diff options
Diffstat (limited to 'core/math/basis.cpp')
-rw-r--r-- | core/math/basis.cpp | 114 |
1 files changed, 57 insertions, 57 deletions
diff --git a/core/math/basis.cpp b/core/math/basis.cpp index a9b4651664..e34c1c1315 100644 --- a/core/math/basis.cpp +++ b/core/math/basis.cpp @@ -40,13 +40,13 @@ void Basis::from_z(const Vector3 &p_z) { if (Math::abs(p_z.z) > Math_SQRT12) { // choose p in y-z plane real_t a = p_z[1] * p_z[1] + p_z[2] * p_z[2]; - real_t k = 1.0 / Math::sqrt(a); + real_t k = 1.0f / Math::sqrt(a); elements[0] = Vector3(0, -p_z[2] * k, p_z[1] * k); elements[1] = Vector3(a * k, -p_z[0] * elements[0][2], p_z[0] * elements[0][1]); } else { // choose p in x-y plane real_t a = p_z.x * p_z.x + p_z.y * p_z.y; - real_t k = 1.0 / Math::sqrt(a); + real_t k = 1.0f / Math::sqrt(a); elements[0] = Vector3(-p_z.y * k, p_z.x * k, 0); elements[1] = Vector3(-p_z.z * elements[0].y, p_z.z * elements[0].x, a * k); } @@ -63,7 +63,7 @@ void Basis::invert() { #ifdef MATH_CHECKS ERR_FAIL_COND(det == 0); #endif - real_t s = 1.0 / det; + real_t s = 1.0f / det; set(co[0] * s, cofac(0, 2, 2, 1) * s, cofac(0, 1, 1, 2) * s, co[1] * s, cofac(0, 0, 2, 2) * s, cofac(0, 2, 1, 0) * s, @@ -182,7 +182,7 @@ Basis Basis::diagonalize() { if (Math::is_equal_approx(elements[j][j], elements[i][i])) { angle = Math_PI / 4; } else { - angle = 0.5 * Math::atan(2 * elements[i][j] / (elements[j][j] - elements[i][i])); + angle = 0.5f * Math::atan(2 * elements[i][j] / (elements[j][j] - elements[i][i])); } // Compute the rotation matrix @@ -268,11 +268,11 @@ Basis Basis::scaled_orthogonal(const Vector3 &p_scale) const { } float Basis::get_uniform_scale() const { - return (elements[0].length() + elements[1].length() + elements[2].length()) / 3.0; + return (elements[0].length() + elements[1].length() + elements[2].length()) / 3.0f; } void Basis::make_scale_uniform() { - float l = (elements[0].length() + elements[1].length() + elements[2].length()) / 3.0; + float l = (elements[0].length() + elements[1].length() + elements[2].length()) / 3.0f; for (int i = 0; i < 3; i++) { elements[i].normalize(); elements[i] *= l; @@ -415,7 +415,7 @@ void Basis::rotate_to_align(Vector3 p_start_direction, Vector3 p_end_direction) const Vector3 axis = p_start_direction.cross(p_end_direction).normalized(); if (axis.length_squared() != 0) { real_t dot = p_start_direction.dot(p_end_direction); - dot = CLAMP(dot, -1.0, 1.0); + dot = CLAMP(dot, -1.0f, 1.0f); const real_t angle_rads = Math::acos(dot); set_axis_angle(axis, angle_rads); } @@ -463,10 +463,10 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { Vector3 euler; real_t sy = elements[0][2]; - if (sy < (1.0 - CMP_EPSILON)) { - if (sy > -(1.0 - CMP_EPSILON)) { + if (sy < (1.0f - CMP_EPSILON)) { + if (sy > -(1.0f - CMP_EPSILON)) { // is this a pure Y rotation? - if (elements[1][0] == 0.0 && elements[0][1] == 0.0 && elements[1][2] == 0 && elements[2][1] == 0 && elements[1][1] == 1) { + if (elements[1][0] == 0 && elements[0][1] == 0 && elements[1][2] == 0 && elements[2][1] == 0 && elements[1][1] == 1) { // return the simplest form (human friendlier in editor and scripts) euler.x = 0; euler.y = atan2(elements[0][2], elements[0][0]); @@ -478,13 +478,13 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { } } else { euler.x = Math::atan2(elements[2][1], elements[1][1]); - euler.y = -Math_PI / 2.0; - euler.z = 0.0; + euler.y = -Math_PI / 2.0f; + euler.z = 0.0f; } } else { euler.x = Math::atan2(elements[2][1], elements[1][1]); - euler.y = Math_PI / 2.0; - euler.z = 0.0; + euler.y = Math_PI / 2.0f; + euler.z = 0.0f; } return euler; } break; @@ -498,22 +498,22 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { Vector3 euler; real_t sz = elements[0][1]; - if (sz < (1.0 - CMP_EPSILON)) { - if (sz > -(1.0 - CMP_EPSILON)) { + if (sz < (1.0f - CMP_EPSILON)) { + if (sz > -(1.0f - CMP_EPSILON)) { euler.x = Math::atan2(elements[2][1], elements[1][1]); euler.y = Math::atan2(elements[0][2], elements[0][0]); euler.z = Math::asin(-sz); } else { // It's -1 euler.x = -Math::atan2(elements[1][2], elements[2][2]); - euler.y = 0.0; - euler.z = Math_PI / 2.0; + euler.y = 0.0f; + euler.z = Math_PI / 2.0f; } } else { // It's 1 euler.x = -Math::atan2(elements[1][2], elements[2][2]); - euler.y = 0.0; - euler.z = -Math_PI / 2.0; + euler.y = 0.0f; + euler.z = -Math_PI / 2.0f; } return euler; } break; @@ -543,12 +543,12 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { euler.z = atan2(elements[1][0], elements[1][1]); } } else { // m12 == -1 - euler.x = Math_PI * 0.5; + euler.x = Math_PI * 0.5f; euler.y = atan2(elements[0][1], elements[0][0]); euler.z = 0; } } else { // m12 == 1 - euler.x = -Math_PI * 0.5; + euler.x = -Math_PI * 0.5f; euler.y = -atan2(elements[0][1], elements[0][0]); euler.z = 0; } @@ -565,22 +565,22 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { Vector3 euler; real_t sz = elements[1][0]; - if (sz < (1.0 - CMP_EPSILON)) { - if (sz > -(1.0 - CMP_EPSILON)) { + if (sz < (1.0f - CMP_EPSILON)) { + if (sz > -(1.0f - CMP_EPSILON)) { euler.x = Math::atan2(-elements[1][2], elements[1][1]); euler.y = Math::atan2(-elements[2][0], elements[0][0]); euler.z = Math::asin(sz); } else { // It's -1 euler.x = Math::atan2(elements[2][1], elements[2][2]); - euler.y = 0.0; - euler.z = -Math_PI / 2.0; + euler.y = 0.0f; + euler.z = -Math_PI / 2.0f; } } else { // It's 1 euler.x = Math::atan2(elements[2][1], elements[2][2]); - euler.y = 0.0; - euler.z = Math_PI / 2.0; + euler.y = 0.0f; + euler.z = Math_PI / 2.0f; } return euler; } break; @@ -593,20 +593,20 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { // -cx*sy sx cx*cy Vector3 euler; real_t sx = elements[2][1]; - if (sx < (1.0 - CMP_EPSILON)) { - if (sx > -(1.0 - CMP_EPSILON)) { + if (sx < (1.0f - CMP_EPSILON)) { + if (sx > -(1.0f - CMP_EPSILON)) { euler.x = Math::asin(sx); euler.y = Math::atan2(-elements[2][0], elements[2][2]); euler.z = Math::atan2(-elements[0][1], elements[1][1]); } else { // It's -1 - euler.x = -Math_PI / 2.0; + euler.x = -Math_PI / 2.0f; euler.y = Math::atan2(elements[0][2], elements[0][0]); euler.z = 0; } } else { // It's 1 - euler.x = Math_PI / 2.0; + euler.x = Math_PI / 2.0f; euler.y = Math::atan2(elements[0][2], elements[0][0]); euler.z = 0; } @@ -621,21 +621,21 @@ Vector3 Basis::get_euler(EulerOrder p_order) const { // -sy cy*sx cy*cx Vector3 euler; real_t sy = elements[2][0]; - if (sy < (1.0 - CMP_EPSILON)) { - if (sy > -(1.0 - CMP_EPSILON)) { + if (sy < (1.0f - CMP_EPSILON)) { + if (sy > -(1.0f - CMP_EPSILON)) { euler.x = Math::atan2(elements[2][1], elements[2][2]); euler.y = Math::asin(-sy); euler.z = Math::atan2(elements[1][0], elements[0][0]); } else { // It's -1 euler.x = 0; - euler.y = Math_PI / 2.0; + euler.y = Math_PI / 2.0f; euler.z = -Math::atan2(elements[0][1], elements[1][1]); } } else { // It's 1 euler.x = 0; - euler.y = -Math_PI / 2.0; + euler.y = -Math_PI / 2.0f; euler.z = -Math::atan2(elements[0][1], elements[1][1]); } return euler; @@ -652,15 +652,15 @@ void Basis::set_euler(const Vector3 &p_euler, EulerOrder p_order) { c = Math::cos(p_euler.x); s = Math::sin(p_euler.x); - Basis xmat(1.0, 0.0, 0.0, 0.0, c, -s, 0.0, s, c); + Basis xmat(1, 0, 0, 0, c, -s, 0, s, c); c = Math::cos(p_euler.y); s = Math::sin(p_euler.y); - Basis ymat(c, 0.0, s, 0.0, 1.0, 0.0, -s, 0.0, c); + Basis ymat(c, 0, s, 0, 1, 0, -s, 0, c); c = Math::cos(p_euler.z); s = Math::sin(p_euler.z); - Basis zmat(c, -s, 0.0, s, c, 0.0, 0.0, 0.0, 1.0); + Basis zmat(c, -s, 0, s, c, 0, 0, 0, 1); switch (p_order) { case EULER_ORDER_XYZ: { @@ -722,10 +722,10 @@ Quaternion Basis::get_quaternion() const { real_t trace = m.elements[0][0] + m.elements[1][1] + m.elements[2][2]; real_t temp[4]; - if (trace > 0.0) { - real_t s = Math::sqrt(trace + 1.0); - temp[3] = (s * 0.5); - s = 0.5 / s; + if (trace > 0.0f) { + real_t s = Math::sqrt(trace + 1.0f); + temp[3] = (s * 0.5f); + s = 0.5f / s; temp[0] = ((m.elements[2][1] - m.elements[1][2]) * s); temp[1] = ((m.elements[0][2] - m.elements[2][0]) * s); @@ -737,9 +737,9 @@ Quaternion Basis::get_quaternion() const { int j = (i + 1) % 3; int k = (i + 2) % 3; - real_t s = Math::sqrt(m.elements[i][i] - m.elements[j][j] - m.elements[k][k] + 1.0); - temp[i] = s * 0.5; - s = 0.5 / s; + real_t s = Math::sqrt(m.elements[i][i] - m.elements[j][j] - m.elements[k][k] + 1.0f); + temp[i] = s * 0.5f; + s = 0.5f / s; temp[3] = (m.elements[k][j] - m.elements[j][k]) * s; temp[j] = (m.elements[j][i] + m.elements[i][j]) * s; @@ -782,10 +782,10 @@ int Basis::get_orthogonal_index() const { for (int i = 0; i < 3; i++) { for (int j = 0; j < 3; j++) { real_t v = orth[i][j]; - if (v > 0.5) { - v = 1.0; - } else if (v < -0.5) { - v = -1.0; + if (v > 0.5f) { + v = 1.0f; + } else if (v < -0.5f) { + v = -1.0f; } else { v = 0; } @@ -890,14 +890,14 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const { void Basis::set_quaternion(const Quaternion &p_quaternion) { real_t d = p_quaternion.length_squared(); - real_t s = 2.0 / d; + real_t s = 2.0f / d; real_t xs = p_quaternion.x * s, ys = p_quaternion.y * s, zs = p_quaternion.z * s; real_t wx = p_quaternion.w * xs, wy = p_quaternion.w * ys, wz = p_quaternion.w * zs; real_t xx = p_quaternion.x * xs, xy = p_quaternion.x * ys, xz = p_quaternion.x * zs; real_t yy = p_quaternion.y * ys, yz = p_quaternion.y * zs, zz = p_quaternion.z * zs; - set(1.0 - (yy + zz), xy - wz, xz + wy, - xy + wz, 1.0 - (xx + zz), yz - wx, - xz - wy, yz + wx, 1.0 - (xx + yy)); + set(1.0f - (yy + zz), xy - wz, xz + wy, + xy + wz, 1.0f - (xx + zz), yz - wx, + xz - wy, yz + wx, 1.0f - (xx + yy)); } void Basis::set_axis_angle(const Vector3 &p_axis, real_t p_phi) { @@ -907,9 +907,9 @@ void Basis::set_axis_angle(const Vector3 &p_axis, real_t p_phi) { #endif Vector3 axis_sq(p_axis.x * p_axis.x, p_axis.y * p_axis.y, p_axis.z * p_axis.z); real_t cosine = Math::cos(p_phi); - elements[0][0] = axis_sq.x + cosine * (1.0 - axis_sq.x); - elements[1][1] = axis_sq.y + cosine * (1.0 - axis_sq.y); - elements[2][2] = axis_sq.z + cosine * (1.0 - axis_sq.z); + elements[0][0] = axis_sq.x + cosine * (1.0f - axis_sq.x); + elements[1][1] = axis_sq.y + cosine * (1.0f - axis_sq.y); + elements[2][2] = axis_sq.z + cosine * (1.0f - axis_sq.z); real_t sine = Math::sin(p_phi); real_t t = 1 - cosine; |