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Bootstrap - Why the primary color for an alert is not the same than for a button ?

About

This page explains why the primary color for an alert is not the same than for a button in Bootstrap and how to calculate the derived alert colors.

Even if they are not the same, they are in the same hue and follows therefore a monochromatic color scheme

Color System

bootstrap uses a color system based on the definition of 8 colors 1)

$theme-colors: (
  "primary":    $primary,
  "secondary":  $secondary,
  "light":      $light,
  "dark":       $dark,
  "success":    $success,
  "info":       $info,
  "warning":    $warning,
  "danger":     $danger
);

Why the primary color for an alert is not the same than for a button ?

If you take a close look, you will find that the color used for the button takes the primary color defined earlier but not the alert.

.btn-primary {
    color: #fff;
    background-color: #0d6efd;
    border-color: #0d6efd;
}
.alert-primary {
    color: #084298;
    background-color: #cfe2ff;
    border-color: #b6d4fe;
}

The alerts colors are derived colors with the shift-color function. 2)

$alert-background: shift-color($value, $alert-bg-scale);
$alert-border: shift-color($value, $alert-border-scale);
$alert-color: shift-color($value, $alert-color-scale);

In the default theme, the scale is defined with the value 3)

$alert-bg-scale:                -80%;
$alert-border-scale:            -70%;
$alert-color-scale:             40%;

The shift-color is a wrapper and if the percentage weight is:

@function shift-color($color, $weight) {
  @return if($weight > 0, shade-color($color, $weight), tint-color($color, -$weight));
}

// Tint a color: mix a color with white
@function tint-color($color, $weight) {
  @return mix(white, $color, $weight);
}

// Shade a color: mix a color with black
@function shade-color($color, $weight) {
  @return mix(black, $color, $weight);
}

And here we got how the color are calculated (test it at http://sass.js.org/)

mix(black,#0d6efd,40) // #084298
mix(white,#0d6efd,80) // #cfe2ff
mix(white,#0d6efd,70) // #b6d4fe