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    <title>8-bit MicrocontrollersのトピックRe: MC68HC11 Quadratic Equation</title>
    <link>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143819#M6696</link>
    <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Hello,&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Assuming you have resources to accommodate floating point mathematics, the following untested function should give&amp;nbsp;the solutions to the quadradic equation, for both real and complex cases.&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;#include "math.h"&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;/* Global variables for result */&lt;BR /&gt;double r1, i1;&amp;nbsp; // First solution&lt;BR /&gt;double r2, i2;&amp;nbsp; // Second solution&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;void quadratic (double a, double b, double c)&lt;BR /&gt;{&lt;BR /&gt;&amp;nbsp;&amp;nbsp;double t;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;b = b/a;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;c = c/a;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;t = b*b/2 - c;&lt;BR /&gt;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;if (t &amp;lt; 0)&amp;nbsp; {&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;/* Complex solution */&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r1 = -0.5*b;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i1 = sqrt(-t);&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r2 = r1;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i2 = -i1;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;}&lt;BR /&gt;&amp;nbsp;&amp;nbsp;else {&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;/* Real solution */&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;t = sqrt(t);&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r1 = -0.5*b + t;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i1 = 0;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r2 = -0.5*b - t;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i2 = 0;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;}&lt;BR /&gt;}&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;For the coefficients given in your post, the solution will be complex -&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;-2+j1, -2-j1&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Regards,&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Mac&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
    <pubDate>Mon, 29 Jan 2007 19:47:43 GMT</pubDate>
    <dc:creator>bigmac</dc:creator>
    <dc:date>2007-01-29T19:47:43Z</dc:date>
    <item>
      <title>MC68HC11 Quadratic Equation</title>
      <link>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143818#M6695</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;SPAN&gt;I Am trying to write a small program to solve the quadratic equation and i was wondering if anyone could help the numbers are A=1 B=4 and C=5 thanks for your help in advance and also does anyone know of a good free ware 68hc11 emulator i had THRsim11 but the trial is almost over thank you in advance&lt;/SPAN&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Mon, 29 Jan 2007 13:11:56 GMT</pubDate>
      <guid>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143818#M6695</guid>
      <dc:creator>junkbonkin</dc:creator>
      <dc:date>2007-01-29T13:11:56Z</dc:date>
    </item>
    <item>
      <title>Re: MC68HC11 Quadratic Equation</title>
      <link>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143819#M6696</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Hello,&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Assuming you have resources to accommodate floating point mathematics, the following untested function should give&amp;nbsp;the solutions to the quadradic equation, for both real and complex cases.&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;#include "math.h"&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;/* Global variables for result */&lt;BR /&gt;double r1, i1;&amp;nbsp; // First solution&lt;BR /&gt;double r2, i2;&amp;nbsp; // Second solution&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;void quadratic (double a, double b, double c)&lt;BR /&gt;{&lt;BR /&gt;&amp;nbsp;&amp;nbsp;double t;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;b = b/a;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;c = c/a;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;t = b*b/2 - c;&lt;BR /&gt;&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;&amp;nbsp;&amp;nbsp;if (t &amp;lt; 0)&amp;nbsp; {&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;/* Complex solution */&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r1 = -0.5*b;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i1 = sqrt(-t);&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r2 = r1;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i2 = -i1;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;}&lt;BR /&gt;&amp;nbsp;&amp;nbsp;else {&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;/* Real solution */&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;t = sqrt(t);&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r1 = -0.5*b + t;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i1 = 0;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;r2 = -0.5*b - t;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;i2 = 0;&lt;BR /&gt;&amp;nbsp;&amp;nbsp;}&lt;BR /&gt;}&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;For the coefficients given in your post, the solution will be complex -&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT face="Courier New" size="2"&gt;-2+j1, -2-j1&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Regards,&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;Mac&lt;/FONT&gt;&lt;/DIV&gt;&lt;DIV&gt;&lt;FONT size="2"&gt;&lt;/FONT&gt;&amp;nbsp;&lt;/DIV&gt;&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Mon, 29 Jan 2007 19:47:43 GMT</pubDate>
      <guid>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143819#M6696</guid>
      <dc:creator>bigmac</dc:creator>
      <dc:date>2007-01-29T19:47:43Z</dc:date>
    </item>
    <item>
      <title>Re: MC68HC11 Quadratic Equation</title>
      <link>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143820#M6697</link>
      <description>&lt;HTML&gt;&lt;HEAD&gt;&lt;/HEAD&gt;&lt;BODY&gt;unfortunately i am using one that can only take mnemonic code or opcode but thank you for the help&lt;/BODY&gt;&lt;/HTML&gt;</description>
      <pubDate>Mon, 29 Jan 2007 23:13:16 GMT</pubDate>
      <guid>https://community.nxp.com/t5/8-bit-Microcontrollers/MC68HC11-Quadratic-Equation/m-p/143820#M6697</guid>
      <dc:creator>junkbonkin</dc:creator>
      <dc:date>2007-01-29T23:13:16Z</dc:date>
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