Move ulp increment/decrement functions into rmath utils.
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911542c534
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@ -4,6 +4,7 @@
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//! From Theory to Implementation" 3rd edition by Pharr et al.
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//! From Theory to Implementation" 3rd edition by Pharr et al.
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use crate::math::{dot, Normal, Point, Vector};
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use crate::math::{dot, Normal, Point, Vector};
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pub use rmath::utils::{decrement_ulp, increment_ulp};
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#[inline(always)]
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#[inline(always)]
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pub fn fp_gamma(n: u32) -> f32 {
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pub fn fp_gamma(n: u32) -> f32 {
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@ -12,36 +13,6 @@ pub fn fp_gamma(n: u32) -> f32 {
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(e * n as f32) / (1.0 - (e * n as f32))
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(e * n as f32) / (1.0 - (e * n as f32))
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}
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}
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pub fn increment_ulp(v: f32) -> f32 {
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if v.is_finite() {
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if v > 0.0 {
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f32::from_bits(v.to_bits() + 1)
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} else if v < -0.0 {
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f32::from_bits(v.to_bits() - 1)
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} else {
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f32::from_bits(0x00_00_00_01)
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}
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} else {
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// Infinity or NaN.
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v
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}
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}
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pub fn decrement_ulp(v: f32) -> f32 {
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if v.is_finite() {
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if v > 0.0 {
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f32::from_bits(v.to_bits() - 1)
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} else if v < -0.0 {
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f32::from_bits(v.to_bits() + 1)
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} else {
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f32::from_bits(0x80_00_00_01)
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}
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} else {
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// Infinity or NaN.
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v
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}
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}
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pub fn robust_ray_origin(pos: Point, pos_err: f32, nor: Normal, ray_dir: Vector) -> Point {
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pub fn robust_ray_origin(pos: Point, pos_err: f32, nor: Normal, ray_dir: Vector) -> Point {
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// Get surface normal pointing in the same
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// Get surface normal pointing in the same
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// direction as ray_dir.
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// direction as ray_dir.
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@ -81,51 +52,7 @@ pub fn robust_ray_origin(pos: Point, pos_err: f32, nor: Normal, ray_dir: Vector)
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Point::new(x, y, z)
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Point::new(x, y, z)
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}
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}
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#[cfg(test)]
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// #[cfg(test)]
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mod tests {
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// mod tests {
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use super::*;
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// use super::*;
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// }
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#[test]
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fn inc_ulp() {
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assert!(increment_ulp(1.0) > 1.0);
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assert!(increment_ulp(-1.0) > -1.0);
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}
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#[test]
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fn dec_ulp() {
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assert!(decrement_ulp(1.0) < 1.0);
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assert!(decrement_ulp(-1.0) < -1.0);
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}
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#[test]
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fn inc_ulp_zero() {
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assert!(increment_ulp(0.0) > 0.0);
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assert!(increment_ulp(0.0) > -0.0);
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assert!(increment_ulp(-0.0) > 0.0);
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assert!(increment_ulp(-0.0) > -0.0);
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}
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#[test]
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fn dec_ulp_zero() {
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assert!(decrement_ulp(0.0) < 0.0);
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assert!(decrement_ulp(0.0) < -0.0);
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assert!(decrement_ulp(-0.0) < 0.0);
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assert!(decrement_ulp(-0.0) < -0.0);
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}
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#[test]
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fn inc_dec_ulp() {
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assert_eq!(decrement_ulp(increment_ulp(1.0)), 1.0);
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assert_eq!(decrement_ulp(increment_ulp(-1.0)), -1.0);
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assert_eq!(decrement_ulp(increment_ulp(1.2)), 1.2);
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assert_eq!(decrement_ulp(increment_ulp(-1.2)), -1.2);
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}
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#[test]
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fn dec_inc_ulp() {
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assert_eq!(increment_ulp(decrement_ulp(1.0)), 1.0);
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assert_eq!(increment_ulp(decrement_ulp(-1.0)), -1.0);
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assert_eq!(increment_ulp(decrement_ulp(1.2)), 1.2);
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assert_eq!(increment_ulp(decrement_ulp(-1.2)), -1.2);
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}
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}
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@ -9,7 +9,7 @@
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#[inline(always)]
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#[inline(always)]
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pub fn ulp_diff(a: f32, b: f32) -> u32 {
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pub fn ulp_diff(a: f32, b: f32) -> u32 {
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const TOP_BIT: u32 = 1 << 31;
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const TOP_BIT: u32 = 1 << 31;
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const NAN_THRESHOLD: u32 = 0x7f800000;
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const INFINITY: u32 = 0x7f800000;
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let a = a.to_bits();
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let a = a.to_bits();
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let b = b.to_bits();
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let b = b.to_bits();
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@ -19,7 +19,7 @@ pub fn ulp_diff(a: f32, b: f32) -> u32 {
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let a_abs = a & !TOP_BIT;
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let a_abs = a & !TOP_BIT;
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let b_abs = b & !TOP_BIT;
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let b_abs = b & !TOP_BIT;
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if a_abs > NAN_THRESHOLD || b_abs > NAN_THRESHOLD {
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if a_abs > INFINITY || b_abs > INFINITY {
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// NaNs always return maximum ulps apart.
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// NaNs always return maximum ulps apart.
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u32::MAX
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u32::MAX
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} else if a_sign == b_sign {
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} else if a_sign == b_sign {
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@ -36,6 +36,56 @@ pub fn ulps_eq(a: f32, b: f32, max_ulps: u32) -> bool {
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ulp_diff(a, b) <= max_ulps.min(u32::MAX - 1)
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ulp_diff(a, b) <= max_ulps.min(u32::MAX - 1)
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}
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}
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/// Increments to the next representable floating point number.
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///
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/// Notes:
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/// - 0.0 and -0.0 are treated as the same value. E.g. starting from the
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/// number just before -0.0, it only takes two increments to get to the
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/// number just after 0.0.
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/// - Infinity, NaN, and their negative counterparts are returned
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/// unchanged.
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/// - Incrementing `f32::MAX` results in infinity.
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#[inline(always)]
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pub fn increment_ulp(v: f32) -> f32 {
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if v.is_finite() {
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if v > 0.0 {
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f32::from_bits(v.to_bits() + 1)
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} else if v < -0.0 {
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f32::from_bits(v.to_bits() - 1)
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} else {
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f32::from_bits(1)
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}
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} else {
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// Infinity or NaN.
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v
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}
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}
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/// Decrements to the previous representable floating point number.
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///
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/// Notes:
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/// - 0.0 and -0.0 are treated as the same value. E.g. starting from the
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/// number just after 0.0, it only takes two decrements to get to the
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/// number just before -0.0.
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/// - Infinity, NaN, and their negative counterparts are returned
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/// unchanged.
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/// - Decrementing `-f32::MAX` results in -infinity.
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#[inline(always)]
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pub fn decrement_ulp(v: f32) -> f32 {
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if v.is_finite() {
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if v > 0.0 {
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f32::from_bits(v.to_bits() - 1)
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} else if v < -0.0 {
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f32::from_bits(v.to_bits() + 1)
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} else {
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f32::from_bits(0x80000001)
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}
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} else {
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// Infinity or NaN.
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v
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}
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}
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#[cfg(test)]
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#[cfg(test)]
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mod tests {
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mod tests {
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use super::*;
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use super::*;
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@ -93,4 +143,54 @@ mod tests {
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assert!(!ulps_eq(std::f32::NAN, std::f32::INFINITY, 1 << 31));
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assert!(!ulps_eq(std::f32::NAN, std::f32::INFINITY, 1 << 31));
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assert!(!ulps_eq(std::f32::INFINITY, std::f32::NAN, 1 << 31));
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assert!(!ulps_eq(std::f32::INFINITY, std::f32::NAN, 1 << 31));
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}
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}
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#[test]
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fn inc_ulp() {
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assert!(increment_ulp(1.0) > 1.0);
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assert!(increment_ulp(-1.0) > -1.0);
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assert!(increment_ulp(0.0) > 0.0);
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assert!(increment_ulp(0.0) > -0.0);
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assert!(increment_ulp(-0.0) > 0.0);
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assert!(increment_ulp(-0.0) > -0.0);
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assert!(increment_ulp(f32::MAX) == f32::INFINITY);
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assert!(increment_ulp(f32::INFINITY) == f32::INFINITY);
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assert!(increment_ulp(-f32::INFINITY) == -f32::INFINITY);
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assert!(increment_ulp(f32::NAN).is_nan());
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assert!(increment_ulp(-f32::NAN).is_nan());
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}
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#[test]
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fn dec_ulp() {
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assert!(decrement_ulp(1.0) < 1.0);
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assert!(decrement_ulp(-1.0) < -1.0);
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assert!(decrement_ulp(0.0) < 0.0);
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assert!(decrement_ulp(0.0) < -0.0);
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assert!(decrement_ulp(-0.0) < 0.0);
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assert!(decrement_ulp(-0.0) < -0.0);
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assert!(decrement_ulp(f32::MIN) == -f32::INFINITY);
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assert!(decrement_ulp(f32::INFINITY) == f32::INFINITY);
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assert!(decrement_ulp(-f32::INFINITY) == -f32::INFINITY);
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assert!(decrement_ulp(f32::NAN).is_nan());
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assert!(decrement_ulp(-f32::NAN).is_nan());
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}
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#[test]
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fn inc_dec_ulp() {
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assert_eq!(decrement_ulp(increment_ulp(0.0)), 0.0);
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assert_eq!(decrement_ulp(increment_ulp(-0.0)), 0.0);
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assert_eq!(decrement_ulp(increment_ulp(1.0)), 1.0);
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assert_eq!(decrement_ulp(increment_ulp(-1.0)), -1.0);
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assert_eq!(decrement_ulp(increment_ulp(1.2)), 1.2);
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assert_eq!(decrement_ulp(increment_ulp(-1.2)), -1.2);
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}
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#[test]
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fn dec_inc_ulp() {
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assert_eq!(increment_ulp(decrement_ulp(0.0)), 0.0);
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assert_eq!(increment_ulp(decrement_ulp(-0.0)), 0.0);
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assert_eq!(increment_ulp(decrement_ulp(1.0)), 1.0);
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assert_eq!(increment_ulp(decrement_ulp(-1.0)), -1.0);
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assert_eq!(increment_ulp(decrement_ulp(1.2)), 1.2);
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assert_eq!(increment_ulp(decrement_ulp(-1.2)), -1.2);
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}
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}
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}
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