asin
Definition
-- @/=[C]:-1
function asin(...)
Callers
@/ui/modules/apps/SimpleRoll/app.js
rollDegrees = -Math.asin(streams.sensors.roll) * (180 / Math.PI)
circle.setAttribute('transform', 'rotate(' + rollDegrees + rotateOriginStr + ')')
@/inspector/External/three.js/three.js
var envmap_fragment = "#ifdef USE_ENVMAP\n\t#if defined( USE_BUMPMAP ) || defined( USE_NORMALMAP ) || defined( PHONG )\n\t\tvec3 cameraToVertex = normalize( vWorldPosition - cameraPosition );\n\t\tvec3 worldNormal = inverseTransformDirection( normal, viewMatrix );\n\t\t#ifdef ENVMAP_MODE_REFLECTION\n\t\t\tvec3 reflectVec = reflect( cameraToVertex, worldNormal );\n\t\t#else\n\t\t\tvec3 reflectVec = refract( cameraToVertex, worldNormal, refractionRatio );\n\t\t#endif\n\t#else\n\t\tvec3 reflectVec = vReflect;\n\t#endif\n\t#ifdef ENVMAP_TYPE_CUBE\n\t\tvec4 envColor = textureCube( envMap, vec3( flipEnvMap * reflectVec.x, reflectVec.yz ) );\n\t#elif defined( ENVMAP_TYPE_EQUIREC )\n\t\tvec2 sampleUV;\n\t\treflectVec = normalize( reflectVec );\n\t\tsampleUV.y = asin( clamp( reflectVec.y, - 1.0, 1.0 ) ) * RECIPROCAL_PI + 0.5;\n\t\tsampleUV.x = atan( reflectVec.z, reflectVec.x ) * RECIPROCAL_PI2 + 0.5;\n\t\tvec4 envColor = texture2D( envMap, sampleUV );\n\t#elif defined( ENVMAP_TYPE_SPHERE )\n\t\treflectVec = normalize( reflectVec );\n\t\tvec3 reflectView = normalize( ( viewMatrix * vec4( reflectVec, 0.0 ) ).xyz + vec3( 0.0, 0.0, 1.0 ) );\n\t\tvec4 envColor = texture2D( envMap, reflectView.xy * 0.5 + 0.5 );\n\t#else\n\t\tvec4 envColor = vec4( 0.0 );\n\t#endif\n\tenvColor = envMapTexelToLinear( envColor );\n\t#ifdef ENVMAP_BLENDING_MULTIPLY\n\t\toutgoingLight = mix( outgoingLight, outgoingLight * envColor.xyz, specularStrength * reflectivity );\n\t#elif defined( ENVMAP_BLENDING_MIX )\n\t\toutgoingLight = mix( outgoingLight, envColor.xyz, specularStrength * reflectivity );\n\t#elif defined( ENVMAP_BLENDING_ADD )\n\t\toutgoingLight += envColor.xyz * specularStrength * reflectivity;\n\t#endif\n#endif\n";
var lights_pars_maps = "#if defined( USE_ENVMAP ) && defined( PHYSICAL )\n\tvec3 getLightProbeIndirectIrradiance( const in GeometricContext geometry, const in int maxMIPLevel ) {\n\t\tvec3 worldNormal = inverseTransformDirection( geometry.normal, viewMatrix );\n\t\t#ifdef ENVMAP_TYPE_CUBE\n\t\t\tvec3 queryVec = vec3( flipEnvMap * worldNormal.x, worldNormal.yz );\n\t\t\t#ifdef TEXTURE_LOD_EXT\n\t\t\t\tvec4 envMapColor = textureCubeLodEXT( envMap, queryVec, float( maxMIPLevel ) );\n\t\t\t#else\n\t\t\t\tvec4 envMapColor = textureCube( envMap, queryVec, float( maxMIPLevel ) );\n\t\t\t#endif\n\t\t\tenvMapColor.rgb = envMapTexelToLinear( envMapColor ).rgb;\n\t\t#elif defined( ENVMAP_TYPE_CUBE_UV )\n\t\t\tvec3 queryVec = vec3( flipEnvMap * worldNormal.x, worldNormal.yz );\n\t\t\tvec4 envMapColor = textureCubeUV( queryVec, 1.0 );\n\t\t#else\n\t\t\tvec4 envMapColor = vec4( 0.0 );\n\t\t#endif\n\t\treturn PI * envMapColor.rgb * envMapIntensity;\n\t}\n\tfloat getSpecularMIPLevel( const in float blinnShininessExponent, const in int maxMIPLevel ) {\n\t\tfloat maxMIPLevelScalar = float( maxMIPLevel );\n\t\tfloat desiredMIPLevel = maxMIPLevelScalar + 0.79248 - 0.5 * log2( pow2( blinnShininessExponent ) + 1.0 );\n\t\treturn clamp( desiredMIPLevel, 0.0, maxMIPLevelScalar );\n\t}\n\tvec3 getLightProbeIndirectRadiance( const in GeometricContext geometry, const in float blinnShininessExponent, const in int maxMIPLevel ) {\n\t\t#ifdef ENVMAP_MODE_REFLECTION\n\t\t\tvec3 reflectVec = reflect( -geometry.viewDir, geometry.normal );\n\t\t#else\n\t\t\tvec3 reflectVec = refract( -geometry.viewDir, geometry.normal, refractionRatio );\n\t\t#endif\n\t\treflectVec = inverseTransformDirection( reflectVec, viewMatrix );\n\t\tfloat specularMIPLevel = getSpecularMIPLevel( blinnShininessExponent, maxMIPLevel );\n\t\t#ifdef ENVMAP_TYPE_CUBE\n\t\t\tvec3 queryReflectVec = vec3( flipEnvMap * reflectVec.x, reflectVec.yz );\n\t\t\t#ifdef TEXTURE_LOD_EXT\n\t\t\t\tvec4 envMapColor = textureCubeLodEXT( envMap, queryReflectVec, specularMIPLevel );\n\t\t\t#else\n\t\t\t\tvec4 envMapColor = textureCube( envMap, queryReflectVec, specularMIPLevel );\n\t\t\t#endif\n\t\t\tenvMapColor.rgb = envMapTexelToLinear( envMapColor ).rgb;\n\t\t#elif defined( ENVMAP_TYPE_CUBE_UV )\n\t\t\tvec3 queryReflectVec = vec3( flipEnvMap * reflectVec.x, reflectVec.yz );\n\t\t\tvec4 envMapColor = textureCubeUV(queryReflectVec, BlinnExponentToGGXRoughness(blinnShininessExponent));\n\t\t#elif defined( ENVMAP_TYPE_EQUIREC )\n\t\t\tvec2 sampleUV;\n\t\t\tsampleUV.y = asin( clamp( reflectVec.y, - 1.0, 1.0 ) ) * RECIPROCAL_PI + 0.5;\n\t\t\tsampleUV.x = atan( reflectVec.z, reflectVec.x ) * RECIPROCAL_PI2 + 0.5;\n\t\t\t#ifdef TEXTURE_LOD_EXT\n\t\t\t\tvec4 envMapColor = texture2DLodEXT( envMap, sampleUV, specularMIPLevel );\n\t\t\t#else\n\t\t\t\tvec4 envMapColor = texture2D( envMap, sampleUV, specularMIPLevel );\n\t\t\t#endif\n\t\t\tenvMapColor.rgb = envMapTexelToLinear( envMapColor ).rgb;\n\t\t#elif defined( ENVMAP_TYPE_SPHERE )\n\t\t\tvec3 reflectView = normalize( ( viewMatrix * vec4( reflectVec, 0.0 ) ).xyz + vec3( 0.0,0.0,1.0 ) );\n\t\t\t#ifdef TEXTURE_LOD_EXT\n\t\t\t\tvec4 envMapColor = texture2DLodEXT( envMap, reflectView.xy * 0.5 + 0.5, specularMIPLevel );\n\t\t\t#else\n\t\t\t\tvec4 envMapColor = texture2D( envMap, reflectView.xy * 0.5 + 0.5, specularMIPLevel );\n\t\t\t#endif\n\t\t\tenvMapColor.rgb = envMapTexelToLinear( envMapColor ).rgb;\n\t\t#endif\n\t\treturn envMapColor.rgb * envMapIntensity;\n\t}\n#endif\n";
var equirect_frag = "uniform sampler2D tEquirect;\nvarying vec3 vWorldPosition;\n#include \nvoid main() {\n\tvec3 direction = normalize( vWorldPosition );\n\tvec2 sampleUV;\n\tsampleUV.y = asin( clamp( direction.y, - 1.0, 1.0 ) ) * RECIPROCAL_PI + 0.5;\n\tsampleUV.x = atan( direction.z, direction.x ) * RECIPROCAL_PI2 + 0.5;\n\tgl_FragColor = texture2D( tEquirect, sampleUV );\n}\n";
this._y = Math.asin( clamp( m13, - 1, 1 ) );
this._x = Math.asin( - clamp( m23, - 1, 1 ) );
this._x = Math.asin( clamp( m32, - 1, 1 ) );
this._y = Math.asin( - clamp( m31, - 1, 1 ) );
this._z = Math.asin( clamp( m21, - 1, 1 ) );
this._z = Math.asin( - clamp( m12, - 1, 1 ) );
@/lua/vehicle/ai.lua
local targetVec = targetPos - ego.pos; targetVec:normalize()
local dirAngle = asin(ego.rightVec:dot(targetVec))
-- https://physics.stackexchange.com/questions/312569/non-uniform-circular-motion-velocity-optimization
n1SpeedSq = min(n1.trafficSqVel, turnSpeedSq * sin(min(asin(min(1, square(n2.speed) / turnSpeedSq)) + 2 * curvature * n1.length, pi * 0.5)))
end
else -- speed limit imposed by other traffic vehicles and speed limit imposed by trajectory geometry (curvature and path length)
local n1LegalSpeedSq = min(n1.trafficSqVel, turnSpeedSq * sin(min(asin(min(1, square(n2.legalSpeed) / turnSpeedSq)) + 2 * curvature * n1.length, pi * 0.5)))
if n1.roadSpeedLimit then
@/lua/ge/extensions/core/cameraModes/orbit.lua
local nbase = base:normalized()
return math.atan2(-nbase:dot(nxn), nbase:dot(nyn)), math.asin(nbase:dot(nzn))
end
@/ui/modules/apps/SimplePitch/app.js
pitchDegrees = Math.asin(streams.sensors.pitch) * (180 / Math.PI)
circle.setAttribute('transform', 'rotate(' + pitchDegrees + rotateOriginStr + ')')
@/lua/ge/extensions/editor/gen/world.lua
local hyp = (dsc.av[i2] - dsc.av[i1]):length()
local yng = math.asin((dsc.av[i2].z - dsc.av[i1].z)/hyp)
if toflip then
-- lo('?? for_BANG:'..hyp..':'..dsc.tip)
local bng = -math.asin((dsc.av[i3].z - dsc.av[i2].z)/hyp)
@/lua/ge/extensions/editor/masterSpline/homologation.lua
bankComponent = clamp(bankComponent, -1, 1)
local signedBankDeg = deg(asin(bankComponent)) -- The signed bank angle in degrees.
@/lua/common/mathlib.lua
local yzsq = q.z*q.z - q.y*q.y
self.x, self.y, self.z = math.atan2(2*(q.x*q.y+q.w*q.z), wxsq-yzsq), math.asin(max(min(-2*(q.y*q.z-q.w*q.x), 1), -1)), math.atan2(2*(q.x*q.z+q.w*q.y), wxsq+yzsq)
end
@/lua/vehicle/recovery.lua
local dirLeft = dirUp:cross(dirFront)
local roll = math.deg(math.asin(dirLeft.z))
local pitch = math.deg(math.asin(dirFront.z))
local roll = math.deg(math.asin(dirLeft.z))
local pitch = math.deg(math.asin(dirFront.z))
if dirUp.z < 0 then -- if we are closer to upside down than to downside up
@/lua/vehicle/scriptai.lua
if leftVel * aiLeftVec:dot(targetPosOnLine - aiPos) > 0 then
local dirDiff = -math.asin(aiLeftVec:dot(targetaivec:normalized()))
local rotVel = min(1, (prevDirVec:projectToOriginPlane(aiUpVec):normalized() - aiDirVec):length() * dt * 10000)
local targetDirVec = (targetPos - aiPos):normalized()
local dirDiff = -math.asin(aiLeftVec:dot(targetDirVec))