sin, cos and tan added

src/copapy/__init__.py

@@ -1,8 +1,7 @@
 from ._target import Target
-from ._basic_types import NumLike, variable, \
+from ._basic_types import NumLike, variable, generic_sdb, iif
-     generic_sdb, iif
 from ._vectors import vector
-from ._math import sqrt, abs
+from ._math import sqrt, abs, sin, cos, tan
 
 __all__ = [
     "Target",
@@ -13,4 +12,7 @@ __all__ = [
     "vector",
     "sqrt",
     "abs",
+    "sin",
+    "cos",
+    "tan"
 ]

src/copapy/_math.py

@@ -1,6 +1,7 @@
 from . import variable, NumLike
 from typing import TypeVar, Any, overload
 from ._basic_types import add_op
+import math
 
 T = TypeVar("T", int, float, variable[int], variable[float])
 
@@ -24,14 +25,55 @@ def sqrt(x: NumLike) -> variable[float] | float:
 
 
 @overload
-def sqrt2(x: float | int) -> float: ...
+def sin(x: float | int) -> float: ...
 @overload
-def sqrt2(x: variable[Any]) -> variable[float]: ...
+def sin(x: variable[Any]) -> variable[float]: ...
-def sqrt2(x: NumLike) -> variable[float] | float:
+def sin(x: NumLike) -> variable[float] | float:
-    """Square root function"""
+    """Sine function
+    
+    Arguments:
+        x: Input value
+        
+    Returns:
+        Square root of x
+    """
     if isinstance(x, variable):
-        return add_op('sqrt2', [x, x])  # TODO: fix 2. dummy argument
+        return add_op('sin', [x, x])  # TODO: fix 2. dummy argument
-    return float(x ** 0.5)
+    return math.sin(x)
+
+@overload
+def cos(x: float | int) -> float: ...
+@overload
+def cos(x: variable[Any]) -> variable[float]: ...
+def cos(x: NumLike) -> variable[float] | float:
+    """Cosine function
+    
+    Arguments:
+        x: Input value
+        
+    Returns:
+        Cosine of x
+    """
+    if isinstance(x, variable):
+        return add_op('cos', [x, x])  # TODO: fix 2. dummy argument
+    return math.cos(x)
+
+@overload
+def tan(x: float | int) -> float: ...
+@overload
+def tan(x: variable[Any]) -> variable[float]: ...
+def tan(x: NumLike) -> variable[float] | float:
+    """Tangent function
+    
+    Arguments:
+        x: Input value
+        
+    Returns:
+        Tangent of x
+    """
+    if isinstance(x, variable):
+        return add_op('tan', [x, x])  # TODO: fix 2. dummy argument
+    return math.tan(x)
 
 
 def get_42() -> variable[float]:

stencils/aux_functions.c

@@ -25,10 +25,6 @@ __attribute__((noinline)) float aux_sqrt(float n) {
     return x;
 }
 
-__attribute__((noinline)) float aux_sqrt2(float n) {
-    return n * 20.5 + 4.5;
-}
-
 __attribute__((noinline)) float aux_get_42(float n) {
     return n + 42.0;
 }

stencils/generate_stencils.py

@@ -11,7 +11,7 @@ stencil_func_prefix = '__attribute__((naked)) '  # Remove callee prolog
 
 stack_size = 64
 
-includes = ['aux_functions.c']
+includes = ['aux_functions.c', 'trigonometry.c']
 
 
 def read_files(files: list[str]) -> str:
@@ -212,10 +212,9 @@ if __name__ == "__main__":
         t_out = 'int' if t1 == 'float' else 'float'
         code += get_cast(t1, t2, t_out)
 
-    for t1, t2 in permutate(types, types):
+    fnames = ['sqrt', 'sin', 'cos', 'tan', 'get_42']
-        code += get_func2('sqrt', t1, t2)
+    for fn, t1, t2 in permutate(fnames, types, types):
-        code += get_func2('sqrt2', t1, t2)
+        code += get_func2(fn, t1, t2)
-        code += get_func2('get_42', t1, t2)
 
     for op, t1, t2 in permutate(ops, types, types):
         t_out = t1 if t1 == t2 else 'float'

stencils/trigonometry.c

@@ -0,0 +1,146 @@
+const float PI      = 3.14159265358979323846f;
+const float PI_2    = 1.57079632679489661923f;  // pi/2
+const float TWO_OVER_PI = 0.63661977236758134308f; // 2/pi
+
+__attribute__((noinline)) float aux_sin(float x) {
+    // convert to double for reduction (better precision)
+    double xd = (double)x;
+
+    // quadrant index q = nearest integer to x * 2/pi
+    double qd = xd * (double)TWO_OVER_PI;
+    // round to nearest integer (tie to even rounding not guaranteed)
+    int q = (int)(qd + (qd >= 0.0 ? 0.5 : -0.5));
+
+    // range-reduced remainder r = x − q*(pi/2)
+    // use hi/lo parts for pi/2 to reduce error
+    const double PIO2_HI = 1.57079625129699707031;     // ≈ first 24 bits
+    const double PIO2_LO = 7.54978941586159635335e-08; // remainder
+    double r_d = xd - (double)q * PIO2_HI - (double)q * PIO2_LO;
+    float r = (float)r_d;
+
+    // Select function and sign based on quadrant
+    int qm = q & 3;
+    int use_cos = (qm == 1 || qm == 3);
+    int sign = (qm == 0 || qm == 1) ? +1 : -1;
+
+    float r2 = r * r;
+
+    if (!use_cos) {
+        // sin(r) polynomial: r + s3*r^3 + s5*r^5 + s7*r^7 + s9*r^9
+        const float s3 = -1.6666667163e-1f;
+        const float s5 =  8.3333337680e-3f;
+        const float s7 = -1.9841270114e-4f;
+        const float s9 =  2.7557314297e-6f;
+
+        float p = ((s9 * r2 + s7) * r2 + s5) * r2 + s3;
+        float result = r + r * r2 * p;
+        return sign * result;
+    } else {
+        // cos(r) polynomial: 1 + c2*r2 + c4*r4 + c6*r6 + c8*r8
+        const float c2 = -0.5f;
+        const float c4 =  4.1666667908e-2f;
+        const float c6 = -1.3888889225e-3f;
+        const float c8 =  2.4801587642e-5f;
+
+        float p = ((c8 * r2 + c6) * r2 + c4) * r2 + c2;
+        float result = 1.0f + r2 * p;
+        return sign * result;
+    }
+}
+
+__attribute__((noinline)) float aux_cos(float x) {
+    // convert to double for reduction (better precision)
+    double xd = (double)x;
+
+    // quadrant index q = nearest integer to x * 2/pi
+    double qd = xd * (double)TWO_OVER_PI;
+    // round to nearest integer (tie to even rounding not guaranteed)
+    int q = (int)(qd + (qd >= 0.0 ? 0.5 : -0.5));
+
+    // range-reduced remainder r = x − q*(pi/2)
+    // use hi/lo parts for pi/2 to reduce error
+    const double PIO2_HI = 1.57079625129699707031;     // ≈ first 24 bits
+    const double PIO2_LO = 7.54978941586159635335e-08; // remainder
+    double r_d = xd - (double)q * PIO2_HI - (double)q * PIO2_LO;
+    float r = (float)r_d;
+
+    // Select function and sign based on quadrant
+    int qm = q & 3;
+    int use_sin = (qm == 1 || qm == 3);
+    int sign = (qm == 0 || qm == 1) ? +1 : -1;
+
+    float r2 = r * r;
+
+    if (use_sin) {
+        // sin(r) polynomial: r + s3*r^3 + s5*r^5 + s7*r^7 + s9*r^9
+        const float s3 = -1.6666667163e-1f;
+        const float s5 =  8.3333337680e-3f;
+        const float s7 = -1.9841270114e-4f;
+        const float s9 =  2.7557314297e-6f;
+
+        float p = ((s9 * r2 + s7) * r2 + s5) * r2 + s3;
+        float result = r + r * r2 * p;
+        return sign * result;
+    } else {
+        // cos(r) polynomial: 1 + c2*r2 + c4*r4 + c6*r6 + c8*r8
+        const float c2 = -0.5f;
+        const float c4 =  4.1666667908e-2f;
+        const float c6 = -1.3888889225e-3f;
+        const float c8 =  2.4801587642e-5f;
+
+        float p = ((c8 * r2 + c6) * r2 + c4) * r2 + c2;
+        float result = 1.0f + r2 * p;
+        return sign * result;
+    }
+}
+
+__attribute__((noinline)) float aux_tan(float x) {
+    // Promote to double for argument reduction (improves precision)
+    double xd = (double)x;
+    double qd = xd * (double)TWO_OVER_PI;   // how many half-pi multiples
+    int q = (int)(qd + (qd >= 0.0 ? 0.5 : -0.5));  // nearest integer
+
+    // Range reduce: r = x - q*(pi/2)
+    const double PIO2_HI = 1.57079625129699707031;     // π/2 high part
+    const double PIO2_LO = 7.54978941586159635335e-08; // π/2 low part
+    double r_d = xd - (double)q * PIO2_HI - (double)q * PIO2_LO;
+    float r = (float)r_d;
+
+    // For tan: period is π, so q mod 2 determines sign
+    int qm = q & 3;
+    int use_cot = (qm == 1 || qm == 3); // tan(x) = ±cot(r) in odd quadrants
+    int sign = (qm == 1 || qm == 2) ? -1 : +1;
+
+    // Polynomial approximations
+    // sin(r) ≈ r + s3*r^3 + s5*r^5 + s7*r^7 + s9*r^9
+    const float s3 = -1.6666667163e-1f;
+    const float s5 =  8.3333337680e-3f;
+    const float s7 = -1.9841270114e-4f;
+    const float s9 =  2.7557314297e-6f;
+
+    // cos(r) ≈ 1 + c2*r^2 + c4*r^4 + c6*r^6 + c8*r^8
+    const float c2 = -0.5f;
+    const float c4 =  4.1666667908e-2f;
+    const float c6 = -1.3888889225e-3f;
+    const float c8 =  2.4801587642e-5f;
+
+    float r2 = r * r;
+    float sin_r = r + r * r2 * (((s9 * r2 + s7) * r2 + s5) * r2 + s3);
+    float cos_r = 1.0f + r2 * (((c8 * r2 + c6) * r2 + c4) * r2 + c2);
+
+    float t;
+    if (!use_cot) {
+        // tan(r) = sin(r)/cos(r)
+        t = sin_r / cos_r;
+    } else {
+        // cot(r) = cos(r)/sin(r)
+        t = cos_r / sin_r;
+    }
+
+    // Avoid catastrophic explosion near vertical asymptotes
+    // Clip to a large finite value (~1e8)
+    if (t > 1e8f)  t = 1e8f;
+    if (t < -1e8f) t = -1e8f;
+
+    return sign * t;
+}

tests/test_math.py

@@ -36,8 +36,8 @@ def test_fine():
     c_f = variable(a_f)
     # c_b = variable(True)
 
-    ret_test = (c_f ** 2, c_i ** -1, cp.sqrt(c_i), cp.sqrt(c_f))  # , c_i & 3)
+    ret_test = (c_f ** 2, c_i ** -1, cp.sqrt(c_i), cp.sqrt(c_f), cp.sin(c_f), cp.cos(c_f), cp.tan(c_f))  # , c_i & 3)
-    ret_refe = (a_f ** 2, a_i ** -1, cp.sqrt(a_i), cp.sqrt(a_f))  # , a_i & 3)
+    ret_refe = (a_f ** 2, a_i ** -1, cp.sqrt(a_i), cp.sqrt(a_f), cp.sin(a_f), cp.cos(a_f), cp.tan(a_f))  # , a_i & 3)
 
     tg = Target()
     print('* compile and copy ...')