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IMABS function

PRO BASIC

In Jspreadsheet Formulas Pro, the IMABS function is utilized to calculate the absolute value or magnitude of a complex number. A complex number is a number that can be expressed in the form a + bi, where 'a' and 'b' are real numbers, and 'i' is an imaginary unit. When you input a complex number into the IMABS function, it will provide you with the number's absolute value, essentially its distance from the origin on a complex number plane. This function is particularly useful in mathematical and engineering calculations.

Documentation

The IMABS function is used to return the absolute value (magnitude) of a complex number.

Category

Engineering

Syntax

IMABS(inumber)

Parameter Description
inumber The complex number for which to find the absolute value.

Behavior

The IMABS function takes a complex number in the format x + yi or x + yj and returns the absolute (modulus) value of the complex number. Here's how it handles different inputs:

  • If the input cell is empty, the function will return a #NUM! error, as it expects a complex number as an argument.
  • If the input is not a valid complex number, the function will return a #NUM! error.
  • Text inputs that can't be interpreted as complex numbers will result in a #NUM! error.
  • Booleans are not valid inputs for the IMABS function and will result in a #NUM! error.
  • If the referenced cell contains an error (such as #REF!, #DIV/0!, or other calculation errors), IMABS will return the same error without calculation.

Common Errors

Error Description
#NUM! Occurs when the input cell is empty, the input is not a complex number, or if a boolean is used as input.
#VALUE! If the function encounters this error in the input cell, it will propagate the same error. Other error types from input cells will also be propagated.

Best Practices

  • Ensure that the input to the IMABS function is a valid complex number in the format x + yi or x + yj.
  • Avoid using the function with empty cells, booleans, and non-complex numbers to prevent a #NUM! error.
  • Be careful while referencing cells as the function will propagate any error from the input cell.
  • Use error handling functions like IFERROR or ISERROR to handle possible errors before using IMABS.

Usage

A few examples using the IMABS function.

IMABS("2+3i")         // Returns approximately 3.6056 (√(2² + 3²))
IMABS("-4-3i")        // Returns exactly 5 (√(16 + 9))
IMABS("0+10i")        // Returns exactly 10 (purely imaginary number)
IMABS("5+0i")         // Returns exactly 5 (purely real number)
IMABS(A1)             // Returns the modulus of the complex number stored in cell A1

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Complex Number",
        "Absolute Value"
    ],
    [
        "3+4i",
        "=IMABS(A2)"
    ],
    [
        "-5+12i",
        "=IMABS(A3)"
    ],
    [
        "0-8i",
        "=IMABS(A4)"
    ],
    [
        "6+0i",
        "=IMABS(A5)"
    ]
]
  }]
});
</script>
</html>
import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Complex Number",
        "Absolute Value"
    ],
    [
        "3+4i",
        "=IMABS(A2)"
    ],
    [
        "-5+12i",
        "=IMABS(A3)"
    ],
    [
        "0-8i",
        "=IMABS(A4)"
    ],
    [
        "6+0i",
        "=IMABS(A5)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}
<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Complex Number",
        "Absolute Value"
    ],
    [
        "3+4i",
        "=IMABS(A2)"
    ],
    [
        "-5+12i",
        "=IMABS(A3)"
    ],
    [
        "0-8i",
        "=IMABS(A4)"
    ],
    [
        "6+0i",
        "=IMABS(A5)"
    ]
]

        return {
            data
        };
    }
}
</script>
import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Complex Number",
        "Absolute Value"
    ],
    [
        "3+4i",
        "=IMABS(A2)"
    ],
    [
        "-5+12i",
        "=IMABS(A3)"
    ],
    [
        "0-8i",
        "=IMABS(A4)"
    ],
    [
        "6+0i",
        "=IMABS(A5)"
    ]
]
            }]
        });
    }
}