    @function pad($radius) {
        $radius: boxmax($radius);
        $radius: parseint($radius);
        @if $radius >= 10 {
            @return $radius;
        }
        @else {
            @return "0" + $radius;
        }
    }

    @function nopx ($value) {
        @if $value == 0 {
            @return 0;
        }
        @return $value / 1px;
    }

    @mixin x-frame(
        $cls,
        $ui: null,
        $border-radius: 0px,
        $border-width: 0px,
        $padding: null,
        $background-color: null,
        $background-gradient: null,
        $table: false,
        $background-direction: top,
        $include-frame-rtl: false,
        // an optional ui to use for images
        $img-ui: $ui,
        $background-stretch: null
    ) {
        $cls-ui: $cls;
        $cls-img-ui: null;
        @if $ui != null {
            $cls-ui: $cls + '-' + $ui;
            $cls-img-ui: $cls + '-' + $img-ui;
        }

        $vertical: false;
        @if $background-gradient != null and ($background-direction == left or $background-direction == right) {
            $vertical: true;
        }

        $background-stretch-position: null;
        @if $background-stretch == null {
            @if $vertical {
                $background-stretch: left;
            } @else {
                $background-stretch: bottom;
            }
        }

        @if $background-stretch == top {
            $background-stretch-position: bottom;
        } @else if $background-stretch == bottom {
            $background-stretch-position: top;
        } @else if $background-stretch == left {
            $background-stretch-position: right;
        } @else if $background-stretch == right {
            $background-stretch-position: left;
        }

        @if $background-gradient != null {
            $stretch: slicer-background-stretch($cls-ui, $background-stretch);
        }

        // We use the border-radius of the two corners on each edge to determine the "edge's
        // border-radius". For IE, the framing elements need to be as large as the larger of
        // the border-radius and the border-width on each edge. These values are passed on to
        // JavaScript using an encoded background-image url and the equivalent operations are
        // handled by Renderable.js.
        //
        $frame-top:    max(top($border-width),    max(top($border-radius),    right($border-radius)));
        $frame-right:  max(right($border-width),  max(right($border-radius),  bottom($border-radius)));
        $frame-bottom: max(bottom($border-width), max(bottom($border-radius), left($border-radius)));
        $frame-left:   max(left($border-width),   max(left($border-radius),   top($border-radius)));
        $frame-max:    max(max($frame-top, $frame-bottom), max($frame-left, $frame-right));

        // For CSS3 browsers, if the border-radius is larger than the border-width, we need to
        // apply padding to inset the content. These values can never be 0 because frame-xxx
        // includes border-xxx in its max.
        //
        $padding-top:    $frame-top    - top($border-width);
        $padding-right:  $frame-right  - right($border-width);
        $padding-bottom: $frame-bottom - bottom($border-width);
        $padding-left:   $frame-left   - left($border-width);

        // If there is additional padding, this is understood to be a request to ensure that
        // the content is **at least** this far from the inside of the border. If the framing
        // requires more padding, that wins. This is the amount of padding you need in CSS3
        // browsers.
        //
        @if $padding != null {
            $padding-top:    max($padding-top,    top($padding));
            $padding-right:  max($padding-right,  right($padding));
            $padding-bottom: max($padding-bottom, bottom($padding));
            $padding-left:   max($padding-left,   left($padding));
        }

        // For IE, the framing elements are sized by frame-xxx and the "-mc" will carry the
        // extra-padding-xxx.
        //
        $extra-padding-top:    max(top($border-width)    + $padding-top    - $frame-top, 0);
        $extra-padding-right:  max(right($border-width)  + $padding-right  - $frame-right, 0);
        $extra-padding-bottom: max(bottom($border-width) + $padding-bottom - $frame-bottom, 0);
        $extra-padding-left:   max(left($border-width)   + $padding-left   - $frame-left, 0);

        $framing-info: '';

        @if $table == true {
            $framing-info: $framing-info + 't';
        } @else {
            $framing-info: $framing-info + 'd';
        }
        @if $vertical == true {
            $framing-info: $framing-info + 'v';
        } @else {
            $framing-info: $framing-info + 'h';
        }

        $framing-info: $framing-info + '-' +
               nopx(top($border-radius)) + '-' +
               nopx(right($border-radius)) + '-' +
               nopx(bottom($border-radius)) + '-' +
               nopx(left($border-radius)) + '-' +
               nopx(top($border-width)) + '-' +
               nopx(right($border-width)) + '-' +
               nopx(bottom($border-width)) + '-' +
               nopx(left($border-width)) + '-' +
               nopx($padding-top) + '-' +
               nopx($padding-right) + '-' +
               nopx($padding-bottom) + '-' +
               nopx($padding-left);

        .#{$prefix}#{$cls-ui} {
            @if $supports-border-radius {
                @if length($border-radius) == 2 {
                    @include border-top-left-radius(nth($border-radius, 1));
                    @include border-top-right-radius(nth($border-radius, 2));
                } @else if length($border-radius) == 3 {
                    @include border-top-left-radius(nth($border-radius, 1));
                    @include border-top-right-radius(nth($border-radius, 2));
                    @include border-bottom-right-radius(nth($border-radius, 3));
                } @else if length($border-radius) == 4 {
                    @include border-top-left-radius(nth($border-radius, 1));
                    @include border-top-right-radius(nth($border-radius, 2));
                    @include border-bottom-right-radius(nth($border-radius, 3));
                    @include border-bottom-left-radius(nth($border-radius, 4));
                } @else {
                    @include border-radius($border-radius);
                }
            }

            padding: $padding-top $padding-right $padding-bottom $padding-left;
            border-width: $border-width;
            border-style: solid;

            @if $background-color != null {
                @if $supports-gradients and $background-gradient != null {
                    @include background-gradient($background-color, $background-gradient, $background-direction);
                }
                @else {
                    background-color: $background-color;
                }
            }
        }

        @if $include-frame-rtl {
            @if $background-direction == left {
                $background-direction: right;
            } @else if $background-direction == right {
                $background-direction: left;
            }

            @if $background-direction == left or $background-direction == right {
                .#{$prefix}rtl.#{$prefix}#{$cls-ui} {
                    @include background-gradient(
                        $background-color,
                        $background-gradient,
                        $background-direction
                    );
                }
            }
        }

        @if not $supports-gradients or $compile-all {
            .#{$prefix}#{$cls-ui}-mc {
                @if $background-gradient != null {
                    background-image: slicer-frame-background-image($cls-ui, '#{$cls}/#{$cls-img-ui}-fbg');

                    @if $vertical {
                        background-position: $background-stretch-position 0;
                    } @else {
                        background-position: 0 $background-stretch-position;
                    }
                }
                @if $background-color != null {
                    background-color: $background-color;
                }
            }
            @if $include-frame-rtl and $background-gradient != null {
                .#{$prefix}rtl.#{$prefix}#{$cls-ui}-mc {
                    background-image: slicer-frame-background-image-rtl($cls-ui, '#{$cls}/#{$cls-img-ui}-fbg-rtl');
                    background-position: rtl-background-position($background-stretch-position 0);
                }
            }

            @if $background-gradient != null {
                .#{$prefix}nlg {
                    .#{$prefix}#{$cls-ui} {
                        background-image: slicer-background-image($cls-ui, '#{$cls}/#{$cls-img-ui}-bg');

                        @if $vertical {
                            background-position: $background-stretch-position 0;
                        } @else {
                            background-position: 0 $background-stretch-position;
                        }
                    }

                    @if $include-frame-rtl {
                        .#{$prefix}rtl.#{$prefix}#{$cls-ui} {
                            background-image: slicer-background-image-rtl($cls-ui, '#{$cls}/#{$cls-img-ui}-bg-rtl');
                            background-position: rtl-background-position($background-stretch-position 0);
                        }
                    }
                }
            }
        }

        @if not $supports-border-radius or $compile-all {
            .#{$prefix}nbr {
                // This rule must be in x-nbr to avoid matching on CSS3 browsers.
                .#{$prefix}#{$cls-ui} {
                    padding: 0 !important;
                    border-width: 0 !important;
                    @include border-radius(0px);
                    @if $background-color != null {
                        background-color: transparent;
                    } @else {
                        background: #fff;
                    }
                    @if $background-gradient != null {
                        background-image: none;
                    }
                }
            }

            // This rule must be more specific than other x-nlg rules or else framing will
            // not be applied to the element. This rule must also be in x-nbr to avoid
            // matching on CSS3 browsers.
            //
            body.#{$prefix}nbr {
                .#{$prefix}#{$cls-ui}-frameInfo {
                    // Pass along Div/Table, Horz/Vert, border-radius and border-width
                    // Here we're encoding the framing information in an arbitrary fashion so
                    // it can be parsed by the component and get information about the framing.
                    // Originally, this tried to embed the information using a background image
                    // pointing to about:blank#info however in IE with SSL, this would trigger
                    // the insecure content warning. We also tried encoding the info using a
                    // filter as follows (where framing-info is a string containg the encoded data):
                    // filter: progid:DXImageTransform.Microsoft.AlphaImageLoader(enabled=false, src="ext-frame#{$framing-info}");
                    // However the filter property can only be read by IE, making it impossible
                    // to debug nocss3 mode in modern browsers. Font-family meets all the
                    // requirements for tunneling data to JavaScript. It can contain an
                    // arbitrary string value, which can be read in JS in any browser, and it
                    // does not trigger any network interactions.
                    font-family: #{$framing-info};
                }
            }

            // These rules apply to elements that are not rendered on CSS3 browsers so we do
            // not need to force the browser to walk to the root of the document searching
            // for x-nbr!

            @if $vertical {
                // vertical framing element background positions
                .#{$prefix}#{$cls-ui}-tl {
                    background-position: 0 0;
                }

                .#{$prefix}#{$cls-ui}-tr {
                    background-position: 0 (-$frame-max);
                }

                .#{$prefix}#{$cls-ui}-bl {
                    background-position: 0 (-$frame-max * 2);
                }

                .#{$prefix}#{$cls-ui}-br {
                    background-position: 0 (-$frame-max * 3);
                }

                .#{$prefix}#{$cls-ui}-ml {
                    background-position: (-$frame-max) 0;
                }

                .#{$prefix}#{$cls-ui}-mr {
                    background-position: right 0;
                }

                .#{$prefix}#{$cls-ui}-tc {
                    background-position: $background-stretch-position 0;
                }

                .#{$prefix}#{$cls-ui}-bc {
                    background-position: $background-stretch-position (-$frame-max);
                }

                @if $include-frame-rtl {
                    .#{$prefix}rtl.#{$prefix}#{$cls-ui}-tc {
                        background-position: rtl-background-position($background-stretch-position 0);
                    }

                    .#{$prefix}rtl.#{$prefix}#{$cls-ui}-bc {
                        background-position: rtl-background-position($background-stretch-position (-$frame-max));
                    }
                }
            } @else {
                // horizontal framing element background positions
                .#{$prefix}#{$cls-ui}-tl {
                    background-position: 0 (-$frame-max * 2);
                }

                .#{$prefix}#{$cls-ui}-tr {
                    background-position: right (-$frame-max * 3);
                }

                .#{$prefix}#{$cls-ui}-bl {
                    background-position: 0 (-$frame-max * 4);
                }

                .#{$prefix}#{$cls-ui}-br {
                    background-position: right (-$frame-max * 5);
                }

                .#{$prefix}#{$cls-ui}-ml {
                    background-position: 0 $background-stretch-position;
                }

                .#{$prefix}#{$cls-ui}-mr {
                    background-position: right $background-stretch-position;
                }

                .#{$prefix}#{$cls-ui}-tc {
                    background-position: 0 0;
                }

                .#{$prefix}#{$cls-ui}-bc {
                    background-position: 0 (-$frame-max);
                }
            }

            .#{$prefix}#{$cls-ui}-tr,
            .#{$prefix}#{$cls-ui}-br,
            .#{$prefix}#{$cls-ui}-mr {
                padding-right: $frame-right;
            }

            .#{$prefix}#{$cls-ui}-tl,
            .#{$prefix}#{$cls-ui}-bl,
            .#{$prefix}#{$cls-ui}-ml {
                padding-left: $frame-left;
            }

            .#{$prefix}#{$cls-ui}-tc {
                height: $frame-top;
            }
            .#{$prefix}#{$cls-ui}-bc {
                height: $frame-bottom;
            }

            .#{$prefix}#{$cls-ui}-tl,
            .#{$prefix}#{$cls-ui}-bl,
            .#{$prefix}#{$cls-ui}-tr,
            .#{$prefix}#{$cls-ui}-br,
            .#{$prefix}#{$cls-ui}-tc,
            .#{$prefix}#{$cls-ui}-bc,
            .#{$prefix}#{$cls-ui}-ml,
            .#{$prefix}#{$cls-ui}-mr {
                zoom:1;

                @if $background-color != transparent {
                    background-image: slicer-corner-sprite($cls-ui, '#{$cls}/#{$cls-img-ui}-corners');
                }
            }

            @if $background-color != transparent {
                @if $include-frame-rtl {
                    .#{$prefix}rtl {
                        &.#{$prefix}#{$cls-ui}-tl,
                        &.#{$prefix}#{$cls-ui}-ml,
                        &.#{$prefix}#{$cls-ui}-bl,
                        &.#{$prefix}#{$cls-ui}-tr,
                        &.#{$prefix}#{$cls-ui}-mr,
                        &.#{$prefix}#{$cls-ui}-br {
                            background-image: slicer-corner-sprite-rtl($cls-ui, '#{$cls}/#{$cls-img-ui}-corners-rtl');
                        }
                    }
                }
            }

            @if $vertical == true {
                .#{$prefix}#{$cls-ui}-tc,
                .#{$prefix}#{$cls-ui}-bc {
                    zoom:1;

                    @if $background-color != transparent {
                        background-image: slicer-sides-sprite($cls-ui, '#{$cls}/#{$cls-img-ui}-sides');
                        background-repeat: repeat-x;
                    }
                }

                @if $include-frame-rtl and $background-color != transparent {
                    .#{$prefix}rtl {
                        &.#{$prefix}#{$cls-ui}-tc,
                        &.#{$prefix}#{$cls-ui}-bc {
                            background-image: slicer-sides-sprite-rtl($cls-ui, '#{$cls}/#{$cls-img-ui}-sides-rtl');
                        }
                    }
                }
            } @else {
                .#{$prefix}#{$cls-ui}-ml,
                .#{$prefix}#{$cls-ui}-mr {
                    zoom:1;

                    @if $background-color != transparent {
                        background-image: slicer-sides-sprite($cls-ui, '#{$cls}/#{$cls-img-ui}-sides');
                        @if $background-gradient == null {
                            background-repeat: repeat-y;
                        }
                    }
                }
            }

            .#{$prefix}#{$cls-ui}-mc {
                padding: $extra-padding-top $extra-padding-right $extra-padding-bottom $extra-padding-left;
            }

            @if $include-ie {
                // framed components in ie7 strict mode suffer from an obscure bug that causes the tl and bl framing elements to
                // be shrink-wrapped to the width of their contents.  This hack forces the elements' widths to fit to their parent
                .#{$prefix}strict .#{$prefix}ie7 {
                    .#{$prefix}#{$cls-ui}-tl,
                    .#{$prefix}#{$cls-ui}-bl {
                        position: relative;
                        right: 0;
                    }
                }
            }
        }

        @include x-slicer($cls-ui);
    }