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https://github.com/shopspring/decimal.git
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Run go fmt (#162)
This commit is contained in:
Jason Biegel
Mateusz Woś
parent
360f2bc030
commit
96defcb63c
1 changed files with 148 additions and 148 deletions
296
decimal.go
296
decimal.go
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@ -1291,174 +1291,174 @@ func (d Decimal) satan() Decimal {
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}
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// sin coefficients
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var _sin = [...]Decimal{
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NewFromFloat(1.58962301576546568060E-10), // 0x3de5d8fd1fd19ccd
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NewFromFloat(-2.50507477628578072866E-8), // 0xbe5ae5e5a9291f5d
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NewFromFloat(2.75573136213857245213E-6), // 0x3ec71de3567d48a1
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NewFromFloat(-1.98412698295895385996E-4), // 0xbf2a01a019bfdf03
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NewFromFloat(8.33333333332211858878E-3), // 0x3f8111111110f7d0
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NewFromFloat(-1.66666666666666307295E-1), // 0xbfc5555555555548
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}
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var _sin = [...]Decimal{
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NewFromFloat(1.58962301576546568060e-10), // 0x3de5d8fd1fd19ccd
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NewFromFloat(-2.50507477628578072866e-8), // 0xbe5ae5e5a9291f5d
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NewFromFloat(2.75573136213857245213e-6), // 0x3ec71de3567d48a1
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NewFromFloat(-1.98412698295895385996e-4), // 0xbf2a01a019bfdf03
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NewFromFloat(8.33333333332211858878e-3), // 0x3f8111111110f7d0
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NewFromFloat(-1.66666666666666307295e-1), // 0xbfc5555555555548
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}
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// Sin returns the sine of the radian argument x.
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func (d Decimal) Sin() Decimal {
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PI4A := NewFromFloat(7.85398125648498535156E-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668E-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645E-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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func (d Decimal) Sin() Decimal {
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PI4A := NewFromFloat(7.85398125648498535156e-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668e-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645e-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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if d.Equal(NewFromFloat(0.0)) {
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return d
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}
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// make argument positive but save the sign
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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sign = true
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}
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if d.Equal(NewFromFloat(0.0)) {
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return d
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}
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// make argument positive but save the sign
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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sign = true
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}
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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j &= 7 // octant modulo 2Pi radians (360 degrees)
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// reflect in x axis
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if j > 3 {
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sign = !sign
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j -= 4
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}
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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j &= 7 // octant modulo 2Pi radians (360 degrees)
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// reflect in x axis
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if j > 3 {
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sign = !sign
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j -= 4
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}
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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if j == 1 || j == 2 {
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w := zz.Mul(zz).Mul(_cos[0].Mul(zz).Add(_cos[1]).Mul(zz).Add(_cos[2]).Mul(zz).Add(_cos[3]).Mul(zz).Add(_cos[4]).Mul(zz).Add(_cos[5]))
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y = NewFromFloat(1.0).Sub(NewFromFloat(0.5).Mul(zz)).Add(w)
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} else {
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y = z.Add(z.Mul(zz).Mul(_sin[0].Mul(zz).Add(_sin[1]).Mul(zz).Add(_sin[2]).Mul(zz).Add(_sin[3]).Mul(zz).Add(_sin[4]).Mul(zz).Add(_sin[5])))
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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if j == 1 || j == 2 {
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w := zz.Mul(zz).Mul(_cos[0].Mul(zz).Add(_cos[1]).Mul(zz).Add(_cos[2]).Mul(zz).Add(_cos[3]).Mul(zz).Add(_cos[4]).Mul(zz).Add(_cos[5]))
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y = NewFromFloat(1.0).Sub(NewFromFloat(0.5).Mul(zz)).Add(w)
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} else {
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y = z.Add(z.Mul(zz).Mul(_sin[0].Mul(zz).Add(_sin[1]).Mul(zz).Add(_sin[2]).Mul(zz).Add(_sin[3]).Mul(zz).Add(_sin[4]).Mul(zz).Add(_sin[5])))
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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// cos coefficients
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var _cos = [...]Decimal{
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NewFromFloat(-1.13585365213876817300E-11), // 0xbda8fa49a0861a9b
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NewFromFloat(2.08757008419747316778E-9), // 0x3e21ee9d7b4e3f05
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NewFromFloat(-2.75573141792967388112E-7), // 0xbe927e4f7eac4bc6
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NewFromFloat(2.48015872888517045348E-5), // 0x3efa01a019c844f5
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NewFromFloat(-1.38888888888730564116E-3), // 0xbf56c16c16c14f91
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NewFromFloat(4.16666666666665929218E-2), // 0x3fa555555555554b
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}
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// cos coefficients
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var _cos = [...]Decimal{
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NewFromFloat(-1.13585365213876817300e-11), // 0xbda8fa49a0861a9b
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NewFromFloat(2.08757008419747316778e-9), // 0x3e21ee9d7b4e3f05
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NewFromFloat(-2.75573141792967388112e-7), // 0xbe927e4f7eac4bc6
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NewFromFloat(2.48015872888517045348e-5), // 0x3efa01a019c844f5
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NewFromFloat(-1.38888888888730564116e-3), // 0xbf56c16c16c14f91
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NewFromFloat(4.16666666666665929218e-2), // 0x3fa555555555554b
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}
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// Cos returns the cosine of the radian argument x.
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func (d Decimal) Cos() Decimal {
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// Cos returns the cosine of the radian argument x.
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func (d Decimal) Cos() Decimal {
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PI4A := NewFromFloat(7.85398125648498535156E-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668E-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645E-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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PI4A := NewFromFloat(7.85398125648498535156e-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668e-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645e-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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// make argument positive
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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}
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// make argument positive
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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}
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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j &= 7 // octant modulo 2Pi radians (360 degrees)
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// reflect in x axis
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if j > 3 {
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sign = !sign
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j -= 4
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}
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if j > 1 {
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sign = !sign
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}
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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j &= 7 // octant modulo 2Pi radians (360 degrees)
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// reflect in x axis
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if j > 3 {
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sign = !sign
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j -= 4
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}
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if j > 1 {
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sign = !sign
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}
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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if j == 1 || j == 2 {
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y = z.Add(z.Mul(zz).Mul(_sin[0].Mul(zz).Add(_sin[1]).Mul(zz).Add(_sin[2]).Mul(zz).Add(_sin[3]).Mul(zz).Add(_sin[4]).Mul(zz).Add(_sin[5])))
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} else {
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w := zz.Mul(zz).Mul(_cos[0].Mul(zz).Add(_cos[1]).Mul(zz).Add(_cos[2]).Mul(zz).Add(_cos[3]).Mul(zz).Add(_cos[4]).Mul(zz).Add(_cos[5]))
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y = NewFromFloat(1.0).Sub(NewFromFloat(0.5).Mul(zz)).Add(w)
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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if j == 1 || j == 2 {
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y = z.Add(z.Mul(zz).Mul(_sin[0].Mul(zz).Add(_sin[1]).Mul(zz).Add(_sin[2]).Mul(zz).Add(_sin[3]).Mul(zz).Add(_sin[4]).Mul(zz).Add(_sin[5])))
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} else {
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w := zz.Mul(zz).Mul(_cos[0].Mul(zz).Add(_cos[1]).Mul(zz).Add(_cos[2]).Mul(zz).Add(_cos[3]).Mul(zz).Add(_cos[4]).Mul(zz).Add(_cos[5]))
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y = NewFromFloat(1.0).Sub(NewFromFloat(0.5).Mul(zz)).Add(w)
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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var _tanP = [...]Decimal{
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NewFromFloat(-1.30936939181383777646E+4), // 0xc0c992d8d24f3f38
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NewFromFloat(1.15351664838587416140E+6), // 0x413199eca5fc9ddd
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NewFromFloat(-1.79565251976484877988E+7), // 0xc1711fead3299176
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}
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var _tanQ = [...]Decimal{
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NewFromFloat(1.00000000000000000000E+0),
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NewFromFloat(1.36812963470692954678E+4), //0x40cab8a5eeb36572
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NewFromFloat(-1.32089234440210967447E+6), //0xc13427bc582abc96
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NewFromFloat(2.50083801823357915839E+7), //0x4177d98fc2ead8ef
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NewFromFloat(-5.38695755929454629881E+7), //0xc189afe03cbe5a31
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}
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var _tanP = [...]Decimal{
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NewFromFloat(-1.30936939181383777646e+4), // 0xc0c992d8d24f3f38
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NewFromFloat(1.15351664838587416140e+6), // 0x413199eca5fc9ddd
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NewFromFloat(-1.79565251976484877988e+7), // 0xc1711fead3299176
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}
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var _tanQ = [...]Decimal{
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NewFromFloat(1.00000000000000000000e+0),
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NewFromFloat(1.36812963470692954678e+4), //0x40cab8a5eeb36572
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NewFromFloat(-1.32089234440210967447e+6), //0xc13427bc582abc96
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NewFromFloat(2.50083801823357915839e+7), //0x4177d98fc2ead8ef
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NewFromFloat(-5.38695755929454629881e+7), //0xc189afe03cbe5a31
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}
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// Tan returns the tangent of the radian argument x.
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func (d Decimal) Tan() Decimal {
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// Tan returns the tangent of the radian argument x.
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func (d Decimal) Tan() Decimal {
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PI4A := NewFromFloat(7.85398125648498535156E-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668E-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645E-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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PI4A := NewFromFloat(7.85398125648498535156e-1) // 0x3fe921fb40000000, Pi/4 split into three parts
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PI4B := NewFromFloat(3.77489470793079817668e-8) // 0x3e64442d00000000,
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PI4C := NewFromFloat(2.69515142907905952645e-15) // 0x3ce8469898cc5170,
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M4PI := NewFromFloat(1.273239544735162542821171882678754627704620361328125) // 4/pi
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if d.Equal(NewFromFloat(0.0)) {
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return d
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}
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if d.Equal(NewFromFloat(0.0)) {
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return d
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}
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// make argument positive but save the sign
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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sign = true
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}
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// make argument positive but save the sign
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sign := false
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if d.LessThan(NewFromFloat(0.0)) {
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d = d.Neg()
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sign = true
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}
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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j := d.Mul(M4PI).IntPart() // integer part of x/(Pi/4), as integer for tests on the phase angle
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y := NewFromFloat(float64(j)) // integer part of x/(Pi/4), as float
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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// map zeros to origin
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if j&1 == 1 {
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j++
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y = y.Add(NewFromFloat(1.0))
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}
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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z := d.Sub(y.Mul(PI4A)).Sub(y.Mul(PI4B)).Sub(y.Mul(PI4C)) // Extended precision modular arithmetic
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zz := z.Mul(z)
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if zz.GreaterThan(NewFromFloat(1e-14)) {
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w := zz.Mul(_tanP[0].Mul(zz).Add(_tanP[1]).Mul(zz).Add(_tanP[2]))
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x := zz.Add(_tanQ[1]).Mul(zz).Add(_tanQ[2]).Mul(zz).Add(_tanQ[3]).Mul(zz).Add(_tanQ[4])
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y = z.Add(z.Mul(w.Div(x)))
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} else {
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y = z
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}
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if j&2 == 2 {
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y = NewFromFloat(-1.0).Div(y)
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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if zz.GreaterThan(NewFromFloat(1e-14)) {
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w := zz.Mul(_tanP[0].Mul(zz).Add(_tanP[1]).Mul(zz).Add(_tanP[2]))
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x := zz.Add(_tanQ[1]).Mul(zz).Add(_tanQ[2]).Mul(zz).Add(_tanQ[3]).Mul(zz).Add(_tanQ[4])
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y = z.Add(z.Mul(w.Div(x)))
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} else {
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y = z
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}
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if j&2 == 2 {
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y = NewFromFloat(-1.0).Div(y)
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}
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if sign {
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y = y.Neg()
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}
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return y
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}
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