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+/*
+ * Copyright (C) 2016 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+// Don't edit this file! It is auto-generated by frameworks/rs/api/generate.sh.
+
+/*
+ * rs_math.rsh: Mathematical Constants and Functions
+ *
+ * The mathematical functions below can be applied to scalars and vectors. When applied
+ * to vectors, the returned value is a vector of the function applied to each entry of the input.
+ *
+ * For example:
+ * float3 a, b;
+ * // The following call sets
+ * // a.x to sin(b.x),
+ * // a.y to sin(b.y), and
+ * // a.z to sin(b.z).
+ * a = sin(b);
+ *
+ *
+ * See Vector Math Functions for functions like distance() and length() that interpret
+ * instead the input as a single vector in n-dimensional space.
+ *
+ * The precision of the mathematical operations on 32 bit floats is affected by the pragmas
+ * rs_fp_relaxed and rs_fp_full. Under rs_fp_relaxed, subnormal values may be flushed to zero and
+ * rounding may be done towards zero. In comparison, rs_fp_full requires correct handling of
+ * subnormal values, i.e. smaller than 1.17549435e-38f. rs_fp_rull also requires round to nearest
+ * with ties to even.
+ *
+ * Different precision/speed tradeoffs can be achieved by using variants of the common math
+ * functions. Functions with a name starting with
+ * - native_: May have custom hardware implementations with weaker precision. Additionally,
+ * subnormal values may be flushed to zero, rounding towards zero may be used, and NaN and
+ * infinity input may not be handled correctly.
+ * - half_: May perform internal computations using 16 bit floats. Additionally, subnormal
+ * values may be flushed to zero, and rounding towards zero may be used.
+ *
+ */
+
+#ifndef RENDERSCRIPT_RS_MATH_RSH
+#define RENDERSCRIPT_RS_MATH_RSH
+
+/*
+ * M_1_PI: 1 / pi, as a 32 bit float
+ *
+ * The inverse of pi, as a 32 bit float.
+ */
+static const float M_1_PI = 0.318309886183790671537767526745028724f;
+
+/*
+ * M_2_PI: 2 / pi, as a 32 bit float
+ *
+ * 2 divided by pi, as a 32 bit float.
+ */
+static const float M_2_PI = 0.636619772367581343075535053490057448f;
+
+/*
+ * M_2_PIl: 2 / pi, as a 32 bit float
+ *
+ * DEPRECATED. Do not use.
+ *
+ * 2 divided by pi, as a 32 bit float.
+ */
+static const float M_2_PIl = 0.636619772367581343075535053490057448f;
+
+/*
+ * M_2_SQRTPI: 2 / sqrt(pi), as a 32 bit float
+ *
+ * 2 divided by the square root of pi, as a 32 bit float.
+ */
+static const float M_2_SQRTPI = 1.128379167095512573896158903121545172f;
+
+/*
+ * M_E: e, as a 32 bit float
+ *
+ * The number e, the base of the natural logarithm, as a 32 bit float.
+ */
+static const float M_E = 2.718281828459045235360287471352662498f;
+
+/*
+ * M_LN10: log_e(10), as a 32 bit float
+ *
+ * The natural logarithm of 10, as a 32 bit float.
+ */
+static const float M_LN10 = 2.302585092994045684017991454684364208f;
+
+/*
+ * M_LN2: log_e(2), as a 32 bit float
+ *
+ * The natural logarithm of 2, as a 32 bit float.
+ */
+static const float M_LN2 = 0.693147180559945309417232121458176568f;
+
+/*
+ * M_LOG10E: log_10(e), as a 32 bit float
+ *
+ * The logarithm base 10 of e, as a 32 bit float.
+ */
+static const float M_LOG10E = 0.434294481903251827651128918916605082f;
+
+/*
+ * M_LOG2E: log_2(e), as a 32 bit float
+ *
+ * The logarithm base 2 of e, as a 32 bit float.
+ */
+static const float M_LOG2E = 1.442695040888963407359924681001892137f;
+
+/*
+ * M_PI: pi, as a 32 bit float
+ *
+ * The constant pi, as a 32 bit float.
+ */
+static const float M_PI = 3.141592653589793238462643383279502884f;
+
+/*
+ * M_PI_2: pi / 2, as a 32 bit float
+ *
+ * Pi divided by 2, as a 32 bit float.
+ */
+static const float M_PI_2 = 1.570796326794896619231321691639751442f;
+
+/*
+ * M_PI_4: pi / 4, as a 32 bit float
+ *
+ * Pi divided by 4, as a 32 bit float.
+ */
+static const float M_PI_4 = 0.785398163397448309615660845819875721f;
+
+/*
+ * M_SQRT1_2: 1 / sqrt(2), as a 32 bit float
+ *
+ * The inverse of the square root of 2, as a 32 bit float.
+ */
+static const float M_SQRT1_2 = 0.707106781186547524400844362104849039f;
+
+/*
+ * M_SQRT2: sqrt(2), as a 32 bit float
+ *
+ * The square root of 2, as a 32 bit float.
+ */
+static const float M_SQRT2 = 1.414213562373095048801688724209698079f;
+
+/*
+ * abs: Absolute value of an integer
+ *
+ * Returns the absolute value of an integer.
+ *
+ * For floats, use fabs().
+ */
+extern uchar __attribute__((const, overloadable))
+ abs(char v);
+
+extern uchar2 __attribute__((const, overloadable))
+ abs(char2 v);
+
+extern uchar3 __attribute__((const, overloadable))
+ abs(char3 v);
+
+extern uchar4 __attribute__((const, overloadable))
+ abs(char4 v);
+
+extern ushort __attribute__((const, overloadable))
+ abs(short v);
+
+extern ushort2 __attribute__((const, overloadable))
+ abs(short2 v);
+
+extern ushort3 __attribute__((const, overloadable))
+ abs(short3 v);
+
+extern ushort4 __attribute__((const, overloadable))
+ abs(short4 v);
+
+extern uint __attribute__((const, overloadable))
+ abs(int v);
+
+extern uint2 __attribute__((const, overloadable))
+ abs(int2 v);
+
+extern uint3 __attribute__((const, overloadable))
+ abs(int3 v);
+
+extern uint4 __attribute__((const, overloadable))
+ abs(int4 v);
+
+/*
+ * acos: Inverse cosine
+ *
+ * Returns the inverse cosine, in radians.
+ *
+ * See also native_acos().
+ */
+extern float __attribute__((const, overloadable))
+ acos(float v);
+
+extern float2 __attribute__((const, overloadable))
+ acos(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ acos(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ acos(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ acos(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ acos(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ acos(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ acos(half4 v);
+#endif
+
+/*
+ * acosh: Inverse hyperbolic cosine
+ *
+ * Returns the inverse hyperbolic cosine, in radians.
+ *
+ * See also native_acosh().
+ */
+extern float __attribute__((const, overloadable))
+ acosh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ acosh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ acosh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ acosh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ acosh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ acosh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ acosh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ acosh(half4 v);
+#endif
+
+/*
+ * acospi: Inverse cosine divided by pi
+ *
+ * Returns the inverse cosine in radians, divided by pi.
+ *
+ * To get an inverse cosine measured in degrees, use acospi(a) * 180.f.
+ *
+ * See also native_acospi().
+ */
+extern float __attribute__((const, overloadable))
+ acospi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ acospi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ acospi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ acospi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ acospi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ acospi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ acospi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ acospi(half4 v);
+#endif
+
+/*
+ * asin: Inverse sine
+ *
+ * Returns the inverse sine, in radians.
+ *
+ * See also native_asin().
+ */
+extern float __attribute__((const, overloadable))
+ asin(float v);
+
+extern float2 __attribute__((const, overloadable))
+ asin(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ asin(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ asin(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ asin(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ asin(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ asin(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ asin(half4 v);
+#endif
+
+/*
+ * asinh: Inverse hyperbolic sine
+ *
+ * Returns the inverse hyperbolic sine, in radians.
+ *
+ * See also native_asinh().
+ */
+extern float __attribute__((const, overloadable))
+ asinh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ asinh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ asinh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ asinh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ asinh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ asinh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ asinh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ asinh(half4 v);
+#endif
+
+/*
+ * asinpi: Inverse sine divided by pi
+ *
+ * Returns the inverse sine in radians, divided by pi.
+ *
+ * To get an inverse sine measured in degrees, use asinpi(a) * 180.f.
+ *
+ * See also native_asinpi().
+ */
+extern float __attribute__((const, overloadable))
+ asinpi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ asinpi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ asinpi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ asinpi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ asinpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ asinpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ asinpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ asinpi(half4 v);
+#endif
+
+/*
+ * atan: Inverse tangent
+ *
+ * Returns the inverse tangent, in radians.
+ *
+ * See also native_atan().
+ */
+extern float __attribute__((const, overloadable))
+ atan(float v);
+
+extern float2 __attribute__((const, overloadable))
+ atan(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ atan(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ atan(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ atan(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ atan(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ atan(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ atan(half4 v);
+#endif
+
+/*
+ * atan2: Inverse tangent of a ratio
+ *
+ * Returns the inverse tangent of (numerator / denominator), in radians.
+ *
+ * See also native_atan2().
+ *
+ * Parameters:
+ * numerator: Numerator.
+ * denominator: Denominator. Can be 0.
+ */
+extern float __attribute__((const, overloadable))
+ atan2(float numerator, float denominator);
+
+extern float2 __attribute__((const, overloadable))
+ atan2(float2 numerator, float2 denominator);
+
+extern float3 __attribute__((const, overloadable))
+ atan2(float3 numerator, float3 denominator);
+
+extern float4 __attribute__((const, overloadable))
+ atan2(float4 numerator, float4 denominator);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ atan2(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ atan2(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ atan2(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ atan2(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * atan2pi: Inverse tangent of a ratio, divided by pi
+ *
+ * Returns the inverse tangent of (numerator / denominator), in radians, divided by pi.
+ *
+ * To get an inverse tangent measured in degrees, use atan2pi(n, d) * 180.f.
+ *
+ * See also native_atan2pi().
+ *
+ * Parameters:
+ * numerator: Numerator.
+ * denominator: Denominator. Can be 0.
+ */
+extern float __attribute__((const, overloadable))
+ atan2pi(float numerator, float denominator);
+
+extern float2 __attribute__((const, overloadable))
+ atan2pi(float2 numerator, float2 denominator);
+
+extern float3 __attribute__((const, overloadable))
+ atan2pi(float3 numerator, float3 denominator);
+
+extern float4 __attribute__((const, overloadable))
+ atan2pi(float4 numerator, float4 denominator);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ atan2pi(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ atan2pi(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ atan2pi(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ atan2pi(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * atanh: Inverse hyperbolic tangent
+ *
+ * Returns the inverse hyperbolic tangent, in radians.
+ *
+ * See also native_atanh().
+ */
+extern float __attribute__((const, overloadable))
+ atanh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ atanh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ atanh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ atanh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ atanh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ atanh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ atanh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ atanh(half4 v);
+#endif
+
+/*
+ * atanpi: Inverse tangent divided by pi
+ *
+ * Returns the inverse tangent in radians, divided by pi.
+ *
+ * To get an inverse tangent measured in degrees, use atanpi(a) * 180.f.
+ *
+ * See also native_atanpi().
+ */
+extern float __attribute__((const, overloadable))
+ atanpi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ atanpi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ atanpi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ atanpi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ atanpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ atanpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ atanpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ atanpi(half4 v);
+#endif
+
+/*
+ * cbrt: Cube root
+ *
+ * Returns the cube root.
+ *
+ * See also native_cbrt().
+ */
+extern float __attribute__((const, overloadable))
+ cbrt(float v);
+
+extern float2 __attribute__((const, overloadable))
+ cbrt(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ cbrt(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ cbrt(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ cbrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ cbrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ cbrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ cbrt(half4 v);
+#endif
+
+/*
+ * ceil: Smallest integer not less than a value
+ *
+ * Returns the smallest integer not less than a value.
+ *
+ * For example, ceil(1.2f) returns 2.f, and ceil(-1.2f) returns -1.f.
+ *
+ * See also floor().
+ */
+extern float __attribute__((const, overloadable))
+ ceil(float v);
+
+extern float2 __attribute__((const, overloadable))
+ ceil(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ ceil(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ ceil(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ ceil(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ ceil(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ ceil(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ ceil(half4 v);
+#endif
+
+/*
+ * clamp: Restrain a value to a range
+ *
+ * Clamps a value to a specified high and low bound. clamp() returns min_value
+ * if value < min_value, max_value if value > max_value, otherwise value.
+ *
+ * There are two variants of clamp: one where the min and max are scalars applied
+ * to all entries of the value, the other where the min and max are also vectors.
+ *
+ * If min_value is greater than max_value, the results are undefined.
+ *
+ * Parameters:
+ * value: Value to be clamped.
+ * min_value: Lower bound, a scalar or matching vector.
+ * max_value: High bound, must match the type of low.
+ */
+extern float __attribute__((const, overloadable))
+ clamp(float value, float min_value, float max_value);
+
+extern float2 __attribute__((const, overloadable))
+ clamp(float2 value, float2 min_value, float2 max_value);
+
+extern float3 __attribute__((const, overloadable))
+ clamp(float3 value, float3 min_value, float3 max_value);
+
+extern float4 __attribute__((const, overloadable))
+ clamp(float4 value, float4 min_value, float4 max_value);
+
+extern float2 __attribute__((const, overloadable))
+ clamp(float2 value, float min_value, float max_value);
+
+extern float3 __attribute__((const, overloadable))
+ clamp(float3 value, float min_value, float max_value);
+
+extern float4 __attribute__((const, overloadable))
+ clamp(float4 value, float min_value, float max_value);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char __attribute__((const, overloadable))
+ clamp(char value, char min_value, char max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char2 __attribute__((const, overloadable))
+ clamp(char2 value, char2 min_value, char2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char3 __attribute__((const, overloadable))
+ clamp(char3 value, char3 min_value, char3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char4 __attribute__((const, overloadable))
+ clamp(char4 value, char4 min_value, char4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar __attribute__((const, overloadable))
+ clamp(uchar value, uchar min_value, uchar max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar2 __attribute__((const, overloadable))
+ clamp(uchar2 value, uchar2 min_value, uchar2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar3 __attribute__((const, overloadable))
+ clamp(uchar3 value, uchar3 min_value, uchar3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar4 __attribute__((const, overloadable))
+ clamp(uchar4 value, uchar4 min_value, uchar4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short __attribute__((const, overloadable))
+ clamp(short value, short min_value, short max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short2 __attribute__((const, overloadable))
+ clamp(short2 value, short2 min_value, short2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short3 __attribute__((const, overloadable))
+ clamp(short3 value, short3 min_value, short3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short4 __attribute__((const, overloadable))
+ clamp(short4 value, short4 min_value, short4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort __attribute__((const, overloadable))
+ clamp(ushort value, ushort min_value, ushort max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort2 __attribute__((const, overloadable))
+ clamp(ushort2 value, ushort2 min_value, ushort2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort3 __attribute__((const, overloadable))
+ clamp(ushort3 value, ushort3 min_value, ushort3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort4 __attribute__((const, overloadable))
+ clamp(ushort4 value, ushort4 min_value, ushort4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int __attribute__((const, overloadable))
+ clamp(int value, int min_value, int max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int2 __attribute__((const, overloadable))
+ clamp(int2 value, int2 min_value, int2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int3 __attribute__((const, overloadable))
+ clamp(int3 value, int3 min_value, int3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int4 __attribute__((const, overloadable))
+ clamp(int4 value, int4 min_value, int4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint __attribute__((const, overloadable))
+ clamp(uint value, uint min_value, uint max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint2 __attribute__((const, overloadable))
+ clamp(uint2 value, uint2 min_value, uint2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint3 __attribute__((const, overloadable))
+ clamp(uint3 value, uint3 min_value, uint3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint4 __attribute__((const, overloadable))
+ clamp(uint4 value, uint4 min_value, uint4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long __attribute__((const, overloadable))
+ clamp(long value, long min_value, long max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long2 __attribute__((const, overloadable))
+ clamp(long2 value, long2 min_value, long2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long3 __attribute__((const, overloadable))
+ clamp(long3 value, long3 min_value, long3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long4 __attribute__((const, overloadable))
+ clamp(long4 value, long4 min_value, long4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong __attribute__((const, overloadable))
+ clamp(ulong value, ulong min_value, ulong max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong2 __attribute__((const, overloadable))
+ clamp(ulong2 value, ulong2 min_value, ulong2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong3 __attribute__((const, overloadable))
+ clamp(ulong3 value, ulong3 min_value, ulong3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong4 __attribute__((const, overloadable))
+ clamp(ulong4 value, ulong4 min_value, ulong4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char2 __attribute__((const, overloadable))
+ clamp(char2 value, char min_value, char max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char3 __attribute__((const, overloadable))
+ clamp(char3 value, char min_value, char max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern char4 __attribute__((const, overloadable))
+ clamp(char4 value, char min_value, char max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar2 __attribute__((const, overloadable))
+ clamp(uchar2 value, uchar min_value, uchar max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar3 __attribute__((const, overloadable))
+ clamp(uchar3 value, uchar min_value, uchar max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uchar4 __attribute__((const, overloadable))
+ clamp(uchar4 value, uchar min_value, uchar max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short2 __attribute__((const, overloadable))
+ clamp(short2 value, short min_value, short max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short3 __attribute__((const, overloadable))
+ clamp(short3 value, short min_value, short max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern short4 __attribute__((const, overloadable))
+ clamp(short4 value, short min_value, short max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort2 __attribute__((const, overloadable))
+ clamp(ushort2 value, ushort min_value, ushort max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort3 __attribute__((const, overloadable))
+ clamp(ushort3 value, ushort min_value, ushort max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ushort4 __attribute__((const, overloadable))
+ clamp(ushort4 value, ushort min_value, ushort max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int2 __attribute__((const, overloadable))
+ clamp(int2 value, int min_value, int max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int3 __attribute__((const, overloadable))
+ clamp(int3 value, int min_value, int max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern int4 __attribute__((const, overloadable))
+ clamp(int4 value, int min_value, int max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint2 __attribute__((const, overloadable))
+ clamp(uint2 value, uint min_value, uint max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint3 __attribute__((const, overloadable))
+ clamp(uint3 value, uint min_value, uint max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern uint4 __attribute__((const, overloadable))
+ clamp(uint4 value, uint min_value, uint max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long2 __attribute__((const, overloadable))
+ clamp(long2 value, long min_value, long max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long3 __attribute__((const, overloadable))
+ clamp(long3 value, long min_value, long max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern long4 __attribute__((const, overloadable))
+ clamp(long4 value, long min_value, long max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong2 __attribute__((const, overloadable))
+ clamp(ulong2 value, ulong min_value, ulong max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong3 __attribute__((const, overloadable))
+ clamp(ulong3 value, ulong min_value, ulong max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 19))
+extern ulong4 __attribute__((const, overloadable))
+ clamp(ulong4 value, ulong min_value, ulong max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ clamp(half value, half min_value, half max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ clamp(half2 value, half2 min_value, half2 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ clamp(half3 value, half3 min_value, half3 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ clamp(half4 value, half4 min_value, half4 max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ clamp(half2 value, half min_value, half max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ clamp(half3 value, half min_value, half max_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ clamp(half4 value, half min_value, half max_value);
+#endif
+
+/*
+ * clz: Number of leading 0 bits
+ *
+ * Returns the number of leading 0-bits in a value.
+ *
+ * For example, clz((char)0x03) returns 6.
+ */
+extern char __attribute__((const, overloadable))
+ clz(char value);
+
+extern char2 __attribute__((const, overloadable))
+ clz(char2 value);
+
+extern char3 __attribute__((const, overloadable))
+ clz(char3 value);
+
+extern char4 __attribute__((const, overloadable))
+ clz(char4 value);
+
+extern uchar __attribute__((const, overloadable))
+ clz(uchar value);
+
+extern uchar2 __attribute__((const, overloadable))
+ clz(uchar2 value);
+
+extern uchar3 __attribute__((const, overloadable))
+ clz(uchar3 value);
+
+extern uchar4 __attribute__((const, overloadable))
+ clz(uchar4 value);
+
+extern short __attribute__((const, overloadable))
+ clz(short value);
+
+extern short2 __attribute__((const, overloadable))
+ clz(short2 value);
+
+extern short3 __attribute__((const, overloadable))
+ clz(short3 value);
+
+extern short4 __attribute__((const, overloadable))
+ clz(short4 value);
+
+extern ushort __attribute__((const, overloadable))
+ clz(ushort value);
+
+extern ushort2 __attribute__((const, overloadable))
+ clz(ushort2 value);
+
+extern ushort3 __attribute__((const, overloadable))
+ clz(ushort3 value);
+
+extern ushort4 __attribute__((const, overloadable))
+ clz(ushort4 value);
+
+extern int __attribute__((const, overloadable))
+ clz(int value);
+
+extern int2 __attribute__((const, overloadable))
+ clz(int2 value);
+
+extern int3 __attribute__((const, overloadable))
+ clz(int3 value);
+
+extern int4 __attribute__((const, overloadable))
+ clz(int4 value);
+
+extern uint __attribute__((const, overloadable))
+ clz(uint value);
+
+extern uint2 __attribute__((const, overloadable))
+ clz(uint2 value);
+
+extern uint3 __attribute__((const, overloadable))
+ clz(uint3 value);
+
+extern uint4 __attribute__((const, overloadable))
+ clz(uint4 value);
+
+/*
+ * copysign: Copies the sign of a number to another
+ *
+ * Copies the sign from sign_value to magnitude_value.
+ *
+ * The value returned is either magnitude_value or -magnitude_value.
+ *
+ * For example, copysign(4.0f, -2.7f) returns -4.0f and copysign(-4.0f, 2.7f) returns 4.0f.
+ */
+extern float __attribute__((const, overloadable))
+ copysign(float magnitude_value, float sign_value);
+
+extern float2 __attribute__((const, overloadable))
+ copysign(float2 magnitude_value, float2 sign_value);
+
+extern float3 __attribute__((const, overloadable))
+ copysign(float3 magnitude_value, float3 sign_value);
+
+extern float4 __attribute__((const, overloadable))
+ copysign(float4 magnitude_value, float4 sign_value);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ copysign(half magnitude_value, half sign_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ copysign(half2 magnitude_value, half2 sign_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ copysign(half3 magnitude_value, half3 sign_value);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ copysign(half4 magnitude_value, half4 sign_value);
+#endif
+
+/*
+ * cos: Cosine
+ *
+ * Returns the cosine of an angle measured in radians.
+ *
+ * See also native_cos().
+ */
+extern float __attribute__((const, overloadable))
+ cos(float v);
+
+extern float2 __attribute__((const, overloadable))
+ cos(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ cos(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ cos(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ cos(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ cos(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ cos(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ cos(half4 v);
+#endif
+
+/*
+ * cosh: Hypebolic cosine
+ *
+ * Returns the hypebolic cosine of v, where v is measured in radians.
+ *
+ * See also native_cosh().
+ */
+extern float __attribute__((const, overloadable))
+ cosh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ cosh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ cosh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ cosh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ cosh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ cosh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ cosh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ cosh(half4 v);
+#endif
+
+/*
+ * cospi: Cosine of a number multiplied by pi
+ *
+ * Returns the cosine of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the cosine of a value measured in degrees, call cospi(v / 180.f).
+ *
+ * See also native_cospi().
+ */
+extern float __attribute__((const, overloadable))
+ cospi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ cospi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ cospi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ cospi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ cospi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ cospi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ cospi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ cospi(half4 v);
+#endif
+
+/*
+ * degrees: Converts radians into degrees
+ *
+ * Converts from radians to degrees.
+ */
+extern float __attribute__((const, overloadable))
+ degrees(float v);
+
+extern float2 __attribute__((const, overloadable))
+ degrees(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ degrees(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ degrees(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ degrees(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ degrees(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ degrees(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ degrees(half4 v);
+#endif
+
+/*
+ * erf: Mathematical error function
+ *
+ * Returns the error function.
+ */
+extern float __attribute__((const, overloadable))
+ erf(float v);
+
+extern float2 __attribute__((const, overloadable))
+ erf(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ erf(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ erf(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ erf(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ erf(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ erf(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ erf(half4 v);
+#endif
+
+/*
+ * erfc: Mathematical complementary error function
+ *
+ * Returns the complementary error function.
+ */
+extern float __attribute__((const, overloadable))
+ erfc(float v);
+
+extern float2 __attribute__((const, overloadable))
+ erfc(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ erfc(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ erfc(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ erfc(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ erfc(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ erfc(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ erfc(half4 v);
+#endif
+
+/*
+ * exp: e raised to a number
+ *
+ * Returns e raised to v, i.e. e ^ v.
+ *
+ * See also native_exp().
+ */
+extern float __attribute__((const, overloadable))
+ exp(float v);
+
+extern float2 __attribute__((const, overloadable))
+ exp(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ exp(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ exp(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ exp(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ exp(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ exp(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ exp(half4 v);
+#endif
+
+/*
+ * exp10: 10 raised to a number
+ *
+ * Returns 10 raised to v, i.e. 10.f ^ v.
+ *
+ * See also native_exp10().
+ */
+extern float __attribute__((const, overloadable))
+ exp10(float v);
+
+extern float2 __attribute__((const, overloadable))
+ exp10(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ exp10(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ exp10(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ exp10(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ exp10(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ exp10(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ exp10(half4 v);
+#endif
+
+/*
+ * exp2: 2 raised to a number
+ *
+ * Returns 2 raised to v, i.e. 2.f ^ v.
+ *
+ * See also native_exp2().
+ */
+extern float __attribute__((const, overloadable))
+ exp2(float v);
+
+extern float2 __attribute__((const, overloadable))
+ exp2(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ exp2(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ exp2(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ exp2(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ exp2(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ exp2(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ exp2(half4 v);
+#endif
+
+/*
+ * expm1: e raised to a number minus one
+ *
+ * Returns e raised to v minus 1, i.e. (e ^ v) - 1.
+ *
+ * See also native_expm1().
+ */
+extern float __attribute__((const, overloadable))
+ expm1(float v);
+
+extern float2 __attribute__((const, overloadable))
+ expm1(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ expm1(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ expm1(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ expm1(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ expm1(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ expm1(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ expm1(half4 v);
+#endif
+
+/*
+ * fabs: Absolute value of a float
+ *
+ * Returns the absolute value of the float v.
+ *
+ * For integers, use abs().
+ */
+extern float __attribute__((const, overloadable))
+ fabs(float v);
+
+extern float2 __attribute__((const, overloadable))
+ fabs(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ fabs(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ fabs(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fabs(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fabs(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fabs(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fabs(half4 v);
+#endif
+
+/*
+ * fdim: Positive difference between two values
+ *
+ * Returns the positive difference between two values.
+ *
+ * If a > b, returns (a - b) otherwise returns 0f.
+ */
+extern float __attribute__((const, overloadable))
+ fdim(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ fdim(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ fdim(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ fdim(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fdim(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fdim(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fdim(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fdim(half4 a, half4 b);
+#endif
+
+/*
+ * floor: Smallest integer not greater than a value
+ *
+ * Returns the smallest integer not greater than a value.
+ *
+ * For example, floor(1.2f) returns 1.f, and floor(-1.2f) returns -2.f.
+ *
+ * See also ceil().
+ */
+extern float __attribute__((const, overloadable))
+ floor(float v);
+
+extern float2 __attribute__((const, overloadable))
+ floor(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ floor(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ floor(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ floor(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ floor(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ floor(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ floor(half4 v);
+#endif
+
+/*
+ * fma: Multiply and add
+ *
+ * Multiply and add. Returns (multiplicand1 * multiplicand2) + offset.
+ *
+ * This function is similar to mad(). fma() retains full precision of the multiplied result
+ * and rounds only after the addition. mad() rounds after the multiplication and the addition.
+ * This extra precision is not guaranteed in rs_fp_relaxed mode.
+ */
+extern float __attribute__((const, overloadable))
+ fma(float multiplicand1, float multiplicand2, float offset);
+
+extern float2 __attribute__((const, overloadable))
+ fma(float2 multiplicand1, float2 multiplicand2, float2 offset);
+
+extern float3 __attribute__((const, overloadable))
+ fma(float3 multiplicand1, float3 multiplicand2, float3 offset);
+
+extern float4 __attribute__((const, overloadable))
+ fma(float4 multiplicand1, float4 multiplicand2, float4 offset);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fma(half multiplicand1, half multiplicand2, half offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fma(half2 multiplicand1, half2 multiplicand2, half2 offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fma(half3 multiplicand1, half3 multiplicand2, half3 offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fma(half4 multiplicand1, half4 multiplicand2, half4 offset);
+#endif
+
+/*
+ * fmax: Maximum of two floats
+ *
+ * Returns the maximum of a and b, i.e. (a < b ? b : a).
+ *
+ * The max() function returns identical results but can be applied to more data types.
+ */
+extern float __attribute__((const, overloadable))
+ fmax(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ fmax(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ fmax(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ fmax(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fmax(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fmax(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fmax(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fmax(half4 a, half4 b);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ fmax(float2 a, float b);
+
+extern float3 __attribute__((const, overloadable))
+ fmax(float3 a, float b);
+
+extern float4 __attribute__((const, overloadable))
+ fmax(float4 a, float b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fmax(half2 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fmax(half3 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fmax(half4 a, half b);
+#endif
+
+/*
+ * fmin: Minimum of two floats
+ *
+ * Returns the minimum of a and b, i.e. (a > b ? b : a).
+ *
+ * The min() function returns identical results but can be applied to more data types.
+ */
+extern float __attribute__((const, overloadable))
+ fmin(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ fmin(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ fmin(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ fmin(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fmin(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fmin(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fmin(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fmin(half4 a, half4 b);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ fmin(float2 a, float b);
+
+extern float3 __attribute__((const, overloadable))
+ fmin(float3 a, float b);
+
+extern float4 __attribute__((const, overloadable))
+ fmin(float4 a, float b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fmin(half2 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fmin(half3 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fmin(half4 a, half b);
+#endif
+
+/*
+ * fmod: Modulo
+ *
+ * Returns the remainder of (numerator / denominator), where the quotient is rounded towards zero.
+ *
+ * The function remainder() is similar but rounds toward the closest interger.
+ * For example, fmod(-3.8f, 2.f) returns -1.8f (-3.8f - -1.f * 2.f)
+ * while remainder(-3.8f, 2.f) returns 0.2f (-3.8f - -2.f * 2.f).
+ */
+extern float __attribute__((const, overloadable))
+ fmod(float numerator, float denominator);
+
+extern float2 __attribute__((const, overloadable))
+ fmod(float2 numerator, float2 denominator);
+
+extern float3 __attribute__((const, overloadable))
+ fmod(float3 numerator, float3 denominator);
+
+extern float4 __attribute__((const, overloadable))
+ fmod(float4 numerator, float4 denominator);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ fmod(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ fmod(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ fmod(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ fmod(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * fract: Positive fractional part
+ *
+ * Returns the positive fractional part of v, i.e. v - floor(v).
+ *
+ * For example, fract(1.3f, &val) returns 0.3f and sets val to 1.f.
+ * fract(-1.3f, &val) returns 0.7f and sets val to -2.f.
+ *
+ * Parameters:
+ * v: Input value.
+ * floor: If floor is not null, *floor will be set to the floor of v.
+ */
+extern float __attribute__((overloadable))
+ fract(float v, float* floor);
+
+extern float2 __attribute__((overloadable))
+ fract(float2 v, float2* floor);
+
+extern float3 __attribute__((overloadable))
+ fract(float3 v, float3* floor);
+
+extern float4 __attribute__((overloadable))
+ fract(float4 v, float4* floor);
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 23)
+static inline float __attribute__((const, overloadable))
+ fract(float v) {
+ float unused;
+ return fract(v, &unused);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 23)
+static inline float2 __attribute__((const, overloadable))
+ fract(float2 v) {
+ float2 unused;
+ return fract(v, &unused);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 23)
+static inline float3 __attribute__((const, overloadable))
+ fract(float3 v) {
+ float3 unused;
+ return fract(v, &unused);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 23)
+static inline float4 __attribute__((const, overloadable))
+ fract(float4 v) {
+ float4 unused;
+ return fract(v, &unused);
+}
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern float __attribute__((overloadable))
+ fract(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern float2 __attribute__((overloadable))
+ fract(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern float3 __attribute__((overloadable))
+ fract(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern float4 __attribute__((overloadable))
+ fract(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ fract(half v, half* floor);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ fract(half2 v, half2* floor);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ fract(half3 v, half3* floor);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ fract(half4 v, half4* floor);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ fract(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ fract(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ fract(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ fract(half4 v);
+#endif
+
+/*
+ * frexp: Binary mantissa and exponent
+ *
+ * Returns the binary mantissa and exponent of v, i.e. v == mantissa * 2 ^ exponent.
+ *
+ * The mantissa is always between 0.5 (inclusive) and 1.0 (exclusive).
+ *
+ * See ldexp() for the reverse operation. See also logb() and ilogb().
+ *
+ * Parameters:
+ * v: Input value.
+ * exponent: If exponent is not null, *exponent will be set to the exponent of v.
+ */
+extern float __attribute__((overloadable))
+ frexp(float v, int* exponent);
+
+extern float2 __attribute__((overloadable))
+ frexp(float2 v, int2* exponent);
+
+extern float3 __attribute__((overloadable))
+ frexp(float3 v, int3* exponent);
+
+extern float4 __attribute__((overloadable))
+ frexp(float4 v, int4* exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ frexp(half v, int* exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ frexp(half2 v, int2* exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ frexp(half3 v, int3* exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ frexp(half4 v, int4* exponent);
+#endif
+
+/*
+ * half_recip: Reciprocal computed to 16 bit precision
+ *
+ * Returns the approximate reciprocal of a value.
+ *
+ * The precision is that of a 16 bit floating point value.
+ *
+ * See also native_recip().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float __attribute__((const, overloadable))
+ half_recip(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float2 __attribute__((const, overloadable))
+ half_recip(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float3 __attribute__((const, overloadable))
+ half_recip(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float4 __attribute__((const, overloadable))
+ half_recip(float4 v);
+#endif
+
+/*
+ * half_rsqrt: Reciprocal of a square root computed to 16 bit precision
+ *
+ * Returns the approximate value of (1.f / sqrt(value)).
+ *
+ * The precision is that of a 16 bit floating point value.
+ *
+ * See also rsqrt(), native_rsqrt().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float __attribute__((const, overloadable))
+ half_rsqrt(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float2 __attribute__((const, overloadable))
+ half_rsqrt(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float3 __attribute__((const, overloadable))
+ half_rsqrt(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float4 __attribute__((const, overloadable))
+ half_rsqrt(float4 v);
+#endif
+
+/*
+ * half_sqrt: Square root computed to 16 bit precision
+ *
+ * Returns the approximate square root of a value.
+ *
+ * The precision is that of a 16 bit floating point value.
+ *
+ * See also sqrt(), native_sqrt().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float __attribute__((const, overloadable))
+ half_sqrt(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float2 __attribute__((const, overloadable))
+ half_sqrt(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float3 __attribute__((const, overloadable))
+ half_sqrt(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 17))
+extern float4 __attribute__((const, overloadable))
+ half_sqrt(float4 v);
+#endif
+
+/*
+ * hypot: Hypotenuse
+ *
+ * Returns the hypotenuse, i.e. sqrt(a * a + b * b).
+ *
+ * See also native_hypot().
+ */
+extern float __attribute__((const, overloadable))
+ hypot(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ hypot(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ hypot(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ hypot(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ hypot(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ hypot(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ hypot(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ hypot(half4 a, half4 b);
+#endif
+
+/*
+ * ilogb: Base two exponent
+ *
+ * Returns the base two exponent of a value, where the mantissa is between
+ * 1.f (inclusive) and 2.f (exclusive).
+ *
+ * For example, ilogb(8.5f) returns 3.
+ *
+ * Because of the difference in mantissa, this number is one less than is returned by frexp().
+ *
+ * logb() is similar but returns a float.
+ */
+extern int __attribute__((const, overloadable))
+ ilogb(float v);
+
+extern int2 __attribute__((const, overloadable))
+ ilogb(float2 v);
+
+extern int3 __attribute__((const, overloadable))
+ ilogb(float3 v);
+
+extern int4 __attribute__((const, overloadable))
+ ilogb(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern int __attribute__((const, overloadable))
+ ilogb(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern int2 __attribute__((const, overloadable))
+ ilogb(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern int3 __attribute__((const, overloadable))
+ ilogb(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern int4 __attribute__((const, overloadable))
+ ilogb(half4 v);
+#endif
+
+/*
+ * ldexp: Creates a floating point from mantissa and exponent
+ *
+ * Returns the floating point created from the mantissa and exponent,
+ * i.e. (mantissa * 2 ^ exponent).
+ *
+ * See frexp() for the reverse operation.
+ *
+ * Parameters:
+ * mantissa: Mantissa.
+ * exponent: Exponent, a single component or matching vector.
+ */
+extern float __attribute__((const, overloadable))
+ ldexp(float mantissa, int exponent);
+
+extern float2 __attribute__((const, overloadable))
+ ldexp(float2 mantissa, int2 exponent);
+
+extern float3 __attribute__((const, overloadable))
+ ldexp(float3 mantissa, int3 exponent);
+
+extern float4 __attribute__((const, overloadable))
+ ldexp(float4 mantissa, int4 exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ ldexp(half mantissa, int exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ ldexp(half2 mantissa, int2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ ldexp(half3 mantissa, int3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ ldexp(half4 mantissa, int4 exponent);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ ldexp(float2 mantissa, int exponent);
+
+extern float3 __attribute__((const, overloadable))
+ ldexp(float3 mantissa, int exponent);
+
+extern float4 __attribute__((const, overloadable))
+ ldexp(float4 mantissa, int exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ ldexp(half2 mantissa, int exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ ldexp(half3 mantissa, int exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ ldexp(half4 mantissa, int exponent);
+#endif
+
+/*
+ * lgamma: Natural logarithm of the gamma function
+ *
+ * Returns the natural logarithm of the absolute value of the gamma function,
+ * i.e. log(fabs(tgamma(v))).
+ *
+ * See also tgamma().
+ *
+ * Parameters:
+ * sign_of_gamma: If sign_of_gamma is not null, *sign_of_gamma will be set to -1.f if the gamma of v is negative, otherwise to 1.f.
+ */
+extern float __attribute__((const, overloadable))
+ lgamma(float v);
+
+extern float2 __attribute__((const, overloadable))
+ lgamma(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ lgamma(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ lgamma(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ lgamma(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ lgamma(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ lgamma(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ lgamma(half4 v);
+#endif
+
+extern float __attribute__((overloadable))
+ lgamma(float v, int* sign_of_gamma);
+
+extern float2 __attribute__((overloadable))
+ lgamma(float2 v, int2* sign_of_gamma);
+
+extern float3 __attribute__((overloadable))
+ lgamma(float3 v, int3* sign_of_gamma);
+
+extern float4 __attribute__((overloadable))
+ lgamma(float4 v, int4* sign_of_gamma);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ lgamma(half v, int* sign_of_gamma);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ lgamma(half2 v, int2* sign_of_gamma);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ lgamma(half3 v, int3* sign_of_gamma);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ lgamma(half4 v, int4* sign_of_gamma);
+#endif
+
+/*
+ * log: Natural logarithm
+ *
+ * Returns the natural logarithm.
+ *
+ * See also native_log().
+ */
+extern float __attribute__((const, overloadable))
+ log(float v);
+
+extern float2 __attribute__((const, overloadable))
+ log(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ log(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ log(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ log(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ log(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ log(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ log(half4 v);
+#endif
+
+/*
+ * log10: Base 10 logarithm
+ *
+ * Returns the base 10 logarithm.
+ *
+ * See also native_log10().
+ */
+extern float __attribute__((const, overloadable))
+ log10(float v);
+
+extern float2 __attribute__((const, overloadable))
+ log10(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ log10(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ log10(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ log10(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ log10(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ log10(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ log10(half4 v);
+#endif
+
+/*
+ * log1p: Natural logarithm of a value plus 1
+ *
+ * Returns the natural logarithm of (v + 1.f).
+ *
+ * See also native_log1p().
+ */
+extern float __attribute__((const, overloadable))
+ log1p(float v);
+
+extern float2 __attribute__((const, overloadable))
+ log1p(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ log1p(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ log1p(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ log1p(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ log1p(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ log1p(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ log1p(half4 v);
+#endif
+
+/*
+ * log2: Base 2 logarithm
+ *
+ * Returns the base 2 logarithm.
+ *
+ * See also native_log2().
+ */
+extern float __attribute__((const, overloadable))
+ log2(float v);
+
+extern float2 __attribute__((const, overloadable))
+ log2(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ log2(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ log2(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ log2(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ log2(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ log2(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ log2(half4 v);
+#endif
+
+/*
+ * logb: Base two exponent
+ *
+ * Returns the base two exponent of a value, where the mantissa is between
+ * 1.f (inclusive) and 2.f (exclusive).
+ *
+ * For example, logb(8.5f) returns 3.f.
+ *
+ * Because of the difference in mantissa, this number is one less than is returned by frexp().
+ *
+ * ilogb() is similar but returns an integer.
+ */
+extern float __attribute__((const, overloadable))
+ logb(float v);
+
+extern float2 __attribute__((const, overloadable))
+ logb(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ logb(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ logb(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ logb(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ logb(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ logb(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ logb(half4 v);
+#endif
+
+/*
+ * mad: Multiply and add
+ *
+ * Multiply and add. Returns (multiplicand1 * multiplicand2) + offset.
+ *
+ * This function is similar to fma(). fma() retains full precision of the multiplied result
+ * and rounds only after the addition. mad() rounds after the multiplication and the addition.
+ * In rs_fp_relaxed mode, mad() may not do the rounding after multiplicaiton.
+ */
+extern float __attribute__((const, overloadable))
+ mad(float multiplicand1, float multiplicand2, float offset);
+
+extern float2 __attribute__((const, overloadable))
+ mad(float2 multiplicand1, float2 multiplicand2, float2 offset);
+
+extern float3 __attribute__((const, overloadable))
+ mad(float3 multiplicand1, float3 multiplicand2, float3 offset);
+
+extern float4 __attribute__((const, overloadable))
+ mad(float4 multiplicand1, float4 multiplicand2, float4 offset);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ mad(half multiplicand1, half multiplicand2, half offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ mad(half2 multiplicand1, half2 multiplicand2, half2 offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ mad(half3 multiplicand1, half3 multiplicand2, half3 offset);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ mad(half4 multiplicand1, half4 multiplicand2, half4 offset);
+#endif
+
+/*
+ * max: Maximum
+ *
+ * Returns the maximum value of two arguments.
+ */
+extern float __attribute__((const, overloadable))
+ max(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ max(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ max(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ max(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ max(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ max(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ max(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ max(half4 a, half4 b);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ max(float2 a, float b);
+
+extern float3 __attribute__((const, overloadable))
+ max(float3 a, float b);
+
+extern float4 __attribute__((const, overloadable))
+ max(float4 a, float b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ max(half2 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ max(half3 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ max(half4 a, half b);
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char __attribute__((const, overloadable))
+ max(char a, char b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar __attribute__((const, overloadable))
+ max(uchar a, uchar b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short __attribute__((const, overloadable))
+ max(short a, short b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort __attribute__((const, overloadable))
+ max(ushort a, ushort b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int __attribute__((const, overloadable))
+ max(int a, int b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint __attribute__((const, overloadable))
+ max(uint a, uint b) {
+ return (a > b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char2 __attribute__((const, overloadable))
+ max(char2 a, char2 b) {
+ char2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar2 __attribute__((const, overloadable))
+ max(uchar2 a, uchar2 b) {
+ uchar2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short2 __attribute__((const, overloadable))
+ max(short2 a, short2 b) {
+ short2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort2 __attribute__((const, overloadable))
+ max(ushort2 a, ushort2 b) {
+ ushort2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int2 __attribute__((const, overloadable))
+ max(int2 a, int2 b) {
+ int2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint2 __attribute__((const, overloadable))
+ max(uint2 a, uint2 b) {
+ uint2 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char3 __attribute__((const, overloadable))
+ max(char3 a, char3 b) {
+ char3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar3 __attribute__((const, overloadable))
+ max(uchar3 a, uchar3 b) {
+ uchar3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short3 __attribute__((const, overloadable))
+ max(short3 a, short3 b) {
+ short3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort3 __attribute__((const, overloadable))
+ max(ushort3 a, ushort3 b) {
+ ushort3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int3 __attribute__((const, overloadable))
+ max(int3 a, int3 b) {
+ int3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint3 __attribute__((const, overloadable))
+ max(uint3 a, uint3 b) {
+ uint3 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char4 __attribute__((const, overloadable))
+ max(char4 a, char4 b) {
+ char4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar4 __attribute__((const, overloadable))
+ max(uchar4 a, uchar4 b) {
+ uchar4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short4 __attribute__((const, overloadable))
+ max(short4 a, short4 b) {
+ short4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort4 __attribute__((const, overloadable))
+ max(ushort4 a, ushort4 b) {
+ ushort4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int4 __attribute__((const, overloadable))
+ max(int4 a, int4 b) {
+ int4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint4 __attribute__((const, overloadable))
+ max(uint4 a, uint4 b) {
+ uint4 tmp;
+ tmp.x = (a.x > b.x ? a.x : b.x);
+ tmp.y = (a.y > b.y ? a.y : b.y);
+ tmp.z = (a.z > b.z ? a.z : b.z);
+ tmp.w = (a.w > b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char __attribute__((const, overloadable))
+ max(char a, char b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char2 __attribute__((const, overloadable))
+ max(char2 a, char2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char3 __attribute__((const, overloadable))
+ max(char3 a, char3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char4 __attribute__((const, overloadable))
+ max(char4 a, char4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar __attribute__((const, overloadable))
+ max(uchar a, uchar b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar2 __attribute__((const, overloadable))
+ max(uchar2 a, uchar2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar3 __attribute__((const, overloadable))
+ max(uchar3 a, uchar3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar4 __attribute__((const, overloadable))
+ max(uchar4 a, uchar4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short __attribute__((const, overloadable))
+ max(short a, short b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short2 __attribute__((const, overloadable))
+ max(short2 a, short2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short3 __attribute__((const, overloadable))
+ max(short3 a, short3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short4 __attribute__((const, overloadable))
+ max(short4 a, short4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort __attribute__((const, overloadable))
+ max(ushort a, ushort b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort2 __attribute__((const, overloadable))
+ max(ushort2 a, ushort2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort3 __attribute__((const, overloadable))
+ max(ushort3 a, ushort3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort4 __attribute__((const, overloadable))
+ max(ushort4 a, ushort4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int __attribute__((const, overloadable))
+ max(int a, int b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int2 __attribute__((const, overloadable))
+ max(int2 a, int2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int3 __attribute__((const, overloadable))
+ max(int3 a, int3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int4 __attribute__((const, overloadable))
+ max(int4 a, int4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint __attribute__((const, overloadable))
+ max(uint a, uint b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint2 __attribute__((const, overloadable))
+ max(uint2 a, uint2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint3 __attribute__((const, overloadable))
+ max(uint3 a, uint3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint4 __attribute__((const, overloadable))
+ max(uint4 a, uint4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long __attribute__((const, overloadable))
+ max(long a, long b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long2 __attribute__((const, overloadable))
+ max(long2 a, long2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long3 __attribute__((const, overloadable))
+ max(long3 a, long3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long4 __attribute__((const, overloadable))
+ max(long4 a, long4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong __attribute__((const, overloadable))
+ max(ulong a, ulong b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong2 __attribute__((const, overloadable))
+ max(ulong2 a, ulong2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong3 __attribute__((const, overloadable))
+ max(ulong3 a, ulong3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong4 __attribute__((const, overloadable))
+ max(ulong4 a, ulong4 b);
+#endif
+
+/*
+ * min: Minimum
+ *
+ * Returns the minimum value of two arguments.
+ */
+extern float __attribute__((const, overloadable))
+ min(float a, float b);
+
+extern float2 __attribute__((const, overloadable))
+ min(float2 a, float2 b);
+
+extern float3 __attribute__((const, overloadable))
+ min(float3 a, float3 b);
+
+extern float4 __attribute__((const, overloadable))
+ min(float4 a, float4 b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ min(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ min(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ min(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ min(half4 a, half4 b);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ min(float2 a, float b);
+
+extern float3 __attribute__((const, overloadable))
+ min(float3 a, float b);
+
+extern float4 __attribute__((const, overloadable))
+ min(float4 a, float b);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ min(half2 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ min(half3 a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ min(half4 a, half b);
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char __attribute__((const, overloadable))
+ min(char a, char b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar __attribute__((const, overloadable))
+ min(uchar a, uchar b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short __attribute__((const, overloadable))
+ min(short a, short b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort __attribute__((const, overloadable))
+ min(ushort a, ushort b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int __attribute__((const, overloadable))
+ min(int a, int b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint __attribute__((const, overloadable))
+ min(uint a, uint b) {
+ return (a < b ? a : b);
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char2 __attribute__((const, overloadable))
+ min(char2 a, char2 b) {
+ char2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar2 __attribute__((const, overloadable))
+ min(uchar2 a, uchar2 b) {
+ uchar2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short2 __attribute__((const, overloadable))
+ min(short2 a, short2 b) {
+ short2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort2 __attribute__((const, overloadable))
+ min(ushort2 a, ushort2 b) {
+ ushort2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int2 __attribute__((const, overloadable))
+ min(int2 a, int2 b) {
+ int2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint2 __attribute__((const, overloadable))
+ min(uint2 a, uint2 b) {
+ uint2 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char3 __attribute__((const, overloadable))
+ min(char3 a, char3 b) {
+ char3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar3 __attribute__((const, overloadable))
+ min(uchar3 a, uchar3 b) {
+ uchar3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short3 __attribute__((const, overloadable))
+ min(short3 a, short3 b) {
+ short3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort3 __attribute__((const, overloadable))
+ min(ushort3 a, ushort3 b) {
+ ushort3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int3 __attribute__((const, overloadable))
+ min(int3 a, int3 b) {
+ int3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint3 __attribute__((const, overloadable))
+ min(uint3 a, uint3 b) {
+ uint3 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline char4 __attribute__((const, overloadable))
+ min(char4 a, char4 b) {
+ char4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uchar4 __attribute__((const, overloadable))
+ min(uchar4 a, uchar4 b) {
+ uchar4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline short4 __attribute__((const, overloadable))
+ min(short4 a, short4 b) {
+ short4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline ushort4 __attribute__((const, overloadable))
+ min(ushort4 a, ushort4 b) {
+ ushort4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline int4 __attribute__((const, overloadable))
+ min(int4 a, int4 b) {
+ int4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if !defined(RS_VERSION) || (RS_VERSION <= 20)
+static inline uint4 __attribute__((const, overloadable))
+ min(uint4 a, uint4 b) {
+ uint4 tmp;
+ tmp.x = (a.x < b.x ? a.x : b.x);
+ tmp.y = (a.y < b.y ? a.y : b.y);
+ tmp.z = (a.z < b.z ? a.z : b.z);
+ tmp.w = (a.w < b.w ? a.w : b.w);
+ return tmp;
+}
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char __attribute__((const, overloadable))
+ min(char a, char b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char2 __attribute__((const, overloadable))
+ min(char2 a, char2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char3 __attribute__((const, overloadable))
+ min(char3 a, char3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern char4 __attribute__((const, overloadable))
+ min(char4 a, char4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar __attribute__((const, overloadable))
+ min(uchar a, uchar b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar2 __attribute__((const, overloadable))
+ min(uchar2 a, uchar2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar3 __attribute__((const, overloadable))
+ min(uchar3 a, uchar3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uchar4 __attribute__((const, overloadable))
+ min(uchar4 a, uchar4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short __attribute__((const, overloadable))
+ min(short a, short b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short2 __attribute__((const, overloadable))
+ min(short2 a, short2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short3 __attribute__((const, overloadable))
+ min(short3 a, short3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern short4 __attribute__((const, overloadable))
+ min(short4 a, short4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort __attribute__((const, overloadable))
+ min(ushort a, ushort b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort2 __attribute__((const, overloadable))
+ min(ushort2 a, ushort2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort3 __attribute__((const, overloadable))
+ min(ushort3 a, ushort3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ushort4 __attribute__((const, overloadable))
+ min(ushort4 a, ushort4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int __attribute__((const, overloadable))
+ min(int a, int b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int2 __attribute__((const, overloadable))
+ min(int2 a, int2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int3 __attribute__((const, overloadable))
+ min(int3 a, int3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern int4 __attribute__((const, overloadable))
+ min(int4 a, int4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint __attribute__((const, overloadable))
+ min(uint a, uint b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint2 __attribute__((const, overloadable))
+ min(uint2 a, uint2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint3 __attribute__((const, overloadable))
+ min(uint3 a, uint3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern uint4 __attribute__((const, overloadable))
+ min(uint4 a, uint4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long __attribute__((const, overloadable))
+ min(long a, long b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long2 __attribute__((const, overloadable))
+ min(long2 a, long2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long3 __attribute__((const, overloadable))
+ min(long3 a, long3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern long4 __attribute__((const, overloadable))
+ min(long4 a, long4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong __attribute__((const, overloadable))
+ min(ulong a, ulong b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong2 __attribute__((const, overloadable))
+ min(ulong2 a, ulong2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong3 __attribute__((const, overloadable))
+ min(ulong3 a, ulong3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern ulong4 __attribute__((const, overloadable))
+ min(ulong4 a, ulong4 b);
+#endif
+
+/*
+ * mix: Mixes two values
+ *
+ * Returns start + ((stop - start) * fraction).
+ *
+ * This can be useful for mixing two values. For example, to create a new color that is
+ * 40% color1 and 60% color2, use mix(color1, color2, 0.6f).
+ */
+extern float __attribute__((const, overloadable))
+ mix(float start, float stop, float fraction);
+
+extern float2 __attribute__((const, overloadable))
+ mix(float2 start, float2 stop, float2 fraction);
+
+extern float3 __attribute__((const, overloadable))
+ mix(float3 start, float3 stop, float3 fraction);
+
+extern float4 __attribute__((const, overloadable))
+ mix(float4 start, float4 stop, float4 fraction);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ mix(half start, half stop, half fraction);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ mix(half2 start, half2 stop, half2 fraction);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ mix(half3 start, half3 stop, half3 fraction);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ mix(half4 start, half4 stop, half4 fraction);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ mix(float2 start, float2 stop, float fraction);
+
+extern float3 __attribute__((const, overloadable))
+ mix(float3 start, float3 stop, float fraction);
+
+extern float4 __attribute__((const, overloadable))
+ mix(float4 start, float4 stop, float fraction);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ mix(half2 start, half2 stop, half fraction);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ mix(half3 start, half3 stop, half fraction);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ mix(half4 start, half4 stop, half fraction);
+#endif
+
+/*
+ * modf: Integral and fractional components
+ *
+ * Returns the integral and fractional components of a number.
+ *
+ * Both components will have the same sign as x. For example, for an input of -3.72f,
+ * *integral_part will be set to -3.f and .72f will be returned.
+ *
+ * Parameters:
+ * v: Source value.
+ * integral_part: *integral_part will be set to the integral portion of the number.
+ *
+ * Returns: Floating point portion of the value.
+ */
+extern float __attribute__((overloadable))
+ modf(float v, float* integral_part);
+
+extern float2 __attribute__((overloadable))
+ modf(float2 v, float2* integral_part);
+
+extern float3 __attribute__((overloadable))
+ modf(float3 v, float3* integral_part);
+
+extern float4 __attribute__((overloadable))
+ modf(float4 v, float4* integral_part);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ modf(half v, half* integral_part);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ modf(half2 v, half2* integral_part);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ modf(half3 v, half3* integral_part);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ modf(half4 v, half4* integral_part);
+#endif
+
+/*
+ * nan: Not a Number
+ *
+ * Returns a NaN value (Not a Number).
+ *
+ * Parameters:
+ * v: Not used.
+ */
+extern float __attribute__((const, overloadable))
+ nan(uint v);
+
+/*
+ * nan_half: Not a Number
+ *
+ * Returns a half-precision floating point NaN value (Not a Number).
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ nan_half(void);
+#endif
+
+/*
+ * native_acos: Approximate inverse cosine
+ *
+ * Returns the approximate inverse cosine, in radians.
+ *
+ * This function yields undefined results from input values less than -1 or greater than 1.
+ *
+ * See also acos().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_acos(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_acos(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_acos(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_acos(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_acos(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_acos(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_acos(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_acos(half4 v);
+#endif
+
+/*
+ * native_acosh: Approximate inverse hyperbolic cosine
+ *
+ * Returns the approximate inverse hyperbolic cosine, in radians.
+ *
+ * See also acosh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_acosh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_acosh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_acosh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_acosh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_acosh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_acosh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_acosh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_acosh(half4 v);
+#endif
+
+/*
+ * native_acospi: Approximate inverse cosine divided by pi
+ *
+ * Returns the approximate inverse cosine in radians, divided by pi.
+ *
+ * To get an inverse cosine measured in degrees, use acospi(a) * 180.f.
+ *
+ * This function yields undefined results from input values less than -1 or greater than 1.
+ *
+ * See also acospi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_acospi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_acospi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_acospi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_acospi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_acospi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_acospi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_acospi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_acospi(half4 v);
+#endif
+
+/*
+ * native_asin: Approximate inverse sine
+ *
+ * Returns the approximate inverse sine, in radians.
+ *
+ * This function yields undefined results from input values less than -1 or greater than 1.
+ *
+ * See also asin().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_asin(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_asin(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_asin(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_asin(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_asin(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_asin(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_asin(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_asin(half4 v);
+#endif
+
+/*
+ * native_asinh: Approximate inverse hyperbolic sine
+ *
+ * Returns the approximate inverse hyperbolic sine, in radians.
+ *
+ * See also asinh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_asinh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_asinh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_asinh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_asinh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_asinh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_asinh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_asinh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_asinh(half4 v);
+#endif
+
+/*
+ * native_asinpi: Approximate inverse sine divided by pi
+ *
+ * Returns the approximate inverse sine in radians, divided by pi.
+ *
+ * To get an inverse sine measured in degrees, use asinpi(a) * 180.f.
+ *
+ * This function yields undefined results from input values less than -1 or greater than 1.
+ *
+ * See also asinpi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_asinpi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_asinpi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_asinpi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_asinpi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_asinpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_asinpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_asinpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_asinpi(half4 v);
+#endif
+
+/*
+ * native_atan: Approximate inverse tangent
+ *
+ * Returns the approximate inverse tangent, in radians.
+ *
+ * See also atan().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_atan(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_atan(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_atan(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_atan(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_atan(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_atan(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_atan(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_atan(half4 v);
+#endif
+
+/*
+ * native_atan2: Approximate inverse tangent of a ratio
+ *
+ * Returns the approximate inverse tangent of (numerator / denominator), in radians.
+ *
+ * See also atan2().
+ *
+ * Parameters:
+ * numerator: Numerator.
+ * denominator: Denominator. Can be 0.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_atan2(float numerator, float denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_atan2(float2 numerator, float2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_atan2(float3 numerator, float3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_atan2(float4 numerator, float4 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_atan2(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_atan2(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_atan2(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_atan2(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * native_atan2pi: Approximate inverse tangent of a ratio, divided by pi
+ *
+ * Returns the approximate inverse tangent of (numerator / denominator),
+ * in radians, divided by pi.
+ *
+ * To get an inverse tangent measured in degrees, use atan2pi(n, d) * 180.f.
+ *
+ * See also atan2pi().
+ *
+ * Parameters:
+ * numerator: Numerator.
+ * denominator: Denominator. Can be 0.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_atan2pi(float numerator, float denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_atan2pi(float2 numerator, float2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_atan2pi(float3 numerator, float3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_atan2pi(float4 numerator, float4 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_atan2pi(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_atan2pi(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_atan2pi(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_atan2pi(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * native_atanh: Approximate inverse hyperbolic tangent
+ *
+ * Returns the approximate inverse hyperbolic tangent, in radians.
+ *
+ * See also atanh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_atanh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_atanh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_atanh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_atanh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_atanh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_atanh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_atanh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_atanh(half4 v);
+#endif
+
+/*
+ * native_atanpi: Approximate inverse tangent divided by pi
+ *
+ * Returns the approximate inverse tangent in radians, divided by pi.
+ *
+ * To get an inverse tangent measured in degrees, use atanpi(a) * 180.f.
+ *
+ * See also atanpi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_atanpi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_atanpi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_atanpi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_atanpi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_atanpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_atanpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_atanpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_atanpi(half4 v);
+#endif
+
+/*
+ * native_cbrt: Approximate cube root
+ *
+ * Returns the approximate cubic root.
+ *
+ * See also cbrt().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_cbrt(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_cbrt(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_cbrt(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_cbrt(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_cbrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_cbrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_cbrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_cbrt(half4 v);
+#endif
+
+/*
+ * native_cos: Approximate cosine
+ *
+ * Returns the approximate cosine of an angle measured in radians.
+ *
+ * See also cos().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_cos(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_cos(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_cos(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_cos(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_cos(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_cos(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_cos(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_cos(half4 v);
+#endif
+
+/*
+ * native_cosh: Approximate hypebolic cosine
+ *
+ * Returns the approximate hypebolic cosine.
+ *
+ * See also cosh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_cosh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_cosh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_cosh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_cosh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_cosh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_cosh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_cosh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_cosh(half4 v);
+#endif
+
+/*
+ * native_cospi: Approximate cosine of a number multiplied by pi
+ *
+ * Returns the approximate cosine of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the cosine of a value measured in degrees, call cospi(v / 180.f).
+ *
+ * See also cospi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_cospi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_cospi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_cospi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_cospi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_cospi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_cospi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_cospi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_cospi(half4 v);
+#endif
+
+/*
+ * native_divide: Approximate division
+ *
+ * Computes the approximate division of two values.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_divide(float left_vector, float right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_divide(float2 left_vector, float2 right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_divide(float3 left_vector, float3 right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_divide(float4 left_vector, float4 right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_divide(half left_vector, half right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_divide(half2 left_vector, half2 right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_divide(half3 left_vector, half3 right_vector);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_divide(half4 left_vector, half4 right_vector);
+#endif
+
+/*
+ * native_exp: Approximate e raised to a number
+ *
+ * Fast approximate exp.
+ *
+ * It is valid for inputs from -86.f to 86.f. The precision is no worse than what would be
+ * expected from using 16 bit floating point values.
+ *
+ * See also exp().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_exp(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_exp(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_exp(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_exp(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_exp(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_exp(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_exp(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_exp(half4 v);
+#endif
+
+/*
+ * native_exp10: Approximate 10 raised to a number
+ *
+ * Fast approximate exp10.
+ *
+ * It is valid for inputs from -37.f to 37.f. The precision is no worse than what would be
+ * expected from using 16 bit floating point values.
+ *
+ * See also exp10().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_exp10(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_exp10(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_exp10(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_exp10(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_exp10(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_exp10(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_exp10(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_exp10(half4 v);
+#endif
+
+/*
+ * native_exp2: Approximate 2 raised to a number
+ *
+ * Fast approximate exp2.
+ *
+ * It is valid for inputs from -125.f to 125.f. The precision is no worse than what would be
+ * expected from using 16 bit floating point values.
+ *
+ * See also exp2().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_exp2(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_exp2(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_exp2(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_exp2(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_exp2(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_exp2(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_exp2(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_exp2(half4 v);
+#endif
+
+/*
+ * native_expm1: Approximate e raised to a number minus one
+ *
+ * Returns the approximate (e ^ v) - 1.
+ *
+ * See also expm1().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_expm1(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_expm1(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_expm1(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_expm1(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_expm1(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_expm1(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_expm1(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_expm1(half4 v);
+#endif
+
+/*
+ * native_hypot: Approximate hypotenuse
+ *
+ * Returns the approximate native_sqrt(a * a + b * b)
+ *
+ * See also hypot().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_hypot(float a, float b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_hypot(float2 a, float2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_hypot(float3 a, float3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_hypot(float4 a, float4 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_hypot(half a, half b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_hypot(half2 a, half2 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_hypot(half3 a, half3 b);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_hypot(half4 a, half4 b);
+#endif
+
+/*
+ * native_log: Approximate natural logarithm
+ *
+ * Fast approximate log.
+ *
+ * It is not accurate for values very close to zero.
+ *
+ * See also log().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_log(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_log(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_log(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_log(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_log(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_log(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_log(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_log(half4 v);
+#endif
+
+/*
+ * native_log10: Approximate base 10 logarithm
+ *
+ * Fast approximate log10.
+ *
+ * It is not accurate for values very close to zero.
+ *
+ * See also log10().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_log10(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_log10(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_log10(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_log10(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_log10(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_log10(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_log10(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_log10(half4 v);
+#endif
+
+/*
+ * native_log1p: Approximate natural logarithm of a value plus 1
+ *
+ * Returns the approximate natural logarithm of (v + 1.0f)
+ *
+ * See also log1p().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_log1p(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_log1p(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_log1p(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_log1p(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_log1p(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_log1p(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_log1p(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_log1p(half4 v);
+#endif
+
+/*
+ * native_log2: Approximate base 2 logarithm
+ *
+ * Fast approximate log2.
+ *
+ * It is not accurate for values very close to zero.
+ *
+ * See also log2().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_log2(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_log2(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_log2(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_log2(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_log2(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_log2(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_log2(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_log2(half4 v);
+#endif
+
+/*
+ * native_powr: Approximate positive base raised to an exponent
+ *
+ * Fast approximate (base ^ exponent).
+ *
+ * See also powr().
+ *
+ * Parameters:
+ * base: Must be between 0.f and 256.f. The function is not accurate for values very close to zero.
+ * exponent: Must be between -15.f and 15.f.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float __attribute__((const, overloadable))
+ native_powr(float base, float exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float2 __attribute__((const, overloadable))
+ native_powr(float2 base, float2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float3 __attribute__((const, overloadable))
+ native_powr(float3 base, float3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 18))
+extern float4 __attribute__((const, overloadable))
+ native_powr(float4 base, float4 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_powr(half base, half exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_powr(half2 base, half2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_powr(half3 base, half3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_powr(half4 base, half4 exponent);
+#endif
+
+/*
+ * native_recip: Approximate reciprocal
+ *
+ * Returns the approximate approximate reciprocal of a value.
+ *
+ * See also half_recip().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_recip(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_recip(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_recip(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_recip(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_recip(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_recip(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_recip(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_recip(half4 v);
+#endif
+
+/*
+ * native_rootn: Approximate nth root
+ *
+ * Compute the approximate Nth root of a value.
+ *
+ * See also rootn().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_rootn(float v, int n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_rootn(float2 v, int2 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_rootn(float3 v, int3 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_rootn(float4 v, int4 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_rootn(half v, int n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_rootn(half2 v, int2 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_rootn(half3 v, int3 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_rootn(half4 v, int4 n);
+#endif
+
+/*
+ * native_rsqrt: Approximate reciprocal of a square root
+ *
+ * Returns approximate (1 / sqrt(v)).
+ *
+ * See also rsqrt(), half_rsqrt().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_rsqrt(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_rsqrt(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_rsqrt(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_rsqrt(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_rsqrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_rsqrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_rsqrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_rsqrt(half4 v);
+#endif
+
+/*
+ * native_sin: Approximate sine
+ *
+ * Returns the approximate sine of an angle measured in radians.
+ *
+ * See also sin().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_sin(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_sin(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_sin(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_sin(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_sin(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_sin(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_sin(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_sin(half4 v);
+#endif
+
+/*
+ * native_sincos: Approximate sine and cosine
+ *
+ * Returns the approximate sine and cosine of a value.
+ *
+ * See also sincos().
+ *
+ * Parameters:
+ * v: Incoming value in radians.
+ * cos: *cos will be set to the cosine value.
+ *
+ * Returns: Sine.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((overloadable))
+ native_sincos(float v, float* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((overloadable))
+ native_sincos(float2 v, float2* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((overloadable))
+ native_sincos(float3 v, float3* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((overloadable))
+ native_sincos(float4 v, float4* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ native_sincos(half v, half* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ native_sincos(half2 v, half2* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ native_sincos(half3 v, half3* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ native_sincos(half4 v, half4* cos);
+#endif
+
+/*
+ * native_sinh: Approximate hyperbolic sine
+ *
+ * Returns the approximate hyperbolic sine of a value specified in radians.
+ *
+ * See also sinh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_sinh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_sinh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_sinh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_sinh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_sinh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_sinh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_sinh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_sinh(half4 v);
+#endif
+
+/*
+ * native_sinpi: Approximate sine of a number multiplied by pi
+ *
+ * Returns the approximate sine of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the sine of a value measured in degrees, call sinpi(v / 180.f).
+ *
+ * See also sinpi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_sinpi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_sinpi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_sinpi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_sinpi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_sinpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_sinpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_sinpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_sinpi(half4 v);
+#endif
+
+/*
+ * native_sqrt: Approximate square root
+ *
+ * Returns the approximate sqrt(v).
+ *
+ * See also sqrt(), half_sqrt().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_sqrt(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_sqrt(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_sqrt(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_sqrt(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_sqrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_sqrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_sqrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_sqrt(half4 v);
+#endif
+
+/*
+ * native_tan: Approximate tangent
+ *
+ * Returns the approximate tangent of an angle measured in radians.
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_tan(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_tan(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_tan(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_tan(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_tan(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_tan(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_tan(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_tan(half4 v);
+#endif
+
+/*
+ * native_tanh: Approximate hyperbolic tangent
+ *
+ * Returns the approximate hyperbolic tangent of a value.
+ *
+ * See also tanh().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_tanh(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_tanh(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_tanh(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_tanh(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_tanh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_tanh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_tanh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_tanh(half4 v);
+#endif
+
+/*
+ * native_tanpi: Approximate tangent of a number multiplied by pi
+ *
+ * Returns the approximate tangent of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the tangent of a value measured in degrees, call tanpi(v / 180.f).
+ *
+ * See also tanpi().
+ */
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float __attribute__((const, overloadable))
+ native_tanpi(float v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ native_tanpi(float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ native_tanpi(float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ native_tanpi(float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ native_tanpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ native_tanpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ native_tanpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ native_tanpi(half4 v);
+#endif
+
+/*
+ * nextafter: Next floating point number
+ *
+ * Returns the next representable floating point number from v towards target.
+ *
+ * In rs_fp_relaxed mode, a denormalized input value may not yield the next denormalized
+ * value, as support of denormalized values is optional in relaxed mode.
+ */
+extern float __attribute__((const, overloadable))
+ nextafter(float v, float target);
+
+extern float2 __attribute__((const, overloadable))
+ nextafter(float2 v, float2 target);
+
+extern float3 __attribute__((const, overloadable))
+ nextafter(float3 v, float3 target);
+
+extern float4 __attribute__((const, overloadable))
+ nextafter(float4 v, float4 target);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ nextafter(half v, half target);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ nextafter(half2 v, half2 target);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ nextafter(half3 v, half3 target);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ nextafter(half4 v, half4 target);
+#endif
+
+/*
+ * pow: Base raised to an exponent
+ *
+ * Returns base raised to the power exponent, i.e. base ^ exponent.
+ *
+ * pown() and powr() are similar. pown() takes an integer exponent. powr() assumes the
+ * base to be non-negative.
+ */
+extern float __attribute__((const, overloadable))
+ pow(float base, float exponent);
+
+extern float2 __attribute__((const, overloadable))
+ pow(float2 base, float2 exponent);
+
+extern float3 __attribute__((const, overloadable))
+ pow(float3 base, float3 exponent);
+
+extern float4 __attribute__((const, overloadable))
+ pow(float4 base, float4 exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ pow(half base, half exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ pow(half2 base, half2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ pow(half3 base, half3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ pow(half4 base, half4 exponent);
+#endif
+
+/*
+ * pown: Base raised to an integer exponent
+ *
+ * Returns base raised to the power exponent, i.e. base ^ exponent.
+ *
+ * pow() and powr() are similar. The both take a float exponent. powr() also assumes the
+ * base to be non-negative.
+ */
+extern float __attribute__((const, overloadable))
+ pown(float base, int exponent);
+
+extern float2 __attribute__((const, overloadable))
+ pown(float2 base, int2 exponent);
+
+extern float3 __attribute__((const, overloadable))
+ pown(float3 base, int3 exponent);
+
+extern float4 __attribute__((const, overloadable))
+ pown(float4 base, int4 exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ pown(half base, int exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ pown(half2 base, int2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ pown(half3 base, int3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ pown(half4 base, int4 exponent);
+#endif
+
+/*
+ * powr: Positive base raised to an exponent
+ *
+ * Returns base raised to the power exponent, i.e. base ^ exponent. base must be >= 0.
+ *
+ * pow() and pown() are similar. They both make no assumptions about the base.
+ * pow() takes a float exponent while pown() take an integer.
+ *
+ * See also native_powr().
+ */
+extern float __attribute__((const, overloadable))
+ powr(float base, float exponent);
+
+extern float2 __attribute__((const, overloadable))
+ powr(float2 base, float2 exponent);
+
+extern float3 __attribute__((const, overloadable))
+ powr(float3 base, float3 exponent);
+
+extern float4 __attribute__((const, overloadable))
+ powr(float4 base, float4 exponent);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ powr(half base, half exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ powr(half2 base, half2 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ powr(half3 base, half3 exponent);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ powr(half4 base, half4 exponent);
+#endif
+
+/*
+ * radians: Converts degrees into radians
+ *
+ * Converts from degrees to radians.
+ */
+extern float __attribute__((const, overloadable))
+ radians(float v);
+
+extern float2 __attribute__((const, overloadable))
+ radians(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ radians(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ radians(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ radians(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ radians(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ radians(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ radians(half4 v);
+#endif
+
+/*
+ * remainder: Remainder of a division
+ *
+ * Returns the remainder of (numerator / denominator), where the quotient is rounded towards
+ * the nearest integer.
+ *
+ * The function fmod() is similar but rounds toward the closest interger.
+ * For example, fmod(-3.8f, 2.f) returns -1.8f (-3.8f - -1.f * 2.f)
+ * while remainder(-3.8f, 2.f) returns 0.2f (-3.8f - -2.f * 2.f).
+ */
+extern float __attribute__((const, overloadable))
+ remainder(float numerator, float denominator);
+
+extern float2 __attribute__((const, overloadable))
+ remainder(float2 numerator, float2 denominator);
+
+extern float3 __attribute__((const, overloadable))
+ remainder(float3 numerator, float3 denominator);
+
+extern float4 __attribute__((const, overloadable))
+ remainder(float4 numerator, float4 denominator);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ remainder(half numerator, half denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ remainder(half2 numerator, half2 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ remainder(half3 numerator, half3 denominator);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ remainder(half4 numerator, half4 denominator);
+#endif
+
+/*
+ * remquo: Remainder and quotient of a division
+ *
+ * Returns the quotient and the remainder of (numerator / denominator).
+ *
+ * Only the sign and lowest three bits of the quotient are guaranteed to be accurate.
+ *
+ * This function is useful for implementing periodic functions. The low three bits of the
+ * quotient gives the quadrant and the remainder the distance within the quadrant.
+ * For example, an implementation of sin(x) could call remquo(x, PI / 2.f, &quadrant)
+ * to reduce very large value of x to something within a limited range.
+ *
+ * Example: remquo(-23.5f, 8.f, &quot) sets the lowest three bits of quot to 3
+ * and the sign negative. It returns 0.5f.
+ *
+ * Parameters:
+ * numerator: Numerator.
+ * denominator: Denominator.
+ * quotient: *quotient will be set to the integer quotient.
+ *
+ * Returns: Remainder, precise only for the low three bits.
+ */
+extern float __attribute__((overloadable))
+ remquo(float numerator, float denominator, int* quotient);
+
+extern float2 __attribute__((overloadable))
+ remquo(float2 numerator, float2 denominator, int2* quotient);
+
+extern float3 __attribute__((overloadable))
+ remquo(float3 numerator, float3 denominator, int3* quotient);
+
+extern float4 __attribute__((overloadable))
+ remquo(float4 numerator, float4 denominator, int4* quotient);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ remquo(half numerator, half denominator, int* quotient);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ remquo(half2 numerator, half2 denominator, int2* quotient);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ remquo(half3 numerator, half3 denominator, int3* quotient);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ remquo(half4 numerator, half4 denominator, int4* quotient);
+#endif
+
+/*
+ * rint: Round to even
+ *
+ * Rounds to the nearest integral value.
+ *
+ * rint() rounds half values to even. For example, rint(0.5f) returns 0.f and
+ * rint(1.5f) returns 2.f. Similarly, rint(-0.5f) returns -0.f and
+ * rint(-1.5f) returns -2.f.
+ *
+ * round() is similar but rounds away from zero. trunc() truncates the decimal fraction.
+ */
+extern float __attribute__((const, overloadable))
+ rint(float v);
+
+extern float2 __attribute__((const, overloadable))
+ rint(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ rint(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ rint(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ rint(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ rint(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ rint(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ rint(half4 v);
+#endif
+
+/*
+ * rootn: Nth root
+ *
+ * Compute the Nth root of a value.
+ *
+ * See also native_rootn().
+ */
+extern float __attribute__((const, overloadable))
+ rootn(float v, int n);
+
+extern float2 __attribute__((const, overloadable))
+ rootn(float2 v, int2 n);
+
+extern float3 __attribute__((const, overloadable))
+ rootn(float3 v, int3 n);
+
+extern float4 __attribute__((const, overloadable))
+ rootn(float4 v, int4 n);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ rootn(half v, int n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ rootn(half2 v, int2 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ rootn(half3 v, int3 n);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ rootn(half4 v, int4 n);
+#endif
+
+/*
+ * round: Round away from zero
+ *
+ * Round to the nearest integral value.
+ *
+ * round() rounds half values away from zero. For example, round(0.5f) returns 1.f
+ * and round(1.5f) returns 2.f. Similarly, round(-0.5f) returns -1.f
+ * and round(-1.5f) returns -2.f.
+ *
+ * rint() is similar but rounds half values toward even. trunc() truncates the decimal fraction.
+ */
+extern float __attribute__((const, overloadable))
+ round(float v);
+
+extern float2 __attribute__((const, overloadable))
+ round(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ round(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ round(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ round(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ round(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ round(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ round(half4 v);
+#endif
+
+/*
+ * rsqrt: Reciprocal of a square root
+ *
+ * Returns (1 / sqrt(v)).
+ *
+ * See also half_rsqrt(), native_rsqrt().
+ */
+extern float __attribute__((const, overloadable))
+ rsqrt(float v);
+
+extern float2 __attribute__((const, overloadable))
+ rsqrt(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ rsqrt(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ rsqrt(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ rsqrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ rsqrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ rsqrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ rsqrt(half4 v);
+#endif
+
+/*
+ * sign: Sign of a value
+ *
+ * Returns the sign of a value.
+ *
+ * if (v < 0) return -1.f;
+ * else if (v > 0) return 1.f;
+ * else return 0.f;
+ */
+extern float __attribute__((const, overloadable))
+ sign(float v);
+
+extern float2 __attribute__((const, overloadable))
+ sign(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ sign(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ sign(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ sign(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ sign(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ sign(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ sign(half4 v);
+#endif
+
+/*
+ * sin: Sine
+ *
+ * Returns the sine of an angle measured in radians.
+ *
+ * See also native_sin().
+ */
+extern float __attribute__((const, overloadable))
+ sin(float v);
+
+extern float2 __attribute__((const, overloadable))
+ sin(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ sin(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ sin(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ sin(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ sin(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ sin(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ sin(half4 v);
+#endif
+
+/*
+ * sincos: Sine and cosine
+ *
+ * Returns the sine and cosine of a value.
+ *
+ * See also native_sincos().
+ *
+ * Parameters:
+ * v: Incoming value in radians.
+ * cos: *cos will be set to the cosine value.
+ *
+ * Returns: Sine of v.
+ */
+extern float __attribute__((overloadable))
+ sincos(float v, float* cos);
+
+extern float2 __attribute__((overloadable))
+ sincos(float2 v, float2* cos);
+
+extern float3 __attribute__((overloadable))
+ sincos(float3 v, float3* cos);
+
+extern float4 __attribute__((overloadable))
+ sincos(float4 v, float4* cos);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((overloadable))
+ sincos(half v, half* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((overloadable))
+ sincos(half2 v, half2* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((overloadable))
+ sincos(half3 v, half3* cos);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((overloadable))
+ sincos(half4 v, half4* cos);
+#endif
+
+/*
+ * sinh: Hyperbolic sine
+ *
+ * Returns the hyperbolic sine of v, where v is measured in radians.
+ *
+ * See also native_sinh().
+ */
+extern float __attribute__((const, overloadable))
+ sinh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ sinh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ sinh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ sinh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ sinh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ sinh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ sinh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ sinh(half4 v);
+#endif
+
+/*
+ * sinpi: Sine of a number multiplied by pi
+ *
+ * Returns the sine of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the sine of a value measured in degrees, call sinpi(v / 180.f).
+ *
+ * See also native_sinpi().
+ */
+extern float __attribute__((const, overloadable))
+ sinpi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ sinpi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ sinpi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ sinpi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ sinpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ sinpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ sinpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ sinpi(half4 v);
+#endif
+
+/*
+ * sqrt: Square root
+ *
+ * Returns the square root of a value.
+ *
+ * See also half_sqrt(), native_sqrt().
+ */
+extern float __attribute__((const, overloadable))
+ sqrt(float v);
+
+extern float2 __attribute__((const, overloadable))
+ sqrt(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ sqrt(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ sqrt(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ sqrt(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ sqrt(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ sqrt(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ sqrt(half4 v);
+#endif
+
+/*
+ * step: 0 if less than a value, 0 otherwise
+ *
+ * Returns 0.f if v < edge, 1.f otherwise.
+ *
+ * This can be useful to create conditional computations without using loops and branching
+ * instructions. For example, instead of computing (a[i] < b[i]) ? 0.f : atan2(a[i], b[i])
+ * for the corresponding elements of a vector, you could instead use step(a, b) * atan2(a, b).
+ */
+extern float __attribute__((const, overloadable))
+ step(float edge, float v);
+
+extern float2 __attribute__((const, overloadable))
+ step(float2 edge, float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ step(float3 edge, float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ step(float4 edge, float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ step(half edge, half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ step(half2 edge, half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ step(half3 edge, half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ step(half4 edge, half4 v);
+#endif
+
+extern float2 __attribute__((const, overloadable))
+ step(float2 edge, float v);
+
+extern float3 __attribute__((const, overloadable))
+ step(float3 edge, float v);
+
+extern float4 __attribute__((const, overloadable))
+ step(float4 edge, float v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ step(half2 edge, half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ step(half3 edge, half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ step(half4 edge, half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float2 __attribute__((const, overloadable))
+ step(float edge, float2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float3 __attribute__((const, overloadable))
+ step(float edge, float3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 21))
+extern float4 __attribute__((const, overloadable))
+ step(float edge, float4 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ step(half edge, half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ step(half edge, half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ step(half edge, half4 v);
+#endif
+
+/*
+ * tan: Tangent
+ *
+ * Returns the tangent of an angle measured in radians.
+ *
+ * See also native_tan().
+ */
+extern float __attribute__((const, overloadable))
+ tan(float v);
+
+extern float2 __attribute__((const, overloadable))
+ tan(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ tan(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ tan(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ tan(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ tan(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ tan(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ tan(half4 v);
+#endif
+
+/*
+ * tanh: Hyperbolic tangent
+ *
+ * Returns the hyperbolic tangent of a value.
+ *
+ * See also native_tanh().
+ */
+extern float __attribute__((const, overloadable))
+ tanh(float v);
+
+extern float2 __attribute__((const, overloadable))
+ tanh(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ tanh(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ tanh(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ tanh(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ tanh(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ tanh(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ tanh(half4 v);
+#endif
+
+/*
+ * tanpi: Tangent of a number multiplied by pi
+ *
+ * Returns the tangent of (v * pi), where (v * pi) is measured in radians.
+ *
+ * To get the tangent of a value measured in degrees, call tanpi(v / 180.f).
+ *
+ * See also native_tanpi().
+ */
+extern float __attribute__((const, overloadable))
+ tanpi(float v);
+
+extern float2 __attribute__((const, overloadable))
+ tanpi(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ tanpi(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ tanpi(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ tanpi(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ tanpi(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ tanpi(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ tanpi(half4 v);
+#endif
+
+/*
+ * tgamma: Gamma function
+ *
+ * Returns the gamma function of a value.
+ *
+ * See also lgamma().
+ */
+extern float __attribute__((const, overloadable))
+ tgamma(float v);
+
+extern float2 __attribute__((const, overloadable))
+ tgamma(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ tgamma(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ tgamma(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ tgamma(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ tgamma(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ tgamma(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ tgamma(half4 v);
+#endif
+
+/*
+ * trunc: Truncates a floating point
+ *
+ * Rounds to integral using truncation.
+ *
+ * For example, trunc(1.7f) returns 1.f and trunc(-1.7f) returns -1.f.
+ *
+ * See rint() and round() for other rounding options.
+ */
+extern float __attribute__((const, overloadable))
+ trunc(float v);
+
+extern float2 __attribute__((const, overloadable))
+ trunc(float2 v);
+
+extern float3 __attribute__((const, overloadable))
+ trunc(float3 v);
+
+extern float4 __attribute__((const, overloadable))
+ trunc(float4 v);
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half __attribute__((const, overloadable))
+ trunc(half v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half2 __attribute__((const, overloadable))
+ trunc(half2 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half3 __attribute__((const, overloadable))
+ trunc(half3 v);
+#endif
+
+#if (defined(RS_VERSION) && (RS_VERSION >= 24))
+extern half4 __attribute__((const, overloadable))
+ trunc(half4 v);
+#endif
+
+/*
+ * rsClamp: Restrain a value to a range
+ *
+ * DEPRECATED. Do not use.
+ *
+ * Clamp a value between low and high.
+ *
+ * Parameters:
+ * amount: Value to clamp.
+ * low: Lower bound.
+ * high: Upper bound.
+ */
+extern char __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(char amount, char low, char high);
+
+extern uchar __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(uchar amount, uchar low, uchar high);
+
+extern short __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(short amount, short low, short high);
+
+extern ushort __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(ushort amount, ushort low, ushort high);
+
+extern int __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(int amount, int low, int high);
+
+extern uint __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use clamp() instead.")
+#endif
+))
+ rsClamp(uint amount, uint low, uint high);
+
+/*
+ * rsFrac: Returns the fractional part of a float
+ *
+ * DEPRECATED. Do not use.
+ *
+ * Returns the fractional part of a float
+ */
+extern float __attribute__((const, overloadable
+#if (defined(RS_VERSION) && (RS_VERSION >= 22))
+, deprecated("Use fract() instead.")
+#endif
+))
+ rsFrac(float v);
+
+/*
+ * rsRand: Pseudo-random number
+ *
+ * Return a random value between 0 (or min_value) and max_malue.
+ */
+extern int __attribute__((overloadable))
+ rsRand(int max_value);
+
+extern int __attribute__((overloadable))
+ rsRand(int min_value, int max_value);
+
+extern float __attribute__((overloadable))
+ rsRand(float max_value);
+
+extern float __attribute__((overloadable))
+ rsRand(float min_value, float max_value);
+
+#endif // RENDERSCRIPT_RS_MATH_RSH