avoid floating point comparison
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@ -111,7 +111,7 @@ pure function Lambert_CubeToBall(cube) result(ball)
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LamXYZ = [ T(order(2)) * q, T(order(1)) * q, pref * XYZ(3) - c ]
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endif special
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! reverse the coordinates back to the regular order according to the original pyramid number
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! reverse the coordinates back to order according to the original pyramid number
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ball = LamXYZ(p)
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endif center
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@ -165,7 +165,7 @@ pure function Lambert_BallToCube(xyz) result(cube)
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! inverse M_1
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xyz1 = [ Tinv(1), Tinv(2), sign(1.0_pReal,xyz3(3)) * rs / pref ] /sc
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! reverst the coordinates back to the regular order according to the original pyramid number
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! reverse the coordinates back to order according to the original pyramid number
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cube = xyz1(p)
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endif center
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@ -127,7 +127,7 @@ contains
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!--------------------------------------------------------------------------------------------------
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!> @brief doing self test
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!--------------------------------------------------------------------------------------------------
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subroutine quaternions_init()
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subroutine quaternions_init
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write(6,'(/,a)') ' <<<+- quaternions init -+>>>'
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call unitTest
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@ -487,34 +487,32 @@ subroutine unitTest
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q = qu
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q_2 = q + q
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if(any(q_2%asArray() /= 2.0_pReal*qu)) call IO_error(401,ext_msg='add__')
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if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) call IO_error(401,ext_msg='add__')
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q_2 = q - q
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if(any(q_2%asArray() /= [0.0_pReal,0.0_pReal,0.0_pReal,0.0_pReal])) &
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call IO_error(401,ext_msg='sub__')
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if(any(dNeq0(q_2%asArray()))) call IO_error(401,ext_msg='sub__')
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q_2 = q * 5.0_preal
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if(any(q_2%asArray() /= 5.0_pReal*qu)) call IO_error(401,ext_msg='mul__')
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if(any(dNeq(q_2%asArray(),5.0_pReal*qu))) call IO_error(401,ext_msg='mul__')
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q_2 = q / 0.5_preal
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if(any(q_2%asArray() /= 2.0_pReal*qu)) call IO_error(401,ext_msg='div__')
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if(any(dNeq(q_2%asArray(),2.0_pReal*qu))) call IO_error(401,ext_msg='div__')
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q_2 = q
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if(q_2 /= q) call IO_error(401,ext_msg='eq__')
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if(any(q%asArray() /= qu)) call IO_error(401,ext_msg='eq__')
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if(q%real() /= qu(1)) call IO_error(401,ext_msg='real()')
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if(any(q%aimag() /= qu(2:4))) call IO_error(401,ext_msg='aimag()')
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if(any(dNeq(q%asArray(),qu))) call IO_error(401,ext_msg='eq__')
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if(dNeq(q%real(), qu(1))) call IO_error(401,ext_msg='real()')
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if(any(dNeq(q%aimag(), qu(2:4)))) call IO_error(401,ext_msg='aimag()')
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q_2 = q%homomorphed()
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if(q /= q_2*(-1.0_pReal)) call IO_error(401,ext_msg='homomorphed')
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if(q_2%real() /= qu(1)*(-1.0_pReal)) call IO_error(401,ext_msg='homomorphed/real')
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if(any(q_2%aimag() /= qu(2:4)*(-1.0_pReal))) call IO_error(401,ext_msg='homomorphed/aimag')
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if(q /= q_2* (-1.0_pReal)) call IO_error(401,ext_msg='homomorphed')
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if(dNeq(q_2%real(), qu(1)* (-1.0_pReal))) call IO_error(401,ext_msg='homomorphed/real')
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if(any(dNeq(q_2%aimag(),qu(2:4)*(-1.0_pReal)))) call IO_error(401,ext_msg='homomorphed/aimag')
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q_2 = conjg(q)
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if(q_2%real() /= q%real()) call IO_error(401,ext_msg='conjg/real')
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if(any(q_2%aimag() /= q%aimag()*(-1.0_pReal))) call IO_error(401,ext_msg='conjg/aimag')
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if(dNeq(q_2%real(), q%real())) call IO_error(401,ext_msg='conjg/real')
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if(any(dNeq(q_2%aimag(),q%aimag()*(-1.0_pReal)))) call IO_error(401,ext_msg='conjg/aimag')
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end subroutine unitTest
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@ -90,6 +90,7 @@ contains
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!--------------------------------------------------------------------------------------------------
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subroutine rotations_init
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call quaternions_init
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write(6,'(/,a)') ' <<<+- rotations init -+>>>'
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call unitTest
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