File:Gaussian Function.png

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Gaussian_Function.png(320 × 177 pixels, file size: 6 KB, MIME type: image/png)

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Summary

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Description
English: The famous Bell Curve.
Date
Source Own work
Author Philip Rideout

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Source Code

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Uses C99 and Cairo.

#include <cairo.h>
#include <math.h>
#include <stdio.h>

int main()
{
    double width = 320, height = 240;
    double f, delta = 0.125;
    cairo_surface_t *surface = cairo_image_surface_create(CAIRO_FORMAT_ARGB32, width, height);
    cairo_t *crc = cairo_create(surface);
    cairo_text_extents_t extents;
    cairo_font_options_t* font;

    // Set up font  (face is second field in 'xlsfonts'; first field is foundry)
    font = cairo_font_options_create();
    cairo_font_options_set_antialias(font, CAIRO_ANTIALIAS_SUBPIXEL);
    cairo_set_font_options(crc, font);
    cairo_select_font_face(crc, "nimbus sans l", CAIRO_FONT_SLANT_NORMAL, CAIRO_FONT_WEIGHT_BOLD);
    cairo_set_font_size(crc, 16);
    cairo_font_options_destroy(font);

    // Background
    cairo_rectangle(crc, 0, 0, width, height);
    cairo_set_source_rgb(crc, 1, 1, 1);
    cairo_fill(crc);

    // Fill
    cairo_move_to(crc, 0, 220);
    for (f = -4; f < 4; f += delta)
    {
        double v = exp(-f * f / 2) / sqrt(2 * M_PI);
        cairo_line_to(crc, width * (f + 4) / 8, 220 - v * height);
    }
    cairo_close_path(crc);
    cairo_set_source_rgb(crc, 122 / 255.0, 143 / 255.0, 248 / 255.0);
    cairo_fill(crc);

    // Graph
    cairo_move_to(crc, 0, 220);
    for (f = -4; f < 4; f += delta)
    {
        double v = exp(-f * f / 2) / sqrt(2 * M_PI);
        cairo_line_to(crc, width * (f + 4) / 8, 220 - v * height);
    }
    cairo_set_line_width(crc, 2);
    cairo_set_source_rgb(crc, 7 / 255.0, 16 / 255.0, 141 / 255.0);
    cairo_stroke(crc);

    // Vertical Axis
    cairo_set_source_rgb(crc, 0, 0, 0);
    cairo_move_to(crc, width / 2, 0);
    cairo_line_to(crc, width / 2, height);
    cairo_stroke(crc);

    // Horizontal Axis
    cairo_move_to(crc, 0, 220);
    cairo_line_to(crc, width, 220);
    cairo_stroke(crc);

    // Horizontal Ticks
    cairo_set_line_width(crc, 1);
    for (f = -4; f < 4; f++)
    {
        cairo_move_to(crc, width * (f + 4) / 8, 220 - 5);
        cairo_line_to(crc, width * (f + 4) / 8, 220 + 5);
        cairo_stroke(crc);

        if (f > -4 && f != 0 && f < +4)
        {
            char str[] = "+3";
            if (f > 0)
                sprintf(str, "%d", (int) f);
            else
                sprintf(str, "%d", (int) f);
            cairo_text_extents(crc, str, &extents);
            cairo_move_to(crc, width * (f + 4) / 8 - extents.width / 2, 220 + 7 + extents.height);
            cairo_show_text(crc, str);
        }
    }

    // Vertical Ticks
    for (f = +1; f >= -1; f -= 0.1)
    {
        cairo_move_to(crc, width / 2 - 5, 220 + f * height);
        cairo_line_to(crc, width / 2 + 5, 220 + f * height);
        cairo_stroke(crc);
    }

    cairo_text_extents(crc, "0.5", &extents);
    cairo_move_to(crc, width / 2 + 7, 220 - 0.5 * height + extents.height / 2);
    cairo_show_text(crc, "0.5");

    cairo_surface_write_to_png(surface, "gauss.png");
    return 0;
}

File history

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Date/TimeThumbnailDimensionsUserComment
current04:59, 16 April 2012Thumbnail for version as of 04:59, 16 April 2012320 × 177 (6 KB)Philiprideout (talk | contribs)

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