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uniform sampler2D img;
uniform float m_stretch;
vec2 stretch(vec2 pos)
{
// our transform should map [0..1] to itself, with f(0) = 0, f(1) = 1, f(0.5) = 0.5, and f'(0.5) = b.
// a simple curve to do this is g(x) = b(x-0.5) + (1-b)2^(n-1)(x-0.5)^n + 0.5
// where the power preserves sign. n = 2 is the simplest non-linear case (required when b != 1)
float x = pos.x - 0.5;
return vec2(mix(x * abs(x) * 2.0, x, m_stretch) + 0.5, pos.y);
}
void main()
{
gl_FragColor.rgb = texture2D(img, stretch(gl_TexCoord[0].xy)).rgb;
gl_FragColor.a = gl_Color.a;
}
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