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| -rw-r--r-- | fractiform.js | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/fractiform.js b/fractiform.js index 54278f5..14ae762 100644 --- a/fractiform.js +++ b/fractiform.js @@ -411,6 +411,57 @@ ${type} remap(${type} x, ${type} a1, ${type} b1, ${type} a2, ${type} b2) { ${type} smoothst(${type} t, ${type} t1, ${type} t2, ${type} out1, ${type} out2) { return mix(out1, out2, smoothstep(t1, t2, t)); } +`).join('\n'), + ` +//! .name: Arctangent +//! .id: arctan2 +//! .category: math +//! .description: The arctangent function (radians) with 2 parameters (set x = 1 for normal arctangent) +//! y.id: y +//! x.id: x +//! x.default: 1 + +` + ['float', 'vec2', 'vec3', 'vec4'].map((type) => ` +${type} arctan2(${type} y, ${type} x) { + return atan(y, x); +} +`).join('\n'), + ` +//! .name: Tangent +//! .id: tan +//! .category: math +//! .description: The tangent function (radians) + +` + ['float', 'vec2', 'vec3', 'vec4'].map((type) => ` +${type} tang(${type} x) { + return tan(x); +} +`).join('\n'), + ` +//! .name: Arcsine +//! .id: arcsin +//! .category: math +//! .description: The arcsine function (radians) — input will be clamped to [−1, 1] + +` + ['float', 'vec2', 'vec3', 'vec4'].map((type) => ` +${type} arcsin(${type} x) { + return asin(clamp(x, -1.0, 1.0)); +} +`).join('\n'), + ` +//! .name: Sigmoid +//! .id: sigmoid +//! .category: curves +//! .description: The sigmoid function — smoothly maps the interval (−∞, ∞) to (a, b) +//! x.description: input value +//! a.description: output value for very negative inputs +//! b.description: output value for very positive inputs +//! sharpness.description: scale factor for input value — higher = quicker transition from a to b + +` + ['float', 'vec2', 'vec3', 'vec4'].map((type) => ` +${type} sigmoid(${type} x, ${type} a, ${type} b, ${type} sharpness) { + return mix(a, b, 1.0 / (1.0 + exp(-sharpness * x))); +} `).join('\n') ]; |