify(rules)
fmt.Printf("f2 simp: %v\n\n", f2s)
}
func Test_ConstantF(TEST *testing.T) {
fmt.Printf("Testing: ConstantF Simps\n---------------------\n\n")
var rules = DefaultRules()
rules.ConvertConsts = false
vnames := []string{"x", "y", "z"}
f1 := parse("x + x", vnames)
fmt.Printf("f1 orig: %v\n", f1)
f1s := f1.Clone().Simplify(rules)
fmt.Printf("f1 simp: %v\n\n", f1s)
f2 := parse("2*x + x", vnames)
fmt.Printf("f2 orig: %v\n", f2)
f2s := f2.Clone().Simplify(rules)
fmt.Printf("f2 simp: %v\n\n", f2s)
f3 := parse("x + 2*x", vnames)
fmt.Printf("f3 orig: %v\n", f3)
f3s := f3.Clone().Simplify(rules)
fmt.Printf("f3 simp: %v\n\n", f3s)
f4 := parse("2*x + 3*x", vnames)
fmt.Printf("f4 orig: %v\n", f4)
f4s := f4.Clone().Simplify(rules)
fmt.Printf("f4 simp: %v\n\n", f4s)
f5 := parse("x - x", vnames)
fmt.Printf("f5 orig: %v\n", f5)
f5s := f5.Clone().Simplify(rules)
fmt.Printf("f5 simp: %v\n\n", f5s)
f6 := parse("2*x - x", vnames)
fmt.Printf("f6 orig: %v\n", f6)
f6s := f6.Clone().Simplify(rules)
fmt.Printf("f6 simp: %v\n\n", f6s)
f7 := parse("x - 2*x", vnames)
fmt.Printf("f7 orig: %v\n", f7)
f7s := f7.Clone().Simplify(rules)
fmt.Printf("f7 simp: %v\n\n", f7s)
f8 := parse("2*x - 3*x", vnames)
fmt.Printf("f8 orig: %v\n", f8)
f8s := f8.Clone().Simplify(rules)
fmt.Printf("f8 simp: %v\n\n", f8s)
f9 := parse("5*x - 2*x", vnames)
fmt.Printf("f9 orig: %v\n", f9)
f9s := f9.Clone().Simplify(rules)
fmt.Printf("f9 simp: %v\n\n", f9s)
/*
XX := parse("x + x", vnames)
fmt.Printf("XX orig: %v\n", XX)
XXs := XX.Clone().Simplify(rules)
fmt.Printf("XX simp: %v\n\n", XXs)
*/
}
func Test_Div(TEST *testing.T) {
fmt.Printf("Testing: Div Simps\n---------------------\n\n")
var rules = DefaultRules()
vnames := []string{"x", "y", "z"}
rules.ConvertConsts = false
/*****************************************/
/*****************************************/
f1 := parse("x / x", vnames)
f1_corr := NewConstant(-1)
f1_simp := f1.Clone().Simplify(rules)
if !f1_simp.AmISame(f1_corr) {
TEST.Fatalf("FAIL Div: f1_simp != f1_corr ~ %v -> %v == %v", f1, f1_simp, f1_corr)
} else {
fmt.Printf("Div: %v -> %v", f1, f1_simp)
TEST.Logf("Div: %v -> %v", f1, f1_simp)
}
f2 := parse("( 2 * x ) / x", vnames)
f2_corr := NewConstant(-1)
f2_simp := f2.Clone().Simplify(rules)
if !f2_simp.AmISame(f2_corr) {
TEST.Fatalf("FAIL Div: f2_simp != f2_corr ~ %v -> %v == %v", f2, f2_simp, f2_corr)
} else {
fmt.Printf("Div: %v -> %v", f2, f2_simp)
TEST.Logf("Div: %v -> %v", f2, f2_simp)
}
f3 := parse("x^2 / x", vnames)
f3_corr := parse("x", vnames)
f3_simp := f3.Clone().Simplify(rules)
if !f3_simp.AmISame(f3_corr) {
TEST.Fatalf("FAIL Div: f3_simp != f3_corr ~ %v -> %v == %v", f3, f3_simp, f3_corr)
} else {
fmt.Printf("Div: %v -> %v", f3, f3_simp)
TEST.Logf("Div: %v -> %v", f3, f3_simp)
}
f4 := parse("x^3 / x^2", vnames)
f4_corr := parse("x", vnames)
f4_simp := f4.Clone().Simplify(rules)
if !f4_simp.AmISame(f4_corr) {
TEST.Fatalf("FAIL Div: f4_simp != f4_corr ~ %v -> %v == %v", f4, f4_simp, f4_corr)
} else {
fmt.Printf("Div: %v -> %v", f4, f4_simp)
TEST.Logf("Div: %v -> %v", f4, f4_simp)
}
f5 := parse("x^4 / x^2", vnames)
f5_corr := parse("x^2", vnames)
f5_simp := f5.Clone().Simplify(rules)
if !f5_simp.AmISame(f5_corr) {
TEST.Fatalf("FAIL Div: f5_simp != f5_corr ~ %v -> %v == %v", f5, f5_simp, f5_corr)
} else {
fmt.Printf("Div: %v -> %v", f5, f5_simp)
TEST.Logf("Div: %v -> %v", f5, f5_simp)
}
f6 := parse("x / x^2", vnames)
f6_corr := NewDiv(NewConstant(-1), NewVar(0))
f6_simp := f6.Clone().Simplify(rules)
if !f6_simp.AmISame(f6_corr) {
TEST.Fatalf("FAIL Div: f6_simp != f6_corr ~ %v -> %v == %v", f6, f6_simp, f6_corr)
} else {
fmt.Printf("Div: %v -> %v", f6, f6_simp)
TEST.Logf("Div: %v -> %v", f6, f6_simp)
}
f7 := parse("x^2 / x^3", vnames)
f7_corr := NewDiv(NewConstant(-1), NewVar(0))
f7_simp := f7.Clone().Simplify(rules)
if !f7_simp.AmISame(f7_corr) {
TEST.Fatalf("FAIL Div: f7_simp != f7_corr ~ %v -> %v == %v", f7, f7_simp, f7_corr)
} else {
fmt.Printf("Div: %v -> %v", f7, f7_simp)
TEST.Logf("Div: %v -> %v", f7, f7_simp)
}
f8 := parse("x^2 / x^4", vnames)
f8_corr := NewDiv(NewConstant(-1), NewPowI(NewVar(0), 2))
f8_simp := f8.Clone().Simplify(rules)
if !f8_simp.AmISame(f8_corr) {
TEST.Fatalf("FAIL Div: f8_simp != f8_corr ~ %v -> %v == %v", f8, f8_simp, f8_corr)
} else {
fmt.Printf("Div: %v -> %v", f8, f8_simp)
TEST.Logf("Div: %v -> %v", f8, f8_simp)
}
/*****************************************/
/*****************************************/
f1_n := parse("(y * x) / x", vnames)
f1_n_corr := NewVar(1)
f1_n_simp := f1_n.Clone().Simplify(rules)
if !f1_n_simp.AmISame(f1_n_corr) {
TEST.Fatalf("FAIL Div: f1_n_simp != f1_n_corr ~ %v -> %v == %v", f1_n, f1_n_simp, f1_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f1_n, f1_n_simp)
TEST.Logf("Div: %v -> %v", f1_n, f1_n_simp)
}
f2_n := parse("( 2 * x * y ) / x", vnames)
f2_n_corr := parse("2 * y", vnames)
f2_n_simp := f2_n.Clone().Simplify(rules)
if !f2_n_simp.AmISame(f2_n_corr) {
TEST.Fatalf("FAIL Div: f2_n_simp != f2_n_corr ~ %v -> %v == %v", f2_n, f2_n_simp, f2_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f2_n, f2_n_simp)
TEST.Logf("Div: %v -> %v", f2_n, f2_n_simp)
}
f3_n := parse("( y * x^2 ) / x", vnames)
f3_n_corr := parse("y * x", vnames)
f3_n_simp := f3_n.Clone().Simplify(rules)
if !f3_n_simp.AmISame(f3_n_corr) {
TEST.Fatalf("FAIL Div: f3_n_simp != f3_n_corr ~ %v -> %v == %v", f3_n, f3_n_simp, f3_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f3_n, f3_n_simp)
TEST.Logf("Div: %v -> %v", f3_n, f3_n_simp)
}
f4_n := parse("(y * x^3) / x^2", vnames)
f4_n_corr := parse("y * x", vnames)
f4_n_simp := f4_n.Clone().Simplify(rules)
if !f4_n_simp.AmISame(f4_n_corr) {
TEST.Fatalf("FAIL Div: f4_n_simp != f4_n_corr ~ %v -> %v == %v", f4_n, f4_n_simp, f4_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f4_n, f4_n_simp)
TEST.Logf("Div: %v -> %v", f4_n, f4_n_simp)
}
f5_n := parse("(y * x^4) / x^2", vnames)
f5_n_corr := parse("y * x^2", vnames)
f5_n_simp := f5_n.Clone().Simplify(rules)
if !f5_n_simp.AmISame(f5_n_corr) {
TEST.Fatalf("FAIL Div: f5_n_simp != f5_n_corr ~ %v -> %v == %v", f5_n, f5_n_simp, f5_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f5_n, f5_n_simp)
TEST.Logf("Div: %v -> %v", f5_n, f5_n_simp)
}
f6_n := parse("(y * x)/ x^2", vnames)
f6_n_corr := parse("y / x", vnames)
f6_n_simp := f6_n.Clone().Simplify(rules)
if !f6_n_simp.AmISame(f6_n_corr) {
TEST.Fatalf("FAIL Div: f6_n_simp != f6_n_corr ~ %v -> %v == %v", f6_n, f6_n_simp, f6_n_corr)
} else {
fmt.Printf("Div: %v -> %v", f6_n, f6_n_simp)
TEST.Logf("Div: %v -> %v", f6_n, f6_n_simp)