From f547ba69e6b152f07e4d68fd3e9c90181fbb548b Mon Sep 17 00:00:00 2001
From: Andrey Pokidov <9942846+Morgend@users.noreply.github.com>
Date: Tue, 25 Feb 2025 17:14:21 +0700
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---
 basic-geometry/tangent-pair.h |  4 ++--
 basic-geometry/vector2.c      | 42 +++++++++++++++++++++++++++++++++++
 basic-geometry/vector2.h      |  6 +++++
 3 files changed, 50 insertions(+), 2 deletions(-)

diff --git a/basic-geometry/tangent-pair.h b/basic-geometry/tangent-pair.h
index 0375771..8305fbf 100644
--- a/basic-geometry/tangent-pair.h
+++ b/basic-geometry/tangent-pair.h
@@ -129,7 +129,7 @@ inline float bgc_tangent_pair_get_angle_fp32(const BgcTangentPairFP32* tangent,
         return 0.75f * bgc_angle_get_full_circle_fp32(unit);
     }
 
-    return bgc_radians_to_units_fp32(atan2f(tangent->cos, tangent->sin), unit);
+    return bgc_radians_to_units_fp32(atan2f(tangent->sin, tangent->cos), unit);
 }
 
 inline double bgc_tangent_pair_get_angle_fp64(const BgcTangentPairFP64* tangent, const BgcAngleUnitEnum unit)
@@ -150,7 +150,7 @@ inline double bgc_tangent_pair_get_angle_fp64(const BgcTangentPairFP64* tangent,
         return 0.75 * bgc_angle_get_full_circle_fp64(unit);
     }
 
-    return bgc_radians_to_units_fp64(atan2(tangent->cos, tangent->sin), unit);
+    return bgc_radians_to_units_fp64(atan2(tangent->sin, tangent->cos), unit);
 }
 
 // ==================== Copy ==================== //
diff --git a/basic-geometry/vector2.c b/basic-geometry/vector2.c
index 62d261e..c2aeece 100644
--- a/basic-geometry/vector2.c
+++ b/basic-geometry/vector2.c
@@ -93,6 +93,48 @@ extern inline int bgc_vector2_are_close_enough_fp64(const BgcVector2FP64* vector
 extern inline int bgc_vector2_are_close_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2);
 extern inline int bgc_vector2_are_close_fp64(const BgcVector2FP64* vector1, const BgcVector2FP64* vector2);
 
+// =============== Complex Power ================ //
+
+void bgc_vector2_get_complex_power_fp32(const BgcVector2FP32* base, const BgcVector2FP32* power, BgcVector2FP32* result)
+{
+    const float base_square_modulus = bgc_vector2_get_square_modulus_fp32(base);
+
+    if (base_square_modulus <= BGC_SQUARE_EPSYLON_FP32) {
+        result->x1 = 0.0f;
+        result->x2 = 0.0f;
+        return;
+    }
+
+    const float log_modulus = logf(base_square_modulus) * 0.5f;
+    const float angle = atan2f(base->x2, base->x1);
+
+    const float result_modulus = expf(power->x1 * log_modulus - power->x2 * angle);
+    const float result_angle = power->x1 * angle + power->x2 * log_modulus;
+
+    result->x1 = result_modulus * cosf(result_angle);
+    result->x2 = result_modulus * sinf(result_angle);
+}
+
+void bgc_vector2_get_complex_power_fp64(const BgcVector2FP64* base, const BgcVector2FP64* power, BgcVector2FP64* result)
+{
+    const double base_square_modulus = bgc_vector2_get_square_modulus_fp64(base);
+
+    if (base_square_modulus <= BGC_SQUARE_EPSYLON_FP64) {
+        result->x1 = 0.0;
+        result->x2 = 0.0;
+        return;
+    }
+
+    const double log_modulus = log(base_square_modulus) * 0.5;
+    const double angle = atan2(base->x2, base->x1);
+
+    const double result_modulus = exp(power->x1 * log_modulus - power->x2 * angle);
+    const double result_angle = power->x1 * angle + power->x2 * log_modulus;
+
+    result->x1 = result_modulus * cos(result_angle);
+    result->x2 = result_modulus * sin(result_angle);
+}
+
 // =================== Angle ==================== //
 
 float bgc_vector2_get_angle_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcAngleUnitEnum unit)
diff --git a/basic-geometry/vector2.h b/basic-geometry/vector2.h
index 3347351..1db1291 100644
--- a/basic-geometry/vector2.h
+++ b/basic-geometry/vector2.h
@@ -458,6 +458,12 @@ inline void bgc_vector2_get_complex_product_fp64(const BgcVector2FP64* vector1,
     result->x2 = x2;
 }
 
+// =============== Complex Power ================ //
+
+void bgc_vector2_get_complex_power_fp32(const BgcVector2FP32* base, const BgcVector2FP32* power, BgcVector2FP32* result);
+
+void bgc_vector2_get_complex_power_fp64(const BgcVector2FP64* base, const BgcVector2FP64* power, BgcVector2FP64* result);
+
 // =================== Angle ==================== //
 
 float bgc_vector2_get_angle_fp32(const BgcVector2FP32* vector1, const BgcVector2FP32* vector2, const BgcAngleUnitEnum unit);