RADICE QUADRATA

calcolo della radice quadrata Calcolo Equazioni Algebriche
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REALIZZAZIONE

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<SCRIPT LANGUAGE = "javascript"> function complexADT(){ var myTolFor0 = 1.E-10; var myX = 0; var myY = 0; var myR = 0; var myPhi = 0; var myXYtoRPhi = null; var myRPhitoXY = null; this.protekted = new Object(); this.protekted.ourGetX = null; this.protekted.ourGetY = null; this.protekted.ourGetR = null; this.protekted.ourGetPhi = null; this.protekted.ourSetXY = null; this.protekted.ourSetRPhi = null; this.IsNull = null; this.GetX = null; this.GetY = null; this.Add = null; this.Subtract = null; this.Multiply = null; this.Divide = null; this.Sqrt = null; this.Cubrt = null; this.Square = null; this.Cube = null; this.Print = null; myRPhitoXY = function(){ var X = myR * Math.cos(myPhi); var Y = myR * Math.sin(myPhi); if(Math.abs(X) < myTolFor0) myX = 0; else myX = X; if(Math.abs(Y) < myTolFor0) myY =0; else myY = Y; } myXYtoRPhi = function(){ myR = Math.sqrt(myX*myX+myY*myY); if(myR == 0){ myPhi = 0; return; } if(myY >= 0) myPhi = Math.acos(myX/myR); else if(myY < 0){ myX = -myX; myPhi = Math.acos(myX/myR); myPhi += Math.PI; myX = -myX; } } with(this.protekted){ ourGetX = function(){ return myX; } ourGetY = function(){ return myY; } ourGetR = function(){ return myR; } ourGetPhi = function(){ return myPhi; } ourSetXY = function(inX,inY){ if(Math.abs(inX) < myTolFor0) myX = 0; else myX = inX; if(Math.abs(inY) < myTolFor0) myY =0; else myY = inY; myXYtoRPhi(); } ourSetRPhi = function(inR,inPhi){ myR = inR; myPhi = inPhi; myRPhitoXY(); } } with(this){ with(this.protekted){ IsNull = function(){ if(myX == 0 && myY == 0) return true; else return false; } GetX = function(){ return ourGetX(); } GetY = function(){ return ourGetY(); } Add = function(){ var numX = null; var numY = null; if(arguments.length == 1){ numX = arguments[0].GetX(); numY = arguments[0].GetY(); } else if(arguments.length == 2){ numX = arguments[0]; numY = arguments[1]; } numX += myX; numY += myY; ourSetXY(numX,numY); } Subtract = function(){ var numX = null; var numY = null; if(arguments.length == 1){ numX = arguments[0].GetX(); numY = arguments[0].GetY(); } else if(arguments.length == 2){ numX = arguments[0]; numY = arguments[1]; } numX = myX - numX; numY = myY - numY; ourSetXY(numX,numY); } Multiply = function(){ var numX = null; var numY = null; if(arguments.length == 1){ numX = arguments[0].GetX(); numY = arguments[0].GetY(); } else if(arguments.length == 2){ numX = arguments[0]; numY = arguments[1]; } var newX = myX*numX - myY*numY; var newY = myY*numX + myX*numY; ourSetXY(newX,newY); } Divide = function(){ var numX = null; var numY = null; if(arguments.length == 1){ numX = arguments[0].GetX(); numY = arguments[0].GetY(); } else if(arguments.length == 2){ numX = arguments[0]; numY = arguments[1]; } var newR = numX*numX + numY*numY; var newX = myX*numX + myY*numY; newX /= newR; var newY = myY*numX - myX*numY; newY /= newR; ourSetXY(newX,newY); } Sqrt = function(){ var numRank = null; if(arguments.length == 0) numRank = 0; else numRank = arguments[0]; var numR = ourGetR(); if(numR == 0) return; numR = Math.sqrt(numR); var numPhi = ourGetPhi(); numPhi = (numPhi + 2*Math.PI*numRank)/2 ; ourSetRPhi(numR,numPhi); } Cubrt = function(){ var numRank = null; if(arguments.length == 0) numRank = 0; else numRank = arguments[0]; var numR = ourGetR(); if(numR == 0) return; numR = Math.pow(numR,(1/3)); var numPhi = ourGetPhi(); numPhi = (numPhi + 2*Math.PI*numRank)/3 ; ourSetRPhi(numR,numPhi); } Square = function(){ Multiply(this); } Cube = function(){ var aComplex = new complexADT(this); Square(); Multiply(aComplex); } Print = function(){ alert("X= " + myX + "; Y= " + myY); } } } if(arguments.length == 1) this.protekted.ourSetXY(arguments[0].GetX(),arguments[0].GetY()); else if(arguments.length == 2) this.protekted.ourSetXY(arguments[0],arguments[1]); } function Cube2Soluzione(inM,inN,inB){ var numX = 0; var numY = 0; var compN = new complexADT(inN); compN.Divide(2,0); compN.Square(); var compM = new complexADT(inM); compM.Divide(3,0); compM.Cube(); compN.Add(compM); var compTerm1 = new complexADT(inN); compTerm1.Divide(-2,0); var compRHS = new complexADT(compN); compRHS.Sqrt(); compRHS.Add(compTerm1); if(compRHS.IsNull() == true){ compRHS = new complexADT(compN); compRHS.Sqrt(1); compRHS.Add(compTerm1); } var compA = new complexADT(compRHS); compA.Cubrt(); var compB = new complexADT(inM); compB.Divide(3,0); compB.Divide(compA); compA.Subtract(compB); compA.Subtract(inB); numX = compA.GetX(); numY = compA.GetY(); document.mainForm.ShowX1.value = numFormat(numX); document.mainForm.ShowY1.value = numFormat(numY); compA = new complexADT(compRHS); compA.Cubrt(1); compB = new complexADT(inM); compB.Divide(3,0); compB.Divide(compA); compA.Subtract(compB); // X = a - b compA.Subtract(inB); numX = compA.GetX(); numY = compA.GetY(); document.mainForm.ShowX2.value = numFormat(numX); document.mainForm.ShowY2.value = numFormat(numY); compA = new complexADT(compRHS); compA.Cubrt(2); compB = new complexADT(inM); compB.Divide(3,0); compB.Divide(compA); compA.Subtract(compB); compA.Subtract(inB); numX = compA.GetX(); numY = compA.GetY(); document.mainForm.ShowX3.value = numFormat(numX); document.mainForm.ShowY3.value = numFormat(numY); } function Quad2Soluzione(inA,inB,inC){ var numX = 0; var numY = 0; var complexRat =new complexADT(); complexRat.Add(inB); complexRat.Divide(inA); complexRat.Divide(2,0); complexRatCA = new complexADT(); complexRatCA.Add(inC); complexRatCA.Divide(inA); complexRHS = new complexADT(); complexRHS.Add(complexRat); complexRHS.Multiply(complexRat); complexRHS.Subtract(complexRatCA); //RHS aComplex = new complexADT(); aComplex.Add(complexRHS); aComplex.Sqrt(0); aComplex.Subtract(complexRat); numX = aComplex.GetX(); numY = aComplex.GetY(); document.mainForm.ShowX1.value = numFormat(numX); document.mainForm.ShowY1.value = numFormat(numY); var aComplex = new complexADT(); aComplex.Add(complexRHS); aComplex.Sqrt(1); aComplex.Subtract(complexRat); numX = aComplex.GetX(); numY = aComplex.GetY(); document.mainForm.ShowX2.value = numFormat(numX); document.mainForm.ShowY2.value = numFormat(numY); } function getSoluzione(){ var numAX = parseFloat(document.mainForm.AX.value); var numBX = parseFloat(document.mainForm.BX.value); var numCX = parseFloat(document.mainForm.CX.value); var numDX = parseFloat(document.mainForm.DX.value); var numAY = parseFloat(document.mainForm.AY.value); var numBY = parseFloat(document.mainForm.BY.value); var numCY = parseFloat(document.mainForm.CY.value); var numDY = parseFloat(document.mainForm.DY.value); var compA = new complexADT(numAX,numAY); var compB = new complexADT(numBX,numBY); var compC = new complexADT(numCX,numCY); var compD = new complexADT(numDX,numDY); if(compA.IsNull() == false){ compB.Divide(compA); compC.Divide(compA); compD.Divide(compA); var compM = new complexADT(compC); var compValue = new complexADT(compB); compValue.Square(); compValue.Divide(3,0); compM.Subtract(compValue); var compN = new complexADT(compD); compValue = new complexADT(compB); compValue.Multiply(compC); compValue.Divide(3,0); compN.Subtract(compValue); compValue = new complexADT(compB); compValue.Cube(); compValue.Multiply(2/27,0); compN.Add(compValue); compB.Divide(3,0); Cube2Soluzione(compM,compN,compB); return; } if(compB.IsNull() == false){ Quad2Soluzione(compB,compC,compD); return; } if(compC.IsNull() == false){ var compRHS = new complexADT(compD); compRHS.Multiply(-1,0); compRHS.Divide(compC); var numX = compRHS.GetX(); var numY = compRHS.GetY(); document.mainForm.ShowX1.value = numFormat(numX); document.mainForm.ShowY1.value = numFormat(numY); } } function numFormat(){ var numMain = arguments[0]; var numCount = 1; var numFactor = 10; var strText = null; var strSign = ""; if(numMain < 0){ strSign = "- "; numMain = - numMain; } if(numMain == 0) strText = "0"; else if(numMain == 1) strText = "1"; else if(numMain > 1.0){ while(numMain > 1){ numMain /= numFactor; ++numCount; } --numCount; strText = numMain.toString(); strText = strText.substr(0,8); strText += " E "; strText += numCount; } else if(numMain <1.0){ while(numMain < 1.0){ numMain *= numFactor; ++numCount; } numCount -= 2; numMain /= numFactor; strText = numMain.toString(); strText = strText.substr(0,8); if(numCount > 0){ strText += " E -"; strText += numCount; } } strText = strSign + strText; return strText; } function clearInput(){ document.mainForm.AX.value=0; document.mainForm.AY.value=0; document.mainForm.BX.value=0; document.mainForm.BY.value=0; document.mainForm.CX.value=0; document.mainForm.CY.value=0; document.mainForm.DX.value=0; document.mainForm.DY.value=0; document.mainForm.ShowX1.value = 0; document.mainForm.ShowY1.value = 0; document.mainForm.ShowX2.value = 0; document.mainForm.ShowY2.value = 0; document.mainForm.ShowX3.value = 0; document.mainForm.ShowY3.value = 0; } // --> </SCRIPT> </HEAD> <BODY ONDBLCLICK = "window.parent.sendWin()"> <FORM NAME="mainForm"> <PRE><CENTER> INSERISCI UN NUMERO NEL CAMPO: <INPUT TYPE="text" NAME="Input" VALUE=0 SIZE=15 MAXLENGTH=15> (<INPUT TYPE="BUTTON" NAME="AX" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> + <INPUT TYPE="BUTTON" NAME="AY" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> * i) *X<SUP>3</SUP> + (<INPUT TYPE="BUTTON" NAME="BX" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> + <INPUT TYPE="BUTTON" NAME="BY" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> * i) *X<SUP>2</SUP> + (<INPUT TYPE="BUTTON" NAME="CX" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> + <INPUT TYPE="BUTTON" NAME="CY" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> * i) *X + (<INPUT TYPE="BUTTON" NAME="DX" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> + <INPUT TYPE="BUTTON" NAME="DY" VALUE=0 ONCLICK="this.value=document.mainForm.Input.value"> * i) = 0 <INPUT TYPE="button" VALUE="Calcola" NAME="Soluzione" ONCLICK="getSoluzione()"> <INPUT TYPE="button" VALUE="Clear" NAME="CLEAR" ONCLICK="clearInput()"> Soluzione #1: <INPUT TYPE="text" NAME="ShowX1" SIZE=15 MAXLENGTH=15> + <INPUT TYPE="text" NAME="ShowY1" SIZE=15 MAXLENGTH=15> * i Soluzione #2: <INPUT TYPE="text" NAME="ShowX2" SIZE=15 MAXLENGTH=15> + <INPUT TYPE="text" NAME="ShowY2" SIZE=15 MAXLENGTH=15> * i Soluzione #3: <INPUT TYPE="text" NAME="ShowX3" SIZE=15 MAXLENGTH=15> + <INPUT TYPE="text" NAME="ShowY3" SIZE=15 MAXLENGTH=15> * i </CENTER></PRE></FORM>