Graphing method for presenting values associated with two data sets, graphing apparatus, and computer program product storing a program for executing the graphing method

A computer program product comprising a non-transitory computer-readable storage medium that stores a graphing program for causing a graphing apparatus that includes a receiving module, an angle-determining unit, a plotting module, and an output module to execute steps of a graphing method including:

• (a) configuring the receiving module to receive a first value and a second value, and reference information corresponding to the first and second values;
• (b) configuring the angle-determining unit to determine an angle value using the first value and the second value, step (b) including
• (b-0) configuring a pre-processing module of the angle-determining unit to determine if the first value is zero,
• (b-1) if the first value is not zero, configuring a relational value module of the angle-determining unit to calculate a relational value by determining the quotient of a numerator and a denominator, in which the denominator is a function of the first value and the numerator is a function of at least the second value,
• (b-2) if the first value is not zero, configuring an angle transformation module of the angle-determining unit to obtain the angle value by inputting the relational value in a predetermined inverse trigonometric function, and
• (b-3) if the first value is zero, configuring the pre-processing module to determine the sign of the second value, the angle-determining unit being configured to set the angle value to a maximum value of the range of the inverse trigonometric function when the sign of the second value is positive, the angle-determining unit being configured to set the angle value to a minimum value of the range of the inverse trigonometric function when the sign of the second value is negative;
• and
• (c) configuring the plotting module to generate a graph having presented thereon a coordinate value formed using the angle value and the reference information;
• and
• (d) configuring the output module to output the graph to a display medium for display thereon.

A graphing apparatus comprising:

• a data-receiving module for receiving a first value and a second value, and reference information corresponding to the first and second values;
• an angle-determining unit coupled to said data-receiving module to receive the first and second values therefrom, said angle-determining unit determining an angle value using the first value and the second value, said angle-determining unit including
• a relational value module for calculating a relational value by determining the quotient of a numerator and a denominator, in which the denominator is a function of the first value, and the numerator is a function of at least the second value, and
• an angle transformation module for obtaining the angle value by inputting the relational value in a predetermined inverse trigonometric function;
• a plotting module coupled to said data-receiving module and said angle-determining unit, said plotting module generating a graph having presented thereon a coordinate value formed using the angle value and the reference information;
• and
• an output module coupled to said plotting module, said output module being adapted to output the graph to a display medium for display thereon,
• wherein said angle-determining unit further includes a pre-processing module for determining if the first value is zero, said relational value module calculating the relational value and said angle transformation module obtaining the angle value if the first value is not zero;
• and
• if the first value is zero, said pre-processing module determining the sign of the second value, said angle-determining unit setting the angle value to a maximum value of the range of the inverse trigonometric function when the sign of the second value is positive, said angle-determining unit setting the angle value to a minimum value of the range of the inverse trigonometric function when the sign of the second value is negative.