Method for graphing complex function, program storage medium, and information processing apparatus

A non-transitory computer-readable medium storing a program thereon, the program causing a computer communicably connected to a user terminal to:

• receive, from a user of the user terminal, input of mathematical expression information including the complex function;
• generate, based on the mathematical expression information, first display information comprising image data formatted for display by the user terminal, the first display information comprising a first three-dimensional graph that indicates a relationship between a first variable indicating a real part of a first complex number input to the complex function indicated by the mathematical expression information, a second variable indicating an imaginary part of the first complex number, and a third variable indicating a real part of a second complex number output from the complex function;
• generate, based on the mathematical expression information, second display information comprising image data formatted for display by the user terminal, the second display information comprising a second three-dimensional graph that indicates a relationship between the first variable, the second variable, and a fourth variable indicating an imaginary part of the second complex number;
• combine the first three-dimensional graph and the second three-dimensional graph to generate composite image data formatted for display by the user terminal in which the first three-dimensional graph and the second three-dimensional graph are simultaneously displayed within one orthogonal coordinate system such that an axis corresponding to the third variable in the first three-dimensional graph coincides with an axis corresponding to the fourth variable in the second three-dimensional graph;
• and
• execute processing to display, on a display of the user terminal, display information including the composite image data.

An information processing apparatus comprising:

• a memory storing a program thereon;
• and
• at least one hardware processor configured to, under control of the program stored in the memory:
• receive, from a user of the user terminal, input of mathematical expression information including the complex function;
• generate, based on the mathematical expression information, first display information comprising image data formatted for display by the user terminal, the first display information comprising a first three-dimensional graph that indicates a relationship between a first variable indicating a real part of a first complex number input to the complex function indicated by the mathematical expression information, a second variable indicating an imaginary part of the first complex number, and a third variable indicating a real part of a second complex number output from the complex function;
• generate, based on the mathematical expression information, second display information comprising image data formatted for display by the user terminal, the second display information comprising a second three-dimensional graph that indicates a relationship between the first variable, the second variable, and a fourth variable indicating an imaginary part of the second complex number;
• combine the first three-dimensional graph and the second three-dimensional graph to generate composite image data formatted for display by the user terminal in which the first three-dimensional graph and the second three-dimensional graph are simultaneously displayed within one orthogonal coordinate system such that an axis corresponding to the third variable in the first three-dimensional graph coincides with an axis corresponding to the fourth variable in the second three-dimensional graph;
• and
• execute processing to display, on a display of the user terminal, display information including the composite image data.